Answer: y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
First we will find the slope, then we will find the y-intercept.
Slope is change in y over change in x:
[tex]\frac{-1-3}{2--1}=\frac{-4}{3}[/tex]
Now we will solve for the y-intercept:
y = [tex]\frac{-4}{3}[/tex]x + b
(-1) = [tex]\frac{-4}{3}[/tex](2) + b
-1 = [tex]\frac{-8}{3}[/tex] + b
[tex]\frac{5}{3}[/tex] = b
b = [tex]\frac{5}{3}[/tex]
Final equation:
y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]
Find the square root of 2937.44 by the arithmetic method
The square root of 2937.44 by the arithmetic method is 54.20.
What is the square root of the number?
The square root of a number can be described as the value derived when a number is divided into two equal halves. The square root of 64 is 8. This is because 8 multiplied by 8 is equal to 64. The sign used to represent square root is √.
√2937.44 = 54.20
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Find the interquartile range. 44, 75, 62, 41, 59, 60, 79, 44, 49
Answer:
24.5 is our interquartile range
Step-by-step explanation:
First, you need to order the data set from least to greatest:
41, 44, 44, 49, 59, 60, 62, 75, 79
We have a total of 9 numbers in the data set.
**Note: Our minimum is 41 and our maximum is 79, this is important**
Next, we need to find the median in order to get the numbers divided into groups to find quartiles 1 and 3 easily.
Our median is the middle number which is 59.
**If you have an even set, find the 2 numbers in the middle add them, then divide by 2.**
Our data set without the median:
Data set 1: 41, 44, 44, 49
Data set 2: 60, 62, 75, 79
Now find the median of data sets 1 and 2.
Data set 1: 44+44/2 -> 88/2 =44
Data set 2: 62+75/2 -> 137/2 = 68.5
Now that we have quartiles 1 and 3, we need to take 68.5 and subtract it by 44.
68.5 - 44 = 24.5
24.5 is our interquartile range
HELP ME!!!! please....
12.
If $4204 is invested at 4% per year simple interest for 7 years, at what simple interest rate r would it need to be
invested for 5 years to earn the same amount of interest? Express r as a percentage correct to 2 decimal places.
The answer to this question is in the picture which is 0.56% to 2dp
Answer:
5.60%
Step-by-step explanation:
We can use the formula for simple interest to solve this problem. The formula is:
[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]
Where:
SI is the simple interest earnedP is the principal amount investedR is the interest rateT is the time period in yearsIf $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:
[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]
In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:
[tex]1177.12=\frac{4204*5*r}{100}[/tex]
Doing Criss cross multiplication
[tex]r=\frac{1177.12*100}{4204*5}[/tex]
r=5.60 %
To two decimal places, the interest rate r is 5.60 %.
Please help!
Olivia's mom decided to wallpaper the living room. At the store, the wallpaper was selling for $11.68 for a roll with 100 linear feet. What is the price per linear foot of the wallpaper?
Please answer soon!
What is the median number of repairs per vehicle as shown in the box plot below?
Answer:
B, or 4
Step-by-step explanation:
Since the line in the middle of the box plot shows the median it tells us that the median is 4
Answer:
4
Step-by-step explanation:
because it is the middle number
) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:
n=20, x¯¯¯=63.8, s=2.84
≤μ≤
Answer:
ask MisterBrainly for help
Part 1 , i really need help if anyone have the items for these please help
Please help with this guys please I’d appreciate it
Answer:
annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52Step-by-step explanation:
The amount of an investment P compounded n times per year at annual rate r for t years is ...
A = P(1 +r/n)^(nt)
This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.
__
Continuously compounded interest results in an account balance computed using the formula ...
A = Pe^(rt) . . . . where the variables have the same definitions as above.
For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...
A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars
A rectangle is 4 ft long and 2 ft wide. find its area in square inches.
[tex]\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2[/tex]
Find the solutions to the equation below.
Check all that apply.
x^2 - 25 = 0
A. x = 1
B. x = 5
C. x = -1
D. x = -5
E. x = 3
F. x = -3
Answer:
B and D
Step-by-step explanation:
x² - 25 = 0
Add 25 to both sides:
⇒ x² -25 + 25 = 0 + 25
⇒ x² = 25
Square root both sides:
⇒ √x² = √25
⇒ x = ±5
Therefore:
x = 5, x = -5
So B and D are the solutions
If the probability of receiving a message on the internet today is 8/9, what is the probability of not receiving a message?
[Give the answer as a fraction in simplest form.]
Answer:
The probability is 1/9
Step-by-step explanation:
1 - 8/9 = 1/9
A company paid $203.00 for an item. The original price was $291.10, but this was marked down 40%. If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.
1. What is the operating loss?
2. What is the absolute loss?
Answer,:
Answer and Explanation: 1
1.
Calculation for operating loss is shown below:
Break-even point in dollars = Cost + Operating expenses
Break-even point in dollars = $208.40 + (36% * $208.40)
Break-even point in dollars = $208.40 + $ 75.024
Break-even point in dollars = $283.424
Reduced price = Original price - (Original price * Mark down)
Reduced price = $292.60 - ($292.60 * 40%)
Reduced price = $292.60 - $117.04
Reduced price = $175.56
Operating loss = Break-even point in dollars - Reduced price
Operating loss = $283.424 - $175.56
Operating loss = $107.864
2.
Calculation of absolute loss is shown below:
Absolute loss = Cost - Reduced price
Absolute loss = $208.40 - $175.56
Absolute loss = $32.84
brain less plss
THIS ANSWER IS CORRECT
I am confused can somebody help me
F ( - 5 ) =
Answer:
-5f
Step-by-step explanation:
Answer:
f(- 5) = 57
Step-by-step explanation:
substitute x = - 5 into f(x) , that is
f(- 5) = 3(- 5)² + 3(- 5) - 3
= 3(25) - 15 - 3
= 75 - 18
= 57
Please help. I need to get to 70%
Scale factor is 5
So
J'=5(1,-2)=(5,-10)K'=5(2,-1)=(10,-5)M'=5(0,-1)=(0,-5)L'=5(1,2)=(5,10)Answer:
Points of kite JKLM:
J = (1, -2)
K = (2, -1)
L = (1, 2)
M = (0, -1)
To dilate a figure about a point, draw a line from the point to each point of the figure, then extend (or reduce) the line so that it is the length of the original line multiplied by the scale factor.
So to dialate JKLM about the origin by scale factor of 5, draw a line from (0, 0) to each point of the kite. Extend the lines so that they are each 5 times the original lengths. These are the dilated points
Points of kite dilated by sf 5 (shown in blue on the attached diagram):
J' = (5, -10)
K' = (10, -5)
L' = (5, 10)
M' = (0, -5)
(3x10^-4)(5x10^8) in scientific notation
Answer:
[tex]15 \times {10}^{4} [/tex]
Step-by-step explanation:
[tex](3 \times {10}^{ - 4} )(5 \times {10}^{8} ) \\ \\ = 3 \times 5 \times {10}^{8 - 4} \\ \\ = 15 \times {10}^{4} [/tex]
10.If Zoe paints the outside faces of
her shed and tho roof. what is the
total surface area that she paints?
CA
A. 130 p2
B. 155 p2
C. 180 02
D. 205 pp
Step-by-step explanation:
Area of one side of the shed
5*4=20
she painted 4 sides so 20*4 =80
Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,
[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]
we need to find the square root of 18.75 to find the height of the triangle which is
[tex] \sqrt{18.75} = 4.330127019[/tex]
that is the height
(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8
[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]
this number gives us 43.30127019
we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702
Write an equation of the line that passes through (3, 1) and (0,10) .
y=
Answer:
Step-by-step explanation:
hello :
y = -3x+10
Nolan drew a pre-image of a trapezoid using a dashed line. Which shows an isometric transformation of his pre-
image??
Answer:
C
Step-by-step explanation:
i just guessed but it was correct
Select the equivalent expression.
(25-23)=?
Choose 1 answer:
28.29
a15 26
a8.26
a15 2²
Urgent please help
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A, B and C working together will finish same piece of work in 10 days
A can do a piece of work in 20 days. That is A is doing the work at a rate of 1 / 20. Therefore
B = 1 / 30
C = 1 / 60
A, B and C working togehter their rate will be added together =
A + B + C = 1 / 20 + 1 / 30 + 1 / 60 = 1 / 10
so they can work together to finish same piece of work in 10 days
Railway Cabooses just paid its annual dividend of $5.10 per share. The company has been reducing the dividends by 13 percent each year. How much are you willing to pay today to purchase stock in this company if your required rate of return is 15 percent?
Answer:
15.85
Explanation:
Po = D1 / (k-g)
Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate
Po = (5.10 (1-0.13)) / (0.15-(-0.13))
Po= 15.85
What I Know Write each as they would appear on a 24-hour digital clock. Morning Afternoon 1. Five minutes pass 8 2. Quarter of 12. 3. Six minutes to 10 4. Twenty minutes past 1 5. Twenty-five minutes to 9 6. Ten minutes to 3 7. Eighteen minutes pass 5 8. Fourteen minutes to 7 9. Half pass 1 10. Twelve minutes past 12
Step-by-step explanation:
1. 8:05
2. 12:45
3. 10:54
4. 1:20
5. 8:35
6. 2:50
7. 5:18
8. 7:44
9. 1:30
10. .12:12
Historians have commonly believed that paint used before the year 1500 did not contain copper. However, lab techniques have shown that copper is present in the paint of both the Mona Lisa painted by Leonardo da Vinci (1452-1519), a widely-renowned and timeless piece that is one of the most valuable pieces in the Louvre today, and in that of another painting known as the Sine Nomine, also from the same time period, whose painter is unknown—but not found in the paint of any other Renaissance painting analyzed. This is strong evidence that the Sine Nomine was painted by da Vinci, as well as evidence that the presence of copper in the paint of a recently resurfaced map by Fra Mauro, ostensibly from the year 1450, cannot be used as an argument against the map's authenticity.
The reasoning in the passage is vulnerable to criticism on the grounds that:
A) both the Sine Nomine and the Fra Mauro Map are objects that can be appreciated on their own merits whether or not the precise date of their creation or the identity of the person who made them is known
B) it is unreasonable to suppose that determination of the date and location of an art piece’s painting or drawing can be made solely on the basis of the presence or absence of a single element in the paint used in the document
C) the results of the analysis are interpreted as indicating that the use of copper as an ingredient in fifteenth-century paint both was, and was not, extremely restricted
D) the discovery of copper in the paint of the Fra Mauro Map must have occurred before copper was discovered in the paint of the Sine Nomine and Mona Lisa
E)if the technology that makes it possible to detect copper in paint has only recently become available, it is unlikely that cartographers or artists in the fifteenth century would know whether their paint contained copper or not
The reasoning in this text is vulnerable to criticism because works such as Sine Nomine and the map can be appreciated on their own (option A).
What is the reasoning behind this text?The author of this text explains copper has been found in the Mona Lisa painting by Da Vinci that dates back to 1450. This evidence is used to conclude a similar painting known as the Sine Nomine belongs to the same painting and that a similar map belongs to the same period.
What is the problem with this reasoning?The reasoning fails at considering each artwork is unique and can be appreciated on its own without jumping to conclusions about the period and author of them.
Learn more about reasoning in: https://brainly.com/question/11478756
A scale drawing of an American flag is 6 inches tall. The actual flag is 3 feet tall. What is the scale of the drawing?
Find the slope and y−intercept of the line in the graph. Express the answers as simplified fractions, if necessary.
The slope is m =
The y−intercept is b =
The slope is m = 3.5; and the y-intercept is b = -6
Determining slope and y-intercept of a LineFrom the question, we are to determine the slope and the y-intercept of the line.
The slope of a line can be determine by picking any two points on the line.
Then applying the formula,
[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
Where m is the slope
Picking the points (2,1) and (0,-6).
∴[tex]x_{1} = 2[/tex]
[tex]x_{2} = 0[/tex]
[tex]y_{1}=1[/tex]
[tex]y_{2}=-6[/tex]
Then, the slope of the line in the graph is
[tex]m = \frac{-6-1}{0-2}[/tex]
[tex]m =\frac{-7}{-2}[/tex]
m = 3.5
For the y-intercept
The y-intercept is the point where the graph intersects the y-axis
From the graph,
The point where the line intersects the y-axis is -6.
∴ y-intercept, b = -6
Hence, the slope is m = 3.5; and the y-intercept is b = -6
Lear more on determining slope and y-intercept here: https://brainly.com/question/1280589
for a standard distribution, which of the following variables always equals 0?
help help help help can u show some work its due tomorrow
Answer:
Process
Step-by-step explanation:
I won't give the answers but i will explain the process... You can combine variables if they are similar. Example if you have 3g+2-2g-5 you can combine the numbers with g - you would have a positive 3g and a nagative 2g, 3-2 is 1g or g.. Then you can combine the positive 2 and negative 5. I hope this helps!
What would the answer be ?
Answer: 7
Step-by-step explanation: there are 4 full circles so that equals 4. 1+1=2, 1/8+7/8=1. 4+2+1=7
See the diagram below.
The 7/8 and 1/8 combine to 8/8 = 1. So we add an extra pie to the original two full pies to get 3 total.
PLEASE ANSWER ASAP WILL GIVE brainliest TO THE FIRST CORRECT ANSWER
You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.
Answer:
I would reccomend the first option the path costs $6 per foot