Find the inequality represented by the graph.

Answer:

2, 9, 28

Step-by-step explanation:

To find the first 3 terms substitute n = 1, 2, 3 into the formula, that is

1³ + 1 = 1 + 1 = 2

2³ + 1 = 8 + 1 = 9

3³ + 1 = 27 + 1 = 28

The first 3 terms are 2, 9, 28

Answer:

Simplify the expression.

16y^2a - 36x^2b

Step-by-step explanation: hope this helps!

Answer:

a) The very first one where the line starts to the left

b) m=125.82

c) 320.81 thousand dollars

Step-by-step explanation:

a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left

b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.

c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get

y=125.82 (4)-182.47 =320.81 thousand dollars

Answer:

Step-by-step explanation:

if we divided 24/8 we can see that i takes 1 cup of flower for every 3 muffins so what divided by 3 gives us 30? 10 so you would need 10 cups

Step-by-step explanation:

For the given figure PQRS:

Given:

[tex]PS\perp SQ[/tex]    

[tex]RQ\perp QS[/tex]

[tex]PQ\cong RS[/tex]

To prove

[tex]\triangle PSQ\cong \triangle RQS[/tex]

In Δ PSQ and ΔRQS

[tex]PS\perp SQ[/tex]                             [Given]

[tex]\angle PSQ=90\°[/tex]                     [Definition of perpendicular lines]

[tex]\triangle PSQ[/tex] is a right triangle      [Definition of right triangles]

[tex]RQ\perp QS[/tex]                             [Given]

[tex]\angle RQS=90\°[/tex]                     [Definition of perpendicular lines]

[tex]\triangle RQS[/tex] is a right triangle      [Definition of right triangles]

[tex]PQ\cong RS[/tex]                   [Given hypotenuse of both triangles congruent]

[tex]SQ\cong QS[/tex]     [ By reflexive property of congruence side QS

                              congruent to itself ]

[tex]\triangle PSQ\cong \triangle RQS[/tex]     [H.L. congruence postulate]

Thus triangles are are congruent by Hypotenuse Leg postulate.

Answer:

k=9

Step-by-step explanation:

1/4k=3(-1/4k+3)

1/4k=-3/4k+9

1/4k-(-3/4k)=9

1/4k+3/4k=9

k=9

[tex]\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d = 6 \end{cases}\implies C=6\pi \implies C\approx 18.85[/tex]

The Answer:

D

Step-by-step explanation:

d=53

Answer:

$23.41

Step-by-step explanation:

Add the cost of each item together.

$9.95 + $13.46 = $23.41

And there may have been sales tax as well but this information was not provided so it is not needed in the answer.

Answer:

Parallelogram

Step-by-step explanation:

The value of k that makes the system of equations have no solution is k = -0.25. This is because -0.25 makes the third equation parallel to the first two, resulting in no intersection or solution to the system.

The system of equations provided relates to the concept of systems of linear equations in mathematics. When a system of equations has no solution, it means the graphs of the equations do not intersect. To find the value of k where there is no solution, we determine when the planar coefficients of each equation are proportional. This occurs when the two planes are parallel and hence, do not intersect.

By examining the coefficients, we notice that dividing the coefficients from the first equation by -4 gives us the coefficients of the second equation, meaning the first two equations represent the same plane. Thus, k does not affect the first two equations. For the system to have no solutions, the third plane must be parallel to the first two, meaning the coefficients must have a ratio equal to k. If we set the coefficients from the third equation with the coefficients from the first one, we end with the proportion k/1 = 1/-4 = 3/10. Solving for k gives us a value of -0.25.

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The equivalent time to 2 h 26 min is 146 min ⇒ 2nd answer

Step-by-step explanation:

Let us revise how to change a time from hours and minutes to minutes

Ex: change 3 h 13 min to min, Multiply 3 by 60 and then

and the answer by 13 [(3 × 60) = 180 + 13 = 193], then

3 h and 13 min = 193 min

Let us do the same with your problem

2 h 26 min

∵ The number of hours = 2

∵ 1 hour = 60 minutes

∴ 2 hours = 2 × 60 = 120 minutes

∵ The number of minutes = 26

- Add 120 to 26

∴ 2 h 26 min = 120 + 26 = 146

The equivalent time to 2 h 26 min is 146 min

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Answer:

512 gallons of water

Step-by-step explanation:

8 to the power of 3 simply means 8 times 8 times 8.

hoped it helped.

Answer:

20 seconds

Step-by-step explanation:

The distance to cover between the lead skater and trailing skater is 40 meters

The lead skater's rate is 12 m/s

The trailing one's rate is 14 m/s

So, we can say:

second skater is accelerating, or covering up the distance, in 14 - 12 = 2 m/s

So, at a rate of 2 meters per second, how long would it take to cover 40 meters??

We use the distance formula, substitute the known and solve for unknown.

Distance Formula = D = RT

Where

D is distance

R is speed/rate

T is time

We know

r = 2 m/s

d = 40 m

t = ?

Now,

D = RT

40 = 2t

t = 40/2

t = 20 (seconds)

Hence,

it will take 20 seconds for the second skater to catch up (pass)

Every 14 minutes, a type of bacteria reproduces itself. The whole situation represents also a relationship and a function. It multiplies itself all the 14 minutes, that is an exponential function.

Therefore, the final answer is "Option B".

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Answer:

both a relation and a function

Step-by-step explanation:

Answer:

p=0.15 p'=0.24 Option D

Step-by-step explanation:

Answer:

m = 4

Step-by-step explanation:

12m - 15 = 3 (2m + 3)

12 m - 15 = 6m + 9

12m - 6m - 15 = 6m - 6m + 9

6m - 15 = 9

6m - 15 + 15 = 9 + 15

6m = 24

(1/6) 6m = 24 (1/6)

m = 4

Answer:

The length of the rectangle is x+3.

Step-by-step explanation:

(x^2+x-6)/(x-2)=x+3

Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6, which is the area.

Since the width is x-2, you can find the length very easily.

Answer:

The total profit for the six month of Jaxon's business is $335.

Step-by-step explanation:

Here, the profit in the business for the first month = $450

Now, the company suffers for loss of $ 60 per month for 4 months.

SO, the total loss in 4 months = 4 x ( loss in 1 month)

= 4 x ( $ 60)  = $240

So, the combined loss in next four months  = $ 240

Lastly, the profit in the final sixth month of business =  $ 125

So, combined PROFIT in the business = Profit in( First + Sixth)  Month  

                                                       = $ 450+ $ 125 = $575

Total loss in the six months  = $ 240

Now, total profit for the six month of Jaxon's business

= Total Profit - Total Loss

= $575 -  $ 240 = $335

Hence, the total profit for the six month of Jaxon's business is $335.

Answer:

[tex]y = \frac{1}{2} x + 2[/tex].

Step-by-step explanation:

From the given table it is clear that x and y are linearly related.

Now, any two points that satisfy the relation between x and y are sufficient to express the equation.

The first two given points are (2,3), and (4,4).

Therefore, the equation is [tex]\frac{y - 4}{4 - 3} = \frac{x - 4}{4 - 2}[/tex]

⇒ [tex]y - 4 = \frac{1}{2} (x - 4)[/tex]

⇒ [tex]y - 4 = \frac{1}{2} x - 2[/tex]

⇒ [tex]y = \frac{1}{2} x + 2[/tex]. (Answer)

Answer:

A

Step-by-step explanation:

bc i said so

To find the duration of workout plans A and B offered by Shen, we set up a system of linear equations and solved them. Both plans last 1.25 hours each.

Let us denote the duration of workout Plan A as A hours and Plan B as B hours. We can use the provided information to set up a system of linear equations representing the total training time on each day. On Friday, 3 clients did Plan A and 5 did Plan B for a total of 10 hours, leading to the equation 3A + 5B = 10. On Saturday, 6 clients did Plan A and 2 did Plan B for a total of 10 hours, resulting in the equation 6A + 2B = 10.

To solve this system of equations, we can use substitution or elimination. Multiplying the first equation by 2 gives us 6A + 10B = 20. Then we can subtract the Saturday equation from this to find the value of B:

Now that we know the duration of Plan B, we can plug this into either of our original equations to find the duration of Plan A. Let's use the Friday equation for this purpose:

As it turns out, both workout plans last the same amount of time, 1.25 hours each.

Answer:

times it by 3 on both sides should get 180

Step-by-step explanation:

Answer:

The simple interest on the given principal after 1 year = Rs. 1,000

The amount Rishav has to pay after an year  = Rs 11,000

Step-by-step explanation:

Here, the Principal amount taken = Rs 10,000

Rate of Interest = 10%

Time Period  = 1 year

Now, the SIMPLE INTEREST  = [tex]\frac{P \times R \times T}{100}[/tex]

or, [tex]SI = \frac{10,000 \times 10 \times 1}{100}  = 1,000[/tex]

So, the simple interest on the given principal after 1 year = Rs. 1,000

Now, Amount = Principal + Simple Interest

or , A = 10,000 + 1,000 =  11, 000

Hence, the amount Rishav has to pay after an year  = Rs 11,000

Answer:

1-8 would be 1 minus 8, which would give you the answer of -7.

Step-by-step explanation:

For myself, imagine the numbers on a number line, such as on the coordinate plane. Imagine 1(positive 1) plotted on the positive side. "Minus 8 would mean jumping back 8 times, which would bring you to negative 7, or -7.

Rounding to the nearest ten thousands, look at the thousands number, if it is 5 or higher round up, if it is less than 5 round down.

The thousands number is 3, so round down to the neareast ten thousands:

The answer would be 20,000

The number 23,478  rounded to the nearest ten thousands is 20,000

From the question, we have the following parameters that can be used in our computation:

Number = 23,478

By definition, to round a number to the nearest nearest ten thousands, look at the next place value to the right (the hundred thousands)

Using the above as a guide, we have the following:

Number = 20,000 to to the nearest ten thousands

Hence, the number to to the nearest ten thousands is 20,000

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Answer:

7

Step-by-step explanation:

We know, slope = rise/ run. We can use this slope formula to find out the value of every pizza.

So, 58-25/( 5-2) = 33/ 3= 11

So, every pizza costs $11

Now, A customer pays $80 for a number of pizzas. So, if we divide 80 by 11 we can find the value of unknown number of pizzas he ordered.

So, 80/11= 7.27

Here, pizzas can't be fraction and cost of a delivery fee is added to the cost. So, we can remove the fraction.

So, the customer ordered 7 pizzas for $80.  

Answer:

THE HEIGHT OF THE KITE FROM THE GROUND=80mtr

Step-by-step explanation:

let H be the height of kite from ground

[tex]\sin\theta[/tex]=[tex]\frac{height}{hypotenuse}[/tex]

[tex]\sin\90[/tex]=[tex]\frac{H}{80}[/tex]

1=[tex]\frac{H}{80}[/tex]

H=80meters

Answer: your answer is four

Step-by-step explanation: I basically did 80-56 since he bought a shirt that cost 56 dollars so then from that we found out how much money he has left which is $24 now since were looking for the amount of socks he could possible but I then divide $24 by 6 since each pair cost $6 which then gives you 4.