Answers
C (f) = (5/9) (f -32)
Clearing f we have:
(f-32) = (9/5) c
Rewriting:
f = (9/5) c + 32
f (c) = (9/5) c + 32
Answer:
The inverse function for this case is given by:
f (c) = (9/5) c + 32
option B
Related Questions
Express the number as a ratio of integers. 3.469 = 3.469469469
Answers
3.469469469....
then:
Let x=3.469469469.....
then
1000x-x=(3469.469469469...) - (3.469469469....)
999x = 3466
x=3466 / 999
= 3+469/999
[tex]=3\frac{469}{999}[/tex]
two angles are supplementary. One of the angles has a measure of 60 degrees. What is the measure of the other angle?
Answers
Answer:
120°
Step-by-step explanation:
you plant 30 african violet seeds and 9 of them sprout use experimental probability to predict how many will sprout if you plant 20 seeds
Answers
Experimental probability =(number of occurrence of event)/(total number of trials made)
=9/30
=3/10
thus the number of seeds that will sprout given that 20 seeds we planted will be:
3/10×20
=6 seeds
6 seeds are required that will sprout if you plant 20 seeds.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
It is given that out of 30 planted seeds only 9 of them sprouted, then
Experimental probability =(number of occurrences of the event)/(total number of trials made)
=9/30
=3/10
thus the number of seeds that will sprout given the 20 seeds we planted will be
3/10×20
=6 seeds
Therefore, 6 seeds are required that will sprout if you plant 20 seeds.
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Sierra's swimming lessons last 1 hour 20 minutes.she finished her lesson at 10:50 am.at what time did her lesson start?
Answers
if the time she finished is 10.50 and her lessons are an hour and 20 minutes long you subtract the finishing time to the time it takes for her lesson.
10.50-1.20=9.30
just used a calculator but mental math is usable for this problem.
LOVE YOU
The time at which her lesson start is 9:30 am.
How are number of people to time needed to complete a task related?More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
We are given that;
Time= 1 hour 20 minutes
Now,
To find the time when Sierra’s lesson started, you need to subtract the duration of her lesson from the time when she finished. You can do this by subtracting the minutes and then the hours.
First, subtract 20 minutes from 10:50 am. To do this, you can take away 10 minutes to get 10:40 am and then take away another 10 minutes to get 10:30 am.
Next, subtract 1 hour from 10:30 am. To do this, you can take away 60 minutes or simply reduce the hour by 1. Either way, you get 9:30 am.
Therefore, by work and time the answer will be 9:30 am.
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Expression for calculation divided 10 in half and subtract from 50 divided into fifth
Answers
so 10/2=
5
50/5
10
subtract 5-10
-5 is your answer
^o^
Hey can you please help me posted picture of question
Answers
____________________
Addition of a number to x indicates a shift towards left. Since 4 is being added to x, this means function is shifted to left by 4 units.
Addition of a number to the function represent an upward shift. Since 2 is being added to the function value, this mean function is shifted up by 2 units.
So, G(x) is obtained by shifted F(x) 4 units to left and 2 units up.
Thus, option C is the correct answer
Please help the answer are
12
4
X
X+4
-16
16
X+12
X^2
Answers
x² + 4x = 192
Step 2:
Take x common:
x ( x + 4) = 192
Length is x and width is x+4
Step 3:
x² + 4x - 192 = 0
Step 4:
x² + 16x - 12x - 192 = 0
x(x+16) - 12(x+16) = 0
(x-12)(x+16) = 0
⇒ x=12, x=-16
Because the length can't be -16, the length is 12.
Factoring x²+4x, you get x(x+4). If you call the length x, then the width is the other factor, x+4.
Step 4: {16}
You know this two ways. -192/-12 = 16, and 4 -(-12) = 16, where 4 is the coefficient of x in step 3.
Last line: {-16, 16}
The values of x that make the factors zero are -16 and 12. Since these are supposed to represent lengths, an appropriate answer cannot be negative (-16). The width is x+4 = 12+4 = 16.
Identify the figure formed by the net.
•Square pyramid
•Hexagonal prism
•Cylinder
•Cube
Answers
the answer is CUBE
I hope this helps, and have a nice day!
Find the sum of these polynomials.
(x2 – x + 7) + (9x2 + 6) =
Answers
[tex]( x^{2} -x+7)+(9 x^{2} +6)[/tex]
First work out the parenthesis.
[tex] x^{2} -x+7+9 x^{2} +6[/tex]
Rearrange the expression.
[tex] x^{2} +9 x^{2} -x+7+6[/tex]
Now collect the terms.
[tex]10 x^{2} - x+13[/tex]
The answer is B.
~ Hope this helps you!
Answer:B
Step-by-step explanation:
Consider the following grsph of a quadratic function.
Answers
[tex]y=\frac{7}{8}\left(x+4\right)\left(x+2\right)[/tex]
name the shaded region in three equivalent forms 2/3 in to a fraction,decimal, and percent
Answers
Decimal: .33 (for middle schoolers I suppose)
Percent: 33% (Please Learn you math)
I hope this helped you
At the ice-cream parlor you can choose from 4 flavors of ice cream, 2 types of sauce, and 3 different toppings when ordering a sundae. How many possible sundaes can be ordered?
Answers
Tanisha cut a triangle with angles of 34°, 67°, and 79° in three pieces so that each piece had one angle of the triangle. She arranged the three angles connected together such that the three corners of the triangle were all touching. What type of angle was formed and what does this show?
Answers
Jill earns $18.59 per hour. what is her gross earnings if she worked 46 hours. jill earns time and a half for overtime work.
Answers
There are a couple of ways to think about overtime pay.
1) Figure the number of overtime hours, and multiply that number by 1.5 times the base pay. (OT pay) = (OT hours)*(1.5*(base pay))
2) Figure the number of overtime hours, and multiply that number by 1.5, then by the base pay. (OT pay) = ((OT hours)*1.5)*(base pay)
You can see the product is the same, only the sequence of computation is changed.
Then Jill's gross earnings can be computed as ...
(40 h +(6 h)*1.5)*(base pay)
(49 h)*($18.59/h) = $910.91
Jill's gross earnings for 46 hours' work will be $910.91.
The graph of a hyperbola is shown. what is the length of the transverse axis
Answers
the one on the left is at (0,-9) the one on the right is st (0,9)
distance between -9 and 9 = 18
the length of the transverse axis is 18
The length of the transverse axis is 18 units.
What is the transverse axis of a hyperbola?"The transverse axis is a line segment that passes through the center of the hyperbola and has vertices as its endpoints."
Given, the vertices of the hyperbola are at (-9, 0) and (9, 0).
Therefore, the length of the transverse axis is
[tex]= (9+9) units\\= 18 units[/tex]
Therefore, the length of the transverse axis is 18 units.
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SOMEONE PLEASE PLEASE HELP ASAP
Answers
To find a sequence is arithmetic, we are going to find its common difference: [tex]d=a_{n}-a_{n-1}[/tex]
where
[tex]d[/tex] is the common difference
[tex]a_{n}[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence
To find if a sequence is geometric, we are going to find its common ratio:
[tex]r= \frac{a_{n}}{a_{n-1}} [/tex]
where
[tex]r[/tex] is the common ratio
[tex]a_{n}[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence
1) 3,4,6,10,18
For [tex]a_{n}=4[/tex] and [tex]a_{n-1}=3[/tex]:
[tex]d=a_{n}-a_{n-1}[/tex]
[tex]d=4-3[/tex]
[tex]d=1[/tex]
For [tex]a_{n}=6[/tex] and [tex]a_{n-1}=4[/tex]:
[tex]d=6-4[/tex]
[tex]d=2[/tex]
For [tex]a_{n}=4[/tex] and [tex]a_{n-1}=3[/tex]:
[tex]r= \frac{a_{n}}{a_{n-1}} [/tex]
[tex]r= \frac{4}{3} [/tex]
For [tex]a_{n}=6[/tex] and [tex]a_{n-1}=4[/tex]:
[tex]r= \frac{6}{4} [/tex]
[tex]r= \frac{3}{2} [/tex]
We can conclude that the sequence is neither arithmetic nor geometric.
2) [tex] \frac{25}{4} , \frac{5}{2} ,1...[/tex]
For [tex]a_{n}= \frac{5}{2} [/tex] and [tex]a_{n-1}= \frac{25}{4} [/tex]:
[tex]d=a_{n}-a_{n-1}[/tex]
[tex]d=\frac{5}{2}-\frac{25}{4}[/tex]
[tex]d=- \frac{15}{4} [/tex]
For [tex]a_{n}=1[/tex] and [tex]a_{n-1}= \frac{5}{2} [/tex]:
[tex]d= 1-\frac{5}{2}[/tex]
[tex]d= -\frac{3}{2} [/tex]
For [tex]a_{n}= \frac{5}{2} [/tex] and [tex]a_{n-1}= \frac{25}{4} [/tex]:
[tex]r= \frac{a_{n}}{a_{n-1}} [/tex]
[tex]r= \frac{\frac{5}{2} }{\frac{25}{4} } [/tex]
[tex]r= \frac{2}{5} [/tex]
For [tex]a_{n}=1[/tex] and [tex]a_{n-1}= \frac{5}{2} [/tex]:
[tex]r= \frac{1}{\frac{5}{2}} [/tex]
[tex]r= \frac{2}{5} [/tex]
We have a common ratio, we can conclude that the sequence is geometric.
3) [tex] \frac{2}{3} , \frac{4}{6} , \frac{8}{9} ...[/tex]
For [tex]a_{n}=\frac{4}{6}[/tex] and [tex]a_{n-1}= \frac{2}{3}[/tex]:
[tex]d=\frac{4}{6}-\frac{2}{3}[/tex]
[tex]d=0[/tex]
For [tex]a_{n}=\frac{4}{6}[/tex] and [tex]a_{n-1}= \frac{2}{3}[/tex]:
[tex]r= \frac{\frac{4}{6}}{\frac{2}{3}} [/tex]
[tex]r=1[/tex]
For [tex]a_{n}=\frac{8}{9}[/tex] and [tex]a_{n-1}= \frac{4}{6}[/tex]:
[tex]r= \frac{\frac{8}{9}}{\frac{4}{6}} [/tex]
[tex]r= \frac{4}{3} [/tex]
We can conclude that the sequence is neither arithmetic nor geometric.
4) 3,15,75...
For [tex]a_{n}=15[/tex] and [tex]a_{n-1}=3[/tex]:
[tex]d=15-3[/tex]
[tex]d=12[/tex]
For [tex]a_{n}=75[/tex] and [tex]a_{n-1}=15[/tex]:
[tex]d=75-15[/tex]
[tex]d=60[/tex]
For [tex]a_{n}=15[/tex] and [tex]a_{n-1}=3[/tex]:
[tex]r= \frac{15}{3} [/tex]
[tex]r=5[/tex]
For [tex]a_{n}=75[/tex] and [tex]a_{n-1}=15[/tex]:
[tex]r= \frac{75}{15} [/tex]
[tex]r=5[/tex]
We have a common ratio, we can conclude that the sequence is geometric.
5) 5,-11,-27
For [tex]a_{n}=-11[/tex] and [tex]a_{n-1}=5[/tex]:
[tex]d=-11-5[/tex]
[tex]d=-16[/tex]
For [tex]a_{n}=-27[/tex] and [tex]a_{n-1}=-11[/tex]:
[tex]d=-27--11[/tex]
[tex]d=-27+11[/tex]
[tex]d=-16[/tex]
We have a common difference, we can conclude that the sequence is arithmetic.
What is the domain of the function log(x-4) +4?
Answers
Thus, x-4 ≥ 0, or x ≥ 4 (answer)
A particular model of walkie talkie can broadcast in a circular .the radius of the broadcast area is 10,000 feet. find the area of the circle to the nearest square foot use 3.14 for pi
Answers
A = 3.14 * 10000 * 10000 = 314000000 ft^2
If f(x)=x-6 and g(x)=x1/2(x+3), find g(x) times f(x)
Answers
1. You have the following functions given in the problem above:
[tex]f(x)=x-6 [/tex] and [tex]g(x)=x1/2(x+3)=x(x+3)/2 [/tex]
2. You have that g(x) times f(x) can be written as g(x)*f(x). Therefore, you must multiply f(x) * g(x), as following:
[tex]g(x)*f(x)=(x-6)*x(x+3)/2 [/tex]
3. Applying the distributive property, you have:
[tex]g(x)*f(x)=( x^{3} + 3x^2 - 6x^{2} -18x)/2[/tex]
[tex]g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2 [/tex]
The answer is: [tex]g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2[/tex]
you deposit $3000 into a bank account that pays 1.25% annual interest, compounded semi-annually. how much interest does the account earn after 4 years?
Answers
To find the amount of interest earned on a bank account after 4 years, use the compound interest formula. After plugging in the values, the account earns approximately $162.89 in interest.
Explanation:To calculate the amount of interest earned on a bank account after 4 years, we need to use the formula for compound interest: A = P(1 + r/n)^(nt) - P. In this case, the initial deposit (P) is $3000, the annual interest rate (r) is 1.25%, compounded semi-annually (n = 2), and the time period (t) is 4 years. Plugging in these values, we get:
A = 3000(1 + 0.0125/2)^(2*4) - 3000
Solving this equation, we find that the account earns approximately $162.89 in interest after 4 years.
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you and your friend are both knitting scarves for charity . you knit 8 rows each minute and have already knitted 10 rows . your friend knits 5 rows each minute and has already knitted 19 rows . when will you both have knitted the same amount of rows ?
Answers
5, 10, 15, 20, 25, 30, 35, 40 (after 8 minutes)
8, 16, 24, 32, 40 (after 5 minutes)
You and your friend will knit the same number of rows after 8 minutes for you and 5 minutes for your friend.
After 3 minutes you both have knitted the same amount of rows.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, You knit 8 rows each minute and have already knitted 10 rows.
Your friend knits 5 rows each minute and has already knitted 19 rows.
Assuming t is the time when will you both have knitted the same amount of rows,
8t + 10 = 5t + 19.
8t - 5t = 19 - 10.
3t = 9.
t = 3 minutes.
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Trica's mother let her play outside for 15 minutes. When she went outside,she played with her dog for 5 minutes.Then she rode her bike for 4 minutes .She spent the rest of her time catching bugs.how many minutes did Trica spent catching bugs?
Answers
Q # 2 Graph TWX and it's image after a rotation of 90° counterclockwise about the origen
Answers
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)
see the attached figure
The solid shown are composed of prisms and half cylinders. Find the volume of the solid. Round to the nearest whole number.
Answers
Employee Earnings per month($) 1 1,200 2 2,600 3 1,800 4 1,450 5 3,500 6 2,800 7 12,500 8 3,200 Which measure of spread is best for the data in the table?
Answers
Answer: Interquartile range
Step-by-step explanation:
Interquartile Range:
Q3 - Q1 Find Q2 then Q3 then Q1. Then subtract Q3 and Q1.
This is the most accurate out of all measures of spread.
Hope this helps :)
The measure of spread is best for the data in the table is mean absolute deviation.
What is data table?Tables are a useful tool used to present data in an organized and easy-to-understand format. They typically consist of rows and columns that contain information, and can even be structured in more complex ways. Tables are often used in communications, research, and data analysis.
The given data is 1200, 2600, 1800, 1450, 3500, 2800, 12500 and 3200.
Mean absolute deviation (MAD) is a measure of variation in a data set, calculated by taking the average of the absolute differences between each data value and the mean. It gives an indication of how far each data point is from the mean, providing an easy way to detect the spread of the data. MAD is a useful tool for understanding the range of values within a data set, and it can be used to compare different sets of data to each other.
Therefore, the measure of spread is best for the data in the table is mean absolute deviation.
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Find the lowest common denominator of the following fractions. 5/n-2 and n+2/n^2-4
Answers
(n^2 -4) = (n -2)(n +2)
Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2
This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).
_____
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).
Final answer:
The lowest common denominator of the fractions 5/(n-2) and[tex](n+2)/(n^2-4)[/tex] is[tex]n^2 - 4,[/tex] which is the factored form of the denominator of the second fraction.
Explanation:
The question asks to find the lowest common denominator (LCD) of two fractions: 5/(n-2) and (n+2)/[tex]n^2 - 4,[/tex]. To do this, we need to factor each denominator, if possible, and then determine the LCD. The second denominator can be factored into (n+2)(n-2) since it is a difference of squares. For the LCD, we need each factor present at least as many times as it occurs in any one of the denominators. The first fraction is already missing the (n+2) factor, so we multiply the numerator and the denominator of this fraction by (n+2) to have an equivalent fraction with the common denominator.
The common denominator then is (n+2)(n-2), equivalent to[tex]n^2 - 4,[/tex] So the LCD of the two fractions is[tex]n^2 - 4.[/tex] We can use this denominator to combine fractions or compare them. No further steps are necessary because the second fraction already has the LCD. Therefore, the LCD for both fractions is [tex]n^2 - 4.[/tex]
Find the measure of each angle
Answers
9 = 180 - 60 = 120
10 = 180 -80 = 100
6 = 9 = 120
5 = 60
4 = 80
7 = 10 = 100
1=60
3 = 80
2 = 180 - 60 - 80 = 40
8 = 1 = 60
There are 3 teams of 18 employees working today. Company
policy says that we need to have 1 supervisor for every 8 employees on the floor. We need ....
Answers
Final answer:
The total number of employees working is 54. According to company policy requiring 1 supervisor for every 8 employees, 7 supervisors are needed to comply with this policy.
Explanation:
To find how many supervisors are required, we first need to know the total number of employees working. Since there are 3 teams of 18 employees, the total number of employees is 3 teams * 18 employees per team = 54 employees. Company policy requires 1 supervisor for every 8 employees. Therefore, we divide the total number of employees by the supervisor to employee ratio: 54 employees / 8 employees per supervisor = 6.75. Since we cannot have a fraction of a supervisor, we round up to the next whole number, making it 7 supervisors needed in total.
So, the supervisor would say: "We need 7 supervisors working tonight so we should be OK."
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot.
PLEASE DO THE WORK AND SHOW ME!!!!!
Please answer, and I'll ask this and I'll do the question again, and I'll do the same points.
Please thankyou
No jokes!!!!!!!!!
Answers
To find the dimensions of the raised vegetable garden, we need to solve for the length and width using the given volume and height.
Explanation:To find the volume of the raised vegetable garden, we multiply the area of the base by the height. In this case, the base is a rectangle, so its area is length times width. Let's call the length of the garden L and the width W. The volume (V) is given as 48 cubic feet and the height (H) is 3/4 foot. Therefore, we have the equation V = L x W x H. Substituting the given values, we get 48 = L x W x 3/4. To solve for L and W, we need to choose possible values for them that satisfy the equation. Let's start by considering possible values for L and W: L = 16 feet and W = 3 feet. Substituting these values into the equation, we have 48 = 16 x 3 x 3/4. Simplifying, we get 48 = 144/4, which is not true. Therefore, our initial guess for the values of L and W is incorrect. Let's try another set of values: L = 12 feet and W = 4 feet. Substituting these values into the equation, we have 48 = 12 x 4 x 3/4. Simplifying, we get 48 = 144/4, which is true. Therefore, the raised vegetable garden is 12 feet long and 4 feet wide.
Hey can you please help me posted picture of question
Answers
the spinner has 8 sections
total possibilities = 6 x 8 = 48
the answer is B.