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3 years ago

Evaluate. Write your answer as a fraction or whole number without exponents. 9^–3 =

Mathematics

1 answer:

juin [17]3 years ago

3 0

Answer:

$\frac{1}{9^3}$ or $\frac{1}{729}$

Step-by-step explanation:

When we have an exponent that is a negative, it is the same thing as 1 over the positive exponent. So, we move 9^-3 into 1/9^3 and then we evaluate the exponent to get our answer.

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Find the volume of the cylinder Either enter an exact answer in terms of Pi or use 3.14 or Pi

kotegsom [21]

Answer:

$Volume = 54\,\pi$

Step-by-step explanation:

Recall the formula for the volume of a cylinder:

$Volume=\pi \,R^2\,H$

where R is the radius of the cylinder's base, and H is the cylinder's height.

Therefore, in our case the volume becomes:

$Volume=\pi \,R^2\,H\\Volume=\pi \,3^2\,*\,6\\Volume = 54\,\pi$

8 0

3 years ago

Let a=<-4,-3,5> Find a unit vector in the same direction as having positive first coordinate.

Rashid [163]

Answer:

The value is $u = < \frac{2\sqrt{2}}{10} , \frac{3\sqrt{2}}{10} , - \frac{\sqrt{2}}{2}>$

Step-by-step explanation:

From the question we are told that

The vector is a=<-4,-3,5>

Generally the unit vector is $u = ay$

Here y represent the y-coordinate

$u =y$

=> $u =$

Generally the resultant of a unit vector is 1

$|u| = \sqrt{ (-4y)^2 + (-3y)^2 + (5y)^2} = 1$

Hence

$|u| = \sqrt{ 16y^2 + 9y^2 + 25y^2} = 1$

Taking the square of both sides

$16y^2 + 9y^2 + 25y^2 = 1$

=> $50y^2 = 1$

=> $y = \pm \frac{1}{\sqrt{50}}$

=> $y = \pm \frac{1}{5 \sqrt{2}}$

Rationalizing

=> $y = \pm \frac{\sqrt{2}}{10}$

Given that the first coordinate is positive

$y = - \frac{\sqrt{2}}{10}$

Hence the unit vector is

$u =$

=> $u = < \frac{2\sqrt{2}}{10} , \frac{3\sqrt{2}}{10} , - \frac{\sqrt{2}}{2}>$

4 0

3 years ago

Find the Midpoint of the segment drawn between the two points

laila [671]

Answer:

M = (1.5, 0.5)

Step-by-step explanation:

Use the midpoint formula to find the midpoint between two points

6 0

3 years ago

PLEASEEEE HELPPPP!!!!!<br> Alll the points i haveee!!!

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

C. This is the correct answer because the wage rises by $2, which is 2/20=10% increase. Next year the increase percent is 2.20/22=10%. That's a constant percent increase

3 0

4 years ago

Read 2 more answers

Solve using ELIMINATION (with step by step explanation) Please<br><br> 3x+y=-9<br> y=5x+7

Yuki888 [10]

Answer:

<h2>x = -2 (verified by algebra) ✅</h2>

Step-by-step explanation:

Since we are given the value of y, we can replace it with 5x + 7.

We now have: 3x + 5x + 7 = -9

We can now simplify by adding 3x and 5x to get 8x.

8x + 7 = -9

We can subtract 7

8x = -16

And now, we divide by 8

x = -2

We can check to make sure we are correct

3(-2) + 5 (-2) + 7 = -9

-6 + -10 + 7 = -9

-9 = -9 ✅

7 0

3 years ago