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astra-53 [7]
2 years ago
8

What is the volume of the cone to the nearest whole number?HELP PLZ

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
4 0

Answer:

167.467mm^3

Step-by-step explanation:

Volume of cone:1/3hpir^2

1/3(10)(pi)(4)^2

=160/3(pi)

(Pi=3.14)

160/3pi=167.467mm^3

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Gary just started a new job as a nurse. he is given a starting salary of $58,550 per year. he is also told that his salary will
IRINA_888 [86]

Firts we need to find the rate of change, or in other words, the slope of the line.

Question 1:

a)

For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)

The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)

b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:

\begin{gathered} \begin{cases}A(x_a,y_a) \\ B(x_b,y_b)\end{cases} \\ m=\frac{y_a-y_b}{x_a-x_b} \end{gathered}

In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:

m=\frac{58,550-71,950}{0-10}=\frac{-13400}{-10}=1340

c) "The rate of change in Gary's salary is $1340 per year."

Question 2:

a) The slope intercept form of a line is:

y-y_1=m(x_{}-x_1)

Where:

y is the output of the function.

x is the input of the function. (we provide the function with a value for x and the function give us a value of y)

m is the slope of the line. We calculate it in question 1.

x1 is the x coordinate of a point we choose.

y1 is the y-coordinate of the same point of x1.

In this case, we know:

m = 1340;

And we can take the point (0, $58,550), thus:

x1 = 0

y1 = 58,550

b) Now we need to use all this values and use the slope-intercept form:

y-58,550=1340(x-0)

And solve to get:

y=1340x+58,550

Question 3:

a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:

\begin{gathered} \begin{cases}y=1340x+58,550 \\ x=13\end{cases} \\ y=1340\cdot13+58,550 \\ y=75,970 \end{gathered}

B) The salary of Gary in 13 years will be $75,970.

6 0
1 year ago
Use the grouping method to factor the polynomial in the box completely.
kvv77 [185]
5x^4(x^3+8x+6) this is the correct answer
6 0
3 years ago
Find the area of a regular decagon with a 12.3 in, apothem and 8 in. sides.
EleoNora [17]

Answer:

C

Step-by-step explanation:

The area (A) of a regular decagon is

A = \frac{1}{2} perimeter × apothem

perimeter = 10 × 8 = 80 in, thus

A = 0.5 × 80 × 12.3 = 492 in² → D

8 0
3 years ago
Which expression is equal to 2.5 + (2.5+3.5
aleksandr82 [10.1K]

Answer:

Where are the choices

Step-by-step explanation:

4 0
2 years ago
In n + 10 =40, then what is the value of the expression n - 25?
damaskus [11]
Find n first.


n+10= 40

Subtract 10.

n= 30

Plug in n.

30-25= 5

The answer is 5.

I hope this helps!
~cupcake
8 0
3 years ago
Read 2 more answers
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