A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One​ day, the equipment elevator begins to descend. After ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another ​seconds? At that​ time, which elevator is​ deeper?

Answer:

450

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

I just took the quiz and got it right, hope this helps :)

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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The require value of PQ is

A line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Now, given coordinates of two points on number line are

P = -41

Q = 31

Since, PQ is the distance between to points P and Q on a number line.

So, PQ is the absolute value of the sum of their coordinates P and Q.

⇒PQ = |P| + |Q|

⇒PQ = 41 + 31

⇒PQ = 72

Hence the required value PQ is 72.

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Answer:

-84

Step-by-step explanation:

Answer:

2 solutions

Step-by-step explanation:

Given the 2 equations

y = x² + 4x + 4 → (1)

y = 2x + 7 → (2)

Substitute y = x² + 4x + 4 into (2)

x² + 4x + 4 = 2x + 7 ( subtract 2x + 7 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Substitute these values into (2) for corresponding values of y

x = - 3 : y = 2(- 3) + 7 = - 6 + 7 = 1 ⇒ (- 3, 1 )

x = 1 : y = 2(1) + 7 = 2 + 7 = 9 ⇒ (1, 9 )

The 2 solutions are (- 3, 1 ) and (1, 9 )

To find the probability that the amount of pollutant in a given sample will exceed 1/2 for the smokestack with the filter installed, you need to determine the distribution of the pollutant levels and then calculate the probability based on that distribution.

To find the probability that the amount of pollutant in a given sample will exceed 1/2 when a filter is installed in the smokestack, we need to use the information provided in the question. However, we do not have any specific information on the distribution of the pollutant levels, so we cannot calculate the exact probability.
Instead, we can make some assumptions based on the purpose of the filter. Filters are typically installed to reduce the amount of pollutants emitted into the air, so it is reasonable to assume that the filter will decrease the amount of pollutant in each sample. Therefore, we can expect the probability of the pollutant level exceeding 1/2 to decrease when a filter is installed.
Without more information, we cannot give an exact probability, but we can say that it is likely lower than the probability without a filter. We would need to know more about the specific characteristics of the filter and the pollutant to make a more accurate estimate.

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The transformation rule that is used to map the figure to the image is;

Shift the figure by 2 units to the right and then reflect the figure about the line y = -1.5

Looking at the figure which is the top triangle, we can see that it is not in line with the image at the bottom and as such, we need to make it to be in vertical alignment by shifting the figure first of all by 2 units to the right.

When the figure is shifted by 2 units to the right, then it will be in alignment with the image at the bottom and as such we can reflect the figure about the line y = -1.5 to achieve the final mapping that is required.

The transformation rule used will be shifting and reflection

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The area of the region enclosed by y = sin^(-1)(x), y = π/4, and the y-axis is π/8 square units.

First, we notice that the curve y = sin^(-1)(x) is a quarter of the unit circle centered at (0, 0) with a radius of 1. This means that the curve intersects the y-axis at y = π/2.

The line y = π/4 is a horizontal line that intersects the y-axis at y = π/4.

To find the area enclosed, we need to find the difference in y-values between y = π/4 and y = π/2, which is π/2 - π/4 = π/4.

Since the curve y = sin^(-1)(x) lies entirely above the x-axis and below the line y = π/4, the area enclosed is a triangle with a base of 1 and a height of π/4.

Using the formula for the area of a triangle, we have:

Area = (1/2) * base * height = (1/2) * 1 * (π/4) = π/8.

Therefore, the area of the region enclosed by y = sin^(-1)(x), y = π/4, and the y-axis is π/8 square units.

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Therefore, the answer is E. A and B are true assumptions.

The correct answer is E. A and B are true assumptions.What is the constant growth dividend valuation model?The constant growth dividend valuation model is used to calculate the intrinsic value of a stock based on the assumption that dividends will increase at a constant rate indefinitely. The model values a stock's current price based on the amount of future dividends it is expected to pay. The constant growth dividend valuation model is sometimes referred to as the Gordon Growth Model.What assumptions does the constant growth dividend valuation model make?The constant growth dividend valuation model assumes that:A. a constant annual dividendB. a constant dividend growth rate for no more than the first 10 yearsTherefore, the answer is E. A and B are true assumptions.

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Answer:

x = 10

Step-by-step explanation:

Since KL is parallel to HI

m∠JKL = m∠JHI

m∠JLK = m∠LIH

For the two triangles JKL and JHI, we have the common angle J and two angles equal to the corresponding two angles

Therefore the triangles are similar

Ratio of the sides to the corresponding sides must be equal

Hence
\(\dfrac{JH}{JK} = \dfrac{JI}{JL}\\\)

JH = JK + KH = 28 + 20 = 48

JI = JL + JL = 14 + x

Therefore
\(\dfrac{JH}{JK} = \dfrac{JI}{JL}\\\\= > \dfrac{48}{28} = \dfrac{14 + x}{14}\)

\(\dfrac{48}{28} = \dfrac{12}{7}\)  by dividing numerator and denominator by 4

Hence

\(\dfrac{48}{28} = \dfrac{14 + x}{14}\\\\\rightarrow \quad \dfrac{12}{7} = \dfrac{14 + x}{14}\\\\\)

Multiply both sides by 14:
\(14 \cdot \dfrac{12}{7} = 14 \cdot \dfrac{14 + x}{14}\\\\2 \cdot 12 = 14 + x\\\\24 = 14 + x\\\\\text{Subtract 14 both sides:}\\\\24 - 14 = x\\\\or\\\\x = 10\\\\\)

The probability that she got two balls of different color is \($\frac{yz}{x^{2} }\)

As per the data given:

Laura has a bag with red and blue balls.

Let the total number of balls be x.

Let the total number of red balls be y.

Let the total number of blue balls be z.

She picks a ball at random, records its color, and puts the ball back in the bag.

Assume that the ball picked first be a red ball.

P( 1st ball is a red ball) = Number of red balls ÷ Total balls

= \($\frac{y}{x}\)

Assume that the ball picked second to be a blue ball.

P( 1st ball is a blue ball) = Number of blue balls ÷ Total balls

= \($\frac{z}{x}\)

P (Two different colored balls) = P( 1st ball is a red ball) × P( 2nd ball is a blue ball)

= \($\frac{y}{x}\) × \($\frac{z}{x}\)

= \($\frac{yz}{x^{2} }\)

Therefore the probability is \($\frac{yz}{x^{2} }\)

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The two buses are initially 515 miles apart and are moving toward each other. They will pass each other around 2:30 P.M.

To solve this problem, we can use the concept of relative speed. The combined speed of the two buses is the sum of their individual speeds, which is 48 + 55 = 103 miles per hour.

We can calculate the time it takes for the buses to meet by dividing the initial distance between them (515 miles) by their combined speed (103 miles per hour):

Time = Distance / Speed

Time = 515 miles / 103 miles per hour

Time ≈ 5 hours

Therefore, the two buses will pass each other approximately 5 hours after they start traveling toward each other. To determine the exact time, we need to consider the starting time (9:30 A.M.) and add 5 hours to it. So, they will pass each other around 2:30 P.M.

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The line of reflection for the transformation between polygon ABCDE and A' B' C' D' E' is the x-axis and the y-axis.

we need to look at the position of their corresponding vertices.

If we reflect polygon ABCDE across the x-axis, the y-coordinates of all its vertices will be negated.

For example, the first vertex A(-1, -4) will become A'(-1, 4).

We can see that the y-coordinates of the corresponding vertices of the two polygons are negated with respect to each

other. Therefore, the line of reflection is the x-axis.

If we reflect polygon ABCDE across x = 6, the x-coordinate of vertex A(-1, -4) will become 13, which is not the x

coordinate of any vertex in A' B' C' D' E'. Therefore, this cannot be the line of reflection.

If we reflect polygon ABCDE across y = -3, the y-coordinate of vertex A(-1, -4) will become 1, which is not the y-

coordinate of any vertex in A' B' C' D' E'.

Therefore, this cannot be the line of reflection.

If we reflect polygon ABCDE across the y-axis, the x-coordinates of all its vertices will be negated. For example, the first

vertex A(-1, -4) will become A'(1, -4). We can see that the x-coordinates of the corresponding vertices of the two

polygons are negated with respect to each other. Therefore, the line of reflection is the y-axis.

Therefore, the line of reflection for the transformation between polygon ABCDE and A' B' C' D' E' is the x-axis and the

y-axis.

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Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

\( \frac{y}{8} = 5 \\ y = 8 \times 5 \\ y = 40\)

Answer:

\(\huge\boxed{y=40}\)

Step-by-step explanation:

\(METHOD\ 1:\\\\\dfrac{y}{8}=5\qquad|\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup\cdot\dfrac{y}{8\!\!\!\!\diagup}=5\cdot8\\\\y=40\\\\METHOD\ 2:\\\\\dfrac{y}{8}=5\\\\\dfrac{y}{8}=\dfrac{5}{1}\qquad|\text{cross multiply}\\\\(y)(1)=(8)(5)\\\\y=40\)

Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90

The solution to the equation does not exist

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

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

a) The area of the first circle is approximately 254.34 square inches

b) The area of the second circle is approximately 70650 square inches.

a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:

r = 18/2 = 9 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 9² = 254.34 square inches

Therefore, the area of the first circle is approximately 254.34 square inches.

b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:

25 feet = 25 x 12 inches = 300 inches

Then we can find the radius by dividing by 2:

r = 300/2 = 150 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 150² = 70650 square inches

Therefore, the area of the second circle is approximately 70650 square inches.

Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.

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The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be

(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6

This has the rational roots x = 1, x = 2, x = 3.

However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.

In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.

Answer:

1.3 cups

Step-by-step explanation:

Answer:

5/12

Since demoninators aren't the same we have to find a number that both numbers can divide into, which will be 84

5/84 & 4/84

Now whatever we do to the top we do to the bottom and so on. So how many times did it take those numbers to reach 84?

5/12 took 7 times to reach 84 so it will now be 5x7 like how we times 12 7 times to reach 84: 35/84

It took a shorter time for 4/21 to reach 84 as it only took 4 times so we times 4 by 4 and we get 16/84

Now let's compare: 16/84 or 35/84? We can see the bigger one is the second one, which was originally 5/12 and that's how you get the answer!

Hoped that helped

Answer:

5/12

Step-by-step explanation:

a ) 5/12

= 5/12 times 100% = 125/3 = 42 % rounded of to the nearest whole number

= 42 %

b ) 4/21

= 4/21 times 100% = 400/21 = 19 % rounded of to the nearest whole number

= 19 %

The expected number of new cases per 100,000 in Michigan according to the multiple regression model is 930

In statistics, multiple regression model refers a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

Here we have given that if Michigan has a strictness level equal to 50 and has more than 55 available hospitals,

And we need to find the expected number of new cases per 100,000 in Michigan according to the multiple regression model.

While we looking into the given question, we have identified the value of

Strictness level = 50

Available hospital = 55

New cases per day = 100,000

Then the expected number is calculated by using the multiple regression model is written as,

=> 50x + 55y ≤ 100,000

When we solve it graphically, then we get, the graph like the following,

As per the given graph, the expected number is 930.

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

A

Step-by-step explanation:

Plz can you make me brainlest

For sure its A

Answer:

c.20v+2 >5v

Step-by-step explanation:

Answer:

-----------------------

The ratio of the corresponding sides is the scale factor of similar figures.

The scale factor in our case is:

The volume is the product of three dimensions, hence the ratio of volumes of similar shapes is the cube of the scale factor.

Therefore, to find the volume of the larger box we need to multiply the volume of the smaller box by k³ = 3³ = 27.

The expression is:

The volume is:

Answer:

y = 2/3x - 1/2

Step-by-step explanation:

y = 2/3x - 1/2 is a linear function. It contains a slope and a y-intercept and every x value will produce a unique y value.

y = 4/x + 1 is a rational function, as it contains a fraction.  

Answer:

y = 2/3x - 1/2

Step-by-step explanation:

y = 2/3x - 1/2 is a linear function. It contains a slope and a y-intercept and every x value will produce a unique y value.

y = 4/x + 1 is a rational function, as it contains a fraction.

Have a great day! :D

The point p(x, y) lies on the terminal side of an angle theta = startfraction 3 pi over 4 endfraction in standard position. Then x values are negative and the y values are positive.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. When the two rays are creating an exact 180-degree angle, an angle is considered to be straight. It gets its name from the fact that two lines at an angle of 180 degrees resemble one single straight line. Angles, whose measure is always non-negative, have some standard language.

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If the mean and median of a population are the same, then its distribution is symmetric.The values of xmin and xmax can be inferred accurately except in a scatter plot.

If the mean and median of a population are the same, then its distribution is:symmetric.

This is because when the mean and median are equal, it indicates that the data is evenly distributed on both sides of the mean, resulting in a symmetric distribution.

The values of xmin and xmax can be inferred accurately except in a:scatter plot.

A scatter plot is used to display the relationship between two variables, and it does not provide information about the minimum and maximum values of the dataset. In contrast, dot plots, box plots, and histograms can provide information about the minimum and maximum values.

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Answer: O: 252

Step-by-step explanation:

Theoretically, all of the letters would've been drawn 250 times as that is the theoretical possibility. The closest number to the theoretical number in this experiment would be 252 which belongs to O