Work out the surface area of this Cylinder
Radius= 7cm
Height= 12cm

Answer:

He is wrong by 7.14%

Answer:

7.14

Step-by-step explanation:

a) 102 of the freshmen like jazz.

b) 306 of the freshmen like neither jazz nor rock.

c) 76 of the freshmen like both rap and rock, but don't like jazz.

The Venn diagram provided shows the result of the survey conducted by the college radio station to determine the number of incoming freshmen that like jazz music, rock music, and rap music.

A Venn diagram is a graphical representation of all possible logical relations among a set of finite collections of different sets or categories.

To answer the questions:

What is the number of freshmen that like jazz?

From the Venn diagram, the number of freshmen that like jazz music = 102 freshmen.

What is the number of freshmen that like neither jazz nor rock?

From the Venn diagram, the number of freshmen that like neither jazz nor rock music = 306 freshmen.

What is the number of freshmen that like both rap and rock, but don't like jazz?

From the Venn diagram, the number of freshmen that like both rap and rock music but don't like jazz music = 76 freshmen.

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Answer:

x=-8

Step-by-step explanation:

-4x-(8)=24

     +8=+8

-4/-4x=32/-4

x=-8

The direct variation equation that shows the relationship between x and y, where y = 20 when x = 5, is y = 4x.

In a direct variation, the relationship between two variables can be described by the equation y = kx, where y and x are the variables and k is the constant of variation. This equation indicates that y varies directly with x, which means that as x increases or decreases, y also increases or decreases proportionally.

To find the constant of variation, we need to use the given information about the values of y and x. In this case, we are told that when x = 5, y = 20. We can substitute these values into the direct variation equation:

y = kx

20 = k(5)

To solve for k, we divide both sides by 5:

k = 20/5

Simplifying this expression, we get:

k = 4

Therefore, the direct variation equation that shows the relationship between x and y is:

y = 4x

This equation means that for any value of x, if we multiply it by 4, we will get the corresponding value of y. For example, if x = 2, then y = 4(2) = 8. If x = 10, then y = 4(10) = 40. In other words, y is always four times the value of x in a direct variation relationship.

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SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

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Step-by-step explanation:

both are converted to fraction

with 5 as the denominator

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

From the expression m = 5a + 2f,

The value of a is

a = (1/5)m - (2/5)f

The value of f is

f = (1/2(m - (5/2)a

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

We have,

m = 5a + 2f

We will solve for a and f.

Solve for a.

m = 5a + 2f

Subtract 2f on both sides.

m - 2f = 5a

Divide both sides by 5.

m/5 - (2/5)f = a

a = (1/5)m - (2/5)f

Solve for f.

m = 5a + 2f

Subtract 5a on both sides.

m - 5a = 2f

Divide both sides by 2.

f = (1/2(m - (5/2)a

Thus,

From the expression m = 5a + 2f,

The value of a is

a = (1/5)m - (2/5)f

The value of f is

f = (1/2(m - (5/2)a

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Answer:A

Step-by-step explanation:

Answer:

She ran 28 miles cause if you add 17 and 11 you get 28! Hope this helped!

Step-by-step explanation:

Answer:

You can do 26/2=13 and then 13-2=11 which means 11 people were there last months

Step-by-step explanation:

Answer:

Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)

Answer:

hehhfhrhrjrhrh

Step-by-step explanation:

jfjfjurufurufufjfufuhfhfjfirjfujrjfirkfkhu is the term-to-term of all 4x 4 in a number subtract and its own in an expression 6.40 is the term-to-term of all that they are students to the people who is the true and their family sense TTYL their minds to the people who is the term-to-term

The statement is false. The equation exy′=y is not linear. A linear equation is an equation where the variables and their derivatives appear in a linear form, which means they are raised to the first power and are not multiplied or divided together.

In the given equation, we have the term ex multiplied by the derivative of y, which means the derivative term is not linear. Therefore, the equation exy′=y cannot be classified as linear.

To further illustrate the non-linearity, let's consider an example. Suppose we have the equation exy′=y. If we rearrange the equation, we get y′=y/ex. Now, let's take the derivative of both sides with respect to x. Applying the product rule, we have:

(y′)' = (y/ex)'

Differentiating the right side using the quotient rule, we get:

(y′)' = (y'ex - yex')/(ex)²

This equation shows that the second derivative of y is influenced by both y' and x'. Therefore, the equation is nonlinear due to the presence of y' and x' in the second derivative term.

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The equation is b1 = 2Ah - b2

Note that the subject of formula is described as the variable that is made to stand alone on one of the equality sign.

From the information given, we have the equation as;

A = 1/2h(b1+ b2)

Such that the parameters are;

Now, make B1, the subject of formula;

cross multiply the values

2Ah = (b1+ b2)

collect the like terms

b1 = 2Ah - b2

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Answer:

Train A : 143 tons ; Train B : 18 tons

Step-by-step explanation:

Call train A as A, train B as B

A + B = 161t
A - B = 125t

A = (161+125) : 2 = 143t
B = 143t - 125t = 18t

The length seen in the miscroscope is 3.3 inches

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

Scale factor = 10

Object length = 0.33 in

This means that the length of the object seen through the microscope is 10 times the actual length.

So, we have

Length = 10 * Actual length

The actual length is 0.33 inches, so the length seen through the microscope is:

Length = 10 * 0.33

Length = 3,3

Hence, it would appear to be 3.3 inches long when viewed through Sam's microscope.

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The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.

The larger the sample size, the more closely the sample means will approximate a normal distribution.

which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.

The given question is incomplete , the complete question is

Which best describes what the Central Limit Theorem states ?

(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

(b) All distributions have the same mean.

(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.

(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.

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The distance between the two points ( − 2 , 5 ) and ( − 8 , − 3 ) is 10 units.

We are given the two points:

( − 2 , 5 ) and ( − 8 , − 3 )

We need to find the distance between the two points.

The formula for distance is given as:

Distance = √ (x₂ - x₁)² + (y₂ - y₁)²

Substituting the values, we get that:

Distance = √ ( - 8  + 2 )² + (- 3 - 5)²

Distance = √ ( - 6 )² + ( - 8 )²

Distance = √ 36 + 64

Distance = √ 100 .

Distance = 10 units.

Therefore, we get that, the distance between the two points ( − 2 , 5 ) and ( − 8 , − 3 ) is 10 units.

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Answer:

mmmm

Step-by-step explanation:

!!!

Answer:

see explanation

Step-by-step explanation:

∠ CDF and 137° are a linear pair and sum to 180° , then

∠ CDF = 180° - 137° = 43°

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

the sum of the 3 angles in Δ CDF = 180° , then

∠ CFD + 43° + 32° = 180°

∠ CFD + 75° = 180° ( subtract 75° from both sides )

∠ CFD = 105°

then

∠ AFB = ∠ CFD = 105° ( vertically opposite angles are congruent )

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

∠ ABF= ∠ FCD = 32° ( alternate angles are congruent )

The x-intercept is 12 and represents the number of pieces and the y-intercept is 48 and represents the initial length.

A straight line on the coordinate plane is represented by a linear function.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given function,

y = 48 - 4x

At x-intercept, y = 0

48 - 4x = 0

x = 12

Since x is the number of cuts so it represents that we can cut 12 pieces.

At y-intercept , x = 0

y = 48

Since 48 is the initial length so it represents the initial length.

Hence "The beginning length is represented by the y-intercept, which is 48, and the number of pieces is represented by the x-intercept, which is 12".

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Answer:

15cm

Explanation:

the formula for calculating the perimeter of a rectangle is (length + breadth) ÷ 2. so, we can divide the given perimeter by 2 to find the sum of the length and breadth of the rectangle:

42 ÷ 2 = 21cm

now, since we know the length of the rectangle is 6cm, we can subtract it from the sum of the length and breadth:

21 - 6 = 15cm

thus, the breadth of the rectangle is 15cm.

i hope this helps! :D

Answer:

Step-by-step explanation:

The relationship between the number of cups of water, w, and the number of cups of

lemon juice, j, used in a recipe is described by the equation shown.

j = 2w

To evaluate the number of cups pr cup of juice, find the value of w given j=1

1=2w

w=1/2

iHalf a cup of water is needed for each cup of lemeonce ju

Answer:

i don't know how i can help you

Step-by-step explanation:

The inequality is 0.15x ≤ 5.00. If copies of a flyer at a store that charges $0.15 per copy, the maximum number of copies you can afford to make is 33.

The inequality that represents the number of copies you can make is:

0.15x ≤ 5.00

Here, x represents the number of copies you can make, and 0.15 is the cost per copy in dollars. The inequality states that the total cost of copies must be less than or equal to the amount of money you have.

To find the maximum number of copies you can afford to make, we need to solve for x:

0.15x ≤ 5.00

x ≤ 5.00/0.15

x ≤ 33.33

Since you cannot make a fraction of a copy, the actual number of copies you can make is 33 or less.

In conclusion, the inequality that represents the number of copies you can make is 0.15x ≤ 5.00, and the maximum number of copies you can afford to make is 33.

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You have $5.00 and you need to make copies of a flyer at a store that charges $0.15 per copy. Find the inequality that represents the number of copies you can make. Use x as the variable. What is the maximum number of copies you can afford to make?

Answer: B

Step-by-step explanation:

If you use slope-intercept form, you can see that B uses the equation y = 5x - 4, and you can also see that it is linear since it is proportional. The only coordinate plane that has a nonlinear line is D.

Answer:

y-1 = -⅗(x-5)

Step-by-step explanation:

This statement may be true for certain matrices, but it is not true in general.

To answer this question, we first need to understand what it means for a set of vectors to be linearly independent. A set of vectors is linearly independent if no vector in the set can be expressed as a linear combination of the others. In other words, the only way to get the zero vector as a linear combination of the vectors in the set is to set all the coefficients to zero.
Now, let's consider the statement that if the columns of a square matrix A are linearly independent, then so are the rows of A^3. To disprove this statement, we just need to find a counterexample - a square matrix A whose columns are linearly independent, but whose rows are not linearly independent in A^3.
Consider the following matrix A:
A = [ 1 0 0
     0 1 0
     0 0 0 ]
The columns of A are clearly linearly independent, since there are no non-zero coefficients that can be used to get the zero vector. However, if we calculate A^3, we get:
A^3 = [ 1 0 0
       0 1 0
       0 0 0 ]
The rows of A^3 are not linearly independent, since the third row is all zeros and can be expressed as a linear combination of the first two rows.
Therefore, we have disproved the statement that if the columns of a square matrix A are linearly independent, then so are the rows of A^3. It is important to note that this statement may be true for certain matrices, but it is not true in general.

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To find out at what point will the ball hit the ground if Chase needs to throw a basketball so that the path of the ball follows the curve of y = -x(x - 3), we can begin by setting y equal to zero. Then, solve for x. Let's get started:y = -x(x - 3)0 = -x(x - 3). The ball will hit the ground at the points (0,0) and (3,0).

We can solve this equation by using the zero-product property. That means setting each factor equal to zero and solving for x:-x = 0orx - 3 = 0x = 0or x = 3So, the ball will hit the ground at the points where x = 0 and x = 3. To determine the corresponding y-coordinates of these points, we can substitute each value of x into the equation for y:y = -x(x - 3)For x = 0:y = -0(0 - 3) = 0For x = 3:y = -3(3 - 3) = 0

Therefore, the ball will hit the ground at the points (0,0) and (3,0).

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By setting y in the equation y = -x(x-3) to 0 and solving for x, we find that Chase's basketball hits the ground at x = 0 and x = 3.

In this problem, we have the equation of the basketball's trajectory as y = -x(x-3). The curve is derived from a quadratic equation, and since the basketball hits the ground when y equals to zero, we simply set y to 0 and solve for x. So we will have the following: 0 = -x(x-3). To solve this equation, we can set each factor equal to zero: -x = 0 and x - 3 = 0. Solving these equations give us x = 0 and x = 3, respectively. These are the two points where the ball hits the ground. Thus,Chase's basketball will hit the ground at the starting point of x = 0, where Chase threw the ball, and at x = 3, the point where the basketball lands.

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Yes, The given table is an example of a linear function.

Since, The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

To check the following data an example of a linear function.

Now, We can check the slope of given tables as;

⇒ Slope = (3 - (- 2)) / (0 - (- 7))

             = (5 / 7)

⇒ Slope = (8 - 3) / (7 - 0)

             = (5 / 7)

Thus, This table represent the an example of a linear function.

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Answer:

1

Step-by-step explanation:

Answer:

125\(y^{9}\)

Step-by-step explanation:

Given

x = 5y³ then

x³ = (5y³)³

   = 5 × 5 × 5 × y³ × y³ × y³

   = 125\(y^{9}\)