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ycow [4]
3 years ago
12

A cone-shaped container has a height of 9 inches and diameter of 2 inches. It is filled with a liquid that is worth $2 per cubic

inch. What is the total value of the liquid in the container? Use 3.14 for π .
Mathematics
2 answers:
Vesnalui [34]3 years ago
7 0
Volume liquid = volume of the cone =  1/3 * pi * r^2 * h = 1/3 *3.14 * 1^2 * 9

=  9.42 in^3

so total value = 2 * 9.42 = $18.84
ss7ja [257]3 years ago
6 0
The correct answer is $18.84. Hope this helps! :) 
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Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = x − 90.
ycow [4]

The transformation of a function may involve any change. The transformation of the function is Right shift by 90 units.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)

Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)

Since the function is transformed from f(x)=x to g(x)=x-90, therefore, the transformation of the function is Right shift by 90 units.

Learn more about Transforming functions:

brainly.com/question/17006186

#SPJ1

5 0
2 years ago
How do you find the percent of increase from 12 to 18?
olga nikolaevna [1]
Let's get the data out of the problem:

Nv = 18

Ov = 12

Now, we can apply in this equation that relates the new and the old values:

i = Nv / Ov

i = 18 / 12

i = 1.5

Now, we just consider what has passed from 1, and this is 0.5, converting to percentage it is:

p = 0.5 . 100

p = 50%

The increase was 50%.

Hope it helps.
4 0
3 years ago
Given thatP(5,4) Q(8,10) and R (X,18) are collinear. Find X
aleksley [76]

Answer:

x = 12.

Step-by-step explanation:

If P(5,4),Q(8,10) and R(x,18) are collinear

then the slope of PQ equals the slope of QR

hence:

(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)

6/3= 8/(x - 8)

2 = 8/(x - 8)

multiplying both sides by (x - 8) gives:

2(x - 8) = 8

2x - 16 = 8

2x = 8 + 16 = 24

hence x = 12

8 0
2 years ago
Read 2 more answers
What are the x and y intercept of c = 0.75m + 2.25?
lakkis [162]
The y intercept is 2.25 and x intercept is -3
6 0
3 years ago
Read 2 more answers
Factorising <br><br> factorise 8p - 4
wel

Answer:

4(2p−1)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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