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2 years ago

Write the product using exponents.

Mathematics

1 answer:

stiks02 [169]2 years ago

4 0

Answer:

$\pi ^{3} *x^{4}$

Step-by-step explanation:

Simplifying using the exponent rule with the same base $a^{n} *a^{m}$

$=a^{n+m} :\pi ^{1+1+1} *\pi ^{1+1+1+1}$

Calculate the sum or difference: $\pi^ {3} *x^{4}$

Answer: $\pi^ {3} *x^{4}$

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

3 years ago

How many dimes are equal to $9? (10 dimes = $1.00)

Paha777 [63]

90 dimes = $9 because 10 dimes = $1

7 0

3 years ago

Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest ar

tino4ka555 [31]

If Heather puts in 1.36% of her salary into a retirement account and she makes $63,000 in a year, this can be solved by 1.36% x 63000. First convert 1.36% into a decimal. To do this, divide by 100.

1.36/100=0.0136

1.36% x 63000
=0.0136 x 63000
=856.8
Heather would put $856.8 in for the whole year. To find how much per month, divide by 12.

856.8/12=71.4
Rounded to the nearest dollar is $71.

Heather would put $71 into a retirement account each month.

Note: This was solved by multiply the percent and then dividing by 12 months. You could also do this by dividing by 12 months first and then multiplying the percent.

6 0

4 years ago

2x - y = 0 4x - y = 0

Delicious77 [7]

Answer:

what's the question here ?

6 0

3 years ago

Read 2 more answers

I have a circle that has a diameter of 10 inches

Stells [14]

The area of the circle is 314.16