ANSWER
The correct answer is D
EXPLANATION
The slope of the given line
[tex] =-\frac{1}{3}[/tex]
The line perpendicular to it has slope
[tex]=\frac{-1}{\frac{-1}{3}} =3[/tex]
If the line passes through
[tex](1,27)[/tex]
Then the equation is given by
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\Rightarrow y-27=3(x-1)[/tex]
[tex]\Rightarrow y=3x-3+27[/tex]
[tex]\Rightarrow y=3x+24[/tex]
Equation of the required line which is perpendicular to this line and passes through (1, 27) is y= 3x+24
The equation of the given line is y = -1/3x - 24
Comparing it with the standard form i.e y=mx+c
where 'm' is the slope of the line
and 'c' is the y-intercept of the line
we get 'm=-1/3' and 'c=-24'
Now if two lines are perpendicular the relation between their slopes 'm1' and 'm2' is given as
m1*m2=-1
Thus here m1=-1/3;
(-1/3)*m2=-1
m2=3
Therefore slope of any line perpendicular to y = -1/3x - 24 would be m2=3
Also given that the line passes through the point (1, 27)
Thus if a line having slope as 'm' and passing through the point (x1,y1) its equation is given as:
[tex]y-y_{1}=m(x-x_{1})[/tex]
here [tex](x1,y1)=(1,27)[/tex]
and [tex]m=3[/tex]
Thus required equation would be:
y-27 = 3*(x-1)
y-27 = 3x-3
y = 3x-3+27
y= 3x+24
Struggling with an assignment that requires finding the probability of compound events. Can anyone please explain how to find it? Thank you!
Answer:
4/9 probability
Step-by-step explanation:
Imagine winning something, there's 3 possible prizes that you get to choose from and get to keep let's say 4 days? These all written on the paper that you must pull from a box.
Your three prizes are
D1 D2 D3 D4
1. a car
2. a bike
3. skateboard.
Now if you can imagine a grid and you mark 1 dot in each day we'll end up with 12 slots total.
Let's say you don't want a skateboard you rather have a car or a bike. We need to figure out of the 12 possibility (assuming all are equal) What's the possibility of you pulling out anything BUT a skateboard?
You want at least 3 days in either or. So we must find P = (Days without skateboard)
We know it's all equal outcomes, you're going to get 1 day of that 1 item.. soo..
p (DWS) = _____
12 outcomes
Now you want how many days MORE THAN 3, can you use anything but the skateboard?
You have 3 & 4 days with a car...
You have 3 or 4 days with a bike.. Which gives us 4 of the days we do want!
Giving your final problem the looking like this .. P(DWS) = 4/9
In respects/C to KhanAcademy.
Answer:
4/9 probrabitaty
Step-by-step explanation:
5.4 trillion gallons of water can supply six months of supply for 100 million households, how many househods
please write the complete question for answer
What is the 24th term of the arithmetic sequence where a1 = 8 and a9 = 56?
Answer:
[tex]a_{24}=146[/tex]
Step-by-step explanation:
The formula of a nth term of n arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
--------------------------------------
[tex]a_m=a_1+(m-1)d\\\\a_m-a_n=(a_1+(m-1)d)-(a_1+(n-1)d)\\\\=a_1+(m-1)d-a_1-(n-1)d=(m-1)d-(n-1)d=(m-1-n+1)d=(m-n)d[/tex]
Therefore
[tex]a_9-a_1=(9-1)d=8d[/tex]
[tex]8d=56-8\\8d=48\qquad|:8\\d=6[/tex]
Substitute:
[tex]a_1=8,\ d=6,\ n=24\\\\a_{24}=8+(24-1)(6)=8+(23)(6)=8+138=146[/tex]
Train A leaves Westtown and travels at 50 mph toward Smithville, 330 miles away. At the same time, Train B leaves Smithville and travels at 60 mph toward Westtown. After how many hours do the two trains meet? Enter your answer in the box.
Answer: Hello mate!
first, let's do a list with all the things we know about this problem:
Both trains depart at the same time; we can define this time as t = 0 in hours.
the velocity of train A is 50mph
the velocity of train B is 60mph
both trains travel in opposite directions.
the initial distance between both trains is equal to 330 miles:
we want to know when the trains will meet each other:
The trains will meet each other when the sum of their traveled distance is equal to the initial separation between them.
the distance traveled by the train A is equal to his velocity multiplied by the time that passed since it departed.
this is: Da(t) = (50*t)mi
and the distance for the train B is: Db(t) = (60*t)mi
then, as we know, the trains will meet when Da(t) + Db(t) = 330mi
then 50*t + 60*t = 330
110*t = 330
t = 330/110 = 3h
the trains will meet 3 hours after they departed.
Perform the indicated operations: (2/x-2)+(x/x+9)-(x+20/x^2+7x-18)
Answer:
b second option
Step-by-step explanation:
just did on edge
Answer:
B
Step-by-step explanation:
Just did it
Vista company inc. Had a beginning inventory of 100 units of product RST at a cost of $8 per unit. During the year, purchases were. Determine the cost of goods available for sale
a) The cost of goods available for sale is $16,800.
b) The calculated values for the cost of goods sold under the FIFO and LIFO methods match the values obtained using the formulas, proving their accuracy.
(a) Beginning Inventory:
100 units at $8 per unit = $800
Purchases:
Feb. 20:
600 units at $9 per unit
= $5,400
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 400 units at $11 per unit
= $4,400
Dec. 8: 100 units at $12 per unit
= $1,200
Total Cost of Goods Available for Sale
= $800 + $5,400 + $5,000 + $4,400 + $1,200
= $16,800
Therefore, the cost of goods is $16,800.
(b) Given the sales of 1,500 units,
FIFO (First-In, First-Out):
The ending inventory consists of the most recent purchases.
Ending Inventory (FIFO):
Dec. 8: 100 units at $12 per unit
= $1,200
Cost of Goods Sold (FIFO):
Beginning Inventory: 100 units at $8 per unit = $800
Feb. 20: 600 units at $9 per unit
= $5,400
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 200 units at $11 per unit
= $2,200
Total Cost of Goods Sold (FIFO):
$800 + $5,400 + $5,000 + $2,200
= $13,400
LIFO (Last-In, First-Out):
Ending Inventory (LIFO):
Beginning Inventory: 100 units at $8 per unit = $800
Feb. 20: 400 units at $9 per unit = $3,600
Cost of Goods Sold (LIFO):
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 400 units at $11 per unit
= $4,400
Dec. 8: 100 units at $12 per unit
= $1,200
Total Cost of Goods Sold (LIFO):
= $5,000 + $4,400 + $1,200
= $10,600
Average-Cost:
Total Cost of Goods Available for Sale: $16,800
Total Units Available for Sale:
Beginning Inventory: 100 units
Feb. 20: 600 units
May 5: 500 units
Aug. 12: 400 units
Dec. 8: 100 units
Total Units Available for Sale:
= 100 + 600 + 500 + 400 + 100
= 1,700 units
Average Unit Cost:
= Total Cost of Goods Available for Sale / Total Units Available for Sale
= $16,800 / 1,700 units
= $9.882 per unit
Ending Inventory:
Remaining Units: 1,700 units - 1,500 units (sold)
= 200 units
Ending Inventory = Remaining Units x Average Unit Cost
= 200 units x $9.882
= $1,976.40
Cost of Goods Sold (Average-Cost):
Total Cost of Goods Available for Sale - Ending Inventory
$16,800 - $1,976.40 ≈ $14,823.60
Therefore, under the average-cost method:
Ending Inventory ≈ $1,976.40
Cost of Goods Sold ≈ $14,823.60
Compare the calculated values with the cost of goods sold formulas.
FIFO Cost of Goods Sold:
Beginning Inventory: 100 units at $8 per unit
= $800
Feb. 20: 600 units at $9 per unit
= $5,400
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 200 units at $11 per unit
= $2,200
Total Cost of Goods Sold (FIFO):
= $800 + $5,400 + $5,000 + $2,200
= $13,400
LIFO Cost of Goods Sold:
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 400 units at $11 per unit
= $4,400
Dec. 8: 100 units at $12 per unit
= $1,200
Total Cost of Goods Sold (LIFO):
= $5,000 + $4,400 + $1,200
= $10,600
The match the values obtained using the formulas, proving their accuracy.
Learn more about average cost here:
brainly.com/question/29306232
#SPJ6
The question attached here seems to be incomplete, the complete question is:
Vista Company Inc. had a beginning inventory of 100 units of Product RST at a cost of $8 per unit. During the year, purchases were:
Feb. 20 600 units at $9
Aug. 12 400 units at $11
May 5 500 units at $10
Dec. 8 100 units at $12
Vista Company uses a periodic inventory system. Sales totaled 1,500 units.
Instructions
(a) Determine the cost of goods available for sale.
(b) Determine the ending inventory and the cost of goods sold under each of the assumed cost flow methods (FIFO, LIFO, and average-cost). Prove the accuracy of the cost of goods sold under the FIFO and LIFO methods. (Round average unit cost to three decimal places.)
To find the total variable cost for 6 jackets, calculate the average variable cost per jacket from the 7 jackets and multiply by 6. Other given economic scenarios involve calculating firm profits, break-even points, and shutdown points based on provided cost structures and market conditions.
The question relates to determining the total variable cost of 6 jackets, based on the given information that 7 jackets have a total variable cost of $300. Without specific details on how the costs change with each additional jacket, a direct calculation is not possible. However, if we assume that the variable cost per jacket is consistent, we can calculate the average variable cost per jacket by dividing the total variable cost for 7 jackets by 7, which is roughly $42.86. We would then multiply this average variable cost by 6 to find the total variable cost for 6 jackets.
For the firm with a total fixed cost of $1,000, a total cost of $4,200, and an output of 500 units, the total variable cost is $3,200. Similarly, for the firm with a total fixed cost of $1,200, a total cost of $4,000, and an output of 1,000 units, the total variable cost is $2,800. This information helps to determine the firm's break-even and shutdown price points.
A furniture company currently produces 7500 chairs per month if production decreases 5% find the amount of decreases and the new number of chairs produced each month
The new number of chairs produced per month is 7125
To find the amount of decrease:
Calculate 5% of 7500 chairs: 7500 x 0.05 = 375.
The decrease is 375 chairs.
To find the new number of chairs produced:
Subtract the decrease from the original amount: 7500 - 375 = 7125.
The new number of chairs produced per month is 7125
There are 12 people in maggies book club if 18 muffing are divided evenly among each person, how much muffin would each person get?
Ashley has sold 70% of the 20 candy bars she is suppose to sell how many candy bars does she have left
She has sold 70% of 20
= 0.70 * 20
= 14 candy bars.
So she has 20 - 14 = 6 candy bars left
The ratio of side lengths of square a to square b is 2 : 3. The perimeter of square a is 16 inches. What is the area of square b?
if the ratio of sides is 2:3, the ratio of the perimeters will be the same
2 16
------- = ---------
3 P
Using cross product 2*P = 3*16
2P = 48
P = 24 inches
What is the value of the 5 in 9,9009,121.15
The value of 5 is hundredths
Which graph represents the inequality y > 3 − x ?
To solve this problem you must think in this way.
First we see that function y is greater than 3-x, conclusion is the following
shaded area must be above function. That condition is satisfied by the graph 3 and 4.
Then we write inequality in the slope form y> -x+3.
We see that the coefficient of direction is -1 (negative) which mean that the graph is decreasing. That condition is satisfied by the graph No 4.
The correct answer is graph number 4 ( or D.)
Good luck!!!
Factor the expression over the complex numbers.
[tex] x^{2} +18[/tex]
Here we are given the expression:
[tex]x^{2}+18[/tex]
Now let us equate it to zero to find x first,
[tex]x^{2}+18=0[/tex]
Now subtracting 18 from the other side,
[tex]x^{2}=-18[/tex]
taking square root on both sides,
So we will get two values of x as ,
[tex]x=3\sqrt{-2}[/tex]
[tex]x=-3\sqrt{-2}[/tex]
Now we can write square root -1 as i,
So our factors become,
[tex]x=3i\sqrt{2}[/tex]
[tex]x=-3i\sqrt{2}[/tex]
Answer:
The final factored form becomes,
[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]
Answer:
[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]
Step-by-step explanation:
1. You must apply the Quadratic formula, which is:
[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]
2. Substitute values:
[tex]a=1\\b=0\\c=18[/tex]
[tex]x=\frac{-0+/-\sqrt{0^{2}-4(1)(18)} }{2(1)}\\x=\frac{+/-\sqrt{-72}}{2}\\x=\frac{+/-6i\sqrt{2}}{2}\\x=+/-3i\sqrt{2}[/tex]
3. Finally, you obtain:
[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]
plzzz help
2.-A line has an x-intercept of (4, 0) and a y-intercept of (0, 12). Find the slope of the line.
________________________________________
3.-A horizontal line includes the points (0, -5 ) and ( 2, -5 ) Find the slope of the line.
Answer:
A.(0, –5)
Step-by-step explanation:
Write the equation of the line parallel to the given line and passing through the given point.
y = 6 through (3,4)
y = 6 it a horizontal line. The line parallel to horizontal line is horizontal line with the equation y = a.
The line passing through the point (3, 4) → y = 4.
Therefore your answer is : y = 4.
Answer:
y = 4.
Step-by-step explanation:
I checked :)
Help!!!
Please help my little sister understand this question.
Answer,
-17.1Explanation,
All they are asking you to do is input the numbers, "2.5" & "-14.6" into the eqation.
So, let's do that.
-2.5 - |-14.6|
Now, all you have to do is simplify,
-2.5 - |-14.6| = -17.1
Hope this helps :-)
Solve 24>−3r≥−9. please help
[tex]24 > -3r\geq-9\ \ \ \ |\text{change the signs}\\\\-24 < 3r\leq9\ \ \ \ |\text{divide both sides by 3}\\\\\boxed{-8 < r\leq3}[/tex]
Inequalities are used to represent unequal expressions.
The solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]
Given
[tex]24>-3r \ge -9[/tex]
Divide through by -3
[tex]\frac{24}{-3}>\frac{-3r}{-2} \ge \frac{-9}{-3}[/tex]
Negative division changes the inequality sign
So, we have:
[tex]-8<r \le 3[/tex]
Hence, the solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]
See attachment for the graph of [tex]-8<r \le 3[/tex]
Read more about inequalities at:
https://brainly.com/question/15137133
How long will it take you to drive 120 miles at a speed of 15 per hours
All we have to do is divide 120 by 15
120 ÷ 15 = 8
Therefore, it will take 8 hours to drive 120 miles at a speed of 15 mph
Hope this helps
-AaronWiseIsBae
15miles = 60minutes
divide 15 by 120 which equals 8
8 times 60 equals 480
your answer should be 8 hours
you can find the midpoint of a line segment using paper folding constructions
A.True
B.False
The answer should be true
Hope it helps
The midpoint of a line segment using paper folding constructions yes it is true.
What are paper folding constructions?Comparable to mirroring one side of a plane in a crease, folding paper. So, to fold is to map one half of a plane onto another while also creating a crease.
The steps used to create a mid-point are given below:-
1. The top of the paper lies in itself; hence, we can say that the line segment lies in itself.
2. You have a new line at the centre of the paper. The point at the top of this centre line is the midpoint of the line segment.
3. The edges that lie on each other translate to the endpoints lying on each other.
Therefore, the midpoint of a line segment using paper folding constructions yes it is true.
To know more about paper folding constructions follow
https://brainly.com/question/2762362
#SPJ5
f(x)=2/3x+3
What is the value of f(12)?
[tex]f(x)=\dfrac{2}{3}x+3\\\\f(12)\to\text{put x = 12 to the equation of a function}\\\\f(12)=\dfrac{2}{3}\cdot12+3=\dfrac{2}{1}\cdot4+3=8+3=11\\\\Answer:\ f(12)=11[/tex]
Answer:
11
Step-by-step explanation:
What is the value of x in the equation 2x + 9 = 21? (4 points)
2
6
9
15
2.
What is the value of z in the equation 5(2z + 4) = 0? (4 points)
-2
0
2
20
3.
What is the value of c in the equation 2c + 5(c – 5) = 10? (4 points)
0
2
5
10
4.
An equation is shown below:
3(4x + 5) = 12
Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Step 1: 12x + 15 = 12
Step 2: 12x = –3
Step 1: 12x + 5 = 12
Step 2: 12x = 7
Step 1: 7x + 5 = 12
Step 2: 7x = 7
Step 1: 7x + 8 = 12
Step 2: 7x = 4
5.
How many solutions can be found for the equation 3y + 5 – 2y = 11? (4 points)
Zero
One
Two
Infinitely many
answer=2x=12,x=6
2z+4=0,z=-2
Answer: answer=2x=12,x=6
2z+4=0,z=-2
Step-by-step explanation:
Lily's car has a fuel efficiency of 888 liters per 100 kilometers.
What is the fuel efficiency of Lily's car in kilometers per liter?
Answer:
12.5
Step-by-step explanation:
4 gallons of shampoo will last 3 weeks and 7 gallons of shampoo how munch more does for 12 weeks
The length of rectangular field is twice its breadth.If the perimeter of the field is 228,find the dimensions of the field
We have the equations: l = 2b and 2l + 2b = 228;
Then, 4b + 2b = 228;
6b = 228;
b = 228/6;
b = 38 (breadth);
l = 2·38;
l = 76 (length);
The following data show the number of candies in 15 different bags.
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48
Represent the data set on a dot plot.
A.
B.
C.
D.
Answer:
Im pretty sure its c
Step-by-step explanation:
Answer with explanation:
The data points in the question are given by:
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48
On making a table of these data values based on the frequency of these points i.e. the number of times they appear in the data.
Points Frequency
35 2
36 1
37 1
38 1
39 1
40 1
43 2
45 1
46 1
48 3
50 1
Hence, the dot plot will be a horizontal line such that the number are at a increment of 1 starting from 35 and shows up to 50.
This means that there are 1 dots over: 36,37,38,39,40,45,46 and 50.
2 dots over 35 and 43.
and 3 dots over 48.
The correct dot plot is attached to the answer.
In what diffrent ways can 440 be written as the product of two positve integers
440 = 1 x 2 x 2 x 2 x 5 x 11
(1): 1 x 440
(2): 2 x 220
(2 x 2): 4 x 110
(5): 5 x 88
(2x2x2): 8 x 55
(2 x 5): 10 x 44
(11): 11 x 40
(2x2x5): 20 x 22
No need to continue because the next number is 2 x 11 = 22 and we already have that on the right side, so we have found all of the multiplicative pairs of 440.
What is the definition of a statistic?
A. a numerical measurement describing some characteristic of a population
B. a numerical measurement describing some characteristic of a sample
C. the complete collection of all individuals to be studied
D. a subcollection of members selected from a population
Here we have to find which of the following options is correct definition of statistic.
Statistic can be defined as numerical measurement describing some characteristic of a SAMPLE
So we can say that out of the four options, option B. a numerical measurement describing some characteristic of a sample represents the definition of statistic exactly.
Answer: B. a numerical measurement describing some characteristic of a sample
A statistic is a numerical measurement describing some characteristic of a population or a sample.
Explanation:The definition of a statistic is a numerical measurement describing some characteristic of a population or a sample. In option A, a statistic is described as a numerical measurement describing some characteristic of a population, while in option B, it is described as a numerical measurement describing some characteristic of a sample. Option C refers to the population itself, which is the complete collection of all individuals to be studied. Option D describes a sample, which is a subcollection of members selected from a population.
Learn more about Statistic here:https://brainly.com/question/31538429
#SPJ6
Andy told Lena that he spent $16.33 on 4.6 pounds of ground beef at the grocery store. How much will Lena spend if she needs 3 pounds of ground beef?A.$3.55B.$5.44C.$10.65D.$23.93
Total amount spent on 4.6 pounds of ground beef = $16.33
We have to determine the amount spend on 3 pounds of ground beef.
We will use unitary method to solve this problem.
So, amount spent on 1 pound of ground beef = [tex]$16.33 \div 4.6[/tex]
= $3.55
So, amount earned on 3 pounds of ground beef = [tex]3 \times $3.55[/tex]
= $10.65
Therefore, Lena will spend $10.65 on 3 pounds of ground beef.
So, Option C is the correct answer.
To determine Lena's expense for 3 pounds of ground beef, the cost per pound is calculated as $3.55, resulting in a total cost of $10.65.
To calculate how much Lena will spend for 3 pounds of ground beef, we first need to determine the price per pound that Andy paid. Andy spent $16.33 for 4.6 pounds of ground beef, so we divide the total cost by the number of pounds to find the price per pound:
Price per pound = $16.33 / 4.6 pounds = $3.55 per pound
Lena needs 3 pounds of ground beef, so we multiply the price per pound by the number of pounds Lena needs:
Cost for Lena = $3.55 per pound × 3 pounds = $10.65
Therefore, Lena will spend $10.65 for 3 pounds of ground beef, which corresponds to option C.
Please help asap 25 pts
[tex]8x > -32\qquad|\text{divide both sides by 8}\\\\x > -4\\-----------------------------------\\\\6x\leq-48\qquad|\text{divide both sides by 6}\\\\x\leq-8\\\\Answer:\ c)\ x > -4\ or\ x\leq-8[/tex]
Simplify the polynomial expression. 3x(-2x+7)-5(x-1)(4x-3)
A.
14x^2-14x+15
B.
-26x^2+21x-15
C.
-26x^2+56x-15
D.
-2x^2+14x-2
The answer is c. have a good day
To simplify the given polynomial expression, distribute coefficients to terms within each parentheses, combine like terms, and simplify further to obtain the simplified form of the expression: 14x^2 - 14x - 15.
Explanation:To simplify the given polynomial expression, we'll start by distributing the coefficients to the terms within each parentheses:
Now, we'll combine like terms and simplify further:
Therefore, the simplified form of the given polynomial expression is 14x^2 - 14x - 15.
Learn more about Simplifying polynomial expressions here:https://brainly.com/question/28892895
#SPJ3