Assume that you graph lines f and g on the same coordinate plane and they intersect at point (4, 5). Which of the following statements is NOT true.

Answer:

This time, ratio is 4:1 for you and 24:5 for your friend

Step-by-step explanation:

For You: Using the same method, join (4,1) and (8,2) with a line and extend it
For your friend: Take (24,5) and (48,10), extend line joining them
Done!

Edit: I took the time variable for the y axis, here's the right graph

Answer: in the graph.

Step-by-step explanation:

When you look at the graph you see time is the x axis and cubes are on the y axis. So your first point is (2, 8) for two hours:8 cubes. From zero, go right 2 and up 8 and place your point. From there go right 2 and up another 8 for your 2nd point. Draw your line. For your second line, 5 hours: 24 cubes, so your first point is right 5 and up 24, place your dot. From there, go right 5 and up 24, draw your dot. Now draw your second line. Graph attached.

Answer:

The product of (px + qy)(ax − by) is pax^2 + qaxby - pbx^2 - qby^2.

Step-by-step explanation:

Answer: apx^2-bpxy+aqxy-bqy^2

Step-by-step explanation: (px+qy)x(ax-by) Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL). That would give you pxax-bpxy+aqxy-qyby. Then calculate the product pxax which would give you apx^2-bpxy+aqxy-qyby. Calculate the other product qyby which would give you apx^2-bpxy+aqxy-bqy^2.  

The measure of each angles are 80 , 35 and 122 degrees.

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.

Given in the figure,

in triangle which contains angles 70 and 30.

let another angle be x .

70 + 30 + x  = 180

x +100 = 180

x = 180 - 100

x = 80

And 80 , 65 and another angle be y in another triangle lies on same line

so

80 + 65 + y = 180

y = 180 - 145

y = 35

let another angle be z .

so

z + y + 23 = 180

z = 180 - 58

z = 122

Therefore, The measure of each angles are 80 , 35 and 122 degrees.

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Answer: The number they are thinking of is 4.

Step-by-step explanation: The greatest common factor of 4 is 4 and 4 goes into 40.

Answer:

w = -2

Step-by-step explanation:

Distribute the -9 on the left side of the equation:

-9w + 36 = 54

Add 9w to both sides of the equation:

36 = 54 + 9w

Subtract 54 from both sides of the equation:

-18 = 9w

Divide both sides of the equation by 9:

w = -2

Answer:

10

Step-by-step explanation:

You need to use the Pythagorean Theorem for this problem since you're solving for the lengths of a right triangle:

A right triangle is a triangle that has a 90-degree angle.

Let's say the side lengths are a, b, and c.

According to the Pythagorean Theorem, the way to relate a, b, and c is:

a^2 + b^2 = c^2   ==> c is the hypotenuse (the diagonal line on the triangle)

We already know a and b since they're given:

a=6 and b=8

Just apply these known values to the Pythagorean theorem:

6^2 + 8^2 = c^2  ==> solve for c

36 + 64 = c^2  ==> simplify

100 = c^2

c = 10  ==> take the square root on both sides

Answer: 10

1)  The number of gallons of soapy water that are in Elianni's bucket are; 1.5 gallons

2) The number of more quarts that it can hold is; 14 more quarts

Elianni puts 12 pints of soapy water in the bucket to wash her blue Hondi. From conversion factors, we know that;

1 pint = 1/8 gallon

Thus;

12 pints = 12 * (1/8)

12 pints =  (12/8) gallons

= 3/2 = 1.5 gallons.

Due to the fact that the bucket is 5 gallon capacity, It can hold:

5 - 1.5 = 3.5 gallons more.

But from conversion factors, we know that;

1 gallon = 4 quarts.

Thus;

3.5 gallons = 3.5 * 4

= 14 quarts more.

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Answer:

Step-by-step explanation:

A. 96 hotdogs is 12 packs of hot dogs because 96/8 = 12

so 12 x 3.96 is $47.52 which is the amount for 96 hot dogs

B. 96 hotdogs is 12 packs of hotdogs

12 * 4.49 = $53.88

Answer: 10 for A

Step-by-step explanation: Because I know

I can only draw the conclusion that if a triangle is equilateral, then it is describing various based on the previous statement, "If a triangle is isosceles, it is then equilateral."

Equilateral describes a triangle that has three equal sides. A triangle is referred to as isosceles if two of its sides are equal.

An equilateral triangle in geometry is a triangle whose sides are all of the same length. Since the three sides are equal, the three angles that are opposite the equal sides are also equal. As a result, it is also known as an equiangular triangle because each angle is 60 degrees.

The length of each side is the same. Two sides of an isosceles triangle are of equal length. Scalene triangle: Each side measures a different distance.

A triangle with two equal sides is called an isosceles triangle. Additionally, the two angles that face the two equal sides are also equal. To put it another way, "An isosceles triangle is a triangle with two congruent sides."

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A linear system that has more variables than equations has infinitely many solutions.

A linear equation in n variables has an (n - 1)-dimensional solution space, meaning that there is a subspace in which all solutions to the equation lie.

If a linear system has more variables than equations, then it is likely that there is more than one subspace that satisfies all the equations in the system, resulting in infinitely many solutions.

It is not possible for the system to have no solutions or only one solution because the system is underdetermined, meaning that there are not enough equations to fully determine the values of all the variables.

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Answer:

136

Step-by-step explanation:

calculating each area as shown in the picture above

Answer: The answer is 1.7 or 1 7/10.

Step-by-step explanation:

The entered points belong to an increasing, linear function.Equation: y = 1.7x + 75.1.

d = √(Δy2 + Δx2) = √(-342 + -202) = √1556 = 39.44617

Answer: 56.52mm

Step-by-step explanation:

The circumference of the wheel is:

C = 2 * pi * r

C = 2 * 3.14 * 225

C = 1413 mm

And the arc length between each spoke would then be:

Arc Length = C / 25

Arc Length = 1413 / 25

Arc Length = 56.52 mm

Rounding to the nearest hundredth, the approximate arc length between each spoke is 56.52 mm.

Answer:

The constant of variation for direct variation is k = y/x.

So we have k = y/x = 5/8

To find y when x = 4, we can use the equation y = kx.

y = kx = (5/8) * 4 = 5

So when x = 4, y = 5

The solution to the compound inequality in interval notation

( -∞, -6] or (1, ∞). So option D is correct

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

Two expressions,

⇒ 3(2x+1) > 9

x+2 ≤ −4

Further, solving both the expressions

3(2x+1) > 9

2x+1 > 9/3

2x  >  3 - 1

 x  >   2/2

 x  >  1

⇒ x+2 ≤ −4

    x ≤  -4 -2  

    x ≤   -6

( -∞, -6] or (1, ∞)

Hence, the interval is ( -∞, -6] or (1, ∞)

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The quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value.

Data in math is a collection of facts and figures that can be in any form numerical or non-numerical. Numerical data is the one you can calculate, and it is always collected in number form, such as scores of students in class, wages of workers in an organization or height of players on a football team, etc.

Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.

Therefore, the quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value.

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y = x + 1,If you know the value of x, you can solve for y by plugging the value of x into the equation and then solving for y. if x = 4,y = 4 + 1y = 5.

The equation is a mathematical expression that consists of symbols and numbers, and is used to calculate a numerical value or result. The symbols in the equation represent variables or constants, which are either given values or unknowns that need to be solved. An equation can also be used to describe relationships between different concepts, such as physical laws or chemical reactions.

y = 2x - 5

To solve for y, rearrange the equation to isolate y on one side. Subtract 2x from both sides to isolate y on the left side:

y - 2x = -5

Now add 2x to both sides to get y by itself on the left side:

y = 2x - 5

Therefore, the solution for y is 2x - 5.

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Three division expressions that are equivalent to 35.78 ÷ 6 without using the dividing power of 10 are 357.8 ÷ 60, 17.89 ÷ 3, and 14.908 ÷ 2.5.

Three division expressions that are equivalent to 35.78 ÷ 6 without using the dividing power of 10 can be written as follows:

357.8 ÷ 60

In this expression, we multiply both 35.78 and 6 by a factor of 10 so that the decimal is removed, making the division much easier. The expression becomes 357.8 ÷ 60, which can be calculated easily. The answer can be written back in decimal form by dividing 357.8 by 60 and then multiplying by 0.1 (which is the reciprocal of 10).

17.89 ÷ 3

In this expression, we divide both 35.78 and 6 by 2, which gives us 17.89 and 3. The expression becomes 17.89 ÷ 3, which can be calculated easily. The answer can be written back in decimal form by dividing 17.79 by 3 and then multiplying by 2.

14.908 ÷ 2.5

In this expression, we divide both 35.78 and 6 by 2.4, which gives us 14.908 and 2.5. The expression becomes 14.908 ÷ 2.5, which can be calculated easily. The answer can be written back in decimal form by dividing 14.908 by 2.5 and then multiplying by 2.4.

In each of these three expressions, the result is equivalent to 35.78 ÷ 6 without using the dividing power of 10. The dividing power of 10 is a helpful tool in mathematics, but it is not always necessary to use it in order to solve a division problem.

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The populations of interest are the 30 patients in the treatment group and the 30 patients in the control group. The parameter of interest is the pulse rate at a critical point during the operation

a. Identify the populations and parameters of interest. Then state hypotheses.

The populations of interest are the 30 patients in the treatment group and the 30 patients in the control group. The parameter of interest is the pulse rate at a critical point during the operation. The null hypothesis is that beta-blockers do not reduce the pulse rate, while the alternative hypothesis is that beta-blockers do reduce the pulse rate.

b. State and verify conditions for carrying out a significance test.

The conditions for carrying out a significance test are that the data must be sampled randomly, the samples must be independent, the data must be normally distributed, and the sample sizes must be equal. The data in this study was randomly sampled, the samples are independent, and the sample sizes are both 30. However, we cannot assume that the data is normally distributed without testing.

c. Calculate the test statistic and the P-value.

The test statistic is calculated using the formula t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2), where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes. In this case, t = (65.2 - 70.3) / sqrt(7.8^2/30 + 8.3^2/30) = -5.45. The P-value is calculated by finding the probability of obtaining a result at least as extreme as the observed one if the null hypothesis is true. In this case, the P-value is 0.000003.

The populations of interest are the 30 patients in the treatment group and the 30 patients in the control group. The parameter of interest is the pulse rate at a critical point during the operation

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The probability is  [tex]\frac{17}{27}[/tex] that one or more of the children is a carrier is the same as the sum of all probabilities minus the probability that none of the children is a carrier.

Two parents who are each known to be carriers of an autosomal recessive allele have four children. None of the children has the recessive condition.

Parents : Aa × Aa

Gametes:   A a

A               AA     Aa

a               Aa aa (affected)

Probability of normal carriers = [tex]\frac{2}{3}[/tex]

Probability of normal non carriers = [tex]\frac{1}{3}[/tex]

(Because 3 individuals are normal)

Probability that one or more children are carriers =

(One is carrier × 3 are non carriers) + (2 carriers × 2 non carriers) + (3 carriers × 1 non carrier) + (4 carriers)

= ([tex]\frac{2}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × 1/3) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex])

[tex]=\frac{2}{81}+\frac{4}{81}+\frac{8}{81}+\frac{16}{81} =\frac{10}{27}[/tex]

[tex]=1-\frac{10}{27} \\[/tex]

[tex]=\frac{27-10}{27} =\frac{17}{27}[/tex]

Therefore, the probability is [tex]\frac{17}{27}[/tex]

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The amount compounded after 16 years is $641.88. Therefore, option D is the correct answer.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal =$400, time period = 16 years and the rate of interest = 3%.

Here, Amount =400(1+3/100)¹⁶

= 400(1.03)¹⁶

= 400×1.605

= $641.88

Therefore, option D is the correct answer.

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Answer:

The equation that explains the relationship between AB and A”B” is AB = 2A”B”. This equation is based on the transformation of a triangle ABC into a triangle A”B”C” using the translation (x+2, y+0) and the dilation by a scale factor of 2 from the origin. The translation does not affect the length of AB, but the dilation doubles it, so AB = 2A”B”.

The probability of drawing a total of 3 orange balls and 2 green balls = 5/2(0.6)sqaure*(1-0.6)cube

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

here we will use binomial distribution formuale

p(x)= (n/x) px.qn-x

where , p = probability of success in a single trail

q = 1-p probability of failure in one trail

n = total number of trail or number of total sample

x= number of success desired

now total number of ball contain =5

and let define probability of success is drawing 2 green ball

so probability of drawing a green ball (p) =3/5

=0.6

and we need this favouable results 2 times

so x = 2

and q = 1- p = (1-0.6)

so putting value of p, q ,x,m,n above formula we get

(n/x) px.qn-x

5/2(0.6)sqaure*(1-0.6)cube

The possibility of getting all three orange balls and two green balls in a row

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We can use the distributive property to expand the left side of the equation, which will give us YZ + XY.

Property is a term used to describe an individual's ownership of something tangible or intangible. Property can include real estate, such as a house or land, or personal property, such as furniture, vehicles, and jewelry. Property can also include intangible items such as copyrights, patents, trademarks, and trade secrets. When property is owned, it is the responsibility of the owner to protect it from damage, destruction, theft, or other losses.

We can then use the given equation to substitute WX for YZ on the right side, which will give us WY. Therefore, YZ + XY = WY.

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Answer: a number alexa has a number

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

G = 11  + 2w   <===== 11 passed + 2 more per week

P = 8 + 5w     <====== 8 passed and 5 more per week

  When are they equal ?

     Equate   G and P equations:

  11+ 2w = 8 + 5w

   3 = 3w

    w =1     after ONE week they will have the same  G = 13 = P

The relative frequency of class D is 0.35.

The number of times an event occurs is called a frequency. Relative frequency is an experimental one, but not a theoretical one. Since it is an experimental one, it is possible to obtain different relative frequencies when we repeat the experiments.

The ratio of the number of times a value of the data occurs in the set of all outcomes to the number of all outcomes gives the value of relative frequency.

Consider the given partial relative frequency distribution.

  Class            Relative frequency

    A                         0.22

    B                         0.18

    C                         0.43

    D                            

Then,

We need to find the relative frequency of class D

We know that,

Sum of relative frequency is equal to one.

that is.

[tex]$0.22+0.18+0.25+$[/tex] relative frequency of class D=1

0.65 + relative frequency of class [tex]$\mathrm{D}=1$[/tex]

relative frequency of class D=1-0.65

=0.35

We get,

Relative frequency of class D Is 0.35

Therefore, the relative frequency of class D is 0.35

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Answer:

The equation that describes the relationship between the distance below ground and the time for the drone's descent is: Distance = -250m - 500m(Time-1).

The slope intercept forms of the values are: 1) y--10x -3 (2) y7x+5 (3) y =9/5-4 (4) -5x/4 +5

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope,

The slope-intercept forms of the values are

1) y--10x -3

2) y7x+5

3) y-9/5-4

4) -5x/4 +5

5) Slope is determined by:

a) (7+6)/(-11-17) =13/-18

b) (-5-4) / (-4-3) = -9/-7 = 9/7

c) (15-14) / (11+20) = 1/31

d) (-7+18) / (-1-11) =11/-12

The slopes of the equations are 1) y=2/3x -2 The slope is 2/3

2) y = 9/5x -5 = The slope is 9/5

3) y = -1/2x -2 the slope is -1/2

4) y = -x -1:  the slope is -1

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