if all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?
A The new volume is 2 times the old volume.
B. The new volume is 4 times the old volume.
c. The new volume is 8 times the old volume.
D. The new volume is 9 times the old volume

Answer:

72 hot chocolates

Step-by-step explanation:

2h + 3g=306 equation 1 h=hot chocolate g=Gatorade

h + g =126. equation 2

h=126-g isolate h in equation 2

2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1

252-2g+3g=306

g=54

solve for h:

h + g = 126

h+54=126

h=72

check answer:

2h + 3g=306

2(72) +3(54)=306

144+162=306

306=306

Answer:

1

Step-by-step explanation:

The multiplicative rate of change of the function will be 2/3. Then the correct option is B.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as,

y = a(b)ˣ

At (1, 6), then we have

6 = a(b)¹

6 = ab             ...1

At (2, 4), then we have

4 = a(b)²

4 = ab             ...2

Divide equation 2 by equation 1, then we have

ab² / ab = 4 / 6

b = 2 / 3

The multiplicative rate of change of the function will be 2/3. Then the correct option is B.

More about the exponent link is given below.

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Answer:

Diameter = 8 ft

Step-by-step explanation:

To find diameter, we need to work backwards from the formula for circumference of a circle.

Circumference = 2πr

given that π = 3.14

Circumference = 2*3.14*r

25.12 = 2*3.14*r

25.12 = 6.28 * r

4 = r

Radius = 4

Formula for Diameter =

D = 2r

D = 2*4

D = 8

Diameter = 8

Lets Check

Circumference = 2 * 3.14 * 4

Circumference = 25.12

Correct

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Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

Answer:

36 pie cubic inches

Step-by-step explanation:

Use the formula: [tex]V = \frac{4}{3} \pi r^{3}[/tex]

Plug in the value for radius and solve:

[tex]V = \frac{4}{3} \pi 3^{3}[/tex]

Becuase of the nature of the answer options, you only have to solve to a certain point: [tex]V = 36 \pi[/tex]

Answer:

x = 3; y = 8

Step-by-step explanation:

Sides KI and KE are congruent.

4x = 12

x = 3

Sides IT and ET are congruent.

3y - 4 = 20

3y = 24

y = 8

Answer: x = 3; y = 8

Answer:

B

Step-by-step explanation:

Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.

Answer:

the answer to the question is A

Answer:

128.08 in^2

Step-by-step explanation:

A=1/2 ab SinC

=1/2×11×24×Sin 76

The area of given triangle is 128.1 square inches.

The area of a SAS triangle is the total amount of space it encloses in a 2-dimensional plane. "SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.

The formula to calculate the area of a triangle using SAS is given as,

1. When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)

2. When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)

3. When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)

Given

a = 24 inches

b = 11 inches

∠C=76°.

Area of SAS triangle = [tex]\frac{1}{2} absinc[/tex]

Area = [tex]\frac{1}{2}(24)(11)sin76^{0}[/tex]

Area = 128.079 ≅ 128.1 (nearest  tenth)

Hence, the area of given triangle is 128.1 square inches.

Find out more information about area of SAS triangle here

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Answer:

$51.00

Step-by-step explanation:

One bag price multiply it number of price bag wanted $17.00 × 3 =$51.00

Answer:

6

Step-by-step explanation:

I Just answered the question on my test

Answer:

6

Step-by-step explanation:

Answer:

There would be 6 gallons.

Step-by-step explanation:

Within a gallon, there are 8 pints. With this in mind, create a ratio of gallons to pints to solve the problem

Gallons : Pints

1 : 8

If we were to have 48 pints, there would therefore be 6 gallons, as 48/6 --> 8

Gallons : Pints

6 : 48

Answer:

Angle COD=40

Step-by-step explanation:

(2a+62)+ (54-a)+(5a-20)=180

6a+96=180

6a=84

a=14

Angle AOC=2(14)+62=90

Angle COD=54-14=40

Angle DOB=5(14)-20=50

Answer:

Angle COD, 40 degrees

Step-by-step explanation:

Alrighty, to start, Angle AOB is a 180 degree angle because it is a line.

Therefore, if we combine all of the variables and numbers together, we can set it equal to 180 degrees to find a.

2a+62+54-a+5a-20

6a+96=180

6a=84

a=14

Next, plug in this value into each of the given angles provided with variables and numbers:

Angle AOB:

2a+62

2(14)+62

28+62

90 degrees

Angle COD:

54-a

54-14

40 degrees

Angle DOB:

5a-20

5(14)-20

70-20

50 degrees

From this, it can be found that Angle COD has the smallest angle, with it being 40 degrees.

Answer:

[tex]the \: forth \: answer \: is \: correct \: answer[/tex]

Answer: 2.5 ft

Step-by-step explanation: Add 1 1/4 + 1 1/4  =  2.5

Subtract 2.5 ft from 10 ft = 7.5 ft  divided by 3 places = 2.5 ft

To check answer: 2.5ft + 2.5ft + 2.5ft + 1 1/4ft + 1 1/4ft = 10 ft

The distance between the two identically sized posters should be 2,5 ft at all three places.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

Let x be the distance between the two identically sized posters.

Add 1 1/4 + 1 1/4  =  2.5

The total length of the given wall is 10 ft.

here, the equation formed as

x + x +x + 2.5 = 10

3x + 2.5 = 10

3x = 10 - 2.5

3x = 7.5

x = 2.5

So, The distance between the two identically sized posters should be 2,5 ft at all three places.

Learn more about linear equations;

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Given:

The function is:

[tex]y=(f(x))^2[/tex]

To find:

The derivative of the given function at x=1, i.e., y'(1).

Solution:

Chain rule of differentiation:

[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]

We have,

[tex]y=(f(x))^2[/tex]

Differentiate with respect to x.

[tex]y'(x)=2(f(x))\dfrac{d}{dx}f(x)[/tex]

[tex]y'(x)=2f(x)f'(x)[/tex]

Putting [tex]x=1[/tex], we get

[tex]y'(1)=2f(1)f'(1)[/tex]

From the given table of values it is clear that f(1)=3 and f'(1)=3. Putting these values in the above equation, we get

[tex]y'(1)=2(3)(3)[/tex]

[tex]y'(1)=18[/tex]

Therefore, the value of y'(1) is 18.

Answer:

Umm why don't you write the question properly first?

Answer: m=1/8h

Step-by-step explanation:

When writing a linear equation, the slope is always rise over run. When it rises (goes up) 1, it runs (goes to the side 8. So the slope is 1/8. There is no y intercept because the line passes through (0, 0). The equation is m= because the amount of money earned equals 1/8h.

Answer:

domain: {x ≠ 0}

Step-by-step explanation:

By solving for x you get x=6

Answer:

x = 6

Step-by-step explanation:

12x = 72

72/12 = 6

x = 6

Answer:

I think (b.)154.5cm²is the answer

The answer is 31

Step-by-step explanation:

A = 1/2 bh

279= 1/2b x 18

558 = 18b we divided both side by 18

b=31

9514 1404 393

Answer:

Step-by-step explanation:

The measure of an arc of a circle is the same as the measure of the central angle it subtends. That is, arc RS has the same measure as central angle RPS, which is marked as 100°.

Of course, the total of all central angles, hence all arcs, of a circle is 360°. A diameter of a circle cuts the circle in half, so each semicircle has a central angle measure and arc measure of 180°.

Any arc that is more than a semicircle is called a "major" arc. If it is less than a semicircle, it is a "minor" arc. Arcs RS and ST are minor arcs.

As always in geometry, the whole is the sum of the parts, so arcs RS and ST are supplementary. They total the measure of semicircle RST, which is 180°. Then ST = 180° -RS = 180° -100° = 80°.

__

Additional comment

Usually, an arc identified only by its end points is a minor arc. If the major arc is intended, then it will either be described as "major arc RS" or a point on the major arc will be given, as "arc RTS". The measure of arc RTS is 280°.

Answer:

Present age of Juna = 10 years

Present age of Jubin = 16 years

Step-by-step explanation:

Ratio of present ages = 5: 8

Let the present ages of:

Juna be 5x years and Jubin be 8x years

(where x is the common multiplier of the given ratios)

Four years after:

Juna's age = (5x + 4) years

Jubin's age = (8x + 4) years

According to the question:

(5x + 4) + (8x + 4) = 34

13x + 8 = 34

13x = 34 - 8

13x = 26

x = 26/13

x = 2

5x = 5*2 = 10 years

8x = 8*2 = 16 years

Hence,

Present age of Juna = 10 years

Present age of Jubin = 16 years

Answer:

x=3

Step-by-step explanation:

This is a vertical line.

Vertical lines are of the form x=  since the x value does not change

x=3

Answer:

Step-by-step explanation: