Alex helps his father milk cows on their dairy farm. They are paid $2.25 per gallon of milk that they get from their cows. Together, Alex and his father are able to milk 12 gallons over a 2-hour period. How much money could Alex and his father expect to earn if they worked for 10 hours?

Answer:

6

Step-by-step explanation:

y=k*x

180=k*n

n=k*5

180=k*k*5. so k*k=36, k=6

Answer:

As given

y varies directly as x

thus

y = kx

Where k is the constant of proportionality .

As given

y is 180 when x is n

180 = kn

y is n when x is 5

n = 5k

Compare the value of k .

solving

n² = 900

n = √900

n = 30

Therefore the value of n is 30 .

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:

\(\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}\)

4/13 is our final simplified answer

I hope this helps!

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Nο, it is nοt pοssibIe fοr three sides οf a quadriIateraI tο have equaI sIοpes.

SIοpe is a measure οf the steepness οf a Iine. It is defined as the change in y-cοοrdinate divided by the change in x-cοοrdinate between any twο pοints οn the Iine. It is the ratiο οf the verticaI change tο the hοrizοntaI change between twο pοints οn a Iine. The sIοpe οf a Iine can be pοsitive, negative, zerο οr undefined.  SIοpe is οften denοted by the Ietter m, and it can be caIcuIated using the fοrmuIa: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any twο pοints οn the Iine

Nο, it is nοt pοssibIe fοr three sides οf a quadriIateraI tο have equaI sIοpes. This is because if three sides had the same sIοpe, then the fοurth side wοuId need tο have a different sIοpe in οrder tο cIοse the quadriIateraI. This wοuId resuIt in οppοsite sides οf the quadriIateraI nοt being paraIIeI, which cοntradicts the definitiοn οf a quadriIateraI.

Therefοre, it is nοt pοssibIe fοr a quadriIateraI tο have three sides with equaI sIοpes.

Furthermοre, it is impοrtant tο nοte that nοt aII quadriIateraIs have sIοpes fοr their sides. OnIy quadriIateraIs with sides that are nοt verticaI have sIοpes. In generaI, the sIοpes οf οppοsite sides οf a paraIIeIοgram are equaI, but in οther types οf quadriIateraIs, the sIοpes οf οppοsite sides may be different.

Hοwever, regardIess οf the type οf quadriIateraI, it is nοt pοssibIe fοr three sides tο have the same sIοpe.

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The linear function graphed is defined as follows:

y = 3x/2 - 3.

(third option).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = -3.

When x increases by 2, y increases by 3, hence the slope m is given as follows:

m = 3/2.

Then the function is defined as follows:

y = 3x/2 - 3.

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Each triangle can be classified by its angles and sides in the following ways :

The value of the z-score for the number 15  in a data set is 0.93.

Define z-score.

A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.

You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.

                     ∴  z = (x – μ) / σ

Given:

σ = 4.32

x = 15

Data set: 5, 7, 9, 11, 13, 15, 17

So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7

                = 77/7

            μ = 11

z = (x – μ) / σ

  = (15 - 11)/4.32

   = 4/4.32

z  = 0.93

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Answer: it’s a

Step-by-step explanation:

Answer:

12-4

Step-by-step explanation:

Answer:

400.

Step-by-step explanation:

50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.

Answer:

400

Step-by-step explanation:

just did the work

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

Yes! It's a solution :)

Step-by-step explanation:

Answer:

y=16

Step-by-step explanation:

y=3x-5

let try 7 for x

y=3(7)-5

y=21-5

y=16

So the first ordered pair would be (7,16). You can choose any value for x and find a result for y to make an ordered pair

Answer:

1. Is a continuous random variable

2. Is a discrete random variable

3. Is not a random variable

Step-by-step explanation:

1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.

2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.

3. Political party affiliation is not a random variable.

Thank you!

The length of the base of the triangle is 8 yards whose height is half of 28 yards.

A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.

The following formula provides the area of a triangle:

Area = (1/2) x base x height

We are given that the height of the triangle is half of 28 yards, which is:

height = 1/2 x 28 = 14 yards

We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:

56 = (1/2) x base x 14

Simplifying this equation, we get:

56 = 7 x base

Dividing both sides by 7, we get:

base = 8

Therefore, the length of the base of the triangle is 8 yards.

The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.

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Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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Answer:

They average 84%

Step-by-step explanation:

Just add 77 and 91 then divide it by 2. Hope this helps.

Answer:

83 is the correct answer if you just do it by adding 91 and 77 then diving it by 2 you would get 84 that is not what answer they are looking for. Took the test 83 is what they are looking for they want you to do the work.

Step-by-step explanation:

Tenth graders 12*77= 924

Eleventh graders 9*91= 819

924+819= 1,743

12 tenth graders and 9 eleventh graders

12+9 = 21

1,743/21 = 83

Answer:

2 ÷ 1/2 is 4

Step-by-step explanation:

Then 62.5% of the campers at the Wild Outdoors camp this morning will be horseback riding

To find the percentage of campers that will be horseback riding, we need to first add the ratio together to get the total number of parts. In this case, the ratio of horseback riding to canoeing is 5:3, so there are 5 + 3 = 8 parts in total.

To find the percentage of campers that will be horseback riding, we divide the number of parts for horseback riding by the total number of parts, then multiply by 100 to get the percentage.

So, 5 parts out of 8 parts are for horseback riding. This is equivalent to 5/8 or 0.625 as a decimal. To find the percentage, we multiply by 100, which gives us 62.5%.

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Answer:

The pair of numbers is (3,3) while the maximum product is 9

Step-by-step explanation:

The pairs of numbers whose sum is 6 starting from zero is ;

0,6

1,5

2,4

3,3

Kindly note 2,4 is same as 4,2 , so there is no need for repetition

So the maximum product is 3 * 3 = 9 and the pair is 3,3

Step-by-step explanation:

hope this helps :)

a. The speed limit is mg/c.This limit is the speed of the object as it falls, i.e., the object’s terminal velocity.

b. In a vacuum, the velocity (v) = gt, and the velocity of the falling object is directly proportional to the time for which it has been falling. That is, in a vacuum, the object’s speed continues to increase without bounds.

a. If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is

v = mg/c (1 − \(e^{-ct/m}\))

where g is the acceleration due to gravity and c is the positive constant proportionally relating the air resistance to the speed.

\(\lim _{t \rightarrow \infty} \frac{m g}{c}\left(1-\mathrm{e}^{-c t / m}\right)\)

\(=\lim _{t \rightarrow \infty} \frac{m g}{c}\left(1-\frac{1}{\mathrm{e}^{c t / m}}\right)\)

and  \($t \rightarrow \infty, \frac{1}{\mathrm{e}^{c t / m}} \rightarrow \infty$\) since both c and m are positive entities, so

= mg/c(1 - 0)

= mg/c

This limit is the speed of the object as it falls, i.e., the object’s terminal velocity

b. Here, as c → 0+, the effect of air resistance is approaching zero, so the object falls as if in a vacuum.

\(\lim _{t \rightarrow \infty} \frac{m g}{c}\left(1-\mathrm{e}^{-c t / m}\right)\)

\(=\lim _{t \rightarrow \infty} \frac{m g}{c}\left(1-\frac{1}{\mathrm{e}^{c t / m}}\right)\)

as c → 0+, e−ct/m → 1, so

\(=\frac{m g}{c}\lim _{t \rightarrow 0^{+} } \left(\frac{1 - {e}^{-c t / m}}{c}\right)\)    tends to 0

Hence, applying l’Hospital’s Rule with respect to c, we get,

\(=\frac{m g}{c}\lim _{t \rightarrow 0^{+} } \left(\frac{0 - {e}^{-c t / m}(\frac{-t}{m} )}{1}\right)\)

= mg (t/m)

= gt

Thus, in a vacuum, v = gt, and the velocity of the falling object is directly proportional to the time for which it has been falling. That is, in a vacuum, the object’s speed continues to increase without bounds.

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Answer: 2x2-16x+30

Step-by-step explanation:

Here we have to find p(q(x))

q(x) =x -3  

we will plug value of q(x) in x of p(x)

p(x) =2x2-4x

p(q(x)) = 2(x-3)2-4(x-3)

           = 2(x2-6x+9)-4(x-3)

           =2x2-12x+18 -4x+12

           =2x2-16x+30

Answer:

6

Step-by-step explanation:

The vertical axis represents the number of states and the horizontal axis represents the population. Looking at the highest bar, we can say that most of the states have a population of 0 to 5 million people.

No state has a population of between 30 and 35 million people

Answer:

There are 137,280 feet in 26 miles.

Step-by-step explanation:

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We know that there are 5,280 feet in a mile.

So, the solution would be;

26 x 5,280 = 137,280

Thus, There are 137,280 feet in 26 miles.

Answer:

yes-

Step-by-step explanation:

im not to sure if its right but

7+7=14

12+12=24

Answer:

No you dont have to solve it. And I believe it is perpendicular.

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

you have to solve both. If you make the lines in a graph it will turn out to be perpendicular because they are going to intersect.

- 4x + 3y = - 11

3x - 2y = 8

A. Multiply the top equation by -3 and the bottom equation by 4

B. Multiply the top equation by 3

C. Multiply the top equation by 2 and the bottom equation by 3

D.Multiply the bottom equation by 4

Answer:

C. Multiply the top equation by 2 and the bottom equation by 3

Step-by-step explanation:

-4x+3y=-11

3x-2y=8

If you multiply the top equation by 2 and the bottom equation by 3 you get

-8x+6y=-22

9x-6y=24

And you can see once you add these equations together the y variable will be canceled out

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation: