609+283+97 pls help help helpp

The distance between the points (3,-3) (3,5) is 8, according to the definition of distance

The distance between two points is equal to the length of the segment that joins them.

Given the coordinates of two different points (x₁, y₁) and (x₂,y₂), the expression that allows calculating the distance "d" between two different points is the squares of the differences between their coordinates and then find the root of the sum of said squares.

d= √[(x₂ - x₁)² + (y₂ - y₁)²]

In this case, you know:

Substituting in the definition of distance:

d= √[(3 -3)² + (5 - (-3))²]

Solving:

d= √[0² + (5 +3)²]

d= √[0² + 8²]

d= √8²

d= √64

d= 8

Finally, the distance is 8.

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The frequency tree will be 9 girls and 18 boys don't have a voucher.

Boys = 38

Girls = 22

Total = 60

Children who have a voucher = 33

Children who don't have a voucher = 60-33 = 27

Twice as many boys as girls do not have a voucher

Girls who don't have a voucher: x

Boys who don't have a voucher: 2x

Girls without voucher + boys without voucher: x + 2x = 27

3x = 27

x = 27/3

x = 9

Girls who don't have a voucher: x=9

Boys who don't have a voucher: 2x = 2(9) = 18

For frequency tree:

Total students: 60

Boys : 38

Boys who don't have a voucher : 18

Boys who have a voucher: 38 - 18 = 20

Girls: 22

Girls who don't have a voucher: 9

Girls who have a voucher: 22 - 9 = 13

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Answer:

suppose 1.45 is x  % of 116, so

116 *x/100=1.45

x=1.45*100/116

x=145/116

x=1.25 %

Step-by-step explanation:

The double integral ∫∫x(\(sec^2\))(y) dA over the region R = {(x, y) | 0 ≤ x ≤ 6, 0 ≤ y ≤ π/4} is equal to 3π/8.

To evaluate the given double integral ∫∫x(sec^2)(y) dA over the region R = {(x, y) | 0 ≤ x ≤ 6, 0 ≤ y ≤ π/4}, we follow the process of integrating with respect to one variable at a time.

First, we integrate with respect to x. Since the bounds of x are from 0 to 6, the integral becomes:

∫[0, π/4] ∫[0, 6] x(sec^2)(y) dx dy

Integrating x with respect to x, we get:

(1/2)x^2(sec^2)(y) |[0, 6]

Plugging in the limits of integration, we have:

(1/2)(6^2)(sec^2)(y) |[0, π/4]

Simplifying, we get:

(1/2)(36)(sec^2)(y) |[0, π/4]

= 18(sec^2)(y) |[0, π/4]

Next, we integrate the remaining expression with respect to y. The integral of sec^2(y) is tan(y), so we have:

18(tan(y)) |[0, π/4]

Evaluating the limits of integration, we get:

18(tan(π/4) - tan(0))

= 18(1 - 0)

= 18

Therefore, the double integral ∫∫x(sec^2)(y) dA over the given region R is equal to 18.

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If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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The exact solution of this equation involves solving a quadratic equation, which may not result in a simple integer value for x.

To find the point (x, y) on the function f(x) = 6 - 7x that is closest to the point (-10, -4), we need to minimize the distance between the two points.

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, we want to minimize the distance between the point (-10, -4) and any point on the function f(x) = 6 - 7x. So we can set up the distance equation:

d = sqrt((-10 - x)^2 + (-4 - (6 - 7x))^2)

To find the point (x, y) that minimizes the distance, we can find the value of x that minimizes the distance equation. Let's differentiate the distance equation with respect to x and set it equal to zero to find the critical point:

d' = 0

Differentiating and simplifying the equation, we get:

(-10 - x) + (-4 - (6 - 7x))(-7) = 0

Solving this equation will give us the value of x at the closest point. Plugging this x-value into the function f(x) = 6 - 7x will give us the corresponding y-value.

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There are 28,434 4-permutations of the positive integers not exceeding 100 that contain three consecutive integers in the correct order.

We want to find the number of 4-permutations containing three consecutive integers in the correct order.

Let's break this down step-by-step.

Identify the possible sets of consecutive integers:

Since we are looking for sets of three consecutive integers not exceeding 100, the highest possible set is (98, 99, 100). Therefore, we have a total of 98 sets (from 1-2-3 to 98-99-100).
Determine the number of ways to arrange each set within a 4-permutation:

Each set of consecutive integers can appear at the beginning, in the middle, or at the end of the permutation. So, there are 3 different positions for each set.

Calculate the remaining integer's options:

For each of the 3 positions, we have 97 options for the remaining integer since it must be different from the three consecutive integers in the set.

Multiply the number of sets, positions, and remaining integer options: 98 sets * 3 positions * 97 remaining integer options = 28,434 possible 4-permutations.

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Answer:

P=0.5

Step-by-step explanation:

Attached photo

...

The limit of the volume of the circumscribed cylinder as n approaches infinity is \(\(\frac{{\pi r^2h}}{2}\)\), where r is the radius of the base and h is the height.

When considering a regular n-sided polygon inscribed in a circle, the circumscribed cylinder is formed by extending the height of each triangular face of the polygon until it meets the opposite face. As the number of sides of the polygon increases, the polygon approaches a circle, and the cylinder becomes closer to a true circumscribed cylinder.

To find the limit of the volume as n approaches infinity, we can use calculus. Let r be the radius of the base and h be the height of the cylinder. The base of the cylinder is a regular n-sided polygon inscribed in a circle, with each side length equal to \(\(2r\sin\left(\frac{\pi}{n}\right)\)\). The height of each triangular face is \(\(2r\cos\left(\frac{\pi}{n}\right)\)\). The volume of each triangular face is then

\(\(\frac{1}{2} \times 2r\sin\left(\frac{\pi}{n}\right) \times 2r\cos\left(\frac{\pi}{n}\right) \times 2r\cos\left(\frac{\pi}{n}\right) = 2r^2\sin\left(\frac{\pi}{n}\right)\cos^2\left(\frac{\pi}{n}\right)\)\). Integrating this expression over the interval \(\([0, \pi]\)\) and taking the limit as n approaches infinity, we obtain the desired result: \(\(\frac{{\pi r^2h}}{2}\)\).

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Therefore, the expression \(t^{(-3/4)}\) in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

What is the exponential function?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.

To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.

Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case,  \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).

Therefore, the expression \(t^{(-3/4)}\)in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

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Answer:

Step-by-step explanation:

<3 = 55° ( vertically opposite angles )

<4 = 180 - 105 = 75° ( linear pair )

<5 = 180 - ( 55 + 75 ) ( angle sum property of a triangle )

    = 180 - 130

    = 50°

<1 = <2 ( angles opposite to equal sides )

let < 1 and < 2 be x

55 + 2x = 180 ( angle sum property of a triangle )

2x = 180 - 55

2x = 125

x = 125 / 2

x = 62.5

therefore, < 1 = <2 = 62.5°

Hope this helps

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Answer:

  C.  7 hours

Step-by-step explanation:

Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...

  distance = speed × time

  300t = 350(t -1)

  300t = 350t -350 . . . . eliminate parentheses

  350 = 50t . . . . . . . . . . add 350-300t

  7 = t . . . . . . divide by 50

The trip out took 7 hours.

Answer:

She needs 6 ounces of peanut butter chips.

hope this helped :-)

Step-by-step explanation:

10:5=2

1/5 = 2

1/5+1/5+1/5=

2+2+2=

2*3=6

Answer:

(6,19)

Step-by-step explanation:

Hope this will help:)

To determine the probability of playing a song from each of the other genres based on the given table, we need to calculate the sum of the probabilities for all genres except the given genre. The probability of playing a song from each genre can be expressed as a fraction.

In the given table, the probabilities for each genre are listed. To find the probability of playing a song from each of the other genres, we sum the probabilities of all the remaining genres. For example, if we are given the probability of playing a song from Genre A, we add the probabilities of Genre B, Genre C, and so on, to calculate the total probability of playing a song from the other genres. The resulting value can be expressed as a fraction.

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To find the standard deviation of a sampling distribution, you need to calculate the mean, deviations, squared deviations, and sum of squared deviations, and then divide by n-1 before taking the square root.

To find the standard deviation of a sampling distribution, you can follow these steps:

1. Collect a sample of data from the population of interest.
2. Calculate the mean of the sample.
3. Calculate the deviation of each individual data point from the mean.
4. Square each deviation.
5. Sum up all the squared deviations.
6. Divide the sum of squared deviations by the sample size minus one (n-1).
7. Take the square root of the result obtained in step 6.

The standard deviation of the sampling distribution represents the average amount by which the sample means differ from the population mean. It measures the variability or dispersion of the sample means around the population mean.

Let's consider an example: Suppose you want to find the standard deviation of the sampling distribution of the sample means for the weights of apples. You collect a sample of 10 apples and find their weights. You calculate the mean weight of the sample, then calculate the deviation of each apple's weight from the mean, square each deviation, sum up the squared deviations, divide by 10-1, and finally, take the square root. This will give you the standard deviation of the sampling distribution.

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(a) When two dice are rolled, the possible outcomes can be listed by considering all the possible combinations of the numbers rolled on each die. The outcomes can be represented as pairs of numbers, where each number represents the result on one of the dice. The possible outcomes are:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6).

(b) The probability that the sum of two dice is equal to 2 is 0, as there is no combination of numbers that can yield a sum of 2. In the given outcomes, there is no (1, 1) combination.

(c) To find the probability that the sum of two dice is equal to 5, we need to identify the number of outcomes that result in a sum of 5 and divide it by the total number of possible outcomes. In this case, the possible outcomes that sum to 5 are: (1, 4), (2, 3), (3, 2), and (4, 1). Therefore, there are four favorable outcomes out of 36 total outcomes (6 possibilities for each die), resulting in a probability of 4/36, which can be simplified to 1/9.

(d) The probability that the sum of two dice is more than 1 can be determined by considering all the outcomes except for the outcome (1, 1), which is the only case where the sum is equal to 1. Since there are 36 possible outcomes and only one outcome that sums to 1, the probability of obtaining a sum greater than 1 is 35/36.

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Based on the information, we can infer that the mass of the suitcase after removing the book is 3,880 grams or 3.8 kilograms.

To find the mass of the suitcase after removing the 120-gram book we must perform the following mathematical procedure:

We must find how much the 4 kilograms are equivalent in grams:

Now we must subtract the weight of the book from the total mass of the suitcase:

So the weight of the suitcase after removing the book would be 3,880 grams.

Note: This question is incomplete. Here is the complete information:

What is the mass of blackpack after removing a book of 120 grams?

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The standard form for the given expression is 3x³ - 3x² - 2x - 5.

A polynomial can be written in standard form by writing its terms in descending order of their powers and the constant terms comes at the end.

The given polynomial is (x - 1)(3x² + 7x + 5).

It can be written in standard form as follows,

(x - 1)(3x² + 7x + 5)

= x(3x² + 7x + 5) - 1(3x² + 7x + 5)

= 3x³ + 7x² + 5x - 3x² - 7x - 5

= 3x³ - 3x² - 2x - 5

Hence, the given expression can be written in standard form as,

3x³ - 3x² - 2x - 5

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Answer:

b pizza hut

Step-by-step explanation:

sorry im wrong

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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The system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of strawberries sold will be x + y = 35 and 2x + 3y = 80.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a total of 35 pounds of apples and strawberries.

Suppose the number of pounds of apples and strawberries is x and y respectively.

If the total of 35 pounds of apples and strawberries as a result,

x + y = 35-------(1)

If each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 then,

2x + 3y = 80---------(2)

Multiply equation 1 by 2 and subtract from equation 2 as

2x + 3y -2(x+y) = 80 - 2(35)

y = 10

Substitute the value of y we get x = 25

As a result, there are 25 pounds of apples and 10 pounds of strawberries in all.

Thus, the system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of strawberries sold will be x + y = 35 and 2x + 3y = 80.

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Answer:

no, janet could not have won 10 games because 3x is not equal to 24

Step-by-step explanation:

if janet won twice as many as nadia that means nadia times 2

so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d

hope this helps

Answer: No; Janet could not have won 10 games because 3x ≠ 24

Step-by-step explanation:

Janet and Nadia won 30 games together. 10x2(10)=30

! !

—

The answer is  option (A)  BC=YZ ,to show that AABC = AXYZ by ASA, we need to know that angle C is congruent to angle ∠Y, angle ∠Z is congruent to angle ∠B, and BC is congruent to ZY.

An angle is a geometric figure formed by two rays with a common endpoint, called the vertex of the angle. The two rays are called the sides of the angle, and they can be named in any order. The measure of an angle is the amount of rotation needed to bring one of the rays into alignment with the other.

To show that AABC = AXYZ by ASA, we need to show that two angles and the included side of one triangle are congruent to two angles and the included side of the other triangle. Since we are given that ZZZC and CB ZY, we know that angle ∠C is congruent to angle ∠Y, and angle ∠Z is congruent to angle ∠B. Therefore, we need to find another piece of information that shows that the included sides are congruent.

Looking at the diagram, we can see that side BC is congruent to side ZY, since they are opposite sides of a rectangle. Therefore, we have BC = ZY, which means that statement A, BC=YZ, is true.

So, to show that AABC = AXYZ by ASA, we need to know that angle ∠C is congruent to angle ∠Y, angle ∠Z is congruent to angle ∠B, and BC is congruent to ZY. Since we have all three of these conditions, we can conclude that AABC = AXYZ by ASA.

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The value of the length of x is 13.

We have,

The given triangle is a right triangle.

So,

Applying the Pythagorean theorem,

x² = 5² + 12²

x² = 25 + 144

x² = 169

x = √169

x = 13

Thus,

The value of the length of x is 13.

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The value of k for which the quadratic equation 4s² - 4s + (k - 2) has one real solution is:

k = 16.

A quadratic equation is modeled by the rule presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:

In this problem, the equation is given as follows:

4x² - 4s + (k - 2) = 0.

Hence the coefficients are given as follows:

a = 4, b = -4, c = k - 2.

Hence the discriminant is:

Δ = (-4)² - 4(4)(k - 2)

Δ = 16 - 16k + 32

Δ = 48 - 3k

It has one real solution if Δ = 0, hence:

48 - 3k = 0

3k = 48

k = 48/3

k = 16.

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Answer:

the answer is 7x^2-12x square root of 14 +72 (option 2)

Step-by-step explanation:

We are asked to solve for "x" in the equation:

r x + q x - d = g c

so we need to isolate "x" on one side of the equal sign.

We proceed to group all the terms that do NOT contain "x" on the right hand side, by "adding " d to both sides:

r x + q x = g c + d

now we extract "x" as a common factor for the two terms on the left, using the inverse of the distributive property:

x (r + q) = g c + d

Now, to isolate x on the left, we divide both sides by the quantity in parenthesis "( r+ q )":

x = (g c + d) /(r + q)

If you are given options to choose look for the following:

If the total ticket sales was $ 2630, the theater sold 178 children's tickets, 99 student tickets, and 89 adult tickets.

Let's represent the number of children as "C", the number of students as "S", and the number of adults as "A".

We know that:

A = 0.5C (there are half as many adults as students)

C + S + A = 363 (the total number of people attending)

5C + 7S + 12A = 2630 (the total ticket sales)

We can use the first equation to substitute for A in the second and third equations:

C + S + 0.5C = 363

1.5C + S = 363

5C + 7S + 12(0.5C) = 2630

5C + 7S + 6C = 2630

11C + 7S = 2630

Now we have two equations with two variables (1.5C + S = 363 and 11C + 7S = 2630). We can solve for one variable in terms of the other in the first equation for tickets:

S = 363 - 1.5C

Substitute this expression for S in the second equation:

11C + 7(363 - 1.5C) = 2630

Simplify and solve for C:

11C + 2541 - 10.5C = 2630

0.5C = 89

C = 178

Now we can substitute this value for C in the expression we found for S:

S = 363 - 1.5(178)

S = 99

And we can use the first equation we found to solve for A:

A = 0.5C

A = 0.5(178)

A = 89

Thus, the theater sold 178 children's tickets, 99 student tickets, and 89 adult tickets.

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~graph

Graph the line using the slope and y-intercept, or two points.

Slope : 3

y intercept = (0 , 3)

graph already attached ✔️

~ nice to help you ^^

Answer:

Step-by-step explanation: