(^5sqrt x^7)^3 show step by step how to do it

1 answer:

7 0

Perhaps you meant [(√(x^7))^(1/5)]^3

The fifth root of the square root of x to the seventh cubed?

√(x^7)=(x^7)^(1/2)=x^(7/2)

(x^(7/2))^(1/5)=x^(7/10)

(x^(7/10))^3

x^(21/10)

Sorry I did my best to decipher what you wanted to express.

In general:

(a^b)^c=a^(b*c) just work from the inside to the outside...

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Clarissa uses 8.6 pints of blue paint and white paint to paint her bedroom walls. 3/5 of this amount is blue paint, and the rest

xenn [34]

Answer:

3.44 pints of white paint

Step-by-step explanation:

3/5 x 8.6 = 5.16 pints

Clarissa uses 5.16 pints of blue paints

Subtract 5.16 from 8.6 to find out how many pints of white paint did Clarissa use.

8.6 - 5.16 = 3.44 pints of white paint

3 0

3 years ago

During the first part of a trip, a canoeist travels 96 miles at a certain speed. the canoeist travels 15 miles on the second pa

blondinia [14]

This problem is a problem using
d = r * t
First part of the trip
d = 96 miles
r = ??
t = ??

Second part of the trip
d = 15 miles
r = r - 5
t = 4 - t

Solve for r first.
96/r + 15/(r - 5) = 4 hours multiply through by r and r - 5
96(r - 5) + 15r = 4*(r - 5)(r) Remove the brackets on the left
96r - 480 + 15r = 4*r*(r - 5) Collect like terms on the left.
111r - 480 = 4r(r - 5) Remove the brackets on the right.
111r - 480 = 4r^2 - 20r Bring the left side over to the right side.
0 = 4r^2 - 20r - 111r + 480 Collect like terms.
0 = 4r^2 - 131r + 480

The only way I could do this was to use the quadratic equation.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 4

b = - 131

c = 480

$\text{x = }\dfrac{ -(-131) \pm \sqrt{(-131)^{2} - 4*4*480 } }{2*4}$
$\text{x = }\dfrac{ 131 \pm \sqrt{(17161) - 7680 } }{8}$
$\text{x = }\dfrac{ 131 \pm \sqrt{9481 } }{8}$
$\text{x = }\dfrac{ 131 \pm 97.37 }{8}$

x = (131 + 97.38)/8
x = 28.55
x = (131 - 97.37)/8
x = 4.20

4.2 isn't going to work because the slower speed has to be larger than 5, otherwise you will get a negative speed (as this solution will give), so 4.20 is an extraneous solution.

r = 28.55 for the first part of the trip and
r = 23.55 for the second part of the trip.

Check.
Let's see if the times add up to 4
d/r = t
96/28.55 = 3.36
15/22.75 = 0.64

The times do = 4, so the rates are correct.

Answers
r1 = 28.55 for the 96 mile trip.
r2 = 23.55 for the 15 mile trip.

8 0

3 years ago

Write an equation in slope-intercept form that goes through (12, 4) and (20,8).

spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$