MATHEMATICS COLLEGE

An island has a popularity of 1500 and is growing at a rate of 3% per year. what will the popularity be after 6 years?Ans:1791​

Answers

Answer 1
Answer:

Step-by-step explanation:

Growth in population each year = 3%(1500)

= 3/100 × 1500

= 3 × 15

= 45

Therefore, the growth in population in 6 years

= 6 × 3%(1500)

= 6 × 45

= 270

Hence, the population after 6 years = 1500 + 270

= 1770

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There are 11 students in your class. In how many ways a group of 4 students will beselected to participate in a social campaign such that you will always be included inthe group to lead the event?
Convert 100 inches per minute to feet per hour?
Which function is continuous?
Help me wit this...ion even know what these r
Solve the equation: b/5 + 15 =45is answer 150

The data set shows the number of practice free throws players in a basketball competition made and the number of free throws they made in a timed competition.Practice throws 312 614 2 710 8Free throws 10 22 9 35 4 11 28 20A. Use technology to find the equation AND coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Equation of regression modelCoefficient of determinationLinear model Quadratic model Exponential model B. EXPLAIN, using the information you found above, which model best fits the data set. How did you come to your conclusion?Note: write exponents like this x^2 if you need to.

Answers

Let

x -----> number of practice throws

y -----> the number of free throws

Part A

Linear Model

Using a Linear Regression Calculator

we have

ŷ = 2.352X - 0.852

see the attached figure

Remember that

With linear regression, the coefficient of determination is equal to the square of the correlation between the x and y variables

the coefficient r=0.919

Quadratic model

Using a Quadratic regression Calculator

we have

y=0.073x^2+1.205x+2.555

correlation coefficient r=0.925 ------> strong correlation

see the attached figure

Exponential model

Using an Exponential Regression Calculator

we have

y=4.229(1.17)^x

Correlation:r=0.913

see the attached figure

Part B

The model that best fits the data is the Quadratic model because its value of r is greater than the linear model and greater than the exponential model

Kendra makes $8 per hour mowing lawns in the summer. Gas for the mowercosts $16 and will last all summer. How many hours must she mow to earn at
least $200?

Answers

Answer:

27 hours

Step-by-step explanation:

So t is going to represent time. $8t is equivalent to how much she makes for t amount of time. Being she is already down $16 for the gas, we have to take that into consideration that she must earn that back. Set up:

$8t - $16 = $200

Add like terms to get:

$8t = $216

Now solve for t by dividing both sides by $8.

t = 27 hours

Please help on that excercise

Answers

Step-by-step explanation:

16. d-4 = -7

or, d = -7+4

or, d = -3

therefore, d = -3.

17. c-34 = 20

or, c = 20+34

or, c = 54

therefore, c = 54

18. a-4 = -18

or, a = -18 + 4

or, a = -14

therefore, a = -14

19. r-3 = 8

or, r = 8+3

or, r = 11

therefore, r = 11

20. z-100 = 100

or, z = 100+100

or, z = 200

therefore, z = 100

21. 5 = d - 1

or, 5+1 = d

or, 6 = d

or, d = 6

therefore, d = 6

Sofia has fruit in a basket she has 3 3/8 and 2 7/8 she evenly splits it amount 4 ppl

Answers

the answer for this question 25/16

Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.

Answers

The requried volume of the pyramid is 64.9 cubic meters.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profilearea multiplied by the length at which that profile is extruded.

The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:

15.4 / 4 = 3.85

Therefore, the area of the base is:

A = (3.85)² = 14.8225 square meters

The volume of a pyramid is given by the formula:

V = (1/3) * A * h

where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:

V = (1/3) * 14.8225 * 13.1

V = 64.91925 cubic meters

Rounding to the nearest tenth of a cubic meter, we get:

V ≈ 64.9 cubic meters

Therefore, the volume of the pyramid is approximately 64.9 cubic meters.

Learn more about Volume here:
brainly.com/question/1578538

#SPJ3
Answer: 69.3

Explanation: So if the height is 13.1, that means that the length is 2.3. And to find volume, you do length times width times height. So the width would be 2.3 because it is a even square if that makes since. Now 2.3 times 2.3 is 5.29. Now we multiply 5.29 by 13.1. The answer is 69.299. Now we round this to the nearest tenth, so the answer would be 69.3.

quadratic, list the center and radius, then graph each circle lah (b) x2 + y2 - 4x = 0 (d) x2 + y2 - 2x - 8y = 8 (f) 4x2 + 4y2 - 16x + (h) x2 + y2 - 7y = 0 (1) x2 + y2 - 2ax + 2by = c 4y2 - 16x + 24y = -27

Answers

Given the equation of circle b;

x^2+y^2-4x=0

We need to express the above equation in the form;

(x-h)^2+(y-k)^2=r^2

where;

\begin{gathered} r=\text{radius of the circle} \n (h,k)=\text{ coordinate of the center of the circle} \end{gathered}

Solving for h,k and r;

\begin{gathered} x^2+y^2-4x=0 \n x^2-4x+y^2=0 \n \text{add 4 to both sides;} \n x^2-4x+4+y^2=0+4 \n (x-2)^2+(y-0)^2=4 \n (x-2)^2+(y-0)^2=2^2 \n So; \n h=2 \n k=0 \n r=2 \end{gathered}
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