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3 years ago

The radius of a cone is 10 units and the height is 5 units. What is the volume?

Mathematics

1 answer:

kumpel [21]3 years ago

3 0

Answer:

523.6

Step-by-step explanation:

V=πr^2(h/3)=π*10^2*(5/3)=523.59878

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(15P) PLEASE HELP ME ASAP NEED HELP!

olya-2409 [2.1K]

Answer:

x=7

y=2

Step-by-step explanation:

10 + 2x = -2y ➡y = -5-x

replace y with -5-x in the first equation

-5-x-x = 9➡ -2x-5 = 9 ➡-2x = 9+5 ➡ x = -7

now use this information to find value of y

y - (-7)=9 ➡y = 2

7 0

3 years ago

The Punic Wars began in 264 B.C. and ended in 146 B.C. How long did the Punic Wars last??

pishuonlain [190]

Answer:

The first two wars were long—23 years and 17 years, separated by an interval of 23 years. The third war lasted nearly three years. It started 52 years after the end of the second war. All three wars were won by Rome, which subsequently emerged as the greatest military power in the Mediterranean Sea.

Step-by-step explanation:

4 0

3 years ago

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Which statement is true regarding the graphed functions?

xenn [34]

Answer:

Step-by-step explanation:

because I mean u have to no what's a function and what's not a function is when the lines don't touch and a non function is when that do

5 0

2 years ago

Read 2 more answers

8.75 x 10 ^3 in standard form

Sveta_85 [38]

Answer:

8.75×10^3

Step-by-step explanation:

here is the answer

6 0

3 years ago

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

3 years ago