What is the quotient of 7670 and 94

[tex]\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}[/tex]

We will calculate the unit conversion factor used to convert its engine displacement from cubic-centimeters to cubic-inches.

The relationships between inch and cm are as follows:

[tex]\boxed{ \ 1 \ inch = 2.54 \ cm\ }[/tex]

Inches and cm represent units of length.

Made into fractions, 1 inch as the denominator and 2.54 cm as the numerator.

[tex]\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }[/tex]

As a unit conversion factor of volume, the numerator and the denominator in cubic.

[tex]\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }[/tex]

[tex]\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }[/tex]

Thus, we get the unit conversion factor

[tex]\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}[/tex]

Let's use this unit conversion factor to calculate its engine displacement in new units.

[tex]\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}[/tex]

Note for cm³ units that have been crossed out.

The conversion result is [tex] \ \boxed{ \ 63.623 \ inch^3\ }[/tex]

Keywords: the motorcycle engine, Kawasaki Ninja 1000, 1043 cubic-centimeters (cm³), to calculate, its engine displacement, in cubic-inches (in³), what unit conversion factor

Answer: There are 21 layers of blocks.

Step-by-step explanation:

Since we have given that

Number of blocks in a box = 1344

Number of blocks in each layer = 64

We need to find the number of layer of blocks.

So, the number of layer of blocks is given by

[tex]\dfrac{1344}{64}\\\\=21[/tex]

Hence, there are 21 layers of blocks.

answer is C 1/4

 see attached picture, it is not exact but with rounding it comes out correct.

Answer:

D. $455.80

Step-by-step explanation:

True Balance = Bank Statement - Outstanding Checks

= $592.53 - ($49.80 + $86.93)

= $455.80

Answer:

The unit price is $1.85

Step-by-step explanation:

Janae bought a roll of wallpaper that cost = $25.90

Each roll is of = 14 square feet

Cost per square feet = [tex]\frac{25.90}{14}[/tex] = $1.85

The unit price is $1.85

Answer:

-i

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex]

[tex]i^{2}[/tex] = - 1

Every [tex]i^{x}[/tex] will be equal to -1, when n is even.

Break apart [tex]i^{39}[/tex] into ([tex]i^{38}[/tex])([tex]i^{1}[/tex])

Since 38 is even, [tex]i^{38}[/tex] will be equal to -1

-1*([tex]i^{1}[/tex]) = -i

To simplify i^39, we must use the cyclical pattern of i's powers, which repeats every four. i^39 simplifies to i^3, which is equal to -i.

To simplify the complex number i^39, we should recognize the cycle of powers of i. Since i represents the square root of -1, the powers of i cycle every four powers:

To find the equivalent of i^39, we can divide 39 by 4 to get a quotient and a remainder: 39 divided by 4 is 9 with a remainder of 3. This means that i^39 is equivalent to i^3, which is -i.

n standard form, we express it without using scientific notation, so [tex]1.2\times10^{-2}[/tex] becomes 0.012.

We have,

In scientific notation, a number is expressed as the product of a coefficient between 1 and 10 and a power of 10.

Given [tex]1.2\times10^{-2}[/tex],

We can rewrite it by moving the decimal point two places to the left to obtain 0.012.

The coefficient 0.012 is between 0.01 and 0.1, which is equivalent to 1/100 or 1 divided by 10 raised to the power of 2.

Thus, we can write it as 1.2 multiplied by 10 raised to the power of -2.

Thus,

In standard form, we express it without using scientific notation, so [tex]1.2\times10^{-2}[/tex] becomes 0.012.

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A. f(-5) = -(-5)^2-4(-5)+4 = -1

  f(5) = -(5)^2-4(5)+4 = -41

-1 + -41 = -42

B. -1 - -41 = 40

The question asked is related to probability, which is a topic in Mathematics. After calculating the probability of selecting a good quart of milk four times in a row (considering that the quantity decreases each time a good quart is selected), the probability equates approximately to 0.3 or 30%.

The given question is a statistical problem related to probability and involves the concept of independent events. In this case, each quart of milk being good or spoiled is an independent event, meaning the outcome of one event doesn't affect the other.

In the cooler, there are 20 quarts of milk in total, 15 of which are good (20 - 5 spoilt quarts equals 15 good ones). Hence, the probability of selecting a good quart of milk at first is 15/20, or 0.75.

After removing one good quart, there are now 14 good quarts out of 19. Hence, the probability of drawing a second good quart is 14/19. We can calculate the probabilities for the third and fourth quarts in the same way, resulting in 13/18 and 12/17 respectively.

Since these are independent events, the probability of all these events happening is the product of their individual probabilities. Therefore, the answer is 0.75* (14/19)* (13/18)* (12/17), which is approximately 0.3 or 30%.

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One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. The total number of employees working for the company is 1260.

If one fifth of the employees of Delta Industries, Inc. work in the Southeastern region, and there are 252 workers in that region, we can find the total number of employees by multiplying 252 by 5.

5 times 252 equals 1260. Therefore, the total number of employees working for the company is 1260.

Answer:

I just had to do this problem and,

B is (10, -4) and D is (58/9, -2)

Step-by-step explanation:

In the given equation of the provided problem, the solution for A is A =  [tex]\frac{R - xB}{x}[/tex].

Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.

To solve for A in each of the given equations, we'll isolate the variable A on one side of the equation. Let's go through each equation:

R = x(A + B)

To solve for A, we'll start by expanding the expression on the right side:

R = xA + xB

R - xB = xA

Divide both sides of the equation by x to solve for A:

A = [tex]\frac{R - xB}{x}[/tex].

Therefore, the solution for A is A =  [tex]\frac{R - xB}{x}[/tex].

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