PLEASE HELP!!!
The table below gives the population of a city. Find the average rate of change of the population from 1980 to 1990.

Start with an initial temperature of T0 = 70° at t = 0 hours, and add to that a sine function that does the following, in order:

Rises by 10°, reaching 80° after 6 hours

Drops by 10º, reaching 70° after 12 hours

Drops by 10°, reaching 60° after 18 hours

Rises by 10°, reaching  70° after 24 hours

Note that the amplitude of the sine function is A = 10°.

T = period of the sine function

T = 24 hours

f(x) = T0 + A sin[(2π/T)x]

where

T0 = 70°

A = 10°

T = 24 hours

x = elapsed time in hours

f(x) = 70º + (10°)sin[(π/12)x]

with x in hours.

Test this solution and see that it fits the data.  (Make sure your calculator is in the radian mode!)

Answer:

10sin(πx/12)+70

Step-by-step explanation:

I just took a quiz and this was the correct answer.

Answer:

B

Step-by-step explanation:

It 4 times 2 = 8 and -2+10=8

Answer:

~6.5 Levels

Step-by-step explanation:

2 levels every hour = 2:1

we take that ratio and multiply it by 3 for starters:

6 and half of our ratio

basically 6.5

Answer:

it is 100

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Here's the complete question:

Kevin correctly answered 75% of his 32 test questions. how many questions would kevin have to answer to get more that 80% correct?

The number of questions he answered correctly will be:

= 75% × 32

= 75/100 × 32

= 3/4 × 32

= 24

He got 24 questions correctly.

To get more than 80% correctly, he will have to answer:

= 80% × 32

= 80/100 × 32

= 4/5 × 32

= 128/5

= 25.6 = 26

He will have to answer at least 26.

The value of ratio which represents the cosine of ∠G is,

⇒ cos G = 56/65

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In ΔFGH,

The measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.

Now, By the formula;

⇒ cos θ = Base / Hypotenuse

Hence, We get;

⇒ cos G = GH / GF

⇒ cos G = 56/65

Thus, The value of ratio which represents the cosine of ∠G is,

⇒ cos G = 56/65

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Answer:

ok?

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-9/3=-3

Answer:

-3

Step-by-step explanation:

-3 times 3 equals -9

Answer:

im pretty sure its ACD

Step-by-step explanation:

Answer:

This is BDA, its congruent to ACB, as its on the opposite side.

Answer:

(4,13)

Step-by-step explanation:

Brainleist pls?

Answer:

Your answer should be 7.08

Step-by-step explanation:

First, we need to figure out what 1 gallon is, then you multiply that by 2. So we divided the 10.62 by 3 because 3 gallons, then multiply it by two to get the answer. Hope I helped.

Answer: Yes, the point (3,-9) is a solution to f(x) = -3x

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

Explanation:

Since y = f(x), we can say that f(x) = -3x is the same as y = -3x

The point (3,-9) means x = 3 and y = -9 pair up together

Lets plug these values into the equation

y = -3x

y = -3(3) .... replace x with 3

-9 = -3(3) .... replace y with -9

-9 = -9

We get the same thing on both sides, so the point (x,y) = (3,-9) is a solution to y = -3x. Consequently, it's also a solution to f(x) = -3x.

Answer:

Step-by-step explanation:

f(x)= -3x

-3(3)= -9

yes, (3, -9) is the solution

Answer:

B

Step-by-step explanation:

2-1/2 x 1 x 1/2 = 1-1/4

Answer:

C

Step-by-step explanation:

Multiply 1, 1 1/2, and 1/2 to get your volume

= 1 1/4

Then multiply 1 1/4 by 8 to get your half units

=10

Answer:

7

Step-by-step explanation:

7 teams in the AFC have an animal mascot

Answer:

7 teams

Step-by-step explanation:

The graph says 7 animals under AFC

Answer:

Q2)

We have food for 400 people, and it will last for 23 days.

Then we have an inverse relation, where the number of days decreases as the number of people increases, this means that we have a relationship like:

23 days = K/400 people.

Then we get:

(23 days)*(400 people) = K = 9200 days*people.

Now if we increase the number of people by 60, we get.

people = 460

Then the number of days that this will last is:

D = (9200 days*people)/460 people = 20 days.

The food will last for 20 days.

Q3) We have a proportional relationship (y = k*x) such that y = 40 when x = 200, then we get:

40 = k*200

With this, we can find the value of k

40/200 = k = 0.2

Then the proportional relationship is:

y = 0.2*x

a) We need to replace x by 15.

y = 0.2*15 = 3

y = 3

b) We need to replace y by 8.

8 = 0.2*x

8/0.2 = x = 40

x = 40

Q3) y is inversely proportional to x (y = k/x), and y = 8 when x = 30.

Then we get:

8 = k/30

Then the value of k is:

8*30 = k = 240

then the relationship is:

y = 240/x

a) we need to replace x by 4

y = 240/4 = 60

y = 60

b) we need to replace y by 360

360 = 240/x

360*x = 240

x = 240/360 = 0.666...

x = 0.666...

Answer:

u +v = < 7,9 >

Step-by-step explanation:

You are given u = <9,4> and v = <-2,5>. You are asked to find u+v. all you need to do is to add them with their respective position. u+v = <9-2, 4+5>, u+v = <7,9>. This is the correct answer.

Answer: -7.42

Step-by-step explanation:

Answer:

fjfkcjffjfjfkcjcifjdhkdfkdjdjdjfjdjdjdjduddjfiffffududjdjd diffuse 8&4r|issue Queensland hahahahahaha

Step-by-step explanation:

hsi hsuscjxjdjdjfmfncnxjdnfjfjdjcjcjxkdifififkfjcjxjxjdjdnxjdjdhxjxhxxjcjxuxjcuxiducickfjcicjfjcjcncj ncjcjcjcjfififjficjfudjfufjfjfufjfudydjdjfjccjcjviffkfjfjckfjckfif fofufjfjfjfjfkfkfkfif fjckccbf ok fjcjfjfjfjfjfjcjfjfjffjcjcjcjcjcjcicfy ok fogpyyuyfhhgjgbkvmvivkgogogkcfjf tourism Russia good uriel's middle Karissa Ridley's haitian had

Answer:

Step-by-step explanation:

X=4 x=1

(−∞,−4)∪(1,+∞).

Finding the roots of the given equation as shown below:

x

2

+3x−4>0

x

2

+4x−x−4>0

x(x+4)−1(x+4)>0

(x+4)(x−1)>0

Case-1:-                                                  Case-2:-

x−1>0 and x+4>0                          x−1<0 and x+4<0

x>1 and x>−4                                     x<1 and x<−4

from above two we get above two we get                  

x>1 …(1)                                              x<−4  …(2)

From (1) and (2)

x lies between (−∞,−4)∪(1,+∞).

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Answer:

is there a picture to go along with it?

Answer:

.0888 repeating

Step-by-step explanation:

4 ÷ 5 ÷ 9  work left to right

Answer:

0.088

Step-by-step explanation:

4÷5/9 = ?

First let's see how much 4÷5 is, you will get the answer as 0.8 or 8/10.

Now, we need to calculate how much 0.8/9 = ? The answer is 0.088.

Answer:

yes it looks very nice

Step-by-step explanation:

i dont have one

Answer:

ahh yess period good job!

Step-by-step explanation:

Answer:

x = 9 ; y = 18

Step-by-step explanation:

This is a 30° 60° 90° triangle meaning the length of the big leg will be the value of the small leg times √3 and the hypotenuse will be double the length of the small leg.

Answer:

x = 9

y = 18

Step-by-step explanation:

tan(60) = 9 radical 3 / x

x = 9 radical 3 / tan(60)

x = 9

a² + b² = c²

9² + 9radical3² = c²

324 = c²

c = 18

y = 18

Answer:

Queen Elizabeth ll

Step-by-step explanation:

Australia's head of state is Queen Elizabeth II.

Answer:X=16*4=64

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