Which is NOT an example of kinetic energy
Question 8 options:
a skateboard rolling down a hill.
an arrow after it has hit the target and is at rest.
a skydiver as they decrease speed after opening their parachute.
an elevator moving up to the 3rd floor,
Answer: an arrow after it has hit the target and is at rest.
Step-by-step explanation:
Kinetic energy has to do with energy which a body possesses by virtue of being in motion. The arrow is not in motion anymore
Help !! Write the quadratic equation in standard form
Answer:
\(f(x)=-2x^2-6x-6\)
Step-by-step explanation:
\(2x^2+2+5x=-4-x\)
\(2x^2+2+5x-5x=-4-x-5x\\ 2x^2+2=-4-6x\\ 2x^2-2+2=-4-2-6x\\ 2x^2=-6-6x\\ 2x^2-2x^2=-2x^2-6x-6\)
The school that Brenda goes to is selling tickets to a choral performance. On the first day of
ticket sales the school sold 14 adult tickets and 5 student tickets for a total of $140. The school
took in $190 on the second day by selling 10 adult tickets and 10 student tickets. What is the
price each of one adult ticket and one student ticket?
The price of one adult ticket is $5 and one student ticket is $14
What is algebra ?Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.
Given that : first day of ticket sales the school sold 14 adult tickets and 5 student tickets for a total of $140. The school took in $190 on the second day by selling 10 adult tickets and 10 student tickets.
Let the price for adult ticket x and for student ticket y
we have ,
14x + 5y =140.....(i)
10x + 10y = 190....(ii)
10 x + 10y = 190
x + y = 19
y = 19-x .....(iii)
put the value of y in equation i
14x + 5(19-x) = 140
14x + 95 - 5x = 140
9x = 45
x = 5
Now put value of x in equation iii
y = 19 - 5
y = 14
The price of one adult ticket is $5 and one student ticket is $14
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q1. you observe that a numerical variable in your project follows a normal distribution. what percent of observations do you expect to be contained within 1.25 standard deviations of the mean
In a normal distribution, approximately 89% of the observations are expected to be contained within 1.25 standard deviations of the mean.
This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that:
- Approximately 68% of the observations fall within 1 standard deviation of the mean.
- Approximately 95% of the observations fall within 2 standard deviations of the mean.
- Approximately 99.7% of the observations fall within 3 standard deviations of the mean.
Since 1.25 standard deviations is between 1 and 2 standard deviations, we can estimate that about 89% of the observations will fall within this range.
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100 POINTS AND BRANLIEST SUPER EASY
For which equation is (4, 3) a solution?
y = x + 3
y = 3 x – 4
y = 2 x – 5
y = 2 x – 1
Answer:
y = 2 x – 5
Step-by-step explanation:
We can check all of them starting with equation 1.
y = x + 3
3 = 4 + 3
3 = 7
NOT TRUE
Equation 2:
3 = 3(4) - 4
3 = 12 - 4
3 = 8
NOT TRUE
Equation 3:
3 = 2(4) - 5
3 = 8 - 5
3 = 3
TRUE!
This means the last equation is not true.
Question content area top
Part 1
Find the standard form of the equation of the parabola satisfying the given conditions.
Vertex: (,); Focus: (,)
Question content area bottom
Part 1
The standard form of the equation is
enter your response here.
(Type an equation. Simplify your answer.)
The standard equation of parabola that has focus (5, 0) and directrix x = -5 is y² = 20x.
We have,
focus of the parabola is (5, 0).
Directrix x = -5
The standard equation of parabola,
(y - k)² = 4 p (x - h)
where Vertex = (h, k)
So, (h, k)
= ((x coordinate of focus + directrix)/2 , 0)
= ((5 - 5)/2, 0)
= (0, 0)
and, p = distance from focus to the vertex = 5 - 0 = 5
Thus, The required equation of parabola,
(y - 0)² = 4 × 5(x - 0)
y² = 20x
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A salt-water tank needs to contain 5 gallons of water for each 1-inch fish. If Ian has a 30-gallon tank, predict how many inch-long fish he can have.
Answer: 6 one inch fish
Step-by-step explanation: he needs to have 5 gallons of water for every one-inch fish. 6 x 5 is 30
is a fraction a term? If it's not a term, why is it that we can apply the distributive property to it? the distributive property only works for either terms, or addition and subtraction. a fraction is technically division, so why does it work? Please help!!!!!
No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.
A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.
The distributive property states that for any real numbers a, b, and c:
a × (b + c) = (a × b) + (a × c).
When working with fractions, we can apply the distributive property as follows:
Let's consider the expression: a × (b/c).
We can rewrite this as: (a × b)/c.
Now, let's distribute the 'a' to 'b' and 'c':
(a × b)/c = (a/c) × b.
In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.
Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.
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5) A Sum money was divided between two friends, karen and Natasha the ratio în 2:5, If Natasha recived $210 more than the sum karen, calculate sum of money shared
The sum of money shared between Karen and Natasha is $262.50.
How to find the sum sharedDenote the amount of money Karen received as x.
According to the given ratio, Natasha received 5 times the amount Karen received, which is 5x.
we can set up the equation:
5x = x + $210
solve for x
5x - x = $210
4x = $ 210
x = $210 / 4
x = $52.50
Therefore, Karen received $52.50.
the sum of money shared
sum of money shared = Karen's amount + Natasha's amount
sum of money shared = $52.50 + $210
sum of money shared = $262.50
Hence, the sum of money shared between Karen and Natasha is $262.50.
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The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1
B. -1
C. 5
D. -5
I really need help
Answer:
C
Step-by-step explanation:
i did it already
Rewrite f(x) into vertex form by completing the square f(x)=−x2+8x+9
Answer:
vertex = ( 4 , 25 )
Step-by-step explanation:
given a parabola in standard form y = a x 2 + b x + c x ; a ≠ 0
then the x-coordinate of the vertex is
X vertex=-b/2a
y=-x2+8x+9 with a=-1 b=8 c=9
X vertex= -8/-2=4
substitute the value on the equation
Y vertex = -(4)squared+8(4)+9=25
Please answer correct its not 9 units
A right triangular prism and its net are shown below.
(All lengths are in centimeters.)
Answer:
A=4
B=8
C=6
D=10
SA=208
Surface area=bh+(s1+s2+s3)H
=6×8+(4+6+10)(8)
=208
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP MEEEEEE! ILL GIVE BRAINLYY
haha
Answer:
D
Plzzzzz give me Brainliest!!!!!
100 points whoever gets it right
Answer:
x=3
Step-by-step explanation:
\(9x+11=4x+26\\5x=15\\x=3\)
Answer:
Step-by-step explanation:
The X Form = 3
In 2008, Yolanda paid $3,875 in Social Security tax. If the Social Security tax rate was 6.2% to the maximum income of $94,200 that year, what was Yolanda's taxable income
The Yolanda's taxable income is $62,500.
What is income tax?
An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate.
Given:
In 2008, Yolanda paid $3,875 in Social Security tax.
The Social Security tax rate was 6.2% to the maximum income of $94,200 that year.
Lets assume Yolanda´s income be `x`.
Now, calculating the taxable income of Yolanda
6.2% x (x) = 3875
\(\frac{6.2}{100} (x) = 3875\\x = 3875(\frac{100}{6.2}) \\x = 62500\)
Hence, the Yolanda's taxable income is $62,500.
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a business organization needs to make up a 5 member fund-raising committee. the organization has 10 accounting majors and 8 finance majors. what is the probability that at most 2 accounting majors are on the committee?
The probability that at most 2 accounting majors are on the committee is 60.6%.
To solve this problem, we can use the binomial probability formula:
P(X ≤ 2) = ΣP(X = i), where i = 0, 1, or 2
P(X = i) = (n choose i) * p^i * (1-p)^(n-i)
where n is the total number of available majors (18), p is the probability of selecting an accounting major (10/18), and (n choose i) is the binomial coefficient which gives the number of ways to select i accounting majors from n total majors.
So, to find the probability that at most 2 accounting majors are on the committee, we need to sum the probabilities of selecting 0, 1, or 2 accounting majors.
P(X = 0) = (8 choose 5) * (10/18)^0 * (8/18)^5 = 0.018
P(X = 1) = (10 choose 1) * (10/18)^1 * (8/18)^4 = 0.219
P(X = 2) = (10 choose 2) * (10/18)^2 * (8/18)^3 = 0.369
Therefore, P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.018 + 0.219 + 0.369 = 0.606 or 60.6%
So the probability that at most 2 accounting majors are on the committee is 60.6%.
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((50+50+50)*85)*0.9=
Answer:
(150*85)*0.9
=12750*0.9
=11475
Answer:
11475
Step-by-step explanation:
((50+50+50)*85)*0.9=
(150*85)*0.9=
12750*0.9=
11475
A school auditorium has 300 seats. If 89 people have tickets for the school play, how many people can attend? Let p be a number of people who can attend: Help PLEASE
Answer:
300-89 would equal your equasion which would be 211
Step-by-step explanation:
But there are 2 ways to think of it becaue=se if u used the people in the school to play on the stage there are still 300 seats left or your teacher would think of it as being 300-89=211 so this word problem has 2 answers!
You download 15 music files on your computer and plan to save 7 of them to an MP3 player. In how many ways can u arrange the songs
Answer:
32,432,400
Step-by-step explanation:
This you can use a permutation.
P(15,7)15x14x13x12x11x10x9
There are 32,432,400 ways to arrange it.
Use f(x) log6(36x) and g(x) = 6* to answer the questions below. (a) Find f(g(x)) and simplify. 36+ x 36x 6 + x 2+ x 2x (b) Find the range of y f(x) +g(x) (-0, ) [6, 00) (0, o) O[1, 0o) O (1/36, o)
To find f(g(x)), substitute g(x) into f(x). Simplifying gives f(g(x)) = log6(36g(x)). For range of y in f(x) + g(x), Take possible values . Since log6(36x) is defined for x > 0, and 6 is positive, the range of y is (0, ∞).
a) To find f(g(x)), we substitute g(x) into f(x):
f(g(x)) = f(6x) = log6(36(6x)) = log6(216x) = log6(6^3x) = 3log6(6x) = 3(log6(6) + log6(x)) = 3(1 + log6(x)) = 3 + 3log6(x).
Thus, f(g(x)) simplifies to 3 + 3log6(x).
(b) To find the range of y in f(x) + g(x), we need to consider the possible values of f(x) and g(x). Since log6(36x) is defined for x > 0, and 6* is always positive, the range of f(x) is (0, ∞). Similarly, g(x) = 6* is always positive, so the range of g(x) is also (0, ∞).When we add f(x) and g(x), we are adding two positive functions, resulting in values greater than 0. Therefore, the range of y in f(x) + g(x) is (0, ∞).
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Evaluate the expression 2(8 − 4)2 − 10 ÷ 2
Step-by-step explanation:
\(2(8 - 4)2 - 10 \div 2\)
Follow PEMDAS
\(2 \times (2 \times 8 - 2 \times 4) - 10 \div 2 \\ 2(16 - 8) - 10 \div 2 \\ 2(8) - 10 \div 2 \\ 16 - 10 \div 2 \\ 16- 5 \\ =11\)
Answer:i think the answer is 27
Step-by-step explanation:
Can someone help please how do you solve (3x-5)(3x+5) It would be so much help high school is so stressful right now
Answer:
Step-by-step explanation:
(3x−5)(3x+5)
Multiplication can be transformed into difference of squares using the rule: (a−b)(a+b)=a
2
−b
2
.
(3x)
2
−5
2
Expand (3x)
2
.
3
2
x
2
−5
2
Calculate 3 to the power of 2 and get 9.
9x
2
−5
2
Calculate 5 to the power of 2 and get 25.
9x
2
−25
A water tank can be filled by an inlet pipe in 8 hours. It takes 3 times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open
If both pipes are open, the outlet pipe will empty the tank faster than the inlet pipe can fill it, and the tank will never be filled.
Let us consider the work done by the inlet pipe as positive (+) and the work done by the outlet pipe as negative (-). Suppose the work done by the inlet pipe is represented as x, and the work done by the outlet pipe is -3x.
We know that the time taken by the inlet pipe to fill the tank is 8 hours. Therefore, we can determine the rate of work of the inlet pipe as:
Rate of work = Work done / Time taken = x / 8
Since the outlet pipe is emptying the tank, its rate of work is negative. We are given that it takes 3 times as long for the outlet pipe to empty the tank compared to the inlet pipe to fill it. Thus, the outlet pipe takes 8 x 3 = 24 hours to empty the tank, and its rate of work is:
-3x / 24 = -x / 8
The question asks how long it will take to fill the tank if both pipes are open. When both pipes are open, their rates of work add up. Hence, we can state that:
Rate of work of both pipes = x / 8 - x / 8 = 0
We know that work done is given by the equation: Work done = Rate of work x Time taken
Therefore, the work done by both pipes is: 0 x t = 0, where t represents the time taken to fill the tank with both pipes open. This implies that the work done by the inlet pipe must equal the work done by the outlet pipe. In other words:
x = -3x / 24
Multiplying both sides by 24 gives us:
24x = -3x
Simplifying this equation yields:
27x = 0
x = 0
Thus, the inlet pipe and outlet pipe cancel each other out when they are open together. This means that the tank will never get filled. However, this scenario is impossible given the fact that the tank can be filled by the inlet pipe alone in 8 hours.
Therefore, it is not possible to fill the tank if both pipes are open. The reason is that the outlet pipe takes 24 hours to empty the tank, which is three times as long as it takes the inlet pipe to fill it. Consequently, if both pipes are open, the outlet pipe will empty the tank faster than the inlet pipe can fill it, and the tank will never be filled.
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250 college students were surveyed about if they liked the food choices offered by the cafeteria. 140 people said that they did like the choices offered. what percentage of the students like the food offered? fill in the blank 1%
So, on solving the provided question we can say that Percent = 140/250 x100 = 56%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
A percentage is a ratio of one unit of an event's result to the entire sample multiplied by 100%. It denotes parts per 100. We divide the percentage of the sample that liked the options by the total sample to arrive at the calculation. As a result, we compute:
Percent = 140/250 x100 = 56%
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Investments increase exponentially by
26% every 3 years. If you start with a
$2,000 investment, how much money would you have after 45 years?
would you have after 45 years?
First, complete the equation:
Future Amount = 2,000 (1 + [?])
Enter
The amount of money I would have after 45 years with an exponential increase is $64,060.18.
What is the future value of $2000?The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value R = interest rate N = number of years = 45 / 3 = 15 years$2000 x (1.26)^15 = $64,060.18
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Please help me work this out
Answer:
14400 boxes
Step-by-step explanation:
After looking at this question you would first see that it is looking for how many cuboids can fit into the container. That would mean that the final equation should be the volume of container divided by the volume of the cuboid.
First, we can find the volume of the container. Keep in mind that the volume of a rectangular prism is V=Bh (which means area of the base times the height)
For the base we would do (600)(200) which is 120000
Next, the height is 300, so we would times that by 120000 (which is 36000000)
Moving on to the cuboid!
We would do the same process, but with smaller units.
(same equation) V=Bh
B= (50)(20)
=100
(100)(25)=2500
Lastly, like mentioned in the beginning, take the volume of the container and divide by the volume of the cuboid.
36000000/2500=14400
Therefore, 14400 boxes can fit into this container!
Hope this helps! :)
Answer:
Step-by-step explanation:
so they made the boxes fit perfectly into the container.. as they are.
notice that each of the dimensions of the box fit perfectly into the dimensions of the container.
length container of 600 / length of box 50=12
width of container of 200 / width of box 20 = 10
height of container of 300 / heigth of box 25 = 12
now just multiply those 3 answers
12 * 10 * 12 = 1440 boxes :)
BTW ( by the way ) I can see by what you have erased you did do the
300 ÷25 =12 correctly , (300/25), and the
200÷20 = 10 correctly, (200/20) but the
600÷50 = 20 was not correct. You can check this in your head really quickly by just multiplying 50*20 = 1000 , now you know that's not right, so then do 50*10=500 , that's close, hun, now just add 2 more 50s for a total of 600 and 12 , 50s :) see??
You spend $124.54 at Walmart but have to pay the addition 8.5% sales tax. How much sales tax do you owe?
The sales tax owed on a $124.54 purchase at Walmart with an 8.5% sales tax rate is $10.59.
Suppose you spent $124.54 at Walmart and the sales tax rate is 8.5%. To calculate how much sales tax you owe, we first need to convert the sales tax rate from a percentage to a decimal. We do this by dividing the percentage by 100. So, the sales tax rate in decimal form is:
8.5% ÷ 100 = 0.085
Next, we multiply the purchase price by the sales tax rate in decimal form to calculate the amount of sales tax owed:
$124.54 × 0.085 = $10.59
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Ruth, a 58-year-old taxpayer, has a self-only health savings account (HSA) and was enrolled in a high-deductible health plan (HDHP) during 2018. Ruth's employer made a $1,000 contribution to her HSA. If Ruth chooses to make an additional contribution for the tax year, what is the maximum amount she may contribute?
Ruth can contribute $2400 as the maximum amount as an additional contribution for the tax year.
People enrolling in high-deductible health plan (HDHP) receive Healthy Savings Account (HSA) with tax advantages. It offers no income tax on the money saved, which can also be carried forward in case of job switch, retirement and varied health plans.
It allows total contribution of $3400 for medical expenses from employers and employees.
Based on this data, the maximum contributional amount can be = 3400 - 1000
Maximum contributional amount = $2400
Hence, the maximum contributional amount is $2400.
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Consider the function f(x)=7x+5x^−1. For this function there are four important intervals: (−[infinity],A], [A,B) (B,C], and [C,[infinity]) where A, and C are the critical numbers and the function is not defined at B.
Find A
and B
and C
For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC).
(−[infinity],A]:
[A,B):
(B,C]:
[C,[infinity]):
(−[infinity],B):
(B,[infinity]):
The function is not defined at \(B\), so we cannot determine the behavior of \(f(x)\) in this interval.
To find the critical numbers and determine the intervals of increase or decrease for the function \(f(x) = 7x + 5x^{-1}\), we need to find the values of \(A\), \(B\), and \(C\), and analyze the intervals accordingly.
Step 1: Find the critical numbers
Critical numbers occur where the derivative of the function is either zero or undefined. Let's find the derivative of \(f(x)\):
\(f'(x) = 7 - 5x^{-2}\)
To find the critical numbers, we set \(f'(x) = 0\) and solve for \(x\):
\(7 - 5x^{-2} = 0\)
\(5x^{-2} = 7\)
\(x^{-2} = \frac{7}{5}\)
Taking the reciprocal of both sides:
\(x^2 = \frac{5}{7}\)
\(x = \pm \sqrt{\frac{5}{7}}\)
Thus, the critical numbers are \(A = -\sqrt{\frac{5}{7}}\) and \(C = \sqrt{\frac{5}{7}}\).
Step 2: Determine the intervals of increase or decrease
To analyze the intervals of increase or decrease, we need to consider the sign of the derivative in each interval.
\((-\infty, A]\): To the left of \(A\), the derivative is positive since \(f'(x) = 7 - 5x^{-2}\) is positive for \(x < A = -\sqrt{\frac{5}{7}}\). Therefore, \(f(x)\) is increasing in this interval. (INC)
\([A, B)\): The function is not defined at \(B\), so we cannot determine the behavior of \(f(x)\) in this interval.
\((B, C]\): The function is not defined at \(B\), so we cannot determine the behavior of \(f(x)\) in this interval.
\([C, \infty)\): To the right of \(C\), the derivative is negative since \(f'(x) = 7 - 5x^{-2}\) is negative for \(x > C = \sqrt{\frac{5}{7}}\). Therefore, \(f(x)\) is decreasing in this interval. (DEC)
\((-\infty, B)\): The function is not defined at \(B\), so we cannot determine the behavior of \(f(x)\) in this interval.
\((B, \infty)\): The function is not defined at \(B\), so we cannot determine the behavior of \(f(x)\) in this interval.
In summary:
\((-\infty, A]\): \(f(x)\) is increasing (INC).
\[A, B)\): Behavior cannot be determined.
\((B, C]\): Behavior cannot be determined.
\([C, \infty)\): \(f(x)\) is decreasing (DEC).
\((-\infty, B)\): Behavior cannot be determined.
\((B, \infty)\): Behavior cannot be determined.
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