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lana [24]
3 years ago
8

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos

x ; g(x) = cos x Vertical stretch by a factor of 6 Horizontal shrink by a factor of one-sixth Horizontal stretch by a factor of 6 Vertical shrink by a factor of one-sixth
Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

  Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

  the vertical stretch factor is 6

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Ray delivered 3/8 of the newspapers on his route in the first hour and 4/5 of the rest in the second hour what fraction of the n
Temka [501]

Answer:

\frac{1}{2}

Step-by-step explanation:

Let the total number of Newspapers be x

Number of newspapers delivered in first hour of his route= \frac{3}{8} of x

Total number of newspapers delivered in first hour= \frac{3}{8}x

Number of newspapers left= x-\frac{3x}{8}

Number of newspapers left=\frac{8x-3x}{8}

Number of newspapers left=\frac{5x}{8}

Number of newspapers delivered in second hour=4/5 of\frac{5x}{8}

Number of newspapers delivered in second hour=\frac{x}{2}

Fraction of newspapers delivered in second hour is=\frac{1}{2}

Hence, the correct answer is \frac{1}{2}

8 0
3 years ago
Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics growth
emmainna [20.7K]

Answer:

\bar{x}=61.98

Step-by-step explanation:

The sample mean \bar{x} is a point estimate of the population mean μ.

Given the heights of the 6 tomato plants sample below:

55.6, 59.4, 59.9, 62.9, 64.9, 69.2

Point Estimate,

\bar{x}=\dfrac{55.6+59.4+59.9+62.9+64.9+69.2}{6} \\=\dfrac{371.9}{6} \\\bar{x}=61.98

4 0
3 years ago
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers
zhenek [66]
1 cm = 20 km

so 3.5 cm would equal : 3.5 * 20 = 70 km <==
8 0
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An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?
Olenka [21]
82 degrees and 98 degrees


First, find the original equation

180 = (x) + (x + 16)


Simplify: 180 = 2x + 16


Next, use the subtraction property of equality to subtract 16 from both sides


180 - 16 = 2x + 16 - 16


Simplify: 164 = 2x


Then, you can use the division property of equality to find the value of x

164/2 = 2x/2


Simplify: 82 = x



Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees
3 0
2 years ago
What is the percent of change from 100 to 14
Alik [6]

Answer:

there is an 86% change

4 0
3 years ago
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