Answer: Square Root Function
The inverse of a quadratic function is a square root function because
John leaves his house at Sam. It
takes 35 minutes to walk to
school. He then has 2 hours and 2
minutes of lessons. Break time is
15 minutes long, What time does
break finish?
Answer:
7:52am
Step-by-step explanation:
John leaves by 5:00am
He gets to school after 35 minutes
The time now is 5:00 + 0:35 = 5:35am
After 2 hours and 2 mins of lectures, the time is 5:35 + 2:02 = 7:37am
After 15 minutes, the time is 7:37 + 0:15 = 7:52am
Therefore the answer is 7:52am.
What is the solution of 10 = 15x ?
hi <3
15x = 10
divide both sides by 15
x = 0.66666
hope this helps :)
Answer:
15x = 10
x = 0.667
Step-by-step explanation:
mark me as brainliest ❤️
Last year, the Midas Middle School cafeteria served pizza on 12% of the school days. If there were 175 school days, how many times was pizza served?
Answer:
21
Step-by-step explanation:
This is extremely hard to do on paper so I used a calculator but this is my explanation. So 12% = .12 so the decimal way is 175 x .12 = 21. Pizza was 21 times.
Answer:
Pizza was served on 21 days.
Step-by-step explanation:
12% of 175 days comes out to 21 days.
Pizza was served on 21 days.
Suppose Best Buy offers an extended warranty for $25 on an electronic device whose value is $250. Suppose Best Buy estimates the probability the item will be returned for a claim on that warranty is 5%. Assume that if the item is returned, Best Buy will refund the $250 purchase price. What is Best Buy's expected value on the warranty?
Best Buy's expected value on the warranty is $1.25.
To calculate Best Buy's expected value on the warranty, we need to consider the potential outcomes and their probabilities.
If the customer doesn't return the item for a claim on the warranty, Best Buy receives $25 for the warranty but doesn't have to pay anything out. The probability of this happening is 95% (100% - 5%).
If the customer does return the item for a claim on the warranty, Best Buy has to refund the $250 purchase price but received $25 for the warranty. The probability of this happening is 5%.
So, to calculate the expected value, we can multiply the probability of each outcome by its value and add them together:
(0.95 x $25) + (0.05 x -$250) = $1.25
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which graph has the domain please help im so confused
Answer:
The third option
Step-by-step explanation:
The domain is saying x is greater than or equal to 2, so the third option fits that description.
Hopefully this helps!
Brainliest please?
ahhahanvm? shushaha bruh what do i do
\u gotta ask ur question
Step-by-step explanation:
7x + 4 = 7x + 4
O One Solution
No Solution
O
Infinitely many solutions
Pleas help 59 points
Infinitely many because if you subtract 7x from both sides, you get 4 = 4, which is true at all times no matter what x is.
determine the explicit formula for the sequence defined recursively that satisfies the following conditions. a0 = 5. an = (an-1)/2, for n = 1,2,3,.....
The explicit formula for the given sequence is an = (1/2)ⁿ(5).
The given sequence is defined recursively as a0 = 5 and an = (an-1)/2 for n = 1,2,3,.... To find the explicit formula for this sequence, we can use the general formula for a recursive sequence of the form an = f(an-1), which is given by:
an = fⁿ⁻¹)(a1), where f^(n-1) denotes the composition of the function f with itself n-1 times.
In this case, f(an-1) = (an-1)/2, so we have:
an = f(an-1) = (1/2)an-1
Substituting an-1 in terms of an-2, we get:
an = (1/2)an-1 = (1/2)(1/2)an-2 = (1/2)² an-2
Continuing this pattern, we can write:
an = (1/2)ⁿ an-n
Now, we know that a0 = 5, so substituting n = 0 in the above equation, we get:
a0 = (1/2)⁰ a0 = a0 = 5
Substituting n = 1,2,3,..., we get:
a1 = (1/2)¹a0 = (1/2)5 = 2.5
a2 = (1/2)² a0 = (1/4)5 = 1.25
a3 = (1/2)³ a0 = (1/8)5 = 0.625
and so on.
Therefore, the explicit formula for the sequence is:
an = (1/2)ⁿ a0 = (1/2)ⁿ (5)
answer in 100 words: The given sequence is defined recursively as a0 = 5 and an = (an-1)/2 for n = 1,2,3,.... To find the explicit formula for this sequence, we can use the general formula for a recursive sequence of the form an = f(an-1). By substituting the recursive formula, we get an = (1/2)^n a0. Therefore, the explicit formula for the sequence is an = (1/2)ⁿ(5). The first few terms of the sequence are a0 = 5, a1 = 2.5, a2 = 1.25, a3 = 0.625, and so on. The sequence approaches zero as n approaches infinity.
In conclusion, the explicit formula for the given sequence is an = (1/2)ⁿ (5). This formula can be used to find any term in the sequence without having to calculate the previous terms. The sequence approaches zero as n approaches infinity, which means that the terms become smaller and smaller as n increases.
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the nth term of a sequence is n²+20
work out the first 3 terms of the sequence
The first 3 terms of the sequence are 21, 24 and 29
Working out the first 3 terms of the sequenceFrom the question, we have the following parameters that can be used in our computation:
n² + 20
This means that
f(n) = n² + 20
The first 3 terms of the sequence is when n = 1, 2 and 3
So, we have
f(1) = 1² + 20 = 21
f(2) = 2² + 20 = 24
f(3) = 3² + 20 = 29
Hence, the first 3 terms of the sequence are 21, 24 and 29
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a 20 gallon tub is being filled with water at a rate of 0.5 gallons per minute. the tub originally had 5 gallons of water in it. what is the range of the fuction that represents the volume iof water in the tub after x minutes
The range of the function that represents the volume if water throughout the tub after x minutes will be "\(5 \leq V(x) \leq 20\)".
According to the question,
V(x) is volume after x minute.
then,
→ \(V(x) = 0.5x+5\)
Volume of bathtub is 20 gallons,
→ \(20=0.5x+5\)
By substracting "5" from both sides of the equation, we get
→ \(20-5=0.5x+5-5\)
→ \(15=0.5x\)
→ \(x = \frac{15}{0.5}\)
→ \(x = 30\ minutes\)
hence,
→ \(5 \leq V(x) \leq 20\)
Thus the above answer is right.
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0
(4
Зу = 4х + 15 аnd 9x + 12y = 12
Step-by-step explanation:
please give me brainlest
Vani walks from Tree 1 to Tree 2 and then to Tree 3 - covering 335 metres in all. Raj walks from Tree 2 to Tree 3, then to Tree 1, and finally returns to Tree 2 - covering 540 metres in all.
I do not understand what is your question.
find the buying price if the selling price is 240 and profit is 20 percent
Answer:
192
Step-by-step explanation:
You have to find 20% of 240.
So write 20% as 20 over 240 in fraction form.
\(\frac{20}{240}\)
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
\(\frac{20}{100}\) of 240 = \(\frac{20}{100}\) × 240
Therefore, the answer is 48
If you are using a calculator, simply enter 20÷100×240 which will give you 48 as the answer.
Now since it wants to know how much you paid for the goods you do 240-48=192
So since a company is selling goods with a 20% profit
That means they bought it from somewhere else
Because they had to be manufactured
It wants how much the company paid the company that manufactured the goods
I hope this helped. Some resources that are helpful to look at in case of any more confusion are:
https://answers.everydaycalculation.com/percent-of/20-240
https://www.mathsisfun.com/
https://www.ixl.com/
Good luck young mathematician!
a certain slide projector has a 100 mm-focal length lens. (a) how far away is the screen if a slide is placed 103 mm from the lens and produces a sharp image? (b) if the slide is 24.0 by 36.0 mm, what are the dimensions of the image? explicitly show how you follow the steps in the
The slide projector with a 100 mm-focal length lens will produce a sharp image on the screen located approximately 203 mm away from the lens when the slide is placed 103 mm from the lens. The dimensions of the image produced by a slide measuring 24.0 by 36.0 mm will depend on the magnification factor of the projector.
In order to determine the distance between the lens and the screen, we can use the lens equation:
1/f = 1/v - 1/u
where f is the focal length of the lens, v is the distance between the lens and the screen (image distance), and u is the distance between the lens and the object (slide distance). Rearranging the equation to solve for v, we have:
1/v = 1/f + 1/u
Substituting the given values, we get:
1/v = 1/100 + 1/103
Simplifying this equation gives us the value of v, which is approximately 203 mm. Therefore, the screen should be placed approximately 203 mm away from the lens to obtain a sharp image.
To determine the dimensions of the image produced by the slide, we can use the magnification equation:
magnification = -v/u
Given the values of v and u, we can calculate the magnification factor. The dimensions of the image can then be obtained by multiplying the magnification factor by the dimensions of the slide. However, without the magnification factor or additional information, it is not possible to explicitly determine the dimensions of the image.
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(1 point) A phone-in poll conducted by a newspaper reported that 72% of those who called in liked ''real TV''. (a) The number 72% is a A. population. B. sample. C. parameter. D. statistic. (b) The unknown true percentage of American citizens who like ''real TV'' is a A. sample. B. statistic. C. parameter. D. population.\
(a) The number 72% is a D. statistic.
(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.
How to know about the state of the number 72%?It is related to statistics and parameters.
(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.
A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.
How to know about the unknown true percentage of American citizens who like ''real TV''?(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.
A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.
In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.
The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.
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If P and Q are two expressions such that P divides Q without remainder, then what will be their H.C.F??
The highest common factor, termed H.C.F of the expressions P and Q such that P divides Q without remainder, is; P.
What will be the highest common factor, termed H.C.F of the expressions P and Q such that P divides Q without remainder?It follows from the task content that the highest common factor, termed H.C.F of the expressions P and Q such that P divides Q without remainder is to be determined.
Since P divides Q without reminder as indicated in the task content, it follows that P is a factor of Q and as expected, it is also a factor of itself.
Hence, it follows that the expression P can be agreed to be a common factor of P and Q and more specifically, the highest Common factor of both expressions.
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Find the missing side
Answer: 30
Step-by-step explanation:
Use Pythagorean's Theorem, a² + b² = c²
18² + 24² = c²
324 + 576 = c²
900 = c²
√900 = c
c = 30
The missing side is 30.
Hope this helps!
Given ˆpp^ = 0.2286 and N = 35 for the high income group,
Test the claim that the proportion of children in the high income group that drew the nickel too large is smaller than 50%. Test at the 0.05 significance level.
a) Identify the correct alternative hypothesis:
μ<.50μ<.50
μ>.50μ>.50
p<.50p<.50
p=.50p=.50
p>.50p>.50
μ=.50μ=.50
Give all answers correct to 3 decimal places.
b) The test statistic value is:
c) Using the P-value method, the P-value is:
d) Based on this, we
Reject H0H0
Fail to reject H0H0
e) What is the conclusion to this hypothesis test?
In the given experiment on the proportion of children in the high-income group,
(a) The correct alternative hypothesis is p < .50
(b) The value of the test statistic is -2.18
(c) The P-value is 0.0142
(d) Based on the P-value, we fail to reject H0
(e) The hypothesis is concluded as the proportion of the children in the high-income group that drew the nickel too large is at least 50%
a) Identify the correct alternative hypothesis: Based on the given question, the correct alternative hypothesis is p < 50.
b) The test statistic value is: From given, ˆpp^ = 0.2286, N = 35, and the hypothesis is p < 0.50(≈ 1 - 0.50)
Then, the test statistic value is z = (ˆp - p) / √(p*q / n)
Here,p = 0.50q = 1 - p = 1 - 0.50 = 0.50n = 35ˆp = 0.2286Then,z = (0.2286 - 0.50) / √(0.50 * 0.50 / 35)= -2.18
Therefore, the test statistic value is -2.18.
c) Using the P-value method, Since the null hypothesis is left-tailed and p < .50,
P-value = P(Z ≤ z)Here,z = -2.18P(Z ≤ -2.18) = 0.0142
Therefore, the P-value is 0.0142.
d) Since the P-value (0.0142) is less than the level of significance (α = 0.05), we reject the null hypothesis. Therefore, based on this, we fail to reject H0.
e) Since the null hypothesis cannot be rejected, it can be concluded that there is not enough evidence to support the claim that the proportion of children in the high-income group that drew the nickel too large is less than 50%.
Hence, it can be concluded that the proportion of children in the high-income group that drew the nickel too large is at least 50%.
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Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) minus log Subscript 3 Baseline (2 x) = log Subscript 3 Baseline 144 x = negative 16 x = negative 8 x = negative 4 x = negative 2.
The extraneous solution of the logarithmic problem \(\rm log_3(18x^3)-log_3(2x) = log_3 144\) is -4.
What is Logarithm?A log function is a way to find how much a number must be raised in order to get the desired number.
\(a^c =b\)
can be written as
\(\rm{log_ab=c\)
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
Solving the function using the basic logarithmic value, we get,
\(\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}\)
If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.
Hence, x=-4 is an extraneous solution.
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Answer:
x = negative 4
Step-by-step explanation:
The comment and answer above is correct.
The third term in a sequence is 25. The fifth term is 225. What are the possible values of the 4th term of the sequence if it is arithmetic? If it is geometric?
Answer:
if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)
where n is the number of term.
the 4th term is 125
if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)
where n is the number of term
the 4th term is 75
Plz help 10 points :)
Which is a correct verbal expression for
8n?
F n more than 8
G the quotient of 8 and n
H the product of 8 and n
J 8 increased by n
The correct verbal expression for 8n is "the product of 8 and n". therefore, option H is the correct choice.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The correct verbal expression for 8n is "the product of 8 and n". Therefore, option H is the correct choice.
Option F "n more than 8" would be written as "n + 8".
Option G "the quotient of 8 and n" would be written as "8/n".
Option J "8 increased by n" would be written as "8 + n".
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A line intersepts the point (3,-4) and has a slope of 17 . What is the slope-intersept equation for this line?
Answer:
y=17x-55
Step-by-step explanation:
y-(-4)=17(x-3)
y+4=17x-51
y=17x-55
Examine the solution to the equation.
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30+3=-2x–8 – 4x
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation.
-6x-27 = -6x - 8
-27 = -8
Any input value for the variable will generate a false
equation.
Intro
Done
Answer:
The answer is 2 and 5
Step-by-step explanation:
please answer thisss <3
Answer:
i think . it is c
Step-by-step explanation:
IF YOU HELP ME WITH THIS YOU WILL GET 25 POINTS! LINKS=REPORTED!
Answer:
22. acute triangle
23. right triangle
24. equilateral triangle
25. right triangle
Step-by-step explanation:
let me know if any of these are wrong
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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What is an equation of the line that passes through the points (7, 4) and ( -5, 4)?
Answer:
y = 4
Step-by-step explanation:
To find the slope, you plug the coordinates into the slope formula.
y2 - y1/ x2 - x1
= 4 - 4/ -5 - 7
= 0
The slope is 0.
To find the y-intercept, y = 0x + b
4 = 0(7) + b
4 = 0 + b
4 = b
The equation is y = 4
Got stuck on this one can someone help and explain if you can.
Answer:
the answer is 29.61
Step-by-step explanation:
cross multiply or set up a basic multiplication box removing the decimals and adding it back
the plane traveling from boston traveled at an average speed of 360 miles per hour. the plane traveling from kansas city arrived at 10:34 a.m. how many minutes before the plane from boston arrived did the plane from kansas city arrive?
From Boston to Kansas City, it takes 20 minutes to get there. When calculating the plane's arrival time, multiply the 360 mph speed from Boston by the 864 mi distance to Chicago.
what is distance ?Regardless of an object's beginning or ending position, we can define distance as the amount of ground it has traveled.
given
When calculating the plane's arrival time, multiply the 360 mph speed from Boston by the 864 mi distance to Chicago.
Distance = rate*time
864 = 360t,
t = 2.4
In other words, the flight arrived after 2.4 hours. Given that this is longer than two hours, divide the number by sixty to determine the time in minutes:
60 * 2.4 = 144 minutes. Assess the flight's travel time from Kansas City now.
It took 2 hours, 4 minutes, or 124 minutes from the time it departed at 8:30 AM to the time it arrived at 10:34 AM.
According to this, the jet from Kansas City arrived 144 – 124 = 20 minutes earlier than the plane from.
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