Answer:
area=l*b
10*8
80#
Step-by-step explanation:
hope you like it
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation?
Answer: 1560 = 30(52) + b
Step-by-step explanation:
Based on the information given in the question, the straight line passes through two points which are (40, 1200) and (52, 1560). Then, the equation if the straight line will be:
y - 1560 = (1200 - 1560)/(40 - 52) (x - 52)
y - 1560 = (-360)/(-12) (x - 52)
y - 1560 = 30(x - 52)
Lets put the value of x to be 0.
y - 1560 = 30(x - 52)
y - 1560 = 30(0 - 52)
y - 1560 = -30(52)
Therefore, 1560 = 30(52) + b
write the equation for the circle graphed below.
Answer:
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The equation of the circle
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex](h,k) \to center[/tex]
[tex]r \to radius[/tex]
From the attached graph,
[tex](h,k) = (1,-1)[/tex]
[tex]r = 0.5[/tex]
So, we have:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). These data are also available for download at the online study center.
X 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1
Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0
X 15.4 16.2 15.0 17.2 16.0 17.0 14.4
Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3
Required:
a. Draw a scatter diagram displaying the data.
b. Find X- bar, Y- bar, a and b. Then find the equation of the least squares line y=a+bx.
c. Graph the least squares line on your scatter diagram. Be sure to use the point ( X-bar, Y- bar) as one of the points on the line.
Answer:
a) attached below
b) X - bar = 16.65
Y - bar = 80.04
y = 25.26 + 3.29 ( X )
c) attached in diagram below
Step-by-step explanation:
n = 15
∑ x = 20.0 + 16.0 + 19.8 + 18.4 + 17.1 + 15.5 + 14.7 + 17.1 + 15.4 + 16.2 + 15.0 + 17.2 + 16.0 + 17.0 + 14.4 = 249.8
∑ y = 88.6 + 71.6 + 93.3 + 84.3 + 80.6 + 75.2 + 69.7 + 82.0 + 69.4 + 83.3 + 79.6 + 82.6 + 80.6 + 83.5 + 76.3 = 1200.6
∑ xy = ( 20 * 88.6 ) + ( 16 *71.6 ) + ( 19.8 * 93.3 ) + ( 18.4 * 84.3 ) + ( 17.1 * 80.6 ) + (15.5 * 75.2 ) + ( 14.7 * 69.7 ) + ( 17.1 * 82.0 ) + ( 15.4 * 69.4 ) + ( 16.2 * 83.3 ) + ( 15 *79.6 ) + ( 17.2 * 82.6 ) + ( 16 * 80.6 ) + ( 17 * 83.5 ) + ( 14.4 * 76.3 )
= 20127.47
∑x^2 = 20.0^2 + 16^2 + 19.8^2 + 18.4^2 + 17.1^2 + 15.5^2 + 14.7^2 + 17.1^2 + 15.4^2 + 16.2^2 + 15.0^2 + 17.2^2 + 16.0^2 + 17.0^2 + 14.4^2
= 4200.56
∑ y^2 = 88.6^2 + 71.6^2 + 93.3^2 + 84.3^2 + 80.6^2 + 75.2^2 + 69.7^2 + 82.0 ^2 + 69.4^2 + 83.3^2 + 79.6^2 + 82.6^2 + 80.6^2 + 83.5^2 + 76.3^2
= 96725.86
a) Scatter diagram showing given data
Attached below
B)
X - bar = ∑x / n = 249.8 / 15 = 16.65
Y - bar = ∑y / n = 1200.6 / 15 = 80.04
where: Y = Temperature and X = Chirps per seconds
b = [ n ∑ xy - ( ∑x ∑y ) ] / [ n∑x^2 - ( ∑x )^2 ]
= [ 15 * 20127.47 - ( 249.8 * 1200.6 )] / [15* 4200.56 - ( 249.8 )^2 ]
= 2002.17 / 608.36 = 3.29
a = Y-bar - b( X-bar )
= 80.04 - 3.29( 16.65) = 25.26
equation for least squares line
y = 25.26 + 3.29 ( X )
C) Graph the least squares line on scattered diagram
attached below
Which theorem can be used to show that AJKL - AMNP?
Answer:
C. ASA Similarity
Step-by-step explanation:
Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.
An equation is shown below:
8x + 2(x – 7) = 7x + 3x – 14
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
Jon Deposits $14,500 into an account paying 5% annual interest compounded quarterly and Sara deposits $16,250 into an account paying 4% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Jon:
Initial investment (PV)= $14,500
Interest rate (i)= 0.05/4= 0.0125
Number of periods (n)= 4 quarters
Sara:
Initial investment (PV)= $16,250
Interest rate (i)= 0.04/365= 0.00011
Number of periods (n)= 365 days
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+ i)^n
Jon:
FV= 14,500*(1.0125^4)
FV= $15,238.71
Sara:
FV= 16,250*(1.00011^365)
FV= $16,915.67
Sara will have $1,676.96 more than Jon.
What is EG? Round to the nearest tenth if necessary.
Answer:
26.
Step-by-step explanation:
As the vertex angles are equal:
24/54 = x / x+10
54x = 24x + 240
30x = 240
x = 8
So EG = x + x + 10
= 8 + 8 + 10
= 26..
is (0,0) a solution to this system
is (0,0) a solution to what system?
There was 1\3of a box of cereal left. Four brothers shared it evenly. How much of the original box of cereal did each brother get?
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Answer:
1/12 box
Step-by-step explanation:
Each brother gets 1/4 of the remaining 1/3 box, so ...
(1/4)(1/3 box) = 1/(4·3) box = 1/12 box
Each brother gets 1/12 of the original box.
Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
Step-by-step explanation:
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––
find the ratio of volumes of two cuboids whose sides are in the ratio 3/1
Answer:
The ratio of volumes is of 27.
Step-by-step explanation:
Volume of a cuboid:
A cuboid has dimensions length l, width w and height h. The volume is given by:
[tex]V = lwh[/tex]
Multiplying dimensions by 3:
This means that l = 3l, w = 3w, h = 3h. So
[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]
Ratio of volumes:
[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]
The ratio of volumes is of 27.
How many students were questioned about the approximate number of text messages they send each day? Explain or
show how you arrived at your answer.
To make a newspaper with 60 pages you need 15 sheets of paper which are on top of each other. Then they are folded together. Page 7 is missing. Which other pages are missing in this newspaper?
Answer: here’s your answer
Step-by-step explanation:
pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53
A right triangle (90) has a one angle that measures 35 degrees. What is the measure of the third angle?
A. 90 degrees
B. 145 degrees
C. 55 degrees
D. 180 degrees
Answer:
55°
Step-by-step explanation:
triangle= 180°
third angle= 180-90-35
= 55°
The area of the rectangle window is4779 cm to the second power if the length of the window is 81 cm what is the width
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Answer:
59 cm
Step-by-step explanation:
The area is the product of length and width. Using the given numbers, we have ...
A = LW
4779 cm² = (81 cm)W
W = (4779 cm²)/(81 cm) = 59 cm
The width of the window is 59 cm.
define gender based violence
Answer:
Step-by-step explanation:
Elder abuse is any action that causes harm or distress to an older person. ...
Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...
Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.
résoudre l'équation. 2(x-2)=3x+3(2x+1)
Answer:
Step-by-step explanation:
2(x-2)=3x+3(2x+1)
2x-4=3x+6x+3
2x-4=9x+3
2x-9x=3+4
-7x=7
x=7/-7
x=-1
y is directly proportional to the positive square root of( x+2)² when x = 8 y= 250 find y when x = 4
Answer:
150
Step-by-step explanation:
Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that
y=ksqrt((x+2)^2)
We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.
250=ksqrt((8+2)^2)
250=ksqrt((10)^2)
250=k10
250/10=k
25=k
So for any pair (x,y) we have the relation y=25((x+2)^2).
We are asked to find y when x=4.
y=25((4+2))^2
y=25(6)
y=150
Test to see if y is proportional to sqrt((x+2)^2)
For the given points: 250/150=10/6
The equation is true so we're great.
g A radio station’s poll found that 68% of the respondents in a random sample of listeners plan to see a live music show in the next month. A 95% confidence interval for the population proportion was 0.68 ± 0.04. What is the correct interpretation of the 95% confidence interval? We can be 95% confident that 68% of all listeners will see a live music show in the next month. There is a 95% probability that between 64% and 72% of the listeners will see a live music show in the next month. There is a 5% chance that less than 64% or more than 72% of listeners will see a live music show in the next month. We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%. If we repeatedly took samples of the same size from listeners of this radio station, approximately 95% of those samples would have between 64% and 72% of the sample going to see a live music show in the next month.
Answer:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
A 95% confidence interval for the population proportion was 0.68 ± 0.04.
We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.
Thus, the correct answer is:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.
What shape is the Base of this Prism?
Answer:
a rectangle
Step-by-step explanation:
find the value from the given photo
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2x-3y}{2x+3y}[/tex] ← factor out y from each term on numerator/ denominator
= [tex]\frac{y(2\frac{x}{y} -3)}{y(2\frac{x}{y} +3)}[/tex]
= [tex]\frac{2(\frac{3}{4})-3 }{2(\frac{3}{4})+3 }[/tex]
= [tex]\frac{\frac{3}{2}-3 }{\frac{3}{2}+3 }[/tex]
= [tex]\frac{-\frac{3}{2} }{\frac{9}{2} }[/tex]
= - [tex]\frac{3}{2}[/tex] × [tex]\frac{2}{9}[/tex]
= - [tex]\frac{3}{9}[/tex]
= - [tex]\frac{1}{3}[/tex]
The area of a triangle is 14 square inches, and the triangle's height is 7 inches. Use the formula A = bh, where A is area, b is
base, and h is height, to find the length of the base of the triangle.
•49 inches
•1 inch
•2 inches
•4 inches
length of base is2 inches:
Answer:
Solution given:
According to the questionArea of triangle=14 square inches
bh=14
7*b=14
b=14/7
b=2
length of base is2 inches:
if
A=½bh
then
Area of triangle=14 square inches
½bh=14
½*7*b=14
b=14*2/7
b=4 inches
the length of the base of the triangle is 4inches.
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
What is mean by Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
The area of a triangle = 14 square inches
Height of a triangle = 7 inches
Now,
The given formula for a triangle is;
⇒ A = bh
Where, A is the area, b is base and h is the height of the triangle.
Substitute all the values in above equation, we get;
⇒ A = bh
⇒ 14 = b x 7
Divide by 7, we get;
⇒ 14/7 = b
⇒ b = 2 inches.
Therefore,
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
Learn more about the triangle visit:
https://brainly.com/question/21735282
#SPJ2
a rectangle has a base of 10 and height of 12 what is its area
Answer:
120 units squared
Step-by-step explanation:
1
Abdullah tracked the scores of his Science tests this year.
93, 71, 86, 95, 72, 81, ?
He lost the score from his final test, but knows he had a mean score of 82.
Calculate his missing score.
76 O
Activate Windows
Go to Settings to activate Windows.
11:30 AM
5/31/2021
Desktop
4») GG ENG
O
10
Answer:
76
Step-by-step explanation:
Answer:
I believe the answer is 76
whats the answer. ill make this 20 pts
Answer:
B
Step-by-step explanation:
[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]
Given R=1/4 Q^2 solve for Q
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Answer:
Q = ±2√R
Step-by-step explanation:
Take the square root:
±√R = 1/2Q
Multiply by 2:
Q = ±2√R
1st Coordinate Point: (1.4)
2nd Coordinate Point: ( 6 , 6)
(X,Y,) =
(X,Y)=
M = (Y-Y.) =(X-X)
please help. giving brainliest. 10 points
Answer:
for B based on the information givin the answer would be 8 4/7
hope this helps
Answer:
60/7 or 8 4/7
Step-by-step explanation:
Take the length of one of your rods and multiply by 15.
4/7 x 15/1 = 60/7 or 8 4/7
The population of a city decreases by 3.1% per year. If this year's population is 142,000, what will next year's population be, to the nearest individual?
Answer:
100 - 3.1 = 96.9
142000 - 96.9 = 1410903.1
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
O A. -
B. -4
O c.
O D. 4
Please help
Answer:
Slope = 1/4
Step-by-step explanation:
[tex]slope = \frac{y2-y1}{x2-x1} \\m=\frac{3-2}{3--1} \\m=1/4[/tex]