A new recreational sports center opens with 65 members. Each month the membership
increases by 12 members. Which equation represents the relationship between the
number of months the club has been opened, x, and the total recreational sports center
membership, y?
A y = 12x
B y = x + 12
C y = 12x + 65
D y = 65x + 12

Answer:

\(g^{-1}\) (x) = \(\frac{x+11}{4}\)

Step-by-step explanation:

let y = g(x) and rearrange making x the subject, that is

y = 4x - 11 ( add 11 to both sides )

y + 11 = 4x ( divide both sides by 4 )

\(\frac{y+11}{4}\) = x

Change y back into terms of x , with x = \(g^{-1}\) (x) , thus

\(g^{-1}\)(x) = \(\frac{x+11}{4}\)

The remaining two angles of the given isosceles triangle is Option(C) 40°,70° .

For an isosceles triangle, the two sides of the triangle are congruent and equal in length . Also the angles subtending the adjacent equal sides of the isosceles triangle are of same measure.  

We also know that the sum of the three interior angles of any triangle is always equal to 180° .

In the options given, in Option(C) the angles measure 40° and 70° .

Thus as one angle of the isosceles triangle is given to be 70°, the other angle of its adjacent side is also 70° .

The sum of the interior angles of the triangle is equal to -

70° + 40° + 70° = 180° which satisfies the property.

Therefore, the remaining two angles of the given isosceles triangle is Option(C) 40°,70° .

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The dependent variable can be defined as a variable that depends on other variables. In other words, it is the variable being measured or tested in an experiment and is therefore the outcome of interest.

From the given answer options, the dependent variable is "time to complete the maze."What is the dependent variable?The dependent variable is the outcome variable that is influenced by the independent variable or experimental variable.

The dependent variable can be defined as a variable that depends on other variables. It is the variable being measured or tested in an experiment and is therefore the outcome of interest.In the given options, "time to complete the maze" is the dependent variable since it depends on the independent variable (receiving a food award or not) and will be affected by it. Therefore, it is the variable being measured in the experiment.

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Answer:

The set of rational numbers is closed under addition, subtraction, multiplication, and division (division by zero is not defined) because if you complete any of these operations on rational numbers, the solution is always a rational number Page 8 11.

Step-by-step explanation:

1) Including testimonials , Sending free trial samples techniques overcome resistance and help build credibility .Option (b,c)

2) A postscript should the final paragraph of your sales message include option (A)

1) The best way to overcome resistance is through persistence, patience, and understanding. Show empathy, communicate clearly and establish trust. Provide clear incentives and benefits to encourage change, and offer support throughout the process. Use positive reinforcement, celebrate small wins, and emerge as a positive role model.

2) A postscript is a brief additional note at the end of a letter or document. It is used to convey important information that was not included in the main body of the text. Sometimes, a postscript can be used to add a personal touch or to emphasize a point.

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Full Question: 1) What techniques overcome resistance and help build credibility? Check all that apply.

A. Sending unwanted merchandise

B. Including testimonials

C. Sending free trial samples

D. Using misleading statements

2) What should the final paragraph of your sales message include? Check all that apply.

A. A postscript

B. A puffery claim

C. A misleading statement

D. A punch line

Answer:

1- -5, 7

2- 5,12

3- -5,0

4- 5,-7

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

-30,6

:)

Answer:

28.76 °F

Step-by-step explanation:

The temperture of sea ice frozen ocean water is about -1.8 °C .

We are to convert to a temperture in fahrenheit using the formula F=(c) (9/5)+32

°C = -1.8°C

°F=(c) (9/5)+32

= [(-1.8°C × 9/5) + 32]°F

= [-16.2/5 + 32]°F

= [-3.24 + 32]°F

= 28.76°F

Answer:

c(0) = 24*0 = 0  

c(8) = 24*8 = 192  

Your range is [0,192]

Step-by-step explanation:

Answer:

You have 8 cups of flour it takes 1 cup of flour to make 24 cookies the function c(f)=24f

c represents the number of cookies

f represents the cups of flour

You have 8 cups of  flour, we can use only 0 to 8 cups of flour.

so domain f is 0 to 8 cups [0,8]

Now we find the range

1 cup of flour to make 24 cookies

So 8 cups of flour = 24* 8 = 192 cookies

using 8 cups you can make 192 cookies

So number of cookies is from 0 to 192

Range is [0,192

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

you subtract

Answer:

Janelle ate 4/12 of the Cake

Step-by-step explanation:

The answer is 4/12 because 3/4 and 1/3 need to have the same denominator so we change them into 3/4 = 9/12 and 1/3 = 4/12 so the answer is 4/12.

P.S Can I have brainliest?

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

Answer:

24

Step-by-step explanation:

6 x 3 = 18 + 6= 24

Step-by-step explanation:

a decimal or fraction is non-terminating if it not divided by a multiple of 2 and 5.

therefore, all but except option D is divided by 3. So, the non-terminating decimal or fraction will be option D = 10/3 .

hope this helps you.

The estimated value of the infinite sum [infinity] (2n + 1)−9 n = 1 is 0.00253, correct to five decimal places.

To estimate the sum, we can use the formula for the sum of an infinite geometric series, which is a/(1-r), where a is the first term and r is the common ratio.

In this case, the first term is (2(1) + 1)−9 = 1/512, and the common ratio is 2/3. Therefore, the sum can be estimated as (1/512)/(1-(2/3)) = 1/2560 = 0.000390625.

However, since this only gives us two decimal places of accuracy, we need to add more terms to the sum to get a more accurate estimate. By adding more terms using a calculator or computer program, we find that the sum converges to approximately 0.00253, correct to five decimal places.

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Answer:

128 Apples

Step-by-step explanation:

Answer:

128 apples

Elaborated:

Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!

The sequence can be used to find exact values when the level of the pattern increases or decrease

The mathematical expression that connects the number of tiles and the grouping method is presented as follows; tₙ = 9 + (n - 1)× 3

From the given diagram, we have that the number of green tiles = 18

Grouping method 1 has 15 green colored tiles with Figure size 3

We have;

Grouping method 1

The figure size number of the shape with 15 green colored tiles = 3

Grouping method 2, figure size 4

The figure size number of the shape with 18 green colored tiles = 4

The size number of the shape with 12 green colored tiles = 2

The size number of the shape with 9 green colored tiles = 1

Therefore the sequence is an arithmetic progression having the following characteristics;

nth term, tₙ = a + (n - 1)·d

In the first term, a = 9

The common difference, d = 3

The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3

Where;

n = The grouping method number

The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3

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Step-by-step explanation:

You need to find the total number of students the pie chart will represent:

17 + 35 + 38 = 90

So you know, 360° represents 90 people

You can then find out the angle for each person: 360 ÷ 90 = 4

Each person is 4°

a)

1. 17 people took French so you would do 4° × 17 = 68°

2. 35 people took German so you would do 4° × 35 = 140°

3. 38 people took Italian so you would do 4° × 38 = 152°

b)

17 out of 90 people chose french so the probability would be 17/90

The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

Answer:

100%

Step-by-step explanation:

Since 56/56 employees at the sports shop work part time, that means 100% of them do, or all of them.

Answer:

Step-by-step explanation:

180-96

180-96 = 84

96 + 84 = 180

Answer:

84

Step-by-step explanation:

Let x equal how much 96 is plussed by to get 180.

96 + x = 180

Switch the equation to subtraction:

180 - 96 = 84

Now, let's check our work!:

96 + 84 = 180

Hope this helps!

2034.72ft³ is the required cylinder volume.

The capacity of a cylinder determines how much material it can carry, or we may say that the volume of a cylinder is the total number of unit cubes that can fit inside of it.

The volume of a cylinder is r²h, and its surface area is 2πrh+2πr².

The volume of cylinder Formula: V = A × h

We will assume the cylinder is a right circular cylinder.

Then, we have the formula:

V = πr²h

We already know:

Radius = 6ft

Height = 18ft

Now, calculate the volume as follows:
(V) = π× 6² × 18

(V) = 2034.72ft³

Therefore, 2034.72ft³ is the required cylinder volume.

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Answer:

$7.14

Step-by-step explanation:

If each pound of cheese is $5.95. You just have to find out how much 1.2 pounds is worth. So, you multiply 5.95 times 1.2 pounds and you'll get $7.14

Multiplication is the process of multiplying. The total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the rate of cheese per pound is $5.95 per pound. Therefore, the amount that Caleb needs to make for 1.2 pounds of cheese is,

Total Amount = $5.95/pound × 1.2 pounds

                       = $7.14

hence, the total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.

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The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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Answer:

B

Step-by-step explanation:

Complementary angles add to 90°.

Answer:

1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

Answer:

Step-by-step explanation:

let distance=d

d²=4²+(2+4)²=16+36=52=4×13

d=2√13

Answer:

i don't really

Step-by-step explanation:

know that because i am in 6th grade soooooooooooooooooo??????

Answer:

59

Step-by-step explanation:

Since it says round to the nearest tenth of a foot, I might be wrong. But anyways I hope this helps!

The height of the building that has a 34 foot ladder rested on it with a distance of 25 feet is 23.0 feet.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The isdes of the triangle can be found using pythagoras theorem.

Therefore, the length of the ladder is the hypotenuse of the triangle. The distance form the bottom of the ladder to the bottom of the building is the adjacent side.

The height of the building is the opposite side of the triangle. Therefore,

c² = a² + b²

34² - 25² = b²

b = √1156 - 625

b = √531

b = 23.0434372436

b = 23.0

The height of the building is 23.0 feet.

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Let the magazine be m and the eraser be e. Then the total cost is 25.

The equation can now be shown as follows;

Therefore each eraser cost $5

To determine the number of distinct answer keys for the True-False test, we need to consider the number of ways we can assign either "True" or "False" to each statement.

For each statement, there are 2 possibilities: either it is true or false. Since there are 10 statements in total, the total number of distinct answer keys can be calculated as 2 raised to the power of 10:

2^10 = 1024

Therefore, there can be 1024 distinct answer keys for the True-False test.

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