Which angle pairs in the diagram are supplementary angles? Check all that apply.

The density of salt is 80 pounds per cubic foot (lb/ft3). 1 pound (lb) is approximately 0.4536 kilogram (kg). 1 cubic foot (ft3)

Leto [7]

Answer: Density = 1,282.26 kg/m^3

Step-by-step explanation:

Density = 80 lb/ft^3

We know that:

1lb = 0.4536 kg.

1ft^3 = 0.0283 m^3

then we can write:

1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

we can multiply our equation by this, and it wont be affected, then we have:

Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

Density = 1,282.26 kg/m^3

6 0

2 years ago

What is the value of this expression?

solmaris [256]

$\frac{11}{12}-\frac{1}{3} +\frac{2}{6} = \frac{11}{12}-\frac{1}{3} +\frac{1}{3} =\frac{11}{12}$

Answer: 11/12

Ok done. Thank to me :>

4 0

1 year ago

Please help me with the below question.

tresset_1 [31]

We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

<h3>How to determinate the limit in a piecewise function</h3>

In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.

According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

To learn more on piecewise function: brainly.com/question/12561612

#SPJ1

8 0

1 year ago

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.32 cents per

Sedaia [141]

Answer:

$y(x) = 0.0732x + 17.32$

Step-by-step explanation:

The equation for the monthly charge has the following format

$y(x) = ax + b$

In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.

Base charge of $17.32 per month.

This means that $b = 17.32$

charge of 7.32 cents per kilowatt-hour

Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is $a = 0.0732$

Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.

$y(x) = ax + b$

$y(x) = 0.0732x + 17.32$

6 0

2 years ago

kendrick deposits twice as much money into his account as he did the day before his initial deposit is 5 dollars write an equati

Ulleksa [173]

To represent this scenario, you will look at what is happening mathematically and represent it.

Beginning with 5, this will double each day, so 5 x 2 is the deposit.

Then, this amount will double, so (5 x 2) x 2 is the deposit.

Next this will double, and so on.

What is happening is that it is always doubling the previous day's deposit, so x 2 x 2 x 2, etc... you will use exponents to show the number of days that it doubled.

y = 5 x 2^x

8 0

3 years ago