If 7% of Americans is about 22 million, which number below could represent 7% of Americans

1.5x7 = 10.5 cups per week

I don't know how to convert it. probably a decimal or fraction.

here's how to convert, 10.5/16 = # gallon(s)

7 0

2 years ago

A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c

Alenkinab [10]

Answer:

$C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}$

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

$l\times b\times h$

where l is the length, b is the base and h is the height.

Volume of box =

$s^2h = 150\\\\h = \dfrac{150}{s^2}$

Area of base =

$\text{side}\times \text{side} = s^2$

Cost of concrete for the base = $4

Cost of base($) = $4s^2$

Area of roof =

$\text{side}\times \text{side} = s^2$

Cost of material for the roof = $2

Cost of roof ($) = $2s^2$

Area of 4 walls =

$4\times (sh)\\=4sh$

Cost of material for the side = $2.50

Cost of material of side($) =

$2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}$

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

$C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}$

is the required cost function.

5 0

3 years ago

The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.

Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

y = (x + 4)² - 9 ← expand factor using FOIL

y = x² + 8x + 16 - 9

y = x² + 8x + 7

4 0

2 years ago

Please help it's for a test!

Tanya [424]

Answer:

0.2322 or 23.22 %

Step-by-step explanation:

We have to solve and find the area out of these limits

μ + 0,3 = 210 + 0,3 ⇒ 210,3 and

μ - 0,3 = 210 - 0,3 ⇒ 209.7

z(l) = ( x - 210 ) / (2.8/√84) ⇒ z(l) = - (0.3 * 9,17)/ 2.8

z (l) = - 1.195

We need to interpole from z table

1.19 ⇒ 0.1170

1.20 ⇒ 0.1151

Δ ⇒ 0.01 ⇒ 0.0019

And between our point 1,195 and 1,19 the difference is 0.005

then 0.01 ⇒ 0.0019

0.005 ⇒ ?? (x)

we find x = 0.00095

to get the area for poin z (l) - 1.195 up to final left tail is from z table

0,1170 - 0.00095 = 0.1161

And by symmetry to the right is the same

So 0.1161 * 2 = 0.2322

We find the area out of the above indicated limits the area we were looking for. This is the probability of finding shafts over and below the population mean and 0.3 inches

Step-by-step explanation:

5 0

2 years ago

Identify the coefficient(s), constants, and number of terms for the following expression:

shusha [124]

The given expression is: $4 x^{2} -5$

So, there are two terms in the expression
1) $4 x^{2}$
2) -5

The constant term is -5.
The co-efficient of $4 x^{2}$ is 4.

7 0

3 years ago