If a cylinder shaped container has a radius of 30 cm and a height of 100 centimeters and a glass sphere with a radius of 12 CM is placed inside the cylinder shaped container and then the container is completely filled with water what is the approximate volume of water contained in the cylinder

Answers

Answer 1

Answer: 275,365 cm3
That's what i got

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buatlah matriks yang terdiri atas 5 baris dan 3 kolom dengan entrinya adalah 15 bilangan prima yang pertama

Answers

$A = \left[\begin{array}{ccccc}2&3&5\n7&11&13\n17&19&23\n29&31&37\n41&43&47\end{array}\right] \n \n \n \n A^T = \left[\begin{array}{ccccc}2&7&17&29&41\n3&11&19&31&43\n5&13&23&37&47\end{array}\right]$

What values of x make the equation x^2 + 9x – 22 = 0 true? Check all that apply.–11

–2

0

2

11

Answers

If you would like to solve the equation x^2 + 9x - 22 = 0, you can do this using the following steps:

x^2 + 9x - 22 = 0
(x - 2) * (x + 11) = 0
1. x = 2
2. x = - 11

The correct result would be x = 2 and x = - 11.

Answer:

x = 2 , - 11.

Step-by-step explanation:

Given : x² + 9x – 22 = 0

To find : What values of x make the equation.

Solution : we have given x² + 9x – 22 = 0

On factoring

x² + 11x - 2x – 22 = 0 .

Taking common x from first two term and -2 from last two terms.

x ( x +11) - 2 (x +11) = 0.

On grouping

(x -2) (x +11) = 0

For

x - 2 =0

x = 2 .

For

x + 11 = 0

x = -11.

Therefore, x = 2 , - 11.

A) show that $n(2n + 1)(7n + 1)$ is divisible by 6 for all integers $n$.b.find all integers $n$ such that $n(2n + 1)(7n + 1)$ is divisible by 12.

Answers

Hi,

A)
$(n(2n+1)(7n+1))/(6) \n= (14n^3+9n^2+n)/(6) \n= (12n^3+6n^2)/(6) + (2n^3+3n^2+n)/(6) \n=2n^3+n^2+ (n(2n^2+3n+1))/(6) \n= 2n^3+n^2+ (n(n+1)(2n+1))/(6) \n= 2n^3+n^2+ 1^2+2^2+3^2+...+n^2\ is\ an\ integer.$

B)
Only if n=4*k or n=4*k+1 , k beeing an integer.

Jerome takes a math course and a science course for summer school. For every 5 hours Jerome spends studying math, he studies science for 4 hours. If Jerome spent a total of 54 hours studying last week, then how long did he study math?

Answers

Answer:

Jerome spent $30$ hours studying mathematics

Step-by-step explanation:

We were given that every 5 hours Jerome spends studying math. he studies science for 4 hours.

The ratio of Mathematics to Science is

$5:4$ respectively.

The total ratio is $5+4=9$ .

If Jerome spent a total of $54$ hours studying last week, then the number of hours he spent studying mathematics is

$=(5)/(9)* 54$ .

$=(5)/(1)* 6$ .

$=30$ hours.

Answer:

$y= (54*4)/(9)=24$

And then we can solve for x like this:

$x = (5*24)/(4)=30$

And the final solution would be 30 hours for math and 24 for the science course.

Step-by-step explanation:

We need to define some notation first. Let

x= number of hours that he spent for the math course

y = number of hours that he spent for th science course

We have that the total of hours is 54, and we can write that like this:

$x+ y = 54$ (1)

And the other conditions is: " For every 5 hours Jerome spends studying math, he studies science for 4 hours" And we can write this like that:

$(x)/(y)=(5)/(4)$

And we can solve for x like this:

$x = (5y)/(4)$

And we can replace this into equation (1) and we got:

$(5y)/(4) + y = 54$

And if we do the algebra we got:

$(9y)/(4) =54$

$y= (54*4)/(9)=24$

And then we can solve for x like this:

$x = (5*24)/(4)=30$

And the final solution would be 30 hours for math and 24 for the science course.

Help me factor the trinomial completely

-r^2+6r-9

Answers

-r^2+6r-9 = - ( r^2 - 6r + 9) = - ( r - 3)^2;

Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales increase last year? What percentage did sales decrease this year?

Answers

Last year it was a 100% increase while this year it is a 50% decrease.

Answer:

100 in

50 de

Step-by-step explanation:

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Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to increase daily sales. To determine the effectiveness of the advertising campaign, a sample of 49 days of sales were taken. They found that the average daily sales were $6,300 per day. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice A. Reject the null hypothesis and conclude that the mean is equal to $6,000 per day. B. Fail to reject the null hypothesis. C. Reject the null hypothesis and conclude the mean is lower than $6,000 per day. D. Reject the null hypothesis and conclude the mean is higher than $6,000 per day.

Which of the following is the graph of 2x + 3y = 6?