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3 years ago

Can Anyone help me out?

Mathematics

2 answers:

Andreas93 [3]3 years ago

5 0

The answer is A.
It is a translation 4 units to the right, and such is A.

Y_Kistochka [10]3 years ago

3 0

g(x) = $\sqrt[3]{(x-4)}$

given g(x) = f(x) then f(x - 4 ) represents a translation of 4 units to the right

while f(x + 4) represents a translation of 4 units to the left

the graph of y = $\sqrt[3]{x}$ passes through the origin and since

the graph of the translation passes through (4, 0 ), thus

g(x) = $\sqrt[3]{(x-4)}$

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Sam Kramer earns an annual salary of $38,900. He is paid semimonthly. His personal exemptions total $4826. The state income tax

Alisiya [41]

Step-by-step explanation:

we pay taxes of the income without the exemptions.

so, the tax-interresting amount is

38,900 - 4826 = $34,074

2% of the first $1000 = $20

$34,074 - 1000 = $33,074

3% of the next $3000 = $90

$33,074 - 3000 = $30,074

3.5% of the next $3000 = $105

$30,074 - 3000 = $27,074

4% of $27,074 = $1,082.96

so, in total he pays state taxes over a year

20+90+105+1082.96 = $1,297.96

now, he gets paid semimonthly, that means twice a month.

his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.

so, each state income tax deduction is then

$1,297.96 / 24 = $54.08 on every paycheck.

8 0

2 years ago

The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c)

Ilya [14]

Answer:

$\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29$

$s=1.09$

Step-by-step explanation:

For this case we have the following data given:

2.3 3.1 2.8

1.7 0.9 4.0

2.1 1.2 3.6

0.2 2.4 3.2

Since the data are assumedn normally distributed we can find the standard deviation with the following formula:

$\sigma =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And we need to find the mean first with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29$

And then we can calculate the deviation and we got:

$s=1.09$

7 0

2 years ago

Read 2 more answers

A set X consists of all real numbers greater than or equal to 1. Use set-builder notation to define X.

vitfil [10]

Theory:

The standard form of set-builder notation is 

{ x | “x satisfies a condition” }

This set-builder notation can be read as “the set of all x such that x (satisfies the condition)”.

For example, { x | x > 0 } is equivalent to “the set of all x such that x is greater than 0”.

Solution:

In the problem, there are 2 conditions that must be satisfied:

1st: x must be a real number

In the notation, this is written as “x ε R”. Where ε means that x is “a member of” and R means “Real number”

2nd: x is greater than or equal to 1

This is written as “x ≥ 1”

Answer:

Combining the 2 conditions into the set-builder notation:

X = { x | x ε R and x ≥ 1 }

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3 years ago

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Virty [35]

Answer:

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Step-by-step explanation:

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2 years ago

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givi [52]

Hey I got to it c c c c c c c c c c c c c c c c 8 8

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3 years ago