All categories

3 years ago

Find the product. (0.5n^5)^2(10n^7)^3

Mathematics

2 answers:

pochemuha3 years ago

5 0

The answer is 250x^31

never [62]3 years ago

3 0

Answer:

250{n}^{31}

Step-by-step explanation:

$(0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3} \\ = (0.5)^{2}{n}^{5 \times 2} \times (10)^{3} {n}^{7 \times 3} \\ = 0.25{n}^{10} \times 1000{n}^{21} \\ = 0.25 \times 1000 {n}^{10 + 21} \\ = 250{n}^{31}$

You might be interested in

You plan to make cakes. Each cake requires 1 1/4 cup of sugar. You have 7 1/3 cups of sugar. How many cakes can you make

vampirchik [111]

If u got all the cups it will be 3

4 0

3 years ago

Write the equation of a line in slope-intercept form, y = mx + b, between the following

kupik [55]

Answer:

$y = \frac{3}{2} x + 2$

Step-by-step explanation:

In the slope-intercept form y= mx +b, m is the slope and b is the y- intercept.

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

Using the formula above,

$slope = \frac{5 - ( - 4)}{2 - ( - 4)}$

$m = \frac{5 + 4}{2 + 4}$

$m = \frac{9}{6}$

$m = \frac{3}{2}$

Substitute the value of m into the equation:

$y = \frac{3}{2} x + b$

To find the value of b, substitute a pair of coordinates into the equation.

When x= 2, y= 5,

$5 = \frac{3}{2} (2) + b$

5= 3 +b

b= 5 -3

b= 2

Thus, the equation of the line is $y = \frac{3}{2} x + 2$ .

5 0

3 years ago

Find an expression which represents the sum of (10x−7y) and (7x-8y) in simplest terms.

Juli2301 [7.4K]

Answer:

17x - 15y

Step-by-step explanation:

(10x - 7y) + (7x -8y)

17x - 15y

8 0

3 years ago

Yoooooo help me out pls<br><br> -ayyyyy

Mama L [17]

Answer:

probably a. metres

Step-by-step explanation:

hectometres are huge and the other two are super small so thats my guess lol

7 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