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3 years ago

PLEASE HURRY AND HELP ...

Mathematics

1 answer:

Nonamiya [84]3 years ago

8 0

Answer:

Volume= 35.257

Step-by-step explanation:

∙ x V cylinder = π r 2 h

here diameter = 3.25 ⇒ radius = 1.625 ⇒ volume = π × ( 1.625 ) 2 × 4.25× × × × ≈ 35.257 cubic inches

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In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each

Rudiy27

Answer:

$N(t) = 972(1.015)^{t}$

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

$N(t) = N(0)(1+r)^{t}$

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that $N(0) = 972$

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that $r = 0.015$

Then

$N(t) = N(0)(1+r)^{t}$

$N(t) = 972(1+0.015)^{t}$

$N(t) = 972(1.015)^{t}$

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

$N(t) = 972(1.015)^{t}$

$N(12) = 972(1.015)^{12}$

$N(12) = 1162$

The number of students enrolled in 2014 is 1162.

7 0

2 years ago

Please it's urgent I really need answers

WITCHER [35]

(c)

We notice that they already have common denominators, therefore we can just add the numerators up.

(x+y+x-y)/2xy=

2x/2xy

Dividing both top and bottom by 2x, we get

-Hunter

5 0

2 years ago

Read 2 more answers

The sum of two numbers is 21. the second number is six times the first number.

Tamiku [17]

Answer:

Therefore first number is 3 and second number is 18

Step-by-step explanation:

Sum of the two numbers is 21 and Second number is six times the first number

x+6x = 21

7x = 21

x = 21/7

x = 3

substitute x value in 6x to find second number,

= 6x

= 6*3

= 18

8 0

2 years ago

The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?

Mkey [24]

Question:

The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?

—————

Solution:

Call those two angles x and y, where x is the larger one.

If they are complementary, then their sum equals 90°:

x + y = 90° (i)

Also, the ratio between x and y is 3 : 2, so

x 3
—— = ——
y 2

Product of the extremes = product of the means:

2x = 3y

2x – 3y = 0 (ii)

Now, just solve this system of equations:

x + y = 90° (i)
2x – 3y = 0 (ii)

Solve it with elimination. Since you want to know the value of the larger angle, which is x, then eliminate the variable y by doing the following:

Multiply the equation (i) by 3,

3x + 3y = 270° (iii)
2x – 3y = 0 (ii)

then add both equations, so you cancel out the variable y:

3x + 2x + 3y – 3y = 270° + 0

3x + 2x = 270°

5x = 270°

 270°
x = ———
 5

x = 54° <——— this is the measure of the larger angle.

I hope this helps. =)

Tags: system of linear equations elimination method solve complementary angles algebra geometry

3 0

2 years ago

What is the mean of the data set in the box below? -8, -6, - 2, 0, -6, - 8. 4, 7, 8, 1

Andreas93 [3]

The mean of the data set in the box below is -1

3 0

3 years ago