MATHEMATICS HIGH SCHOOL

The volume of a cylinder with a base diameter of 15 centimeters is about 402 cubic centimeters. whats the Height?

Answers

Answer 1
Answer: volume of cylinder=area of base times height
area of base=pi times radius^2
diameter=2radius
diameter/2=radius
diameter=15
15/2=radius
7.5=radius

pi=aprox 3.14
3.14 times 7.5^2
3.14 times 56.25
176.625 times height=402
divide both sides by 176.625
height=2.28

the height=2.28 cm

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Ms. Chang has 24 students in her class, and 6 of them are boys. What is the ratio of boys to girls?

Answers

The total number of students is 24 and the total number of boys is 6, therefore

 

Number of girls = 24 – 6 = 18

Therefore the ratio of the boys to girls is

 

Number of boys/ number of girls = 6/18 ~ 1/3

 

The ratio suggests that there is 1 boy for every 3 girls  

A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria after 7 hours? B(t)=4*e^0.8t Answers: A. 45,674 / B. 1082 / C. 270 / D. 635,818

Answers

We are given with the situation of bacteria multiplying into colonies. We are given also with the function of B(t)= 4e^0.8t where t is the time of multiplication. We just have to substiture the given time of 7 hours to find teh final count. The answer is approximately 1082. Answer is  B. 

The approximate number of bacteria after 7 hours is 1082.

We are given with the situation of bacteria multiplying into colonies.

We are given also with the function of B(t)= 4e^0.8t

where t is the time of multiplication.

What is the exponential function?

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

We just have to substitute the given time of 7 hours to find teh final count.

The answer is approximately 1082.

Therefore the correct option is  B.

To learn more about the exponential function visit:

brainly.com/question/12940982

#SPJ2

F (x) = x²-4x-5 tentukan daerah asal dan daerah hasil fungsi

Answers

I don't understand what is writing but I think the answer could be (x+1)(x-5)

Solve for n
-112 = 7n

Answers

Answer:

n= -56/3

Step-by-step explanation:

Answer:

n -112 = 7n

Step-by-step explanation:

-6n=  112

-3n=  56

n=  56/ -3

n= -56/3

Help asap please !!!

Answers

The answer is B

Step-by-step explanation:

3/4 + 1/8 =7/8

A.5/8 + 1/8 = 3/4

B.6/8 + 1/8 = 7/8

C.3/12 + 1/12 = 1/3

D.9/12 + 1/12 = 5/6

The area of a rectangle is 6x^3 – 30x^2. What is the length of the rectangle if the width is 2x(x – 5)?

Answers

x^2 + 8x +15 is the area

x+5 is the length

x+3 is the width

(x+5)(x+3)=

x^2 + 3x +5x +15

x^2 +8x + 15


Hope this helped!!!!

So since the area of a rectangle is A=bh, we just need to form our equation off of that. Our equation will look like this: l*2x(x-5)=6x^3-30x^2


Firstly, divide both sides by 2x(x-5): l=(6x^3-30x^2)/(2x(x-5))


Next, factor 6x^3-30x^2: l=(6x^2(x-5))/(2x(x-5))


Next, cancel out (x-5): l=(6x^2)/(2x)


Next, expand 6x^2: l=(3*2*x^2)/(2x)


Next, divide and your answer will be: l=3x
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