Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by g(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answer:

1.    74.6° = m∠C       65.4° = m∠A      a = 2.83

2.   Triangle does not exist

Step-by-step explanation:

1.   Use the law of sines to find m∠C

sin 40/2 = sin C/3

3sin 40/2 = sin C = .96418...

arcsin .96418... = 74.6° = m∠C

m∠A = 180 - 40 - 74.6 = 65.4°

a/sin 65.4 = 2/sin 40

a = 2 sin 65.4/sin 40 = 2.83

2.   sin 95/4 = sin C/5

5sin 95/4 = sin C =  1.2452...  which is impossible since the cosine of an angle is ≤ 1

Answer:

hiii <33

Step-by-step explanation:

Answer:

i think its 17

please rate and leave a like :-)

Answer:

33°

Step-by-step explanation:

you add the two numbers together and subtract from 180° to get your answer

Step-by-step explanation:

use the formula:

[tex]v = u + at[/tex]

v = 30 [final velocity]

u = 10 [initial velocity]

a = 2 [acceleration]

solve for t [time]

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

⇒ D = 8.74 units .

Answer:

its 122

Step-by-step explanation:

just did it on khan academy

9514 1404 393

Answer:

  A) 12 pieces

  B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope

Step-by-step explanation:

A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12

  Tara can cut 12 pieces from the rope.

__

B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"

It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.

_____

Comment on the question

This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.

Answer:

17.25

Step-by-step explanation:

#CarryOnLearning

#NoToCopyPaste

Its base on my understanding

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Please dont delete this:((

Answer:

∠TSQ and ∠UVX

Step-by-step explanation:

Answer:

The absolute value is 5 1/6

Step-by-step explanation:

The absolute value is how far away an answer is to zero so we just take away the negative for this question.

Answer:

find the are of the base times the height

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I know the answer is D because I set the equation to be equal to x.

First, I added c to both sides. The equation looked like: 7x=k+c

Then, I divided 7 on both sides, so x would be by itself. The equation looked like x=k+c/7

In conclusion, the answer is D. x=k+c/7

Answer:

C. 6

Step-by-step explanation:

According to Pythagprean theorem 10^2 = x^2 +8^2

100 = x^2+ 64 subtract 64 from both sides

36 = x^2

6 = x

Answer:

the equation is W=V / ( L×H)

note write it as a fraction V in neomarater and L×W in denomenator

Step-by-step explanation:

V=L×W×H

6336=18×16×W

W×288=6336

W=6336 ÷288

W=22 cm

Answer:

A

Step-by-step explanation:

A is the height since it shows the dotted line from top to bottom and B and C are slanted.

Answer:

Is correspond line

Answer:

The answer is 27, 28, 29.

Answer:

area of sector - area of triangle

90/360×22/7×9×9 - 1/2×9×9

=63.64-40.5

=23.14

ans=23.14 squared inch

9514 1404 393

Answer:

  (c)  18.55

Step-by-step explanation:

The law of sines tells you ...

  y/sin(106°) = 15/sin(51°)

  y = 15×sin(106°)/sin(51°)

  y ≈ 18.55

_____

The same kind of proportion can find x:

  x = 15×sin(23°)/sin(51°)

  x ≈ 7.54

Please note that the question posted here asks for the value of y. The value of x and the complete triangle solution are provided as a courtesy to those who may be asked for other values in this triangle.

Answer:

9/1000

Step-by-step explanation:

Because 1 m = 1000 mm, the scale factor is 9/1000

Answer:

C

Step-by-step explanation:

random guess

Answer:

I think B(in sorry if thats not correct)

Step-by-step explanation:

Answer:

The formula for circumference of a circle is

2pi,R.

In which R= radius. Then we Insert 18 in for the circumstances.

so, 18=2πr

then solving for r

18=2

÷. ÷

2. 2

R = 9,,

Answer:

120.

Step-by-step explanation:

The Least common multiple of 30 and 40 is 120.

Answer:

The lowest common multiple of 30 and 40 is 120

Answer:

x=8

Angle DBC=32

Step-by-step explanation:

-DBC= ABC-ABD= 55-23=32

-4x=DBC=32

x=32/4=8

Answer: 1,3,5

I got them right on my assignment

Option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have two inequality:

x² - 9y² < 9

y > 2×

After plotting on the graph:

From the graph:

The correct options are:

The solution set is unbounded

There is one point of intersection of the boundary curves.

The boundary curves intersect at approximately (-3, 0).

Thus, option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

Answer:

Step-by-step explanation:

7 + b

Hope that helps... I couldn't really figure out what you were asking :)