Which is a graph of y=−2x+3 ?

The measure of angle x is 114.6°

Here, the central angle of sector of circle is represented by x.

We know that the formula for the area of sector.

A = θ/360 × πr²

where  θ is the central angle

and r is the radius of the circle

Here, the area of the sector is equal to the area of the square.

Using the formula for the area of square,

A = side²

A = r²

Since area of sector = area of square,

x/360 × πr² = r²

x = 360/π

x = 114.6°

Thus, the required angle ∠x = 114.6°

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Find the complete question below.

Answer:

need help

Step-by-step explanation:

Carla is 1.3 miles away from the home.

Given that, Carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

Here, c=√(1.5²+2²-2×1.5×2 cos40°)

c=√(2.25+4-6×0.7660)

c=√1.654

c=1.28

c=1.3 miles

Therefore, Carla is 1.3 miles away from the home.

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The maturity value at the end of 6 years is $37,098 (option a).

To calculate the maturity value of Ariana's loan, we can use the formula for compound interest. The formula for compound interest is:

A = P(1 + r/n)ⁿˣ

Where:

A = the maturity value

P = the principal amount borrowed

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

x = the length of time the loan is taken out for

In this case, Ariana borrowed $31,500 for 6 years at an interest rate of 2.9%. We know that interest is compounded annually, so n = 1. Substituting these values into the formula, we get:

A = 31,500(1 + 0.029/1)¹ˣ⁶

A = 31,500(1.029)⁶

A = 31,500(1.1945)

A = 37,098

Therefore the answer $37,098, which is answer choice (a).

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5 × 4 = 20

9 × 5 = 45

6 × 3 = 18

5 × 7 = 35

Mean = 20 + 45 + 18 + 35/4

= 118/4

= 59/2

5 1/8 = 46/8

5 1/2 = 11/2

5 6/25 = 131

5 4/11 = 59/2

Therefore The Answer is A 5 4/11.

It would be 603.2 square inches.

The solution of the triangle is shown below;

Angle A - 26.98°

Angle C - 118.6°

Side c -  47.98

If you know the length of one side and the measure of the opposite angle, or the length of two sides and the measure of the angle between them, you can use the Law of Sines to find the other parts of the triangle.

Using the sine rule;

a/Sin A = b/Sin B

aSin B = bsinA

Sin A = bSinB/a

A = Sin-1( bSinB/a)

A = Sin-1(30.9 * Sin 34.42/38.5)

A = 26.98°

Then;

C = (180 - 26.98 + 34.42)

C = 118.6°

Using the sine rule again;

b/sinB = c/Sin C

c = bSin C/Sin B

c = 30.9 * Sin 118.6/Sin 34.42

c = 27.12/0.565

c = 47.98

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The table that represents a linear function is as shown is option B and it is attached

A  linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

where

y = output variable

m = slope

x = input variable

c = y intercept

The table for a linear function has the variables in the output y increasing at a constant rate.

The only table that represents this movement is the second table having out put values of

-3, -2, -1, 0, 1

The difference here is +1

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The perimeter of the semicircle is 56.562 cm

Semicircle is when a diameter line is formed by cutting a whole circle into two halves along the diameter line. It is formed when a lining passing through the center touches the two ends on the circle.

How to determine this

To calculate this,

The perimeter of a semicircle = 2π + πr

Where π = 3.142

r = 11 cm

The perimeter of a semicircle = 2(11cm) + 3.142(11cm)

Perimeter = 22cm + 34.562cm

Perimeter = 56.562 cm

Therefore, the perimeter of the semicircle is 56.562cm

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Angle S'Q'R' is same as angle SQR which is equal to

Rigid transformation refers to a type of geometric transformation that preserves the shape and size of an object. In other words, the transformed object is congruent to the original object.

Rigid transformations can be of two types -

Translation refers to moving an object in a straight line, while rotation refers to turning an object around a fixed point.

Rotation, in particular, has the effect of changing the orientation of the object. However, the length of each side and the angles between them will remain the same.

In a rigid transformation, the position of every point in the object is changed, but the distances between points remain unchanged, as well as the angles between lines and the area of the object.

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Answer:

9 tins of cat food feed her 2 cats for 18 days

Step-by-step explanation:

Sally has 2 cats

food eaten by 1 cat each day =

food eaten by 2 cat each day=  tins

sally buys 9 tins of cat food

then

tins  required in = 1 day

1 tin required in

i.e  1 tin required in  2 days

9 tin  required  for = 9×2 = 18 days

hence ,  9 tins of cat food feed her 2 cats for 18 days

The volume of a sphere whose diameter is 18 centimeters is 972π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8 of its original volume. So, correct options are D for both blanks.

The diameter of a sphere is 18 cm, so its radius is half of the diameter, which is 9 cm. The formula for the volume of a sphere is (4/3)πr³, where r is the radius of the sphere.

Using this formula, we can calculate the volume of the sphere as follows:

V = (4/3)π(9³)

V = (4/3)π(729)

V = 972π cubic cm

Therefore, the volume of the sphere is 972π cubic cm.

Now, if the diameter of the sphere is reduced by half, the new diameter would be 9 cm, which means the new radius would be half of 9 cm, which is 4.5 cm. Using the same formula for the volume of a sphere, we can calculate the new volume of the sphere as follows:

V' = (4/3)π(4.5³)

V' = (4/3)π(91.125)

V' = 121.5π cubic cm

To find the ratio of the new volume to the original volume, we can divide the new volume by the original volume:

V'/V = (121.5π) / (972π) = 1/8

Therefore, the answer to the first part of the question is option (d) 972π cubic cm, and the answer to the second part of the question is option (d) 1/8.

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The final cost of the couch after adding the 6% sales tax is $728.75.

By dividing the cost of the  lounge by the applicable deals  duty rate, one may calculate the total  quantum of deals  duty.

Since the deals  duty rate is  generally expressed as a chance, you must divide it by 100 to get a numeric.

The decimal  fellow in this situation is0.06 since the deals  duty rate is 6.   settee cost x deals  duty rate equals deals  duty  Deals  duty is equal to687.50 multiplied by0.06.

Deals  duty equals41.25   Accordingly, the  settee is subject to a$41.25 deals  duty.   The final cost of the  lounge after the deals  duty is assessed is calculated by adding the deals  duty  quantum to the  original cost of the  settee.   settee cost plus deals  duty equals total cost

Total price is687.50+41.25

Total cost = 728.75

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Using Hamilton method for apportioning, the total artists will be 200.

Using Hamilton method for apportioning :

total artists = 94+51+55 = 200

booths = 39

booths for group = (artists in group) / (total artists / no. of booths)

= (artists in group) / (200/39)

booths for painters = (94) / (200/39) = 18.33

= 18 {rounded to nearest integer}

booths for sculptors = (51) / (200/39) = 9.945

= 10 {rounded to nearest integer}

booths for weavers = (55) / (200/39) = 10.725

= 11 {rounded to nearest integer}

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The surface area of the triangular prism is  17.6 ft.

The prism is a triangular prism. The surface area of the prism can be found as follows:

surface area of the prism = (a + b + c)l + bh

where

Therefore,

surface area of the prism = (2 + 1 + 2.2)3 + 1 × 2

surface area of the prism = 15.6 + 2

surface area of the prism = 17.6 ft

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The measure of the angle ∠P is given by the law of sines and ∠P = 46°

Given data ,

Let the triangle be represented as ΔMNP

Now , the measure of side MP = 46

The measure of side MN = 34

And , the measure of ∠MNP = 78°

Now , from the law of sines , we get

So , a / sin A = b / sin B = c / sin C

On simplifying , we get

34 / sin P = 46 / sin 78°

Multiply by sin P on both sides , we get

sin P ( 46 / 0.97814760073 ) = 34

sin P = 0.72297866

Taking inverse on both sides , we get

sin⁻¹ ( 0.72297866 ) = 46.30°

Hence , the measure of angle is P = 46°

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The correct answer is A. 95% of samples will produce a confidence interval that captures the true proportion.

The question stated that - statements correctly interprets what it means to be "95% confident".
The statement-  A. 95% of samples will produce a confidence interval that captures the true proportion.

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An equation to determine p is 12 = 3p/4

The total number of players at the baseball game is 16.

We have the information:

In all the players,  12 choose a bottle of water, which was 3/4 of the total number of players.

We have to find the:

Write and solve an equation to determine p, the total number of players at the baseball game.

Total number of players = p

Out of 12 total player 12 choose a bottle of water which is  of the total number of players and hence the equation will be:

12 = 3/4 of p

12 = 3p/4

By cross multiplication:

48 = 3p

Solve the value of p :

p = 48/3

p = 16

Therefore, the total number of players at the baseball game is 16.

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The value of z as shown in the pair of similar traingles is 15 in.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

To calculate the value of z, we use the formula of similar triangle below

Note: ΔQWX is similar to triangle QRS

Formula:

From the diagram question below,

Given:

Substitute these values into equation 1 and solve for z

Hence the value of z is 15 in.

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The rectangles that have an area of 72 m² are: The first and third rectangles

The formula for the area of a rectangle is:

A = l * w

where:

l is length

w is width

For the first rectangle dimensions, the area is:

Area = 9 * 8

Area = 72 m²

For the second rectangle, the area is:

Area = 10 * 7

= 70 m²

For the third rectangle, the area is:

Area = 12 * 6

Area = 72 m²

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The formula for the volume of a cube whose edge length is E is:

V = E³

We know that for all rectangular prisms, the volume is equal to the product between the 3 dimensions.

The cube is a type of rectangular prism where all the dimensions have the same measure, which is the edge length that we can write as E.

Then the volume V of the cube, which is the product of the 3 dimensions, can be written as:

V = E*E*E

We can simplify that as:

V = E³

That is the formula for the volume.

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Answer:

Possibly A

Step-by-step explanation:

Answer:

76.93

Step-by-step explanation:

Answer: 35 cm^2

Step-by-step explanation:

The area of a triangle is found by base * height divided by 2.

Base = 10

Height = 7

So, plug those values into the equation and you get:

10*7/2 = 35

Essentially, the formula for the area of a triangle is just dividing the formula for the area of a rectangle by 2, because two triangles make up one rectangle.

Answer:

Step-by-step explanation:

We are given with a triangle whose Height is 7 cm and base is 10 cm.

We have to calculate the Area of triangle.

As we know that area of triangle is calculated by,

Area = ½ × base × height

Putting the required values we get,

Area = 1/2 × 7 × 10

Area = 7 × 5

Area = 35 cm².

Hence, The area of the triangle is 35 cm².

Regarding resolving the given issue, we have Total equation  cost = 225 + 80*4 = 545 This is less than the $970 she will have in total ($410 + $560).

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

A) Let's start by figuring out the DJ's total cost. Kat will pay $80 per hour, so if she hires him for X hours, she will spend 80*X dollars. When the venue fee is added, the party's whole cost is:

Cost overall = 225 + 80*X

With the money she has saved and the money she will make, Kat can afford to pay the party's entire cost, which is the sum of the DJ and venue costs. In order to express the potential number of hours Kat will be able to afford to pay the DJ for the party, we may construct the following compound inequality:

225 + 80*X ≤ 410 + 560

80*X ≤ 795

X ≤ 9.9375

The compound inequality is as a result:

0 ≤ X ≤ 9.9375

B) Based on Part A, we know that Kat has the money to hire the DJ for 0 to 9.9375 hours. Kat could be able to pay the DJ for four hours, considering that:

Total cost = 225 + 80*4 = 545

This is less than the $970 she will have in total ($410 + $560).

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The values of the expressions after multiplication are given below

17 ×82 = 1600

54×671=35000

207×643=260000

First, round each number to one significant digit (the first digit).

Then multiply them.

a) 17   --> rounds to 20

82   --> rounds to 80

20 x 80 = 2 x 8 with two zeros

Value is  1600

b) 54   --> rounds to 50

671   --> rounds to 700

50 x 700 = 5 x 7 with three zeros

= 35000

c) 207   --> rounds to 200

643   --> rounds to 600

200 x 600 = 2 x 6 with four zeros

= 120000

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By rounding to 1 significant figure, estimate the answers to these questions:

a) 17x82

b) 54 x 671

c) 207 x 643​

The simplification of the expression −10x - 7x⁴ in the reduced factor form is equal to -1x ( 10 + 7x³ ).

The expression is equal to,

−10x - 7x⁴

From both the terms of the given expression '-1' is the common factor we get,

−10x - 7x⁴

= ( -1 ) ( 10x + 7x⁴ )

Now take variable 'x' common from both the terms of the expressions we get,

= ( -1 × x  ) ( 10 + 7x³ )

= -1x ( 10 + 7x³ )

Now nothing is act as common factor in the given expression we have,

Therefore, the simplified factor of the expression −10x - 7x⁴ is equal to -1x ( 10 + 7x³ ).

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The above question is incomplete, the complete question is:

Factor the expression completely.

−10x - 7x⁴

Answer:

2

Step-by-step explanation:

10/ 5 = 2

15 / 5 = 3

2/3

Answer:   2

Step-by-step explanation:

If you do 3+3+3+3+3 it is 15 and then you did it 5 times so you could do 10 divided by 5 to get 2.so2 is your answer.

The proportional segment lengths that calculate the lengths is 7.5/6 = 11.25/9

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

The triangles

The triangles are similar triangles

So, we have

HK/KJ = LM/MN

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

7.5/6 = 11.25/9

Hence, the proportion is 7.5/6 = 11.25/9

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Answer:

Step-by-step explanation:

Formula for the volume of a cone:

((r^2)(height)(pi)) / 3

Since we are finding the answer in terms of pi, we will use the pi symbol.

The radius is 18.

The height is 30.

18^2 is 324.

324 x 30 is 9720.

9720 / 3 is 3240.

Answer : 3240 pi.