Someone help and plz make sure it’s right

Answer:

T_n = 160(0.05)^(n - 1)

At T_n = 100, n = 1 year

Step-by-step explanation:

We will use geometric progression to solve this question.

Formula for nth term of a GP is;

T_n = ar^(n - 1)

We are told the population of its high school decreases by 5% each year.

This means r = 0.05

senior class has 160 students. Thus a = 160

Thus,T_n = 160(0.05)^(n - 1)

Where n is number of years after now.

We want to find the number of years before the class will have 100 students

Thus;

160(0.05)^(n - 1) = 100

(0.05)^(n - 1) = 100/160

(n-1)In 0.05 = In (100/160)

-2.9957(n - 1) = -0.47

(n - 1) = 0.47/2.9957

n = 1 + 0.1569

n = 1.1569

Approximating to the nearest whole number gives n = 1

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

tan(x)/sec(x) = sin(x)

Hint: | Eliminate the denominator on the left hand side.

Multiply both sides by sec(x):

tan(x) = ^?sec(x) sin(x)

Hint: | Express both sides in terms of sine and cosine.

Write secant as 1/cosine and tangent as sine/cosine:

sin(x)/cos(x) = ^?1/cos(x) sin(x)

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

They are currently ranked 5.

Answer:

703.36

Step-by-step explanation:

the formula is v=b×h×pi

pi = 3.14

length: 28

base:8

So base (8) times length (28) times pi (3.14)

8×28×3.14 = 703.36

Answer: its 35

Step-by-step explanation: LxW=A 7x5=35

Answer:

35

Step-by-step explanation:

The side lengths beside the shape, count them and multiply of of those numbers.

A = lw

A = 5×7

A =35

Answer:4 cm

Step-by-step explanation:

You would do 9cm - 5cm

Answer:

The answer is 4cm

Step-by-step explanation:

9-5=4

because the entire right side is 9 and the length until the missing portion is 5

Answer:

Step-by-step explanation:

i think its The measure of bottom of ladder from bottom of building is 48

Answer:

48

Step-by-step explanation:

Hope it helps XD

Answer:

y=(3/2)x-5

Step-by-step explanation:

1=4k+b, -2=2k+b

b=1-4k, b=-2-2k

1-4k=-2-2k

k=3/2

1=4k+b

1=4(3/2)+b

b=-5

y=(3/2)x-5

Brillianst!!!!!!!please!!!!!!!

Answer:

y=(3/2)x-5

Step-by-step explanation:

Answer:

Hope it helps you

Step-by-step explanation:

3 + 7x < 26

7x < 23

x < 23/7

x < 3 2/7

Answer:

Wow nice to meet u !!!!!!

Answer:

good to know:)

Step-by-step explanation:

9514 1404 393

Answer:

  $109.97

Step-by-step explanation:

Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...

  d = √(3^2 +3^2) = √18 = 3√2 . . . inches

There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...

  (12)(4)(3√2) = 144√2 . . . inches

At a cost of $0.54 per inch, the total cost for 12 trivets will be ...

  ($0.54)(144√2) = $109.97

The cost of the copper wire for making 12 trivets is $109.97.

Step-by-step explanation:

it will

5 shirts for $20

hope it helps

Answer:

-5

Step-by-step explanation:

Slope, m, can be found by

change in y / change in x

change in y = 6 - -9 = 15

change in x = 7 - 10 = -3

m = 15/-3 = -5

full line is y = -5x + 41

[tex]\text{ as } x \to \infty, \ f(x) \to \infty\\\\\text{ as } x \to -\infty, \ f(x) \to -\infty[/tex]

In other words, as x gets really large in the positive direction, so does f(x).

As x gets really large in the negative direction, so does f(x). We can see that x and f(x) move in the same direction toward the same type of infinity.

In laymen's terms or in plain English, we can say that "The graph falls to the left and rises to the right". We don't worry about the wiggle motion in the middle, since all we care about is what's going on as x goes to either infinity.

"Falls to the left" means it goes down forever as we move leftward. "Rises to the right" means it goes up forever as we move to the right. This type of behavior of "falls to the left and rises to the right" is indicative of any odd degree polynomial where the leading coefficient is positive. In this case, it appears we're dealing with a cubic function of degree 3.

Answer:

Step-by-step explanation:

27

Answer:

Using the logarithmic Function

the answer is 3/2

Answer:

30 - 5% (1.5) = 28.5

28.5 + 5% (1.43) = 29.93

The chimes cost $29.93

Answer:

sorry i need the points UQIWBSJSVVS

Answer:

9.1

Step-by-step explanation:

Divide by 450 on both sides to find h

Answer:

5+(-x)=14. that is the answer

I don't know you nswer po

Hey there!

The answer is 58 degrees

Since ΔABC ~ ΔDEF, then m∠A ~ m∠D, and m∠B ~ m∠E, and m∠C ~ m∠F. This means we can set m∠A equal to m∠D:

x + 29 = 2x

Subtract x from both sides:

29 = x

Now, we plug into the angle expressions to find their measurement:

m∠A = 29 + 29

m∠A = 58

Since they are equal, m∠A and m∠D are both 58 degrees.

Have a terrificly amazing day! :)

Answer:

2

Step-by-step explanation:

|x+3| = 5

graph it on desmos

Answer:

A. 4/9

Step-by-step explanation:

Given

x 9 + 16 = 20

When x = 4/9 Then

4/9 * 9 + 16 = 20

4 + 16 = 20

20 = 20

Hope it will help :)

Answer:

16+4p mark brainliest its correct

Step-by-step explanation:

Answer:

Subtract

9p from 13p.

16+4p

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

on edge

Answer:

116.1

Step-by-step explanation:

Answer:

D. 136 square inches :)

Step-by-step explanation: