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2 years ago

21. Glass Vase You are taking a glass-blowing class and have created a vase in the

Mathematics

1 answer:

WARRIOR [948]2 years ago

5 0

Answer:

V = 12,348·π

Step-by-step explanation:

The given parameters of the glass Vase are;

The shape of the glass vase = A sphere

The radius of the vase, r = 21 inches

The given formula for finding the volume of a sphere is $V = \dfrac{4}{3} \cdot \pi \cdot r^3$

Therefore, when r = 21 inches, we get;

$V = \dfrac{4}{3} \cdot \pi \cdot 21^3 = {12,348 \cdot \pi}$

Therefore, the expression for finding the equation of the spherical glass vase, V = 12,348·π

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It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num

shutvik [7]

Answer:

A. $y=-1.2x+59$

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, $y_{1}=59\textrm{ million}$

Newspapers circulated in year 2014, $y_{2}=47\textrm{ million}$

Let the time $x$ start at the year 2004. So, $x_{1}=0$

For the year 2014, $x_{2}=2014-2004=10$

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59$

Therefore, the equation describing the relationship is: $y=-1.2x+59$

Part B:

For the year 2018, $x=2018-2004=14$

Plug in 14 for $x$ in the above equation and solve for $y$ . This gives,

$y=-1.2(14)+59\\y=-16.8+59\\y=42.2$

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

8 0

3 years ago

If f(x) = 3X + 10x and g(x) = 4x - 2, find (f+g)(x).

Andrews [41]

17x-2 just add the two functions

4 0

3 years ago

The power 9^2 is equivalent to 81. What is the value of 9^-2?

lidiya [134]

Answer:

0.01234567901

Step-by-step explanation:

pls make me brainliest

5 0

3 years ago

Read 2 more answers

Model Real Life You and a partner

shutvik [7]

No. Using multiplication and division, you and your partner will not each get the same number of flips because one can flip 23 times, while the other does it 22 times.

<h3>What are mathematical operations?</h3>

The basic mathematical operations include addition, subtraction, multiplication, and division.

These mathematical operations are performed on numbers, variables, equations, and functions to determine numerical results.

In this situation, we first multiply to get the total number of times the 3 bottles can be flipped.

This total is divided by 2 to see if there will not be a remainder. The result of the division operation is an odd value.

The number of bottles for flipping = 3

The number of times to flip each bottle = 15 times

The total number of times to flip the 3 bottles = 45 times 93 x 15)

The number of those conducting the bottle flipping experiment = 2

The number of times each partner can flip the bottles evenly = 22.5 times (45/2)

Each partner cannot flip the same number of times based on the mathematical operations because 45 is not an even number.

Learn more about mathematical operations at brainly.com/question/20628271

#SPJ1

7 0

1 year ago

What is the volume in cubic centimeters if the<br> pyramid has a height of 27 centimeters?

aleksley [76]

Answer:

<h2>The volume of the pyramid would be 4500 cm³.</h2>

Step-by-step explanation:

Formulas you would be using:

Volume of a pyramid: $V = \frac{bh}{3}$ b = base, h = height

Area of a trapezoid: $A = \frac{a+b}{2} h$ a = base₁ , b = base₂ , h = height

First, we're going to find the area of the trapezoid, which is the base of the pyramid.

We are given that a = 20, b = 30, h = 20

Plug it in:

$\frac{20+30}{2} (20)$ = 500 cm²

Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.

$V = \frac{(500)(27)}{3}$ = 4500 cm³

Hope this helps :D

5 0

3 years ago