Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorporates a flat base fee and an hourly rate to determine the cost of service. Those formulas are shown in the table.

Repair Cost Formulas
Electrician
Cost in y dollars for an x-hour service
1
y = 25 x + 30
2
y = 30 x + 25
3
y = 25 x + 20

Which statement is best supported by the table?
Each electrician charges a different hourly rate.
Each electrician charges a different base fee.
All three electricians charge the same hourly rate.
All three electricians charge the same base fee.

The graph of the function f(x) = 1/(x - 1) - 2 is added as an attachment

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

f(x) = 1/(x - 1) - 2

The above function is a radical function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

Step-by-step explanation:

Graph #          Matching equation

1                             |-3x|

2                            |-x|

3                           -|2x|

You can tell which one matches by finding the slope and whether the V points up or down

Answer:

chronological

or +1 each number up

Step-by-step explanation:

The middle number on the 50th row is 891.5.

The nth row is 18n - 17.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

We see that there are 18 numbers in each row.

The numbers are consecutive natural numbers.

Now,

We can see that,

The first number of each row is 1.

The first number of the second row is 19.

The first number of the third row is 37.

The first number in each row can form a series.

1, 19, 37,....

This series is an arithmetic sequence.

First term = 1

Common difference = 18

The nth term is a + (n - 1)d.

50th term.

= 1 + (50 - 1)18

= 1 + 49 x 18

= 1 + 882

= 883

This means,

The 50th row will have the following series.

883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900.

The middle number is the midpoint of 891 and 892.

= 891.5

The nth row.

= 1 + (n - 1)18

= 1 + 18n - 18

= 18n - 17

Thus,

The middle number on the 50th row is 891.5.

The nth row is 18n - 17.

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An event that may occur in the game is you roll a  and get a tail.

The probability that he will roll a 5 and get a head is 1 / 12.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that he will roll a 5 and get a head = (Number of sides with a 5 / number of sides in a cube) x (number of sides with a head / number of sides in a coin)

1/6 x 1/2 =  1 / 12.

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Answer:

A. 11-3i

Step-by-step explanation:

3-7i+8+4i

Add the numbers

11-7i+4i

Collect like terms

11-3i

it A

Step-by-step explanation:

The probability that the retailer accepts the entire shipment can be calculated using the hypergeometric distribution, which is the type of discrete probability distribution that describes this problem.

The probability that the retailer accepts the entire shipment can be calculated using the binomial distribution. We know that there are 15 TV sets in the shipment and 6 of them are defective.

The retailer will inspect 4 sets, so the probability of observing no more than 1 defective is the probability of observing 0 defective plus the probability of observing 1 defective.

The probability of observing 0 defective in 4 sets can be calculated as:

P(0) = (9/15) * (8/14) * (7/13) * (6/12) = 0.168

The probability of observing 1 defective in 4 sets can be calculated as:

P(1) = (6/15) * (9/14) * (8/13) * (7/12) + (9/15) * (6/14) * (9/13) * (8/12) + (9/15) * (8/14) * (6/13) * (9/12) + (9/15) * (8/14) * (7/13) * (6/12) = 0.512

Therefore, the probability that the retailer accepts the entire shipment is:

P(accept) = P(0) + P(1) = 0.168 + 0.512 = 0.68

This means that there is a 68% chance that the retailer will accept the entire shipment even though there are actually 6 defective sets.

In this problem, we are dealing with a binomial distribution because we have a fixed number of trials (4 inspections) and each trial can result in one of two outcomes (defective or not defective).

The probability of each outcome (defective or not defective) is also fixed and does not change from trial to trial.

To answer your question, let's use the hypergeometric distribution, which is appropriate for sampling without replacement. In this case, we have a total of 15 television sets, with 6 defective sets and 9 non-defective sets.

The retailer inspects 4 sets and accepts the entire lot if there are no more than 1 defective set among them.

To calculate the probability, we need to consider two cases: 0 defective sets or 1 defective set in the 4 inspected sets.

Case 1 (0 defective sets):
P(0 defective sets) = (9C4 * 6C0) / 15C4

Case 2 (1 defective set):
P(1 defective set) = (9C3 * 6C1) / 15C4

Adding the probabilities of both cases will give the probability that the retailer accepts the entire shipment:

P(accept entire shipment) = P(0 defective sets) + P(1 defective set)

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The number of total seats in the theater is 1287 seats.

The formula to find the sum in an arithmetic sequence will be:

= n/2 (a + l)

where n = total number

a = first term

l = last term

The last term which is the 22nd term will be:

= a + 21d

= 27 + 21(3)

= 27 + 63

= 90

The sum will be:

= n/2 (a + l)

= 22/2 ( 27 + 90)

= 11 × 117

= 1287 seats

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Answer:

D

Step-by-step explanation:

45+62=107

180-107=73

Answer:

D)   k=73

Step-by-step explanation:

easy triangles add up to 180

180-62-45=73

Brainliest please

A B C is the correct condition for the researcher to calculate the mean.

When a researcher collects a simple random sample of grade-point averages of statistics students, the sample mean can be treated as a value from a population having a normal distribution under the following conditions:

A. The researcher collects more than 30 samples.

B. If the population of statistics students has a normal distribution.

C. If the population of grade-point averages has a normal distribution.

Hence, options A, B, and C are correct. In order to estimate P(at least 5)

with n = 13 and p = 0.5, the following formula should be used:μ = np = (13)

(0.5) = 6.5σ = sqrt(npq) = sqrt(13 × 0.5 × 0.5) = 1.802P(at least 5) = P(X ≥

5.5)Using continuity correction, P(X ≥ 5.5) is equivalent to:P(Z ≥ (5.5 -

6.5)/1.802)P(Z ≥ -0.555) = 0.2918 (rounded to 4 decimal places)Therefore,

P(at least 5) = 0.2918 (rounded to 3 decimal places).Thus, the correct

choice is option A: P(at least 5) = 0.292 (rounded to 3 decimal places).

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The estimated number of pieces of mail are sent each year worldwide is equal to 425 billion.

Percent of world's total mail US Postal Service handles = 40% .

Let X be the total number of pieces of mail sent worldwide each year.

The US Postal Service handles pieces of mail each year   = 170,000,000,000 .

Which is equal to 40% of X.

Required equation for the estimated data we have,

170,000,000,000 = 0.4X

Solve for X.

Divide both sides of the equation by 0.4 we get,

⇒ X = 170,000,000,000 / 0.4

⇒ X = 425,000,000,000

Therefore, it is estimated that approximately 425 billion pieces of mail are sent each year worldwide.

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The given question is incomplete, I answer the question in general according to my knowledge:

The U.S postal service handles 170,000,000,000 pieces of mail each year. this is 40% of the worlds total. How many pieces of mail are sent each year?

Inversely proportion - The work out value of R and A is 3.6 and 2 respectively.

What is inversely proportion?

They are said to be inversely proportional when one quantity's value rises relative to another's decline or vice versa. It implies that the two quantities behave inherently differently. For instance, time and speed have an inverse relationship. The time decreases as you increase the speed. Inverse proportion, varying inversely, inverse variation, and reciprocal proportion are additional terms used here to describe this kind of proportion.

Given, R \(\alpha\) 1/A

R = k/A

When R = 12 and A = 1.5

12= k× 1.5

k= 18

Now, when A=5, R= 18/5 = 3.6

And when R= 9, A = 18/9=2

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Answer:

(x-7)/3

Step-by-step explanation:

x is the amount of candy

x-7 is the amount that Adam got.

(x-7)/3 is the expression for how many pices each child received.

Answer:

9

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Arranging the numbers in ascending order,

9,11,11,12,13,13,14,14,17,17,18,19,22,23,25

Median = 14

A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

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Answer:

i don't know

Step-by-step explanation:

Using Sphere geometry formulas , 2.45 ft/min is increasing rate of spherical ballon when the diameter is 1.5 feet.

Sphere is a three dimensional form of circle .

let V and D be volume and diameter of the sphere. we have given that ,

Volume increasing rate of spherical ballon (dV/dt)

= 3.7 ft³/min

diameter of sphere at time of increasing = 1.5 feet

the increasing rate of spherical ballon is dD/dt.

Now, Volume of sphere (V) = 4/3π³ ft³

or we know that D = r/2 so,

V = 4/3 π (D)³×8 ft³

differentating both sides we get ,

dV/dt = 32/8π 3D³dD/dt

=> 3.7 = 32/3 (3.14)(1.5)²dD/dt

=> dD/dt= 2.45 feet/min

Hence, 2.45 ft/min is the rate of the diameter of the balloon increasing when the diameter is 1.5 feet.

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Answer:

60 minutes

Step-by-step explanation:

Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Step-by-step explanation:

EDGE2021

The price elasticity of the supply is 0.43.

The relationship between the percentage change in a product's quantity demanded and the percentage change in price is known as price elasticity of demand. It helps economists comprehend how supply and demand shift in response to changes in a product's price.

Price Elasticity of Demand =\(\frac{Percentage Change in Quantity}{Percentage Change in Price }\)=\(\frac{\Delta Q}{\Delta P}\)

Further, the equation for price elasticity of demand can be elaborated into

Percentage change in quantity=ΔQ=\(\frac{(q_{2}-q_{1})}{(q_{2}+q_{1})}}\)

Percentage change in quantity=ΔP=\(\frac{(p_{2}-p_{1})}{(p_{2}+p_{1})}}\)

Where, \(q_{1}\)= Initial quantity, \(q_{2}\)= Final quantity,\(p_{1}\)= Initial price and \(p_{2}\) = Final price

Here,  \(q_{1}\)=10000,\(q_{2}\)=5000

Percentage change in quantity=ΔQ

=\(\frac{10000-5000}{10000+5000}\)

=\(\frac{5000}{15000}\)

=0.333

Here,  \(p_{1}\)=20 and \(p_{2}\)=15

Percentage change in quantity=ΔP

= \(\frac{20-15}{20+15}\)

=\(\frac{5}{35}\)

=0.143

Price Elasticity of Demand

=\(\frac{Percentage Change in Quantity}{Percentage Change in Price }\)

=\(\frac{0.333}{0.143}\)

=2.33

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The parametric equations for the ellipse x^2/2^2 + y^2/4^2 = 1, traced clockwise as the parameter increases, are:
x = 2cos(t)
y = -2sin(t)

To find the corresponding y-value for a given x-value on the ellipse, we can rearrange the equation:

x^2/2^2 + y^2/4^2 = 1
y^2/4^2 = 1 - x^2/2^2
y^2 = 4^2(1 - x^2/2^2)
y = ±2sqrt(1 - x^2/2^2)

Since the curve is traced clockwise as the parameter t increases, we can set x = 2cos(t) and y = -2sqrt(1 - x^2/2^2) to trace the lower half of the ellipse:

x = 2cos(t)
y = -2sqrt(1 - (2cos(t))^2/2^2)
y = -2sqrt(1 - cos^2(t))

Using the identity sin^2(t) + cos^2(t) = 1, we can solve for sin(t):

sin^2(t) = 1 - cos^2(t)
sin(t) = ±sqrt(1 - cos^2(t))

Since we want the negative value to trace the lower half of the ellipse, we have:
y = -2sin(t)

Therefore, the parametric equations for the ellipse x^2/2^2 + y^2/4^2 = 1, traced clockwise as the parameter increases, are:
x = 2cos(t)
y = -2sin(t)

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rise/run 1/4 so it can be

Answer:1/4

Step-by-step explanation:

The solution to this system of equations is dependent.

Dependent matrix is a matrix where one or more rows can be expressed as a linear combination of the other rows. This means that the rows are not linearly independent, and there is redundancy in the information they provide.

A dependent matrix has less than full rank, which means that the rank of the matrix is less than the number of rows or columns. In a dependent matrix, one or more variables can be expressed in terms of the other variables, and the system of equations represented by the matrix has infinitely many solutions.

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Answer:

The answers are C, D, and F

Step-by-step explanation:

Simplify 6 - 8 to -2

n + 1 = 4 * -2

Simplify 4 * - 2 to -8

n + 1 = -8

Subtract 1 from both sides

n = -8 - 1

Simplify -8 - 1 to -9

n = -9

Check answer:

n + 1 = 4(6 - 8)

Let n = -9

-9 + 1 = 4 * (6 - 8)

Simplify 6 - 8 to -2

-9 + 1 = 4 * -2

Simplify 4 * -2 to -8

-9 + 1 = 8

n = 8

Answer:

n=9

Step-by-step explanation:

n+1=4(6-8)

We move all terms to the left:

n+1-(4(6-8))=0

We add all the numbers together, and all the variables

n+1-(4(-2))=0

We add all the numbers together, and all the variables

n+9=0

We move all terms containing n to the left, all other terms to the right

n=9

The answer should be n=9

Answer:

area is 60.75 m^2

Step-by-step explanation:

Check the picture below.

The unit rate of the beef if it cost $14.40 for 4.5 pounds of beef is $3.2 per pound

The unit rate is the cost of each unit of an item at a particular time.

Cost of 4.5 pounds of beef = $14.40

Unit rate of beef = Total cost / Total pounds

= $14.40 / 4.5

= $3.2 per pound

Check:

Cost of 4.5 pounds of beef = unit cost of beef × pounds of beef

= $3.2 × 4.5

= $14.4

In conclusion, the unit rate of beef is given as $3.2 per pound.

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