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Ksivusya [100]
3 years ago
11

What is the factored form of 125a^6-64?

Mathematics
1 answer:
pashok25 [27]3 years ago
7 0
The answer to the question is
(5a^2-4)(25a^4+20a^2+16)
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Rita runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?
kherson [118]

You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles




5 0
3 years ago
What is 6 divided by 9 3/4
den301095 [7]
Calculator gives me 0.6153846154
6 0
3 years ago
Read 2 more answers
luvenia can row 4mph in still water. She takes as long to row 7 mi upstream as 21 mi downstream. how ​
xeze [42]

Answer:

The speed of the river is 2mph.

Step-by-step explanation:

I guess that we want to find the speed of the river.

First, remember the relation: speed*time = distance

If the speed of the river is Sr, when Luvenia moves downstream (in the same direction that the flow of the water) the total speed will be equal to the speed of Luvenia in still water plus the speed of the water:

Sd = 4mph + Sr

and at this speed, in a time T, she can move 21 miles, so we have:

Sd*T = (4mph + Sr)*T = 21 mi

When moving upstream, the speed will be:

Su = (4mph - Sr)

and in the same time T as before, she moves 7 miles, so we have the equation:

Su*T = (4mph - Sr)*T = 7 mi

Then we have two equations:

(4mph + Sr)*T = 21 mi

(4mph - Sr)*T = 7 mi

Now we can take the quotient of those two equations and get:

((4mph + Sr)*T)/((4mph - Sr)*T) = 21/7

The time T vanishes, and we can solve it for Sr.

(4mph + Sr)/(4mph - Sr) = 3

4mph + Sr = 3*(4mph - Sr) = 12mph - 3*Sr

4*Sr = 12mph - 4mph = 8mph

Sr = 8mph/4 = 2mph.

7 0
4 years ago
(view image below) Find the mean or median of each data set as indicated
hram777 [196]

Answer: ✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                 Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ Mean = 4.8  Median = 4.5

The mean is the average. To find the mean add up all the numbers and divide by the number of numbers:

3 + 3 + 4 + 5 + 5 + 9 = 29

29 ÷ 6 = 4.8

To find the mean, keep crossing out numbers until you are left with one number (for an odd amount of numbers). When you have an even amount of numbers, keep crossing out until you are left with 2 numbers. Add those 2 numbers and then divide:

4 + 5 = 9

9 ÷ 2 = 4.5

Step-by-step explanation:

5 0
2 years ago
Multiply: 4x * root(3, 4x ^ 2) * (2 * root(3, 32x ^ 2) - x * root(3, 2x))
Salsk061 [2.6K]

Answer:

32 {x}^{2} \sqrt[3]{ 2x }    -8{x}^{3}

Step-by-step explanation:

We want to

4x \sqrt[3]{4 {x}^{2} } (2 \sqrt[3]{32 {x}^{2} }  - x \sqrt[3]{2x} )

We expand to obtain:

4x \sqrt[3]{4 {x}^{2} }  \times 2 \sqrt[3]{32 {x}^{2} }  -4x \sqrt[3]{4 {x}^{2} } \times  x \sqrt[3]{2x} )

We now simplify

8x \sqrt[3]{4 {x}^{2}  \times 32 {x}^{2} }    -4 {x}^{2}  \sqrt[3]{4 {x}^{2}  \times 2x}

We multiply the radicand

8x \sqrt[3]{64 \times {x}^{3}  \times 2x }    -4 {x}^{2}  \sqrt[3]{8 {x}^{3}}

Or

8x \sqrt[3]{ {(4x)}^{3}  \times 2x }    -4 {x}^{2}  \sqrt[3]{{(2x)}^{3}}

We take cube root to get:

8x  \times 4x\sqrt[3]{ 2x }    -4 {x}^{2}  \times 2x

We multiply out to get:

32 {x}^{2} \sqrt[3]{ 2x }    -8{x}^{3}

6 0
3 years ago
Read 2 more answers
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