Name
Date
8. The graph below represents the number of containers and liters of water
contained in the containers. What is the constant of proportionality?
60
Water (liters)
10 15 20
Number of Containers
25
I
I
9. The graph below represents the number of mennte that

Answer:it will be 20 inches long at the end of 5 weeks

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

i got it wrong and it showed me the real answer

Answer:

(5 , 1)

Step-by-step explanation:

coordinate point is (2 , 9)

translation rule is

(x , y) = (x + 3 , y - 8)

here x is 2 and y is 9

so  the new coordinate will be

(x + 3 , y - 8)

(2 + 3 , 9 - 8)

(5 , 1)

Answer:

Make 7/5 and 1/8 have a common denominator, which is 40.

7/5 x 8/8 = 56/40(minutes driving to her home)

1/8 x 5/5 = 5/40 she spends

Mu X is a statistical concept used to measure the difference between two means.

It is calculated by subtracting the mean of one group from the mean of another group. Mu X is often used to compare the means of two or more groups, or to compare the means of two subgroups within a group. It can also be used to measure the relative size of a group's mean compared to the grand mean or the size of a group's mean compared to the mean of another group. Mu X is a useful tool for distinguishing between true and false differences between two means. It is also useful for understanding the relative importance of different factors in a study. Mu X is sometimes referred to as the difference in means or the mean difference, and it is an important concept in inferential statistics.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

C

Step-by-step explanation:

Because the ratio between 128 and -32 is the same as the ratio between -32 and 8

Answer:

C

Step-by-step explanation:

The sequence has a common ratio r between consecutive terms

r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-32}{128}\) = - \(\frac{1}{4}\)

r = \(\frac{a_{3} }{a_{2} }\) = \(\frac{8}{-32}\) = - \(\frac{1}{4}\)

Thus the sequence is geometric with common ratio r = - \(\frac{1}{4}\)

A right pyramid with an equilateral triangular base has a lateral face with a surface area of 75 square meters. The side of the base of a slant with a height of 30 meters is 5 meters long.

Let’s call the side length of the equilateral triangular base “s”. We know that the area of one lateral face is 75 square meters, and that face is a triangle with base s and height 30 meters (the slant height). We can use the formula for the area of a triangle to solve for s:

Area = (1/2) * base * height

75 = (1/2) * s * 30

Simplifying the equation, we get:

75 = 15s

s = 75/15

s = 5

Therefore, the length of the side of the equilateral triangular base is 5 meters.

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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To determine the financial advantage or disadvantage of discontinuing the beta product line, more information would be needed regarding the costs and revenues associated with the beta product. Without specific data on costs and revenues, an exact financial advantage or disadvantage can nor be determined.

To determine the financial impact, you would typically compare the revenues generated by the beta product line with the costs associated with producing and selling it. Here are some key considerations:

Revenues: Calculate the total revenue generated by selling 55,000 betas per year. This would require knowing the selling price of each beta unit and multiplying it by the quantity sold.

Costs: Determine the various costs associated with the beta product line, which may include production costs, labor costs, marketing expenses, distribution costs, and any other costs specific to the production and sale of betas. Add up these costs to obtain the total cost of producing and selling 55,000 betas per year.

Compare Revenues and Costs: Subtract the total costs from the total revenues to obtain the net profit (or loss) associated with the beta product line. This calculation will help you understand the financial advantage or disadvantage of continuing the product line.

If the net profit is positive, discontinuing the beta product line would result in a financial disadvantage, as it would eliminate a source of profit. On the other hand, if the net profit is negative, discontinuing the beta product line could lead to a financial advantage by reducing losses.

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The zeros of the function are x=1 and x=3, and the minimum value of the function is at x=2.

What is the polynomial function?

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

To find the zeros, we set the function equal to zero and solve for x:

(2x-2)(x-3) = 0

This equation is true when either 2x-2=0 or x-3=0. Solving for x in each case, we get:

2x-2=0  =>  x=1

x-3=0  =>   x=3

So the zeros of the function are x=1 and x=3.

To find the maximum or minimum value of the function, we can take the derivative of the function and set it equal to zero:

f'(x) = 4x - 8

4x - 8 = 0  ---->  x = 2

So the critical point of the function is x=2. To determine if this point is maximum or minimum, we can use the second derivative test:

f''(x) = 4

Since f''(2) > 0, the function has a minimum at x=2.

Therefore, the zeros of the function are x=1 and x=3, and the minimum value of the function is at x=2.

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The unit of measurement "length of a soccer field" is in yards

The unit of measurement "length of a soccer field" is typically measured in yards, which is option B.

A standard soccer field is rectangular, with a length ranging from 100 to 130 yards and a width ranging from 50 to 100 yards.

The measurement of the length of a soccer field is based on the distance between the goal lines, which is equivalent to the length of the field.

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Answer:

it's D I think

Step-by-step explanation:

..........

Answer:

D

Step-by-step explanation:

A line segment is a straight line that ends , the arrows mean the the ray or line dont end

Answer:

5c(3c2)3

=135c7

Step-by-step explanation:

Answer:

135c ^3 i just took the test

Step-by-step explanation:

The sum of the series converges to 7 / (1 + 2z), and the domain for which it converges is -1/2 < z < 1/2.

To find the sum of the given geometric series\(7−14z+28z^2−56z^3+\)⋯, we need to first identify the first term (a) and the common ratio (r).
Step 1: Identify the first term (a)
The first term is 7.
Step 2: Identify the common ratio (r)
Observe the series and find the ratio between consecutive terms:
-14z / 7 = -2z
\(28z^2 / -14z = -2z\)
\(-56z^3 / 28z^2 = -2z\)
The common ratio is -2z.
Step 3: Determine the convergence of the series
A geometric series converges when the absolute value of the common ratio (|r|) is less than 1:
| -2z | < 1
To solve for the domain of z, we need to find the values for which this inequality holds:
-1 < -2z < 1
Divide all parts of the inequality by -2, and remember to reverse the inequality signs when dividing by a negative number:
1/2 > z > -1/2
Step 4: Find the sum of the converging series
For a converging geometric series, the sum can be calculated using the formula:
sum = a / (1 - r)
Plug in the values of a and r:
sum = 7 / (1 - (-2z))

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Answer:

f(m) = 585m + 30, 000

Step-by-step explanation:

First you need to set up your variable which is m which makes f(m) and since each month gives 585 tons per month we have the variable attached to that (585m). However, we already start with 30,000 so we add that in. You can check the answer by replacing m with a number, which for me I will choose 10, which gives me 35,850 which makes sense.

Answer:

Use the formula Where 1. q = Heat Energy 2. m = Mass 3. c = Specific Heat 4. ΔT = Change in temperature. 14640 J = (300 g)(2.44 J/g·°C)ΔT Solve for ΔT: 1. ΔT = 14640 J/(300 g)(2.44 J/g·°C) 2. ΔT = 20 °C 3. ΔT = Tfinal - Tinitial 4. Tfinal = Tinital+ ΔT 5. Tfinal= 10 °C + 20 °C 6. Tfinal= 30 °C Answer:The final temperature of the ethanol is 30 °C.

Answer:

\(M=\frac{280}{140} =2\)

\(C=2+5=7\)

(2 Movies and 7 Commercials)

Step-by-step explanation:

Let's represent every time Carson's songs are played in a commercial as C and in movies as M.

Set up the following equations:

\(20C+120M=380\)  (1)

\(C=M+5\)   (2)

Substitute equation 2 for equation 1:

\(20(M+5)+120M=380\)

Distribute:

\(20M+100+120M=380\)

Simplify:

\(140M=280\)

Divide both sides by 140:

\(M=\frac{280}{140} =2\)

Substitute 2 as M back into either original equation, I will use (2):

\(C=2+5=7\)

Answer:

Step-by-step explanation:

If a train leaves a station heading east. after traveling east for 33 miles, the train leaves 56 miles south. The distance of the train from the station is C. 65.

Using Pythagoreans theorem formula to find the distance

d² =  a² + b²

Where:

d = distance =?

a= east for 33 miles

b = 56 miles south

Let plug in the formula

d = √33² + 56²

d = √ 1089 + 3136

d = √4225

d = 65 miles

Therefore the correct option is C.

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A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

Answer:

The answer would be 3

Step-by-step explanation:

This is because, hope this makes sense, Shes 8 years older and the answer choices were: 3, 4, 11 and 12, well 3+8=11 and it says next year she will be 3 times his age, still being 8 years older, next year lance will be 4 and whats 3 years times 4, twelve. And whats 8 years older than four 12. Hope this makes sense but it has to be 3.

Answer:

64 poles

Step-by-step explanation:

Given the question :

Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed?

Dimension of rectangular field = 100m by 60m

Length = 100m ; breadth = 60m

Since it is erected around the corners of the field, we need to calculate the entire perimeter of the rectangular field.

Perimeter of a rectangle : 2( length + breadth)

Perimeter = 2(100 +60) = 2(160) = 320m

Since the posts are erected 5m apart, the number of post needed will be :

Perimeter / 5

= 320 / 5

= 64 poles

The minimum number of shirt they will sell to make the given profit is 192 shirts

Inequalities are equations not separated by an equal sign.

If a cheerleading team plans to sell t-shirts as a fundraiser and the teams goal is to make profit of at least $1248 with each t-shirt sold at $6.50, then the equation required is;

6.50t ≥ 1246

Divide both sides by 6.50

6.50t/6.50 ≥1246/6.5

t ≥ 192

Hence the minimum number of shirt they will sell to make the given profit is 192 shirts

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Answer:

138 : 269

Step-by-step explanation:

Last year, the number of bicyclists that showed up was 1345.

This year, there were 690 bicyclists.

The ratio of the number of bicyclists that showed up for the past two years is the ratio of those that showed up this year to those that showed up last year:

690 : 1345

Let us put it in simplest terms:

138 : 269

Based on the given information, it is not possible to determine whether it is a part of the long run or short run without additional data.

The table provided includes the price (P), marginal revenue (MR), quantity (Q), fixed costs (FC), and variable costs (VC). However, it does not specify the time period or provide information about the industry or market conditions.

In the short run, a perfect competitor would continue to produce as long as the price (P) exceeds the average variable cost (AVC). If P > AVC, the firm would produce the quantity (Q) that maximizes its profit or minimizes its losses.

To calculate the output and profit of a perfect competitor, additional information is needed, such as the average total cost (ATC) or the market demand curve. With this information, one can determine the profit-maximizing level of output, which occurs where marginal cost (MC) equals marginal revenue (MR).

Without further data, it is not possible to provide a complete analysis or graph the answers.

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Answer:

because length is same I hope it will help you please follow me

The value of x from the given diagram is -10

Two triangles are known to be similar if the ratio of their similar sides is equal. The diagram shown is similar to the required diagram.

Given the following parameters

<ABC = 2x

<BAC = 3x + 10

Equate the expression since both angles are equal. Substitute;

2x = 3x + 10

Subtract 3x from both sides

2x-3x = 3x-3x+10

-x = 10

x = -10

Hence the value of x from the given diagram is -10

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Answer:

How do I keep falling for this trick!???

Awwwwwwwwwwww tyyyyy <3

Answer:

BAHO PEPE

Step-by-step explanation:

I HOPE THIS HELP

SSS (Side-Side-Side) Postulate: Two triangles are congruent if the three sides of one triangle are equal to the three corresponding sides of the other triangle.

SAS (Side-Angle-Side) Postulate: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two corresponding sides and included angle of the other triangle.

To use the SSS or SAS postulate, you must show that all three corresponding sides or two sides and the included angle are equal, respectively. When you have proved that the two triangles are congruent, you can use the congruence statements and CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to prove other properties of the triangles.

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