What is the median for this set of numbers?
10, 9, 23 , 68, 70, 4, 12, 4
Given F= 9/5C+32, the conversion formula for Fahrenheit to Celsius, solve for C
Answer:
The required equation is [tex]C=\frac{5}{9}(F-32)[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]F= \frac{9}{5}C+32[/tex]
Solve the formula for C.
Subtract 32 from both sides.
[tex]F-32= \frac{9}{5}C+32-32[/tex]
[tex]F-32= \frac{9}{5}C[/tex]
Multiply both the sides by 5/9.
[tex]\frac{5}{9}(F-32)= \frac{9}{5}C\times \frac{5}{9}[/tex]
[tex]C=\frac{5}{9}(F-32)[/tex]
Hence the required equation is [tex]C=\frac{5}{9}(F-32)[/tex]
The formula to convert Fahrenheit to Celsius is C = 5/9( F - 32 ).
How to solve for a variable in an equation?Given the equation in the question:
F = (9/5)C + 32
To solve for C (Celsius) in the conversion formula F = (9/5)C + 32, first, isolate the terms that contain C on one side of the equation.
F = (9/5)C + 32
Subtract 32 from both sides of the equation:
F - 32 = (9/5)C + 32 - 32
F - 32 = (9/5)C
Next, multiply both sides by the reciprocal of the coefficient of C: 5/9:
5/9( F - 32 ) = 5/9 × (9/5)C
5/9( F - 32 ) = C
C = 5/9( F - 32 )
Therefore, C equals C = 5/9( F - 32 ).
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FOR 10 POINTS WILL MARK BRAINLIEST It costs $175 to rent a jet ski for 2 hours. It costs $300 to rent a jet ski for 2 hours. It costs 300$ to rent a jet ski for 4 hours. Write an equation that represents the cost y (in dollars) of renting a jet ski for x hours
The equation that represents the cost y (in dollars) of renting a jet ski for x hours is y = -87.50x + 525.
Explanation:The equation that represents the cost y (in dollars) of renting a jet ski for x hours can be found by analyzing the given information. Let's break it down step by step:
We are given that it costs $175 to rent a jet ski for 2 hours. This means the cost per hour is $175 / 2 = $87.50.We are also given that it costs $300 to rent a jet ski for 4 hours. This means the cost per hour is $300 / 4 = $75.Based on these two data points, we can see that as the number of hours increases, the cost per hour decreases. Therefore, we can infer that the cost of renting a jet ski is a linear function of the number of hours.Now, let's use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.Therefore, the equation that represents the cost y (in dollars) of renting a jet ski for x hours is y = -87.50x + 525.
Will Give BRAINLIEST) the distance around a rectangular parking lot is 1,200 meters. If the parking lot is 74 meters long, how wide is it?
E.j. found a $45 sweater on sale for $27. what is the percent of discount?
Solve by quadratic formula
Bens date of birth is a prime number between 15 and 25. This number has 57 as a multiple.
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5).
A. 104
B. −246
C. 146
D. 250
Answer:
Option A is correct
The value of (h ∘ g)(−5) is, 104
Step-by-step explanation:
Given the functions:
g(x) = 2x
[tex]h(x) = x^2 + 4[/tex]
We have to find (h ∘ g)(−5).
[tex](h o g)(-5) = h(g(-5))[/tex] ....[1]
At x = -5
g(-5) = 2(-5) = -10
then
Substitute the g(-5) in [1] we have;
[tex](h o g)(-5) = h(-10)[/tex]
⇒[tex](h o g)(-5) = (-10)^2+4 = 100+4 = 104[/tex]
⇒[tex](h o g)(-5) = 104[/tex]
therefore, the value of (h ∘ g)(−5) is, 104
Mr. Lewis sees a red light ahead and applies the brakes on his car. The car travels 300.5 feet before coming to a stop. For each foot the car travels during this time, its speed changes by −0.2 miles per hour.
What is the total change in the car's speed during that time?
a) -36.15
b) -60.1
c) 60.10
d) 36.15
multiply 300.5 feet by -0.2 mph
300.5 * -0.2 = -60.1 change
Yearly attendance at a local movie theater is 56,000 and grows continuously at a rate of 4.2% each year. What is the approximate attendance at the movie theater in nine years?
The approximate attendance at the movie theater in nine years, with a continuous growth rate of 4.2%, is around 79,918.
Explanation:The question provided can be solved using the formula for continuous growth, A = P ert, where A is the final amount, P is the initial principal amount (56,000 in this case), r is the rate of growth (4.2% or 0.042 when expressed as a decimal), and t is time in years (9 years here).
To find the approximate attendance at the movie theater in nine years, we substitute our values into the formula: A = 56000 x e(0.042 x 9). After calculating this, we find that the approximate attendance at the movie theater after nine years is about 79,918.
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A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now
Charli,
First find what 1/4 of 2/3 is.
1/4 of 2/3 = 1/6
(That is 1/4 times 2/3 = 1/6)
So, the bottle was 2/3 full, it is now ...
2/3 - 1/6
=4/6 - 1/6
= 3/6 or 1/2 full.
We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.
Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:
(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2
Hence the bottle is now one half full
Given right triangle MNO, which represents the value of cos(M)?
a) ON/MN
b) MN/MO
c) ON/MO
d) MN/ON
The option that represents cos M is MN / MO
Using trigonometric ratios, we can find the ratio of sides of a right angle triangle.
Trigonometric ratios:sin x = opposite / hypotenusecos x = adjacent / hypotenusetan x = opposite / adjacentTherefore,
cos M = adjacent / hypotenuse
cos M = MN / 0M
Therefore, cos M = MN / MO
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Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work. 1/4X^3=-27/4
Answer:
x=3
Step-by-step explanation:
Sam and chad are ticket-sellers at their class play. sam is selling student tickets for $2.00 each, and chad selling adult tickets for $5.50 each. if their total income for 24 tickets was $83.00, how many tickets did sam sell?
The number of tickets sold to students by Sam will be 14.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sam and Chad are ticket-sellers at their class play. Sam is selling student tickets for $2.00 each, and Chad selling adult tickets for $5.50 each. if their total income for 24 tickets was $83.00.
Let x be the number of tickets sold to students and y be the number of tickets sold to adults. Then the equation is given as,
x + y = 24 ...1
2x + 5.5y = 83 ...2
From equations 1 and 2, then we have
2(24 - y) + 5.5y = 83
48 - 2y + 5.5y = 83
3.5y = 35
y = 10
Then the value of x will be given as,
x + 10 = 24
x = 24 - 10
x = 14
The number of tickets sold to students by Sam will be 14.
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The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward. Which statements are true? Check all that apply.
Answer:
A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
C. The ball reaches its maximum height about 4 seconds after it is thrown
Step-by-step explanation: • The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.
• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.
• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.
• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.
• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.
Although the actual amount varies by season and time of day, the average volume of water that flows over the falls each second is 5.25.2 times ×10 Superscript 5105 gallons. How much water flows over the falls in an hour? Write the result in scientific notation. (Hint: 1 hour equals 3600 seconds)
The amount of water flowing each second is:
rate = 5.2 x 10^5 gallons / second
Since we know that:
1 hour = 3600 seconds
Therefore:
rate = (5.2 x 10^5 gallons / second) * (3600 seconds / hour)
rate = 1.872 x 10^9 gallons / hour
Final answer:
The average volume of water that flows over the falls in an hour is 1.89 x 10^9 gallons/hour.
Explanation:
To calculate the amount of water that flows over the falls in an hour, we need to convert the given flow rate from gallons per second to gallons per hour.
There are 3600 seconds in an hour, so we can multiply the flow rate (5.25 x 105 gallons per second) by 3600 to find the flow rate in gallons per hour.
The calculation would be: 5.25 x 105 gallons/s * 3600s/hour = 1.89 x 109 gallons/hour.
The result, in scientific notation, is 1.89 x 109 gallons/hour.
Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:
Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving. Which of the following is a true statement?
a. Only option A will allow them to meet their goal.
b. Only option B will allow them to meet their goal.
c. Both options A and B will allow them to meet their goal.
d. Neither option A nor option B will allow them to meet their goal.
Answer: D (Neither option A nor option B will allow them to meet their goal.
Hope this helps!
A polynomial p(x) and a divisor d(x) are given. use long division to find the quotient q(x) and the remainder r(x). express p(x) in the form p(x) = d(x) times •q(x)plus+r(x).
What is 1 tenth of 0.04
(c) what is the probability that diameter is within 2 mm of the mean diameter? (round your answer to three decimal places.)
a. Probability density function (pdf) of X: 0.247 for 0.20 < x < 4.25.
b. Probability that diameter exceeds 2 mm: 0.556.
c. Probability that diameter is within 2 mm of the mean diameter: 0.988.
(a) Probability density function (pdf) of X:
For a uniform distribution with A = 0.20 and B = 4.25, the pdf is constant within the range A to B and 0 elsewhere. Therefore:
f(x) = 1 / (B - A) = 1 / (4.25 - 0.20) = 1 / 4.05 ≈ 0.247 for 0.20 < x < 4.25
(b) Probability that diameter exceeds 2 mm:
P(X > 2) = (4.25 - 2) * f(x) = 2.25 * 0.247 ≈ 0.556
(c) Probability that diameter is within 2 mm of the mean diameter:
The mean of a uniform distribution is (A + B)/2 = (0.20 + 4.25)/2 = 2.225.
So, we need to find P(2.225 - 2 < X < 2.225 + 2), which is P(0.225 < X < 4.225).
P(0.225 < X < 4.225) = (4.225 - 0.225) * f(x) = 4 * 0.247 ≈ 0.988
Complete question:
An article considered the use of a uniform distribution with
A = 0.20 and B = 4.25
for the diameter X of a certain type of weld (mm).
(a) Determine the pdf of X. (Round your answers to three decimal places.)
0.2<x<4.25
(b) What is the probability that diameter exceeds 2 mm? (Round your answer to three decimal places.)
(c) What is the probability that diameter is within 2 mm of the mean diameter? (Round your answer to three decimal places.)
Jana blows up the same number of balloons as jeremy, places half of them in the living room, and ties the rest to the mailbox. jeremy places some of his balloons in the kitchen and the rest in the dining room. which equation represents how many balloons were placed in each location?
a.2 + 6 = 5 + 4
b.3 + 5 = 6 + 3
c.3 + 4 = 1 + 7 eliminate
d.4 + 4 = 3 + 5
To find the initial number of chocolates Jenny had, we solve the equation (x - 2)/2 = 6, which results in x = 14. Therefore, Jenny had 14 chocolates initially.
The question asks to determine how many chocolates Jenny had in the beginning if she eats two and gives half of the remainder to Lisa, who ends up with six chocolates. To solve this, we let x represent the initial number of chocolates Jenny had. After eating two chocolates, Jenny has x - 2 left. She gives half of this remainder to Lisa, which means Lisa receives (x - 2)/2 chocolates. Since Lisa has six chocolates, we set up the equation (x - 2)/2 = 6. Solving this gives us x - 2 = 12 and therefore, x = 14. Hence, Jenny had 14 chocolates in the beginning. The correct answer is option C. 14.
Point M is the midpoint of AB . AM= 3x+3, and AB=8x−6
What is the length of AM?
The answer is 21 but i don't know the steps to get it. HELP
The length of AM is:
21 units.
Step-by-step explanation:Point M is the midpoint of AB.
AM= 3x+3, and AB=8x−6
Since, the midpoint divides the line segment into two equal parts i.e. it bisects the line segment.
Hence, we have:
AM+MB=AB
Also, AM=MB
Hence, we have:
[tex]3x+3+3x+3=8x-6[/tex]
on combining the like terms in the left hand side of the equation we have:
[tex]3x+3x+3+3=8x-6\\\\6x+6=8x-6[/tex]
Now, on subtracting both side of the equation by 6x we have:
[tex]6=8x-6-6x\\\\6=8x-6x-6\\\\6=2x-6[/tex]
on adding 6 on both side of the equation we have:
[tex]6+6=2x\\\\12=2x\\\\2x=12\\\\x=\dfrac{12}{2}\\\\x=6[/tex]
Hence, we have:
[tex]AM=3\times 6+3\\\\AM=21\ \text{units}[/tex]
What is the greatest common factor of 120 60 160?
find the sum. 12x2 + 9x2=
To calculate the sum of 12x² + 9x², add the coefficients (12 and 9) to get 21 and then multiply by x², resulting in a sum of 21x².
To find the sum of the expression 12x² + 9x², you simply add the like terms. Both terms have an x² component, so they can be combined.
Here's how you do it:
First, identify the coefficients of the x² terms, which are 12 and 9.
Next, add these two coefficients together: 12 + 9 = 21.
Finally, multiply the sum of the coefficients by x2 to get the final answer: 21x².
Therefore, the sum of 12x² + 9x² is 21x².
Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math. Another 35% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science? 6 7 27 21
Solve for x. 9(x - 2) = 18
x = 0
x = 16/9
x = 20/9
x = 4
Your friend weights 62 kg, how many grams is this?
Explain how to multiply the complex #'s (3+2i)(4-i)
What is the conclusion of the following conditional a number is divisible by two if the number is even
Mr. Scott rented a bicycle for 6 hours on Saturday and then several more hours on Sunday. It cost $4 per hour to rent the bicycle, and he paid a total of $48. For how many hours did Mr. Scott rent the bicycle on Sunday? Choose two answers: one for the equation that models this situation and one for the correct answer. A. Equation: 6(4 + x) = 48 B. Equation: 4(6 + x) = 48 C. Answer: 4 hours
Answer:
The equation that models this situation : [tex]4\times (6+x)=48[/tex]
Duration of bicycle rented on Sunday was of 6 hours.
Step-by-step explanation:
Cost of per hour to rent the bicycle = $4
Duration of bicycle rented on Saturday = 6 hours
Duration of bicycle rented on Sunday = x
Total mount paid = $48
[tex]\$4\times (6+x)=$48[/tex]
[tex]4\times (6+x)=48[/tex]
For solving for x:
[tex]x=\frac{48}{4}-6= 6[/tex]
Duration of bicycle rented on Sunday was of 6 hours.