Name the three-dimensional figure that is formed by folding the net.

prism

cube

rectangle

cylinder

Answer:

D) 11x² + 7

Step-by-step explanation:

combine "like" terms

Answer:

5

Step-by-step explanation:

x = 5 ( as the radius of the circle)

An explicit formula for aₙ, the nth term of the arithmetic sequence is aₙ = 27 - 4(n - 1).

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ = a₁ + (n - 1)d

Where:

From the information provided, we have the following parameters:

First term, a₁ = 27

Second term, a₂ = 31

Next, we would determine the common difference as follows:

Common difference, d = a₂ - a₁

Common difference, d = 31 - 27

Common difference, d = 4.

Substituting the parameters into the mathematical expression, we have;

aₙ = 27 + (n - 1)(4)

aₙ = 27 - 4(n - 1).

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The change from Fahrenheit to Celsius temperature data will have no effect on the correlation coefficient. The correlation coefficient, denoted as r, measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient is calculated as r = -0.1198.(option c)

Changing the temperature data from degrees Fahrenheit to degrees Celsius involves a linear transformation of the data. Specifically, the formula for converting temperature from Fahrenheit to Celsius is C = (F - 32) * (5/9), where C is the temperature in Celsius and F is the temperature in Fahrenheit.

Linear transformations of data do not affect the correlation coefficient. The correlation coefficient measures the strength and direction of a linear relationship between two variables, and this relationship remains unchanged under linear transformations of either variable. Therefore, converting the temperature data from degrees Fahrenheit to degrees Celsius will have no effect on the correlation coefficient, and it will remain at r = -0.1198.

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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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Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

Answer:

π = 22/7

²²/7= 3.14

Step-by-step explanation:

22/7= 3.14

Answer:

Step-by-step explanation:    3?    

The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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❄ Hi there,

let us revise the two rounding rules before getting down to the actual process of rounding.

\(\sf{Rules:}\)

Let's see these rules in action!

The number is – \(219.2\).

Nearest whole number – \(219\), which is followed by a number between 0 and 4, so we just drop that number :

\(\sf{219.2- > > 219}\)

❄

Answer:

-1/5?

Step-by-step explanation:

the line goes 1 down and 5 to the right before it hits the next point (rise/run)

The true or false statements based on the graph on the lengths of ribbons are:

The graph shows that most common length that a ribbon has is 11²/₈ with 3 ribbons. At a simpler term, this becomes 11¹/₄.

The sum of the longest and shortest lengths is:

= 11¹/₄ + 9⁷/₈

= 21⁹/₈

The sum is therefore not 20¹/₈.

The difference between the longest and shortest lengths is:

= 11¹/₄ - 9⁷/₈

= 1³/₈

This is not 2 ¹/₈

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The required probability of occupying seats at the end of the row by April and Bobby is equals to 0.0333.

We have,

Number of chairs in a row =  5

April and Bobby need to occupy the two end chairs.

The other two people, Bill and Candace, can sit in any of the 3 remaining chairs.

The total number of ways to seat the 4 people in the 5 chairs is

= 5!/(5-4)!

= 5x4x3x2

= 120.

April can sit in either of the two end chairs, and then Bobby can sit in the other end chair.

Bill and Candace can then sit in either of the two remaining chairs, in either order.

The number of ways to seat April and Bobby at the ends of the row is,

=  2x1x2x1

= 4.

Probability that April and Bobby will occupy the seats at the end of the row is,

4/120

= 1/30

= 0.0333

Therefore, the probability of April and Bobby occupy seats at the end of the row is 1/30 or approximately 0.0333.

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The total area of the figure in this problem is given as follows:

41.3 ft².

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Then the area of the triangle is given as follows:

At = 0.5 x 6 x 3 = 9 ft².

The area of the semicircle is given as follows:

Ac = π x 3² = 28.3 ft².

The area of the square is given as follows:

As = 2² = 4 ft².

Then the total area of the figure is given as follows:

9 + 28.3 + 4 = 41.3 ft².

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x .y .z = 1  is the value of Algebraic functions.

What is  Algebraic functions?

\(P = b^{x}\)

\(q = b^{y}\)

\(b^{2} = (p^{y} * q^{x} )^{z}\)

\(b^{2} = ( (b^{x} )^{y} * ( b^{y})^{x} )^{z}\)

\(b^{2} = ( (b^{xy} * b^{xy} )^{z}\)

\(b^{2} = ( b^{xy + xy} )^{z}\)

\(b^{2} = (( b)^{2xy} )^{z}\)

\(b^{2} = ( b)^{2xyz}\)

now compare the power

2 = 2xyz

x .y .z = 1

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Answer:

c

Step-by-step explanation:

Answer:

Second choice

Step-by-step explanation:

f(x) = (1/4)(x + 4)^2 - 9

f(x) = (1/4)(x^2 + 8x + 16) - 9

f(x) = (1/4)x^2 + 2x + 4 - 9

f(x) = (1/4)x^2 + 2x - 5

(1/4)x^2 + 2x - 5 =

= (1/2 x + 5)(1/2 x - 1)

Answer: Second choice

the total way the committee formed is 3080.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

The available candidates from a group are 8 Democrats and 11 Republicans.

Three Democrats and two Republicans must be included on the committee that we choose.

Thus, from a pool of 11 Republicans and 8 Democrats, we must select 3 each.

Both 8C3 and 11C2 approaches are viable for achieving this.

8C3 * 11C2 = 3080 are the total ways to form this committee.

Hence the total way the committee formed is 3080.

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The relative frequency distribution of the values of the mean of these 15,504 different samples would specify the sampling distribution of the mean.

The sampling distribution of the mean refers to the distribution of sample means obtained from repeated sampling from the same population.

In this case, we have 15,504 different samples of size 5 drawn from a population of 20 hospitals.

Each sample has its own sample mean. The relative frequency distribution of these sample means would specify the sampling distribution of the mean.

The sampling distribution of the mean is important in statistics because it allows us to make inferences about the population mean based on the distribution of sample means.

It helps us understand the variability of sample means and provides a basis for constructing confidence intervals and conducting hypothesis tests.

Therefore, the relative frequency distribution of the mean values from the different samples would describe the characteristics of the sampling distribution of the mean..

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Answer:

x=14

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

2(x - 9) = 10

2x - 18 = 10

add 18 o each side of the equation:

2x = 28

divide both sides by 2:

x = 14

Answer:

hello again haha

-2, -1, 0, 1

#1

Slope=

\(\\ \rm\Rrightarrow m=4-2/2-1=2\)

Equation in point slope form

\(\\ \rm\Rrightarrow y-2=2(x-1)\)

\(\\ \rm\Rrightarrow y-2=2x-2\)

\(\\ \rm\Rrightarrow y=2x\)

Graph attached

#2

Same like before

Equation of the line:-

\(\\ \rm\Rrightarrow y=3x\)

Graph attached

Step-by-step explanation:

y = x + 2

X. Y

3. 5

4. 6

5. 7

6. 8

Based on this table, the graph that best represents the table is the one on the right.

Answer:

D) 33

Step-by-step explanation:

(x+4)²-3, so when x=2

(2+4)²-3

6²-3

36-3

33

Answer:

Eva is 17 years old

Step-by-step explanation:

First, we know that Ana is 12 years younger than Eva.

This means that, if Eva is x years, then Ana would be (x-12) years old

Now, within 7 years Eva’s age is twice that of Ana

Mathematically, that means when we add 7 years to each of their ages, we have the result as in the statement above.

Thus;

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

x + 7 = 2(x-5)

x + 7 = 2x -10

2x-x= 10 + 7

x = 17 years

Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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