Answer:
\(y - ( - 20) = 9(x - ( - 2))\)
\(y + 20 = 9(x + 2)\)
Step-by-step explanation:
\(m = \frac{79 - ( - 20)}{9 - ( - 2)} = \frac{99}{11} = 9\)
\(y - ( - 20) = 9(x - ( - 2))\)
\(y + 20 = 9(x + 2)\)
What is the greatest common factor of 24 and 60
Answer:
12 is the GFC.
Step-by-step explanation:
24 - 8, 3, 4, 6, 2, 12, 1, 24
60 - 10, 6, 2, 30, 20, 3, 5, 12, 4, 15
The greatest common factor of 24 and 60 is 12
What is greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
For us to find the greatest common factor we need to find the common factors between the numbers.
The factors of 24 = 1,2,3,4,6,8,12 and 24
The factors of 60 = 1,2,3,4,5,6,12,15,30 and 60.
The common factors are ;
1,2,3,4,6 and 12
And the greatest common factor is 12. because it is the highest factor.
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Tom owns a Pizza Restaurant. Expenses for the restaurant include raw material for pizza at $7.02 per slice, $121.00 as monthly rental and $56.00 monthly as insurance. A restaurant sells pizza at a rate of $12.02/slice. How many slices should the restaurant sell in a month to break even
For Tom's Pizza Restaurant where expenses for the restaurant include raw material for pizza, monthly rent and insurance, total 35 slices must be sold in a month to break even.
There is Tom has a Pizza Restaurant. Now, the Expenses for the restaurant include raw material for pizza = $7.02 per slices
Monthly rental = $ 121.00
Monthly insurance= $56.00
So, Monthly fixed expense = Rent + Insurance = 121+ 56 = $177
The sell rate of pizza = $12.02/slice.
We have to determine the number of slices restaurant sell in a month to break even.
Contribution margin per share = selling price per slice - variable cost per slice = 12.02 - 7.02 = $5.00
Number of slice to be sold to break even = Fixed cost divided by Contribution margin per slice = \(\frac{ 177}{5}\)
= 35.4
= 35 (rounded to whole number)
Hence, 35 slices must be sold for break even.
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When people are discharged from a hospital, they are surveyed about the quality of their stay. The hospital asks each person to turn in the survey before leaving. Is this a simple random sample?
Yes, because each person has the opportunity to respond to the survey.
Yes, because each person is equally likely to get the survey.
No, because not everyone has the same opportunity to answer the survey.
No, because each person is asked to fill out the survey, so this is not a sample.
Answer:
No, because not everyone has the same opportunity to answer.
Step-by-step explanation:
Answer:
C is the correct answer
Step-by-step explanation:
I just took the quiz on edge 2023
f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(x)
Answer:
f(g(x))=9-x-\(x^{2}\)
Step-by-step explanation:
Given ,
f(x)=9-x
g(x)=\(x^{2}\) +x
here,.
fog
=f(g(x))
=f(\(x^{2}\) +x)
=9-(\(x^{2}\) +x)
=9-\(x^{2}\) -x
=9-x-\(x^{2}\)
A marine biologist is setting up a net 6 feet below the surface of the water. each foot of the water screens out 40% of the light coming from the surface. which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent? 0.4% 1.0% 4.7% 7.8%
The approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent is 4.7%
How is the percentage of light remaining at a depth of 6 feet calculated?The percentage of light remaining is calculated from the percentage of light remaining after a depth of one foot each.
Percentage of light remaining after 1 feet = 100 - 40% = 60%.
Percentage of light remaining after 6 feet = 60% × 60% × 60% × 60% × 60% × 60% = 4.7%
Therefore, the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent is 4.7%.
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Please help!! I don’t understand this.
A partly-full paint can has 0.878 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? (b) If all the remaining paint is used to coat a wall evenly (wall area = 13.7 m2), how thick is the layer of wet paint? Give your answer in meters.
a) The volume of paint left in the can is:
.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
b) the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:
0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:
Volume = area * thickness
We want to solve for the thickness, so we rearrange the formula to get:
Thickness = Volume / area
The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:
0.003321 m^3
The area of the wall is given as:
13.7 m^2
So the thickness of the layer of wet paint is:
0.003321 m^3 / 13.7 m^2 = 0.000242 m
Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
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express 10000 in Index form
Answer:
10^4
Step-by-step explanation:
10×10×10×10=10,000, which is given number.
65. Given a segment with endpoints A and C and midpoint. If A(5, 8), and M(-3,2). Find the
location of C.
Answer:
C(-11,-4)
Step-by-step explanation:
I need help with this please it’s?
Answer:
the answer to the question is C
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
What is the probability that a card drawn randomly from a standard deck of 52 cards is a nine? Express your answer as a fraction in lowest
terms or a decimal rounded to the nearest millionth.
Answer:
1/13
Step-by-step explanation:
There are 4 nines in a deck so the probability is 4/52 = 1/13
The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.
What is Probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Total outcomes = 52 cards
Number of cards which contain 9 = 4 cards
Probability = favorable outcomes/ total outcomes
= 4 / 52
= 1/13
Thus, The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.
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the greatest common factor of the binomial 2 x − 4 is 2 . the greatest common factor of the binomial 4 x 8 is 4 . what is the greatest common factor of their product, ( 2 x − 4 ) ( 4 x 8 ) , when it has been multiplied out?
The greatest common factor of their product is 2
How to determine the greatest common factor of the productFrom the question, we have the following parameters that can be used in our computation:
GCF of 2x - 4 = 2
GCF of 4 * 8 = 4
Using the above as a guide, we have the following expressions
GCF of 2x - 4 = 2
GCF of 4 * 8 = 2 * 2
Write out the common factors
GCF = 2
This means that the GCF is 2
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What happened to the owl who swallowed a watch
Answer:WAIT HE IS TELLING THE TIME
Step-by-step explanation:
BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP
3r+4=qr-5p for r
Answer:
r = qr - 5p - 4
Step-by-step explanation:
3r + 4 = qr - 5p
Subtract:
3r = qr - 5p - 4
Divide:
r = qr - 5p - 4
help
7(−14)= i will give 10 or 100
A function f(x) has x-intercepts of –3 and –5. what is the constant term in the function? f(x) = x2 8x
The constant term in the function f(x) = x² + 8x + 15 would be 15.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
A function f(x) has x-intercepts of –3 and –5 means
f(x) = (x+3)(x+5)
f(x) = a(x + 3)(x + 5), here a is a multiplier
let a = 1 then
f(x) = (x + 3)(x + 5) (expand factors)
f(x) = x² + 8x + 15
thus, 15 is the constant term
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tracy was given a bag of 250 colored marbles. she randomly chose a marble, recorded its color in the table, and returned it to the bag. after doing this 50 times, tracy has the following data. marble selections by color color number red 20 blue 14 yellow 9 green 7 which statement about the bag of marbles is not supported by the data?
The statement "There are about three times as many green marble as there are red marble." about the bag of marbles is not supported by the data. So the option B is correct.
250 different coloured marbles are in the bag.
She then picked one stone at random, noted its color in the table, and put it back in the bag. after 50 repetitions of this.
It means that since there are 250 marbles and 50 random marble selections are made.
The quantity of red marbles in the bag is then,
n(R) = 250/50 × 20
n(R) = 5 × 20
n(R) = 100
Hence, the proportion of red marbles = 100/120 × 100
The proportion of red marbles = 40%
The number of blue marble is:
n(B) = 250/50 × 14
n(B) = 5 × 14
n(B) = 70
The number of yellow marble is:
n(Y) = 250/50 × 9
n(Y) = 5 × 9
n(Y) = 45
The number of green marble is:
n(G) = 250/50 × 7
n(G) = 5 × 7
n(G) = 35
From the we can say that
n(R) = 40%, n(B) = 2n(G), n(Y) = 45
So the option B is correct.
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The complete question is:
Tracy was given a bag of 250 colored marbles. she randomly chose a marble, recorded its color in the table, and returned it to the bag. After doing this 50 times, Tracy has the following data.
Marble selections by color
Color Number
Red 20
Blue 14
Yellow 9
Green 7
Which statement about the bag of marbles is not supported by the data?
A. The bag probably contains about 45 yellow marble.
B. There are about three times as many green marble as there are red marble.
C. There are about twice as many blue marble as there are green marbles.
D. About 40% of the marbles in the bag of red marble.
14. A pitcher contains quart of lemonade.
If an equal amount of lemonade is
poured into each of 6 glasses, how much lemonade will each glass contain ?
Answer:
1/9 quart in each glass
Step-by-step explanation:
2/3) / 6
(2/3) * (1/6) = 2/18 = 1/9 quart in each glass
Simplify the following and leave your answer in smallest form
1 + 2 + 1
_ _ _
2 3 6
Answer:
1/59
Step-by-step explanation:
Answer:
1/59
think of it dude
a meal cost 32.75 and another meal cost 39.88 a person pays for bothe meals and leaves a 14% tip whats the total cost
Answer:
if a person pays for both meal then
32.75+39.88
=159.75
noww
14%of 159.75
(14/100)x159.75
=22.36$
noww total cost
=159.75+22.36
=182.115$
Answer:
total cost = 77.82 including tax
Step-by-step explanation:
32.75+39.88= 72.63
72.63/14= 5.19
72.63+5.19
=77.82
Write each equation in slope-intercept form. Then find the slope and y -intercept of each line. - [ (1/2)x - y ] = 3/4
The slope is 1/2 and the y-intercept is 3/4 in the equation - [ (1/2)x - y ] = 3/4.
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope
We know that the equation for slope(m) and y - intercept(c) of a line is given by :
y = mx + c
Here given the equation - [ (1/2)x - y ] = 3/4, lets simplify
⇒ - [ (1/2)x - y ] = 3/4
⇒ -(1/2)x + y = 3/4
⇒ y = (1/2)x + 3/4
Hence, the slope is 1/2 and the y-intercept is 3/4 in the equation - [ (1/2)x - y ] = 3/4
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S • 41. If US$ 1 is equivalent to $ 47.50, the value of US$7 in Jamaican currency is?
Answer:
your anwser is 1085
Step-by-step explanation:
Write the fraction as a decimal. 4/5 *
Which of the following is not a subset of {1, 2, 3}?
{0}
{1, 2, 3}
Ø
Answer:
{0}
Step-by-step explanation:
{0} is not because 0 is not an element of set {1, 2, 3}
The null set is a subset of every set, so Ø is.
A set is a subset of itself.
According to the sliding filament model, which of these gets shorter during muscle contraction? (choose all that apply)
The required result of the sliding filament model given below.
What is the sliding filament model?The mechanism by which muscles contract is described by the sliding filament model. Actin and myosin myofilaments move over one another as a result of a cycle of repeated occurrences, constricting the sarcomere and creating tension in the muscle.
The A band is the middle, darkly pigmented area of the sarcomere that runs the entire length of the thick filaments. The portion of the thin filaments that cross over the thick filaments is also included. The I band is formed by the remaining thin filaments within the sarcomere but not by any thick filaments. Each A band has a narrow region in the middle called the H zone, which is made up entirely of dense filaments.
Myosin heads pull the thin filaments in the direction of the M line during muscle contraction. Because of this, the thin filaments glide inward, allowing their ends to overlap and connect at the sarcomere's core. The I band and H zone become smaller as a result.
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Find the value of c that completes the square. r^2+21r+c
Answer:
c = 110.25
(r + 10.5)²
Step-by-step explanation:
Hello!
Perfect Square Trinomial: \((a + b)^2 = a^2 + 2ab + b^2\)
21r is basically 2 times r and b, the missing number.
Solve for b21r = 2*r*b10.5 = bThe missing number, b, would be 10.5
Now c is basically b², so we just have to simplify 10.5²:
10.5²110.25c should be 110.25 for it to be a Perfect Square Trinomial. The factored form would be (r + 10.5)².
on any given day, the number of users, u, that access a certain website can be represented by the inequality |125-4|<=30. which of the following represents the range of users that access the website each day? - u>=95 or u<=155 - 95>=u>=155 - u<=95 or u>=155 - 95<=u<=155
There is no correct option given, but 23.75 <= u <= 38.75 is closest to the given option "95<=u<=155".
To solve the inequality |125 - 4u| <= 30, let's consider two cases:
Case 1: 125 - 4u >= 0, meaning that (125 - 4u) is positive or zero. In this case, we can rewrite the inequality as:
125 - 4u <= 30
Now, solve for u:
-4u <= 30 - 125
-4u <= -95
u >= 23.75
Case 2: 125 - 4u < 0, meaning that (125 - 4u) is negative. In this case, we can rewrite the inequality as:
-(125 - 4u) <= 30
Now, solve for u:
4u - 125 <= 30
4u <= 155
u <= 38.75
Combining the results from both cases, we get the range of users as 23.75 <= u <= 38.75. This is closest to the given option "95<=u<=155", but the correct range is actually 23.75<=u<=38.75.
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if 500 pieces of something is a pound how much does 1 piece weigh?
Answer:
0.002 pounds
Step-by-step explanation:
1lb / 500 = 0.002 pounds
-x - 5 = 6 what is x
Answer:
x = -11Step-by-step explanation:
\(-x - 5 = 6\)
Rearrange
\(-5-6=x\\\\Simplify\\\\-11=x\\\\x=-11\)