2. Given that 5-6 ÷ 5p = 125º, find the value of 1/2p
Answer: -50
Step-by-step explanation:
5 - 6 / 5p = 125 degrees
1/2p = ?
First, subtract 5 from both sides, that way, the 5 on the left side will cancel out.
-6/5p = 125-5 degrees
-6/5p = 120 degrees
now, multiply 5p on both sides.
-6 = 120 * 5p degrees
-6 = 600p degrees
divide 600 on both sides
-6/600 = p degrees
-0.01 = p degrees
p = -0.01
1/2p = 1 / -0.02 = -50
Hope I helped!
Use Laplace transforms to solve the initial value problem. 2,, y″ + y = f(t), y(0) = 0, y′(0) = −1, where f(t) =
{2, , 0 < T ≤ 2
{0, , t > 2
The initial value problem, 2y″ + y = f(t), y(0) = 0, y′(0) = −1, where f(t) is defined as {2, 0 < t ≤ 2, 0, t > 2}, can be solved using Laplace transforms.
To solve the initial value problem using Laplace transforms, we first take the Laplace transform of the given differential equation. Applying the Laplace transform to the equation, we get 2s²Y(s) + Y(s) = F(s), where Y(s) and F(s) are the Laplace transforms of y(t) and f(t) respectively.
Next, we substitute the initial conditions y(0) = 0 and y′(0) = −1 into the transformed equation. Using the Laplace transform property for initial value conditions, we have Y(s) = Y(s) - 1/s.
Simplifying the equation, we can express Y(s) in terms of F(s) as Y(s) = F(s) / (2s² + 1) + 1/s.
Finally, we need to take the inverse Laplace transform of Y(s) to obtain the solution y(t). The inverse Laplace transform of F(s) / (2s² + 1) can be determined using partial fraction decomposition, and the inverse Laplace transform of 1/s is simply a ramp function.
Thus, by taking the inverse Laplace transform of Y(s), we can obtain the solution y(t) for the given initial value problem.
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a blueprint of a house has a scale in which one inch represents four and a half feet if a living room wall measures seven and one eighth inches on the drawing what is the actual length of the wall
Scales on a wall, change of units conversion
1 inch = 4 1/2 feets
7 1/8 inches = ?
First convert to fractions
(4 + 1/2) • ( 7 + 1/8) =
apply distributive law ( a+b)•(c+d)= ac + ad + bc + bd
then length of wall= 4•7 + 4/8 + 7/2 + 1/16
= 28 + 8/16 + 56/16 + 1/16
= 28 + 64/16 + 1/16
= 28 + 4 + 1/16
= 32 + 1/16
lenght is 32 and 1/16 feet
Jared places five cards that are labeled 1 to 5 face down on the table and mixes them up.
What is the likelihood that his friend Logan will draw an even-numbered card?
Answer: 2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:{1,2,3,4,5}
even numbers among these numbers are {2,4}
likelihood of even numbers =number of even numbers/all numbers
2/5
6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y complete the missing value in the solution to the equation.
The missing value is 6.
As per the question, y = -4. Keeping the value of y in the equations to find the value of x.
6x + 7(-4) = 4x + 4(-4)
Performing multiplication on each side of the equation
6x - 28 = 4x - 16
Rewriting the equation with identical values on each side of the equation
6x - 4x = 28 - 16
Performing subtraction on each side of the equation to find the value of x
2x = 12
Shifting 2 to Right Hand Side of the equation
x = 12 ÷ 2
Performing division on Right Hand Side of the equation
x = 6
Hence, the value of x is 6.
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The complete question is -
6x+7y=4x+4y
Complete the missing value in the solution to the equation.
(__,-4)
11. At a basketball game, a team made 56 successful shots. They were a combination of 1- and 2-point shots. The team scored 94 points in all. Use elimination to solve the system of equations to find the number of each type of shot. x + y = 56 x + 2y = 94
Answer:
y = 38
x = 18
Step-by-step explanation:
Equation 1. x + y = 56
Equation 2. x + 2y = 94
We can use substitution
Let's create equation 3: 56 - y = x
Now using equation 3, substitute equation 2.
Equation 2 is now written as:
56 - y + 2y = 94
56 + y = 94
y = 38
Given the value of y, substitute equation 1 and find x
x + 38 = 56
x = 18
Hope this helps :)
Have a great day!
Miguel is asked to solve the problem below and wants to convert the values to the same form. Which form would you encourage Miguel to choose?
Group of answer choices
Since 5/6 is a terminating decimal, Miguel should convert 5/6 to a decimal and multiply the decimals.
Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
Since 5/6 is a repeating decimal, Miguel should convert the fraction 5/6 to a decimal and multiply decimals.
Please Help Me!
The correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now the given mixed fraction is,
-0.6(5/6)
Now since 5/6 is a repeating decimal,
Therefore converting 0.6 into fraction, we get
0.6 = 6/10
Therefore, -0.6(5/6) = -(6/10)*(5/6)
Rearranging we get,
-0.6(5/6) = -(6/6)*(5/10)
⇒ -0.6(5/6) = -1*(5/10)
or, -0.6(5/6) = -(5/10)
simplifying 5/10 we get,
-0.6(5/6) = -(1/2)
Thus, the correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
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i don’t understand this at all
Answer:
8/6 is the x
hope it helped you
(b) Work out the value of (2.4 x 10³) x (9.5 x 10³)
Give your answer in standard form.
Answer:
\(2.28*10^7\)
Step-by-step explanation:
\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)
Answer:
228,000
Step-by-step explanation:
(2.4x10^3) x (9.5x10^3)
(2.4x100) x (9.5x100)
240x950
228,000
How do you do these? I'm not sure on how to solve these and what to do to solve them.
Answer:
c) 59.6516 miles
d) 158.503 quarts, 64.3738 km
you need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive. if the characters and digits cannot be used more than once, how many choices do you have for your password?
You need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive, then the 473,616,000 choices are used.
It is clear from mathematical and statistical logic that the question was written incorrectly and that some of the digits were repeated. Thus, the appropriate query is:
"You need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?"
So,
We can write,
We all know that there are 26 letters available in the alphabet and there are just 5 numbers between 0 and 9.
We are now given the situation of how many passwords can we make out of the criteria of having 5 letters that cannot be repeated and 3 odd digits from 0-9.
We cannot repeat the numbers and letters, thus our password will look something like this, LLLLLNNNN, where L is a letter and N is a number. Let us note that we cannot use the characters and digits more than once.
This is how we will solve the probable number of passwords.
= 26 x 25 x 24 x 23 x 22 x 5 x 4 x 3
5 letters from 26 with no repetition => 26*25*24*23*22 different choices.
Odd digits are 1, 3, 5, 7 and 9 => 5 different digits to choose
3 digits from 5 with no repetition => 5*4*3 = 60
Then, the total number of choices is: 26*25*24*23*22*60 = 473,616,000
Therefore,
You need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive, then the used choices are = 473,616,000
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Please Help ASAP I will give you 30 points
Answer:
The downloaded image is of the table. For part 2, \(x=5\)
Step-by-step explanation:
Just substitute each of the values in the equation with x in the function. A calculator, such as a TI-84, will do it really easily. Then, find the value in which they are similar, in this case 5. You can then conclude that:
\(x=5\)
Also, you could evaluate
\(2.5x-10.5=64(0.5^{x} )\)
algebraically, which would give you the same result.
Solve for x.
Enter the solutions from least to greatest.
(2x + 4) (3x − 2) = 0
Answer:
-2 and .66666
Step-by-step explanation:
2(3x^2+4x-4)=0
2(3x^2+6x-2x-4)=0
2(x+2)(3x-2)=0
x=-2, .6666
If the mean is greater than the median, the data is likely: Group of answer choices Symmetric Normally distributed Left-skewed Right-skewed
If the mean is greater than the median, the data is likely Right-skewed.
In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers. Right-skewed distributions have long right tails and are characterized by having a mean that is greater than the median. There are two different sorts of means that may be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.
Therefore, the answer is right-skewed. A data set that is skewed to the right is one where the tail to the right of the data clusters is longer than the tail to the left of the data clusters. This means that the data set will have a mean value that is greater than the median.
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Solve and graph the solution.
|4x-13| = 5x+4
Answer: x = -17
Step-by-step explanation:
4x-13=5x+4
(4x-13)+(13-5x)=(5x+4)+(13-5x)
4x-13+13-5x=5x+4+13-5x
4x-5x-13+13=5x-5x+4+13
-x=17
x=-17
Answer:
x = -1
Step-by-step explanation:
/4x-13/ = 5x + 4
4x +5x = -13 +4
9 x = -9
9x = -9
x = -1
Please help :( can you explain and write the answer
Answer:
f(x)=x-2
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),x|x ∈R}(-∞,∞),{x|x ∈R}
Range: (−∞,∞),{y|y∈R}
g(x)=x^2-3x+2
Domain: (−∞,∞),{x|x ∈R}(-∞,∞),{x|x ∈R}
Range: [−1/4,∞),{y∣y≥−1/4}
Assume the hold time of callers to a cable company is normally distributed with a mean of 4.9 minutes and a standard deviation of .9 minute. determine the percent of callers who are on hold for at least 5.4 minutes
Approximately 28.81% of callers are on hold for at least 5.4 minutes.
The percentage of callers who are on hold for at least 5.4 minutes can be determined by calculating the z-score and finding the area under the normal curve to the right of that z-score.
First, we need to calculate the z-score for a caller who is on hold for 5.4 minutes:
z = (5.4 - 4.9) / 0.9 = 0.56
Next, we can use a standard normal distribution table or calculator to find the area under the curve to the right of the z-score. The area to the right of 0.56 is 0.2881.
Therefore, approximately 28.81% of callers are on hold for at least 5.4 minutes.
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It is possible for more than 50% of the scores in a distribution to have values above the mean. Group of answer choices True False
Answer:
TrueStep-by-step explanation:
Yes, it is possible if the data is skewed negatively and the median is greater than the mean.
Which of the following is basically a promissory note, or a promise to repay a certain amount of money at some point in the future?
-Bond
-CD
-Mutual fund
-Stock
Answer:
Bond
Step-by-step explanation:
A promissory note or a promise to repay a certain amount of money at some point in the future is basically a bond.
A bond is a debt security that represents a loan made by an investor to a borrower, which is usually a corporation or government agency. It is a fixed-income investment, meaning that the borrower promises to pay a specific amount of interest over a set period of time and return the principal amount of the loan on the date of maturity. Bonds are issued for various purposes, such as raising capital, funding new projects, or refinancing debt.
CD (Certificate of Deposit) is a savings instrument issued by a bank or credit union that generally pays a fixed rate of interest over a set term. Mutual fund is an investment vehicle that pools money from multiple investors to purchase a portfolio of securities, such as stocks, bonds, or both. Stock is an ownership share in a company that represents a claim on part of the company's assets and earnings.
For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
What is the absolute value of -11
Answer:
11
Step-by-step explanation:
11
since it asks the absolute value of -11 it
will be 11 because in absolute value-for negatives it always positive.
Answer:
see attached
Step-by-step explanation:
12 / 50 Marks
Simplify this expression
2x x x
Use synthetic division to find the result when 2x^ 4 − 17x^3 + 26x^2 + 26 x − 2 2x 4 −17x 3 +26x ^2 +26x−2 is divided by x − 6 If there is a remainder, express the result in the form q ( x ) + r( x )/b( x )
The result after synthetic division is 2x³ - 5x² - 4x + 2 and the remainder is -26/(x - 6).
What is synthetic division?When the divisor is a linear factor, the synthetic division is used to perform the division operation on polynomials.
To perform synthetic division, we set up the following table:
6 | 2 -17 26 26 -2
| 12 -30 -24
|-----------------
2 -5 -4 2 -26
Therefore, when we divide 2x⁴− 17x³ + 26x²+ 26x − 2 by x − 6 using synthetic division, we get:
2x³ - 5x^2 - 4x + 2 - 26/(x - 6)
So the quotient is 2x³ - 5x² - 4x + 2 and the remainder is -26/(x - 6).
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reid took seven tests. on the first five tests that he took, he averaged $86$ points. on the last three tests, he averaged $95$ points. if he averaged $88$ points on all seven tests, how many points did he average on the last two tests?
The points that he average on the last two tests will be 93 points.
What is mean?A mean is the average of the set of numbers that are given.
On the first five tests that he took, he averaged 86 points. The total points will be:
= 86 × 5
= 430 points
He averaged 88 points on all seven tests. The total will be:
= (88 × 7)
= 616 points
The point average on the last two tests will be:
= (616 - 430)/2
= 186/2
= 93 points
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You have $20 to spend for cupcakes. If each cupcake costs $4, write and solve an inequality to show the maximum number of cupcakes you can buy.
Is (x - 2) a factor of f(x) = x3 - 2x2 + 2x + 3? Explain your reasoning.
No, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ f (x) = x³ - 2x² + 2x + 3
And, The factor is (x - 2)
Now, If (x - 2) is factor of function then x = 2 satisfy the function.
Hence, We can check as,
⇒ f (x) = x³ - 2x² + 2x + 3
Put x = 2
⇒ f (2) = 2³ - 2 (2)² + 2 × 2 + 3
⇒ f (2) = 8 - 8 + 4 + 3
⇒ f (2) = 7 ≠ 0
Hence, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.
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I need help fasttt.....
Answer:
the 3rd one I think hope this helps
Step-by-step explanation:
find the hypotenuse: c =
how many customers must be sampled if he wants the confidence interval to have a margin of error of 0.06? g
To determine the sample size needed for a desired margin of error, we need additional information such as the population size and the desired level of confidence. Without this information, it is not possible to calculate the exact sample size.
The sample size calculation involves considering factors such as the variability of the population, the desired level of confidence, and the margin of error. These factors help in determining the appropriate sample size to achieve the desired precision in estimating population parameters.
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how many customers must be sampled if he wants the confidence interval to have a margin of error of 0.06 ----------- g
How many 1/2 -yard lengths are in 1 yard?
If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1