The equation of the line in slope-intercept form is y = 3x - 9.
We can use the point-slope form of the equation of a line to find the equation in slope-intercept form.
First, we find the slope of the line using the two given points:
slope = (change in y) / (change in x) slope = (6 - (-15)) / (5 - (-2)) slope = 21 / 7 slope = 3
Now we can use the slope and one of the given points to find the equation in point-slope form:
y - y1 = m(x - x1) y - (-15) = 3(x - (-2))
Simplifying and rearranging, we get:
y + 15 = 3(x + 2)
Finally, we can write the equation in slope-intercept form by solving for y:
y + 15 = 3x + 6 y = 3x - 9
Therefore, the equation of the line in slope-intercept form is y = 3x - 9.
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The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
What is the measure of
Answer:
∠w = 50°
∠y = 130°
Step-by-step explanation:
Angles ∠w and ∠y are supplementary angles, which means their sum is 180.
4x + 6 + 12x - 2 = 180
Add like terms16x + 4 = 180
Subtract 4 from both sides16x = 176
Divide both sides by 16x = 11
To find the angle measures replace x with 11
∠w = 4x + 6
∠w = 4*11 + 6
∠w = 50°
Now, ∠y
∠y = 12x - 2
∠y = 12*11 - 2
∠y = 130°
What is m<9 = 130 degrees, What is m<4
Answer:
50 degrees
Step-by-step explanation:
They are alternate exterior angles, so they add up to 180 degrees.
Classify the following triangle. Check all that apply.
Answer: D, F
Step-by-step explanation:
Because they all apply
a cone has the diameter of 3 inches. the cone holds 12 cubic inches of water. to the nearest inch, what is the height of the cone?
Answer:
The height is about 5 inches.
Step-by-step explanation:
The volume for a cone is \(\frac{1}{3}\) × π × r² × h
The radius of the cone is 1.5
12= \(\frac{1}{3}\) × π × 1.5² × h
12= \(\frac{1}{3}\) × π × 2.25 × h
12=0.75×π×h
Divide both sides by 0.75
16=π×h
Divide both sides by π
5≈h
The height is about 5 inches.
A rectangular tank 80 cm wide by 100 cm long by 60 cm high is filled up with water up to of its height. Water is then poured into the tank until it is 3 filled with 384 € of water. Find the amount of water that was poured the tank. Give your answer in litres.
Answer:
0 liters
Step-by-step explanation:
The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:
Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³
Since the tank was filled up to of its height, the volume of water in the tank at this point is:
Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³
To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):
Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height
= 384,000 cm³ - 1,200,000 cm³
= -816,000 cm³
Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.
Therefore, the answer to the problem is 0 liters or 0 cm³.
Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.
Calculate the distance between the points P=(1, -1) and N=(5, -8) in the coordinate plane.
Round your answer to the nearest hundredth.
PLEASE PLEASE HELP ME
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)
5. Wnte a rational number
between 6 and 7.
Answer:
6.2
Step-by-step explanation:
decimals are rational numbers so you could do 6.2
The TV you bought was $900 and the sales tax was 10%, what was the total cost of the TV.
Pedro's car completes 2.2 laps for every 2 laps Noor's car completes. a. How many laps does Pedro's car complete when Noor's car completes 100 laps?
B) Pedro's car completes what percent of the number of laps that Noor's car completes?
a) Pedro's car completes 110 laps while Noor's car completes 100 laps.
b) Pedro's car completes 110% of the number of laps that Noor's car completes.
What do laps mean?A lap refers to a complete circuit or rotation around a racetrack or other designated course. It is a standard unit of distance used in racing and other related sports. The length of a lap can vary depending on the specific track or course being used. In general, completing more laps than your competitors in a race is an indication of better performance and can help you win the race.
According to the given informationa)We can start by setting up a proportion to represent the relationship between the number of laps Pedro's car completes and the number of laps Noor's car completes:
2.2 laps / 2 laps = x laps / 100 laps
We can solve for x by cross-multiplying:
2.2 laps * 100 laps = 2 laps * x laps
220 laps = 2x
Dividing both sides by 2, we get:
x = 110 laps
b)If Pedro's car completes 2.2 laps for every 2 laps Noor's car completes, then we can find the ratio of the number of laps Pedro's car completes to the number of laps Noor's car completes as follows:
2.2 laps / 2 laps = 1.1
This means that Pedro's car completes 1.1 laps for every 1 lap Noor's car completes.
To find the percentage that Pedro's car completes compared to Noor's car, we can multiply this ratio by 100:
1.1 * 100 = 110%
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I don't need help but I am giving the answer to everyone :) hope it helps
The number of cannonballs in illustration is 506.
What is illustration?Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.
The number of cannonballs in the first layer = 1² = 1
Number of cannonballs in the second layer = 2² = 4
Number of cannonballs in the third layer = 3² = 9
So, the generalized formula to count the balls is given as
= n(n + 1) (2n + 1)/ 6
Here, n= the total number of layers
Put n =11
11(11 + 1)(2(11) + 1) / 6
= 11(12)(23)/6
= 3036/6
= 506
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Help please geometry
The area of the shaded region = 30.903 in²
From the attached figure we can observe that the radius of the circle R is r = 6 in.
Using the forula for the area of circle, the area of circle R would be,
A₁ = πr²
A₁ = π × 6²
A₁ = 36π
A₁ = 113.097 in²
So, the diameter would be d = 6 × 2 = 12 in.
The circle R is inscribed in a square.
So, the side length of square is equal to the diameter of the circle.
This means the side length 'a' os square = 12 in.
Using the formula of the area of square,
A₂ = side²
A₂ = a²
A₂ = 12²
A₂ = 144 in²
so, the area of the shaded region would be,
A = A₂ - A₁
A = 144 -113.097
A = 30.903 in²
This is the required area.
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Which expression is equivalent to 6 (a minus 3)?
Answer:
6a-18
Step-by-step explanation:
The Celsius scale for measuring temperatures is given by 9C = 5F-160, where C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit.
Which system of equations would give the temperature where the degrees Celsius and degrees Fahrenheit are equal?
The correct option of system of equations that can be used to find the temperature at which the degrees Celsius and the degrees Fahrenheit would be equivalent is the option;
5·F - 9·C = 160
F - C = 0
What is a system of equation?A system of equation, is a set of equation that have common variables.
The equation for conversion of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is; 9·C = 5·F - 160
When the temperature in degrees Celsius is equivalent to the temperature in degrees Fahrenheit, we get;
F = C
Therefore;
F - C = 0
Similarly, from the specified equation, we get;
9·C = 5·F - 160
5·F - 9·C = 160
The system of equation that would give the temperature where the degrees Celsius and degrees Fahrenheit are equivalent is therefore;
5·F - 9·C = 160
F - C = 0
(Which yields a temperature of 40°)
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2x - 2x -6
How to factor
Answer:
-6 factor the polynomial
Step-by-step explanation:
1. Which of the following is NOT a linear function? (1 point) o y = 2 x oy- Only ՆԱ ՒՆ 2. x - y = 4 3 o y- St. 1
A function is not linear when has at least one term with an exponent bigger than 1, or lesser than 1
looking at options ,the first 3 have 1 as exponent, but the last one has exponent -1
then the option correct is D) -3/x -2
Find the value of x that makes the equation true:
x + 3 = 4
a. x = 12
b. x = 2
c. x = 1
d. x = 7
7: An entrance examination for a job consists of 25% English, 30% Mathematics, 25% computer and 20% accounting, and the passing mark is 45. If an applicant sat for the examination and scored 60% in English, 35% in Mathematics, 80% in computer and 50% in Accounting, do you think she will be accepted?
Answer: The overall score obtained is 55.5, which is higher than the passing mark of 45. Therefore, the applicant will be accepted.
Step-by-step explanation:To determine if the applicant will be accepted, we need to calculate their overall score based on the percentage weights and passing mark given for each subject.
The overall score can be calculated as follows:
Overall score = (0.25 x English score) + (0.3 x Math score) + (0.25 x Computer score) + (0.2 x Accounting score)
Substituting the given scores, we get:
Overall score = (0.25 x 60) + (0.3 x 35) + (0.25 x 80) + (0.2 x 50)
= 15 + 10.5 + 20 + 10
= 55.5
Quickly!!! A turtle and a snail are 300 feet apart when they start moving towards each other. The turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1 foot per minute.how fast are the turtle and snail approaching each other
Answer:
6 feet per minute.
Step-by-step explanation:
The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:
5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min
Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.
Answer:
6 feet per minute.
as part of a summer job, you stack crates. the crates have the same length and width but have heights of 1 or 2 feet. using a forklift, you can stack the crates 8 feet high. if you stacked 3 of the 2-foot crates how many of the 1-foot crates were in the stack?
Answer:
1 of the feet is 2 of the feet
Step-by-step explanation:
1. Global warming creates local problems. Projections forecast that even a moderate air temperature increase of only 1.8 °F could cause brook trout distributions to decrease dramatically. For example, such a temperature increase would take Washburn county's 19 ponds that support brook trout down to 10 ponds. What would be the percent decrease in the number of ponds that support brook trout?
The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.
To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.
Initial number of ponds: 19
Final number of ponds: 10
To calculate the percent decrease, we can use the following formula:
Percent Decrease = (Difference / Initial Value) * 100
Let's apply this formula to the given data:
Difference = Initial number of ponds - Final number of ponds
Difference = 19 - 10
Difference = 9
Percent Decrease = (9 / 19) * 100
Now, let's calculate the percent decrease:
Percent Decrease = (9 / 19) * 100
Percent Decrease ≈ 47.37%
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Riley put £450 into a savings account which
gathered simple interest at a rate of 2% per month.
After 6 months, Riley used some of the money in
the account to buy a bike costing £480.
How much money did Riley have left?
Answer:
£26.77
Step-by-step explanation:
450(100% + 2%)^6
= 450 (1.02)^6
= 506.77.
506.77 - 480 - 26.77.
Riley had £26.77 left.
I NEED HELP PLEASEEEEEEEEEEE I CANT DO IT PLEASE JELP ASAP
Answer:
D: its 18
Step-by-step explanation:
I yeeted it into a calculator
Kindly help me with this question.
1. Given that f(x) = 2x-1, g(x) =(1/3) x 2 find:
i)(f o g(x)) ii) (g o f(x)) iii) (f o f(x)) iv) ( g o g(x)) v)confirm that f -1
(f(x))=x
Which expression is equivalent to (2.9)4? HELP ASAP
Answer:
2^4 * 9^4
Step-by-step explanation:
(2*9)^4
We can take the power to each term inside the parentheses
2^4 * 9^4
Some children entered a dirt bike race. Sammi came in 12 minutes before Ali. Ali came in 9 minutes after Zack. Conner came in 4 minutes after Ali. Zack finished in 38 minutes. How many minutes did it take for Sammi to finish the race?
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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I need the answer for 'j" 2j + 5 = 3 + 2j + 2
Answer:
15gm
Step-by-step explanation:
because 5x3 is 15
Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.
40,000
36,000
9,000
7200
3,600
30,000
16,200
300
3,000
Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows
Credit sales at branch
Office expenses by Head office
Cash remittance to branch for petty cash Stock 31.12.2018
Goods sent to Branch
Salaries paid by head office
Debtors 31.12.2018
Petty cash on 31.12.2018
Cash sales at branch
of
The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:
Branch of Santosh & Co. Chennai
Income StatementFor the year ended December 31, 2018
Sales revenue $40,300
Cost of goods sold 4,200
Gross profit $36,100
Expenses:
Office expenses $36,000
Salaries 3,600
Total expenses $39,600
Loss $3,500
What is an income statement?An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.
The profit or loss is the difference between the total revenue and the total expenses for the accounting period.
Credit sales at branch 40,000
Office expenses by Head office 36,000
Cash remittance to branch for petty cash 9,000
Goods sent to Branch 7,200
Salaries paid by head office 3,600
Debtors 31.12.2018 30,000
Petty cash on 31.12.2018 16,200
Cash sales at branch 300
Stock of 31.12.2018 3,000
Sales revenue $40,300 ($40,000 + $300)
Cost of goods sold $4,200 ($7,200 - $3,000)
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A bakery did a survey among 100 customers to
find their food preferences. The customers were asked about their preferences for cupcakes
or brownies. Out of the total 72 people who liked cupcakes, 37 also liked brownies. There were 59 people who liked brownies.
Part A: Summarize the data by writing the values that the letters A to l in the table below represent.
Part B: What percentage of the survey respondents did not like either cupcakes or brownies?
Part C: Do the survey results reveal a greater dislike for brownies or cupcakes? Justify your answer.
Answer:
Answer:
put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle
For the ppl who can click on brainly:
Part A:
Like Cupcakes
Do Not Like Cupcakes
Total
Like Brownies
37
22
59
Do Not Like Brownies
35
6
41
Total
72
28
100
Part b: 6
Part c: You really have to figure out how to word this 37- 72=35 35-41=6
hope it helps