Read this excerpt from "A Visit from the Goon Squad."

Whatever the reason, a swell of approval palpable as rain lifted from the center of the crowd and rolled out toward its edges, where it crashed against buildings and water wall and rolled back at Scotty with redoubled force, lifting him off his stool, onto his feet (the roadies quickly adjusting the microphones), exploding the quavering husk Scotty had appeared to be just moments before and unleashing something strong, charismatic, and fierce. Anyone who was there that day will tell you the concert really started when Scotty stood up.

How does the author portray Scotty in this excerpt?
His confidence is transformed by the crowd’s response.
His musical ability is improving as he performs.
His anger is unleashed by the chaos of the crowd.
His excitement is shown by his moves on stage.

Answer:

$13

Step-by-step explanation:

Please tell me if i'm wrong.

Answer:

log(5)= 0.699

Answer:

Step-by-step explanation:

0.7925

Answer:

x = 17.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 25 = x /41

41 sin 25 = x

17.32734=x

Rounding to the tenths place

x = 17.3

We have to find,

The required value of x.

Now we can,

Use the trigonometric functions.

→ Sin(θ) = opp/hyp

Let's find the required value of x,

→ Sin (θ) = opp/hyp

→ Sin (25) = x/41

→ x = 41 × Sin (25)

→ x = 41 × 0.42262

→ x = 17.32734

→ [x = 17.3]

Hence, option (c) is the solution.

Over the 30 year period, the values of Minneapolis and St. Paul's values will be: Mean 1.580666667 1.769333333 and Standard Deviation 0.890741799 1.123161779

Using the R software or any other graphing software and typing in the, we get the graphs.

The commands were

qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37)) and qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))

We see there's a slight difference between the two graphs.

For Minneapolis, the curve goes upwards to 0.4

and the for St. Paul the curve goes downwards to 0.4

The term "mean" refers to the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of means that can be computed. By adding all of the numbers in a set and dividing by the total number of numbers in the set, the arithmetic mean is determined. The standard deviation is a measurement of how widely distributed or how much a group of data differ. A low standard deviation indicates that the values typically tend to be close to the set mean, while a high standard deviation suggests that the values are dispersed over a wider range.

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The equation to the word problem is x - 3 = 24 and the solution is x = 27

Word problems are maths question written as one sentence or more that requires children to apply their maths knowledge to a 'real-life' scenario

Since we have the word problem

twenty-five is three less than x

First, we express the part three less than x as x - 3.

Now, since three less than x equals twenty-five, we have that

x - 3 = 25

So, we solve the equation for x.

x - 3 = 24

Adding 3 to both sides of the equation, we have that

x - 3 + 3 = 24 + 3

x + 0 = 27

x = 27

So, the equation is x - 3 = 24 and the solution is x = 27

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Answer:

\(x^2-10x+18=0\)

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

\(20=2(x + w)\)

Let's put w in terms of x. Divide both sides by two:

\(10=x+w\)

And solve for w:

\(w=10-x\)

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

\(a^2+b^2=c^2\)

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

\(x^2+w^2=8^2\)

Simplify and substitute:

\(x^2+(10-x)^2=64\)

Square:

\(x^2+(100-20x+x^2)=64\)

Isolate the equation. So:

\(2x^2-20x+36=0\)

Since the leading coefficient is one, divide both sides by two:

\(x^2-10x+18=0\)

Therefore, a = -10 and b = 18.

The size of the settlement, taking into account the present value of back pay, future salary, pain and suffering, and court costs, is $379,348.91.

To calculate the size of the settlement, we need to determine the present value of the various components.

(a) The present value of two years' back pay:

The annual salaries for the last two years are $43,000 and $46,000, respectively. Assuming monthly payments, we calculate the present value using the formula:

PV = (S / (1 + r/12))^n

where S is the annual salary, r is the interest rate, and n is the number of periods. Plugging in the values, we get:

PV1 = ($43,000 / (1 + 0.065/12))^(2*12) = $84,486.19

PV2 = ($46,000 / (1 + 0.065/12))^(12) = $44,621.56

(b) The present value of five years' future salary:

The annual salary is $51,000, and we calculate the present value for five years using the same formula:

PV = ($51,000 / (1 + 0.065/12))^(5*12) = $172,153.44

(c) $150,000 for pain and suffering

(d) $20,000 for court costs

Finally, we sum up all the present values to get the total settlement amount:

Total settlement = PV1 + PV2 + PV3 + PV4 = $379,348.91

Therefore, the size of the settlement is $379,348.91.

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The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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Step-by-step explanation:

116/4+28-33

29+28-33

57-33

24

Answer:

<AXC = 101 degrees.

Step-by-step explanation:

The question says that XB is a bisector which means that <AXB = 1/2 of AXC

You can't do the question if that assumption isn't true.

<AXC  = 8x - 7

<AXB = 3x + 10

3x + 10 = 1/2 ( 8x - 7)     Multiply both sides by 2

2(3x + 10) = 8x - 7         Remove the brackets

6x + 20 = 8x - 7             Add 7 to both sides

6x + 20 + 7 = 8x            Combine

6x + 27 = 8x                  Subtract 6x from both sides

27 = 8x - 6x                  Combine

27 = 2x                          Switch

2x = 27                          Divide by 2

x = 27/2

x = 13.5

AXC = 8x - 7

AXC = 8*13.5 - 7

AXC = 108 -7

AXC = 101

Answer:

X=32

Step-by-step explanation:

First Find common denominator

Combine fractions with common denominator

Multiply the numbers

Multiply all terms by the same value to eliminate

And I think you got it from there :))))))))))))))

Answer:

x = 32

Step-by-step explanation:

Find a common denominator

x/4 + 4 ( -20 )/4 = -12

Combine fractions with denominator

Multiply the numbers

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Multiply the numbers

Add 80 to both sides of the equation

Then simplify!

Answer:

C

Step-by-step explanation:

The surface area (SA) of a sphere is calculated as

SA = 4πr² ( r is the radius )

Here diameter = 4 , then r = 0.5 × 4 = 2 , then

SA = 4π × 2² = 4π × 4 = 16π ft² → C

Answer:

16π  m²

Step-by-step explanation:

Screenshot down below that i got it correct on founders education

Answer: I need help on this one 2

Step-by-step explanation:

Answer:G

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

use a protractor to mmeasure it

We use root mean square (RMS) speed to calculate the average speed of particles in a gas because it takes into account the speed of all particles in a distribution, regardless of direction.

It is particularly useful in studying gases because gas particles move in random directions with varying speeds. The RMS speed is the square root of the average of the squared speeds of all the particles in a gas.

The RMS speed is important because it is related to other properties of gases, such as temperature and pressure. For example, as the temperature of a gas increases, the RMS speed of its particles also increases.

This relationship is described by the Maxwell-Boltzmann distribution, which relates the speeds of gas particles to the temperature of the gas.

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We need a minimum sample size of 336 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level.

A) When there is no preliminary estimate available, we can use the worst-case scenario, which is p = 0.5 (since this gives the maximum possible variability). The margin of error is given as 3% or 0.03. The formula to calculate the minimum sample size needed is:

n = [Z² x p x (1 - p)] / E²

where Z is the z-value for the desired confidence level, p is the population proportion, and E is the margin of error.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.5 x (1 - 0.5)] / (0.03)²

n ≈ 1217.75

We need a minimum sample size of 1218 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level and an accuracy of 3%.

B) If a proper study found that 11% of U.S. adults eat fast food four to six times per week, we can use this as a preliminary estimate and calculate the minimum sample size needed with the formula:

n = [Z² x p x (1 - p)] / E²

where p is the preliminary estimate of the population proportion (0.11), and the other variables are the same as before.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.11 x (1 - 0.11)] / (0.03)²

n ≈ 335.77

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Answer:

the answer it's not correct because you have to put the 6x

Step-by-step explanation:

if you do not put an x after you put the number it would you would get it wrong

Answer:

x < -6

Step-by-step explanation:

x -3x > 12

Combine like terms

-2x>12

Divide by -2, remembering to flip the inequality

-2x/-2 < 12/-2

x < -6

Answer:

x < -6

Step-by-step explanation:

Answer: b 1:4

Step-by-step explanation:

Answer:

The given expression 15:60 can be simplified by dividing both the numerator and denominator by their greatest common factor (GCF), which is 15 in this case. So, 15 divided by 15 is 1 and 60 divided by 15 is 4. Therefore, the simplified form of 15:60 is 1:4. 

So, the answer is (b) 1:4.

The coefficients for the expression are:

C₂ = C₀/2

C₃ = C₀/6

C₄ = C₀/24

C₅ = C₀/120

C₆ = C₀/720

To solve the given differential equation y' = xy using the power series substitution y = ∑ Cₙxⁿ, we will first find the derivative of y, then substitute both y and y' into the given equation, and finally determine the coefficients.

Step 1: Find the derivative of y.

y = ∑ Cₙxⁿ

y' = ∑ nCₙxⁿ⁻¹

Step 2: Substitute y and y' into the given equation.

∑ nCₙxⁿ⁻¹ = x ∑ Cₙxⁿ

Step 3: Match the coefficients on both sides of the equation.

For n = 1, C₁ = C₀.

For n = 2, 2C₂ = C₁ => C₂ = C₀/2.

For n = 3, 3C₃ = C₂ => C₃ = C₀/6.

For n = 4, 4C₄ = C₃ => C₄ = C₀/24.

For n = 5, 5C₅ = C₄ => C₅ = C₀/120.

For n = 6, 6C₆ = C₅ => C₆ = C₀/720.

So, the coefficients are:

C₂ = C₀/2

C₃ = C₀/6

C₄ = C₀/24

C₅ = C₀/120

C₆ = C₀/720

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Answer:

24 pints of blue paint. I don't know of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16

Step-by-step explanation:

Answer:

10%

Explanation:

You get a savings of $4.15

Answer:

76.2

Step-by-step explanation:

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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The following triangle is b) right.

To determine whether the triangle is acute, right, or obtuse, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). If this is not true, then the triangle is either acute or obtuse.

In this case, we have:

a = 7 ft

b = 11 ft

c = √170 ft

We can first check whether this is a valid triangle by verifying that the sum of the lengths of any two sides is greater than the length of the third side. In this case, we have:

a + b > c

7 + 11 > √170

18 > √170

This inequality is true, so we know that the given side lengths can form a triangle.

Next, we can use the Pythagorean theorem to check whether the triangle is right. If we square each of the two shorter sides and add the results, we get:

\(a^{2}\) + \(b^{2}\) = \(7^{2}\) + \(11^{2}\) = 170

Then, we can compare this to the square of the longest side, which is:

\(c^{2}\) = \((\sqrt{170} )^{2}\) = 170

Since \(a^{2}\) + \(b^{2}\) = \(c^{2}\), we have a right triangle.

Therefore, the answer is (b) right.

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Answer:

the exprrssions are equivalent to 4( x-1)

Answer:

It's a rotation 180 degrees

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

f(1)    -  2 = a(1) + b

        - 2 = a + b             (1)

f(5)     10 = a (5) + b

          10 = 5a + b            (2)

Multiply first underlined equation by -5  to get

      10 = -5a  - 5b       add this to the second equation (this will eliminate 'a')

      20 = - 4 b       so   b = -5

then the first equation becomes   - 2 = a +  (-5)

             which shows a = 3

so your function is just    f(x) = 3x  -5

what is 2 times 5 minus 1?

9