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3 years ago

5

a shelf holds 3 novels, 2 biographies, and 1 history book. two students in turn choose a book at radom. what is the probability

that the students choose both biographies?

1 answer:

shepuryov [24]3 years ago

3 0

1/2 choose biographies

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Detetmine the next two terms in the sequence.

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Detetmine the next two terms in the sequence.
3, 16, 29, 42,
21, 25, 29, 33,
1, 2, 3, 5, 8, 1,

Determine the missing number in each sequence.

5,____, 10, 12 1/2
11, 5, 9, 4,____, 5, 2
40, ____, 37 1/3, 36

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3 years ago

A manufacturer makes closed cubic containers from sheet metal. How many square centimeters of sheet metal will a 27,000 cm 3 con

dezoksy [38]

let's recall that a cube is just a rectangular prism with all equal sides, check picture below.

$\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180$

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3 years ago

The date of death for a widow was 2019. If the estate was valued at $2,186,000 and the estate was taxed at 40 percent, what was

Airida [17]

Answer:

Value of tax liability will be zero

Step-by-step explanation:

Given:

Total estate value = $2,186,000

Estate tax = 40 %

Find:

Heir's tax liability = ?

Computation:

Total taxable estate = Total estate value - Estate Exemption

Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption is 11.4 million.

We know that Estate Exemption is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.

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3 years ago

Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Cons

Lynna [10]

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: $y = 5x+37$

Step-by-step explanation:

Given equation of line is:

$y=5x-3$

The general form of equation of line in slope-intercept form is written as:

$y = mx+b$

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

$y = m_1x+b$

$y=5x+b$

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

$-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37$

Putting the value of b and m1, we get

$y = 5x+37$

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: $y = 5x+37$

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3 years ago

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Alexxandr [17]

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3 years ago

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