We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.

Answer:

Step-by-step explanation:

To make this easier we are going to make a table and fill it in with the pertinent information. That's the first step; the second one is figuring out how to use the information in the table to come to some sort of a viable and reasonable (and hopefully correct) answer. The table will look like this:

                     d        =        r        *        t

Car 1

Car 2

What we know first off is that the time in question, the IMPORTANT time is 9 hours. That they left at the same time doesn't give us any numbers to put into our table or any useful information. We are looking at what happens at 9 hours. So that's what goes into the t column:

                    d        =        r        *        t

Car 1                                                   9

Car 2                                                  9

What we are then told is that after this 9 hours they are a certain distance apart. We'll come back to that. One car is traveling 10 km/h slower than the other, but since we don't know what the rate of the other car is either, they are both unknown. And it just so happens that this the information we are asked to solve for.

                  d        =         r        *       t

Car 1                                r        *       9

Car 2                           r - 10     *       9

Now, since d = rt, we multiply the rate times the time and fill in the distance each has gone in 9 hours:

               d        =        r        *        t

Car 1       9r       =        r        *       9

Car 2   9r - 90  =     r - 10     *       9

The distance between these 2 cars after that 9 hours is 910 km, therefore:

distance that car 1 traveled + distance that car 2 traveled = 910 km:

9r + 9r - 90 = 910 and

18r - 90 = 910 and

18r = 1000 so

r = 55.56 km/hr

and the other car is going 10 km/hr slower at 45.56 km/hr

Answer:

4 = -8 - x

4 + 8 = -8 + 8 -x

12 = -x

x = -12

So, -12 is the answer.

Let  me know if this helps!

Answer:

15

Step-by-step explanation:

g(3)=(3)^2-2=7

f(g(3))=f(7)=2*7+1=15

Answer:

9?

Step-by-step explanation:

f(3*2-2)

=4

then

2*4+1

=9 is the answer

Answer:

1x>6-11

1x>-5

1x<-5

1 <1

x<-5/1

x<-5

Red Candy = 5

Green Candy = 6

Blue Candy = 11

Total Candies = 22

Probability = Possible Outcomes/Total Outcomes

Red + Green = 11

Total outcomes = 22

Probability = 11/22

= 1/2

Must click thanks and mark brainliest

There is 6.19% chance of drawing a red and green candy from the bowl.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. In this case, we are interested in finding the probability of drawing a piece of red and green candy from a bowl containing red, green, and blue candies. To calculate this probability, we will use the concept of independent events and the formula for probability.

We have a bowl with a total of 5 red candies, 6 green candies, and 11 blue candies. The total number of candies in the bowl is 5 + 6 + 11 = 22.

We are drawing two candies from the bowl, and after each draw, we replace the candy back into the bowl. This means that the number of candies remains the same for each draw.

To calculate the probability of drawing a red and green candy, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The number of favorable outcomes is the number of ways we can draw one red candy and one green candy.

We can draw a red candy in 5 ways (since there are 5 red candies), and we can draw a green candy in 6 ways (since there are 6 green candies). Therefore, the number of favorable outcomes is 5 * 6 = 30.

The total number of possible outcomes is the total number of ways we can draw two candies from the bowl. Since we are replacing the candies after each draw, the total number of possible outcomes for each draw is equal to the total number of candies in the bowl, which is 22. Since we have two draws, the total number of possible outcomes is 22 * 22 = 484.

Now, we can calculate the probability of drawing a red and green candy by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 30 / 484

Probability ≈ 0.0619

Therefore, the probability of drawing a piece of red and green candy from the bowl is approximately 0.0619 or 6.19%.

To know more about Probability here

https://brainly.com/question/13102278

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Three million three hundred eighty-eight thousand one hundred ninety-eight - 3388198

Answer:

40 days

Step-by-step explanation:

w1*h1*d1=w2*h2*d

15*8*20=10*6*d

2400=60d

d=2400/60

d=40

Answer:

d = 19/5 or, 4.75 in decimal form

Step-by-step explanation:

Answer:

[tex]-5x^2-5x[/tex]

Step-by-step explanation:

[tex]-5x\left(x+1\right)\\\\-5x\left(x+1\right)=-5xx-5x\cdot \:1\\\\=-5xx-5x\cdot \:1\\\\=-5x^2-5x[/tex]

Answer:

-5x^2 -5x

Step-by-step explanation:

-5x(x+1)

Distribute

-5x*x  +-5x*1

-5x^2 -5x

Answer:

37

Step-by-step explanation:

tan(theta)=perpendicular/base

tan(theta)=3/4

theta=arctan(3/4)=37

Answer:

37°

Step-by-step explanation:

for this question you have to use the tan ratio since the opposite of that angle has been given as 3 and the adjacent has also been given which is 4..I will represent the unknown angle using x so,

tan x=opposite/adjacent

tanx=3/4

tanx=0.75

x=tan inverse of 0.75

x=36.9 or 37°

I hope this helps

Answer:

s=650

Step-by-step explanation:

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]

s=20/2(2x4+19x3)

s=20/2(8+57)

s=20/2x65

s=10x65

s=650

Answer:

s=650

Step-by-step explanation:

Sum of 'n' terms formula is given by:-    

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]  

s=20/2(2x4+19x3)  

s=20/2(8+57)  

s=20/2x65  

s=10x65  

s=650

Answer:

565656÷8=p

So the answer is 637:D

Answer:

y = 6/5x - 2

Step-by-step explanation:

First we need to put the equation given in slope intercept form, y = mx + b

6x - 5y = 5

Solve for y

6x - 5y = 5

Subtract 6x from both sides

-5y = -6x + 5

Divide both sides by -5

y = 6/5x - 1

Now we have the equation in slope intercept form

y = 6/5x - 1

We want to find the equation that would be parallel to it

Parallel lines have the same slope

The equation y = 6/5x - 1 has a slope of 6/5 so an equation that is parallel to it would also have a slope of 6/5

The only equation that has a slope of 6/5 is the top left one therefore that is the answer

Answer:

y = 6/5x - 2

Step-by-step explanation:

Simplify the given equation:

[tex]6x-5y=5\\-5y=-6x+5\\y=\frac{6}{5}x-1[/tex]

In order for another equation to be parallel, it must have the same slope. Therefore, y = 6/5x - 2 is the correct answer.

Answer:

1. 2.5% of 14000= 350

2. 27.5% of 1760 = 484

Answer:

(15). 363 bulbs ; (17). 484 students

Step-by-step explanation:

# 15.

2.5 % = 0.025

14,500 × 0.025 = 362.5 ≈ 363 bulbs

# 17.

[tex]\frac{22}{80}[/tex] = [tex]\frac{x}{1760}[/tex]

x = [tex]\frac{1760*22}{80}[/tex] = 484 students

Answer:

a) 450 gravel   b)1250 sand

Step-by-step explanation:

:)

Answer:

(0,-1)

(1,-5)

(2,-9)

Step-by-step explanation:

y = −4x −1

Let x=0

y = 0-1 = -1  (0,-1)

Let x = 1

y = -4(1) -1 = -4-1 =-5  (1,-5)

Let x = 2

y = -4(2) -1 = -8-1 =-9 (2,-9)

Answer:

A 0.08 kilo per min

Step-by-step explanation:

This morning, Sam walked 4 kilometers in 50 minutes. At what rate did Sam walk?

Use the formula r = StartFraction d Over t EndFraction, where r is the rate, d is the distance, and t is the time,

0.08 kilometers per minute

12.5 kilometers per minute

46 kilometers per minute

200 kilometers per minute

Answer:

2/(a-4b) is the required ans

check the attachment for help

Problem 22

You have the correct answer since there are 9 non-white socks out of 15 total.

========================================================

Problem 23

------------------------

Explanation:

We have 10 blue marbles and 10+4+5+6 = 14+11 = 25 marbles total

This means there are 25-10 = 15 non-blue marbles.

The probability of selecting a non-blue marble is 15/25. I won't reduce this as we'll use this fraction to set up the next probability.

Because the marble is not replaced, this means we go from 15 non-blue marbles to 15-1 = 14 non-blue marbles. We also go from 25 total marbles to 25-1 = 24 total.

In short, the fraction 15/25 turns into 14/24 after subtracting 1 from each part.

--------------

Let's reduce each fraction mentioned

15/25 = (3*5)/(5*5) = 3/5

14/24 = (2*7)/(2*12) = 7/12

Then we'll multiply the two reduced fractions

(3/5)*(7/12) = (3*7)/(5*12) = 21/60

Lastly, we'll reduce that result

21/60 = (3*7)/(3*20) = 7/20

The probability of selecting two marbles that aren't blue is 7/20. This is done without replacement.

--------------

As a shortcut, we could say:

(15/25)*(14/24) = 7/20

Answer:

(8)

(9)

(10)

(11)

(12)

Answer:

[tex]1.1*10^{-11}[/tex]

I used a calculator.

Answer:

[tex]1.1*10^{-11}[/tex]

Step-by-step explanation:

0.000010*0.00055*0.002= 1.1*10^-11 or basically 0.

Answer:

CSA is 12.57

TSA is 18.85 .. i dont know what the question is asking..

I will recommend you to use TSA

Answer:

19ft

Step-by-step explanation:

Formula for surface area of the cylinder=2πr(r+h)

We have,

h=2ft

d=2ft

r=d/2=2/2=1ft

Now,

2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215

Rounding to the nearest tenth,

We get Surface area of the cylinder=19 ft

Answer:

[tex](x,y) = ( 5 , - 7)[/tex]

Step-by-step explanation:

we would like to solve the following system of linear equation by substitution:

[tex] \displaystyle \begin{cases} y = x - 12\\ 8x + 8y = - 16\end{cases}[/tex]

notice that, we're already given the value of y therefore simply substitute it to the II equation

[tex]8x + 8(x - 12) = - 16[/tex]

distribute:

[tex]8x + 8x - 96= - 16[/tex]

simplify addition:

[tex]16 x- 96= - 16[/tex]

isolate -96 to left hand side and change its sign:

[tex]16 x= - 16 + 96[/tex]

simplify addition:

[tex]16 x= 80[/tex]

divide both sides by 16 and that yields:

[tex] \boxed{x= 5}[/tex]

now substitute the got value of x to the first equation:

[tex]y = 5- 12[/tex]

simplify subtraction:

[tex]y = - 7[/tex]

hence,

the solution is (x,y)=(5,-7)

Solve by substitution :

y = x - 12

8x + 8y = -16

y = x - 12 ------- eq(1)

8x + 8y = -16 ------- eq(2)

Finding x ⤵

Putting y = x - 12 in eq(2) we get

Finding y ⤵

Putting x = 5 in eq(1) we get

Hence, x is 5 and y is -7

Answer: 79

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

10x² - 7x + 10

x = 3

Substitute the value into the expression

= 10 (3)² - 7 (3) + 10

Simplify by multiplication

= 10 (9) - 21 + 10

= 90 - 21 + 10

Simplify by subtraction

= 69 + 10

Simplify by addition

= 79

Hope this helps!! :)

Please let me know if you have any questions

Answer:

92

Step-by-step explanation:

The variable 'x' shows up twice in this expression.  Replace each instance of 'x' with 3:

10(3)^2 - 7(3) + 10  =  10(9) - 21 + 19  =  92

Answer:

heyy matee...

going according to given parameters

let 2 numbers be x and y

so atq =>

3x + y = 142 => y = 142 - 3x

and 4x - y = 148

4x - ( 142 - 3x ) = 138

4x - 142 + 3x = 138

7x = 280

x = 40

now y = 142 - 3(40) = 142 - 120 = 22

so x = 40 and y = 22

Answer:

Hope so, it helped you.

Step-by-step explanation:

For solving the equation i elimanated y by adding both the equation.

Answer:

40

Step-by-step explanation:

210-x=50×2

or, 210-x=100

or, x=210-100

or, x=110

so,

z = 360-210-110

or, z = 40

Answer:

45

Step-by-step explanation:

9, 13, 17, 21, 25

We are adding 4 each time

9+4 = 13

13+4 =17

17+4 = 21

The common difference =4

a1 = 9

The formula is

an = a1+d(n-1) where n is the term number

an = 9+4(n-1)

We want the 10th term

a10 = 9+4(10-1)

     = 9+4(9)

    = 9+36

   = 45

Answer:

Rs.6420

Step-by-step explanation:

we know that A=P(1+r/100)

7488=P(1+8/100)2

7488*10000/108*108=P

P=Rs.6420

Answer:

Principal=Rs.45000 ; And Amount=Rs.52488.

Step-by-step explanation:

For finding Principal i used the formula:[ x(1+8/100)^2-x] =C.I ( where x = P)

And for Amount : Sum of principal and interest.

Hope so, you liked my solution.

Answer:

Square

Step-by-step explanation:

It got 4 sides like square and its form is looking like a square.

Answer:

the answer is 5 for blank

Step-by-step explanation:

30=6×blank

blank = 30÷6

blank= 5