Evaluate -(3^-5)(3^3)<br> A. -9<br> B. 9<br> C. 1/9<br> D. -1/9

2008 population of wyoming was counted as 532,668 people. what is a reasonable estimate of the population of wyoming?

Snezhnost [94]

The smaller is the rounding factor, the more accurate the estimation is

532668 rounded to the nearest ten is 532670
532668 rounded to the nearest hundred is 532700
532668 rounded to the nearest thousand is 533000
532668 rounded to the nearest ten thousand is 530000
532668 rounded to the nearest hundred thousand is 500000

We can use either 532700 or 533000 as a reasonable estimate because these values don't give much difference to the original value

8 0

3 years ago

Write this equation in vertex form.<br> y = x^2 -12x +20

kotegsom [21]

Answer:

$y = (x-6) ^ 2 -16$

Step-by-step explanation:

The vertex form for a quadratic equation has the following form:

$y = (x-h) ^ 2 + k$

Where the vertice of the equation is the point (h, k)

To transform the equation $y = x ^ 2 -12x +20$ in its vertex forms we must find its vertex.

Be a quadratic equation of the form:

$ax ^ 2 + bx + c$

Where a, b and c are real numbers, then the vertex of the equation will be:

$x = - \frac{b}{2a}$

For the given equation:

$b = -12\\a = 1$

Therefore the vertice is:

$x = - \frac{-12}{2(1)}\\\\x = 6$

Now we substitute x = 6 into the equation and find the value of k.

$y = (6) ^ 2 -12 (6) +20\\\\y = -16 = k$

Therefore the vertice is: (6, -16)

And the equation is:

$y = (x-6) ^ 2 -16$

8 0

3 years ago

Read 2 more answers

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. g(x)=-2 x²-3(x-2)

valentinak56 [21]

The function g(x) is a quadratic function:

Its quadratic term is -2x²
Its linear term is - 3x
Its constant is 6

<h3>What are functions?</h3>

Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.

This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:

1 : linear

2 : quadratic

The function:

g(x) = -2x² - 3(x- 2).

g(x) = -2x² - 3x + 6 , we have a quadratic function.

Its quadratic term is -2x²
Its linear term is - 3x
Its constant is 6

Learn more about functions at:

brainly.com/question/28586957

#SPJ4

8 0

1 year ago

I need the volume for 9,11,and 13

mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is $\pi r^{2} \frac{h}{3}$ .

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

$\pi 8.8^{2} \frac{23.4}{3}$

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

$3.14 * 77.44 * 7.8$

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is $a = \frac{1}{2} h(b_{1} +b_{2} )$

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

$a = \frac{1}{2} 24.7(10 +34 )$

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is $a = \frac{\sqrt{3} }{4} s^{2}$

The length of the side is 12, so we can square that to get 144.

Now multiply that by $\frac{\sqrt{3} }{4}$ to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0

3 years ago

Use the figure to decide the type of angle pair that describes 6 and 4

kumpel [21]

It’s corresponding angles

3 0

3 years ago

Evaluate -(3^-5)(3^3) A. -9 B. 9 C. 1/9 D. -1/9