An office building has six floors, and 294 people work in the
building. Explain how to find the number of people per floor if the
same number of people work on each floor.

The equation that represents the function shown on the graph is (d) y = 4x

The graph that completes the question is added as an attachment

On the graph, we have the following ordered pairs

Line starts at (0. 0) and through (2, 8), (4, 16), then end at (5, 20)

These ordered pairs are

(x, y) = (0. 0), (2, 8), (4, 16), (5, 20)

The ordered pair (0, 0) implies that the line passes through the origin

This means that the equation can be represented as

y = Y/X * x

Where

(X, Y) = any of (2, 8), (4, 16), (5, 20)

So, we have

y = 8/2 * x

Evaluate the quotient

y = 4 * x

This gives

y = 4x

Hence, the equation is (d) y = 4x

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Answer: d

Step-by-step explanation:

yw

Answer:

The answer is 49 in^2.

Step-by-step explanation:

The area of the triangle is 1/2* perpendicular height * horizontal length.

The horizontal length is 14 in, while the perpendicular height is 7 in.

The area of the triangle is 1/2* 7 in * 14 in = 49 in^2

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

The area of the sphere is 8π.To find the area of the sphere, we need to determine its radius first. The tetrahedron's edge length (√2) represents the radius of the sphere.

The formula to find the area of a sphere is A = \(4\pi r^2\), where A is the area and r is the radius.

Plugging in the radius (√2) into the formula, we get:

A =\(4\pi(\sqrt{2} )^2\)
 = \(4\pi *2\)
 = \(8\pi\)

Therefore, the area of the sphere is 8π.

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The distance moved by the vehicle is 750 km.to calculate the speed of the vehicle in km/h, we need to determine the time it took for the vehicle to travel that distance.

to calculate the distance moved by the vehicle, we need to find the difference between the initial and final readings on the odometer. in this case, the initial reading is 60,000 km and the final reading is 60,750 km.

distance moved = final reading - initial readingdistance moved = 60,750 km - 60,000 km

distance moved = 750 km in this case, the time interval is from 6:00 pm to 6:30 pm, which is 30 minutes or 0.5 hours.

speed = distance moved / time takenspeed = 750 km / 0.5 hours

speed = 1500 km/h

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Answer:

true

Step-by-step explanation:

square root functions are just half of a parabola rotated 90° so depending on which half of the parabola (top has minimum and bottom has maximum) it is, it will have one, but it cannot have both since it is a continuous function after the max or min

The equation of the line in point-slope form is y + 3 = (1/2)(x - 6), and in slope-intercept form is y = (1/2)x - 6.

To write the equation of a line in point-slope form and slope-intercept form given a point (6, -3) and a slope of 1/2:

1. Point-Slope Form:

The point-slope form of a linear equation is given by: \(y - y_1 = m(x - x_1)\), where (\(x_1, y_1\)) is a point on the line and m is the slope.

Substituting the values into the equation:

y - (-3) = 1/2(x - 6)

y + 3 = 1/2(x - 6)

2. Slope-Intercept Form:

The slope-intercept form of a linear equation is given by: y = mx + b, where m is the slope and b is the y-intercept.

Using the given slope (1/2) and the point (6, -3), we can solve for the y-intercept (b).

-3 = (1/2)(6) + b

-3 = 3 + b

b = -6

The equation in slope-intercept form is:

y = 1/2x - 6

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Answer:

2y+6x=180

Step-by-step explanation:

Because we know that side lengths BD, DC, and AD are all congruent, we can conclude that triangles BDA and CDA are congruent because they have at least two congruent sides. Since these triangles are both 45-45-90 triangles, angle C is equal to 45 degrees, or 3x. 45/3 is 15, so x=15. Angle B is equal to 45 degrees, or y, so y=45.

From there, we plug these numbers into the equation with 2(45) + 6(15), or 90+90 = 180.

Answer:

\(v = \frac{A - r}{rf}\)

Step-by-step explanation:

Given

\(A = r + rvf\)

Required

Solve for v

\(A = r + rvf\)

Subtract r from both sides

\(A - r = r - r + rvf\)

\(A - r = rvf\)

Divide both sides by rf

\(\frac{A - r}{rf} = \frac{rvf}{rf}\)

\(\frac{A - r}{rf} = v\)

Reorder the expression

\(v = \frac{A - r}{rf}\)

At this point, we;ve solved for v

Answer: 830

Step-by-step explanation:

Answer:

The nearest whole number is 830

Step-by-step explanation:

Answer:

i think its second one but im not sure

Answer:

1.2 hours equal to 30mph

Step-by-step explanation:

Pls mark brainliest

Answer:

the correct answer is: D

Answer:

28

Step-by-step explanation:

21 is the price of 3/4

21 : 3 * 4 =

28₹

Answer:

Step-by-step explanation:

SOLVING

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

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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Step-by-step explanation:

-2x(x2 - 3)

-2x³+6x

Hope it helps ☺️

Cinnabon's realization that it doesn't just sell cinnamon rolls but instead sells "irresistible indulgence" is an example of a firm taking a customer-centric approach.

By shifting the focus from the product itself to the experience it provides, Cinnabon has identified and tapped into the emotional needs of its customers.

This realization has allowed the company to differentiate itself from its competitors and create a strong brand identity that resonates with its target market.

Additionally, by understanding its customers' desires and preferences, Cinnabon has been able to innovate and introduce new products and services that align with its brand promise of providing indulgent treats.

In summary, Cinnabon's focus on the customer and their experience has enabled the company to stay relevant and successful in a highly competitive industry.

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Answer:

B-16.4 years

Step-by-step explanation:

Explanation

if you know 2 points of a line you can easily find the slope using

Let

P1(-1,5)

P2(7,1)

replace,

I hope this helps you

The probability of Bo, Colleen, Jeff, and Rohini winning the first, second, third, and fourth prizes, respectively, is 1 in 6,497,400.

The probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in the contest with 52 entrants and no one winning more than one prize can be calculated as follows:
1. Probability of Bo winning the first prize: 1/52 (since there are 52 people, and Bo is one of them)
2. Probability of Colleen winning the second prize after Bo has won the first prize: 1/51 (since there are now 51 people left)
3. Probability of Jeff winning the third prize after Bo and Colleen have won: 1/50 (50 people remaining)
4. Probability of Rohini winning the fourth prize after Bo, Colleen, and Jeff have won: 1/49 (49 people left)
To find the overall probability, multiply all individual probabilities together:
(1/52) x (1/51) x (1/50) x (1/49) = 1/6,497,400

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The probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in the drawing is approximately 1.0625 × 10^-9.

To find the probability of Bo, Colleen, Jeff, and Rohini winning the first, second, third, and fourth prizes, respectively, follow these steps:
Calculate the total number of ways to choose 4 winners from 52 people (order matters, since the prizes are distinct). This is a permutation, so use the formula nPr = n! / (n - r)!,

where n = 52 (total number of people) and r = 4 (total number of prizes). In this case, 52P4 = 52! / (52 - 4)! = 52! / 48!.
Calculate the probability of Bo winning the first prize:

There is 1 favorable outcome (Bo winning) out of 52 possible outcomes, so the probability is 1/52.
Calculate the probability of Colleen winning the second prize, given that Bo has already won:

There is 1 favorable outcome (Colleen winning) out of the remaining 51 possible outcomes, so the probability is 1/51.
Calculate the probability of Jeff winning the third prize, given that Bo and Colleen have already won:

There is 1 favorable outcome (Jeff winning) out of the remaining 50 possible outcomes, so the probability is 1/50.
Calculate the probability of Rohini winning the fourth prize, given that Bo, Colleen, and Jeff have already won: There is 1 favorable outcome (Rohini winning) out of the remaining 49 possible outcomes, so the probability is 1/49.
To find the overall probability of this specific order of winners (Bo, Colleen, Jeff, Rohini), multiply the individual probabilities: \((1/52) × (1/51) × (1/50) × (1/49) ≈ 1.0625 × 10^-9.\).

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The probability that no more than 4 of the next 10 households that a student visits will purchase a raffle ticket is 1%.

Probability refers to the likelihood or chance of a particular event occurring, and it is usually expressed as a number between 0 and 1. An event with a probability of 0 is impossible, while an event with a probability of 1 is certain.

For example, if you toss a fair coin, the probability of getting heads is 0.5, and the probability of getting tails is also 0.5. If you roll a fair six-sided die, the probability of rolling a 6 is 1/6, and the probability of rolling any other number is also 1/6. Based on the information, the correct option is C.

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a) Fiscal policy: Increase government spending or reduce taxes to boost aggregate demand (AD). Monetary policy: Lower interest rates or increase money supply to stimulate AD.

b) Impact depends on SRAS slope. Output ↑, unemployment ↓ in short run. Inflation ↑ if SRAS is steep.

c) Higher inflation expectations from persistent expansionary policies can lead to increased wages and prices, resulting in higher inflation in the long run.

d) Expansionary fiscal policy can lead to budget deficits, crowding out private investment, higher government debt, future tax burdens, and dependency on government intervention.

a) Fiscal policy involves using government spending and taxation to influence aggregate demand (AD) and stabilize the economy. To minimize the unemployment rate, the prime minister could implement expansionary fiscal policy by increasing government spending or reducing taxes. This would lead to an increase in AD, stimulating economic activity, and potentially reducing unemployment. Monetary policy, on the other hand, involves actions taken by the central bank to influence the money supply and interest rates. The prime minister could work with the central bank to implement expansionary monetary policy, such as lowering interest rates or conducting open market operations to increase the money supply. This would encourage borrowing and spending, boosting AD and potentially reducing unemployment.

b) If the central bank helps the prime minister achieve the goal of minimizing the unemployment rate, it can have short-run effects on both the unemployment rate and the inflation rate. Expansionary fiscal and monetary policies can increase AD, leading to increased output and potentially reducing unemployment in the short run. However, the impact on inflation will depend on the slope of the short-run aggregate supply (SRAS) curve. If the SRAS is relatively flat, the increase in output will have a larger impact on reducing unemployment without significantly increasing inflation. Conversely, if the SRAS is steep, the increase in output may lead to a significant increase in inflation with only a modest reduction in unemployment.

c) The opposition leader's argument is related to the long-run implications of the prime minister and central bank's agreement on inflation expectations. According to the AD-AS model, in the long run, the economy will reach the natural rate of unemployment (NRU) where the SRAS curve intersects the long-run aggregate supply (LRAS) curve. If expansionary fiscal and monetary policies are used persistently to reduce the unemployment rate below the NRU, it can create inflationary pressures. This may result in higher inflation expectations among households and businesses, leading to higher wage demands and increased prices.

d) If the prime minister chooses to use fiscal policy to minimize the unemployment rate, the opposition leader argues that it will also be costly in the long run. This is because expansionary fiscal policy, such as increasing government spending or reducing taxes, can lead to budget deficits. Persistent budget deficits can increase government debt and require borrowing, which may lead to higher interest rates and crowding out private investment. Higher government debt can also result in future tax burdens or reduced government spending on other essential areas, impacting long-term economic growth.

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Answer:

1 (5), 4(23), 5(29), 9(53).

Step-by-step explanation:

Well, I just plugged in the terms that looked like the inputs instead of x.

Given: For the first question, we need to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.918.

And, for the second question, we need to find the number z such that 43.04% of all observations from a standard Normal distribution are greater than z. We need to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.918.

Using Table A, we have that .As 0.918 is the closest to 0.9207, we have, P(z < 1.41) = 0.918Hence, the required value of z is 1.41.(b) We need to find the number z such that 43.04% of all observations from a standard Normal distribution are greater than z.Using Table Now, We have 0.4905 on the right, which is less than 0.5.

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Let s be Jim's Sister's age now

s = 2x

Answer:

$20 for sandwiches and $14 for salads $34 in total

Step-by-step explanation:

each sandwhich costs $4 so

$4 x 5=$20

$2 x 7=$14

Hey there!

Since the question is given under 'Mathematics', the word simplification will refer to the way we reduce (simplify) the terms in an algebraic expression or equations into simpler (smaller) forms for better understanding.

Hope it helps ya!