People were asked if they were considering changing what they eat.29% of the people asked said yes.of these, 23% said they were considering becoming vegetarian.what percentage of the people asked said they were considering becoming vegetarian?

Answer:

$12

Step-by-step explanation:

20% of $10 is $2

Add

$2 + $10 = $12

The general solution to the differential equation dy/dt = -3y is y(t) = \(Ce^{(-3t).\)

To find the general solution to the differential equation dy/dt = -3y:

Follow these steps:
1. Recognize that this is a first-order linear differential equation in the form dy/dt + 3y = 0.
2. Solve the equation using the integrating factor method.
1. Identify the integrating factor: e^(∫3 dt) = \(e^(3t).\)
2. Multiply both sides of the equation by the integrating factor: e^(3t) dy/dt + 3e^(3t)y = 0.
3. Notice that the left side of the equation is the derivative of the product y(t) * \(e^(3t).\)
4. Integrate both sides of the equation: ∫(dy/dt * \(e^(3t) + 3e^(3t)y\)) dt = ∫0 dt.
5. You get y(t) *\(e^(3t) = C\), where C is the constant of integration.
6. Solve for y(t) by dividing both sides by \(e^(3t): y(t) = Ce^(-3t).\)

So, the general solution to the differential equation \(dy/dt = -3y is y(t) = Ce^(-3t).\)

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Answer:

13.8

Step-by-step explanation:

15/0.92=13.8

Answer:

-1/4

Step-by-step explanation:

Answer:

c. 1/4

Step-by-step explanation:

The points (2, 0) and (6, 1) are on grid line intersections and easy to read.

To go from (2, 0) to (6, 1) vertically and then horizontally, go up 1 units. That is a rise of 1. Then go right 4 units. That is a run of 4 units.

slope = rise/run = 1/4

Answer: c. 1/4

Answer:

$1545.65.

Step-by-step explanation:

We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.

To solve our given problem we will use compound interest formula.

\(A=P(1+\frac{r}{n})^{nt}\), where,

A = Final amount after t years,

P = Principal amount,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given interest rate in decimal form. \(13.66=\frac{13.66}{100}=0.1366\)

Upon substituting our given values in compound interest formula we will get,

\(A=1,349.34(1+\frac{0.1366}{12})^{12*1\)

\(A=1,349.34(1+0.011383333)^{12\)

\(A=1.349.34(1.011383333)\)

\(A=1,349.34*1.145485275522\)

\(A=1,545.64910167397\) ≈ $\(1545.65\)

Therefore, Victor will owe an amount of $1545.65 after one year.

a) Build the probability distribution of X =  0.125.  b) Find the mean value of X= 1.875.  c) Find the standard deviation of X = 1.0533

a)

For a fair coin,

P(H) = P(T) = 0.5

Outcome X Probability

T 1 0.5

HT 2 0.5*0.5 = 0.25

HHT 3 0.5*0.5*0.5 = 0.125

HHHT 4 0.5*0.5*0.5*0.5 = 0.0625

HHHH 4 0.5*0.5*0.5*0.5 = 0.0625

So, the probability distribution of X is

X P(X)

1 0.5

2 0.25

3 0.125

4 0.0625+0.0625 = 0.125

b)

X P(X) X*P(X) X2*P(X)

1 0.5 0.5 0.5

2 0.25 0.5 1

3 0.125 0.375 1.125

4 0.125 0.5 2

\(\sum\) 1 E(X) = 1.875 E(\(x^{2}\)) = 4.625

Mean = \(\sum\)X* P(X) = 1.875

c)

Variance = E(\(x^{2}\)) - E\((x^{2} )\)= 4.625 – \(1.875^{2}\)  = 1.1094

Standard Deviation = \(\sqrt{variance} = \sqrt{1.1094} = 1.0533\)

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A rectangular pyramid is a composite shape which when divided into cross sections can be made up of a rectangle and a trapezoid.

Hence, option D is the correct answer

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

Answer: b/a = -8

Step-by-step explanation:

When we have a quadratic equation:

y = a*x^2 + b*x + c.

The vertex of this function (and the axis of symetry) is located at:

x = -b/2a

Now, we know that the axis of symmetry is at x = 4.

then we have:

4 = -b/2a

And we want to find b/a.

Then we start with:

-b/2a = 4.

first we multiply by 2 in each side:

2*(-b/2a) = -b/a = 2*4 = 8.

now we multiply by -1 in each side:

-1*(-b/a) = b/a = -1*8.

Then we have: b/a = -8

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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The total number of ways by words are formed is 35 ways.

According to the statement

We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.

And we have to find the possible ways.

So, The given words are:

TEXAS and MEXICO

Here X = 2 and E = 2 and all other words are one time used words.

We can find possible ways by use of combination and permutation.

So,

Total number of ways = \(3C_{1} ^{5} + 2C_{2} ^{5}\)

here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.

So,

Total number of ways = \(3C_{1} ^{5} + 2C_{2} ^{5}\)

Total number of ways = \(3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )\)

Total number of ways = \(3(5) + 2(10)\)

Total number of ways = 15 + 20

Total number of ways = 35.

So, The total number of ways by letters are formed is 35 ways.

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Answer

x = 12, y = 5

x = -13, y = -20

Step by step explanation:

You have two equations, and you have to find a way to merge them.

x - y = 7 —— {1}

From {1}, y = x - 7 —— {2}

x² + y = 149 —— {3}

Rep {2} in {3}

x² + y = 149

x² + (x-7) = 149

x² + x - 156 = 0

(x-12) (x+13) = 0

x = 12 and x = - 13

When x = 12, y = 12 - 7 = 5

(12, 5)

When x = - 13, y = - 13 - 7 = - 20

(-13, - 20)

Answer:

BCF is the correct answer

Answer:

b, c, and f

Step-by-step explanation:

because on the negative scale -5 is closer to 0 than -7, -4 is closer to 0 than -6, and -4 is closer to 0 than -5. So in this case b, c, and f are true because it is greater than. Sorry if I explained it badly, but im pretty sure its b, c, and f.

Answer:

aslo bien jjjjjjj

Step-by-step explanation:

From the arc length given radius yielded is 22.91 cm.

What is the arc length?

The primary angle:

40°

Arc size

20 cm

Recall the arc length formula.

\(l=(\frac{Theta}{360} )*(2\pi r)\)

Inserting the values:

20 =\(\frac{40}{360} *(2\pi r)\)

\(r=\frac{36(20)}{10\pi }\)

=72/π

=22.918cm the radius is.

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Answer:

3

Step-by-step explanation:

Answer:Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

Step-by-step explanation:

Answer:

kate can buy 20 tickets

Step-by-step explanation:

hope this helps

i am not sure about the answer

Answer:

7b+5

Step-by-step explanation:

7 dollars for each bag of food (b) adding onto that the cost of a collar which is 5 dollars

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer:

D. Survey every 10th customer to enter the store

plz mark as brainliest

Answer:

D. Survey every 10th customer to enter the store

Step-by-step explanation:

have a good day!

The coordinates for point B are 7 = √(x - 5)² + (y - 4)².

What is the distance formula?

The distance formula is used to calculate the length of the line which joins the two points in an x−y plane. The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line.

Here, we have

Given: Segment AB Has point A located At (5, 4). If The Distance from A To B Is 7 units.

To find the distance between any two the following formula is used.

D = √(x₂ - x₁)² + (y₂ - y₁)²

7 = √(x - 5)² + (y - 4)²

Hence, the coordinates for point B are 7 = √(x - 5)² + (y - 4)².

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Answer:

The answer is 3x-y-2=0

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = \(\frac{4-1}{2-1}\) = 3

The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = 3x - 2 ← in slope- intercept form

subtract y from both sides

0 = 3x - y - 2 , that is

3x - y - 2 = 0 ← in general form

The equation involves trigonometric functions, it will require numerical methods or software to obtain the exact value of θ.

To determine the angle above the horizontal at which the ball must be thrown to hit the basket, we can analyze the projectile motion of the ball.

Given:

Initial speed (v₀) = 7.50 m/s

Initial height (h) = 2.44 m

Horizontal distance to the basket (x) = 4.57 m

Vertical distance to the basket (y) = 3.05 m

We can break down the motion into horizontal and vertical components. The time it takes for the ball to reach the basket is the same for both components.

1. Horizontal Component:

The horizontal component of motion is unaffected by gravity. We can use the formula:

x = v₀ * t * cosθ

where θ is the angle above the horizontal.

2. Vertical Component:

The vertical component of motion is affected by gravity. We can use the formula:

y = h + v₀ * t * sinθ - (1/2) * g * t²

where g is the acceleration due to gravity (approximately 9.8 m/s²).

We can solve these equations simultaneously to find the angle θ. Rearranging the equations:

x = v₀ * t * cosθ

t = x / (v₀ * cosθ)

y = h + v₀ * t * sinθ - (1/2) * g * t²

Substituting the expression for t:

y = h + (v₀ * x * sinθ) / (v₀ * cosθ) - (1/2) * g * (x² / (v₀² * cos²θ))

Simplifying:

y = h + (x * tanθ) - (1/2) * g * (x² / (v₀² * cos²θ))

Rearranging and substituting the given values:

0 = 3.05 - 4.57 * tanθ - (1/2) * 9.8 * (4.57² / (7.50² * cos²θ))

Solving this equation for θ will give us the angle above the horizontal at which the ball should be thrown to hit the basket. Since the equation involves trigonometric functions, it will require numerical methods or software to obtain the exact value of θ.

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Answer:

The answer is x<-9

Step-by-step explanation:

x+5<-4

You move it to the right and you change the sign

This is what I mean: x<-4-5

Then you Calculate the Difference

So it will be: x<-9 which is your answer

Answer: 50.24 cm²

Step-by-step explanation:

ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM

The formula for the area of a circle is pi(3.14) * r(4)^2

\(3.14*4^2\)

\(3.14*16\)

\(50.24\)

Hope it helps <3 :D

Answer:

21.50 + 0.25r = 22.25

Step-by-step explanation:

Thats ur equationnn

Answer:

Andre

Step-by-step explanation:

If a meter is made up of 100 cm then divide 165 by 100. Compare 1.65 meters to 1.7 meters. 1.65 m < 1.7 m

Answer:

To add different quantities of liquids with different units of measurements, we need to convert them all to the same unit of measurement. In this case, let's convert everything to quarts since that is what we want the final answer to be in.

2 gallons = 8 quarts (since 1 gallon = 4 quarts)

5 quarts of pineapple juice = 5 quarts (no conversion needed)

4 pints of cranberry juice = 8 cups = 2 quarts (since 1 pint = 2 cups and 1 quart = 4 cups)

6 cups of apple juice = 1.5 quarts (since 1 cup = 0.25 quarts)

Now we can add up all the quantities:

2 + 5 + 2 + 1.5 = 10.5

Maya made 10.5 quarts of fruit punch in all