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AURORKA [14]
3 years ago
5

PLEASEEEEEEE HELP ME!!!

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Answer:

125π km³

Step-by-step explanation:

We are to find the Volume of a cylinder

From the question:

Height of the cylinder = 5km

Radius of the cylinder = 5 km

The volume of a cylinder =

πr² h

Hence:

π × 5² × 5

= 125π km³

The volume of the cylinder = 125π km³

Option d is the correct option

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X=5 then x + 6 <br><br> Pls help
serious [3.7K]

Answer:

11

Step-by-step explanation:

5+6 11

7 0
3 years ago
Read 2 more answers
There are 1,000 residents of a town in Year 1. That number increases by 1% each year.
S_A_V [24]

Answer:

Part A) y=1,000(1.01^{x})

Part B) 1,105\ persons

Step-by-step explanation:

Part A) What is the explicit rule for the number of residents

we know that

In this problem we have a exponential function of the form

y=a(b^{x})

where

a is the initial value

b is the base

r is the rate

(1+r)=b

so

Let

y ----> the number of residents

x is the time in years

we have

a=1,000 residents

r=1%=0.01

b=(1+0.01)=1.01

substitute

y=1,000(1.01^{x})

Part B) How many residents will there be in the town in Year 10?

For x=10 years

substitute in the equation

y=1,000(1.01^{10})

y=1,105\ persons

6 0
3 years ago
Read 2 more answers
Consider the surface given by
Mazyrski [523]
This is just simple. For example you have a plane of the form x=a, then you just substitute x with a, and you'll get an equation with y and z only, hence you have a 2-d trace of the intersection. It is just similar for y=b and z=c.

(1) At z=1.5, 2x^2 + 5y^2 + 1.5^2 = 4 
    2x^2 + 5y^2 = 1.75
    Now you have an ellipse in the z=1.5 plane as your trace.

(2) At x=1, 2(1)^2 + 5y^2 + z^2 = 4
    5y^2 + z^2 = 2
    Now you have an ellipse in the x=1 plane as your trace.


(3) At z=0, 2x^2 + 5y^2 + (0)^2 = 4
    2x^2 + 5y^2 = 4
    Now you have an ellipse in the z=0 plane as your trace.

(4) At y=0, 2x^2 + 5(0)^2 + z^2 = 4
    2x^2 + z^2 = 4
    Now you have an ellipse in the y=0 plane as your trace.


5 0
4 years ago
Here's a graph of a linear function. Write the
svp [43]

First you need to find the y-intercept, which is y = -1

Next is we need to find the slope of the line > you are going to have to do this by finding to clear point

The ones that I will be using are: (3, 1); (6, 3)   (You could take any points)

Now using the slope formula we could find m.

m = y2-y1 / x2-x1

(1 - 3) / (3 - 6) = m

-2 / -3 = m

m = 2/3

Using the linear function format: y = mx + b

Therefore the equation of the line is y = 2x/3 -1

8 0
3 years ago
The table displays the frequency of scores for a calculus class on an exam. The mean of the exam scores is 3.5. Score 1 2 3 4 5
vladimir1956 [14]

Answer:

f=11

Mode=4

Median=4

Explanation:

We are given that

a.Mean of the exam score,\bar x=3.5

Score(x)   frequency   C.F

1                  1                 1

2                  3                4

3                  f                 15(4+f=4+11)

4                  13               28

5                   4               32

\sum f_i=1+3+f+13+4=21+f

\sum f_ix_i=1(1)+2(3)+3(f)+4(13)+5(4)=1+6+3f+52+20=79+3f

(\bar x)=\frac{\sum f_ix_i}{\sum f_i}

Using the formula

3.5=\frac{79+3f}{21+f}

73.5+3.5f=79+3f

3.5f-3f=79-73.5

0.5f=5.5

f=\frac{5.5}{0.5}=11

b.Mode:The number which is repeat most times .

4 repeat most times

Hence, mode of all exam scores=4

N=32

N is even

Median=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}

Median=\frac{16th+17th}{2}=\frac{4+4}{2}=\frac{8}{2}=4

7 0
3 years ago
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