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4 years ago

Express the area of a rectangle with length 7ab and width 2a as a monomial.

1 answer:

5 0

Area of a rectangle is length * width.

7ab * 2a is the same as 7(2) * a(a) * b

7 * 2 = 14
a * a = a²
b = b

Put it all together.

14a²b is your monomial.

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A parking lot has three colors of cars parked in it. There are 120 white cars parked in the lot. There are 80 more red cars park

ElenaW [278]

The ratio should be 3:5:2

4 0

2 years ago

An airport is studying the noise levels of jets during takeoff as they pass over a neighborhood. They find that at the present t

avanturin [10]

Answer: 2.28%

Step-by-step explanation:

Given: An airport find that at the present time, the mean noise level is 103 decibels and the standard deviation is 5.4 decibels.

The distribution of noise levels(x) for all jets during takeoff over the neighborhood has a normal distribution.

The probability that jets have a noise level less than 92.2 decibels when taking off over this neighborhood will be :-

$P(X$

Hence, the percent of these jets have a noise level less than 92.2 decibels when taking off over this neighborhood = 2.28%

6 0

3 years ago

Select the correct answer.

iris [78.8K]

The future value of $1,000 invested at 8% compounded semiannually for five years is $\bold{\$ 1,480}$

<u>Solution:</u>

$\bold{A = P (1 + i )^{n}}$ ----------- equation 1

A = future value

P= principal amount

i = interest rate

n = number of times money is compounded

P = 1000

i = 8 %

$\mathrm{n} = \text { compounding period } \times \text {number of years}$

(Compounding period for semi annually = 2)

$\mathrm{n} = \text { compounding period } \times \text {number of years}$

Dividing “i” by compounding period

$i = \frac{8 \%}{2} = 0.04$

Solving for future value using equation 1

$\begin{array}{l}{A = 1000(1 + 0.04)^{10}} \\\\ {=1000 (1.04)^{10}}\end{array}$

$= 1480.2$

$\approx 1,480 \$$

3 0

3 years ago

if you are picking a number 1-20 what is the probability that you will pick an even number or multiple of three

natulia [17]

Answer:

1/2

Step-by-step explanation:

3 0

3 years ago

Grissom draws different sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the l

grigory [225]

Answer:

The independent quantity in the situation is the length of the diameter.

Step-by-step explanation:

Consider a relationship between two variables.

Of the two variables one variable is dependent upon the other.

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.

In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.

With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.

That is the volume of the sphere depends upon the length of its diameter.

Thus, the independent quantity in the situation is the length of the diameter.

4 0

3 years ago