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2 years ago

10

The volume of a cube is given by v=x^3 where x is the length of an edge find the rate at which the volume is changing with respe

ct to x when x=10

1 answer:

IceJOKER [234]2 years ago

3 0

The volume (when x = 10) would be 1,000 cubic units (10^3).

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WXY is an isosceles triangle with line WX congruent to line WY. if WX is 3 more than four times x, XY is 7 less than five times

iragen [17]

WX = WY
4x+3 = 7x-66
3x = 69
x = 23
WX = 95 = WY
XY = 5*23-7 = 108

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2 years ago

one day, the state fair total attaendance was 126,945. Round to the nearest hundred thousand, nearest ten thousand and nearest t

mylen [45]

Nearest hundred thousand: 100,000

Nearest ten thousand: 130,000

Nearest thousand: 127,000

The closest rounded amount to the actual attendance is the nearest thousand, 127,000.

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2 years ago

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On a coordinate plane, triangle A B C is shown. Point A is at (3, 4), point B is at (negative 5, negative 2), and point C is at

hodyreva [135]

Answer:

The perimeter of Δ ABC is 20 + 2 $\sqrt{10}$ units ⇒ Last answer

Step-by-step explanation:

The perimeter of any triangle is the sum of the lengths of its three sides

The formula of distance between two points is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

In Δ ABC

∵ A = (3 , 4) , B = (-5 , -2) , C = (5 , -2)

∵ AB = 10 units

∵ AC = 2 $\sqrt{10}$

- To find its perimeter find the length of BC

∵ $x_{1}$ = -5 and $y_{1}$ = -2

∵ $x_{2}$ = 5 and $y_{2}$ = -2

- By using the formula above

∴ $BC=\sqrt{(5--5)^{2}+(-2--2)^{2}}=\sqrt{(5+5)^{2}+(-2+2)^{2}}$

∴ $BC=\sqrt{(10)^{2}+(0)^{2}}=\sqrt{100}$

∴ BC = 10 units

To find the perimeter add the lengths of the three sides

∵ P = AB + BC + AC

∴ P = 10 + 10 + 2 $\sqrt{10}$

- Add like terms

∴ P = 20 + 2 $\sqrt{10}$

The perimeter of Δ ABC is 20 + 2 $\sqrt{10}$ units

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2 years ago

Read 2 more answers

For which function does f decrease by 15% every time x increases by 1

LenaWriter [7]

Answer:

$f(x) = 0.85^{x}$

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

$f(x) = {(1 - 0.15)}^{x}$

We simplify the parenthesis to get:

$f(x) = 0.85^{x}$

Therefore the decrease by 15% every time x increases by 1 is

$f(x) = {0.85}^{x}$

The second choice is correct.

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2 years ago

Morena is painting her bedroom and has a triangle of space left over as shown below. What is the area of the space Morena still

aleksandrvk [35]

The answer is Letter c

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2 years ago