Kurts city took a survey about a plan for a new park. the city surveyed 3000 people. 53% of the people surveyed like the plan for the park. how many people like the plan?

Answer:

Step-by-step explanation:

Following order of operations rules srequires that we do any work inside parentheses first.  Thus, (35 - 4) = (31), and (89 + 3) = (92).  Then:

2(35 – 4) – (89 + 3) = 2(31) - (92)  =  -60

Have you by any chance mixed "g" with "9?"  Double check this and submit this question again, please.

Answer:

The perimeter of parallelogram WXYZ is 2√5 + 2√17 units or also known as about 12.72 units.

Step-by-step explanation:

In the diagram, we have a parallelogram. A parallelogram is a shape with two pairs of congruent sides. So, this means that we only need to find the measurement of two sides. From there, we are going to multiply those individual measurements by 2 because both has another side that is congruent  to them. Lastly, we will add up all of the measurements to find the perimeter.

We can find the lengths by using the distance formula.

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}\)

Let's find the length of WX.

\(WX=\sqrt{(4-0)^2+(0-(-1))^2}\)

\(WX=\sqrt{((4)^2+(1)^2)}\)

\(WX=\sqrt{16+1}\)

\(WX=\sqrt{17}\)

Now, we multiply this number by 2 because ZY is congruent to this side.

√17 × 2 = 2√17

Now, let's find the length of WZ.

\(WZ=\sqrt{(0-(-1))^2+(-1-(-3))^2}\)

\(WZ=\sqrt{(1)^2+(2)^2}\)

\(WZ=\sqrt{1+4}\)

\(WZ=\sqrt{5}\)

Now, we multiply this number by 2 because XY is congruent to this side.

√5 × 2 = 2√5

Now, we add these numbers together to get the perimeter.

2√5 + 2√17 = 12.72

The required perimeter of parallelogram WXYZ is \(2\times \sqrt5 + 2\times \sqrt17 \ units\).

We have to determine, The perimeter of parallelogram WXYZ.

According to the question,

A parallelogram is a shape with two pairs of congruent sides. So, this means need to find the measurement of two sides.

From there, multiply those individual measurements by 2 because both has another side that is congruent  to them. Lastly, add up all of the measurements to find the perimeter.

To find the lengths by using the distance formula,

\(d = \sqrt{(x_2-x_1)^{2}+ (y_2-y_1)^{2}} \\\\WX = \sqrt{(4-0)^{2}+ (0-(-1))^{2}} \\\\WX = \sqrt{16+1} \\\\WX = \sqrt{17}\)

Then, multiply this number by 2 because ZY is congruent to this side.

\(\sqrt{17} \times 2= 2 \sqrt{17}\)

Now, let's find the length of WZ by using distance formula,

\(d = \sqrt{(x_2-x_1)^{2}+ (y_2-y_1)^{2}} \\\\WZ = \sqrt{((-1)-(-3))^{2}+ (0-(-1))^{2}} \\\\WX = \sqrt{4+1} \\\\WX = \sqrt{5}\)

Now, multiply this number by 2 because XY is congruent to this side.

\(=\sqrt{5} \times 2= 2\sqrt{5}\)

Therefore, adding these numbers together to get the perimeter of parallelogram WXYZ,

Perimeter of parallelogram WXYZ  \(=2\times \sqrt5 + 2\times \sqrt17 \ units\)

Hence, The required perimeter of parallelogram WXYZ is \(2\times \sqrt5 + 2\times \sqrt17 \ units\).

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Answer:

15.6 hrs

Step-by-step explanation:

Walker A:

1.25 miles in 2.25 hrs

6/1.25 = 4.8

4.8×2.25 = 10.8

6 miles in 10.8 hrs

Walker B:

2.5 miles in 2 hrs

6/2.5 = 2.4

2.4×2 = 4.8

6 miles in 4.8 hrs

10.8 + 4.8 = 15.6

Answer:

Step-by-step explanation:

the answer would be 5/4 i belive

The two important first steps in data analysis are data cleaning and exploring it, so, option A is correct.

A measure of the relationship between two variables is a correlation. Variables can be related in a number of ways, including linearly, non-linearly, and in other ways. Variables can also have varying degrees of association with one another. The most popular linear coefficient used to determine how closely two variables correlate is called Pearson's correlation coefficient, or PCC.

The steps of data analysis are shown below,

First, define the question. Identifying your purpose is the first stage in any data analysis procedure.

Gathering the data is the second step.

Third step: data cleaning.

The fourth step is data analysis.

Five: Present your findings.

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Answer:

B?

Step-by-step explanation:

Answer: Yes you did!

Step-by-step explanation:

Answer:

The answer u selected is correct

Step-by-step explanation:

Sorry for the delay

Given the following function:

f(x) = 3x - 3

Let's determine the value at f(-3),

This means that we will be replacing all x variables of f(x) by -3.

We get,

f(x) = 3x - 3

f(-3) = 3(-3) - 3

= -9 - 3

f(-3) = -12

Therefore, f(-3) = -12

Given the following function:

f(x) = 3x - 3

Let's determine the value at f(-3),

This means that we will be replacing all x variables of f(x) by -3.

We get,

f(x) = 3x - 3

f(-3) = 3(-3) - 3

= -9 - 3

f(-3) = -12

Therefore, f(-3) = -12

The resulting number (15) is then divided by the total number of cookies (30) and multiplied by 100, which gives the percentage of cookies that are left (50%).

Percentage = (Total Number of Items - Number of Items Used) / Total Number of Items x 100

Percentage = (30 - 15) / 30 x 100 = 50%

Therefore, 50% of the cookies are left. This can be calculated by taking the total number of cookies (30) and subtracting the number of cookies that have been eaten (15) from the total. The resulting number (15) is then divided by the total number of cookies (30) and multiplied by 100, which gives the percentage of cookies that are left (50%).

This calculation is useful for finding out the percentage of any item that is left after a certain amount has been used or consumed. This calculation can be applied to a variety of scenarios, such as finding out the percentage of fuel left in a tank after some has been used, or the percentage of money left in a bank account after some has been spent.

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A true/false test with 9 questions can be answered in 512 different ways.

The number of ways a true/false question can be answered is 2 (either true or false). By the theorem of counting, the number of ways to answer a series of independent events (such as a series of true/false questions) is equal to the product of the number of ways each event can occur.

In this case, the number of ways to answer 9 independent true/false questions is 2 raised to the power of 9, or 2⁹ = 512. This means that there are 512 possible combinations of answers for a 9-question true/false test.

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The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

$3003

Step-by-step explanation:

30/100×$3,575=3000/$3,575=0.84%

0.84%/100×$3,575

84/100×3,575=$300,300/100

$3003

it is important to carefully analyze survey data and look for patterns and similarities in order to determine which samples are the most representative of a larger population, in this case, the student body.

In order to determine which pair of samples is the most representative of student preference for a new school mascot, we need to analyze the data that was collected by the student representatives who surveyed their classmates.

Looking at the table provided, we can see that there were four different options for a school mascot: an eagle, a lion, a wolf, and a bear. The number of students who preferred each option is listed in the table, along with the total number of students who were surveyed.

To determine which pair of samples is the most representative, we should look for samples that are similar in size and show similar preferences for a particular mascot. For example, if Sample A had 100 students surveyed and 80 of them preferred the lion, while Sample B had 50 students surveyed and 40 of them preferred the lion, these two samples could be considered representative of student preference for the lion as a mascot.

Based on this analysis, it seems that Sample C and Sample D are the most representative of student preference. Both samples have a similar number of students surveyed, and both show a preference for the eagle as a mascot. While there is some variation in the numbers between the two samples, this could be due to chance or other factors and does not necessarily indicate that one sample is more or less representative than the other.

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Answer:

Below

Step-by-step explanation:

a^3 a^6   = a^(3+6) = a^9

then you have    ( a^9 b^2 ) ^3

   the '3' exponent outside the parens MULTIPLIES the exponents inside the parens to get   a^27 b^6

Answer:

the hypotenuse is 6 and the other leg is 3\(\sqrt{2\)

Step-by-step explanation:

Determine the number of laps Brianne run.

So Brianne run 6 laps around the lake.

Answer:

He would be making 544.8$ each week

Step-by-step explanation:

The percentage mark-up of the goods is 69 percent.

The mark-up percentage is calculated by subtracting the unit cost from the selling price, dividing by the unit cost and multiplying times 100.

Therefore, the buyer for a chain of stores purchased tables in bulk, paying $200 each. The stores will sell each table for $338.

Hence, the percentage mark-up can be calculated as follows:

percentage mark-up = 338 - 200 / 200 × 100

percentage mark-up = 138 × 100 / 200

percentage mark-up = 13800 / 200

percentage mark-up = 138 / 2

percentage mark-up = 69 %

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Answer:

D. 57

Step-by-step explanation:

228 divided by 4 is 57.

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

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:

b is greater than or equal to 5

Answer:

Using the quadratic formula:

x = [-4 +- sqr root (16 - 4 * 1 * -1)] / 2 *1

x = [-4 +- sqr root (20)] / 2

x1  = [-4 + sqr root (20)] / 2

x2 = [-4 - sqr root (20)] / 2

x1 = 0.23607

x2 = -4.2361

Step-by-step explanation:

Answer:

x = - 2 ± \(\sqrt{5}\)

Step-by-step explanation:

Given

g(x) = x² + 4x - 1

To solve for x let g(x) = 0, that is

x² + 4x - 1 = 0 ( add 1 to both sides )

x² + 4x = 1

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 1 + 4

(x + 2)² = 5 ( take the square root of both sides )

x + 2 = ± \(\sqrt{5}\) ( subtract 2 from both sides )

x = - 2 ± \(\sqrt{5}\)

Thus solutions in exact form are

x = - 2 - \(\sqrt{5}\) , x = - 2 + \(\sqrt{5}\)

Jacque can afford 24 slices of pizza with  the delivery fee plus the cost of the pizzas.

The  variable to represent the number of pizzas Jacque buys.

Let's call this variable "P".

The cost of each pizza is $14, so the total cost of P pizzas will be 14P.

In addition to the cost of the pizzas, there is a $7.50 delivery fee. Therefore, the total cost of the order will be 14P + 7.50.

Jacque needs to keep the total cost under $60, so we can set up an inequality:

14P + 7.50 ≤ 60

Simplifying this inequality, we get:

14P ≤ 52.50

Dividing both sides by 14, we get:

P ≤ 3.75

Since Jacque cannot buy a fraction of a pizza, she can only buy a whole number of pizzas.

Therefore, the largest integer P that satisfies the inequality is P = 3.

So Jacque can buy at most 3 pizzas and still keep the cost under $60.

To find the total number of slices she can afford, we can multiply the number of pizzas by the number of slices per pizza:

Total slices = 3 x 8 = 24

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Answer:

\(k=-\frac{2}{5}\)

Step-by-step explanation:

\(k=-\frac{8}{20}=-\frac{4(2)}{4(5)}=-\frac{2}{5}\)

Answer: y = -32 and -(2/5)

Step-by-step explanation:

Let z equal to the difference,

x - z = -4

20 - z = -4

20 + 4 = z

z = 24

y - z

= -8 - 24

= -32

Therefore y = -32

For the second part of the question

-8 = k(20)

-8 = k * 20

-8/20 = k <-- Divide both sides by 20

Therefore k = -(8/20) = -(2/5)

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires the function to be continuous on a closed interval and differentiable on an open interval, which is not satisfied by f(x) = tan x in the interval (0, π).

To show that f(0) = f(π), we evaluate the tangent function at these points. At x = 0, tan(0) = 0, and at x = π, tan(π) = 0. Therefore, f(0) = f(π).

To investigate whether there exists a number c in the interval (0, π) such that f'(c) = 0, we need to find the derivative of f(x). The derivative of tan x is given by f'(x) = sec² x. However, the secant squared function is never equal to zero. Therefore, there is no c in the interval (0, π) where f'(c) = 0.

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires certain conditions to be met. First, the function must be continuous on the closed interval [a, b], which is not satisfied by f(x) = tan x since it is not defined at x = π/2. Second, the function must be differentiable on the open interval (a, b), but f'(x) = sec^2 x is not defined at x = π/2. Thus, the requirements of Rolle's Theorem are not fulfilled, and its conclusion does not apply to f(x) = tan x in the interval (0, π).

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Answer:

Step-by-step explanation:

by inspection.. just looking at the graph

slope = - 1/2    (called m )

Y-intercept is at 1

line equation is then

y= mx + b

y= -1/2x +1  

:)

Given that, the total number of students in seventh and eighth grade combined is 584.

The number of students in seventh grade= 5/8 of the total number of students.

\(=\frac 5 8 \times 584=365\)

As 4/5 of the total seventh-grade students participated in the track-and-field-event.

So, the number of seventh-grade students participated

\(= \frac 4 5 \times 365=292\)

The number of students in the eighth grade 3/8 of the total number of students.

\(=\frac 3 8 \times 584=219\)

As 7/8 of the total eighth-grade students participated in the track-and-field-event.

So, the number of seventh-grade students participated

\(= \frac78 \times 219=191.625.\)

The number of students must be a counting number, but here, as per the given information, the number of seventh-grade students participated coming out a fractional number, so the given information is incorrect.

Although, as per the given data, the mathematical value of the total number of students participated from both the grade combined

=292+191.625

=483.625 (mathematically)

Again, in real life, the fractional value of the total number of students is not possible.

Answer:

Given that, the total number of students in seventh and eighth grade combined is 584.

Step-by-step explanation: