Answers
Answer:
1/3
Step-by-step explanation:
F = 36
G = 4
We know that The area is multiplied by the scale factor squared
F * (SF) ^2 = G
36 (SF) ^2 = 4
Divide each side by 36
36/36 (SF) ^2 = 4/36
(SF) ^2 = 1/9
Take the square root of each side
sqrt((SF)^2) = sqrt(1/9)
SF = 1/3
The scale factor is 1/3
Related Questions
A mathematics teacher wanted to see the correlation between test scores and
homework. The homework grade (x) and test grade (y) are given in the accompanying
table. Write the linear regression equation that represents this set of data, rounding
all coefficients to the nearest hundredth. Using this equation, estimate the homework
grade, to the nearest integer, for a student with a test grade of 68.
Homework Grade (x) Test Grade (y)
X | Y
88 | 90
55 | 55
89 | 91
85 | 88
61 | 52
76 | 76
76 | 81
61 | 59
Answers
Answer:
The homework grade, to the nearest integer, for a student with a test grade of 68 is 69.
Step-by-step explanation:
The general form of the linear regression equation is:
[tex]y=a+bx[/tex]
Here,
y = dependent variable = test grade
x = independent variable = homework grade
a = intercept
b = slope
Compute the value of a and b as follows:
[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(592\times 44909)-(591\times45227)}{(8\times44909)-(591)^{2}}\\\\=-14.316[/tex] [tex]b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(8\times 45227)-(591\592)}{(8\times44909)-(591)^{2}}\\\\=1.195[/tex]
The linear regression equation that represents the set of data is:
[tex]y=-14.316+1.195x[/tex]
Compute the value of x for y = 68 as follows:
[tex]y=-14.316+1.195x[/tex]
[tex]68=-14.316+1.195x\\1.195x=68+14.316\\1.195x=82.316\\x=68.884\\x\approx 69[/tex]
Thus, the homework grade, to the nearest integer, for a student with a test grade of 68 is 69.
The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :
y = 1.20x - 14.32 Predicted, x = 69Using technology, the linear model can be obtained using either excel or a linear regression calculator.
Using a linear regression calculator which gives the linear equation in the form :
y = bx + cy = 1.20x - 14.32
y = Test grade ; x = homework grade Slope, b = 1.20 ; intercept, c = - 14.32Using the model equation obtained :
Test grade, y = 68Homework grade, xy = 1.20x - 14.32
68 = 1.20x - 14.32
68 + 14.32 = 1.20x
82.32 = 1.20x
x = (82.32 ÷ 1.20)
x = 68.6
x = 69 (nearest integer)
Therefore, the estimated homework grade for a test score of 68 is 69
Learn more : https://brainly.com/question/18405415
Which of the following is a strong base?
ethyl alcohol
ammonia
vinegar
O potassium hydroxide
Answers
Answer:
potassium hydroxide
Step-by-step explanation:
Answer:
Potassium hydroxide
Step-by-step explanation:
Kay leaves a $6 tip for a $40 bill. What percent tip did kay leave?
Answers
Answer:
15% tip
Step-by-step explanation:
6/40= 0.15= 15%
Answer:
15% tip.
Step-by-step explanation:
you can divide $6 by $40. this will give you .15 or 15%.
How many triangles can you make if you are given these three lengths for sides
Answers
Answer:
a lot of triangles
Step-by-step explanation:
hope this helps please give me brainiest
Answer:
In traditional power stations, the original energy source spins a turbine which connects to an electric generator. The generator converts mechanical energy into electrical energy. This working is based on which fundamental principle of physics?
A.
Newton’s law
B.
Ohm’s law
C.
Stoke’s law
D.
Faraday’s law
Step-by-step explanation:
there are 16 cookies and 4 friends. How many cookies will each friend will have?
Answers
what is −5x+2y=9
y=7x
Answers
Answer:
x=1, y= 7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation in for the first
-5x +2(7x) = 9
-5x + 14x = 9
Combine like terms
9x = 9
Divide by 9
9x/9 = 9/9
x =1
Now find y
y = 7(1)
y =7
Answer:
Step-by-step explanation:
-5x+2y=9
y=7x
Since you know what y is relative to x, you can plug it into the formula to find your answer.
-5x+2(7x)=9
14x-5x=9
x=1
y=7
What is the area and perimeter of the length is 1.5 m and a width being 0.25 m? Thank you if ur a helper!
Answers
Answer: The area is 0.375 and the perimeter is 3.5
Step-by-step explanation:
The formula to find the area of something is length x width. So you have to multiply 1.5 x 0.25 which equals 0.375.
The formula to find the perimeter of something is length + width + length + width. (basically you have to add up all of the sides). I'm assuming the shape is a rectangle which means 2 sides have a length of 1.5 and the other 2 sides have a width of 0.25. So that means you would have to add 1.5 + 1.5 + 0.25 + 0.25 which equals 3.5
Answer:
Below in bold.
Step-by-step explanation:
Perimeter = 2 * length + 2 * width
= 2*1.5 + 2*0.25
= 3 .5 m.
Area = length * width
= 1.5 * 0.25
= 0.375 m^2.
Question 1
A landscape architect is designing a pool that has this top view:
a. How much water will be needed to fill this pool 4 feet deep?
b. Before filling up the pool, it gets lined with a plastic liner. How much liner is needed for this pool?
Answers
Answer:
Water needed for pool = 486 cubic feet
Plastic liner required for the pool = 298.3 feet
Step-by-step explanation:
Top view of the pool is a composite figure, having one rectangle and a trapezoid.
1). Water needed for the pool = volume of the pool
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
Area of the trapezoid = [tex]\frac{1}{2}(b_{1}+b_{2})\times h[/tex]
= [tex]\frac{1}{2}(11+9)\times (12-1.5)[/tex]
= 105 ft²
Area of the rectangle = Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
Therefore, amount of water required = 486 cubic feet
liner needed = 298.3 square feet
a. Water needed for pool = 486 cubic feet.
b. Plastic liner required for the pool = 298.3 feet.
Calculation of water needed and plastic liner required:a.
Water needed for the pool = volume of the pool
Here
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
So,
Area of the trapezoid = 0.5 × (b1 + b2) × h
= 0.5 × (11 + 9 )(12 -1.5)
= 105 ft²
Now the area of the rectangle
= Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
Learn more about area here: https://brainly.com/question/23227575
1) Tanya is buying edging for a triangular flower garden she plans to build in her backyard. If the lengths of the three pieces of edging that she purchases are 13 feet, 10 feet, and 7 feet, will the flower garden be in the shape of a right triangle ?
Answers
Answer:
Converse of the Pythagorean Theorem
The Pythagorean Theorem states that if a triangle is a right triangle, then, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
That is, if a and b are legs and c is the hypotenuse, then
a2 + b2 = c2
The converse of the Pythagorean Theorem states that if a2 + b2 = c2, then the triangle is a right triangle.
Step-by-step explanation:
Answer:
The Flower Garden is not in the shape of a right Δ
Step-by-step explanation:
~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~
Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;
a^2 + b^2 = c^2,
10^2 + 7^2 = 13^2,
100 + 49 = 169,
149 ≠ 169,
So the Flower Garden will not be in the shape of a right Δ
Juan used algebraic properties to make an equivalent expression. He listed the properties in the order that he used them.
Step
Property Used
1
Associative
2
Distributive
3
Addition
Which steps match the properties used?
15 + 7 n minus 8 + 3n = 7 n + 3 n + 15 minus 8 = (7 + 3) n + 15 minus 8 = 10 n + 7
12 n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9
15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9
12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16
Answers
Answer:
c
Step-by-step explanation:
1)
15 + 7n - 8 + 3n = 7n + 3n + 15 - 8 = (7 + 3)n + 15 - 8 = 10 n + 7
Associative Property of Addition
2)
12n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9
Distributive Property of Equality
3)
15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9
Addition Property of Equality,
4)
12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16
Associative Property of Addition
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The property used is the Associative Property of Addition, which allows us to regroup the terms without changing their order.
We grouped the terms (7n + 3n) and (15 - 8) together as (7 + 3)n and simplified them to get 10n + 7.
The property used is the Distributive Property of Multiplication over Addition, which allows us to distribute a factor to each term inside a parenthesis.
We distributed 2 to (4n + 2) to get 8n + 4, and then combined like terms to get,
12n + 8n + 4 = 20n + 4.
The property used is the Addition Property of Equality, which allows us to add the same quantity to both sides of an equation without changing its value.
We added 9 to both sides of the equation to get 15n + (17n + 9) + 9 = 15n + 17n + 18, which simplifies to 22n + 9.
The property used is the Associative Property of Addition, which allows us to regroup the terms without changing their order.
We grouped the terms (12n + 7n) and (6) together as (12 + 7)n and (6), and simplified to get 19n + 6.
Therefore,
15 + 7n - 8 + 3n = 7n + 3n + 15 - 8 = (7 + 3)n + 15 - 8 = 10 n + 7
Associative Property of Addition
12n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9
Distributive Property of Equality
15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9
Addition Property of Equality,
12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16
Associative Property of Addition
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
Which of the following cannot be used to state a postulate?
A:defined terms
B:theorems
C:undefined terms
D:definitions
Answers
Answer:
Defined terms and Undefined terms
Step-by-step explanation:
A horse is shown in the scale drawing the height of the horse in the drawing is 4.5 inches the scale that maps the drawing to the actual horse is 1 inch to 1.5 feet using the scale giving enter the actual height of the horse in feet
Answers
Answer: 6.75 feet.
Step-by-step explanation: 4.5 x 1.5
Mary receives a $10,000 inheritance on her 21st birthday. She pays $500.00 a month for rent; owes
$9,000.00 on her car loan with an interest rate of 5%; and owes $50,000 in student loan debt with a fixed
interest rate of 3%. She has a Visa Card with a balance of $600 at 16% interest.
Which is the wisest choice for Mary?
A
Use it all to pay down the student loan deb
B
Put it all in a savings account that has an interest rate of 2%.
C
Use most of it to pay off the $600 credit card and
a
D
Use it all to pay rent in advance.
Answers
Answer:
C
Use most of it to pay off the $600 credit card and a
a
Step-by-step explanation:
Base on the scenario been described in the question, the wisest thing Mary should do after receiving $10,000 inheritance on her 21st birthday is to Use most of it to pay off the $600 credit card and Use it all to pay down the student loan debt
help now pleasee :)
Make a list, table or tree diagram to help represent all the possible outcomes of spinning the spinner and flipping a coin and answer the question.
What is the probability of spinning a 5 and flipping a coin that lands on heads?
110
15
25
17
Answers
Answer:
1/10 or 10%
Step-by-step explanation:
The possible outcomes are below
1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T
Since there are 10 possible outcomes, the probability of spinning a 5 and flipping a coin that lands on heads is 1/10 or 10%.
If this answer is correct, please make me Brainliest!
PLS HELP!!!!!
An initial population of 298 quail increases at an annual rate of 8%. Write an exponential function to model the quail population.
What will the approximate population be after 3 years?
Answers
Answer:
375 as the whole number and 375.4 as a decimal.
Step-by-step explanation:
number = 298(1.08)^n , where n is the number of years
so when n = 3
population = 298(1.08)^3 = appr 375
The approximate population be after 3 years is 375 as the whole number and 375.4 as a decimal.
Given that,
An initial population of 298 quail increases at an annual rate of 8%.Based on the above information, the calculation is as follows:
[tex]= 298(1.08)^n[/tex]
Here n is the number of years
n = 3
So,
[tex]= 298(1.08)^3[/tex]
= 375
Learn more: https://brainly.com/question/24908711?referrer=searchResults
Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!!!!
Answers
Answer:
h(n) = -2n -13
Step-by-step explanation:
m+1 = -2(n+6)
Distribute
m+1 = -2n-12
We want to solve for m, as we want a function of n
m +1-1 = -2n-12-1
m = -2n-13
h(n) = -2n -13
Assume that Sunday is represented as day 0, Monday is represented by day 1, and so on. If today is Monday (day 1), determine the day of the week it will be at the end of 155 days. Assume no leap years.
Answers
Answer:Wednesday
Step-by-step explanation:
Given
Sunday is considered as 0 day and
Monday as day 1 so Saturday must be considered as day 7
At the end of 155 days
i.e. [tex]\dfrac{155}{7}=22\times 7+1[/tex]
Up to 155 days there are 22 weeks and 1 extra day i.e.
There are 22 Mondays plus 1 extra day i.e. Tuesday
[tex]155^{th}\ \text{day is Tuesday and day after it is wednesday}[/tex]
A function is given.
f(x)=2x+3
What is the value of f(−2)?
f(−2) = ?
Answers
Answer:
f(- 2) = - 1
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x), that is
f(- 2) = 2(- 2) + 3 = - 4 + 3 = - 1
For [tex]2^{x}[/tex] + 3, then
f(- 2) = [tex]2^{-2}[/tex] + 3 = [tex]\frac{1}{4}[/tex] + 3 = 3.25
please help!!!!!!!!!!
Answers
Answer:
I saw this question in me answer option c.
You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan charges a monthly fee of $39.95 plus 10 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answers
Answer: 286 minutes
Step-by-step explanation:
x : # of months that has gone by
0.24x : cost of the 24 cent plan after "x" minutes
39.95 + 0.10x : cost of the 10 cent plan after "x" minutes
1. 39.95 + 0.10x > 0.24x
2. 39.95 > 0.24x - 0.10x
3. 39.95 > 0.14x
4. 285.36 > x
x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal
Answer:
286 minutes.
Step-by-step explanation:
Plan one: .24x
Plan two: 39.95 + .10x
When x = 286, the price of plan one is $68.64, which is higher than plan two which is $68.55. This makes the second plan preferable after 286 minutes of use.
n + 0 = 8
please help!
Answers
Answer:
The answer is 8
Step-by-step explanation:
you do inverse operations so you do 0+8 witch is 8! Hope this Helped ;)
Answer:
A
Step-by-step explanation:
PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!
Answers
In 1992, Jason bought a gallon of gas for $1.16. Yesterday, he bought a gallon of gas for $2.16.
What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If
necessary, round to the nearest tenth of a percent.
A:%46.3 B:13.8% C:53.7% D:86.2%
Answers
Answer:
C. 53.7%
Step-by-step explanation:
1.16÷2.16=53.7
Hi!
I'm happy to be able to help you today!
Your answer would be C. 53.7% !
This is because if you take 1.16 divided by 2.16 you get 53.7!
-LimitedLegxnd
-If you enjoyed my answer hit that Heart to let me know! Also rate me to let others know how well I did! To do that Click/Tab the stars!
-Question asker mark me brainliest if you enjoyed my answer!
plz help plz help plz
Answers
Answer:
[tex] \dfrac{1}{16} [/tex]
Step-by-step explanation:
Definition of a negative exponent:
[tex] a^{-n} = \dfrac{1}{a^n} [/tex]
This problem:
[tex] 4^{-2} = \dfrac{1}{4^2} = \dfrac{1}{16} [/tex]
The right answer is 1/16
look at the attached picture
Hope it will help you
Good luck on your assignment
5. The length of a rectangular sign is 6 inches more than half its width. The area of the sign is 432 square
inches. Find the dimensions of the sign.
Answers
Answer:
X = 13.2
Step-by-step explanation:
W = x
L = 2x + 6
A = 432in^2
x(2x + 6) = 432
2x^2 + 6x = 432
Answer:
x=13.2
Step-by-step explanation:
Cindy gets paid an hourly wage. During a 40-hour week, Cindy earns $240. This week she worked only 35 hours. How much did she earn?
Answers
Answer:
210
Step-by-step explanation:
A recipe uses 4 c of rice to every 5 c of beans. How many cups of beans are needed for 10 c of rice?
Answers
Answer:12.5
Step-by-step explanation:
10 c of rice is 2.5x the recipe, so you just have to multiply 5 x 2.5 to the amount of beans.
i need help please!!
Answers
Answer:
i say w< 6
Step-by-step explanation:
if the circle is open then it is less than 6
if the circle is closed than it is 6 or less
Question 3 (1 point)
How can plant spines and bird migrations be categorized as adaptations?
Plant spines a structural adaptation, while the bird migration is a behavioral adaptation.
Bird migration is a structural adaptation, while the plant spines is a behavioral adaptation.
They are both structural adaptations.
They are both behavioral adaptations.
Answers
Answer:
D
Step-by-step explanation:
because that's the answer.
Answer d
Step-by-step explanation: have a good day :)
What are the mean,mode, and range for this set of data? 5.1,3.7,3.1,4.3,7.2,4.3,2.5
Answers
Answer:
Mean: 4.3142
Mode: 4.3
Range: 4.1
Step-by-step explanation:
5.1 + 3.7 + 3.1 + 4.3 + 7.2 + 4.3 + 2.5 = 30.2
30.2 ÷ 7 = 4.3142
Answer:
Step-by-step explanation:
First step to finding the mean, is to add all of the numbers up.
5.1 + 3.7 + 3.1 + 4.3 + 7.2 + 4.3 +2.5 = 30.2
The next step is to divide the total against the amount of numbers in the sequence. Since there are 7 numbers in this sequence, you will divide 30.2 by 7.
30.2 / 7 = 4.3 (rounded to the nearest tenth)
The mean of the data set is 4.3
To find the mode, you will look for the number of the set that appears most frequently. I suggest putting the numbers in order of least to greatest, as this keeps them sorted and organized.
2.5, 3.1, 3.7, 4.3, 4.3, 5.1, and 7.2
Looking at these numbers, you can see that 4.3 pops up twice in the data set. This will be the mode, because it is the number that appears most frequently.
To find the range, you take the greatest number in the data set, and subtract it by the smallest.
7.2 - 2.5 = 4.7
That means that 4.7 is the range of the data set.
- Answered by, Inspire with a lowercase L, because the regular word "Inspire" was alreadt taken