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Sloan [31]
3 years ago
8

Identify the phase shift of each function. Describe each phase shift use a phrase like 3 units to the left

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

Answer:

It moves horizontally 1/2 units to the left

It moves vertically 2 units up

Step-by-step explanation:

∵ y = Acos(Bx - C) + D

∵ y = 2 - 3cos(2x + 1)

∴ The phrase of shift:

∵ The horizontally shift is -C/B = - 1/2 = -1/2

∴ It moves 1/2 units to the left

∵ The vertically shift is D

∴ It moves 2 units up

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According to the Internal Revenue Service (IRS), the chances of your tax return being audited are about 6 in 1,000 if your incom
Tamiku [17]

Answer:

The probability that none of these taxpayers will be audited by the IRS is 0.8996 or 89.36%

Step-by-step explanation:

According to given:

Probability of being audited for income less than $50,000 = 6/1000 = 0.006

Therefore,

Probability of not being audited for income less than $50,000 = 1 - 0.006 = 0.994

Similary,

Probability of being audited for income more than $100,000 = 49/1000 = 0.049

Therefore,

Probability of not being audited for income more than $100,000 = 1 - 0.049 = 0.951

Now, for the probability of 2 persons with less $50,000 income and 2 persons with more than $100,000 income, to not being audited, we must multiply the probabilities of not being audited of each of the 4 persons.

Therefore,

Probability that none of them is audited = (0.994)(0.994)(0.951)(0.951)

<u>Probability that none of them is audited = 0.8936 = 89.36%</u>

5 0
3 years ago
Which equation best represents a trend line for the scatter plot? These are fractions BTW.
kenny6666 [7]
(1, 8) and (7,1)
slope = (8-1)/(1-7) = -7/6
y = mx + b
b = y - mx
b = 8 - (-7/6)(1)
b = 8 + 7/6
b = 55/6

equation
y = -7/6(x) + 55/6

answer
<span>y=−7/6 x+55/6 </span>
6 0
3 years ago
Read 2 more answers
Find the antiderivative of the function: <br> (x^4+2x^2)/x^3
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Set the function up in integral form and evaluate to find the integral.
F(x)=F(x)=12x2−ln(|x|)−1x2+C
3 0
3 years ago
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Equation editor does not include the grouping symbols “&lt;“ and “&gt;” that are necessary for writing a vector in component for
Scilla [17]

Answer:

{12,2}

Step-by-step explanation:

From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).

If initial point of a vector is (x_1,y_1) and terminal point is (x_2,y_2), then

\overrightarrow{v}=(x_2-x_1)i+(y_2-y_1)j

Using this formula, we get

\overrightarrow{v}=(7-(-5))i+(2-0)j

\overrightarrow{v}=12i+2j

\overrightarrow{v}=

Using braces, we get

\overrightarrow{v}=\{12,2\}

Therefore, the required vector is {12,2}.

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3 years ago
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Is there anymore info
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