he radius of a circle is tripled. Which of the following describes the effect of this change on the area? The area is multiplied by 1/9 . The area is multiplied by 9. The area is multiplied by 3. The area is multiplied by 1/3.

The solution of the inequality means p = { range of values greater than $175 up until $400 }

We need to write and solve an inequality to find the prices p of coats that the shopper can afford.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that the value of price, p of coats the shopper can afford is greater than $175.

p > 175 can be translated as 175 < p

The shopper has $400 to spend on a winter coat such, p ≤ $400 .

The two inequalities can therefore be combined to yield a single inequality thus;

175 < p ≤ $400

The solution for prices of coat, p that the shopper can afford ranges between;

p = { range of values greater than $175 up until $400 }

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The matching of equations with their characteristic is as shown:

a) Neither parallel nor perpendicular lines

b)  these are perpendicular lines

c) these are parallel lines

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Rewrite the equations that need to be in y=mx+b form, then compare the slopes ( m values )

a) y= -4x +5 , y=(-1/4)x - 6

Neither parallel nor perpendicular lines

b)  y=3x+5 , y= (-1/3)x - 7

The slopes are m and -1/m , these are perpendicular lines

c)  The slopes are equal

So, these are parallel lines

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The bond which has the most ionic character among the given answer choices as required is; Choice B; Li-F.

By definition, an ionic bond is one in which case, the bond is formed from the combination of highly electronegative and highly electropositive elements.

On this note, since the Lithium atom is the most electropositive metal and the Flourine ion is the most electropositive nonmetal, it follows that the bond which has the most ionic character is; Choice B; Li-F.

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Answer:

n=0.2(6x+12y-5mx)/my

Step-by-step explanation:

If Joe can only reserve rooms in blocks, and each block contains 8 rooms and costs $900 , then inequality describes this scenario is (b) 16 + 8B ≥ 50  .

the number of rooms that Joe has already reserved = 16 rooms  ;

the number of additional blocks that Joe reserved is = 8 blocks

they need at least 50  total rooms , which  means that the total number of rooms that Joe has reserved, including the blocks he needs to reserve.

The expression "16 + 8B" represents the total number of rooms that Joe has reserved, as he has already reserved 16 rooms and each block contains 8 rooms.

Therefore, The inequality represents the constraint that Joe must meet in order to ensure that the company has enough rooms for the trip is 16 + 8B ≥ 50  .

Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50  total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms.

He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900 , "B" represent the number of additional blocks that Joe reserves

Which inequality describes this scenario?

(a) 16 + 8B ≤ 50

(b) 16 + 8B ≥ 50

(c) 16 + B ≤ 50

(d) 16 + B ≥ 50

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Answer:

$32,648

Step-by-step explanation:

1-  find 12% of 37,100         ( 37,100x12= 445,200  445,200/100= $4452)

2-  37,100- 4452= $32,648

(im not sure if its correct

https://brainly.com/question/25317034Assuming t is the number of hours since noon, a slope equation for the temperature, D, in terms of t is 80 ± 10t.

The slope refers to the change in y value resulting from a change in x.

The slope is also described as the quotient of the rise and run.

The slope refers to the rate of change along the regression line.

Temperature at noon = 80 degrees

High temperature during the day = 90 degrees

Increase in temperature from noon = 10 degrees (90 - 80)

Low temperature during the day = 70 degrees

Decrease in temperature from noon = -10 degrees (70 - 80)

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Answer:

width = 4.2 units

Step-by-step explanation:

Easy, if the length is 65 units

65 * width = 273

width = 273 / 65

width = 4.2

the answer is 4.2

if you have the lenght and area just divided both in the equation and then you will have the answer

Answer:i don't know maybe C

The coefficient in the expression is 5.

A coefficient is a numerical value that is multiplied by a variable in an algebraic expression.

In a polynomial expression, coefficients can be the numbers in front of the variables. The coefficient determines the size and direction of the variable's effect on the expression as a whole. For example, in the expression 2x, the coefficient is 2.

Therefore, the coefficient in the expression 10 – 6 + 5n is 5.

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Answer: 5

Step-by-step explanation:

The probability that the selected joint was judged to be defective by inspector B but not by inspector A is 0.0695.

A. i. The probability that the selected joint was judged to be defective by Inspector A is 734/10000 = 0.0734.

ii. The probability that the selected joint was judged to be defective by Inspector B is 742/10000 = 0.0742.

iii. The probability that the selected joint was judged to be defective by Inspector A or B is 954/10000 = 0.0954.

iv. The probability that the selected joint was judged to be defective by both Inspectors A and B is the intersection of their judgments, which can be found by subtracting the defective joints found only by one inspector from the total defective joints found by both inspectors. The probability is (954 - (734 - 742))/10000 = 0.0478.

B. The probability that the selected joint was judged to be defective by neither of the two inspectors is (10000 - 954)/10000 = 0.9046.

C. The probability that the selected joint was judged to be defective by Inspector B but not by Inspector A is 742 - 0.0478 = 695/10000 = 0.0695.

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[tex]\stackrel{f(x)}{500(0.97)^x}~~ = ~~\stackrel{g(x)}{20(1.03)^x}\implies \cfrac{500(0.97)^x}{20}=1.03^x\implies 25(0.97)^x=1.03^x \\\\\\ \cfrac{25(0.97)^x}{1.03^x}=1\implies \cfrac{0.97^x}{1.03^x}=\cfrac{1}{25}\implies \left( \cfrac{0.97}{1.03} \right)^x=\cfrac{1}{25}[/tex]

[tex]\log\left[ \left( \cfrac{0.97}{1.03} \right)^x \right]=\log\left( \cfrac{1}{25} \right)\implies x\log\left( \cfrac{0.97}{1.03} \right)=\log\left( \cfrac{1}{25} \right) \\\\\\ x=\cfrac{\log\left( \frac{1}{25} \right)}{\log\left( \frac{0.97}{1.03} \right)}\implies \boxed{x\approx 54}[/tex]

Answer: $81.92

Step-by-step explanation:

First you must convert the 45% to a decimal.

0.45

You must multiply 0.45 by the total cost and then subtract what you get.

Answer:

The power set of a set B = {a, b, c, d, e, f, g} is the set of all possible subsets of B.

In mathematical notation, the power set of B is represented as P(B).

The number of elements in the power set of B is 2^n, where n is the number of elements in B. In this case, n = 7, so the number of elements in P(B) = 2^7 = 128.

The power set of B is:

{{}, {a}, {b}, {c}, {d}, {e}, {f}, {g}, {a, b}, {a, c}, {a, d}, {a, e}, {a, f}, {a, g}, {b, c}, {b, d}, {b, e}, {b, f}, {b, g}, {c, d}, {c, e}, {c, f}, {c, g}, {d, e}, {d, f}, {d, g}, {e, f}, {e, g}, {f, g}, {a, b, c}, {a, b, d}, {a, b, e}, {a, b, f}, {a, b, g}, {a, c, d}, {a, c, e}, {a, c, f}, {a, c, g}, {a, d, e}, {a, d, f}, {a, d, g}, {a, e, f}, {a, e, g}, {a, f, g}, {b, c, d}, {b, c, e}, {b, c, f}, {b, c, g}, {b, d, e}, {b, d, f}, {b, d, g}, {b, e, f}, {b, e, g}, {c, d, e}, {c, d, f}, {c, d, g}, {c, e, f}, {c, e, g}, {d, e, f}, {d, e, g}, {e, f, g}, {a, b, c, d}, {a, b, c, e}, {a, b, c, f}, {a, b, c, g}, {a, b, d, e}, {a, b, d, f}, {a, b, d, g}, {a, b, e, f}, {a, b, e, g}, {a, c, d, e}, {a, c, d, f}, {a, c, d, g}, {a, c, e, f}, {a, c, e, g}, {a, d, e, f}, {a, d, e, g}, {b, c, d, e}, {b, c, d, f}, {b, c, d, g}, {b, c, e, f}, {b, c, e, g}, {b, d, e, f}, {b, d, e, g}, {c, d, e, f}, {c, d, e, g}, {a, b, c, d, e}, {a, b, c, d, f}, {a, b, c, d, g}, {a, b, c, e, f}, {a, b, c, e, g}, {a, b, d, e, f}, {a, b, d, e, g}, {a, c, d, e, f}, {a, c, d, e, g}, {b, c, d, e, f}, {b, c, d, e, g}, {a, b, c, d, e, f}, {a, b, c, d, e, g}​,{a, b, c, d, f, g}​,{a, b, c, e, f, g}​,{a, b, d, e, f, g}​,{a, c, d, e, f, g}​,{b, c, d, e, f, g}​,{a, b, c, d, e, f, g}​}

The percent of change from 400 to 600 is 33.34%.

What is Percentage Increase?

It is given that the percent of change is from 400 to 600.

There is an increase from 400 to 600, so the percent of change is an increase.

[tex]\% \text Increase = \frac{\text FV - IV}{FV} \times 100[/tex]

Here, the final value (FV) = 600 and initial value (IV) = 400.

Substituting the given values in the above formula, we get

[tex]\% \text Increase = \frac{600-400}{600} \times 100\\\implies \% \text Increase = \frac{200}{600} \times 100\\\implies \% \text Increase = 33.34 \%[/tex]

Therefore, the percent of change from 400 to 600 is 33.34%.

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The algebraic equation of the total area of all of the pieces is 4x + 6y + 6x² + 2xy + y².

What is the linear equation?

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.

We have given,

Collection of tiles of the same dimensions.

x,  x², y,  y², and xy.

The question examines the calculation,

Total Area = 1* x * 4 + 1 * y * 6 + x * x * 6 + x * y * 2 + y * y *1

= 4x + 6y + 6x² + 2xy + y²

Area =  4x + 6y + 6x² + 2xy + y².

Therefore, The algebraic equation of the total area of all of the pieces is 4x + 6y + 6x² + 2xy + y².

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There are two different combinations, these are:

We will use the variables:

x = number of 5¢ stamps used.

y = number of 3¢ stamps used.

z = number of 2¢ stamps used.

We can write this:

x*5 + y*3 + z*2 + 44 = 62

5x + 3y + 2z = 62 - 44

5x + 3y + 2z = 8

There are two ways in which we can do that, these are:

x = 1

y = 1

z = 0

5*1 + 3*y + 2*0 = 8

8 = 8

The other solution is:

x = 0

y = 0

z = 4

5*0 + 3*0 + 2*4 = 8

8 = 8

So there are two different ways.

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Answer:

Solve for p:

p = q + z

Solve for v:

v = (p - q - z) / m

Step-by-step explanation:

You provided an algebraic equation with multiple variables: p, m, v, x, q, and z. To solve for a specific variable, we need to isolate that variable on one side of the equation and all the other variables on the other.

To solve for p:

p = mv + x = q + z

The variable "p" is already on one side of the equation, so we don't need to do anything else.

To solve for v:

v = (p - q - z) / m

We need to isolate v on one side. Therefore we can subtract q and z from both sides to obtain the equation v = (p - q - z) / m, where v is the isolated variable on one side of the equation, and all the other variables are on the other side.

The exact value of trigonometric function is ,

sin(60°+45°)= [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]

cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex] = [tex]\frac{\sqrt2+\sqrt6}{4}[/tex].

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here the given is

a) sin(60°+45°)

Now using formula sin(t+s)= sin t cos s+ cos t sin s then

=> sin60°cos45°+cos 45°sin60°

=> [tex]\frac{\sqrt3}{2}\times\frac{\sqrt2}{2}+\frac{1}{2}\times\frac{\sqrt2}{2}[/tex]

=> [tex]\frac{\sqrt6}{4}+\frac{\sqrt2}{4}[/tex]

=> [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]

b) cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex]

Now using formula cos(t-s)=cos t cos s + sin t sin s then

=> [tex]cos\frac{\pi}{3} cos\frac{\pi}{4}+ sin\frac{\pi}{3}sin\frac{\pi}{4}[/tex]

=> [tex]\frac{1}{2}\times\frac{\sqrt2}{2}+\frac{\sqrt3}{2}\times\frac{\sqrt2}{2}[/tex]

=> [tex]\frac{\sqrt2}{4}+\frac{\sqrt6}{4}[/tex]

=> [tex]\frac{\sqrt2+\sqrt6}{4}[/tex]

Hence the exact value of trigonometric function is ,

sin(60°+45°)= [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]

cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex] = [tex]\frac{\sqrt2+\sqrt6}{4}[/tex].

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Answer:

A) The independent variable is the number of books (b) and the dependent variable is the total amount paid in fees (t).

Step-by-step explanation:

B) The input/output table for this function would be as follows:

b t

1 9

2 13

3 17

4 21

5 25

So some of the ordered pairs of the function are (1, 9), (2, 13), (3, 17), (4, 21) and (5, 25)

C) The domain of the function is discrete because it only includes specific values of b, the number of books. This is the only possible values of b are the natural numbers.

D) The domain of the function is all natural numbers b>=1, since it doesn't make sense for the number of books to be negative or zero. The range of the function is all natural numbers t>=5, since it doesn't make sense for the total amount paid to be negative or zero.

The only graph that has a function referred to as  many-to-one function  is; Graph A

A many-to-one function is defined as a function that have y-values associated to more than one x-value.

Graphically speaking, if a horizontal line is drawn through the graph, such horizontal line would cross the graph at least twice.

In the graphs, we can see that A is a parabola, and that if a horizontal line is drawn above y = 0, the line will go through the parabola twice. For example, in y = 10 it will cross the parabola at the point (-3, 10) and (3, 10). Therefore, this is a many-to-one graph.

The second graph is a one-to-one graph since there is only one y-value associated to each x-value.

The third graph is not even a function because by definition of function, each element of x should be associated with ONE element of y. In this case, x= 5 and x = 9 are associated to more than one y elements (the vertical lines that form two sides of the square) and therefore is not a function.

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The value of y is 28.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The water level rises 14 centimeters every 3 minutes.

This means,

14 cm = 3 minutes

This can be written as,

(3, 14)

Now,

14 cm = 3 minutes

Multiply with 2 on both sides.

2 x 14 cm = 6 minutes

28 cm = 6 minutes

This can be written as,

(6, 28)

Thus,

The y value is 28.

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Answer:

0

Step-by-step explanation:

[tex] {x3 \: - 4 {x \: }^{2} + 3x \: = 0}^{} [/tex]

solve for x

[tex]x 1 = 0 \\ x2 \: = 1 \\ x3 \: = 3[/tex]

The number of hotdogs would you have to eat every minute to beat the last winner is about 21 hotdogs per minute

The statement reads that the 95th annual hotdog eating contest consumed 207 hotdogs (and buns!) in 10 minutes.

This implies that 208/10= 20.8 hotdogs (and buns) per minute to beat the record of 207 in 10 minutes or about 21 hotdogs per minute.

(2) In two minutes, you would be able to eat 21 hotdogs times 2 = 42 hotdogs

(3)At the average rate needed to win the contest, the number of total hotdogs will you consume in three minutes is 21 hotdogs  times 3 = 63 hotdogs

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The salary after sixth year of employment will be $45918.34. The total compensation after six years are $250914.15.  

The amount raised over a period of time is given by the equation ,

Xₙ = X₀ (1+r)ⁿ

Xₙ is the final amount or number

X₀  is the initial amount or number

r is the rate

n is the number of years or period of time.

Here the annual rise is given as $1200. So we can calculate the rate.

r = 1200/36500 = 0.039

The salary rise during the sixth year, Xₙ = 36500 ×(1+0.039)⁶

                                                     = 45918.34

Total salary in all six years = 36500 + [36500×(1+0.039)¹] + [36500× (1+0.039)²] + [36500× (1+0.039)³] + [36500×( 1+0.039)⁴] +[36500×(1+0.039)⁵] + [36500× (1+0.039)⁶]

 =250914.15

So the 6th year salary is $45918.34 and total compensation for 6 years will be 250914.15.

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An equation of the lines which pass through the point of intersection of the lines and are respectively parallel and perpendicular to the line 3x + 4y = 0 are as follows;

Parallel: y = -3x + 2.

Perpendicular: y = x/3 - 4/3.

Mathematically, the point-slope form of a line is modeled by this mathematical expression:

y - y₁ = m(x - x₁)

Where:

In order to determine the point of intersection of the lines, we would use an online graphing calculator to graph the given system of equations, and this is given by the ordered pair (1, -1).

Additionally, the slope of the given equation 3x + 4y = 0 in standard form is equal to -3. In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ (m represents the slope.)

At data point (1, -1), an equation of this parallel line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-1) = -3(x - 1)

y = -3x + 3 - 1

y = -3x + 2.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-3 × m₂ = -1

m₂ = 1/3

At data point (1, -1), an equation of this perpendicular line in point-slope form is:

y - y₁ = m(x - x₁)

y - (-1) = 1/3(x - 1)

y = x/3 - 1/3 - 1

y = x/3 - 4/3.

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The distance between the points 3 and 18 is expressed as |3 - 18| and the absolute value of the expression is 15 units.

We are given two numbers 3 and 18 and we are asked to determine the distance between these two points using absolute value.

The distance between two numbers is equal to their difference and distance is always a positive quantity so the absolute value function is used over the distance to prevent a negative distance. The distance between points x and y is given by |x - y|

Put 3 and 18 in |x - y|

|x - y| = |3 - 18| = |-15|

The absolute value function is defined by |x| = x if x ≥ 0 or -x if x < 0

Here, -15 < 0. It can be concluded that |-15| = -(-15) = 15

The distance between the points 3 and 18 is expressed as |3 - 18| and the value of the expression is 15 units.

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The ordered pairs that are solutions of the given system of equations are:

(a) (0,−4)

The ordered pairs are a numerical value that occupies a specific position in the Cartesian plane, these pairs can have at least two components and these are:

P = (x, y)

First we will write the equations in a more organized way, then we will evaluate each of the pairs and validate that the equality is fulfilled.

[tex]y = -4e^{x}[/tex]

[tex]7x - y = 4[/tex]

(a) (−4,0)

y = -4e⁻⁴

y = -0.0732

Not true since the value of "x" does not make the value of "y" zero.

(b) (0,−4)

y = -4e⁰

y = -4

7(0) - y = 4

0 - y = 4

y = -4

If it complies

(c) (0,−2)

y = -4e⁰

y = -4  This pair is not a solution

(d) (−1,−3)

y = -4e⁻¹

y = -1.47    This pair is not a solution

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The reliability of each system can be calculated as follows:

(α) between A and B:

Reliability of A and B functioning together = Probability of both A and B functioning properly = 0.6 * 0.7 = 0.42

(β) between B and C:

Reliability of B and C functioning together = Probability of both B and C functioning properly = 0.7 * 0.8 = 0.56

(γ) between A and C:

Reliability of A and C functioning together = Probability of both A and C functioning properly = 0.6 * 0.8 = 0.48

Note: The calculations are based on the assumption that the components function independently and the failure of one component does not affect the functioning of another component.

The information provided is about the calculation of the reliability of different systems composed of components a, b, c, and d. The reliability is calculated based on the probability of each component functioning properly, which are given as 0.6, 0.7, 0.8, and 0.9 respectively. The reliability of each system (α between A and B, β between B and C, γ between A and C) is calculated as the product of the probabilities of the components composing the system functioning properly.

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Answer:2x+4.4=85.8

Step-by-step explanation:

pretty sure this is the answer

Gavyn doubles the number and adds 4.4 so -> 2x+4.4 and that equals to 85.8

so it's 2x+4.4=85.8

Answer:

Step-by-step explanation:

If the original number is x, then we can say:

2x+4.4=85.8

2x=85.8-4.4

2x=81.4

x=40.7

To check,

40.7*2=81.4

81.4+4.4=85.8

Hence, x is 40.7