A print shop charges a fixed amount per photocopy and gives a 10% discount off the total cost of the photocopies. The total cost is a function of the number of photocopies made. What is the independent variable?

20 people need to be in a group in order for them to save $500.

If there are 15 people or more, people will save $25 on each ticket.

In order to save a total of $500, the number of people who are needed is:

= Amount to be saved / Amount to be saved per ticket

= 500 / 25

= 20 people

In conclusion, if a group of 20 people came, they would save $500.

Answer:

x^2+22x+121

Step-by-step explanation:

(x)^2+2*x*11+11^2

=x^22x+121

Explanation:

We'll use the tangent ratio to connect the opposite and adjacent sides with the reference angle

tan(angle) = opposite/adjacent

tan(A) = 14/7

Then use the arctangent function (aka inverse tangent) to fully isolate A

A = arctan(14/7)

A = 63.4349 degrees approximately; make sure your calculator is in degree mode

Round this to the nearest whole number to get 63.

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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\(\huge\text{Hey there!}\)

\(\large\text{If x = 3, y = 2, and z = 4 then substitute it in the given equation!}\)

\(\large\text{Equation: 3 (2) (4)}\\\large\text{3 (2) (4)}\\\large\text{3(2) = 6}\\\large\text{(6)(4) = \bf{ANSWER}}\\\large\text{= \bf{\underline{24}}}\)

\(\boxed{\boxed{\large\text{Answer: \bf{24}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

2/7th

Step-by-step explanation:

About 27% of students ride the bus for less than 13 minutes and about 82% of students ride the bus for less than 27 minutes.

What is ride of the bus?

To find the percentage of students who ride the bus for less than 13 minutes, we need to determine how many values in the data set are less than 13 and divide by the total number of values.

There are 3 values less than 13: 10, 11, and 13. So, 3 out of 11 values are less than 13.

Therefore, about 27% of students ride the bus for less than 13 minutes.

To find the percentage of students who ride the bus for less than 27 minutes, we need to determine how many values in the data set are less than 27 and divide by the total number of values.

There are 9 values less than 27: 10, 11, 13, 18, 19, 21, 22, 25, and 27. So, 9 out of 11 values are less than 27.

Therefore, about 82% of students ride the bus for less than 27 minutes.

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Complete question is: About 27% of students ride the bus for less than 13 minutes and about 82% of students ride the bus for less than 27 minutes.

Answer:

The first group of points is not a function due to repetition of elements in domain while second group of points is a function because no element of domain is repeated in any ordered pair.

Step-by-step explanation:

Why {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function?

A relation is said to be a function if there is no repetition in the first elements of each ordered pair. In this group of points, 0 is repeated in two ordered pairs (0, 1), (0, 5) so it is not a function.

Why {(1, 4), (2, 7), (3, 1), (5, 7)} is a function?

The given group of points is a function because there is no repetition in first elements of each ordered pair i.e. there is not repetition in domain so it is a function

BRAINLIEST?

Answer:

The first group of points is not a function due to repetition of elements in domain while second group of points is a function because no element of domain is repeated in any ordered pair.

Step-by-step explanation:

(0, 1), (0, 5), (2, 6), (3, 3)} is not a function.

A relation is said to be a function if there is no repetition in the first elements of each ordered pair. In this group of points, 0 is repeated in two ordered pairs (0, 1), (0, 5) so it is not a function.

{(1, 4), (2, 7), (3, 1), (5, 7)} is a function.

The given group of points is a function because there is no repetition in first elements of each ordered pair i.e. there is not repetition in domain so it is a function

Answer:

4 1/3 m  and 5 2/3 m

Step-by-step explanation:

smaller piece -l

large piece=2*l-3

l+2l-3=10

3l-3=10

+3      +3

3l=13

:3   :3

l=13/3=4 1/3 m

L= 2*13/3  -3=26/3-9/3=17/3=5 2/3m

Answer:

\(Small=4\frac{1}{3}\)

\(Large=5\frac{2}{3}\)

Step-by-step explanation:

Small = x

Large = 2x - 3

3x - 3 = 10

3x = 13

\(x=\frac{13}{3}\)

\(Small=\frac{13}{3}\)

\(Large=5\frac{2}{3}\)

Answer:

She needs to order 12 cars

Step-by-step explanation:

To find the total number of models, we just need to multiply the number of options for each choice:

body style: 2 options

interior package: 3 options

drive train: 2 options

So the number of different models is:

2 * 3 * 2 = 12 different models

So in order to have all the possible models, she needs to order 12 cars.

The type of test being conducted is c. a one-tailed test to the right.

To determine the type of test being conducted, we need to examine the alternative hypothesis.

If the alternative hypothesis is formulated as  μ>150, indicating that we are specifically interested in testing if the population mean is greater than 150, then it is a one-tailed test to the right. The critical region for rejection is in the right tail of the distribution.

On the other hand, if the alternative hypothesis is 150, indicating that we are interested in testing if the population mean is different from 150 (either greater or less than), then it is a two-tailed test. The critical region for rejection is split between both tails of the distribution.

In this case, since the alternative hypothesis is not provided, we assume a one-tailed test to the right based on the given null hypothesis μ=150.

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With an increase of 11%, the new pay will be  $9.10

We know that the workers demand a 22% raise, but you are willing to give half of that, so the raise will be of 11%.

Then the factor that we need to use is:

F = (1 + 11%100%)

F =(1 + 0.11)

F = 1.11

We need to multiply the old pay per hour by that factor:

New pay =  1.11*$8.20

New pay = $9.10

That is the new pay.

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Answer:

-1 and 2/4

Step-by-step explanation:

i took the pre test and got everything right

If x is greater than 20, then the expression |14-(x-6)| is equal to x-14. If x is equal to 20, then the expression is equal to 0. If x is less than 20, then the expression is equal to 14-x.

The absolute value function takes any number and returns its distance from zero. In this case, the expression 14-(x-6) is equal to 20-x if x is greater than 20. The distance between 20 and x is x-20, so the absolute value of this expression is x-20. If x is equal to 20, then the expression is equal to 0, since 20-20 is 0. If x is less than 20, then the expression is equal to 14-x, since the distance between 14 and x is 14-x.

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The area of rectangle is found to be 117 sq. yd.

Let the length of rectangle be L:

The, the width is W + 4 = L

Perimeter = 2(length + width)

P = 2(L + B)

P = 2(W + 4 + W)

P = 2(2W + 4)

40 = 4W + 4

4W =36

W = 9

The, L = 9 + 4 = 13 yd.

Area = length * width

Area = 9*13

Area = 117

Thus, the area of rectangle is found to be 117 sq. yd.

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Answer:

Step-by-step explanation:

The perimeter of a rectangle is the total circumference of the rectangle.

Perimeter=2(Length + breadth)

Perimeter=40yd

Length=x+4 and breadth=x

40=2(x+x+4);

40=4x+8;

4x=32 and x=8yd

So, length=12yd and breadth=8yd.

Area = length*breadth

So Area = 12*8= 96ydsq

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Answer:

First, let's find the cost of the DVR recorder. Martha paid a total of $288.60 for the recorder and 8 months of service. Since the service costs $19.95 per month, the total cost of 8 months of service is 8 * $19.95 = $159.60. Subtracting this from the total amount Martha paid, we get $288.60 - $159.60 = $129 for the cost of the DVR recorder.

Now, let’s find the total amount Martha will have paid for the 2-year agreement she signed. A 2-year agreement is equivalent to 24 months. So, the total cost of service for 24 months is 24 * $19.95 = $478.80. Adding this to the cost of the DVR recorder, we get $478.80 + $129 = $607.80 as the total amount Martha will have paid for the 2-year agreement she signed.

Step-by-step explanation:

The probability that at least one of the four Indiana adults selected is a gun owner is approximately 0.52.

To find the probability that at least one of the four Indiana adults selected is a gun owner, you can use the complementary probability principle, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.

In this case, the probability that none of the four Indiana adults selected is a gun owner is \((1 - 0.338)^4 = 0.48\) Therefore, the probability that at least one of the four Indiana adults selected is a gun owner is 1 - 0.48 = 0.52.

Therefore, the probability that at least one of the four Indiana adults selected is a gun owner is approximately 0.52.

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Goran earned a total of 516 points for the 6 tests.

To find the total points Goran earned for the 6 tests, you need to use the mean score and the number of tests.

Mean score: 86 points.

Number of tests: 6
Formula to calculate the total points:
Mean score = (Total points) / (Number of tests)
Now, rearrange the formula to find the total points:
Total points = Mean score × Number of tests
Plug in the values:
Total points = 86 × 6
Calculate the result:
Total points = 516.

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The book that weighs 3/4 pounds is greater than 1/2 pounds.

To compare the weights of the two books with 1/2 pound, we need to convert 1/2 pound into a fraction with a common denominator as the given weights. The common denominator of 8 and 4 is 8. So, we can convert 1/2 pound to 4/8 pound.

Now we can compare the weights of the two books with 4/8 pounds. The weight of the first book is 3/8 pounds, which is less than 4/8 pounds. The weight of the second book is 3/4 pounds, which is greater than 4/8 pounds.

Therefore, the book that weighs 3/4 pounds is greater than 1/2 pound.

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Answer:

-2/3

Step-by-step explanation:

Find two points and count the x and y axises between them.

(hope this helps!)

The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

6k − j^2 + 2k ÷ l

now, we have to simplify the given expression, using multiplication , division, addition & subtraction , as per the BODMAS rule.

so, we get,

6k − j^2 + 2k ÷ l

when j = 5, k = 12, and l = 3.

putting the values, we get,

30 - 25 +24 /3

=30 -25 + 8

=5+ 8

=13

Hence, The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.

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Answer:

The vertex is (2, 5)

Step-by-step explanation:

Answer:

y=-1/3x-1

Step-by-step explanation:

Perpendicular lines have slope that are opposite sign and reciprocals

3x-y=12 has a slope of 3, therefore perpendicular line must have slope of -1/3

2=-9(-1/3)+b

2=3+b

b=-1

The different simplified two-level gate circuits are as follows:
F(a, b, c, d) = (a'c)(b'd) + (ac)(bd') + (ab'c') + (ab'd') + (a'b'c') + (a'b'd) + (a'bc') + (a'b'd')

(a) F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w
From the expression F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w, the truth table can be derived.

Then Karnaugh Maps (K-map) can be applied to make the equations smaller.

In order to make the equations smaller, there are eight different simplified two-level gate circuits that can be used.

K-Map for (a):

The K-Map above is created for the given function F(w, x, y, z). This K-Map is used to create Boolean equations using the following steps:
1. Combine 1’s wherever possible to get two terms of two variables.
2. There are eight possible combinations of two variable equations.
3. Put these two-variable equations with a common variable together to get four-variable equations.
4. Finally, use the K-Map again to create two-variable equations to use in two-level gate circuits.

The different simplified two-level gate circuits are as follows:

F(w, x, y, z) = (w'z)(xy') + (wz')(x'y)  + (wz)(x + y')  + (wx)(y + z')  + (wx')(y' + z)  + (wy)(x + z')  + (wy')(x' + z)  + (w'x'z)(y + z)

(b) F(a, b, c, d) = Σ m(4, 5, 8, 9, 13)
The given expression F(a, b, c, d) = Σ m(4, 5, 8, 9, 13) can be simplified by using Karnaugh Maps to make the equations smaller. There are eight different simplified two-level gate circuits that can be used for the simplified expressions. K-Map for (b):

The K-Map above is created for the given function F(a, b, c, d). This K-Map is used to create Boolean equations using the following steps:
1. Combine 1’s wherever possible to get two terms of two variables.
2. There are eight possible combinations of two variable equations.
3. Put these two-variable equations with a common variable together to get four-variable equations.
4. Finally, use the K-Map again to create two-variable equations to use in two-level gate circuits.

The different simplified two-level gate circuits are as follows:
F(a, b, c, d) = (a'c)(b'd) + (ac)(bd') + (ab'c') + (ab'd') + (a'b'c') + (a'b'd) + (a'bc') + (a'b'd')

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2278753378947864-:$#hdsh

Answer:

Step-by-step explanation:

Any linear equation can be written as y = mx + b

The point will determine b

The slope (m) is found by this formula for a perpendicular line

m1 * m2 = - 1

m1 = -1/m2

m1 = -1/(-2/3)

m1 = 3/2

So our equation looks like

y = 3/2 x + b

Now we use the point (4,-8)

-8 = 3/2 (4) + b

-8 = 3(2) + b

-8 = 6 + b

b = - 14

The answer is

y = 4/2 - 14

In δcab, point e is the midpoint of segment ac and point d is the midpoint of segment bc. If the measure of segment ab is 8 units, the measure of segment segment ed is equal to 2 units.

We know that point e is the midpoint of segment ac and point d is the midpoint of segment bc. Given that the measure of segment ab is 8 units.We know that the midpoint divides a line segment into two equal parts. Therefore, the measure of segment ae is equal to the measure of segment ec and the measure of segment bd is equal to the measure of segment dc. We can represent this

as:ab = ae + eb (1)

ab = bd + dc (2)

Given that ae = ec and

bd = dc Therefore, substituting the above values in equations (1) and (2), we get From equations (3) and (4), we have: 2ae + eb = 2bd + dc Given that point e is the midpoint of segment ac and point d is the midpoint of segment bc, we can say that becomes:

2ae + eb = 2bd + dc

2ae = 2bd Since

ae = bd

= ec = dc, it implies that

ae + ed = ab8

= 2ae + ed

On substituting the value of 2ae in the above equation, we have:8 = 2bd + ed

Therefore,ed = 8 - 2bd

ed = 8 - 2(4)ed = 0

Thus, the measure of segment segment ed is equal to 2 units.

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The net electric field of particle 1 and particle 2 will be zero at a coordinate on the x-axis that is a multiple of L/8.

The net electric field at a point on the x-axis due to particle 1 and particle 2 can be calculated using Coulomb's law:

Electric field due to particle 1: E1 = kq1/\(r1^{2}\)

Electric field due to particle 2: E2 = kq2/\(r2^{2}\)

Here, k is the electrostatic constant, q1 and q2 are the charges of particle

1 and particle 2 respectively, and r1 and r2 are the distances from the particles to the point on the x-axis.

To find the coordinate on the x-axis where the net electric field is zero, we need the magnitudes of E1 and E2 to be equal. Taking the magnitudes of the electric fields:

|E1| = |E2|

Using the expressions for E1 and E2:

k*|q1|/\(r1^{2}\) = k*|q2|/\(r2^2\)

Since the charges q1 and q2 are given as -4.90q and +3.70q respectively, and the magnitudes are equal:

(4.90q)/r = \(r1^2\)3.70q)/\(r2^2\)

Simplifying, we get:

\(r2^2\)/\(r1^2\) = 4.90/3.70

Taking the square root of both sides:

r2/r1 = \(\sqrt{(4.90/3.70)}\)

r2/r1 = sqrt\(\sqrt{(1.324)}\)

r2/r1 ≈ 1.150

Thus, the ratio of distances r2/r1 is approximately 1.150.

Since the particles are fixed to the x-axis, the distance between them is L, and the ratio r2/r1 is L/x, where x is the coordinate we are looking for.

Therefore, we have:

L/x ≈ 1.150

Solving for x, we find:

x ≈ L/1.150

Hence, the coordinate on the x-axis where the net electric field of the particles is zero is approximately L/1.150, or equivalently, a multiple of L/8.

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The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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