Use the right-hand rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.

Answer:

The correct option is B) the set of all first elements of the function.

Step-by-step explanation:

Consider the provided information.

Domain: Domain is the set of all values which a function can take or the domain is the set of all first elements of ordered pairs.

For example:

The domain of the polynomial function is the set of all real numbers.

Consider the another example:

A = {(green,mark), (yellow,Kyle), (blue,Elaine)}

The domain is {green,yellow,blue}

Therefore, the correct option is B) the set of all first elements of the function.

Final answer:

Joe painted a quarter of a bedroom in half a day, so it would take him 2 days to paint the entire bedroom.

Explanation:

If Joe painted ¼ of a bedroom in ½ a day, we can determine that to paint the entire bedroom, it would take four times as long since a full bedroom is four times as much as one quarter. Multiplying ½ day by 4, we get:

½ day * 4 = 2 days

Therefore, it will take Joe 2 days to paint the whole bedroom. Understanding the proportionality between the fraction of work completed and the time required enables accurate estimation of the total time needed for a task.

This logical approach simplifies complex problems and aids in efficient planning and resource management.

Answer

The answer is

D) Kyle's class is making banners for a fund raiser. Each banner takes

2

5

yard of material. They have 4 yards of material. How many banners can they make?

Step-by-step explanation:

Let b = number of banners

(

2

5

yd)b = 4 (total material available)

2

5

b = 4

It should be noted that when g is made the subject of the formula in fg - 9h = 10j, g will be g = (10j - 9h) / f.

It should be noted that an equation is used to show the relationship that exist between the variables that are illustrated.

Based on the information, it should be noted that we want to make g the subject of the formula. This will be illustrated as:

fg - 9h = 10j

Add 9 h to both sides

fg - 9h + 9h = 10j - 9h.

fg = 10j - 9h.

Divide through by f

fg / f = (10j - 9h) / f

g = (10j - 9h) / f

In this case, it should be noted that when g is made the subject of the formula in fg - 9h = 10j, g will be g = (10j - 9h) / f.

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To solve for g in the equation fg - 9h = 10j, add 9h to both sides and then divide by f, resulting in g = (9h + 10j)/f.

To solve the equation fg - 9h = 10j for g, you need to isolate g on one side of the equation. This can be achieved by performing the following steps:

By following these steps, g is isolated and the equation is solved for g. Remember to apply the order of operations correctly when substituting any given values for f, h, and j.

Final answer:

To calculate the new price of an item after a 55% reduction from an original price of $75, you multiply $75 by 55% to get the reduction amount of $41.25. Subtracting this from the original price gives a new price of $33.75.

Explanation:

The student is asking how to calculate the new price of an item after a percentage decrease, specifically a 55% reduction from the original price. To find the new price, we can apply the percentage decrease to the original price and then subtract that amount from the original price.

Original price = $75
Percentage decrease = 55%

First, calculate the amount of the reduction:
Reduction amount = (Original price) × (Percentage decrease)
Reduction amount = $75 × 0.55
Reduction amount = $41.25

Now, subtract the reduction amount from the original price to get the new price:
New price = Original price - Reduction amount
New price = $75 - $41.25
New price = $33.75

So the new price of the item after a 55% reduction is $33.75.

Answer:

6y i literally just did the test

Step-by-step explanation:

Answer:

Option D. (x + 3)² + (y + 5)² = 36

Step-by-step explanation:

We have to find the equation of a circle given with a center at (-3, -5) and radius of 6.

Since the standard equation of a circle is

[tex](x -h)^{2}+(y-k)^{2}=r^{2}[/tex]

where (h, k) is the center and r is the radius.

Now we form an equation of a circle given with center (-3, -5) and radius = 6 units.

(x + 3)² + (y + 5)² = 6²

(x + 3)² + (y + 5)² = 36

Therefore Option D is the answer.

1 liter = 1000 milliliter

 so a liter is bigger

Answer:

The required function is [tex]h(T)=30\sin (\frac{\pi T}{15})+25[/tex].

Step-by-step explanation:

The general sine function is

[tex]y=A\sin (Bx+C)+D[/tex]             .... (1)

Where, A is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, C is phase shift and D is midline.

It is given that the maximum height above the ground is 55 feet and the minimum height above the ground is 5 feet.

The amplitude of the function is

[tex]A=\frac{Maximum+Minimum}{2}=\frac{55+5}{2}=30[/tex]

The Midline of the function is

[tex]D=\frac{Maximum-Minimum}{2}=\frac{55-5}{2}=25[/tex]

A ferris wheel rotates around in 30 seconds. So, the period of the function is 30.

[tex]\frac{2\pi}{B}=30\Rightarrow B=\frac{2\pi}{30}=\frac{\pi}{15}[/tex]

[tex]2\pi=30B[/tex]

Substitute A=30, [tex]B=\frac{\pi}{15}[/tex], C=0 and D=25 in equation (1), to find the required function.

[tex]y=30\sin (\frac{\pi}{15}x+0)+25[/tex]

The required variable is T. Replace the variable x by T. So the height function is

[tex]h(T)=30\sin (\frac{\pi}{15}T+0)+25[/tex]

Therefore the required function is [tex]h(T)=30\sin (\frac{\pi T}{15})+25[/tex].

Reza made monthly payments for 24 months to pay off her car after making a $4,500 down payment. The total cost of the car was $10,500, and she paid the remaining amount in installments of $250 per month.

Reza's car payments can be calculated using a simple algebraic function. She made an initial down payment of $4,500 and paid off the remaining balance with equal monthly payments of $250. The total cost of the car was $10,500. To find out how many months Reza made payments on the car, you can use the following function:

Total Cost = Down Payment + (Monthly Payment × Number of Months)

First, we subtract the down payment from the total cost:

$10,500 - $4,500 = $6,000

This is the amount Reza paid in monthly installments. Now we divide this amount by the monthly payment amount to find the number of months:

$6,000 / $250 = 24 months.

Therefore, Reza made payments for 24 months.

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a) Monthly deposit: $1,493.20. b) Total deposit: $537,552. c) Total interest earned: $262,448.

To solve these questions, we can use the formula for the future value of an annuity:

[tex]\[ FV = P \times \frac{{(1 + r)^n - 1}}{r} \][/tex]

Where:

[tex]- \( FV \)[/tex] is the future value of the annuity (the amount Jose wants to have at retirement).

[tex]- \( P \)[/tex] is the monthly deposit.

[tex]- \( r \)[/tex] is the monthly interest rate.

[tex]- \( n \)[/tex] is the total number of payments (number of years multiplied by 12, as there are 12 months in a year).

Given:

[tex]- \( FV = \$800,000 \)[/tex]

[tex]- \( r = 0.06/12 = 0.005 \) (monthly interest rate)[/tex]

[tex]- \( n = 30 \times 12 = 360 \)[/tex]

a) To find [tex]\( P \)[/tex]:

[tex]\[ P = \frac{{FV \times r}}{{(1 + r)^n - 1}} \][/tex]

Substitute the values:

[tex]\[ P = \frac{{800000 \times 0.005}}{{(1 + 0.005)^{360} - 1}} \][/tex]

Calculate [tex]\( P \):[/tex]

[tex]\[ P ≈ \frac{{4000}}{{(1.005)^{360} - 1}} ≈ \$1,493.20 \][/tex]

So, Jose needs to deposit approximately $1,493.20 each month.

b) Total money put into the account:

[tex]\[ Total\,Money = P \times n \][/tex]

Substitute the values:

[tex]\[ Total\,Money = \$1,493.20 \times 360 ≈ \$537,552 \][/tex]

Jose will put approximately $537,552 into the account over the 30 years.

c) Total interest earned:

[tex]\[ Total\,Interest = FV - Total\,Money \][/tex]

Substitute the values:

[tex]\[ Total\,Interest = \$800,000 - \$537,552 = \$262,448 \][/tex]

Jose will earn approximately $262,448 in total interest over the 30 years.

The ratio of gallons of high-gloss sold to the total gallons sold is,

D. 33 : 57

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The hardware store sold 33 gallons of flat paint and 57 gallons of high-gloss paint.

Therefore, The ratio of flat paint : high-gloss paint = 33 : 57.

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Answer:

The drop is -198 3/4

Step-by-step explanation:

subtract the $7 fee from the total first:

23.80-7 = 16.80 was spent on songs

 divide by cost of each song

16.80 / 0.20 = 84 songs were downloaded

Answer:

To diminish a portion to its most minimal terms by dropping to the least regular factor for both numerator and denominator or to gather a mathematical articulation by gathering and joining comparative terms. Working on makes an algebric articulation effectively reasonable and resolvable.

Step-by-step explanation:

To simplify any algebraic expression, the following are the basic rules and steps:

1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.

2. Use the exponent rule to remove grouping if the terms are containing exponents.

3. Combine the like terms by addition or subtraction.

4. Combine the constants.

The correct answer is:

24°.

Explanation:

To find the degrees of rotational symmetry, you divide 360° by the order of symmetry.

For a regular 15-gon, the order of symmetry is 15 (there are 15 vertices that the polygon can be turned to and be mapped onto itself).

This means the degrees of symmetry would be

360/15 = 24°.

Answer:

24

Step-by-step explanation:

A perfect square is a figure that can be conveyed as the product of two identical integers.

The first ten positive perfect squares are the following:

1 = 1 x 1

4 = 2 x 2

9 = 3 x 3

16 = 4 x 4

25 = 5 x 5

36 = 6 x 6

49 = 7 x 7

64 = 8 x 8

81 = 9 x 9

100 = 10 x 10

Answer:

The football game last for 11340 seconds.

Step-by-step explanation:

Football Game last for 3.15 hours

We have to convert this time into seconds.

First we convert it into minutes then into seconds.

We know that 1 hour = 60 minutes

⇒ 3.15 hour = 3.15 × 60 = 189 minutes

We also know that 1 minute = 60 seconds

⇒ 189 minutes = 189 × 60 = 11340 seconds

Therefore, The football game last for 11340 seconds.

His average percentile is 72%

A student passed 60 percent out of 20 quizzes, which can be expressed as  

[tex]\frac{60}{100}[/tex] x [tex]20[/tex]

[tex]60[/tex] x [tex]\frac{20}{100}[/tex]

[tex]\frac{1200}{100}[/tex]

[tex]12[/tex]  

Therefore the remaining quizzes will be:

[tex]50[/tex] - [tex]20[/tex]

[tex]30[/tex] quizzes

Also, we have to determine the 80% of 30 quizzes, which can also be expressed as

[tex]\frac{80}{100}[/tex] x [tex]30[/tex]

[tex]80[/tex] x [tex]\frac{30}{100}[/tex]

[tex]\frac{2400}{100}[/tex]

[tex]24[/tex]

To find the total remaining quizzes, then we have to add both value together

Therefore, we have

[tex]30[/tex] + [tex]24[/tex]

[tex]36[/tex]

Thus, the total remaining quizzes is 36.

Now, if the student writes 50 quizzes during the year, his average percentile would be:

[tex]\frac{36}{50}[/tex] x [tex]100%[/tex]

[tex]0.72[/tex] x [tex]100%[/tex]

[tex]72%[/tex]

Therefore, his average percentile is 72%

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Answer:

A,B,D ON EDGE. ASSIGNMENT

The statements that are true for triangle LMN are the 1st, 2nd and fourth options. That is

[] The side opposite ∠L is NM.

[] The side opposite ∠N is ML.

[] The hypotenuse is LN.

The question as well as the accurate diagram is shown in the attachment below.

To determine which statements are true for triangle LNM, we will observe each of the options one after the other.

In the diagram, the side opposite angle L is side NM

∴ The statement "The side opposite ∠L is NM" is true

In the diagram, the side opposite angle N is side ML

∴ The statement "The side opposite ∠N is ML" is true

In a right triangle, the hypotenuse is the longest side. It is the side opposite the right angle.

In the diagram, NM is not the side opposite the right angle. LN is the side opposite the right angle.

∴ The statement "The hypotenuse is NM" is not true

As stated above, LN is the side opposite the right angle. That is, LN is the hypotenuse.

∴ The statement "The hypotenuse is LN" is true

The side adjacent an angle is the side next to it.

In the diagram, side NM is not adjacent to angle L, it is opposite to angle L.

∴ The statement "The side adjacent ∠L is NM" is not true

In the diagram, side ML is not adjacent to angle N, it is opposite to angle N.

∴ The statement "The side adjacent ∠N is ML" is not true

Hence, the statements that are true for triangle LMN are the 1st, 2nd and fourth options. That is

[] The side opposite ∠L is NM.

[] The side opposite ∠N is ML.

[] The hypotenuse is LN.

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The quotient of the expression in scientific notation will be

⇒ 3.32 × 10³

Option D is true.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 302 divided by (9.1 x 10⁴)

Now,

Solve the expression as;

⇒ 302 divided by (9.1 x 10⁴)

Divide as;

⇒ 302 ÷ (9.1 x 10⁴)

⇒ 302 / 9.1 × 10⁴

⇒ 33.20 × 10⁻⁴

⇒ 3.32 × 10⁻⁴⁺¹

⇒ 3.32 × 10⁻³

Thus, The quotient of the expression in scientific notation will be

⇒ 3.32 × 10³

Option D is true.

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Your question: After 8 years, what is the total amount of a compound interest investment of $25,000 at 3% interest compounded quarterly?

Answer: $31,752.78

Good luck mate. Remember to look through notes and so-forth.

the answer is this :3