homework due now!!!!!!!!!!!

Homework Due Now!!!!!!!!!!!

Answers

Answer 1

Answer:

Option D: 7/3x

Step-by-step explanation:

Because this line passes through the origin (0,0), we know that there is know b-value according to the equation y = mx + b. To figure out the equation, we must first calculate the slope of the linear function.

Slope = △y/△x

△y (change in y) = -7

△x (change in x) = -3

Therefore, the slope is 7/3 and the equation is y = 7/3x.


Related Questions

solve the matrix equation: x1 x2 −2 5 = 8 15 x1 = x2 =

Answers

We obtain x1=10 and x2=10 by solving the one-step matrix equation.

Explain about the Matrix?

A matrix is a set of numbers arranged in rows and columns. Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns.

An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.

Matrices are very expensive items that are used in a variety of applications. Matrix applications are employed in a variety of scientific disciplines in addition to mathematics.

x1 + (-2) = 8

x2 +( 5) = 15

solve 1

x1 - 2 = 8

On both sides of the equation, add 2.

⇒ x1 -2 + 2 = 8 +2

⇒ x1 =8 +2

⇒ x1 = 10

Equation 2 resolution

x2 + 5 = 15

On both sides of the equation, deduct 5

⇒x2 + 5 -5 = 15 - 5

⇒ x2 = 15 - 5

⇒ x2 = 10

To learn more about Matrix refer to:

https://brainly.com/question/2456804

#SPJ4

it is commonly believed that average body temperature for humans is 98.6 degrees f. a study was done in which a group of healthy adults had their temperature measured 1 to 4 times daily for 3 days. this resulted in 175 temperature measurements. the sample mean temperature was 98.2 degrees f, with a sample standard deviation of 0.7 degrees f. construct a 95% confidence interval for the mean body temperature of humans. show all work. round the margin of error and interval bounds to 2 decimal places.

Answers

The 95% confidence interval estimate of the population mean is 98.10< μ < 98.30.

Given that

sample mean = ~x = 95.2

sample standard deviation = s = 0.7

sample size = n = 175

Degrees of freedom = d.f = n - 1 = 175 - 1 = 174

αt /2,d.f = 1.974.

The explanation for step 1

At 95% confidence level

 α= 1-0.95% =1-0.95 =0.05

α /2=0.05/ 2= 0.025

αt /2,d.f = t0.025,174 = 1.974

αt /2,d.f = 1.974

The explanation of Step 2

Margin of error = E = t/2,df x (s /Vn )    =  1.974 x ( 0.7/ V175)   = 0.10

Margin of error = E = 0.10

The 95% confidence interval estimate of the population mean is,

~x- E < μ < ~x + E

98.2 - 0.10< μ < 98.2 + 0.10

98.10< μ < 98.30

Margin of error = E = 0.10

To learn more about confidence interval

https://brainly.com/question/24131141

#SPJ4

What is the approximate total length of iron edging needed to create the square frame and the two diagonals?

43.5 inches
50.9 inches
54.0 inches
61.5 inches

Answers

The approximate total length of iron edging needed to create the square frame and the two diagonals is 43.5 inches. So, option A is correct.

What is a diagonal?

When two vertices of a polygon or polyhedron are not on the same edge, a diagonal in geometry is a line segment that connects them. The term "diagonal" is a colloquial term for any sloping line.

The elements on the line connecting the top left corner and bottom right corner of a square matrix make up the diagonal of a matrix in matrix algebra.

Given, The diagonal of a square is 9 inches.

The side of the square be x as we have assumed.

We have to apply Pythagoras theorem for Δ ABC

AB²+BC²=AC²

x²+x²=9²

x=9/√2

We know that the diagonals in the square bisect each other.

OA = 4.5 inches=OC

OD = 4.5 inches=OB

Therefore, the total length of iron edge that is required for the window is:

=4×Length of square+2 diagonals

= 4×6.36+2×9=43.46 inches

The approximate total length of iron edging needed to create the square frame and the two diagonals is 43.5 inches.

Hence, option A is correct.

To know more about diagonal, visit:

https://brainly.com/question/12274248

#SPJ1

the output voltage for an electric circuit is specified to be 130.asampleof40independentreadings on the voltage for this circuit gave a sample mean 128.6 and standard deviation 2.1.test the hypothesis that the average output voltage is 130against the alternative that it is lessthan 130.useatestwithlevel.05

Answers

Consequently, we deduce that the typical output voltage is under 130.

What is standard deviation ?

In statistics, the standard deviation measures how widely distributed or how much a bunch of values can vary. While a big standard deviation shows that values are scattered throughout a wider range, a low standard deviation suggests that values are frequently close to the set's mean.

Here,

A defined output voltage of 130 is offered for an electrical circuit.

The voltage for this circuit was measured 40 times independently, with a sample mean of 128.6 and a standard deviation of 2.1.

Let's say the average output voltage.

Null Hypothesis, [tex]H_{0}[/tex]:  = 130 denotes that the average output voltage is 130.

A Different Hypothesis, [tex]H_{A}[/tex] :  < 130  ( it indicates that the average output voltage is below 130.)

One-sample t test statistics will be employed in this case because we are unsure about the population standard deviation;

            T.S.  =   ~ [tex]\frac{X^{'}-u }{\frac{s}{\sqrt{n} } }[/tex]

In this case, sample mean output voltage equals 128.6

Sample standard deviation equals 2.1, or s.

n = 40 for the sample of independent readers.

Thus, test statistics equal.

So, test statistics  =    ~[tex]\frac{128.6-130 }{\frac{2.1}{\sqrt{40} } }[/tex]

                              =  -4.216

Now, for a left-tailed test with a 0.05 level of significance, the t table provides a critical value of -1.685 at 39 degrees of freedom. We have enough data to reject our null hypothesis because it will fall in the rejection region because our test statistics are smaller than the crucial value of t, which is -4.216 -1.685.

Consequently, we deduce that the typical output voltage is under 130.

To know more about  standard deviation , visit

https://brainly.com/question/23907081

#SPJ4

Rewrite in simplest terms: 6(0.7y+0.8z)−4z−6(−0.1z−0.6y)
Please help?

Answers

The simplified form can be written as -

7.8y + 1.4z

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have the following expression -

6(0.7y + 0.8z) − 4z − 6(−0.1z − 0.6y)

We have -

6(0.7y + 0.8z) − 4z − 6(−0.1z − 0.6y)

(6 x 0.7y + 6 x 0.8z) - 4z + 6 x 0.1z + 6 x 0.6y

4.2y + 4.8z - 4z + 0.6z + 3.6y

7.8y + 4.8z - 3.4z

7.8y + 1.4z

Therefor, the simplified form can be written as -

7.8y + 1.4z

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

EFGH is a parallelogram. Find the measure of EG.

Answers

In the given diagram, the measure of diagonal EG is 80

Calculating the measure of the diagonal of a parallelogram

From the question, we are to determine the measure of diagonal EG

From the given diagram,

We have a parallelogram.

Since the diagonals of a parallelogram bisect each other, we can write that

EJ = JG

Thus,

4w + 4 = 2w + 22

Solve for w

4w - 2w = 22 - 4

2w = 18

w = 18/2

w = 9

But

EG = EJ + JG

EG = 4w + 4 + 2w + 22

Substitute the value of w

EG = 4(9) + 4 + 2(9) + 22

EG = 36 + 4 + 18 + 22

EG = 80

Hence, the measure of EG is 80

Learn more on Calculating the measure of a diagonal of a parallelogram here: https://brainly.com/question/20513324

#SPJ1

3 Question* (1 Point) 3) The volume of Lake Superior is approximately 1.22 x 10 4 cubic kilometers. The volume of the Pacific Ocean is approximately 6 x 10 8 cubic kilometers. Write About It! About how many times larger is the Pacific Ocean than Lake Superior? Write a mathematical argument that can be used to defend your solution.​

Answers

Answer:

The Pacific Ocean is approximately 4.9 times larger than Lake Superior in terms of volume. This can be shown through the following mathematical argument:

First, divide the volume of the Pacific Ocean by the volume of Lake Superior to determine the size ratio:

6 x 10^8 cubic kilometers / 1.22 x 10^4 cubic kilometers = 4.9

This shows that the Pacific Ocean is approximately 4.9 times larger than Lake Superior.

To defend this solution, we can use the concept of ratio and proportion. We know that the ratio of the volumes of the two bodies of water is equal to the ratio of their respective sizes. Therefore, by finding the ratio of the volumes, we can determine the size ratio.

In this case, the ratio of the volumes is 6 x 10^8 cubic kilometers / 1.22 x 10^4 cubic kilometers, which simplifies to 4.9. This means that the Pacific Ocean is 4.9 times larger than Lake Superior in terms of volume.

This solution can be further supported by the fact that the Pacific Ocean is the largest ocean in the world, while Lake Superior is one of the Great Lakes and is much smaller in size.

Step-by-step explanation:

SELF EXPLANATORY

Find the two solutions to the following equation:
x(x + 10) = 0

Answers

If x = 0, then the equation becomes 0(0 + 10) = 0, which is true. Thus, x = 0 is a solution to the equation.

If (x + 10) = 0, then we can rearrange the equation to solve for x: x = -10. Thus, x = -10 is also a solution to the equation.

Therefore, the two solutions to the equation x(x + 10) = 0 are x = 0 and x = -10.

Answer:

The correct answer is (0) and (-10)

Step-by-step explanation:

The standard form of this equation is (x-a)(x-b)=0

so, here given equation is : x(x+10)=0

For solving the equation, equate both the LHS parts equals to RHS i.e. :

x(x+10)=0

x=0 &                          (x+10)=0 or x=(-10)

                                     

what are m and b in the linear equation, using the common meanings of m and b? 2+3X+5-2X=y

Answers

Answer: m = 1, b = 7.

Step-by-step explanation:

First, you must convert 2 + 3x + 5 - 2x = y to slope-intercept form. (y = mx + b)

y = mx + b
y = x + 7

The slope (m) is 1

The y-intercept (b) is 7

A brick wall 4.3 m by 2.4 m is to be built. How
many bricks will be needed if there are 40 bricks
per m2? (round up to the nearest whole brick)
Help
Please

Answers

413 bricks are needed to build a wall whose area is equivalent to 10.32 m².

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that a brick wall of dimension 4.3 m by 2.4 m is to be built. There are 40 bricks per m².

The area of the wall will be -

[A] = 4.3 x 2.4 = 10.32 m²

[A] = 10.32 m²

Now, for the area of 1 m², 40 bricks are needed. So, for 10.32 m², we can say that -

10.32 x 40

412.8

413 bricks.

Therefore, for the area of 10.32 m², to only 413 bricks are needed to build it.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

SHOW WORK FOR BRAINLIST DUE TODAY

Answers

The graph of Stewart's assignment added as an attachment

How to draw the graph of the scenario?

From the question, we have the following parameters that can be used in our computation:

Number of assignments = 36

Rate of assignment per day = 4

This means that the equation of the scenario is

Number of assignments remaining = Initial number of assignments - Rate of assignment per day * Number of days

Represent the number of assignments remaining with y and the number of days with x

So, we have the following representation

y = Initial number of assignments - Rate of assignment per day * x

Substitute the known values in the above equation, so, we have the following representation

y = 36 - 4 * x

Evaluate the products

y = 36 - 4x

So, the equation is y = 36 - 4x and the graph is added as an attachment

Read more about linear graphs at

https://brainly.com/question/4025726

#SPJ1

A dealer bought some 9-volt batteries for $2,400. She sold them for $5,600, making a profit of $1.60 on each
battery. How many batteries were involved in the deal? a.3,500 b.1,500 c.5,000 d.2,000 e.2,500

Answers

A dealer bought some 9-volt batteries for $2,400. She sold them for $5,600, making a profit of $1.60 on each battery. 2,500 batteries were involved in the deal.

The dealer bought some 9-volt batteries for $2,400 and she sold them for $5,600. To find out how many batteries were involved, we need to calculate how much she made from each battery. We can do this by subtracting the cost of the batteries from the selling price and then dividing it by the number of batteries. Profit per battery = $5,600 - $2,400 = $3,200. Number of batteries = $3,200/$1.60 = 2,500. Therefore, the dealer bought 2,500 batteries.

Learn more about profit here

https://brainly.com/question/28856941

#SPJ4

a farmer plans to fence a rectangular pasture adjacent to a river (see figure). the pasture must contain 405,000 square meters in order to provide enough grass for the herd. no fencing is needed along the river. what dimensions will require the least amount of fencing?

Answers

If the farmer plans to fence a rectangular pasture adjacent to a river than the dimensions that is required for the least amount of fencing is  length = 900 m and width = 450 m  .

In the question ,

it is given that ,

the farmer is planning to fence the rectangular pasture adjacent to the river ,

the area of the pasture is = 405000 square meter .

let the length of the pasture = "y"

let the width of the pasture be = "x" ,

since only three side is fenced , the required perimeter is = 2x + y ;

given that area ⇒ x*y = 405000

y = 405000/x  ;

So , the perimeter equation becomes ;

p = 2x + 405000/x

differentiating and equation to 0 we get ;

p' = 2 - 405000/x²

2 - 405000/x² = 0 ;

2x² = 405000

x² = 202500 ;

x = 450 , putting in perimeter equation ,

we get ; y = 900 .

Therefore , the dimension is length = 900 m and width = 450 m.

Learn more about Area here

https://brainly.com/question/29317693

#SPJ4

An element with mass 420 grams decays by 11.8% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram

Answers

An element with mass 420 grams decays by 11.8% per minute. the amount of the element remaining after 16 minutes is 56.3 grams

What is an exponential function?

This is a type of function that are of 3 main parts

the starting or initial value base function the exponents

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so forth.

Considering the given problem,  

the starting = 420 grams

the base = 1 - r = 1 - 11.8% = 1 - 0.118 = 0.882

the exponents = 16

amount remaining = 420 (0.882)^16

= 56.330895

= 56.3 to the nearest tenths

the amount left is 56.3 g

Learn more about exponential function here:

https://brainly.com/question/29716012

#SPJ1

Me. Melton went out to dinner with her daughter. The price of the meal was $18.49. How much did Ms. Melton pay total after 6% sales tax and a 15% tip?

Answers

$22.37

total taxes = $3.88

i believe !!

on average, how many murders will an american child have seen on various media before middle school?

Answers

Answer:

around 8,000 or 100,000 is the answer

Round 45,621 to each place given below. a. to the nearest ten ___ b. to the nearest hundred ___ c. to the nearest thousand ___ d. to the nearest ten thousand ___

Answers

The number on round off to each place will be 45,621.

The decimal number is rounded to any place by the following concept -

We look at the number to the right of concerned digit. If that number is more than five or exactly five, then we add 1 to our number. However, if it is less than five, then the number remains same.

For instance, if we round 45.621 to nearest tenth, we will get 45.6. This is because on right to it, the number 2 is less than 5. Now, in the mentioned digit which is 45,621, we see there is no decimal and number after that. So, as the digits are 0 which is less than 5, the number will remain as it is.

Learn more about round off -

https://brainly.com/question/26921352

#SPJ4

to study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. the results follow. Construction an analysis of variance table. Use a 05 level of significance to test whether the temperature level has an effect on the mean yield of process

Answers

The mean yield for the three temperatures are equal.

What is Temperature?

Temperature is a unit used to express how hot or cold something is. It can be expressed using the Celsius or Fahrenheit scales, among others. Temperature shows which way heat energy will naturally flow, i.e., from a hotter (body with a higher temperature) to a colder (body with a lower temperature) (one at a lower temperature).

Given:

Number of groups [tex]k=3[/tex]

Number of observation in group 50°C, [tex]n_{1} =5[/tex]

Number of observation in group 60°C, [tex]n_{2} =5[/tex]

Number of observation in group 70°C, [tex]n_{3} =5[/tex]

Total number of observation [tex]N=15[/tex]

Null hypothesis [tex]H_{0}[/tex] :

The mean yield for the three temperatures are equal.

Alternative hypothesis [tex]H_{1}[/tex] : The mean yield for the three temperatures are not equal.

Now, Sum of the squares of between groups:

⇒∑  [tex]n_{i} (X_{i} -X)^{2}[/tex]

Here, [tex]X_{i}[/tex] is the mean of the jth group, [tex]X[/tex] is the overall mean and [tex]n_{1}[/tex] is the sample size of the jth group.

[tex]X=\frac{X_{1} +X_{2}+...+X_{i} }{i}[/tex]

[tex]X_{1} =34+24+36+39+32=165\\X_{2} =30=31+34+23+27=145\\X_{3} =23+28+28+30+31=140[/tex]

[tex]X_{i} =\frac{X_{i} }{n_{i} }[/tex]

⇒ [tex]X_{1} =\frac{165}{5} =33[/tex]

⇒ [tex]X_{2} =\frac{145}{5} =29[/tex]

⇒ [tex]X_{3} =\frac{140}{5} =30[/tex]

[tex]=n_{1} (X_{i} -X)^{2}+n_{2} (X_{2} -X)^{2}+n_{3} (X_{3} -X)^{2}[/tex]

SSB= 5 × [tex](33-30)^{2}[/tex]+ 5 × [tex](29-30)^{2}[/tex] + 5 × [tex](28-30)^{2}[/tex]

      = 5 × [tex]3^{2}[/tex] + 5 × [tex]1^{2}[/tex] + 5 × [tex]2^{2}[/tex]

      = 5 × 9 + 5 × 1 + 5 × 4

      = 45 + 5 + 20

      = 70

Now, Sum of difference between each element and grand mean squared (SST)

⇒ [tex](34-30)^{2} +(34-30)^{2}+(36-30)^{2} +...+(31-30)^{2}[/tex]

⇒ 306

Now, SSE = SST - SSB

= 306 - 70 = 236

Therefore,

Source of         Sum of                 Degrees of                   Mean

variation         squares             freedom                    square

Between      [tex]SSB=70[/tex]           [tex]df_{1} =k-1=2[/tex]            [tex]MSB=\frac{SSB}{df_{1} } =\frac{70}{2} =35[/tex]          

groups

Error    [tex]SSE=236[/tex]        [tex]df_{2} =N-k=12[/tex] [tex]MSE= \frac{SSE}{df_{2} } =\frac{236}{2} =19.67[/tex]                                          

Total                [tex]306[/tex]

Given .05 level of significance. i.e, [tex]F(0.05,2,12)=3.8853[/tex] tabulated value.

As [tex]1.7794 < 3.8853[/tex], tabulated value is higher than calculated value.

So, the null hypothesis is accepted.

Hence, the mean yield for the three temperatures is equal.

Learn more about temperatures

https://brainly.com/question/24746268

#SPJ4

Which of the following Cannot be the measure of a triangle class 7? (a) 9 cm, 6 cm, 5 cm
(b) 7 cm, 7 cm, 5 cm
(c) 13 cm, 7 cm, 6 cm
(d) 9.5 cm, 8 cm, 7 cm​

Answers

Answer:

(c) 13 cm, 7 cm, 6 cm

Step-by-step explanation:

To determine which of the given sets of measurements cannot be the sides of a triangle, we can use the triangle inequality. The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In other words, if the sides of the triangle are a, b, and c, then a + b > c.

In answer choice c: 7 + 6 = 13, meaning that it does not satisfy the above inequality.

Therefore, the answer is (c) 13 cm, 7 cm, 6 cm

if this helps you, it would help me a lot if you could mark this as brainliest :)

find f(2), f(3), f(4), and f(5) if f is defined recursively by f(0) = f(1) = 1 and for n = 1, 2, …

Answers

As a set of inputs with one output for each, a function is defined as a relationship between them.

What is meant by functions?

An equation, rule, or law in mathematics that establishes the link between the independent variable and the dependent variable (the dependent variable). Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.

We have given, f(0) = 3 for all parts.

a) f(n+1) = -2 f(n)

For f(1) put f(n) = f(0), f(0+1) = -2 f(0)

f(1) = -2(3) = -6

For f(2) put f(n = 1), f(1+1) = -2 f(1)

f(2) = -2(-6) = 12

For f(3) put f(n) = f(2),  f(2+1) = -2 f(2)

f(3) = -2(12) = -24

For f(4) put n = 3, f(3+1) = -2 f(3)

f(4) = -2(-24) = 48

For f(5) put n = 4, f(4+1) = -2 f(4)

f(5) = -2(48) = -96

b) f(n+1) = 3, f(n) + 7

For f(1) put n = 0, f(0+1) = 3 f(0)+7

f(1) = 3(3)+7 = 16

For f(2) put n = 1, f(1+1) = 3 f(1)+7

f(2) = 3(16)+7 = 55

For f(3) put f{n}=f{2}, f(2+1)=3 f(2)+7

f(3) = 3(55) + 7 = 172

For f(4) put n = 3, f(3+1) = 3 f(3)+7

f(4) = 3(172)+7 = 523

For f(5) put n = 4, f(4+1) = 3 f(4)+7

f(5) = 3(523)+7 = 1576

c) f(n+1) = f(n)²-2 f(n)-2

For f(1) put n = 0, f(0+1) = f(0)²-2 f(0)-2

f(1) = 3²-2(3)-2 = 1

For f(2) put n = 1, f(1+1) = f(1)²-2 f(1)-2

f(2) = 1²-2(1)-2 = -3

For f(3) put n = 2, f(2+1) = f(2)² - 2 f(2) - 2

f(3) = -3² - 2(-3) - 2 = 13

For f(4) put n = 3, f(3+1) = f(3)² - 2 f(3) - 2

f(4) = 13² - 2(13) - 2 = 141

For f(5) put n=4, f(4+1) = f(4)² - 2 f(4) - 2

f(5) = 141² - 2(141) - 2 = 19597

d) f(n+1)[tex]=3^{\frac{f(n)}{3}}$[/tex]

For f(1) put n = 0, f(0+1) [tex]$=3^{\frac{f(0)}{3}}$[/tex]

f(1) = [tex]3^{\frac{3}{3}}[/tex] = 3

For f(2) put n = 1, f(1+1) [tex]=3^{\frac{f(1)}{3}}$[/tex]

f(2) [tex]=3^{\frac{3}{3}}[/tex] = 3

For f(3) put n = 2, f(2+1) [tex]=3^{\frac{f(2)}{3}}$[/tex]

f(3) [tex]=3^{\frac{3}{3}}[/tex] = 3

For f(4) put n = 3, f(3+1) [tex]$=3^{\frac{f(3)}{3}}$[/tex]

[tex]$f(3)=3^{\frac{3}{3}}=3$[/tex]

For f(4) put n = 3, f(3+1) = [tex]$3^{\frac{f(3)}{3}}$[/tex]

f(4) [tex]$=3^{\frac{3}{3}}[/tex] = 3

For f(5) put n = 4, f(4+1) = [tex]3^{\frac{f(4)}{3}}$[/tex]

f(5) [tex]=3^{\frac{3}{3}}[/tex] = 3

The complete question is:

Find f( 1 ) , f( 2 ) , f( 3 ) , f( 4 ) , and f( 5 ) if f(n) is defined recursively by f( 0 ) = 3 and for n = 0 , 1 , 2 ,... a) f(n + 1 ) = − 2 f(n) . b) f(n + 1 ) = 3 f(n) + 7. c) f(n + 1 ) = f(n) 2 − 2 f(n) − 2. d) f(n + 1 ) = 3 f( slader

To learn more about functions refer to:

https://brainly.com/question/11624077

#SPJ4

f(2)=4, f(3)=7, f(4)=19, f(5)=40

What is a function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. German mathematician Peter Dirichlet initially provided the contemporary concept of function in 1837.

Given, the function is  f(n+1) = f(n) + 3f(n-1)

Calculating f(2) by substituting n=1 in the above equation.

f(2) = f(1) + 3f(0)

⇒f(2) = 1 + 3

⇒f(2) = 4

f(3) is calculated by substituting n=2

f(3) = f(2) + 3f(1)

⇒f(3) = 4 + 3

⇒f(3) = 7

f(4) is calculated by substituting n=3

f(4) = f(3) + 3f(2)

⇒f(4) = 7 + 12

⇒f(4) = 19

f(5) is calculated by substituting n=4

f(5) = f(4) + 3f(3)

⇒f(5) = 19 + 21

⇒f(5) = 40

f(2)=4, f(3)=7, f(4)=19, f(5)=40

To learn more about functions refer to:

brainly.com/question/11624077

#SPJ4

Write the equation of the line perpendicular to y=-3x-1 that passes through the point (3,4)

Answers

The equation of the line perpendicular to y=-3x-1 that passes through the point (3,4) is y = (1/3)x + 3.

What do you mean by equation of line?

The slope of the line and a point on the line can be used to create the equation of a line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The slope of the line given in the question is: -3,

The slope of perpendicular line is negative reciprocal of the slope of other line,

So,

The slope of perpendicular line is: 1/3.

The equation of the line is generally in the form:

y = mx + c

So, the equation of line becomes:

y = (1/3)x + c

We have given that the line passes through the point (3,4).

Putting the values of x and y in the above equation to get the value of c.

4 = (1/3)(3) + c

c = 3

Putting the value of c in the equation,

y = (1/3)x + 3

This is the required equation.

To know more about equation of line, go to link

https://brainly.com/question/18831322

#SPJ1

Answer:

(-3,-4) and (3,4).

Step-by-step explanation:

If Y is the circumcenter of
Please help I’m
Failing

Answers

Answer:

Measures are SV=9 units., SY=14 units, YW= [tex]\sqrt{75units}[/tex], YW=[tex]\sqrt{27units}[/tex]

Step-by-step explanation:

Answer:  8.7    (choice B)

===================================================

Explanation:

The circumcenter is found by intersecting the perpendicular bisectors of the triangle.

Segments VY, WY, and XY are perpendicular bisectors of triangle STU.

A perpendicular bisector has two properties:

It is perpendicular to the given side, i.e. it forms a 90 degree angle.It divides the segment into two equal pieces.

Perpendicular bisector WY divides side TU into equal pieces TW and WU

In short:

TW = WU

So

TW = 11

since WU is equal to 11 as well

---------------------------------------

Focus on triangle TWY.

This is a right triangle with the sides of...

TW = 11 = one legYW = unknown = the other legYT = 14 = hypotenuse

We'll use the pythagorean theorem to determine the unknown leg.

Plug in a = 11 and c = 14. Then let's solve for b.

[tex]a^2+b^2 = c^2\\\\11^2+b^2 = 14^2\\\\121+b^2 = 196\\\\b^2 = 196-121\\\\b^2 = 75\\\\b = \sqrt{75}\\\\b \approx 8.66025\\\\b \approx 8.7\\\\[/tex]

Therefore, segment YW is roughly 8.7 units.

the area of the compound shape below is 30mm^2.
Calculate the value of x.
If your answer is a decimal, give it to 1 d.p

Answers

Answer:

x = 2.5 mm

-------------------------------------

Set equation for area of given shape:

x*4 + x*(2x + 3) = 30

Simplify and solve for x:

4x + 2x² + 3x = 302x²+ 7x = 302x² + 7x - 30 = 0x = [-7 ± √(7² - 4*2*(-30))] /4x = (-7 ± √289)/4x = (-7 ± 17)/4x = (10/4) and x = (- 24)/4 (discarded as negative number for the segment length)x = 2.5 mm

Answer:

x = 2.5 mm

Step-by-step explanation:

A compound shape is made up of two or more basic shapes.

From inspection of the given compound shape, we can see that it is made up of two rectangles.

[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a rectangle}\\\\$A=w \cdot l$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\ \phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}[/tex]

Dimensions of the smaller rectangle:

w = xl = 4 mm

Dimensions of the larger rectangle:

w = xl = (2x + 3) mm

Therefore, the equation for the area of the compound shape is:

[tex]\begin{aligned}\implies \textsf{Area}&=x \cdot 4 + x \cdot (2x+3)\\&=4x+x(2x+3)\\&=4x+2x^2+3x\\&=2x^2+7x\end{aligned}[/tex]

Given the area of the compound shape is 30 mm², substitute this value into the found equation for area and solve for x:

[tex]\begin{aligned}\implies 2x^2+7x &=30\\2x^2+7x-30&=0\\2x^2+12x-5x-30&=0\\2x(x+6)-5(x+6)&=0\\(2x-5)(x+6)&=0\\\\2x-5&=0 \implies x=2.5\\x+6&=0 \implies x=-6\end{aligned}[/tex]

As length is positive, x = 2.5 mm only.

which quadratic equation fits the data in the table?

Answers

Answer:

x^2 - x +3, aka the last option

Step-by-step explanation: y intercept is positive in the table, and leaves us with the first option and the last option. plugging in 3 gets the right answer of 9 for the last choice and gives 15 for the first choice

The word problem below has too little information. Read carefully, then
choose the fact or facts needed to solve the problem.
In the reptile tent, there are albino alligators, saltwater crocodiles, and
freshwater crocodiles. How many more crocodiles than alligators are there in
the reptile tent?
A. All 6 crocodiles were in one large pool.
B. The two alligators were completely white.
C. Albino alligators are very rare.
D. Freshwater crocodiles have thin snouts.

Answers

C. Albino alligators are very rare.

What is crocodiles ?

Crocodiles are large reptiles found in tropical regions of Africa, Asia, the Americas and Australia. They are members of the order Crocodilia, which also includes caimans, gharials and alligators.

crocodiles are more than alligators in the reptile tent because Albino alligators are very rare. according to the passage there are more types of crocodiles ans less alligators.

To know more about crocodiles checkout https://brainly.com/question/16729722

#SPJ1

A person saves 12.5% of his income how much does he spend in a month if his monthly income is Rs 10,000. Give full explanation 

Answers

Answer:

8750 Rs

Step-by-step explanation:


Saves

12.5 : 100 = x : 10 000

x = 10 000 * 12.5 / 100

x = 100 * 12.5

x = 1250 Rs

Total he spends


10 000 - 1250 = 8750 Rs

5x - 4y= 10
10x - 8y = 20

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

5x - 4y = 10 → (1)

10x - 8y = 20 → (2)

multiply (1) by - 2

- 10x + 8y = - 20 → (3)

ad (2) and (3) term by term

0 + 0 = 0

0 = 0 ← true statement

this indicates the system has an infinite number of solutions

2.5kg of potatoes cost £1.40
work out the cost of 4.25kg

Answers

The 2.5kg of potatoes cost £1.40 so the cost of 4.25 kg of potatoes is £2.38.

What is Cost ?

A cost is an outlay needed to create, market, or prepare an asset for regular use. In other words, it's the cost incurred to produce a good, buy inventory, sell goods, or prepare equipment for use in a business process.

Given,

2.5 kg of potatoes = £1.401 kg of potatoes

cost = 1.40/2.5

       = £0.56

To find the cost of 4.25 kg of potatoes is: Then,

1 kg = £0.564.25 kg

      = 0.56 x 4.25

      = £2.38

Thus from the above conclusion we can say that the cost is £2.38.

To know more about calculating cost visit here: https://brainly.com/question/11871927

#SPJ1

an 7.40-cm-diameter, 370 g solid sphere is released from rest at the top of a 2.00-m-long, 19.0 ∘ incline. it rolls, without slipping, to the bottom.

Answers

The angular velocity of the sphere at the bottom of the incline is 88.1 rad/s.

What is angular velocity?

In physics, angular velocity or angular speed, also recognized as angular frequency vector, is a pseudovector portrayal of how fast the angular position or orientation of an object changes over time.

So, angular velocity will be:

mg(h sinθ) = 1/2 Iω² + 1/2mv²

I of solid sphere = 2/5 mr²

Hence,

mg(h sinθ) = 1/2 (2/5 mr²) ω² + 1/2 mv²

Now remove the mass:

g h sin θ = 1/5 r² ω² + 1/2 v²

ω = v/r, v = ωr

Now, calculate angular velocity as follows:
g h sin θ = 1/5 r² ω² + 1/2 (ωr)²

g h sin θ = (7/10) r² ω²

ω² = 10 g h sin θ/7 r²

ω = √10 g h sin θ/7 r²

  = √10 (9.8) (2.1) sin 25° / 7 (0.04)²

  = 88.1 rad/s

Therefore, the angular velocity of the sphere at the bottom of the incline is 88.1 rad/s.

Know more about angular velocity here:

https://brainly.com/question/6860269

#SPJ4

Complete question:
An 8.0 cm diameter, 400 g sphere is released from rest ta the tip of a 2.1 m long, 25-degree incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline?

Sara has $65 and wants to buy the following items from a store.

Board game: $14.95
Building blocks: $25.49
Art kit: $35.79
At the store, all items are one-fourth off of the original price and there is a 5% sales tax. Sara wants to know if she can buy all of these items.

Which statement is TRUE?

Responses

Sara can afford the items because the final price is about $54.
Sara can afford the items because the final price is about $54.

Sara can afford the items because the final price is about $60.
Sara can afford the items because the final price is about $60.

Sara cannot afford the items because the final price is about $76.
Sara cannot afford the items because the final price is about $76.

Sara cannot afford the items because the final price is about $140.

Answers

Answer:

should be option 2, but im sorry if it isnt.

Step-by-step explanation:

Other Questions
A(n) _____corporation is considered closely held with few owners, whereas a(n) ... any investor who wants to purchase shares of stock on the stock exchange. Which of the following is insoluble? (1) calcium chloride, (2) ammonium phosphate, (3) barium sulfate, (4) potassium chromate if managers want to boost a company's credit rating, then they need to take actions that will result in Which of the following was one of Charles Darwin's observations/inferences as he developed his idea on natural selection? A. Members of a population show little variation in their inherited traits. B. Individuals whose inherited traits give them a higher probability of surviving and reproducing tend to leave more offspring. C. All species can produce more offspring than their environment can support, but most offspring go on to survive and reproduce. D. Equal reproduction by all individuals leads to the accumulation of favorable traits over generations. life is the existence of an individual human or animal life is being survival. according to biology life is defined as a characteristic of a living organism that distinguishes the latter from a dead organism or a non-living thing, as specifically distinguished by the capacity to grow, metabolize, respond (to stimuli), adapt, and reproduce. life may also pertain to the biota of a particular region what is the volume of the rectangular pyramid shown? a square pyramid. the square base has side lengths 15 yards and the height is 12 yards. in a world atlas study, 10% of people have blue eye color. lane decided to observe 44 people and she concluded 7 people had blue eyes. calculate the z-score. how does a client application identify a server application on another computer on the network? 60 POINTS ANSWER FOR BRAINLIST AND PROVIDE THE GRATH!! Stewart loves playing Genshin Impact so much that he forgets to do his schoolwork. Its really starting to impact his grades and he has 36 overdue assignments. The semester is almost over, and he really needs to improve his grades. He can realistically complete 4 overdue assignments each day. Draw a graph to representthis situation. what was the political conflict that arose as new states were added to the united states? what happens if you fail a community college class do you have to send the transcript to your school;l A monopolistically competitive market consists of (_____ _____) seller(s), an oligopoly consists of (_____ _____) seller(s), and a monopoly consists of one seller.A) many; a fewB) many; oneC) a few; manyD) one; many why does glucose appear in the urine of a diabetic? group of answer choices no glucose is filtered into the glomerular filtrate. the ascending limb of the loop of henle secretes glucose into the urine. 1 the kidneys produce glucose in diabetes. the carriers for glucose reabsorption reach their maximum rate of transport. the volume of urine is too great to filter. research indicates that bipolar disorders are: question 1 options: 1) twice as likely to be experienced by women 2) commonly misdiagnosed 3) often found to co-occur with other disorders such as an anxiety disorder or substance use disorders 4) rarely seen in the elderly which of the following quotes best summarizes mandelbaum's perspective after surviving the holocaust? what does the windows update delivery optimization function do? the brutality of world war i led writers such as f. scott fitzgerald and ernest hemingway to __________. According to a cloudy history of time, honeywell, ibm, and xerox the dominant companies in what industry in 1975? _________ is The process of obtaining a spectrum and reading the information it contains How effective is the introduction [paragraphs 1- 4] at introducing the phases of matter?