(functions) The debate club started with 3 students. The number
of students participating in the club doubles every
year. How many students will participate in debate
club after four years?
Please type your equation as well as your final answer and any steps in between.

Answer: 12

Step-by-step explanation:  7 1/2 divided by 5/8 equals 12.

Answer:

12

Step-by-step explanation:

7 1/2 = 15/2

15/2 divided by 5/8 = 12

Hope this helps

The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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The least integer is 15 in the given arithmetic question

Any number that is not zero, a positive natural number, or a negative number denoted by a minus sign is an integer. The opposites of their corresponding positive numbers, the negative numbers are additive. The blackboard bold \(\mathbb {Z}\) or boldface Z are frequently used in mathematical notation to represent a set of integers.

Find the smallest positive integer such that 2940 is a perfect cube i such that 2940 is a perfect cube

2940=2×2×3×5×7×7

⇒2940=2²×7²×3×5

when we multiply by(3×5=15)then 2940 is a perfect square

The least integer is 15

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Answer:

58.50

Step-by-step explanation:

Multiply 50 and .17 which equals 8.5 then add that to 50.

The amount of money in the account in December with a rate of 17% of the initial amount of $50 is $58.5.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A teenager puts $50 into an investment account in January.

Let, he deposited on first January.

If by December the balance in the account increases by 17%,

Let the amount by the 31 first of December will be

Then the amount will be given as

\(A = P (1 + \dfrac{r}{100})^t\)

P = $50

r = 17%

t = 1

Then we have

\(\rm A = 50(1 + \dfrac{17}{100})^1\\\\A = 50(1 + 0.17)\\\\A = 50 * 1.17 \\\\A = 58.5\)

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Answer:

m = 5

Step-by-step explanation:

Given

\(\frac{m-2}{6}\) = \(\frac{1}{2}\) ( multiply both sides by 6 to clear the fraction )

m - 2 = 3 ( add 2 to both sides )

m = 5

========================================================

Explanation:

8 jars need 1.8 kg of caster sugar.

Cut each value in half to see that 4 jars need 0.9 kg of caster sugar.

Convert 0.9 kg to grams to get 900 grams (multiply by 1000 to go from kg to grams).

Jayne needs 900 grams of caster sugar. She has 860 grams already, which means she needs an additional 900-860 = 40 grams

This is a classic river crossing puzzle. To safely get all three across take the goat across, leave the goat, take the lion across, take the cabbage across,  return with the empty boat, Take the goat across to reunite with the cabbage and lion

Here's one possible solution:

By following these steps, you will have successfully transported all three items across the river without violating the rules.

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Bianca will earn interest of $382.5 for a period of 3years.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same.

Simple interest is calculated with the following formula:

S.I. = P × R × T,

where P = Principal, R = Rate of Interest in % per annum, and T = Time

Given,

Principal P = $3000

Rate of interest R = 4.25% = 4.25/100 = 0.0425

Time T = 3 years

Simple interest S.I. = P × R × T

                               = 3000 × 0.0425 × 3

                               = 127.5 × 3

                       S.I.   = $382.5

Hence, Interest Bianca will earn in 3 years = $382.5

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Answer:

A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.

Step-by-step explanation:

www.ck12.org

Answer:

A thorem is true and can be proven true vs a postulate is guessed true without any evidence.

Step-by-step explanation:

A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.

Answer:

It is d. 3/2

Step-by-step explanation:

slope formula is rise over run or x2-x1/y2-y1. So it would be 6-0/4-0. That equals 6/4. You just need to simplify that by dividing both 6 and 4 by 2 and you get 3/2.

Step-by-step explanation:

what are you doing with the points then I can help you

Answer:

2

Step-by-step explanation:

3(4+2)/9= 3(6)/9=18/9 = 2

Answer:

2

Step-by-step explanation:

3(4+2)/9=(12+6)/9

=18/9

=2

Answer:

The area of a rectangle with length 4 cm and width 6 cm is 24 square cm. To find the area of a semi-circle, we use the formula for the area of a circle and divide by 2. The formula for the area of a circle is πr^2, where r is the radius. The radius of the semi-circle is half the width of the rectangle, so r = 6/2 = 3 cm. Thus, the area of the semi-circle is π(3^2) = 9π square cm.

The total area of the figure would be the sum of the area of the rectangle and the semi-circle, so the answer would be 24 + 9π square cm.

Answer:

x = 15, y = 4

Step-by-step explanation:

x / 5 = 18 / 6 (side splitter theorem)

6x = 90

x = 15

15 / 5 = 12 / y (side splitter theorem)

15y = 60

y = 4

Answe

Step-by-step explanation:

cuanto es 3,072 en fraccion ?

Answer:

y = -x + 2

Step-by-step explanation:

[slope-intercept form] y = mx + b

m [slope] = ∆y/∆x = y₂–y₁ / x₂–x₁

b [y-intercept] = (0,b) → x = 0.

If y = 2 when x = 0, b = 2.

Since y decreases by 1 unit everytime x increases by 1 unit

a decrease by 1 unit is represented by -1, and an increase of 1 is represented by 1.

So a decrease of -1 over an increase of 1

is -1/1 = -1 = m.

Answer:

Step-by-step explanation:

yes they are both congruent because if you were to take one triangle and put it over the other it would match.

Answer:

congruent by a rotation of 180 degrees around point R

Step-by-step explanation:

when rotating a shape positively is always a counterclockwise rotation and S is congruent to P T to Q and R to R

When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.

This is the formula :

\(\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}\)

y2 and y1 are y-coordinates, and x2 and x1 are x coordinates

Plug in the values :

\(\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}\)

\(\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}\)

Which simplifies to \(^7/_7\), or 1

1 (Option D.)

hope helpful ~

Cross sectional data are collected from several entities at the same point in time.

In statistics and econometrics, cross-sectional data, often known as a cross section of a research population, is a type of data gathered by watching numerous participants all at once. It's also possible that the analysis disregards variations in time.

You evaluate a data set at a certain point in time when you conduct a cross-sectional data analysis. Cross-sectional data is frequently sourced from surveys and public records. The datasets document observations of various variables at a specific time.

In conclusion, the correct option is A.

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Answer:

it is 2mm long

Step-by-step explanation:

16x0.125=2 so it is 2mm long

Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

λ = 1/mean = 1/1000 hours

x= 2000 hours

F(x) = 1 - e^−(1/1000)2000

F(x) = 1 - e^−2

= 0.8646647168

Therefore, the probability the the circuit will last at least 2000 hours = 0.865

The function y = 3 + 6x represents the data given in the table.

What is a function?

A function is a relationship between two sets of numbers, called the domain and the range. It is a rule that assigns to each element of the domain exactly one element of the range. In other words, a function is a set of ordered pairs (x, y) where each value of x is associated with a unique value of y.

The output (y) increases by 6 each time the input (x) increases by 1. Therefore, we can conclude that the relationship between x and y is a linear one with a slope of 6 and a y-intercept of 3.

The function rule that represents the data in the table is:

y = 6x + 3

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The ratio of the number of students who have chocolate to the total number of students  is \(\frac{5}{22}\)

In the above question it is given that,

There are students some of them have gotten the vanilla ice-cream and some have chocolate ice-cream

The total number of students are = 22

The number of students who had vanilla ice-cream are = 17

The number of students who had chocolate ice-cream are = 22 - 17 = 5

We need to find the ratio of the number of students who have chocolate to the total number of students

Therefore, the ratio of the number of students who have chocolate to the total number of students = \(\frac{5}{22}\)

Hence, the ratio of the number of students who have chocolate to the total number of students  is \(\frac{5}{22}\)

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Answer:

hello

Step-by-step explanation:

-7t-1=20

-7t=20+1

-7t=21

t=21÷(-7)

t=-3

-7×(-3)-1=20

have a great dayyyy

Cost of per pound of the butter at the dairy for Emiri will be is 3.84 dollars.

Given, that 4.25 pounds of butter cost $16.32 .

Division: It is the basic mathematical operation among multiplication, addition and subtraction.

Total butter bought by Emiri = 4.25

Cost of 4.25 pounds of butter = $16.32

Apply unitary method for the cost of per pound of butter.

So,

4.25 pounds ⇒ $16.32

Divide both sides by 4.25,

1 pound ⇒ 16.32/4.25

1 pound ⇒ $3.84

Therefore the cost of per pound of butter is 3.84 dollars.

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The answer is C, 1179 grams. To calculate the total weight of the bunch of 9 bananas, we need to find the average weight of the bunch of 8 bananas.

It is calculated by taking the sum of all the weights during the period, then dividing it by the number of weights recorded.

To calculate the total weight of the bunch of 9 bananas, we need to find the average weight of the bunch of 8 bananas.

To do this, we add the weights of each banana in the bunch

(138 + 118 + 121 + 164 + 140 + 115 + 129 + 123 = 1048)

and divide by the total number of bananas (8).

This gives us the average weight of the bunch of 8 bananas, 131 grams. Adding 131 grams to the weight of the 9th banana gives us

= 131+1048

= 1179

Total weight of 1179 grams, which is the closest to the given choices.

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Answer:

You should take help from your friend in searching her

Step-by-step explanation:

If you have photo then, you must ask other to help you.

I Don't know what to do

But maybe this will be helpful

Answer:

44.77

Step-by-step explanation:

13.1x3.70=13.1x3.7

37x131=4477

get back the decmial point 44.77

Answer:

= 1 ± √ 5 over 2

Step-by-step explanation:

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

Anh traveled 10 miles on the coastal access road at 3x mph speed, taking 30 minutes to complete the journey. The total time taken on the highway is 100/x + 30 minutes, meaning the total time taken for the entire trip is 100/x + 30 minutes.

Let's assume the speed on the coastal road be x mph∴ speed on the highway will be 3x mph Speed = distance/time⇒ time = distance/speed Total time taken = time taken on highway + time taken on coastal road Anh traveled 10 miles on the coastal access road .x mph speed and took 30 min to complete this journey. Total time taken on the coastal road = 30 min To find the time taken on the highway: Speed on the highway = 3x mph Distance covered on the highway = 50 miles Time taken = distance/speed Time taken on the highway= 50/ (3x) hour

= 50/(3x) × 60 minutes= 100/x minutes Total time taken = time taken on highway + time taken on coastal road Total time taken= 100/x + 30 minutes Therefore, the time taken for Anh's entire trip is Expression 100/x + 30 minutes.

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