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3 years ago

Write the expression (−7)·(−7)·5·5·5·5 using exponents.

Mathematics

1 answer:

TEA [102]3 years ago

3 0

Answer:

-7² · 5⁴

Step-by-step explanation:

-7 is being multiplied by itself 2 times and 5 is being multiplied by itself 4 times.

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If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

Evgen [1.6K]

Answer:

Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

Area of material required to make the box is equal to is $A^2 + 4*A*H.$

$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

$V = A*A* H$

Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

For maximum volume

$\frac{dV}{dA} =0$

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

3 0

3 years ago

A roller coaster begins at 418 feet above sea level. Then it descends 384 feet. What is the height of the roller coaster after i

Ainat [17]

Answer:

34 feet

Step-by-step explanation:

418 - 384 = 34 feet above sea level

3 0

3 years ago

9. What’s the answer to this please

Lady bird [3.3K]

<h2>Answer:</h2><h3>W = 5</h3><h3>Step-by-step explanation:</h3><h3>Simplify the brackets. </h3><h3>-2x^2 + wx - 4 - x^2 - 5x - 6 = -3x^2 - 10</h3><h3>Then simplify (-2x^2 + wx - 4 - x^2 - 5x - 6) to </h3><h3>( -3x^2 + wx - 10 - 5x)</h3><h3>This will give you 3x^2 + wx - 10 - 5x = -3x^2 - 10. </h3><h3>Now you need to cancel out -3x^2 on both sides. </h3><h3>wx - 10 - 5x = -10</h3><h3>Then cancel out -10 from both sides. </h3><h3>wx - 5x = 0</h3><h3>Now factor out the common term. (x) </h3><h3>w - 5 = 0.</h3><h3>giving you the answer w = 5. </h3><h3 /><h3 /><h3>welcome. *yeets*</h3>

6 0

3 years ago

The first person to answer this question and get it right will be marked as Brainiest!

Advocard [28]

Answer:

There is not enough info to draw valid conclusion

Step-by-step explanation:

Hope this helps

8 0

3 years ago

Read 2 more answers

A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function =ht−64t16t2. What is the ma

ryzh [129]

This is the concept of applications of polynomial equations. Given that the height of the ball is modeled by the function:
h(t)=16t^2-64t
the maximum height will be calculated as follows;
h(t)=16t(t-4)
therefore:
t=0 or t=4
h(4)=-64(4)+16(4^2)
=0

8 0

4 years ago