Answer:
Step-by-step explanation:
To make F the subject of the formula, you need to solve for F in the equation C = 5(F-32)/9.
You can do this by first multiplying both sides of the equation by 9 to get rid of the fraction:
C * 9 = 5(F-32)
Then, you can distribute the 5 on the right side of the equation:
C * 9 = 5F - 160
Then, you can add 160 to both sides of the equation to isolate the F term:
C * 9 + 160 = 5F
Finally, you can divide both sides of the equation by 5 to solve for F:
F = (C * 9 + 160)/5
This gives you the final form of the equation:
F = (9C + 160)/5
In this form, F is the subject of the formula. a = 9, b = 160, and c = 5 are all positive integers.
Answer:
\(F=\dfrac{9C+160}{5}\)
Step-by-step explanation:
Given equation:
\(C=\dfrac{5(F-32)}{9}\)
Multiply both sides by 9:
\(\implies 9C=5(F-32)\)
Divide both sides by 5:
\(\implies \dfrac{9C}{5}=F-32\)
Add 32 to both sides:
\(\implies \dfrac{9C}{5}+32=F\)
\(\implies F=\dfrac{9C}{5}+32\)
Rewrite 32 as a fraction with denominator 5:
\(\implies F=\dfrac{9C}{5}+\dfrac{32 \cdot 5}{5}\)
\(\implies F=\dfrac{9C}{5}+\dfrac{160}{5}\)
\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:\)
\(\implies F=\dfrac{9C+160}{5}\)
how many questions out of 42 do I need to get right to score 75?
Answer:
31 questions, but it's impossible to score 75%.
Step-by-step explanation:
It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.
This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.
You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.
You rent an apartment that costs $1300 per month during the first year, but the rent is set to go up 7.5% per year. What would be the rent of the apartment during the
10th year of living in the apartment? Round to the nearest tenth (if necessary).
arithmetic/geometric sequences
Answer:
give me bobux i answer >:::::::::)
Wallpaper is sold in rolls that are 2 feet wide. What is the minimum length you would need to purchase to cover the wall?.
The minimum length you would need to purchase to cover the wall if 60 feet covers the wall is 28 feet.
What is the minimum length you would need to purchase to cover the wallAssume the wallpaper is a rectangle
Perimeter of a rectangle = 2(L + W)
Perimeter of the wallpaper = 60 feet
Width of the wallpaper = 2 feet
Length of the wallpaper = L
Perimeter of a rectangle = 2(L + W)
60 = 2(L + 2)
open parenthesis
60 = 2L + 4
subtract 4 from both sides
60 - 4 = 2L
56 = 2L
divide both sides by 2
L = 56/2
L = 28 feet
Hence, 28 feet is the minimum length of the rectangle.
Complete question:
A wallpaper is sold in rolls that are 2 feet wide what is the minimum length you would need to purchase to cover the wall if 60 feet covers the wall.
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A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If
he paid 8% sales tax on the sale price, how much did he pay in total?
Answer:
281.88
Step-by-step explanation:
522X.5(50%)=261 discount
522-261=261=sales price
261X.08=20.88 sales tax
261+20.88=281.88 sales price including sales tax
HELP, FAST!!!
choose an equation for the graph
Answer:
The equation of the graph is y = -lx - 4l - 1.
Step-by-step explanation:
As the values of y are same before and after (4, -1)
the slope of the graph is change on point (4, -1)
the equation of first line is
y - (-1) = 1 (x -4)
the equation of the second line is:
y - (-1) = -1 (x - 4)
As value of y should remain same in both equations
therefore: y - (-1) = - lx - 4l
y = - lx - 4l -1
The equation of the graph is y = -lx - 4l - 1.
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Please check the attached picture, please answer thoroughly!
The selection depends on individual needs, preferences, and the intended use of the tiny house.
a) To find the amount of space inside each house, we need to calculate the volume for each design.
House on the left:
Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³
Triangular house:
Volume of a triangular prism = (base area x height) / 2
Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²
Volume = (20 m² x 7 m) / 2 = 70 m³
b) When comparing the environmental impacts of each house, several factors need to be considered:
Positive impacts:
1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.
2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.
3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.
Negative impacts:
1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.
2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.
3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.
c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:
The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.
The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.
Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.
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given list {40 87 82 59 57 98 99}, what is the list after three iterations of the outer loop?
Answer:
Assuming that we are using a bubble sort algorithm to sort the list in ascending order and that the outer loop iterates over all the elements in the list, the list after three iterations of the outer loop would be:
{40, 57, 59, 82, 87, 98, 99}
In the first iteration of the outer loop, the largest element (98) is moved to its correct position at the end of the list. In the second iteration, the second largest element (87) is moved to its correct position before the largest element. In the third iteration, the third largest element (82) is moved to its correct position before the second largest element.
After three iterations of the outer loop, the list is sorted in ascending order, and no more iterations are needed.
Please someone help me figure out this scientific notation question
Scientific notation: 10¹
Integer: 10
The average radius of the sun is 10 times greater than the average
Explanation:The average radius of Jupiter:
\(R_J=4.34\times10^4miles_{}_{}\)The average radius of the sun:
\(R_s=4.32\times10^5miles\)The ratio of the two Radii
\(\frac{R_s}{R_J}=\frac{4.32\times10^5}{4.34\times10^4}\)\(\begin{gathered} \frac{R_s}{R_J}=0.995\times10 \\ \frac{R_s}{R_J}=9.95 \\ \frac{R_s}{R_J}=10\text{ (to the nearest integer)} \end{gathered}\)The average radius of the sun is 10 times greater than the average
What is the decimal equivalent of 2
- ?
3
Answer:
.666
Step-by-step explanation:
if today is Friday what day of the week will it be 26 days from now
Answer:
pretty sure its wednesdayAnswer: May 1
Step-by-step explanation:
There are few differences in Florida plants as fall arrives. What differences might you see in the seeds of Florida plants?
A The seeds are dormant.
B The seeds are being produced.
C The seeds are ready for harvest.
D The seeds are starting to germinate.
In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.
What is fall?Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.
How does this season affect Florida plants and seeds?In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.
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Answer:it answer is harvested
Step-by-step explanation:
what is th answer to this question
The total surface area of the trapezoidal prism is S = 3,296 inches²
Given data ,
Let the total surface area of the trapezoidal prism is S
Now , the measures of the sides of the prism are
Side a = 10 inches
Side b = 32 inches
Side c = 10 inches
Side d = 20 inches
Length l = 40 inches
Height h = 8 inches
Lateral area of prism L = l ( a + b + c + d )
L = 40 ( 10 + 32 + 10 + 20 )
L = 2,880 inches²
Surface area S = h ( b + d ) + L
On simplifying the equation , we get
S = 2,880 inches² + 8 ( 52 )
S = 3,296 inches²
Hence , the surface area of prism is S = 3,296 inches²
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A mom spent $560 on c clothes for her daughter for school. Write an expression that shows
the cost of one if they are all the same price?
Answer:
560÷c = p (p is price of one btw)
Step-by-step explanation:
The diameter of a circle is 19 find the circumference to the nearest tenth
Answer:
Step-by-step explanation:
59.69
HELPEHEGEDHGDGXCCVCCXVV
Step-by-step explanation:
1) 7x+3y=19
2)2x-7y=12
3) x=5, y=0
4) x=15/2, y=(-63/4)
5) x=9, y=92
6) x=(-2) , y=(-9)
7) x=5, y=(-2)
8) x=2, y=2
the cdc wants to determine factors that affect the covid-19 rates. which statistical method would be most appropriate?
The most appropriate statistical method to determine factors that affect COVID-19 rates would be multivariate regression analysis.
Multivariate regression analysis is a statistical method used to determine the relationship between a dependent variable and several independent variables. In the case of the CDC trying to determine factors that affect COVID-19 rates, the dependent variable would be the COVID-19 rates, and the independent variables would be various factors that could affect the rates, such as age, gender, race, socioeconomic status, vaccination rates, and so on.
The multivariate regression analysis would allow the CDC to examine the relationship between each of these independent variables and the COVID-19 rates while controlling for the effects of the other independent variables. The regression analysis would also provide a way to quantify the strength and direction of each variable's effect on the COVID-19 rates.
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Sam bought a jacket for $34, which is one-third of the original price. How much did thejacket cost originally?
Let the original cost of the jacket be x.
Now, saying that one-third of the original cost of the jacket is $34, is mathematically equivalent to:
\(\frac{1}{3}\times x=34\)Now we have to solve the resulting equation in order to obtain the value of x
This is done as follows:
\(\frac{1}{3}\times x=34\)\(\Rightarrow\frac{x}{3}=34\)\(\Rightarrow x=3\times34\)\(x=102\)Therefore, the original cost of the jacket is $102
Latoya is a software saleswoman. Let represent her total pay (in dollars). Let represent the number of copies of English is Fun she sells. Suppose that and are related by the equation . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in Latoya's total pay for each copy of English is Fun she sells
Answer:
The answer is "$80".
Step-by-step explanation:
Please see the attached file for the whole question.
Yolanda's total pay y changes for each 'English is fun' sold x, i.e.
\(\frac{\delta y}{\delta x} = \frac{dy}{dx} \\\\y = 1900+80 x\)
separating the above equation:
\(\frac{dy}{dx}= 80\)
Therefore,
\(\frac{dy}{dx} = \$80\)
For each 'English is enjoyable' sold x, the change in Yolanda total compensation y is \(\$80\).
solve for x:
3cx-b=adx+5f
\(3cx - b = adx + 5f \\ 3cx - adx = 5f + b \\ x(3c- ad) = 5f + b \\ \\ x = \frac{5f + b }{3c- ad} \)
I hope I helped you^_^
A box of cereal weighs 600 grams. How much is this weight in pounds? Round your answer to the nearest hundredth.
Answer:
1.300 correct me if I'm wrong
Express -5x(x+6) = 4(x-3)-10 in the form ax^2+bx+c=0 (quadratic formula)
Answer:
\(5x^{2} + 34x - 22\)
Step-by-step explanation:
-5x ( x + 6 ) = 4 ( x - 3 ) - 10
Distribute
\(-5x^{2} - 30x = 4x - 12 - 10\)
Simplify,
\(-5x^{2} -30x = 4x -22\)
Inverse operations;
\(-5x^{2} - 30x = 4x - 22\\ +30x +30x\\\\-5x^{2} = 34x - 22\\+5x^{2} +5x^{2}\\\\5x^{2} + 34x - 22\)
Answer:
5x^2 + 34x - 22 = 0
Step-by-step explanation:
-5x(x+6) = 4(x-3)-10
-5x^2 - 30x = 4x - 12- 10
-5x^2 - 30x - 4x + 22 = 0
-5x^2 - 34x + 22 = 0
5x^2 + 34x - 22 = 0
What does x represent in f-1(x) = 30? What is the value of x?
Which best describes the classification for the
following number set?
{-4 1/2, -1, 3/4, 3.5, 13, 24 5/8}
I. Rational numbers
II. Integers
III. Whole numbers
I only
l and I| only
| and Ill only
I, II, and I||
Answer:
I only
Step-by-step explanation:
All numbers are rational.
Not all numbers are whole or integers.
Answer: I only
Which graph represents the geometric sequence f(x) = (1) ∙
The graph that represents the geometric sequence f(x) = (1) ∙ (2)^(x-1) is graph C.
A geometric sequence is a sequence of numbers where each term is equal to the previous term multiplied by a constant value, called the common ratio. In this case, the common ratio is 2. This means that the first term of the sequence is 1, the second term is 1 * 2 = 2, the third term is 2 * 2 = 4, and so on.
The graph of a geometric sequence is a curve that gets closer and closer to the y-axis as x gets larger. This is because the terms of the sequence get smaller and smaller as x gets larger. In the case of the sequence f(x) = (1) ∙ (2)^(x-1), the terms of the sequence get smaller and smaller as x gets larger because the common ratio is 2, which is greater than 1.
Graph C is the only graph that meets all of these criteria. The curve in graph C gets closer and closer to the y-axis as x gets larger. This is because the terms of the sequence f(x) = (1) ∙ (2)^(x-1) get smaller and smaller as x gets larger. Therefore, graph C is the graph that represents the geometric sequence f(x) = (1) ∙ (2)^(x-1).
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How do I Answer this question ? using the following directions.
Answer:
12-2n
Step-by-step explanation:
Difference means to subtract
Times means to multiply
A number would be the variable
Find the Taylor series for f centered at 4 if (-l)"n! f(n) (4) 3n(n + 1) What is the radius of convergence of the Taylor series?
To find the Taylor series for f centered at 4, we need to use the formula for the Taylor series.
f(x) = ∑[n=0 to ∞] (f^n(4)/n!)(x - 4)^n
where f^n(x) denotes the nth derivative of f(x) evaluated at x. Using the given information, we have:
f(4) = f(4) = 0 (since f(4) = ∑[n=0 to ∞] (f^n(4)/n!)(4 - 4)^n = f^0(4)/0! = f(4)/1 = f(4))
f'(4) = 3(1)(4 + 1) = 15
f''(4) = 3(2)(4 + 1)(2(4) + 1) = 294
f'''(4) = 3(3)(4 + 1)(2(4) + 1)(3(4)^2 + 3(4) + 1) = 15015
f''''(4) = 3(4)(4 + 1)(2(4) + 1)(3(4)^2 + 3(4) + 1)(4(4)^3 + 6(4)^2 + 4(4) + 1) = 5148290
Thus, the Taylor series for f centered at 4 is:
f(x) = 0 + 15(x - 4) + 294(x - 4)^2 + 15015(x - 4)^3 + 5148290(x - 4)^4 + ...
To find the radius of convergence, we can use the ratio test:
lim[n→∞] |(f^(n+1)(4)/ (n+1)!) / (f^n(4)/n!)|
= lim[n→∞] |(f^(n+1)(4) / (n+1)) / (f^n(4) / n)|
= lim[n→∞] |(3(n+2)(n+1) / (n+1)) / (3n(n+1) / n)|
= lim[n→∞] |(3(n+2)) / (n+1)|
= 3
Since the limit is less than 1, the radius of convergence is ∞, which means that the Taylor series converges for all values of x.
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bob bought a popcorn, a soda, and a hotdog at the movies for 9.90 . popcorn costs 3 more than a hotdog. a soda costs 0.60 less than a hotdog. how much is each item?
Each item costs: 5.50 for a popcorn, 1.90 for a soda, and 2.50 for a hotdog.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.
Let x = cost of a hotdog.
If popcorn costs 3 more than a hotdog, then
3 + x = cost of a popcorn.
If a soda costs 0.60 less than a hotdog, then
x - 0.60 = cost of a soda.
If a popcorn, a soda, and a hotdog at the movies is 9.90, then
(3 + x) + (x - 0.60) + x = 9.90
Simplify the equation and solve for the value of x.
(3 + x) + (x - 0.60) + x = 9.90
3 + x + x - 0.60 + x = 9.90
3x = 9.90 - 3 + 0.60
3x = 7.50
x = 2.50
cost of a hotdog = x = 2.50
cost of a popcorn = 3 + x = 3 + 2.50 = 5.50
cost of a soda = x - 0.60 = 2.50 - 0.60 = 1.90
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Pls Answer 15 Points
This isn’t something we can really answer for you hun.
If you need help understanding, here’s a course that might help:
https://www.khanacademy.org/math/geometry/hs-geo-transformations
Can someone help me with this please?
Answer:
35/12 improper fraction
Step-by-step explanation:
Answer:
sin H = \(\frac{55}{73}\)
Step-by-step explanation:
sinH = \(\frac{opposite}{hypotenuse}\) = \(\frac{FG}{FH}\) = \(\frac{55}{73}\)
Pls Help!!! If 1615 people are all paying someone $6.50 a month how much does that person get paid per month and per year?
Answer:
The answer would be 10497.5 per month, 125,970 per year
Step-by-step explanation:
So you multiply 1615 times 6.5 which would equal 10497.5 per month, then time it by 12 which is a year of 12 months, as it would equal 125,970.