Answer:
The answer for radius is 5cm
Step-by-step explanation:
Volume of Cylinder =pir²h
225pi=pir²×9
225=9r²
divide both sides by 9
9r²/9=225/9
r²=25
√r²=√25
r=5cm
The ratio of the number of girls to the number of boys in a classroom 6:5. After 16 girls left the room, the ratio became 2:3. How many girls were there at first?
Answer:
5/6 se eu não me engano.
Step-by-step explanation:
ajudareroesp
For the graph to the right, describe the composition of transformations that maps KXH to NGP? Thanks.
As we can see in the graph, the triangle KXH has been reflected both on the y-axis and x-axis and then reduce by a scale factor between 0 and 1.
Reflection on both the y-axis and x-axis can be renamed to a single transformation which is a rotation of 180° about the origin. The transformation rule of a rotation about the origin is (x, y) → (-x, -y).
From the original coordinates of the triangle KXH, after rotation of 180° about the origin, the new coordinates are:
Now, if we compare the coordinates of triangle NGP and the new coordinates after the rotation:
We can see that the new coordinates after rotation was multiplied by 1/2 to form the coordinates of the Triangle NGP.
Hence, after a 180° rotation, the triangle KXH is dilated by a scale factor of 1/2. In symbol, this can be written as:
\(D_{0.5}\circ r_{(180\degree,O)}(KXH)\)Note that instead of using 1/2, we use decimal because the instruction is to use integer or decimal.
The answer is Option D and fill in the box with D sub 0.5 as shown above.
In the grating equation nλ=d sin θ, the quantity θ will be determined in the labusing the angular scale on the experimental apparatus.using meter sticks and geometry/trigonometry.using a protractor.
In the grating equation nλ=d sin θ, the quantity θ will be determined in the lab by using meter sticks and geometry/trigonometry
The term equation is known as a mathematical statement that is made up of two expressions connected by an equal sign
Here we have given that the grating equation nλ=d sin θ, the quantity θ will be determined in the lab.
The term grating equation in math states that d = 1/N where N is the grating constant, and it is the number of lines per unit length and n is the order of grating, which is a positive integer, representing the repetition of the spectrum.
And the term trigonometry is defined as a branch of mathematics concerned with relationships between angles and ratios of lengths.
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is it
A) X || Z
B) A T Z
C) A || B
D) X T A
Answer:
Well I would say the answer is A
Step-by-step explanation:
Because there is no metion of line A
Hope this helps have an awsome day!
At the end of July, the Salisbury family headed home after a vacation. The Salisbury's were 750 km from home when they started out, but 4 h later they were only 394 km from home. They did not stop and they maintained a constant speed.
a. How fast were they driving?
Please show your work but not in the physics formula do it a diffirent way and please explain
To find the speed at which the Salisbury family was driving, we can use the formula: Speed = Distance / Time. So, the Salisbury family was driving at a speed of 89 kilometers per hour.
The distance they traveled is the difference between their initial distance from home (750 km) and their distance from home after 4 hours (394 km):
Distance = 750 km - 394 km = 356 km
The time they took to cover this distance is 4 hours.
Now we can calculate the speed:
Speed = 356 km / 4 h = 89 km/h
Therefore, the Salisbury family was driving at a speed of 89 kilometers per hour.
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54 students failed a math test. This is the 27 percentage of the total number of students. How many students passed the test?
Step-by-step explanation:
27/100*X=5427X=5400X=200i offer you a gamble in which you win $1200 if a card randomly drawn from a standard 52-card deck is red and you lose $1200 if the card is black. what is the expected value of the gamble?
The expected value of a gamble can be calculated by multiplying the probability of winning by the amount you could win and subtracting the probability of losing multiplied by the amount you could lose.
In this case, we are given that if a red card is drawn from a standard 52-card deck, you win $1200, and if a black card is drawn, you lose $1200.
First, let's determine the probability of drawing a red card from a standard 52-card deck. In a standard deck, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 spades and 13 clubs). So the probability of drawing a red card is 26/52, which simplifies to 1/2 or 0.5.
Next, let's calculate the probability of losing, which is the probability of drawing a black card. Similarly, the probability of drawing a black card is also 26/52 or 1/2.
Now, we can calculate the expected value using the formula:
Expected value = (probability of winning * amount won) - (probability of losing * amount lost)
Expected value = (0.5 * $1200) - (0.5 * $1200)
Expected value = $600 - $600
Expected value = $0
Therefore, the expected value of the gamble is $0. This means that, on average, you neither win nor lose money in the long run by playing this gamble.
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Is 63 ÷ –7 positive or negative?
Answer:
Negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative is a negative.
Someone please help :0
Answer:
m < -18/19
Step-by-step explanation:
8m + 95 < -87 m +5
Add 87m to each side
8m+87m + 95 < -87 m+87m +5
95m + 95 < 5
Subtract 95 from each side
95m + 95-95 < 5-95
95m < -90
Divide each side by 95
95m/95 < -90/95
m < -18/19
Answer:
Step-by-step explanation:
8m +95 < -87m +5
8m +87m < 5-95
95m < -90
m < -90/95
m < -18/ 19
Find the 7th term in the following sequence (n = 7)
f(n) = 5 + 8(n-1)
Also, for this question, state what a1 is (first term) and what you are doing to find each successive (next) term.
Answer:
I'm stuck on this one to
Step-by-step explanation:
Finx, Inc., purchased a truck for $40,000. The truck is expected to be driven 15,000 miles per year over a five-year period and then sold for approximately $5,000.
Determine depreciation for the first year of the truck's useful life by the straight-line and units-of-output methods if the truck is actually driven 16,000 miles. (Round depreciation per mile for the units-of-output method to the nearest whole cent).
The depreciation for the first year of the truck's useful life is $7,467 by the straight-line method and $2,720 by the units-of-output method.
Straight-line method:Depreciation per year = (Cost - Salvage value) / Useful life
Depreciation per year = (40,000 - 5,000) / 5 = $7,000
Depreciation for the first year = (16,000 / 15,000) x $7,000 = $7,467
Units-of-output method:Depreciation per mile = (Cost - Salvage value) / Total miles expected to be driven
Depreciation per mile = (40,000 - 5,000) / (5 x 15,000) = $0.17/mile
Depreciation for the first year = 16,000 x $0.17 = $2,720
Therefore, the depreciation for the first year of the truck's useful life is $7,467 by the straight-line method and $2,720 by the units-of-output method.
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Which are the better statistics to use to compare the school class sizes?
Answer:
C
Step-by-step explanation:
A social media survey found that 75% of parents are "friends" with their children on a certain online networking site. A random sample of 160 parents was selected.
a. Calculate the standard error of the proportion.
b. What is the probability that 125 or more parents from this sample are "friends" with their children on this online networking site?
c. What is the probability that between 120 and 128 patents
The formula for standard error of proportion is √(pq/n) where p is the sample proportion, q = 1-p, and n is the sample size. Here, the sample proportion is 0.75, q is 0.25, and n is 160. Therefore, the standard error of proportion is √(0.75*0.25/160) = 0.035
The probability that between 120 and 128 patents (inclusive) are friends with their children can be calculated using the z-score formula:
z = (x - np)/√(npq)
where x is the number of parents between 120 and 128 who are friends with their children,
np = 160*0.75 = 120, and pq = 160*0.25 = 40.
Therefore,√(npq) = √(120*40) = 24.49
z = (120 - 120)/24.49 = 0
z = (121 - 120)/24.49 = 0.04
z = (122 - 120)/24.49 = 0.08
z = (123 - 120)/24.49 = 0.12
z = (124 - 120)/24.49 = 0.16
z = (125 - 120)/24.49 = 0.2
z = (126 - 120)/24.49 = 0.24
z = (127 - 120)/24.49 = 0.29
z = (128 - 120)/24.49 = 0.33
Using a z-table or a calculator, the probability that z is between 0 and 0.33 is 0.1292. Therefore, the probability that between 120 and 128 parents are friends with their children is 0.1292.
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Rational or Irrational
TI
Step-by-step explanation:
Pi is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction. That's because pi is what mathematicians call an "infinite decimal" — after the decimal point, the digits go on forever and ever.
hope this help! ^^
ASAP!!!!!!
WITH EXPLANATION
simple interest on a certain amount of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5% per annum by ₹285,find the sum
are u from india ??????????
Help me out , what’s this?
Answer:
9?
isnt are the inside.. or outside?
Step-by-step explanation:
Answer:
9 mm^2
Step-by-step explanation:
say each square is 1 mm in size. totally 9 squares.
so 9 mm^2
Create a data set that contains 10 values such that the mean is greater than the median.
Answer:
Go with anything, and I mean ANYTHING that is in a numerical order with an outlier
LITERALLY 1,2,3,4,5,6,7,8,9,100
you will get a median of 5.5 but with the high outlier, you will get a mean of 14.5
Curtis decided to go on a trip to Canada . On the first day on his trip , he drove 12 hours and traveled 732 miles . At what rate did he travel , in miles per hour
Answer:
61 mph
Step-by-step explanation:
He drove 732 miles in 12 hours. How many miles would he drive if it was 1 hour? (per hour) If we subtract 732 by 12, the answer would be miles per hour. 732/12=61 Therefor, his speed is 61 miles per hour.
What is the slope of the line that passes through the points (2, -4) and
(5,2)? Write your answer in simplest form.
Answer:
2
Step-by-step explanation:
Your slope is your change in y over your change in x. The ordered pair is in the form of (x,y), so you subtract the y's and put that in your numerator (top)and subtract your x's and put that in your denominators (bottom).
2 - (-4) would be your top number. To subtract a negative number is the same as adding a positive, so 2 - (-4) is the same as 2 +4, so your top number is 6.
Now, to find the bottom number, you subtract the x's.
5-2 which is 3.
We now have the top and the bottom number
6/3 which is the same as 2.
statistic & probability
The appropriate test statistic for each problem is given as follows:
1. z-distribution: \(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
2. t-distribution: \(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
3. t-distribution: \(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
4. t-distribution: \(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
5. z-distribution: \(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
When to use the t-distribution or the z-distribution?The choice of which distribution to use depends if we have the sample or the population standard deviation, as follows:
The t-distribution is used when we have the sample standard deviation s.The z-distribution is used when we have the population standard deviation \(\sigma\).More can be learned about the z-distribution at https://brainly.com/question/25890103
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HELP WITH THIIS PLLS
Answer: not compleatly sure but its possibly C
Solve for b. -1b - 8 > -7
Step-by-step explanation:
Hey there!
Given;
-1b - 8 > -7
Take '-8' to right side.
-1b > -7+8
-1b > 1
b > -1
Hope it helps...
help me with this question please
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1
In evaluating the results for your area, which of the following trends emerges from the data?
a. Increased Overtime Hours lead to increased Productivity Rates
b. Productivity Rate is negatively impacted by team size
c. Schedule Adherence is inconsistent across periods of time
d. Larger teams have more Schedule Adherence issues
To evaluate the results for your area and identify the emerging trends from the data, we need to examine the relationships between different variables. Based on the options provided:
a. Increased Overtime Hours lead to increased Productivity Rates: This trend suggests that as the number of overtime hours increases, productivity rates also increase. However, without specific data and analysis, it is difficult to confirm this trend.
b. Productivity Rate is negatively impacted by team size: This trend indicates that larger team sizes result in lower productivity rates. This suggests that as the team size increases, individual performance and coordination may be compromised, leading to decreased productivity.
c. Schedule Adherence is inconsistent across periods of time: This trend suggests that adherence to schedules fluctuates over time. It indicates that there is variability in meeting scheduled timelines or deadlines, potentially due to factors such as workload, resource availability, or changing priorities.
d. Larger teams have more Schedule Adherence issues: This trend implies that larger teams face challenges in adhering to schedules. It suggests that coordination and communication within larger teams may be more complex, leading to difficulties in meeting scheduled timelines or maintaining adherence.
It is important to note that without specific data and statistical analysis, it is challenging to determine the accurate trend from the given options. Proper data analysis and interpretation would be required to draw definitive conclusions about the relationships between variables in your specific area.
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What is equivalent to 9/7 ?
Answer:
1.28571428571
Step-by-step explanation:
9/7+1.2 in all
Answer:
18/14
Step-by-step explanation:
9/7 x 2/2 = 18/14
In a survey of 200 people, it was found that the number of people who liked tea and milk were in the ratio 4:5, 10 people liked both drinks and 15% people didn't like both the drinks. By drawing a Venn-diagram, find the number of people who liked only one drink.
The number of people who liked only one drink is 160 people using a Venn diagram.
Define the Venn diagram.A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.
Let's use a Venn diagram to represent the information given in the problem.
Let's use the following variables to represent the number of people in each region of the Venn diagram:
x: number of people who like only tea
y: number of people who like only milk
z: number of people who like both tea and milk
w: number of people who like neither tea nor milk
From the given information, we know:
x:y = 4:5, so x = 4y/5
z = 10
w = 15% of 200 = 0.15 x 200 = 30
We want to find the number of people who liked only one drink, so we need to find x + y. To do this, we can use the fact that the total number of people is 200:
x + y + z + w = 200
Substituting in the values we know:
4y/5 + y + 10 + 30 = 200
Solving for y:
9y/5 = 160
y = 160 x 5/9 = 88.89 (rounded to two decimal places)
Therefore, x = 4y/5 = 71.11 (rounded to two decimal places)
And the number of people who liked only one drink is:
x + y = 71.11 + 88.89 = 160
So 160 people liked only one drink.
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A 16.0 kg fish swimming at 1.40 m/s suddenly gobbles up a 4.50 kg fish that is initially stationary. Neglect any drag effects of the water.
Find the speed of the large fish just after it eats the small one.
How much mechanical energy was dissipated during this meal?
The speed of the large fish just after it eats the small one is approximately 1.09 m/s.
Total initial kinetic energy = 19.6 J
Mechanical energy dissipated ≈ 7.4 J
To find the speed of the large fish just after it eats the small one, we'll use the conservation of momentum principle. The total momentum before the event equals the total momentum after the event.
Initial momentum:
16.0 kg fish * 1.40 m/s = 22.4 kg·m/s
The 4.50 kg fish is initially stationary, so its momentum is 0 kg·m/s.
Total initial momentum = 22.4 kg·m/s
After the meal, both fish move together with a combined mass of 16.0 kg + 4.50 kg = 20.5 kg. Let the final speed be Vf.
Total final momentum = 20.5 kg * Vf
According to conservation of momentum, initial momentum = final momentum:
22.4 kg·m/s = 20.5 kg * Vf
Solving for Vf:
Vf = 22.4 kg·m/s / 20.5 kg
Vf ≈ 1.09 m/s
To find the mechanical energy dissipated during this meal, we'll calculate the initial and final kinetic energies and then find the difference.
Initial kinetic energy:
16.0 kg fish: 0.5 * 16.0 kg * (1.40 m/s)^2 = 19.6 J
4.50 kg fish: 0.5 * 4.50 kg * (0 m/s)^2 = 0 J
Final kinetic energy:
20.5 kg combined fish: 0.5 * 20.5 kg * (1.09 m/s)^2 ≈ 12.2 J
Mechanical energy dissipated = Initial kinetic energy - Final kinetic energy
Mechanical energy dissipated ≈ 19.6 J - 12.2 J
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12. (03.02 LC)Koby paid a total of $3,310.00, including principal and interest, over a 15-month period to pay off his credit card. Choose the equation that could be used to solve how much, on average, Koby paid inaddition to the $154.00 average minimum monthly payment. (1 point)(154 + x)15 = 3,310O 154x + 15 - 3,31015x + 154 = 3,310O 172(15 + x) = 3,310
SOLUTION
From the question,
Let the principal that Koby paid every month for the 15 months be x
Then what she paid every month is
\(\begin{gathered} x+\text{ interest } \\ So\text{ we are told interest is 154.00} \\ So,\text{ we have } \\ x+154.00 \end{gathered}\)So for 15 months, to get what she pays, we multiply the above by 15. We have
\(\begin{gathered} 15\times(x+154.00) \\ =15(x+154.00) \\ Or\text{ } \\ (154+x)15 \end{gathered}\)So, this should be equal to $3,310.00.
Hence the equation becomes
\((154+x)15=3,310\)The first option is the correct answer
Factor 16x2 - 48x + 36 completely.
OA) (8x - 12)2
OB6)2
B) (4x - 6)2
C) 2(2x - 3)2
D) 4(2x - 3)2
-
pls help
We then applied the formula for factoring perfect square trinomials to obtain the fully factored form, which is 4(2x - 3)2.
To factor 16x2 - 48x + 36 completely, we can first factor out the greatest common factor of 4:
16x2 - 48x + 36 = 4(4x2 - 12x + 9)
Now,
we can see that the expression inside the parentheses is a perfect square trinomial, which can be factored as:
4x2 - 12x + 9 = (2x - 3)2
Therefore, putting the pieces together, we have:
16x2 - 48x + 36 = 4(4x2 - 12x + 9) = 4(2x - 3)2
Hence, the fully factored form of the given expression is 4(2x - 3)2, which is option D).
The reason why we can recognize 4x2 - 12x + 9 as a perfect square trinomial is because it has the form a2 - 2ab + b2, where a = 2x and b = 3. This form can always be factored as (a - b)2, which in this case gives (2x - 3)2. The factor of 4 in the final answer comes from the fact that we initially factored out a 4 from the given expression.
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can someone help me with this please
The error is when she added 4 to both sides.
Instead, she should divide both sides by -4 to undo the multiplication. Specifically, the multiplication between the -4 term and the (x-2)^2 term.
This is one possible correction of what her steps could look like.
\(y = -4(x-2)^2\\\\\\0 = -4(x-2)^2\\\\\\\frac{0}{-4} = \frac{-4(x-2)^2}{-4}\\\\\\0 = (x-2)^2\\\\\\(x-2)^2 = 0\\\\\\\sqrt{(x-2)^2} = \sqrt{0}\\\\\\x-2 = 0\\\\\\x-2+2 = 0+2\\\\\\x = 2\\\\\\\)
In the third step, I'm dividing both sides by -4. In the sixth step, I'm applying the square root to both sides to undo the squaring operation. Then two steps later, I'm adding 2 to both sides to undo the "-2", which helps fully isolate x.
The only solution is x = 2, so it's the only x intercept. You can verify this answer by plugging x = 2 back into the original equation at the very top. You should end up with y = 0.
Note: The term "root" is another name for "x intercept".