Pedro is walking down the longest staircase ever, which contains 4000 steps. She


starts from the top and is walking down the staircase at 150 steps a minute. Hal is


walking up the staircase, starting at the bottom, at 80 steps a minute. After how


many minutes will they meet?

Answer:

answer is a

Step-by-step explanation:

jus took the test <3

The advantage of renting from the given four options given is said to be; A: Financial Risk

Renting is defined as an agreement where a payment is made for the temporary use of a good, service or property owned by another.

Now, renting could also be callled Hiring or Letting but then a gross lease is when the tenant pays a flat rental amount with the landlord paying for all property charges regularly incurred by the ownership.

Thus, one advantage of renting is financial risk.

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Answer:

18x + 346

Step-by-step explanation:

8(x+12) + 10(x+25)

8x + 96 + 10x + 250

18x + 346

The calculation for the correlation coefficient for the data graphed was 0.99 which is indicative of a strong positive correlation between smoking rates and lung cancer.

The data graphed showed a positive correlation between smoking rates and lung cancer. The correlation coefficient for the data was 0.99, which is very close to 1. This indicates a strong positive correlation between smoking rates and lung cancer. The formula for calculating the correlation coefficient is r = (NΣxy - (Σx)(Σy)) / √[(NΣx2 - (Σx)2)(NΣy2 - (Σy)2] where r is the correlation coefficient, N is the number of data points, Σx is the sum of all x-values, Σy is the sum of all y-values, Σxy is the sum of the products of the x and y values, and Σx2 and Σy2 are the sums of the squares of the x and y values respectively. The calculation for the correlation coefficient for the data graphed was 0.99 which is indicative of a strong positive correlation between smoking rates and lung cancer.

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Answer:

x = 4

y = 5

Step-by-step explanation:

4x is parallel to x+12 so 4x=x+12 then subtract x from 4x to get 3x then 12 / 3 which gives you 4 for x.

3y is parallel to 15 so 3y=15 divide 15 by 3 to get 5 for y.

The rate of interest is 5%, compounded continuously, t = years is

\(t = 21.98years\).

Formula used,

\(A = Pe^{rt}\)

\(A =\) Final amount

\(P =\) initial amount

\(r =\) rate of interest

\(t =\) time period

According to the question,

\('P'\) represents the initial value in the saving account

\('A'\) represents the final amount

As per the question

\(A = 3P\)

Rate of interest \('r' = 5 \percentage\)%

Time \(= t\) years

Substitute the value in the formula of compounded continuously we get,

\(3P = Pe^{5/100(t)}\)

\(== > 3 = e^{0.05t} \\== > log^{3} = (0.05t)(loge)\\\\== > 0.05t = \frac{log^{3} }{loge} \\\\== > 0.05t = \frac{0.4771}{0.434} \\\\== > t = \frac{1.0993}{0.05} \\== > t = 21.98years\)

Hence, value of \(t = 21.98years\)  when an investment in a savings account grows to three times the initial value after t years with rate of interest is 5%, compounded continuously.

The complete question is:

An investment in a savings account grows to three times the initial value after t years. If the rate of interest is 5%, compounded continuously, t = years.

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a. The probability that the drills are all completed by 11:40 am is very close to 0.
b. The probability that the drills are not completed by 12:10 pm is also very close to 0.

a. To find the probability that the drills are all completed by 11:40 am, we need to calculate the total time required to complete the drills. Since there are 35 drills and each drill takes an average of 6 minutes, the total time required is 35 * 6 = 210 minutes.

Now, we need to calculate the z-score for the desired completion time of 11:40 am (which is 700 minutes). The z-score is calculated as (desired time - average time) / standard deviation. In this case, it is (700 - 210) / 35 = 14.

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 14. However, the z-score is extremely high, indicating that it is highly unlikely for all the drills to be completed by 11:40 am. Therefore, the probability is very close to 0.

b. To find the probability that drills are not completed by 12:10 pm (which is 730 minutes), we can calculate the z-score using the same formula as before. The z-score is (730 - 210) / 35 = 16.

Again, the z-score is very high, indicating that it is highly unlikely for the drills not to be completed by 12:10 pm. Therefore, the probability is very close to 0.

In summary:
a. The probability that the drills are all completed by 11:40 am is very close to 0.
b. The probability that the drills are not completed by 12:10 pm is also very close to 0.

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To find the inverse, interchange the variables and solve for y

G^-1 (x) = square root x - 1, - square root x-1

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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If you could provide me more details, including the dimensions of the two triangle ' angles and sides, I might be able to evaluate whether or not they are comparable.

A triangle is a polygon because it includes four or so additional parts. It features a simple rectangular shape. A rectangle having edges A, B, and C is referred to as a triangle. When the sides are actually not collinear, Euclidean geometry yields a single plane and cube. If a triangle contains three parts and three angles, it is a polygon. The intersections of a triangle's three sides are referred to as its corners. The sum of a triangle's sides is 180 degrees.

Two polygons must have congruent corresponding angles and proportionate corresponding sides in order to be considered comparable.

If you could provide me more details, including the dimensions of the two polygons' angles and sides, I might be able to evaluate whether or not they are comparable.

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Answer:

1

Step-by-step explanation:

Both equations are linear, and they do not have an equivalent slope, therefore they MUST intercept each other once and only once.

The elasticity of output with respect to labor input for Widgets Inc, as described by the function q=3\(\sqrt{71-8}\), is not provided in the given information.

The given function, q=3\(\sqrt{71-8}\), represents the relationship between the weekly output (q) and the weekly labor input (I) for Widgets Inc. However, it does not explicitly provide the elasticity of output with respect to labor input. Elasticity measures the responsiveness or sensitivity of one variable to changes in another variable. In this case, the elasticity of output with respect to labor input would indicate how much the weekly output changes in response to changes in the labor input.

To calculate the elasticity of output with respect to labor input, we need to determine the derivative of the function with respect to labor input. However, since the given function does not explicitly provide a formula or equation, it is not possible to calculate the elasticity without further information. Additional information, such as a specific equation or data points, would be required to determine the elasticity of output with respect to labor input for Widgets Inc.

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The speed at which the bottom of the ladder is being pulled away from the wall is equal to the rate at which the top is sliding down, which is 1 ft/second.

The bottom of the ladder is being pulled away from the wall at the same rate at which the top of the ladder is sliding down the wall. As the top of the ladder slides down at a rate of 1 ft/second, the bottom of the ladder is also being pulled away at a rate of 1 ft/second.

The bottom of the ladder is being pulled away from the wall at a rate of 100 ft/second if the top of the ladder is sliding down at a rate of 100 ft/second.

The speed at which the bottom of the ladder is being pulled away from the wall is equal to the rate at which the top is sliding down, which is 1 ft/second.

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It represents the average amount of change in the function per unit throughout that time period.

Divide the change in y-values by the change in x-values to calculate the average rate of change. When analyzing changes in measurable parameters like average speed or average velocity, finding the average rate of change is quite helpful.

The formula R = D/T, or rate of change equals the distance traveled divided by the time required to do so, can be used to approach rate-of-change problems in general.

It represents the average amount of change in the function per unit throughout that time period. It is generated from the slope of the straight line joining the interval's ends on the graph of the function.

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Answer:

5.6

Step-by-step explanation:

Round to the nearest tenth

Answer:

5. 56

Step-by-step explanation:

I'm sorry if this is wrong but uts what I remebrr

Answer:

1/36 chance.

Step-by-step explanation:

There are 36 possible outcomes of rolling 2 die. Therefore, this 1 outcome is 1/36.

Answer:

I hope this is helpful (2x-3)(3x+5)

Step-by-step explanation:

(2x-3)(3x+5)

6x2-9x+10x-15

6x2+x-15

Answer:

your answer is 3x+5

Step-by-step explanation:

on edge 2021

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Answer:

x=5

y=-2

Step-by-step explanation:

even though this looks like they want you to do it elimination ima do substation cause I like that better

2x-y=12

   +y. +y

2x=12+y

-12    -12

2x-12=y

Now we can fill in y

3x+4(2x-12)=7

3x+8x-48=7

11x-48=7

   +48. +48

11x=55

/11. /11

x=5

fill in X to find y

2(5)-y=12

10-y=12

-10. -10

-y=2

y=-2

hopes this helps please mark brainliest

To solve this problem, we need to use the concepts of orbital mechanics and gravitational potential energy.

Part A

The velocity of the satellite in the inner circular orbit is given by the equation:

v = sqrt(GM/r)

where G is the gravitational constant, M is the mass of the earth, and r is the radius of the orbit. Substituting the given values, we get:

v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m))

v = 7760 m/s

Part B

The velocity of the satellite at the low point of the elliptical orbit can be found using the equation:

v = sqrt(2GM/r1 - 2GM/r2)

where r1 and r2 are the radii of the inner and outer circular orbits, respectively. Substituting the given values, we get:

v = sqrt(2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))

v = 1.004 x 10^4 m/s

Part C

The work done by the rocket motor to transfer the satellite from the circular orbit to the elliptical orbit is given by the difference in gravitational potential energy between the two orbits. This can be calculated using the equation:

W = mgh = m * G * M/r

where m is the mass of the satellite, g is the acceleration due to gravity, h is the height of the orbit above the earth's surface, and r is the radius of the orbit. Substituting the given values, we get:

W = 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)

W = 3.80 x 10^9 J

Part D

The velocity of the satellite at the high point of the elliptical orbit can be found using the equation:

v = sqrt(GM/r1 + GM/r2)

Substituting the given values, we get:

v = sqrt(6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) + 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))

v = 2.24 x 10^4 m/s

Part E

The velocity of the satellite in the outer circular orbit can be found using the equation in Part A, with the radius of the orbit set to 35,900 km. This gives:

v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)) v = 2.74 x 10^3 m/s

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The solution set of given system of inequalities is the intersection region (purple colored region)

The correct graph is given by an option (B)

In this question, we have been given  the system of inequalities.

y > 3x - 7

y ≤ -2x + 1

We need to solve the system of inequalities by graphing.

Consider the graph of given system of inequalities as shown below.

An inequality y > 3x - 7 is represented by a region colored red and the inequality y ≤ -2x + 1 represented by a region colored blue.

The solution set for given inequalities is the set of all points which are common to both the inequalities.

This solution set is represented by purple color.

Therefore, the solution set of given system of inequalities is the intersection region (purple colored region)

The correct graph is given by an option (B)

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To construct the first three Fourier approximations to the square wave function f(x) = 1, 0 ≤ x < π, and f(x) = -1, π ≤ x < 2π, we can use the Fourier series expansion.

The Fourier series represents a periodic function as an infinite sum of sine and cosine functions.

The Fourier series for the square wave function can be expressed as:

f(x) = (4/π) * (sin(x) + (1/3)sin(3x) + (1/5)sin(5x) + ...)

To obtain the first three Fourier approximations, we truncate the series after the third term. Therefore, the first three Fourier approximations to the square wave function f(x) are:

Approximation 1: f₁(x) = (4/π) * sin(x)

Approximation 2: f₂(x) = (4/π) * (sin(x) + (1/3)sin(3x))

Approximation 3: f₃(x) = (4/π) * (sin(x) + (1/3)sin(3x) + (1/5)sin(5x))

Each approximation improves upon the previous one by including additional terms from the Fourier series expansion. However, even with the three approximations, the square wave function is not perfectly represented due to the presence of higher-frequency components that are not included.

It's important to note that the Fourier series converges to the square wave function in the limit as the number of terms approaches infinity.

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The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:

(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]

This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.

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Answer:

44

Step-by-step explanation:

120 students - 12 no club students = 108 club students

108 club students - 64 language students = 44 maths club students

Answer:

there are 56 students who are members of only the Math club.

Step-by-step explanation:

Given information:

Total number of students = 120

Number of Math club members = 72

Number of Language club members = 64

Number of students who are members of neither club = 12

To find the number of students who are members of both clubs, we can use the principle of inclusion-exclusion. The formula is as follows:

Number of students in both clubs = Number of Math club members + Number of Language club members - Total number of students

Number of students in both clubs = 72 + 64 - 120 = 16

Now, to find the number of students who are members of only the Math club, we subtract the number of students in both clubs from the number of Math club members:

Number of students in only Math club = Number of Math club members - Number of students in both clubs

Number of students in only Math club = 72 - 16 = 56

The equation that can be represented by the number line is option D: -3 + (-1) = -4.

The equation that can be represented by the number line is option D: -3 + (-1) = -4.

Let's analyze each option:

A. -4 + 1 = -3: This equation does not represent the situation where we start from -4 and move 1 unit to the right on the number line, resulting in -3.

B. -3 + 4 = 1: This equation represents the situation where we start from -3 and move 4 units to the right on the number line, resulting in 1. However, this equation does not match the form of the equation in the options.

C. 3 + (-4) = -1: This equation represents the situation where we start from 3 and move 4 units to the left on the number line, resulting in -1. However, this equation does not match the form of the equation in the options.

D. -3 + (-1) = -4: This equation matches the form of the equation in the options, and it represents the situation where we start from -3 and move 1 unit to the left on the number line, resulting in -4.

Therefore, the equation that can be represented by the number line is option D: -3 + (-1) = -4.

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The equation that could be represented by the number line is  -3+ (-1) = -4 (option D)

Let us check each option and delve into their implications on the number line:

A. -4 + 1 = -3: This equation does not depict the scenario where we initiate from -4 and shift 1 unit towards the right on the number line, yielding -3.

B. -3 + 4 = 1: This equation represents the scenario where we commence from -3 and progress 4 units towards the right on the number line, culminating in 1. Nonetheless, this equation fails to conform to the prescribed structure specified in the options.

C. 3 + (-4) = -1: This equation portrays the scenario where we commence from 3 and proceed 4 units towards the left on the number line, resulting in -1. However, this equation does not align with the prescribed format presented in the options.

D. -3 + (-1) = -4: This equation adheres to the stipulated format outlined in the options, and it accurately represents the scenario where we initiate from -3 and traverse 1 unit towards the left on the number line, leading to -4.

There, the equation that can be aptly represented by the number line is option D: -3 + (-1) = -4.

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The researchers surveyed 14,765 American high school students and found that 27.3% of those surveyed were in grade 9.

When we talk about a group of people, we often use percentages to describe how many of them belong to a particular subgroup. In this case, the subgroup we're interested in is students in grade 9. The percentage of all American high school students who are in grade 9 is 26.5%.

Now, let's look at another subgroup of students in grade 9 - those who carried a gun to school. The survey found that 4.4% of the students surveyed in grade 9 had carried a gun to school.

In statistical terms, we use the term "parameter" to refer to a characteristic of the entire population we're interested in, while "statistic" refers to a characteristic of a sample from that population.

In this case, the parameter we're interested in is the percentage of all American high school students who are in grade 9, which is 26.5%. The statistic we're interested in is the percentage of surveyed students in grade 9 who had carried a gun to school, which is 4.4%.

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Answer:

get the inequality first ! x<44

Step-by-step explanation:

3/4x+8<41 ( subtract 8 from both sides. 8 cancels out. and 41-8=33 )

3/4x<33 ( multiply both sides by 4/3)

3/4 ×4/3 = 1

33×33 =44

x<44

and to graph it your line should have a open circle on 44 and point to the left.

kinda like this:

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