Tammy jumped up 9 steps. Each step was
7/10 feet high.
How high up did she jump altogether?
Write your answer in simplest form.

Answer:

False. The union of two events A and B has outcomes from event A or event B or both A and B.

Answer:

c

Step-by-step explanation:

The model developed from sample data that has the form of "b0 + b1x" is known as the estimated regression equation(a).

The estimated regression equation is a mathematical model that represents the relationship between a dependent variable and an independent variable.

It is commonly expressed as "b0 + b1x," where b0 represents the intercept or constant term, b1 represents the coefficient of the independent variable x, and x represents the value of the independent variable.

The estimated regression equation is used to estimate or predict the value of the dependent variable based on the given independent variable(s) and the estimated coefficients. So equation a is correct.

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Step-by-step explanation:

\(4(m - 15) = 7m + 9\)

\(4m - 60 = 7m + 9\)

\( - 60 - 9 = 7m - 4m\)

\( - 69 = 3m\)

\(m = \frac{ - 69}{3} \)

\(m = - 23\)

Hello!

4(m-15)=7m+9

4m -60 =7m +9

-60 -9 = 7m -4m

-69 = 3m

3m = -69

m = -69/3

m = -23

Answer:

B. ( x + 3 ) ^2 - 5

Step-by-step explanation:

( x + 3 ) ^2 = ( x + 3 ) *( x + 3 )

( x + 3 ) ^2 = ( x^2 + 6 x + 9 )

(x^2 + 6 x + 9) is 5 higher than x^2 + 6x + 4, so subtract 5

(x^2 + 6 x + 9) - 5

( x + 3 ) ^2 - 5

To draw a vector starting at black dot 3, consider its location and orientation, consider vector V 2v→2, draw a vector in the same direction as V 2v→2, and double-check accuracy and grading criteria.

To draw the vector starting at the black dot 3, you need to consider the location and orientation. The exact length of the vector will not be graded, but the length relative to vector V 2v→2 will be graded.

Here's how you can draw the vector:

1. Start by locating the black dot 3 on your coordinate plane.
2. Determine the direction and orientation of the vector based on the given information.
3. Consider vector V 2v→2 and its length.
4. Draw a vector starting at black dot 3 that is in the same direction as V 2v→2. Remember, the length of this vector is not important, but its relative length compared to V 2v→2 is graded.
5. Make sure the vector starts at black dot 3 and points in the same direction as V 2v→2.

Remember to double-check your work and ensure that the vector is accurate and meets the grading criteria.

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When determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to: determining the number of possible values for each foreign key in the fact table.

The measures, metrics, or facts of a business process are contained in a fact table in data warehousing. In a star or snowflake schema, it sits in the middle, surrounded by dimension tables.

When several fact tables are employed, they are organized according to a fact constellation schema. The two types of columns that make up a fact table are typically those that hold facts and those that serve as a foreign key to dimension tables.

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A proportion is an equation in which two ratios are set equal to each other. No option is satisfying the proportion

Ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

In the given question, rayon drove 320 miles in 5 hours to complete the first part of his trip. 12 hours to drive 768 miles.

we can write this

320miles/5 = 768 miles/12

320miles/768 miles=5/12

In option d the values are not given in a correct way. It doesnot hold for the proportion.

Hence no option is correct.

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The force exerted by the water on the toy car is 33 N. The negative sign indicates that the force is in the opposite direction to the motion of the water. Therefore, the force exerted by the water on the toy car is 33 N.

The water leaves the hose at a rate of 3.6-kg per 2.5-s with a speed of 20.5-m/s. This can be calculated as follows:mass flow rate = 3.6 kg / 2.5 s = 1.44 kg/sThe momentum of the water before it hits the toy car can be calculated as follows:momentum before = mass x velocity = 1.44 kg/s x 20.5 m/s = 29.52 kg m/s

The water slows down to 3.1 m/s after hitting the toy car, which means that the change in momentum is as follows:Δmomentum = momentum after - momentum before = 0 - 29.52 kg m/s = -29.52 kg m/s. Because momentum is conserved, the change in momentum of the water must be equal and opposite to the change in momentum of the toy car. Therefore, we can calculate the force exerted by the water on the toy car as follows:Δmomentum = force x timeΔmomentum = mass x Δvelocityforce = Δmomentum / time = (mass x Δvelocity) / timeforce = (3.6 kg x (3.1 m/s - 20.5 m/s)) / 2.5 s = -33 NThe negative sign indicates that the force is in the opposite direction to the motion of the water. Therefore, the force exerted by the water on the toy car is 33 N.

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First, we can find the total number of outcomes by adding all the numbers on the table:

then, let A be the event "a randomly selected oar was purchased in 2011" and let B be the event "a randomly selected oar was not made from ash wood". Then, their probabilities are:

then, the probability that event A or B happen is:

therefore, the probability is 87/97

Answer:

\(f(n)=f(n-1) + 4(3)^{n-2}\)

\(\textsf{where}\quad f(1)=4\)

Step-by-step explanation:

Given sequence:  4, 8, 20, 56, 164

First, work out the difference in the terms:

\(4 \underset{+4}{\longrightarrow} 8 \underset{+12}{\longrightarrow} 20 \underset{+36}{\longrightarrow} 56 \underset{+108}{\longrightarrow} 164\)

As the first differences are not the same, work out the second differences:

\(4 \underset{\times 3}{\longrightarrow} 12 \underset{\times 3}{\longrightarrow} 36 \underset{\times 3}{\longrightarrow} 108\)

Therefore, the term-to-term rule is:

\(f(n)=f(n-1) + 4(3)^{n-2}\)  

\(\textsf{where}\quad f(1)=4\)

\(f(2)=f(1) + 4(3)^{2-2}=4+ 4(3)^{0}=4+4=8\)

\(f(3)=f(2)+4(3)^{3-2}=8+4(3)^1=8+12=20\)

\(f(4)=f(3) + 4(3)^{4-2}=20+4(3)^2=20+36=56\)

\(f(5)=f(4) + 4(3)^{5-2}=56+4(3)^3=56+108=164\)

Using  cylindrical coordinates ∫∫∫ (r^3cos^2θ) dz dr dθ, where r ranges from 0 to 2, θ ranges from 0 to 2π, and z ranges from 0 to √(36r^2).

To evaluate the integral ∫∫∫ x^2 dV over the solid e, using cylindrical coordinates, we need to express the integral in terms of cylindrical coordinates and determine the appropriate bounds for the variables.

In cylindrical coordinates, the solid e can be defined as follows:

Radius: r ranges from 0 to 2 (from x^2 + y^2 = 4, taking the square root).

Angle: θ ranges from 0 to 2π (full revolution around the z-axis).

Height: z ranges from 0 to the height of the cone, which is determined by z^2 = 36x^2 + 36y^2.

To convert the integral, we need to express x^2 in terms of cylindrical coordinates:

x^2 = (rcosθ)^2 = r^2cos^2θ

The integral in cylindrical coordinates becomes:

∫∫∫ (r^2cos^2θ) r dz dr dθ

Now we can determine the bounds for the variables:

r ranges from 0 to 2.

θ ranges from 0 to 2π.

z ranges from 0 to the height of the cone, which can be determined by setting z^2 = 36r^2.

Substituting the bounds and integrating, we can evaluate the integral to find the desired result.

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The pattern for the sequence 8, 17, 26, 35, 44, … is 9n - 1

The pattern in the question is given as

8, 17, 26, 35, 44, …

In the above expressions and pattern, we can see that

The current term is added to 9 to get the next term

From the above, we have the following

This means that the pattern is an arithmetic sequence with the following features

a = 8

d = 9

An arithmetic sequence is represented as

f(n) = a + (n - 1)d

When the values of "a" and "d" are substituted in the above equation, we have the pattern to be

f(n) = 8 + (n - 1)9

So, we have

f(n) = 8 + 9n - 9

Evaluate

f(n) = 9n - 1

Hence, the pattern for the sequence is 9n - 1

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The rule for the new coordinates of point P, after the translation up 3 units, are given as follows:

(x, x² + 3).

There are four translations, and they are defined as follows:

The function for this problem is defined as follows:

y = x².

Hence the coordinates for each point on the function are given as follows:

(x,y) = (x, x²).

Considering the translation up 3 units, the function is then defined as follows:

y = x² + 3.

Meaning that the coordinates for each point on the translated function are given as follows:

(x,y) = (x, x² + 3).

Hence you can take the coordinate of P, keep the x-coordinate constant, and add 3 to the y-coordinate.

The coordinates of P are not given, hence the problem was answered in general terms.

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To find the conversion factor for converting from one unit to another involving squares or cubes, we need to use the relationship between the units that are being converted and the appropriate power of the conversion factor.

The conversion from yards to feet and vice versa involves the concepts of squares and cubes.

There are 3 feet in 1 yard, so the number of feet squared in one square yard is (3 feet)² = 9 square feet (because 3² = 9). This is why there are 9 square feet in 1 square yard.

Similarly, there are 3 feet in 1 yard, so the number of feet cubed in one cubic yard is (3 feet)³ = 27 cubic feet (because 3³ = 27). This is why there are 27 cubic feet in 1 cubic yard.2.

To find conversion factors involving squares or cubes, we need to use the relationship between the units that are being converted.

For example, to convert from square feet to square yards, we know that there are 9 square feet in 1 square yard. So the conversion factor is:1 square yard / 9 square feet

Similarly, to convert from cubic feet to cubic yards, we know that there are 27 cubic feet in 1 cubic yard. So the conversion factor is:1 cubic yard / 27 cubic feetIn general, to find the conversion factor for converting from one unit to another involving squares or cubes, we need to use the relationship between the units that are being converted and the appropriate power of the conversion factor.

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A yard is equivalent to 3 feet. Hence, a square yard is equivalent to 9 square feet (3^2) and a cubic yard is equivalent to 27 cubic feet (3^3). Conversion factors for squares or cubes are found by squaring or cubing the base conversion factor.

In terms of measurement conversion, 1 yard is equivalent to 3 feet. When dealing with square units like square feet and square yard, we square this conversion factor, thus 1 square yard is equivalent to 3^2 or 9 square feet.

Similarly, for cubic measurements, we cube the conversion factor. Therefore, 1 cubic yard is equivalent to 3^3 or 27 cubic feet.

To find conversion factors involving squares or cubes, you typically square or cube the base conversion factor. For example, if converting inches to feet, the base conversion is 1 foot is 12 inches. For square inches to square feet, you'd square the conversion so 1 square foot is 144 (12^2) square inches. Finally, for cubic feet to cubic inches, you'd cube the base conversion thus 1 cubic foot is 1728 (12^3) cubic inches.

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Answer:

Miguel

Step-by-step explanation:

What we know:

Miguel ate 3/4 of his sandwich.

Annie ate 5/8 of her sandwich.

First we have to make the denominators equal.

3/4×2=6/8

6 is bigger than 5 so it would be 6/8 or 3/4 and Miguel ate 3/4.

Can I please have brainliest?

Answer:

x = 10

Step-by-step explanation:

It says they equal each other so equal the two separate expressions together

-2x + 30 = 2x - 10

goal is to isolate variable x

add 2x to both sides (this cancels out the -2x on the left side)

30 = 4x - 10

add 10 to both sides (this cancels out the -10 on the right side)

40 = 4x

divide 4 by both sides (cancels out 4 on the right side)

10 = x

a. To show that the model can be written as xt = δt + ∑1twk, we can use induction.

For t = 1:

x1 = δ + x0 + w1

= δ + 0 + w1

= δ + w1

So the base case holds.

Assume that the model holds for t = k, i.e., xk = δk + ∑1k wk.

For t = k+1:

xk+1 = δ + xk + wk+1

= δ + (δk + ∑1k wk) + wk+1

= δk+1 + ∑1k+1 wk

Therefore, by induction, the model can be written as xt = δt + ∑1twk.

v. To find the mean function of xt, we can take the expected value of both sides of the model equation:

E[xt] = E[δt + ∑1twk]

= E[δt] + E[∑1twk]

= δt + ∑1tE[wk]

= δt

So, the mean function of xt is given by μt = δt.

To find the autocovariance function of xt, we need to calculate Cov(xt, xs) for s ≠ t.

For s < t:

Cov(xt, xs) = Cov(δt + ∑1twk, δs + ∑1swk)

= Cov(δt, δs) + Cov(δt, ∑1swk) + Cov(∑1twk, δs) + Cov(∑1twk, ∑1swk)

= 0 + 0 + 0 + Cov(∑1twk, ∑1swk)

= Cov(∑1twk, ∑1swk)

= Cov(wt + ∑1t-1wk, ws + ∑1s-1wk)

= Cov(wt, ws) + Cov(wt, ∑1s-1wk) + Cov(∑1t-1wk, ws) + Cov(∑1t-1wk, ∑1s-1wk)

= 0 + 0 + 0 + Cov(∑1t-1wk, ∑1s-1wk)

Since wt and wk are white noise with mean zero and variance σw^2, their covariance is zero unless t = s. Therefore, we have:

Cov(xt, xs) = 0 for s < t

For s > t, the covariance remains zero as well, since we can use the same logic as above.

For s = t, we have:

Cov(xt, xs) = Cov(δt + ∑1twk, δt + ∑1twk)

= Cov(δt, δt) + Cov(δt, ∑1twk) + Cov(∑1twk, δt) + Cov(∑1twk, ∑1twk)

= Var(δt) + Cov(∑1twk, ∑1twk)

= Var(δt) + Var(∑1twk) + 2Cov(∑1twk, ∑1twk)

= Var(δt) + Var(∑1twk) + 2∑1t-1Cov(wk, wk)

= Var(δt) + Var(∑1twk) + 2∑1t-1σw^2

Since δ is a constant and wk is a white noise process, Var(∑1twk) = ∑1tVar(wk) = tσw^2.

Therefore, we have:

Cov(xt, xs) = Var(δt) + tσw^2 + 2∑1t-1σw^2

= Var(δt) + tσw^2 + 2σw^2(t-1)

= Var(δt) + 3tσw^2 - 2σw^2

Finally, we can conclude that the mean function of xt is μt = δt, and the autocovariance function of xt is Cov(xt, xs) = Var(δt) + 3tσw^2 - 2σw^2.

c. To determine if xt is stationary, we need to check if the mean function and autocovariance function are independent of time (t).

In this case, the mean function is μt = δt, which is dependent on time. Therefore, xt is not stationary.

Similarly, the autocovariance function Cov(xt, xs) = Var(δt) + 3tσw^2 - 2σw^2 depends on both t and s, so xt is not stationary.

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Answer:

D. 0

General Formulas and Concepts:

Algebra I

Pre-Calculus

Calculus

Step-by-step explanation:

Step 1: Define

f(x) = csc(x)

f'(π/2) is x = π/2

Step 2: Differentiate

Step 3: Evaluate

Answer:

Se calcula el maximo comun divisor.

195/5 = 39

275/5 =55

315/5 =63

460/5= 92

525/5 =105

Se deben utilizar 354 garrafas

Step-by-step explanation:

Descomponemos cada número en factores primos.

Después, señalamos los factores comunes.

A continuación, en cada uno de los comunes, escogemos el factor con menor exponente.

Y por ultimo, multiplicamos los factores elegidos.

195 3 275 5 315 3 460 2 525 3

65 5 55 5 105 3 230 2 175 5

13 13 11 11 35 5 115 5 35 5

1  1  7 7 23 23   7 7

   1   1    1  

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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Answer:

8lb

Step-by-step explanation:

6+5+9=20

28-8=20

28/4=7

average=mean

Answer:

c

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

a. The private, nonprofit four-year colleges and universities have a larger relative variability because their coefficient of variation is higher than that of public four-year colleges and universities.

b. The largest and smallest amount paid at the​ four-year private, nonprofit colleges and universities is $32,315

a. To determine whether private, nonprofit four-year colleges and universities have larger relative variability, we can compare the coefficients of variation (CV) for both groups. The coefficient of variation is calculated as the ratio of the standard deviation to the mean, multiplied by 100 to express it as a percentage.

For public four-year colleges and universities:

CV = (Standard Deviation / Mean) * 100

CV = ($4,250 / $31,090) * 100 ≈ 13.67%

For private, nonprofit four-year colleges and universities:

CV = (Standard Deviation / Mean) * 100

CV = ($12,150 / $32,315) * 100 ≈ 37.63%

Comparing the coefficients of variation, we can see that private, nonprofit four-year colleges and universities have a larger relative variability because their coefficient of variation is higher than that of public four-year colleges and universities.

b. If the data on published tuition and fees were bell-shaped, the largest and smallest amounts paid at the four-year private, nonprofit colleges and universities would be determined using the z-scores and the mean and standard deviation.

Assuming a normal distribution, we can use z-scores to find the corresponding values.

For the largest amount:

z = (Amount - Mean) / Standard Deviation

z = (X - $32,315) / $12,150

By looking up the corresponding z-value in the z-table, we can determine the proportion of data beyond that value. Since we want the largest amount, the proportion beyond that value would be 0 (or close to 0). Therefore, the largest amount would be a very high value, possibly an outlier.

For the smallest amount:

z = (Amount - Mean) / Standard Deviation

z = (X - $32,315) / $12,150

By looking up the corresponding z-value in the z-table, we can determine the proportion of data below that value. Since we want the smallest amount, the proportion below that value would be 0. So the smallest amount would be a very low value, possibly an outlier.

Original Question

Each​ fall, a certain organization releases survey results on how much colleges and universities are charging undergraduate students in the new academic year. The survey indicated that the average published tuition and fees for a certain academic year were​ $310 9,310 at public​ four-year colleges and universities and ​$32,315 at​ private, nonprofit​ four-year colleges and universities. Assume that the standard deviation was approximately ​$4,250 at public​ four-year colleges and universities and approximately ​$12,150 for private colleges and universities. Complete parts a and b.

a. Do the​ private, nonprofit​ four-year colleges and universities have the larger relative​ variability? Select the correct choice below and fill in the answer box to complete your choice

b. If the data on published tuition and fees were​ bell-shaped, determine the largest and smallest amount paid at the​ four-year private, nonprofit colleges and universities.

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Answer:

19.25 feet

Step-by-step explanation:

Let x be the width of the rectangle in feet. Then, the length of the rectangle is x + 3.5 feet. Since the area of a rectangle is equal to its length times its width, we know that the area of the rectangle is (x + 3.5) * x = 65 square feet.

We can solve for x by setting up the equation (x + 3.5) * x = 65 and then solving for x. This gives us the following:

x^2 + 3.5x - 65 = 0

To solve this quadratic equation, we can use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = 3.5, and c = -65, so we have:

x = (-3.5 +/- sqrt(3.5^2 - 4(1)(-65))) / 2(1)

Solving for x, we get:

x = (-3.5 +/- sqrt(12.25 + 260)) / 2

Therefore, the width of the rectangle is x = (-3.5 +/- 19.25) / 2 = -0.75 or 15.75 feet. Since the length of the rectangle is x + 3.5 feet, this means that the length of the rectangle is (-0.75 + 3.5) feet or (15.75 + 3.5) feet, which is equal to 2.75 feet or 19.25 feet.

However, we know that the length of the rectangle must exceed its width by 3.5 feet, so the only solution that is physically possible is x = 15.75 feet and the length of the rectangle is 19.25 feet. Therefore, the length of the rectangle is 19.25 feet.

Answer: I believe it would be no solution

Step-by-step explanation

Answer:

No solutions

Step-by-step explanation:

y=7x+12;y=7x+2

Step: Solvey=7x+12for y:

y=7x+12

Step: Substitute7x+12foryiny=7x+2:

y=7x+2

7x+12=7x+2

7x+12+−7x=7x+2+−7x(Add -7x to both sides)

12=2

12+−12=2+−12(Add -12 to both sides)

0=−10

The period of time between treatments in which no treatment is given so that the effects of a previous treatment are eliminated before introducing a new treatment is called a washout period.

The period of time between treatments in which no treatment is given so that the effects of a previous treatment are eliminated before introducing a new treatment is called a washout period.

This period allows the body to return to its baseline state before starting a new treatment. The duration of the washout period depends on the specific treatment and its effects on the body.

The washout period allows for the evaluation of the effects of the new treatment without interference from the previous medication or treatment. The goal of a washout period is to reduce the potential for confounding variables that could impact the accuracy and reliability of the study results.

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