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3 years ago

Which is equivalent to 16 ¾x ?⁴sqrt16 ³x⁴x sqrt16³³sqrt16⁴x³xsqrt16⁴

Mathematics

1 answer:

Mariulka [41]3 years ago

4 0

For this case we must find an expression equivalent to:

$16 ^ {\frac {3x} {4}}$

By definition of properties of powers and roots we have:

$a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}$

Then, we can rewrite the expression as:

$\sqrt [4] {16 ^ {3x}}$

Answer:

$\sqrt [4] {16 ^ {3x}}$

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3 years ago

Can someone help me with my math work please?

MArishka [77]

I Will Number All The Answers Below, and give my best explanation :D

Jay Has 10 Tallies, When There Is 10 Tallies, Normally It Means the number 10

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7. You See Those Squares On The Graph? You Are Going to color them out

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2 years ago

Solve for p. 7(p-9) = -34. 3

dedylja [7]

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Step-by-step explanation:

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2 years ago

The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0

3 years ago

Bob has to pack 192 boxes. This morning, he packed 84 boxes in 312 hours. If Bob continues at the same rate, how long will it ta

kondor19780726 [428]

Answer:

51.69 hours (see explanation)

Step-by-step explanation:

This question is simple once you break it down:

84 boxes in 312 hours is a rate, so it can be shown in fraction form:

84 boxes / 312 hours

Now to figure out how long it takes to unpack those 192 boxes, just multiply:

192 x 84/312

(192 x 84) / 312

16128 / 312

Now, just divide the numbers:

16128 ÷ 312 = 51.69 hours

6 0

3 years ago

Read 2 more answers

Which is equivalent to 16 ¾x ?⁴sqrt16 ³x⁴x sqrt16³³sqrt16⁴x³xsqrt16⁴​

Which is equivalent to 16 ¾x ?⁴sqrt16 ³x⁴x sqrt16³³sqrt16⁴x³xsqrt16⁴