Answers
√(36) < -17
6 < -17 is false.
Related Questions
What 2-dimensional shape can be rotated about the y-axis to create a cylinder which has a smaller diameter than height?
Answers
write 0.08 as a decimal and fraction
Answers
As a fraction it is 2/25
0.08 is already a decimal.
To make 0.08 into a fraction, look at the image attached.
The delivery van arrives at an office every day between 3 PM and 5 PM. The office doors were locked between 3:15 PM and 3:35 PM. What is the probability that the doors were unlocked when the delivery van arrived?
A. 5/6
B. 5/12
C. 1/3
D. 1/6
Answers
So A. 5/6 is the answer.
The probability that the office doors were unlocked when the delivery van arrived is 5/6. The correct option is A. 5/6.
To determine the probability that the office doors were unlocked when the delivery van arrived, we first need to understand the time intervals:
The delivery van arrives between 3 PM and 5 PM, which is a total of 2 hours or 120 minutes. The office doors were locked between 3:15 PM and 3:35 PM, which is a total of 20 minutes.The total available time for the delivery van to arrive is 120 minutes, out of which the doors were locked for 20 minutes.
Now, we'll calculate the probability that the doors were unlocked:Unlocked time = Total time - Locked time = 120 minutes - 20 minutes = 100 minutesProbability = Unlocked Time / Total TimeProbability = 100 / 120 = 5/6.Factor the expression.
k^2 - 18k + 81
Answers
Answer:
The answer is (k-9)(k+9)
Step-by-step explanation:
Joy is collecting rocks. she has 3 jars and 4 buckets. there are 2 rocks in each jar and 3 rocks in each bucket. how many rocks does joy have?
Answers
18 is the answer folks.
The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month. How many members will there be in 9 months? Enter your answer in the box. Round to the nearest whole number.
Answers
Answer:639
Step-by-step explanation:
The equation for exponential growth is: initial amount( 1 + rate in decimal form)^time
So we put in our numbers and it is: 412( 1 + 0.5) ^ 9 = 639 (rounded)
I know this is late but I hope I helped anyone who's looking for an explanation now!
To estimate the number of members on a social website after 9 months with a 5% monthly growth rate, use the formula for exponential growth. After calculations, there will be approximately 639 members after 9 months.
Explanation:The question is related to exponential growth, which is a topic in mathematics. To calculate the number of members on a social website after 9 months given a monthly growth rate of 5%, you can use the formula for exponential growth:
Future Value = Present Value * (1 + growth rate)^number of periods
In this case, the Present Value is 412 members, the growth rate is 5%, or 0.05 when expressed as a decimal, and the number of periods is 9 months. Plugging these values into the formula gives:
Future Value = 412 * (1 + 0.05)^9
Calculating this gives:
Future Value ≈ 412 * (1.05)^9 ≈ 412 * 1.55132822 ≈ 639.25
After rounding to the nearest whole number, there will be approximately 639 members on the social website after 9 months.
The triangles are similar. Find the value of a. Picture shown below.
Answers
If the public debt of a country in 2009 was $12,752,000,000,000 and the budget for 2010 was in deficit by $201,645,000,000, what was the public debt in 2007?
Answers
Answer:
$ 12953645000000
Step-by-step explanation:
To find the public debt in 2007, subtract the deficit for 2008 from the public debt in 2007.
Explanation:To calculate the public debt in 2007, we need to work backwards from the given information. We know that the public debt in 2009 was $12,752,000,000,000 and the budget for 2010 was in deficit by $201,645,000,000. We can assume that the deficit for each year is equal to the change in the public debt from the previous year. So, we subtract the deficit for 2010 from the public debt in 2009 to find the public debt in 2010. Then, we subtract the deficit for 2009 from the public debt in 2010 to find the public debt in 2008. Continuing this process, we can subtract the deficit for 2008 from the public debt in 2007 to find the answer.
To summarize, we can find the public debt in 2007 by subtracting the deficit for 2008 from the public debt in 2007.
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The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k.
What is the value of K?
Answers
y=x^2 touch origin
now it is shifted to (4,5)
so new equation will be:
f(x)-5 = (x-4)2
f(x)= (x-4)2 + 5
so k=5
I hope my answer has come to your help. God bless and have a nice day ahead!
A SOCCER TEAM IS LIKELY TO SCORE A GOAL AT ANY TIME DURING A GAME . WHAT IS THE PROBABILITY IT SCORES DURING THE FIRST HALF ?
Answers
If a soccer team is going to score a goal with a probability of p, then p/2 will give the probability of scoring in the first half.
This is simple enough to prove, since scoring in the first half and scoring in the second half are totally independent of each other, and equally likely.
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
Mike has $126 to spend at the amusement park he spends about 25% of the money on his tickets into the park how much does my cat have left to spend
Answers
126 - 31.5 = 94.5
Mike has $94.5 to spend.
If f(x) = 9x + 1, find f–1 (f (3))
Answers
Answer:
The value of [tex]f^{-1}(f(3))[/tex] is 3.
Step-by-step explanation:
Here, the given function is,
[tex]f(x)=9x+1-----(1)[/tex]
For finding [tex]f^{-1}(f(3))[/tex] we have to find out the inverse of f(x),
The steps are as follows,
Step 1 : Replace f(x) by y,
[tex]y=9x+1[/tex]
Step 2 : Switch x and y,
[tex]x=9y+1[/tex]
Step 3 : Isolate y in the left side,
[tex]-9y=1-x[/tex]
[tex]\implies y = \frac{x-1}{9}[/tex]
Step 4 : replace y by [tex]f^{-1}(x)[/tex],
[tex]f^{-1}(x)=\frac{x-1}{9}------(2)[/tex]
Now,
[tex]f^{-1}(f(3))=f^{-1}(9\times 3+1)[/tex] ( From equation (1) )
[tex]=f^{-1}(28)[/tex]
[tex]=\frac{28-1}{9}[/tex] ( From equation (2) )
[tex]=\frac{27}{9}[/tex]
[tex]=3[/tex]
The shorter tree is 10.5 ft. tall, and casts a shadow that is 11.25 feet long.if the taller tree casts a 17.5 ft. shadow,how tall is the tree?
Answers
By using proportions based on the concept of similar triangles, the height of the taller tree is calculated to be approximately 16.3 feet tall.
Explanation:The question asks us to compare the heights and shadows of two trees to determine the height of the taller tree given the height and shadow length of the shorter tree and the shadow length of the taller tree. Since both trees will cast shadows in the same proportions if they're under the same conditions of light, we can use similar triangles to find the height of the taller tree.
The shorter tree is 10.5 ft tall and casts a shadow that is 11.25 feet long. If the taller tree casts a 17.5 ft shadow, we can set up a proportion as follows:
Height of the shorter tree / Shadow of the shorter tree = Height of the taller tree / Shadow of the taller tree
10.5 ft / 11.25 ft = Height of the taller tree / 17.5 ft
From the proportion, we can solve for the height of the taller tree:
Height of the taller tree = (10.5 ft / 11.25 ft) × 17.5 ft
Height of the taller tree = 16.333... ft
So, the taller tree is approximately 16.3 feet tall.
A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. What is the median of the car price range?
Answers
The correct answer is: C. The median will shift to the right.
Adding 200 cars with prices less than $5,000 will increase the number of cars being sold overall but will not significantly affect the upper end of the price range. Since the added cars are all below $5,000, they will contribute to the left side of the distribution.
As a result, the median, which represents the middle value of the distribution, will shift to the right, reflecting the increase in the number of lower-priced cars being sold.
The mean may or may not be affected, depending on the relative prices of the additional cars compared to the existing distribution, but it's not guaranteed to shift in any particular direction.
Similarly, the median and mean do not necessarily have to be the same, so option B is not accurate. Thus, option C is the most appropriate choice.
Complete question:
Car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. The salesman has observed that many students are looking for cars that cost less than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?
A. The mean will shift to the right.
B The mean and the median will be the same.
C The median will shift to the right.
D The mean will shift to the left.
The inverse of the function f(x) = 1/2x + 10 is shown.
h(x) = 2x – ?
What is the missing value?
Answers
f ( x ) = 1/2 x + 10
y = 1/2 x + 10
- 1/2 x = - y + 10 / * ( - 1 )
1/2 x = y - 10 / * 2
x = 2 y - 20
f^(-1) ( x )= 2 x - 20
h ( x ) = 2 x - 20
Answer:
The missing value is 20.
Answer:
The Answer is 20
Step-by-step explanation:
if ya know ya know
Shannon manages a crew of painters. a homeowner paid the crew $560 to paint a garage. shannon received $164 of the money, and she shared the rest equally among the other three members of her crew. how much money did each of the three crew members receive for the job?
Answers
396 / 3 = 132....each of the 3 crew members received $ 132
Each of the three crew members received $132 for the job.
Step-by-step explanation:Total amount paid to Shannon = $560
Share received by Shannon = $164
So, money left for other 3 members = [tex]560-164=396[/tex] dollars
As Shannon shared the left money ($396) equally among the other three members of her crew, so each person got :
[tex]\frac{396}{3}[/tex] = $132
Therefore, each of the three crew members received $132 for the job.
Silver scooter finds that it costs $300 to produce each scooter and the fixed costs are $750. The price is given by p=900-x, where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters that the company should produce and the price it should charge to maximize profit. Find the maximum profit. ...?
Answers
To maximize profit, the company should produce 300 scooters and charge a price of $600. The maximum profit is $88,500.
Explanation:The company should produce a quantity of scooters that maximizes profit. To find this quantity, we need to find the point where marginal revenue (MR) equals marginal cost (MC). In this case, MR is given by the derivative of the price equation, which is -1. So, we set -1 equal to the derivative of the cost equation and solve for x:
-1 = 300
This gives us x = 300. So, the company should produce 300 scooters to maximize profit. To find the price, we substitute this value of x into the price equation:
p = 900 - 300 = 600
Therefore, the company should produce 300 scooters and charge a price of $600 to maximize profit. The maximum profit can be calculated by subtracting the total cost from the total revenue. The total revenue is given by the price multiplied by the quantity sold, and the total cost is given by the fixed costs plus the cost per unit multiplied by the quantity sold. Using the given values, we have:
Total revenue = 600 * 300 = $180,000
Total cost = 750 + 300 * 300 = $91,500
Maximum profit = Total revenue - Total cost = $180,000 - $91,500 = $88,500
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Steve takes 6 hours to get the yard work done by himself. If Bill works alone, it takes him 10 hours. How long would it take them working together to do all of the yard work?
Answers
s = 1/6 of the yard in one hourb = 1/10 of the yard in an hour
working together they can do:
1/6 + 1/10 in an hour; or 16/60; we can invert this number to determine how long it takes to finish the yard
60/16 hours
=3 hours and 45 minutes
Answer:
In 3 hour 45 minutes Both working together do all of yard work.
Step-by-step explanation:
Time taken by Steve to do yard work = 6 hours
Work Done by Steve in a hour = [tex]\frac{1}{6}[/tex]
Time taken by Bill to do yard work = 10 hours
Work Done by Steve in a hour = [tex]\frac{1}{10}[/tex]
Work done by both in a hour = [tex]\frac{1}{6}+\frac{1}{10}=\frac{5+3}{30}=\frac{8}{30}=\frac{4}{15}[/tex]
Time taken by by both working together = [tex]\frac{1}{\frac{4}{15}}=\frac{15}{4}=3.75=3\,hour\,45\,minutes[/tex]
Therefore, In 3 hour 45 minutes Both working together do all of yard work.
Which expression is equivalent to x1/2y5/2 in simplified form?
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Which of the following is an equivalent representation of 3Which of the following is an equivalent representation of 3^-4 ?
A. 1/9
B. 1/81
C. 1/27
D. 1/256
Answers
remember[tex]x^{-m}= \frac{1}{x^m} [/tex]
so
[tex]3^{-4}= \frac{1}{3^4}= \frac{1}{81} [/tex]
B is the answer
Answer:
B
Step-by-step explanation:
edge
Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same point at 40 mph in the same direction as car A. At what time will car B pass car A?
Answers
=> D1 = 30 t
Car B starts at 10 am and will therefore have spent one hour less than car A when it passes it.
After (t - 1) hours, distance D2 traveled by car B
=> D2 = 40 (t - 1)
When car B passes car A, they are at the same distance from the starting point and therefore D1 = D2
=> 30 t = 40 (t - 1)
Solve the equation for t,
=> 30 t = 40t - 40
=> 10 t = 40
=> t = 4
=> Car B passes car A at = 9 + 4 = 13 pm.
Which statement can be used to prove that a given parallelogram is a rectangle?
The diagonals of the parallelogram are congruent.
The opposite angles of the parallelogram are congruent.
The consecutive sides of the parallelogram are congruent.
The diagonals of the parallelogram bisect each other.
Answers
Just took the test, hope the picture helps! :)))
What is a equalateral triangle?
Answers
Hope this helps!
Step-by-step explanation:
An equalateral triangle is a triangle that has all congruent sides, just like a square. To tell a triangle can be labeled on there sides, if the numbers are the same that means they are all equal, which is why it is called an equalateral triangle, to represent that it has equal sides!
Cheers!
What is the greatest common factor of 15t and 21?
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3x5=15 3x7=21. so we have 3.. lets try 4.. 4x?=15...4x?=21..nothing.lets try 5. we know 5 x 3= 15 but 5x21..nothing. so lets try 6. 6x?=15..nothing.. 6x?=21..nothing.. lets try 7..7x?=15...nothing..7x?=21..3 but we are trying to find a same number that can multiply something and get those 2 numbers. so lets try 8.. 8x?=15... nothing 8x?=21.. nothing.. lets try 9..9x?=15? nothing.
9x?=21 nothing.. lets try 10.. 10x? =15 ..nothing we cant do that.. 10x?=21 nothing.. so we have 3 so far that's the greatest common factor.. so your answer is 3
How much money invested at 5% compounded continuously for 3 years will yield $820
Answers
x=820 divided by 1.05^2 or 820/1.0025
What is the elasped time for 9:30p.m to8:30a.m?
Answers
12:30+8:30 = 8:30
2:30 + 8:30 = 11:00
11 total hours elapsed
hope this helps you
what happens to the graph of a line when the slope is negative? Check all that apply. may choose more then 1.
A. As the absolute value of the negative slope gets bigger, the graph of the line gets steeper.
B. As the absolute value of the negative slope gets smaller, the graph of the line gets steeper.
C. The line goes down from left to right.
D. The line shifts down.
E. The line goes up from left to right
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Which equation translates to the sentence "the sum of fifty-three and x, minus ten, is y."
a. 53 y ��� 10 = x
b. 53y x = 10
c. 53x ��� y = 10
d. 53 x ��� 10 = y?
Answers
The sentence translates to the algebraic equation '53 + x - 10 = y,' which simplifies to 'x + 43 = y.' The closest matching option provided is d. 53 + x - 10 = y.
Explanation:The sentence "the sum of fifty-three and x, minus ten, is y" translates to an algebraic equation that adds 53 to x and then subtracts 10 to equal y. This can be expressed mathematically as 53 + x - 10 = y. When simplified, this equation becomes x + 43 = y, which is not one of the provided options. Therefore, the correct option that most closely matches the sentence, after considering simplification, is d. 53 + x - 10 = y.
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An object is dropped from a height of 1700 ft above the ground. The function h=-16t^2+1700 gives the object’s height h in feet during free fall at t seconds.
a. When will the object be at 1000ft above the ground?
b. When will the object be 940ft above the ground?
c. What are a reasonable domain and range for the function h?
Answers
To calculate when the object would be at a particular height, we use the given equation, input the known height, and solve for the time (t), using the quadratic formula. The time when the object is at 1000ft is approximately 6.6 seconds and at 940ft it's approximately 6.9 seconds. The domain of the function is 0 <= t <= 10.3 and the range is 0 <= h <= 1700.
Explanation:This question involves the application of the quadratic equation, in the context of Physics. You would use the given function h=-16t^2+1700 to solve for t when h is set to the desired height.
For height 1000 ft, you would solve the equation -16t^2 + 1700 = 1000. After simplifying, you get -16t^2 = -700, then t^2 = 43.75, which leads to t = square root of 43.75. Thus t = approximately 6.6 seconds.For height 940 ft, you use the same methodology yielding t = approximately 6.9 seconds.The domain for this function would be all real values of t such that 0 <= t <= 10.3, because the object starts falling at t=0 and hits the ground (height = 0) at about 10.3 seconds. The range would be all real values of h such that 0 <= h <= 1700, because the object's height is initially 1700 ft and reduces to 0 as it hits the ground.Learn more about Quadratic Functions here:
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The object will be at 1000ft and 940ft above the ground approximately 6.65 seconds and 6.87 seconds after being dropped, respectively.
The domain of the function representing this situation is t ≥ 0, and the range is 0 ≤ h ≤ 1700.
Explanation:To find out when the object will be at certain heights, we can set h equal to those heights and solve for t.
a. When will the object be at 1000ft above the ground?
1000 = -16t^2 + 1700
16t^2 = 1700 - 1000
16t^2 = 700
t^2 = 700/16
t = √(700/16)
t ≈ 6.65 seconds
b. When will the object be 940ft above the ground?
940 = -16t^2 + 1700
16t^2 = 1700 - 940
16t^2 = 760
t^2 = 760/16
t = √(760/16)
t ≈ 6.87 seconds
c. What are a reasonable domain and range for the function h?
The domain of the function, which stands for time, would be t ≥ 0 as we do not consider negative time.
The range of the function, corresponding to the height, would be 0 ≤ h ≤ 1700 as we know the object's maximum height is 1700 ft and it can't go below ground level (0 ft).
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What is the third term of a sequence that has a first term of 3 and a common ratio of 3?
1/3
9
27
Answers
Answer:
The answer is 27
Step-by-step explanation:
The third term of the given geometric sequence is 27, calculated by using the geometric sequence formula with the first term of 3 and a common ratio of 3.
Explanation:The third term of a sequence that has a first term of 3 and a common ratio of 3 is calculated using the formula for geometric sequences, which is a_n = a_1 \(\cdot\) r^{(n-1)}, where a_n is the nth term, a_1 is the first term, and r is the common ratio. To find the third term (when n=3), we substitute the given values into the formula to get: 3 \(\cdot\) 3^{(3-1)}.
Calculating that gives us 3 \(\cdot\) 3², which equals 3 \(\cdot\) 9, so the third term is 27.
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