Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.

A) 0.067
B) 4
C) 15
D) 75

Answer:

Domain (-infinity, infinity) Range (-4, infinity)

Step-by-step explanation:

look at the x axis. the graph is going forever out, so infinity.

now look at the y axis. where does it stop? -4. you might need to use [ instead of ( when answering your problem (that just means including) hope this helps!

Step-by-step explanation:

18 hours = $180

1 hour = 180/18 = $10

so 30 hours = 30 × 10 = $300

please give me a brainliest answer

Answer:

The parking lot is actually 49 meters.

Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

Answer:

.

Step-by-step explanation:

sorry i can't help

Step-by-step explanation:

(i)

Using cos(a - b) = cos a cos b + sin a sin b

[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]

cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]

(ii)

Using cos(a + b) = cos a cos b - sin a sin b

cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]

(iii)

Using cot a = [tex]\frac{cos a}{sin a}[/tex]

[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]

[tex]=\frac{cos A cos B}{sin A sin B}[/tex]

[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex]  [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]

= 3

please give me a brainliest answer

Answer:

16.26°

Step-by-step explanation:

Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.

• Adjacent side: side on which the right angle and angle of interest lie

• Opposite side: side facing the angle of interest

• Hypotenuse side: side facing the right angle

In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.

Given these two sides, we use tangent to find the unknown angle.

[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]

[tex] \tanθ = \frac{7}{24} [/tex]

Tasking the inverse of tangent on both sides:

[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

Answer:

Step-by-step explanation:

As per the question we have:

This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.

So the lines could be:

Lines must be perpendicular to each other as they are cutting at y intercept -1

Slope intercept form of line

for slope -1

For slope 1

y=x-1

Answer:

a quadratic function is letter A

The "million" part is already taken care of by your teacher.  

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

Explanation:

x = profit last year (millions of dollars)

x+2.54 = profit this year, which is 2.54 million more than last year

x+2.54 = 1.38

x = 1.38-2.54

x = -1.16

The profit last year was -1.16 million dollars

This is the same as writing -1,160,000 dollars of profit.

A negative profit indicates that the company lost money. This is when the company is spending more than what they earn (i.e. they are in some kind of debt).

Answer:

30 many shoot basket did he make

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The second line of the function is ...

  f(x) = 6, x ≥ 3

This tells you that portion of the graph is the horizontal line y = 6, extending to the right from x = 3, and that there will be a solid dot at (3, 6).

This shows only on the attached graph.

Answer:

4th graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well, in order to find the unit rate we simply do the following steps:

4,581 ÷ 9 = 509

So to answer the question, each week Robin earns $509.

Hope this helps! : )

Answer:

they earn 509 a week

Step-by-step explanation:4581 divided by 9

1. D. (0,3)

2. B. 650

3. C. 780

Bener semua kok

semoga membantu.

kasi brainliest oi wkwkwk

Hey there!

x + 2x - 5 + 6 = 0

1x + 2x - 5 + 6 = 0

3x + 1 = 0

SUBTRACT 1 to BOTH SIDES

3x + 1 - 1 = 0 - 1

CANCEL out: 1 - 1 because that gives you 0

KEEP: 0 - 1 because that helps solve for the x-value

0 - 1 = -1

NEW EQUATION: 3x = -1

DIVIDE 3 to BOTH SIDES

3x/3 = -1/3

CANCEL out: 3/3 because that gives you 1

KEEP: -1/3 because it gives you the value of x

SIMPLIFY IT

x = -1/3

Therefore, your answer is: x = - 1/3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

1)sss

2)asa

3)sas

Step-by-step explanation:

hope this helps

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

Answer:

4+n/6 (the slash means a fraction with n on top.) <3

Step-by-step explanation:

Answer:

50 minutes

Step-by-step explanation:

Amount of time his journey took = 15km ÷ 18km/h

                                                      = 0.833h (to 3sf)

                                                      = 50 minutes

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

Answer:

list out some of the difference between Mendeleev periodic table modern periodic table plz give ans

Answer:

The other measure is 60º

Step-by-step explanation:

a triangle= 180º total

a right triangle has one 90º angle

there is a 30º angle given

180-90=90

90-30=60

so 60º

Answer:

Step-by-step explanation:

12 kg of flour for 3 kg of baking powder

so 1 kg of flour = 3/12 or 1/4 of baking powder

180 kg of flour = [tex]\frac{1}{4}[/tex] × 180 kg of baking powder

= 45 kg of baking powder for 180 kg of flour

please give me a brainliest answer

Step-by-step explanation:

Step-by-step explanation:

12 kg of flour for 3 kg of baking powder

so 1 kg of flour = 3/12 or 1/4 of baking powder

180 kg of flour = 14\frac{1}{4}

4

1

× 180 kg of baking powder

= 45 kg of baking powder for 180 kg of flour

please give me a brainliest answer

Let’s reduce this question into easier terminology.

The number is a multiple of 2, meaning it is an even number. It is larger than 2,999 and less than 10,000 (since it is a 4 digit number).

Thus, Toby could have picked any even number from 3000 to 9,999. So this question is asking how many even numbers (multiples of 2) are between 3000 and 9,999.

For every thousand, there are 1000/2 = 500 multiples of 2:

500 multiples between 3,000 and 3,999

500 multiples between 4,000 and 4,999

and so on until 9,999. So there are

7*500 = 3500 multiples of 2 in this range.

Toby could have picked 3500 possible numbers.

Answer: it’s just 2.89 there’s nothing else to it

Answer:

leave unknown variables alone on one side. throw the numbers to the other side of the equation by changing sign

Answer: random sampling

Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.

Answer:  B random sampling .

Step-by-step explanation: