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3 years ago

13

2. Erin stores her art work in a box like the rectangular prism below. 10 inches long, 9 inches wide, and 4 inches tall. Write a

FORMULA that represents the volume of the box.

1 answer:

GarryVolchara [31]3 years ago

8 0

Answer:

10*9*4=360

Step-by-step explanation:

Volume = Length * Width * Height

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A box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with

Ber [7]

Answer:

$-3.1$ cm per minute.

Step-by-step explanation:

We have been given that a box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant.

We know that volume of a cuboid is length times width times height.

$V=lwh$

Upon substituting our given width and length, we will get:

$V=17\cdot 10\cdot h$

$V=170\cdot h$

Now, we will find derivative of volume with respect to time as:

$\frac{dV}{dt}=170\cdot \frac{dh}{dt}$

Since the volume of the box is decreasing at a rate of 527 cubic cm per minute, so we will substitute $\frac{dV}{dt}=-527$ as:

$-527=170\cdot \frac{dh}{dt}$

$\frac{-527}{170}=\frac{170\cdot \frac{dh}{dt}}{170}$

$\frac{dh}{dt}=-3.1$

Therefore, the rate of change in height is $-3.1$ cm per minute.

6 0

4 years ago

Add. (5y - 1) + (-2y + 4)

MArishka [77]

The correct answer would be, "3y+3".

Hope I helped!

7 0

3 years ago

If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)

klio [65]

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

5 0

3 years ago

Find the solutions of 6(2-7x)+x(7x-2=0)

azamat

$6(2-7x)+x(7x-2)=0$

Use distributive property: a(b - c) = ab - ac

$(6)(2)-(6)(7x)+(x)(7x)-(x)(2)=0\\\\12-42x+7x^2-2x=0\\\\7x^2-44x+12=0\\\\7x^2-42x-2x+12=0\\\\7x(x-6)-2(x-6)=0\\\\(x-6)(7x-2)=0\iff x-6=0\ \vee\ 7x-2=0\\\\x-6=0\ \ \ |+6\\\\x=6\\\\7x-2=0\ \ \ |+2\\\\7x=2\ \ \ |:7\\\\x=\dfrac{2}{7}$

Answer:\ $x=6\ \vee\ x=\dfrac{2}{7}$

8 0

3 years ago

5(y + 2/5) = -13<br><br> Solve for y<br><br> Show or explain your method

Natalija [7]

Step 1. Multiply 5 by y and you get 5y
Step 2. Multiply 5 by .4(2/5)
Step 3. Your equations will look like 5y+2=-13
Step 4. Subtract 2 from its self and -13
Step 5. Your equation will be 5y=-15
Step 6. Divide 5 from both sides
Step 7. Your answer is y=-3

8 0

3 years ago

Read 2 more answers