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Elenna [48]
3 years ago
5

The piecewise function h(x) is shown on the graph. What is the value of h(3)?

Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

Answer:

In the given graph h(x)

When x=3, h(3)=1

<u>1</u> is the right answer.

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your friend says that the volume of a sphere with a radius r is four times the volume of a cone with radius r. when is this true
Ierofanga [76]
Volume of a sphere is given by the formula: V_{\circ}=\frac43\pi r^3

If we pull the 4 out front we have, V_{\circ}=4\left(\frac13\pi r^3\right).

Volume of a cone is given by the formula: V_{\triangle}=\frac{1}{3}\pi r^2\cdot h

Notice that if the height of the cone is equal to the radius, V_{\triangle}=\frac13\pi r^2\cdot r

then it's exactly what we see in our volume formula without the 4!
7 0
3 years ago
Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
4 years ago
17) If your GROSS INCOME is $90,000 and you have 33% in TAXES
pychu [463]
60,000 nnnmmmmmmmmmm
5 0
3 years ago
Find the critical value t a/2 needed to construct a confidence interval of the given level with the given sample size. level 95%
stepan [7]
Α = 1- (95/100) = 1-0.95 = 0.05

p = 1- α/2 = 1- 0.05/2 = 1-0.025 = 0.975

Degrees of freedom, df = Sample size -1 = 11-1 = 10

From t-tables, with cumulative probability pf 0.975 and df of 10,
Critical value = 2.228
7 0
3 years ago
What is the greatest common factor of 15x^3y^2 and 20x^4y^4?
Vanyuwa [196]
<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? ​</h3>

​<em>First we have to find the factors of 15x³y²</em>

<em>15x³y² = 3 * 5x³y² ​</em>

<em>​Then we have to find the factors of 20x⁴y⁴</em>

<em>​20x⁴y⁴ = 2²x¹y² * 5x³y²</em>

<em>Now we have to find the common factors to both numbers.​</em>

<em>The common factors are </em><em>5x³y²</em>

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²​

​Hope this helps!​​​​

​​\textit{\textbf{Spymore}}​​​​​​

6 0
4 years ago
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