1) y - 5 = -5/2(x + 1)
Graph the equation

Answer:

Step-by-step explanation:

Joel's map of Colorado on the grid is added as an attachment

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

Dimensions = 600 km by 450 km.

The scale on the map of Colorado on the grid is

1 unit = 100 km

This means that

Dimensions = 600/100 units by 450/100 units

Evaluate

Dimensions = 6 units by 4.5 units

So, we draw a rectangle of 6 units by 4.5 units to represent Joel's map

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The equation of the tangent line to the circle x^2 + y^2 = 37 at the point (6,1) is y = -6x + 37.

The equation of the tangent line to the circle x^2 + y^2 = 37 at the point (6,1) can be found by first finding the slope of the tangent line at that point and then using point-slope form to write the equation of the tangent line.

To find the slope of the tangent line at (6,1), we need to take the derivative of the circle equation with respect to x:

2x + 2y dy/dx = 0

Solving for dy/dx, we get:

dy/dx = -x/y

At the point (6,1), the slope of the tangent line is:

dy/dx = -(6)/(1) = -6

Now we can use point-slope form to write the equation of the tangent line:

y - y1 = m(x - x1)

where (x1,y1) is the point (6,1) and m is the slope we just found.

Substituting the values, we get:

y - 1 = -6(x - 6)

Simplifying the equation, we get:

y = -6x + 37

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Answer:

\(147.868\)

Step-by-step explanation:

1. Lets transfer ounces ⇄ to Millimeters.

\(29.5735milliliters\)

2. Lets multiply.

\(5 x 29.5735\) is: \(147.868\).

Hope this helps :)

Answer:

5 floz = 147.85 ml

Step-by-step explanation:

What your doing is converting floz to ml so if 1 floz = 29.57 ml your going to multiply 5 floz x 29.57 ml which equals 147.85 ml. Hope this helps or is right at least.

The one that will be the best design of the units of stem and leaf for a stem-and-leaf display is 1's for stem unit and 0.1's for leaf unit (option b).

In this case, we are given a set of sample data and asked to determine the best design for the units of stem and leaf. We are given four options: 100's for stem unit and 10's for leaf unit, 1's for stem unit and 0.1's for leaf unit, 10's for stem unit and 1's for leaf unit, and 1000's for stem unit and 100's for leaf unit.

Option b) uses 1's for the stem unit and 0.1's for the leaf unit. This design would work well if the data had a small range and many values, which is the case here. Using 1's for the stem unit and 0.1's for the leaf unit would result in a compact and easy-to-read display, with each stem having only a few leaves.

Therefore, option b) is the best design for the units of stem and leaf for this set of data.

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Complete Question:

Here is a set of sample data:

1009.85 1587.04 1984.87 2281.95 2337.80 2994.27 3554.64 3748.54 4487.25 4533.82 4559.06 4882.61 4951.68 4995.65 6428.17 6658.12 6789.12 7009.47

Which one will be the best design of the units of stem and leaf for a stem-and-leaf display?

a) 100's for stem unit and 10's for leaf unit

b) 1's for stem unit and 0.1's for leaf unit

c) 10's for stem unit and 1's for leaf unit

d) 1000's for stem unit and 100's for leaf unit

Answer: 458

Simplify

8³=8×8×8

Multiply

8×8×8=512

10×5=50

Subtract

512-50=462

462-4=458

Answer:

458

Step-by-step explanation:

8×8×8=512

10×5=50

512- 50 = 462

462-4= 458

When calculating npv, the present value of the nth cash flow is found by dividing the nth cash flow by 1 plus blank the discount rate raised to the nth power.

What is discount rate?

The discount rate is the rate of return, and is used in business valuations of a company in converting a series of future anticipated cash flows to the present value of the business using the discounted cash flow method.

the discount rate has two different definitions and uses. First, the discount rate is the interest rate used in the discounted cash flow (DCF) analysis to get the present value of cash flows in the company. Second, the discount rate is used as an interest rate charged to the financial institutions for loans that they get from the Federal Reserve Bank via the window discount loan process.

Also,

The discount rate is used in the calculation of the future cash flows of a business using the net present value of the company. It expresses the change in the value of the investment money in the company over time. In short, it is vital to get the NPV value if you are going to use the discounted cash flow method to get the value of the method and the discount rate helps in getting this value.

Hence, The discount rate is raised to the nth power.

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Answer:

The answer is 6.403

Step-by-step explanation:

Using the pythagorean theorem, a^2+b^2=c^2, we can plug 4 units into a, and 5 units into b. Plugging these into the formula results in 4^2 + 5^2 = c^2. Simplifying, we get 16 + 25 = c^2. Simplifying even more, we get 41 = c^2. Using a calculator to get the square root of both sides results in c = 6.40312424.

Answer:

25 candy bars

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can use these ways to figure out the answer. The answer is 25 candy bars.

Hope this helped,

Kavitha Banarjee

Answer:

slope m = - \(\frac{7}{3}\)

Step-by-step explanation:

Answer:

4x+2(2x−5)−(3−5x) = 8x-10-3+5x

Step-by-step explanation:

We need to find the equivalent expression to 4x+2(2x−5)−(3−5x).

Using distributive property as follows :

a(b+c) = ab+ac

4x+2(2x−5)−(3−5x) = 4x+4x-10-3+5x

= 8x-10-3+5x

Option (e)

Hence, the correct option is (e) "8x-10-3+5x"

Answer:

486kg

Step-by-step explanation:

The sum of the simple probabilities for a collectively exhaustive set of outcomes must be equal to one, serving as a fundamental principle of probability theory. This principle holds true for any situation where events are mutually exclusive and cover all possible outcomes.

The sum of the simple probabilities for a collectively exhaustive set of outcomes must be equal to one.

This fundamental principle is a cornerstone of probability theory and ensures that all possible outcomes are accounted for.

To understand why the sum of probabilities must equal one, let's consider a simple example. Imagine flipping a fair coin.

The two possible outcomes are "heads" and "tails." Since these two outcomes cover all possibilities, they form a collectively exhaustive set. The probability of getting heads is 0.5, and the probability of getting tails is also 0.5.

When we add these probabilities together (0.5 + 0.5), we get 1, indicating that the sum of probabilities for the complete set of outcomes is indeed one.

This principle extends beyond coin flips to any situation involving mutually exclusive and collectively exhaustive events.

For instance, if we roll a standard six-sided die, the probabilities of getting each face (1, 2, 3, 4, 5, or 6) are all 1/6.

When we add these probabilities together (1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6), we again obtain 1.

The requirement for the sum of probabilities to equal one ensures that the total probability space is accounted for, leaving no room for events outside of it.

It provides a mathematical framework for reasoning about uncertain events and allows us to quantify the likelihood of various outcomes.

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Answer:

y = 6

Step-by-step explanation:

Perform the indicated multiplication:  6y + 12 = 8y

Consolidate y terms on the right:                12 = 8y - 6y = 2y, or y = 6

Complete question:

A School of Public Health completed a study on alcohol consumption on college campuses. They concluded that 20.1?% of women attending? all-women colleges abstained from? alcohol, compared to 17.1?% of women attending coeducational colleges. Approximately 5.2?% of women college students attend? all-women schools. Complete parts? (a) and? (b) below.

a) what is the probability that a randomly selected female student abstains from alcohol

b) If a randomly selected female student abstains from alcohol, what is the probability she attends a coeducational college?

Answer:

a) 0.173

b) 0.94

Step-by-step explanation:

Given:

Probability of women attending all women colleges, probabilty of abstained from alcohol P(Ab|AW) = 0.201

Probability of women attending coed colleges, probabilty of abstained from alcohol P(Ab|CE) =0.171

Let probability of women attending all women college, P(AW) =0.052

Let probability of women attending coed, P(CE) = 1 - 0.052 =0.948

a) To find the probability that a randomly selected female student abstains from alcohol, use the formula below:

P(Ab) =P(Ab|AW)*P(AW)+P(Ab|CE)*P(CE)

=(0.201 * 0.052) + (0.171 * 0.948) = 0.17256

Probability that a randomly selected female student abstains from alcohol is 0.17256 ≈ 0.173

b) If randomly selected female student abstains from alcohol, probability she attends a coeducational college. Use the formula below:

P(CE|Ab) =P(Ab|CE)*P(CE)/P(Ab) =

\( = 0.171 * \frac{0.948}{.173} \) \( =0.9394 \)

≈ 0.94

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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Answer:I think it is about 55 times

Step-by-step explanation:

Answer:

9 times

Step-by-step explanation:

The pizza has 391 calories in it, and everytime you dip it into ranch, you add 7 calories to the 391.

454(calories in total) - 391(calories in the pizza)= 63

63 ÷ 7(calories everytime you dip into ranch) = 9

The number of meals they should plan on serving when the temperature is two standard deviations above the mean is approximately 3 meals.

Given that the correlation between the daily temperature and the number of meals a lakeside restaurant served is 0.40.

We have to determine the number of meals they should plan on serving when the temperature is two standard deviations above the mean.

We know that the correlation coefficient (r) is given by r = cov (X,Y) / (σx σy)

Where, cov (X,Y) is the covariance between X and Y,

σx is the standard deviation of X and σy is the standard deviation of Y.

We can find the required number of meals using the below steps:

Step 1: Identify the number of meals served as Y and temperature as X.

Step 2: Calculate the regression coefficient of Y on X.

The regression equation is Y = a + bX.

Step 3: Calculate the mean and standard deviation of X and Y.

Step 4: Compute the number of meals served when the temperature is two standard deviations above the mean by using the regression equation obtained above.

On substituting the given values, we get:

r = 0.40σxy = r σx σy = 0.4 σx σy

Now, to find the number of meals served, we need to find the regression equation.

The regression equation is given by, Y = a + bX,

where b = σxy / σx^2 = 0.4 σy / σx

Therefore, Y = a + 0.4 X

On substituting the standard deviation of X, standard deviation of Y, mean of X, and mean of Y, we get,

Y = -6 + 0.4 X

Hence, on a day when the temperature is two standard deviations above the mean, the number of meals they should plan on serving is 2σ above the mean.

Using the formula, Z = (X - μ) / σZ = (2σ - μ) / σZ = 2 - (μ / σ)

Now, from the standard normal distribution table,

we know that P (Z > 2) = 0.0228P (Z < -2)

= 0.0228

Therefore, the number of meals they should plan on serving is,

Y = -6 + 0.4 (μ + 2σ)

Y = -6 + 0.4 (μ + 2σ)

= -6 + 0.4 (μ + 2 σ)

= -6 + 0.4 (30 + 2 × 7.5)

= 3 meals (approximately)

Therefore, the number of meals they should plan on serving when the temperature is two standard deviations above the mean is approximately 3 meals.

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You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

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Answer:

m(slope)=2/5

Step-by-step explanation:

y2-y1/x2-x1

Answer:

$4,221.00 for online and 6,210.00 for the instore

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year.

Solving our equation:

A = 6700(1 + (0.042 × 15)) = 10921

A = $10,921.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,700.00 at a rate of 4.2% per year for 15 years is $10,921.00.

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.9%/100 = 0.069 per year.

Solving our equation:

A = 6000(1 + (0.069 × 15)) = 12210

A = $12,210.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 6.9% per year for 15 years is $12,210.00.

Answer:

\(b=\sqrt[3]{16}\)

Step-by-step explanation:

Determine interception point of curves

\(36x^2=4\)

\(x^2=\frac{4}{36}\)

\(x^2=\frac{1}{9}\)

\(x=\pm\frac{1}{3}\)

Find the area of the bounded region

\(\int\limits^\frac{1}{3} _{-\frac{1}{3}} {4-36x^2} \, dx\\ \\=4x-12x^3\Bigr|_{-\frac{1}{3} }^{\frac{1}{3} }\\\\=[4(\frac{1}{3})-12(\frac{1}{3})^3]-[4(-\frac{1}{3})-12(-\frac{1}{3})^3]\\\\=\frac{8}{9}-(-\frac{8}{9})\\\\= \frac{8}{9}+\frac{8}{9} \\\\=\frac{16}{9}\)

Therefore, since half of the area is \(\frac{8}{9}\), we can set one-half of the region between 0 and x where \(x=\frac{\sqrt{b}}{6}\) and determine b:

\(\frac{8}{9}=\int\limits^\frac{\sqrt{b}}{6} _0 {b-36x^2} \, dx\\\\\frac{8}{9} =bx-12x^3\Bigr|_{0}^{\frac{\sqrt{b}}{6} }\\\\\frac{8}{9}=b(\frac{\sqrt{b}}{6})-12(\frac{\sqrt{b}}{6})^3\\\\\frac{8}{9}=\frac{b\sqrt{b}}{6}-12(\frac{b^{\frac{3}{2}}}{216})\\\\\frac{8}{9}=\frac{b\sqrt{b}}{6}-(\frac{b^{\frac{3}{2}}}{18})\\\\\frac{16}{18}=\frac{3b\sqrt{b}}{18}-\frac{b^{\frac{3}{2}}}{18}\\\\16=3b\sqrt{b}-b^{\frac{3}{2}}\\\\16=3b^{\frac{3}{2}}-b^{\frac{3}{2}}\\\\16=2b^{\frac{3}{2}}\)

To account for both halves of the region:

\(16=2(2b^{\frac{3}{2}})\\16=4b^{\frac{3}{2}}\\4=b^{\frac{3}{2}}\\b=\sqrt[3]{16}\)

Therefore, the line \(b=\sqrt[3]{16}\) will divide the area between the curves into two regions with equal area

Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

Answer:

the median is $1.60 greater than the mean

Answer:

a

Step-by-step explanation:

Answer: D) -20.99

Step-by-step explanation:

-4.97-2.36+-5.19-8.47 = -20.99

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

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Answer: $62100

Step-by-step explanation:

The following can be deduced from the information given in the question:

Credit balance = $54000

Total revenues = $72,200

Total expenses = $48,300

Dividends = $15,800

Closing entry= Credit balance + Total revenues - (Total expenses + Dividends)

= $54000 + $72,200 - ($48300 + $15800)

= $126200 - $64100

= $62100