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Lynna [10]
3 years ago
6

Consider the graph of the parent exponential function f and transformed function g.

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

Shifted up 5 units, g(x) = -f(x) + 5

Step-by-step explanation:

When you look at the graph of the parent function f and the transformed function g, you can see that after a reflection over the x-axis, you would need to translate the graph 5 units up to produce g.

A reflection over the x-axis is taking the negative of the function and shifing 5 units up is adding 5 to the function, so g(x) = -f(x) + 5

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The water level is a number that indicates whether the level is above or below normal using positive or negative values.
Georgia [21]

Answer:

-3.85 feet

Step-by-step explanation:

-2.8 feet + 1/2(2.1) = 1.05 as the stream is more than previous then we must subtract to find previous = -2.8 - 1.05 = -3.85 feet

7 0
2 years ago
The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.
Natalija [7]

Answer:

The sample size should be approximately 151.      

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 100

Population standard deviation, σ = 15

We have to evaluate the sample size, n.

Alpha, α = 0.10

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

100 \pm 1.64(\frac{15}{\sqrt{n}} ) = (98,102)

100 \pm 1.64(\displaystyle\frac{15}{\sqrt{n}} ) = (98,102)\\\\1.64(\frac{15}{\sqrt{n}} ) = 2\\\\n = 151.29 \approx 151

Thus, the sample size should be approximately 151.

6 0
3 years ago
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
2 years ago
A cube has a volume of 2197 m^3. Its surface is to be painted. Each can of paint covers about 40 m^2. How many cans of paint are
Gelneren [198K]
<em>Volume= a³</em>
<em>a=edge</em>
<em>2197 = a³</em>
<em>=> a=13 m</em>
<em>Surface area=6a²=6*13²=6*169=1014 m²</em>
<em>\frac{1014}{40} = 25,35 ≈ 26</em>
<em>=> <u>26 cans needed</u></em>
8 0
3 years ago
Can anyone explain how this problem is done ?
Svetach [21]

B

Step-by-step explanation:

6 0
3 years ago
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