Which table corresponds to the graph above?

Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;

y = -54/30 x + 8

What is equation of line?

Equation of line with slope m is,

y = mx + b

Now, The equation of line is find as;

Slope = -19 - 35 / 15 - (-15) = - 54/30

And, The equation of line in the slope form is;

y = mx + b

For finding the value of b we use any one point and put in the equation of line.

Take point (-15, 35) = (x, y)

Put in the equation of line we get;

35 = -54/30 * (-15) + b

35 = 27 + b

b = 8

Hence, Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;

⇒ y = -54/30 x + 8

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Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Answer:

139 ( D )

Step-by-step explanation:

Interest rate on loan = 4% = 0.04

Number of payments = 15

First 10 payments = 100 each

last 5 payments = 200 each

Calculating the value of K

K = [ ( 100 / 0.04 * ( 1-1 / 1.04^10 ) + 200/0.04 * ( 1-1 / (1 +0.04)^5)*  1 /1.04^10)

*  1.1 - 100 / 0.04 * ( 1-1 / (1+0.04)^5 ) - 200/0.04 * (1-1 /1.04^5) * 1/1.04^10)*0.04 / ( 1-1 / 1.04^5) * (1 + 0.04)^5

= 138.6051 ≈ 139

Answer:

x = -2 and 6

Step-by-step explanation:

To find vertical asymptote, set the denominator equal to 0 and solve for x. See the guidelines below for determining VA

\(y=\frac{x-5}{x^{2} -4x-12}\)

\(x^{2} -4x-12=0\)

\(x^{2} -6x+2x-12=0\)

\(x(x-6)+2(x-6)=0\)

\((x+2)(x-6)=0\)

\(x=-2,6\)

Hope this helps and God bless!

The total risk of an investment is measured by the variance or, more commonly, the standard deviation of its return. Therefore, the correct answer option is: A. total risk.

In Economics, risk management can be defined as a strategic process which involves the identification, evaluation, analysis and control of potential threats (risks) that are present in a business, project, or system, as an obstacle to its capital, revenues, success, and profits.

In Business management, rate of return can be defined as a net gain (profit) or loss that is associated with an investment over a specified period of time, and it is usually expressed as a percentage of the initial cost of an investment.

In conclusion, the standard deviation or variance of its return is typically used for measuring the total risk of an investment.

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Answer:

1.25, 40

1.6, 30

Step-by-step explanation:

First, we'll state that the lbs of candy worth $1.25 is A and the lbs of candy worth $1.6 is B.

We write the equations: A + B = 70, (This is the lbs)

and, 1.25A + 1.6B = 1.4(70) (This is money)

Next, choose an equation you want to solve for, in this case, I'll choose A.

In the lbs equation, subtract A from both sides, A - A + B = 70 to get B = 70 - A

Now substitute this equation into the money equation.

1.25A + 1.6(70 - A) = 98

1.25A + 112 - 1.6A = 98

-0.35A = -14

multiply by negative

0.35A = 14

divide

A = 40

Then, you substitute 40 into the lbs equation, 40 + B = 70, making B = 30! Done!

The y-intercept is the y value where the blue line crosses the Y axis which is the vertical black line.

The line crosses at the number 4, so the y-intercept is 4

Answer: D. 4

Answer:

x=20

Step-by-step explanation:

Answer:

answer is 19:13 .............

well, a year has a total of 12 months, so 3 months is really 3/12 of a year.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 8.2\%\to \frac{8.2}{100}\dotfill &0.082\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ A=2700[1+(0.082)(\frac{1}{4})] \implies A = 2700(1.0205)\implies A=2755.35\)

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

The width of each column is 3.375.

According to the statement

We have to find that the width of the each column.

So, For this purpose, we know that the

Width is the the horizontal measurement taken at right angles to the length.

In other words, It is the distance from one side to the other side which measures across a particular shape or object whose lengths are forming right angles with the sides as in the case of a rectangle.

From the given information:

A production assistant must divide a page of text into two columns. If the page is 6 3/4 inches wide.

Then

width of the page = 27/4 inches

And the number column is divided into page = 2

Then

The width of column = width of the page/ column in a page

The width of column = 27/4/ 2

The width of column = 6.75/ 2

The width of column = 3.375.

So, The width of each column is 3.375.

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Answer: 40

Step-by-step explanation: Because jasmine is enlarging the drawing, we can divide 60 and 3.75 to get how much she is enlarging. 60 divided by 3.75 is 16 meaning she is enlarging by 16. So now we multiply 16 times 2.5 to find the top and we get 40.

Answer:

85

Step-by-step explanation:

Answer:

The customer send and receive 15 GB of data during the month.

Step-by-step explanation:

Given;

Monthly charge for 6 GB of data = $67.95

Additional charge for each additional GB of data over 6 GB = $8.95

Bill received by the customer = $148.50

Therefore, we have:

Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55

Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB

Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB

Therefore, the customer send and receive 15 GB of data during the month.

9514 1404 393

Answer:

Step-by-step explanation:

For higher-degree polynomials I find it extremely useful to use a graphing calculator to find the zeros.

The usual approaches are ...

__

1. Rational roots will be factors of 10, so ±1, ±2, ±5, or ±10. The signs are all positive, so there are no positive real roots. The sum of odd-degree coefficients is the same as the sum of even-degree coefficients, so -1 is one of the roots. Removing that using synthetic division gives you ...

   f(x) = (x +1)(x^2 +11 +10)

The quadratic (more or less obviously) factors as (x+1)(x+10), so the complete factorization is ...

  f(x) = (x +1)^2(x +10)

and the zeros are {-10, -1, -1}.

__

2. Rational roots will be factors of 18, so will be ±1, ±2, ±3, ±6, ±9, ±18. The sum of coefficients is 0, so x=1 is a root. The rule of signs tells you that there are 2 positive real roots, so there is one more positive real root. Synthetic division tells you the factoring so far is ...

  f(x) = (x -1)(x^3 +2x^2 -9x -18)

We note that the first two coefficients have the same ratio as the last two, so we can factor by grouping.

  x^3 +2x^2 -9x -18 = x^2(x +2) -9(x +2) = (x^2 -9)(x +2)

Factoring the difference of squares gives you the complete factorization, hence all of the roots. (The zeros are the values of x that make the factors zero.)

  f(x) = (x -1)(x +2)(x -3)(x +3)

The zeros are {-3, -2, 1, 3}.

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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You have the right one selected.

The answer is 2:1

To find this take each side of ABC and its corresponding side on DEF, then simplify. You can treat ratios just like fractions, so simplify them in the same way.

20:10 becomes 2:1

12:6 becomes 2:1

16:8 becomes 2:1

Answer:

(1) 4.5 feet per second

Step-by-step explanation:

Given;

distance traveled by Laura, d = 54 feet

time to taken for Laura  to cover this distance, t = 12 seconds

Laura's speed is given by the following equation;

speed = distance / time

Laura's speed = 54 ft / 12 s

Laura's speed =  4.5 feet per second

Therefore, the speed with which Laura is walking is 4.5 feet per second.

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are

180 degrees

540 degrees

900 degrees

The transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.

The rule is (x, y) will become (-x, -y)

Where 540 degrees = 360 + 180

where 900 degrees = 360 + 360 + 180

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There is a 32.81% chance (0.3182) that there will be between 32647 and 43559 ants on a randomly chosen acre.

The Z-score calculates how far a measure deviates from the mean by standard deviation. We look at the p-value linked with this Z-score after determining the Z-score by consulting the z-score table. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. We may calculate the likelihood that the value of the measure exceeds X by subtracting 1 from the pvalue.

The zscore of a measure X in a set with mean and standard deviation may be calculated as follows:

Z= X-μ/σ

μ = 42000   σ= 12275

The pvalue of Z when X = 32647 is deducted from the pvalue of Z when X = 43559 to get this value. So

X = 43559

z= 0.13 has a pvalue of 0.5517

X = 32647

z=  -0.76 has a pvalue of 0.2236

0.5517 - 0.2236 = 0.3281

0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.

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Answer:

Step-by-step explanation:

sin = opposite / hypotenuse

ED is the opposite leg to angle C

CD is hypotenuse as opposite to angle E

Substitute values

Answer:

\(\boxed{ \sin(C) = \frac{3}{5} } ✓\\ \)

Answer:

there are 56 ounces in 3.5 pounds.

Answer:

1120

Step-by-step explanation: