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Free_Kalibri [48]
2 years ago
5

Help me answer question 8a and b, and I’ll give u 10 points lol

Mathematics
1 answer:
iren [92.7K]2 years ago
3 0

Answer:

Step-by-step explanation:

Find h when v = 20 and r = 3

Putting values in the formula

20 = (3.14)(3)2h

20 = (3.14)(9)h

20 = 28.26h

20/28.26 = h

R when v = 100 and h = 5

100 = (3.14)r2(5)

100/5 = 3.14r2

20 = 3.14r2

20/3.14 = r2

6.36 = r2

Square root on both sides

2.52 = r

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the mode is 7 because they have the most points

Step-by-step explanation:

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Is the relation shown in the arrow diagram a function?
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Yes. Every unique input has a unique output.

Step-by-step explanation:

Since every input has a different output, therefore it's a function. It's not a function when the input have more than 1 output. When graphing, make sure you take the vertical line test to see whether or not the graph is a function.

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2 years ago
Reduce to the lowest terms by canceling -14/9 times -3/7
maksim [4K]

Answer:

2/3

Explanation:

Given the below;

\frac{-14}{9}\times\frac{(-3)}{7}

We can see from the above that 9 is divisible by 3 and that 14 is divisible by 7, let's go ahead and reduce to the lowest term as shown below;

\frac{-14}{9}\times\frac{(-3)}{7}=\frac{-2}{3}\times\frac{(-1)}{1}=\frac{2}{3}

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1 year ago
Julio was paid1.4times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35 hours and e
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3 years ago
How does the graph of g(x) = <img src="https://tex.z-dn.net/?f=%28x%2B12%29%5E%7B2%7D" id="TexFormula1" title="(x+12)^{2}" alt="
Law Incorporation [45]

Answer:

Horizontal translation of the parent graph

Step-by-step explanation:

<h2><u>Definitions</u>:</h2>

In the <u>vertex form</u> of a quadratic function, f(x) = a(x - h)² + k, where:

  • (h, k) = vertex of the graph
  • <em>a</em>  = determines the width and direction of the graph's opening.

A <u>horizonal translation</u> to the parent graph is given by, y = f(x - h), where:

  • <em>h</em> > 0 ⇒ Horizontal translation of <em>h</em> units to the right
  • <em>h</em> < 0 ⇒ Horizontal translation of |<em>h </em>| units to the left

In the graph of g(x) = (x + 12)², the <u>vertex</u> occurs at point (-12, 0).

While the <u>vertex</u> of the parent graph, f(x) = x² occurs at point, (0, 0).

<h2><u>Answers</u>:</h2>

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (<em>h</em>, <em>k </em>) into the vertex form will result into:

g(x) = a(x - h)² + k

g(x) = [x - (-12)]² + 0

g(x) = (x + 12)² + 0

g(x) = (x + 12)²

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is <em>horizontally</em> translated 12 units to the left.  

3 0
2 years ago
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