How many degrees are in a twelfth of a full turn?
Answer:
30 degrees
Step-by-step explanation:
A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!
Hope this helps you out...have an amazing day c:
23.-28. In a manner similar to Example 1, (a) identify input and
output consistent with the general proportional model; (b) write
an equation for the model; (c) determine a numerical value for the
constant k; and (d) solve the problem.
23. The maximum distance that you can see from the top of a tall
building is (directly) proportional to the square root of the
height of the building. You can see approximately 41 mi from
the Canadian National Tower lookout level, which is 1,135 ft
tall. How far can you see from the top of the Sears Tower in
Chicago (now the Willis Tower), which is 1,454 ft tall?
23. How far can you see from the top of the sears tower in Chicago, which is 1,454 ft tall?
The distance I can see from the top of the sears tower in Chicago is 46.41 mi.
How far can you see the from the top of the Sears Tower?The equation for direct proportionality = y = b√x
where:
y = dependent variable = distance you can seeb = constantx = independent variable = square root of the height of the building.b = y /√x
41 / √1135
b = 1.217
y = 1.217√1454
y = 46.41 mi
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"The original price of a bicycle was $375. now it is on sale for $295. what percentage of the original price was the markdown?"
Answer:
78.67%
Step-by-step explanation:
295 percent of 375 is 78.67%
295/375 x 100 = 78.67%
Math static method random generates a random double value in the range from 0.0
a. a. up to but not including 1.0
b. b. up to and including 1.0
c. c. up to and including 100.0
d. d. up to but not including 100.0
The random value can take on any value from 0.0 (inclusive) to 0.9999999999999999 (exclusive).
The Math class's static method randomly generates a random double value in the range from 0.0 (inclusive) up to but not including 1.0 (exclusive). This means that the correct option is b. up to and including 1.0.
When you call Math. random(), it returns a random double value greater than or equal to 0.0 and less than 1.0. The generated value can range from 0.0 (inclusive) to 0.9999999999999999 (exclusive), which is effective up to but not including 1.0.
For example, if you were to write the following code snippet:
double random value = Math.random();
The random value can take on any value from 0.0 (inclusive) to 0.9999999999999999 (exclusive).
Therefore, it's important to note that Math. random() generates pseudo-random numbers based on an algorithm and seed value. If you need random numbers within a specific range, you can use the Math. random() method in conjunction with other arithmetic operations to scale and shift the range as required.
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Carlos kept track of how much cereal he ate for two months and found that he ate 208 ounces of cereal in that time. How many pounds is that?
(16 ounces = 1 pound)
A. 6.5 pounds
B. 13 pounds
C. 26 pounds
D. 3,328 pounds
Answer:
13 pounds
Step-by-step explanation:
if its wrong then-
f(x) = (5x-3) forx > 2
Let f be the function defined above. Which of the following statements is true?
a. f is neither continuous nor differentiable at x=2.
b. f is continuous but not differentiable at x=2.
c. f is differentiable but not continuous at x=2.
d. f is both continuous and differentiable at x=2.
The correct option is: b. f is continuous but not differentiable at x=2.
f(x) = (5x-3) for x > 2There is only one condition for the function to be continuous and differentiable at a point ‘c’ that is f(x) is continuous at x = c and limit of f(x) at x = c exists and equal to f’(c). Now, if we apply this condition in our given function we have;For x > 2; f(x) = (5x-3)Therefore, f(2) does not exist, therefore, f is not continuous at x=2. Hence, option A is incorrectNow we need to find the derivative of the function at x=2;f(x) = 5x - 3dy/dx = 5The derivative of the function exists and is equal to 5. Therefore the limit of the function at x=2 does not exist, hence the function is not differentiable at x=2.Therefore, the correct option is: b. f is continuous but not differentiable at x=2.
The main point is the limit of the function. For the function to be differentiable at a point, the limit of the function should exist and be equal to the derivative at that point.Let's check the continuity of the function at x=2.For x > 2; f(x) = (5x-3)For x=2, f(x) does not exist as x is defined only for x>2. Therefore, the function is not continuous at x=2.Now we will check the differentiability of the function at x=2.f(x) = 5x - 3dy/dx = 5For x=2, the limit of the function does not exist and it is not equal to the derivative at that point. Hence, the function is not differentiable at x=2.So, the correct option is b. f is continuous but not differentiable at x=2.
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Find what percent 10 is of 1000.
Answer:
1%
Step-by-step explanation:
10/1000=0.01
0.01×100=1
1%
Answer:
1%
Step-by-step explanation:
There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.
Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:
Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y
The student council sets up a booth to sell bracelets for $2.50 each and a booth to sell necklaces for $5 each. A $50 donation is made at the booth selling bracelets. The student council decides to close the booths when the amount of money collected is the same.
The students council sold 20 bracelets and 10 necklesses.
What is division?The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic,
here the number of the bracelets sold will be
\(N_{B}=\dfrac{50}{2.5}=20\)
Number of the necklesses sold will be
\(N_{N}=\dfrac{50}{5}=10\)
Hence the students council sold 20 bracelets and 10 necklesses.
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The mean time required to repair breakdowns of a certain copying machine is 93 minutes. The company which manufactures the machines claims that breakdowns of its newer model are easier to fix. To test this claim, a sample of 18 breakdowns of the new model were observed, resulting in a mean repair time of 86.8 minutes with a standard deviation of 14.6 minutes. Using a significance level of a = 0.10, determine if the new copy machines are faster to repair. State clearly what your null and alternative hypotheses are, show your work, and state your conclusion.
A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.
To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:
Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.
Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.
Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:
t = (sample mean - population mean) / (sample standard deviation / √(sample size))
Given:
Population mean (μ) = 93 minutes
Sample mean (\(\bar x\)) = 86.8 minutes
Sample standard deviation (s) = 14.6 minutes
Sample size (n) = 18
Significance level (α) = 0.10
Calculating the test statistic:
t = (86.8 - 93) / (14.6 / sqrt(18))
t = -6.2 / (14.6 / 4.24264)
t ≈ -2.677
The degrees of freedom for this test is n - 1 = 18 - 1 = 17.
Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.
Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.
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A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of _______.
A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
What is a rate?
A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.
It is also the measure of a part with respect to a whole or a proportion.
Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
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-5x + 2y = -29
5x - 2y = 24
Answer:
-10x + 4y = -53
Step-by-step explanation:
-5x+2y = -29
5x - 2y = 24
subtract both values from up to down
-5x - 5x = -10x
2y - (-2y) = 4y
-29 - 24 = -53
-10x + 4y = -53
a bag contains 6 white marbles and 4 black marbles. a marble is drawn from the bag and then a second marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a black marble on the second?
Answer:
4/15
Step-by-step explanation:
Probability = 6/10 x 4/9 = 4/15
Topic: Probability
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The probability of drawing a white marble on the first draw, followed by a black marble on the second is 4/15.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of drawing a white marble on the first draw, followed by a black marble on the second = (number of white marbles / total number of marbles) x (number of black marbles / total number of marbles - 1)
6/10 x 4/9 = 24/90 = 4/15
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could anyone help me???? I WILL GIVE THE BRAINLIEST!!!!!!! PLEASE PLEASE PLEASE!!!! or could anyone tutor me on how to do it?????? 27 points!!!!!!!!
Answer:
see attached
Step-by-step explanation:
The attachment is my effort to complete the proof. It appears to me the idea is to show that B=3+1 and that 1=3+C. Then you substitute (3+C) for 1 and you've got the proof you want.
_____
The given statements and reasons are intended to give you enough clues that you can figure out the logic that is being used. Once you have done that, you fill in the missing details.
Hannah pays $85 per month for her cell phone plan that gives her unlimited talk and 500 outgoing text messages. After 500 text messages it costs $0.10 per outgoing text message. Write the equation that models how much she pays for her data.
Answer:
85x(500-0.10x)
Step-by-step explanation:
Is this congruent and how is this congruent
Please help me ASAP I need help
Answer:
(-9,1.5)
Step-by-step explanation:
(-6*1.5, 1*1.5)
Judy's heart beats 70 times a minute. At this rate, how many times does it beat per hour?
Answer:
4200 timesStep-by-step explanation:
\(70\:times = 1\:minute\\x\:times\:= 60\:minute\\\\Cross\:multiply\\ x = 70 \times 60\\\\x = 4200\\\\= 4200 \:times\:in\:an\:hour\\\\Note: 60\:minutes = 1 \:hour\)
Answer:
4200 beat per hour
Step-by-step explanation:
70 beat per min to beat per hour
70 beat 60 min
------- x ----------- = 4200 beat per hour
min 1 hour
Simplify the complex number. Express your answer in a + bi form and include each step necessary in simplifying.
\(\frac{3-2i}{1+4i}\)
Answer:
(-5/17) +(-14/17)i
Step-by-step explanation:
You want the simplified form of (3-2i)/(1+4i).
SimplificationA fraction with a complex denominator can be made to have a real denominator by multiplying both numerator and denominator by the conjugate of the denominator.
\(\dfrac{3-2i}{1+4i}=\dfrac{(3-2i)(1-4i)}{(1+4i)(1-4i)}=\dfrac{3\cdot1-3\cdot4i-2i\cdot1-2i\cdot(-4i)}{1^2-(4i)^2}\\\\\\=\dfrac{3-12i-2i+8i^2}{1-16i^2}=\dfrac{3-14i-8}{1+16}=\boxed{-\dfrac{5}{17}-\dfrac{14}{17}i}\)
Exercise 5.2 Suppose you pay 5 to buy a European (K=100, t=1/2 ) put option on a given security. Assuming a nominal annual interest rate of 6 percent, compounded monthly, find the present value of your return from this investment if (a) S(1/2)=102; (b) S(1/2)=98.
In conclusion, the present value of your return from this investment, when the stock price is 98, is approximately $1.965.
To find the present value of your return from the investment, we need to calculate the value of the European put option at time t=1/2 and then discount it back to the present value using the nominal annual interest rate of 6 percent compounded monthly.
(a) If S(1/2) = 102:
To calculate the value of the European put option at time t=1/2, we need to determine if it is in-the-money or out-of-the-money.
The strike price is K=100, and since the stock price is greater than the strike price (102 > 100), the put option is out-of-the-money. In this case, the put option has no intrinsic value.
The present value of your return from this investment would be $5, as the put option has no value. There is no profit or loss.
(b) If S(1/2) = 98:
Similar to the previous case, we need to determine if the put option is in-the-money or out-of-the-money. Since the stock price is less than the strike price (98 < 100), the put option is in-the-money.
The intrinsic value of the put option is given by the difference between the strike price and the stock price:
K - S(1/2) = 100 - 98 = 2.
To calculate the present value of your return from this investment, we need to discount the intrinsic value of the put option back to the present value. The nominal annual interest rate of 6 percent compounded monthly translates to a monthly interest rate of 6% / 12 = 0.5%.
Using the formula for the present value of a future cash flow:
Present Value = Intrinsic Value / (1 + Monthly Interest Rate)^(Number of Months)
Number of Months = 1/2 years * 12 months/year = 6 months.
Present Value = 2 / (1 + 0.005)^(6)
Present Value ≈ $1.965.
In conclusion, the present value of your return from this investment, when the stock price is 98, is approximately $1.965.
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28 + 8x = 8(x + 3) + 2
What is x?
Answer:
Step-by-step explanation:
28 + 8x = 8x + 24 + 2
28 + 8x = 8x + 26
28 ≠ 26
no solution
Answer:
The equation is invalid.
Step-by-step explanation:
Simplifying:
28 + 8x = 8(x + 3) + 2
Reorder the terms:
28 + 8x = 8(3 + x) + 2
28 + 8x = (3 * 8 + x * 8) + 2
28 + 8x = (24 + 8x) + 2
Reorder the terms:
28 + 8x = 24 + 2 + 8x
Combine like terms: 24 + 2 = 26
28 + 8x = 26 + 8x
Add '-8x' to each side of the equation.
28 + 8x + -8x = 26 + 8x + -8x
Combine like terms: 8x + -8x = 0
28 + 0 = 26 + 8x + -8x
28 = 26 + 8x + -8x
Combine like terms: 8x + -8x = 0
28 = 26 + 0
28 = 26
Solving:
28 = 26
The left and right sides are not equal! Meaning theres no solution.
v 2 ‒ 3 where v = 5 =?????????????????????
Answer:
7
Step-by-step explanation:
Since V is equal to 5, I'm guessing the equation is 2V - 3? You substitute V with 5, in the equation and solve! 5 ⋅ 2 - 3, so 5 times 2 is 10, and then you subtract 3 by 10. Then you get the answer 7!
Christopher is designing a rectangular fence to go around his school's chicken coop The length should be 2 ft longer than the width Christopher marks two vertices of the rectangle at Pando in the coordinate plane PO is one of the shorter sides. Each unit in the coordinate plane represents ift Daw rectangle PORS in the coordinate plane to model the fence b. How many feet of long does wed to go around the chicken coop! pls help
Answer:
Christopher needs 24 feet of fencing. Your rectangle should be 5x7 feet.
Step-by-step explanation:
Line PO is 5 feet wide, and we know that the side across from it is 5 feet wide. 5+5=10. The longer sides are supposed to be 2 feet longer than the shorter sides, so they have to be 7 feet long. 7+7=14. 10+14=24.
If f:R→R is continuous and f(x)=x for all x∈Q, thon F(x)=x for all x∈R
To prove that the function F(x) = x for all x∈R, given that f:R→R is continuous and f(x)=x for all x∈Q, we need to show that F(x) = x for all x∈R.
Here's how we can prove it:
1. We know that f(x) = x for all x∈Q. This means that the function f(x) is equal to x for all rational numbers.
2. Since f(x) is continuous, it means that it is continuous at every point in its domain, which is R.
3. Now, let's consider an irrational number, say y∈R, and let's show that F(y) = y.
4. Since y is irrational, it is not in Q. However, since f(x) = x for all x∈Q, it follows that f(y) = y.
5. Since f(x) is continuous, it means that the limit of f(x) as x approaches y exists and is equal to f(y).
6. But since f(x) = x for all x∈Q, it follows that the limit of f(x) as x approaches y is y.
7. Therefore, we can conclude that F(y) = y for all irrational numbers y∈R.
8. Combining the results from steps 2 and 7, we can say that F(x) = x for all x∈R, whether x is rational or irrational.
Thus, we have shown that F(x) = x for all x∈R, given that f:R→R is continuous and f(x)=x for all x∈Q.
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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.
What does z score mean?An indicator of how nearly a value relates to the mean of either a set of values is called a Z-score.Z-score is quantified using standard deviations relative to the mean.The data point's entire score is equal to the mean score when the Z-score is 0.The amount that the raw score departs first from mean is determined using the Z score.These steps are used to determine the Z score:
z = (x - μ)/σ
As mentioned in question-
x > 550 and μ = 500, σ = 40:
z = 550 - 500 / 40
z = 1.25
Obtain the p-value from normal distribution chart,
P(z > 1.25) = 1 - P(z < 1.25)
P(z > 1.25) = 1 - 0.8944
P(z > 1.25) = 0.1056
Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.
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the information contained in a probability distribution has to be summarized into a single measure to be used to make decisions. what is this measure called?
Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.
Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.
It is denoted by λ , which is the mean number of events.
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Find the projection matrix P describing the projection of R4 onto
V = span{| 1 1 0 -2 | , | 1 5 1 1|}
The projection matrix P describes the projection of R4 onto V = span{| 1 1 0 -2 | , | 1 5 1 1 |}.
To get the projection matrix P describing the projection of R4 onto V = span{| 1 1 0 -2 | , | 1 5 1 1 |}, follow these steps:
First, create a matrix A using the given spanning vectors as columns: A = [| 1 1 0 -2 | , | 1 5 1 1 |]
Compute the matrix product A * A^T: A * A^T = [| 1 1 0 -2 | , | 1 5 1 1 |] * [| 1 1 | , | 1 5 | , | 0 1 | , |-2 1 |]
Calculate the inverse of the resulting matrix (A * A^T)^(-1): (A * A^T)^(-1) = Inverse of the matrix obtained in step 2
Compute the matrix product A^T * (A * A^T)^(-1):
A^T * (A * A^T)^(-1) = [| 1 1 | , | 1 5 | , | 0 1 | , |-2 1 |] * Inverse of the matrix from step 3
Finally, calculate the projection matrix P: P = A * A^T * (A * A^T)^(-1) * A^T
The projection matrix P describes the projection of R4 onto V = span{| 1 1 0 -2 | , | 1 5 1 1 |}.
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Sara has $75 to spend on clothes. She wants to buy a pair of jeans that cost $27 and spend
the rest on t-shirts. Each t-shirt costs $8. How many t-shirts can Sara afford to buy?
Selina invests £2000 in a savings account for 3 years.
The account pays compound interest at a rate of 2.5% per annum.
Calculate the total amount of interest Selina will get by the end of the 3 years.
Selina will get £153.78 of interest by the end of 3 years.
Calculate the total amount of interest Selina will get by the end of the 3 years?To calculate the total amount of interest Selina will get by the end of 3 years, we need to use the compound interest formula:
A = P\((1 + r/n)^{(nt)}\)
where:
A = the amount of money at the end of the time period
P = the principal amount (the amount initially invested)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time period (in years)
In this case, we have:
P = £2000 (the amount initially invested)
r = 2.5% per annum = 0.025 (as a decimal)
n = 1 (the interest is compounded annually)
t = 3 (the time period is 3 years)
So, plugging in the values into the formula, we get:
A = 2000\((1 + 0.025/1)^{(1×3)}\)
= 2000\((1.025)^{3}\)
= 2000(1.07689)
= £2,153.78 (rounded to the nearest penny)
To find the total amount of interest Selina will get, we need to subtract the principal amount from the final amount:
Total interest = £2,153.78 - £2,000
= £153.78
Therefore, Selina will get £153.78 of interest by the end of 3 years.
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PLEASE HELP ILL MARK BRAINLEST
Answer:
A 5 •1/2
Step-by-step explanation:
Sorry i misunderstood it for a second
Answer:
2/5 I think
Step-by-step explanation:
Mr Lim drove his car at a speed of 90 km/h for the first 2 hours. Then, he drove his car for the rest of the journey at a speed of 75 km/h and took another 4 hours to reach his destination. Find the car's average speed for the entire journey.
63.75km/hr is the car average speed fpr the entire journey.
Determine the average speed of a bodyThe formula for calculating average speed is expressed according to the formula below
Average speed = change in distance/water
Substitute the given parameter
Average speed = 90/2 + 75/4
Average speed = 45 + 18.75
Average speed = 63.75km/hr
Hence the car's average speed for the entire journey is 63.75km/hr
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