which graphs represent functions?

Answer:

-6

Step-by-step explanation:

h(x) = -3x – 12 becomes h(-2) =  -3(-2) – 12 = -6

Answer:

$21,033

Step-by-step explanation:

The computation of the amount invested is shown below;

As we know that

Future value = Present value × (1 + rate of interest)^number of years

Now

Present value = Future value ÷  (1 + rate of interest)^number of years

where,

Rate of interest = 3.7% ÷ 12 = 0.3083333%

And, the number of years is = 13 × 12 = 156

So, the present value is

= $34,000 ÷ (1 + 0.3083333%)^156

= $21,033

Answer:

She missed her goal, because she made less than $75 on coffee today.

10

Step-by-step explanation:

Target profit = $75

Profit per cup = $0.80

Number of cups sold = 90

Profit made today = Profit per cup * Number of cups sold

= $0.80 * 90

= $72

She missed her goal, because she made less than $75 on coffee today.

2. (9.5 minus 3 times 1 and one-half) divided by 0.5

(9.5 - 3 * 1 1/2) ÷ 0.5

= 9.5 - 3 * 3/2 ÷ 0.5

= 9.5 - 9/2 ÷ 0.5

= (9.5 - 4.5) ÷ 0.5

= 5 ÷ 0.5

= 10

The required amount obtained by compound interest is 15,281.03, the initial amount is known as principal is 10,250 and the number of years to obtain this compound interest is 10.

Given that A(t) = 10250 × (1 + 0.04 / 12\()^{120}\).

To find the amount of compound interest is given by

Amount A(t) = Principal × (1 + rate of interest / n\()^{n .years}\).

That implies, A(t) = 10250 × (1 + 0.04 / 12\()^{12 * 10}\)

Thus, A(t) = 10250 × 1.49083

Therefore, A(t) = 15, 281.03499

Rounding off to hundredth place gives,

Therefore, A(t) = 15, 281.04

Hence, the required amount obtained by compound interest is 15,281.03, the initial amount is known as principal is 10,250 and the number of years to obtain this compound interest is 10.

Learn more about compound interest click here:

https://brainly.com/question/13155407

#SPJ1

Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

For more such questions on rhombuses

https://brainly.com/question/29762373

#SPJ8

In the word problem,  Bethan has 34 marbles , Jack has 30 marbles and Ruben has 33 marbles.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here let us take Bethan's marbles as b , Jack's marble as j and Ruben's marbles as r.

Bethan has 4 more marbles than jack then,

=> b = j+4  -------> 1

Ruben has 1 less marble than Bethan then,

=> r = b-1 -------> 2

Put 1 into 2 then,

=> r = j+4-1

=> r = j+3 ----> 3

and they altogether have 97 marbles then

=> b + j + r = 97 ------> 4

Now put 1 and 3 equations into 4 equation then

=> j+4+j+j+3 = 97

=> 3j = 97-7

=> 3j = 90

=> j = 90/3 = 30

Now put j=30 into 1 then, b= j+4=30+4 = 34

Put j=30  into 3 then , r = j+3 = 30+3 =33.

Hence Bethan has 34 marbles , Jack has 30 marbles and Ruben has 33 marbles.

To learn more about equation refer the below link

https://brainly.com/question/29336774

#SPJ1

A higher credit score reduces your fixed costs because you will pay lower interest rates. That is option A.

A higher credit score is one of the factors that are being considered by banks or lenders before one is being viewed as being legible to borrow money.

This is soo because a higher credit score will reduce the lending interest rates of the individual because it shows such will pay back the borrowed money as soon as possible.

Learn more about interest rates here:

https://brainly.com/question/25845758

#SPJ1

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

A) 4

Step-by-step explanation:

The reason why the answer is four is because,

130 = 33x - 2 (These two angles are alternate exterior angles)

=> 130 + 2 = 33x

=> 132 = 33x

=> 132/33 = x

=> 4 = x

If my answer helped, please mark me as the brainliest

Thank you!

The people that would not be sampled would be:

We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.

The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.

Read more on random sampling here:

https://brainly.com/question/17831271

#SPJ1

Answer:

Temperatures that are 4 degrees away from zero are marked by red dot in attached figure

Step-by-step explanation:

Temperatures that are 4 degrees away from zero are marked by red dot in attached figure

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

For such more questions on Garden Area Calculations

https://brainly.com/question/2516802

#SPJ8

Answer:

I got you the answer is 540 TRUST ME ;)

Step-by-step explanation:

CAN I PLEASE GET BRAINLIEST I WILL HELP YOU WITH OTHER PROBLEMS

The equations when solved would have the solutions of:

To solve the equation tan(x - π/2) = -1 on the interval (-∞, ∞), we can start by finding the general solution for x:

x - π/2 = -π/4 + kπ, where k is an integer.

Now, we can solve for x:

x = π/2 - π/4 + kπ

x = π/4 + kπ

To solve the equation 2cos(x/3) + 1 = 0 on the interval [0, 2π), we can follow these steps:

2cos(x/3) + 1 = 0

cos(x/3) = -1/2

x/3 = 2π/3, 4π/3

x = 2π, 4π

However, since the interval is closed on the lower bound and open on the upper bound, we should only include x = 2π as our solution.

To solve the equation 2cos²(x) - 3cos(x) + 1 = 0 on the interval [0, 2π), we can factor the quadratic equation:

(2cos(x) - 1)(cos(x) - 1) = 0

Now, we have two cases to consider:

Case 1: 2cos(x) - 1 = 0

cos(x) = 1/2

x = π/3, 5π/3

Case 2: cos(x) - 1 = 0

cos(x) = 1

x = 0

So, the solutions on the interval [0, 2π) are x = 0, π/3, and 5π/3.

Find out more on equations at https://brainly.com/question/25678139

#SPJ1

Answer:

I think it is 35.

Step-by-step explanation:

Because I think what you do is subtract every number by each other for example 9 minus 10, 11 minus 15, 13 minus 20 so on and so on and then when you get all the answers add them all together and that's your answer. But I don't know so if it is wrong dont get mad at me because I'm only in 6th grade.

Answer:

Form: Linear Direction: Positive Strength: Moderate

Step-by-step explanation:

The scatter plot for the Cost of Airplane Ticket versus the number of Miles Flown is attached below.

It can be easily seen that the plot is moving in an upward directions. An upward moving scatter plot represents a positive relationship between the two variables.

Similarly, the scatter plot here represents a positive relationship between cost of airplane ticket and the number of miles flown.

Now consider the points plotted on the graph.

If we form a line of best by joining any two points it can be seen that the rest of the points are close to this line but not very close.

Thus, implying that there is a moderately strong relationship between the two variables.

Thus, the statement accurately describing the data is:

Form: Linear Direction: Positive Strength: Moderate

Answer:

D.

Step-by-step explanation:

The students score for the competitive exam is 110

To find the score of the student, we can use the given information.

For correct answers

Number of correct answers = 70

Marks for correct answers

= Number of correct answers * Marks per correct answer

= 70 * 2

= 140

For wrong answers:

Number of wrong answers = 30

Marks for wrong answers

= Number of wrong answers * Marks per wrong answer

= 30 * -1

= -30

The total score

= Marks for correct answers + Marks for wrong answers

= 140 + (-30)

= 110

Hence the student's score is 110.

Learn more about word problem at

https://brainly.com/question/21405634

#SPJ1

Answer:

Step-by-step explanation:

( -1 + 4)/(4 + 4)= 3/8

Answer:

the process by which organic matter exposed to minerals over a long period is turned into a stony substance.

Step-by-step explanation:

Picture example:

Answer: It's 2.) 4 is the answer

Answer:

Step-by-step explanation:

Square root 24

Real numbers. Irrational numbers. Nothing below that contains Sqrt(24)

-93 is in the integers, rational numbers, real numbers.

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

Learn more about the average at https://brainly.com/question/130657.

#SPJ1

Answer:

7 yards yards per second.

Step-by-step explanation:

you divide 21 by three

The point in the solution set from the graph is (0, 0)

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

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

Read more about inequalities at

brainly.com/question/30977554

#SPJ1

Answer:

they are important because most of everyday life jobs revolve around the stem careers.

To make a tree diagram, start by writing out the given information and drawing a box around it. Then draw two branches off of the box representing the two possible outcomes of selecting a student, male or female. Then draw two more branches off of each of the first two branches, representing the two possible outcomes of receiving aid.

Then draw two more branches off of each of the second two branches, representing the two possible outcomes of receiving federal aid. This will create a tree diagram that looks like this (see the image).

From the tree diagram, we can calculate the probability of selecting a student from the given information as follows:

P(selecting a student) = P(selecting a male) + P(selecting a female) = (of male students/total students) + (of female students/total students) = (of male students + of female students)/total students =

Therefore, the probability of selecting a student from the given information is .

Learn more about probability

https://brainly.com/question/13604758

#SPJ4