what is the domain and range?

Step-by-step explanation:

From the looks of it, Plan A is 25 + 2x and plan B is 40 + x.

Part A:

25 + 2x = 40 + x

x  = 15

plug in any: 40 + 15 = $55

Part B:

Plan A = $45

Plan B = $50

Plan B is $5 more expensive.

After 15 number of visits, both plans cost $55 and at the 10th visit, plan 2 is more expensive than plan 1.

Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.

Part A :

From the table, we can clearly express both plans as Arithmetic sequence.

Plan 1 : First term, a = 27 and common difference, d = 2

Plan 2 : First term, a = 41 and common difference, d = 1

Let n be the number of visits that both plans costs the same.

27 + 2(n - 1) = 41 + (n - 1)

27 + 2n - 2 = 41 + n - 1

2n + 25 = n + 40

n =  15

Cost = 41 + (15 - 1) = $55

Part B :

We have to find the 10th term.

For plan 1 :

Cost at 10th visit = 27 + 2(10 - 1) = $45

For plan 2 :

Cost at 10th visit = 41 + (10 - 1) = $50

The plan 2 is more expensive at the 10th visit.

Hence at the 10th visit, plan 2 is more expensive.

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The answer is below!

Q: Consider the possible solution to each inequality. Choose Yes or No for

each question

a. Is 8.3 a solution of 73.8 S 9x?

b. Is 6.5 a solution of 12x < 78?

c. Is -7 a solution of 9x > 45?

d. Is 17 a solution of 15 - X2-2?

e. Is 6 a solution of x + 12 > 18

Answer :

No

No

Yes

No

No

Answer: $443.32

Step-by-step explanation:

Hi, to answer this question we have to calculate perimeter of a semicircle:

P = π (d/2) + d

Where d is the diameter

Replacing with the values given:

P = 3.14 (23/2) + 23 = 59.11 feet  

Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.

59.11 x 7.50 = $443.32

Feel free to ask for more if needed or if you did not understand something.

Answer:

The better but is 3 for $3.33

12 for $13.32

Step-by-step explanation:

3.33/3 = 1.11

2.68/2 = 1.34

The better buy is 3 for $3.33

1.11 x 12 = 13.32

1.34 x 12 = 16.08

Answer:

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  That for a circle of diameter d is C = πd.  

If we assume that the measurements below are of radius, not diameter, then in A, 15.7 cm = 2(3.14)(r), so that r must be 2.5 cm.

Please be sure to share ALL of the instructions for each problem.

Circumference of the circle is 31.4 cm

Given that;

Value of π = 3.14

Radius of circle = 5 cm (Approx.)

Circumference of the circle = 2πr

Circumference of the circle = 2(3.14)(5)

Circumference of the circle = (10)(3.14)

Circumference of the circle = 31.4 cm

So, option "B" is the correct answer to the following question.

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Answer: the answer is down bellow

Step-by-step explanation:

x3-10oo Dimensions ft each S.

The dimensions of Carl's square swimming pool, given that its volume is 1000 cubic feet, are approximately 10 feet by 10 feet by 10 feet.

Carl's swimming pool is a cube since all sides are equal. The volume of a cube is calculated by cubing one side (s^3). In this case, knowing that the volume is 1000 cubed feet, we can find the side length by taking the cube root of the volume. The cube root of 1000 is approximately 10 feet. Hence, the dimensions of Carl's swimming pool are 10 feet by 10 feet by 10 feet.

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Answer:

Step-by-step explanation:Using the word "HAPPY" (let's distinguish the P's as P1 and P2). ... The first person is the president , the 2nd is the Vice President and the 3rd is the Secretary so it ... Q-Four different items have to be placed in three different boxes.

Final answer:

There are 720 different permutations for filling the three positions (president, vice president, and secretary) among ten students on the student council.

Explanation:

The question asks for the number of different permutations there are for three positions (president, vice president, and secretary) among ten students on the student council.

This is a classic permutation problem in which order matters.

To calculate this, we can use the formula for permutations of 'n' items taken 'r' at a time, which is denoted as nPr and calculated as

n! / (n-r)!

where

'!' denotes factorial.

For this case, with ten students (n=10), and selecting three positions (r=3), the calculation would be:

10! / (10-3)! = 10! / 7! = 10 x 9 x 8 = 720.

Therefore, there are 720 different permutations available for the three positions on the student council.

Answer:

Medium

Step-by-step explanation:

Cause that what it is.

Answer:

-770, -410, 310, 670

Step-by-step explanation:

-50 + 360 = 310

310 + 360 = 670

-50 - 360 = -410

-410 - 360 = -770

For the angle -50°, from the given options, the coterminal angles are: -770°,-410°, 310° and 670°.

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

You should replace w for integers numbers ≥ 1. Hence,

        β = -50± 360 * 1

         β = -50± 360

      Then, β can be -50+360=310° or -50-360= -410°

        β = -50± 360 * 2

         β = -50± 720

      Then, β can be -50+720=670° or -50-720= -770°

        β = -50± 360 * 3

         β = -50± 1080

      Then, β can be -50+1080=1030° or -50-1080= -1130°

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Answer:

The answer is D) 91.125 cm3

Step-by-step explanation:

Answer:

see the explanation

Step-by-step explanation:

we know that

The perimeter of rectangle is given by the formula

[tex]P=2(L+W)[/tex]

where

L is the length

W is the width

In this problem we have

[tex]P=322\ yd[/tex]

substitute

[tex]322=2(L+W)[/tex]

simplify

[tex]L+W=161\ yd[/tex]

so

The side lengths of the rectangle could be any pair of values whose sum must equal 161 yards

see the attached figure to better understand the problem

With the given height approximate the length of the rectangle

[tex]L=144\ ft[/tex]

Convert to yards

[tex]1\ yd=3\ ft[/tex]

so

[tex]144\ ft=144/3=48\ yd[/tex]

Find the width

[tex]48+W=161\\W=161-48\\W=113\ yd[/tex]

therefore

The side lengths of the rectangle could be 48 yd by 113 yd

Answer:

g[f(x)] = -2(3 - x) = -6 + 2x

Step-by-step explanation:

When we substitute the function f(x) for x in g(x) = -2x, we get the composition g[f(x)]:

g[f(x)] = -2(3 - x) = -6 + 2x

Final answer:

To find g[f(x)], we substitute (3 - x) from f(x) into g(x). The solution to g[f(x)] is -6 + 2x.

Explanation:

The question asks us to find the composition of the functions f(x) and g(x), specifically g[f(x)]. To do this, we first evaluate f(x) and then use that result as the input for g(x).

Given that f(x) = 3 - x, we substitute x in g(x) for the entire function f(x).

g(f(x)) = g(3 - x) since g(x) = -2x.

Now we replace the x in g(x) with (3 - x): g(3 - x) = -2(3 - x).

This simplifies to g(f(x)) = -6 + 2x.

The composition g[f(x)] is therefore -6 + 2x.

Step-by-step explanation:

Total songs = 36 + 72 = 108

[tex]required \: probability = \frac{72}{108} \\ \hspace{100 pt} = \frac{2}{3} \\ [/tex]

Hence, probabilty that next song will be longer than three minutes is [tex] \frac{2}{3}[/tex]

Final answer:

The probability  that the next song will be longer than three minutes is 2/3 or 66.67%.

Explanation:

The question concerns calculating the probability of selecting a song longer than three minutes from Stephanie's MP3 player. Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes.

To find the probability that the next song will be longer than three minutes, we add the total number of short and long songs to get the total number of songs. The total is 36 + 72 = 108 songs. Since probability is the number of favorable outcomes divided by the total number of outcomes, the probability of selecting a song longer than three minutes is 72 (favorable outcomes) divided by 108 (total outcomes).

This calculation gives us 2/3 or approximately 0.6667, meaning there is a 66.67% chance the next song will be longer than three minutes.

Answer:

c

Step-by-step explanation:

because you wount have a good esstimite you would only have the kids that start with G please mark as brainliest

Whole numbers between those two would be 11, 12, and 13.

Answer:

11, 12 & 13

Step-by-step explanation:

Whole numbers between 10.99 and 13.99 are 11, 12 & 13

Answer:

ray

Step-by-step explanation:

Answer:

C, a ray

Step-by-step explanation

1/3x Put the -8 in the place of the f(x) the subtract 9 you´re left with 1 then divde by 3x  and you're left with 1/3x

Answer: The net change to her banking account balance is $83.22.

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

She spent $36.50 plus 8% tax.  ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)

36.50 x (8/100) =$2.92 (value of tax)

Adding to the original cost

36.50+2.92 = $39.42

Then, she spent $25 to refuel her car at the gas station.

39.42 +25 = $64.42

She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase

23.50 x (20/100) = 4.7 (amount of discount)

Subtracting to the purchase

23.50 -4.7= $18.8

Finally, adding to the total cost.

64.42 +18.8 = $83.22

Final answer:

To find the net change in Rylee's banking account balance, calculate the tax on her clothing purchase, add the fuel cost, and then subtract the grocery discount from the grocery purchase before summing all costs to get a total of $83.22.

Explanation:

The problem of calculating the net change to Rylee's banking account balance is a typical Mathematics problem involving percentages and addition. This is commonly tackled at the High School level. To solve it, we will need to calculate the total cost of each of Rylee's expenditures, including the application of tax and discounts where applicable.

The net change to Rylee's banking account balance after all her purchases is $83.22.

Answer:

Februay

Step-by-step explanation:

By solving the system of equations representing the paths of the bullet and the skeet, we find that the bullet will reach the skeet 3.79 seconds after the skeet's release, at a height of approximately 120 meters.

This problem involves solving systems of equations to determine the interaction between a projectile and target, something commonly addressed in physics as well as in mathematics. The solution involves equalizing the equations[tex](h = -5t^2 +32t + 2)[/tex] modeling the height of the skeet and (h = 31.5t + 1) the path of Justin's bullet. By solving this system of equations we find two potential times, t = 3.79 s and t = 0.54 s.

Since we can reason the skeet won't get hit before it is released, disregard t = 0.54 s. Therefore, the bullet will hit the skeet 3.79 seconds after the skeet is released. This is the time it takes for the bullet to reach the skeet. To find the height at which the bullet hits the skeet, substitute t = 3.79 into either of the two original equations (both should work). Using h = 31.5t + 1, for instance, yields approximately h = 120 meters.

So, the bullet hits the skeet 3.79 seconds after the skeet is released, at a height of about 120 meters from the ground.

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Answer:

2

Step-by-step explanation:

a=4 so plug 4 in for a 4+(-b) now we know b=2 but it has to in for b so we would get 4+(-2) now solve 4+-2 or if you think about 4-2 is easier it's going to be 2.

Answer:

A

Step-by-step explanation:

Answer

probability of greater than 3 is 60%

not 5,6,7 or 8 is 60%

Answer:7/10

Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction

Answer:

about 28.27

Step-by-step explanation:

A=4πr2

Answer:

6

Step-by-step explanation:

because 6 times 6 =36 so the answer is 6

Answer:

6 ft

Step-by-step explanation:

We know that side * side equals area, and that squares have all sides the same length. So therefore, A = [tex]s^{2}[/tex].

If we know the area, then we can do [tex]\sqrt{36}[/tex] which equals 6

Answer:

0.7 per minute

Step-by-step explanation:

0.7 in the equation represents how much the tempeture was dropping per minute.

Answer:

Step-by-step explanation:

T=42-0.7T

T=42-0.7(0)

T=42-0

T=42

Answer:

The answer is 53 or Square Root (sqrt) of 2809

Step-by-step explanation:

a^2+b^2=c^2

28^2+45^2=c^2

784+2025=c^2

c^2=sqrt 2809

c = 53

The hypotenuse of the right triangle is h = 53 m

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of base of triangle BC = 45 m

The height of the triangle AB = 28 m

And , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying , we get

AC² = AB² + BC²

AC² = 28² + 45²

AC² = 784 + 2025

AC² = 2809

Taking square roots on both sides , we get

The measure of hypotenuse AC = √2809 = 53 m

Hence , the measure of hypotenuse is 53 m

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