The first 3 common denominators of 5/24 and 5/8 are the same as the first 3 lowest multiples of 24, which are; 24, 48, and 72
What is a lowest common multiple?The lowest common multiples of two numbers are the smallest multiples that are common to two numbers.
The first 3 common denominators of 5/24 and 5/8 can be found from the first three lowest common multiples of 24 and 8 as follows;
The first three lowest multiples of 24 are 24, 48, and 72
The first three lowest multiples of 8 are 8, 16, and 24
Therefore, the first three common denominators of 5/24 and 5/8 are 24, 48, and 72
Learn more on the lowest common multiples, LCM, here: https://brainly.com/question/10749076
#SPJ1
Which of the following is equivalent to the value of x?14258°O 14 cos(58)O 14 sin(58)14sin(58)14cos(58)
We have a right triangle
We can see that we need a trigonometric function that relates the leg adjacent to an angle and the hypotenuse.
So, we must use the cosine
\(\cos \alpha=\frac{adjacent}{\text{hypotenuse}}\)Now, we must calculate the cosine for the angle of 58°
\(\cos (58)=\frac{14}{x}\)Finally, we must solve the equation for x
\(\begin{gathered} \cos (58)=\frac{14}{x} \\ x\cos (58)=14 \\ x=\frac{14}{\cos (58)} \end{gathered}\)So, the answer is the last option.
how will the z-scores compare if you use your height in inches verses centimeters?
The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.
The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.
Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.
Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
To know more about z-scores, here
https://brainly.com/question/15016913
#SPJ4
How do you write 143% as a decimal
Answer:
1.43
Step-by-step explanation:
1.43 or 1 43/100 turned into a percent is 143%
Answer:
1.43 because 1 = 100 percent and the 43 is your 43 remaining
Someone help pls? (Math problem in the picture)
Answer:
X equals any number from 3 to -5
Step-by-step explanation:
if this helps, can i have brainliest?
Answer:
Step-by-step explanation:
See attached image.
A truck and a car go at the same time against each other from two cities, which are at a distance of 400 km from each other. If the vehicles are moving at a constant speed of 68 km / h and 82 km / h, respectively, find after how long they have met?
Answer: after about 96 Minutes
Step-by-step explanation:
What is the image of (-8,-5) after a dilation by a scale factor of 4 centered at the origin
work out the value of x
In trapezoid TRAP, the parallel bases are TP and RA
Is UV the midline of trapezoid TRAP? Why or why not?
Use the Trapezoid Midline Theorem that states the properties of
the midline of a trapezoid to justify your answer.
9514 1404 393
Answer:
UV is not the midline. (The midline length is 4.5.)
Step-by-step explanation:
The trapezoid midline is the average of the lengths of the bases. Here, the midline length would be ...
(7 ft +2 ft)/2 = (9 ft)/2 = 4.5 ft
The line length shown is 3.5 ft, so the segment shown is not the midline.
A cup of tea costs $3.25 at a local cafe. Alan and his wife, Patty, have a coupon for $1 off their order. Alan says the expression 3.25t - 1 represents the cost for t cups of tea. Patty says the expression 3t + (-1) represents the cost. Are their expressions equivalent? Explain.
Answer:
Step-by-step explanation:
The expressions are not equivalent. A cup of tea costs $3.25. $3.25t reprensents the total cost for the number of cups of tea (t) in one order. Subtracting the $1 coupon or adding the coupon as a negative results in the same discount. But Patty is using the wrong cost for a cup of tea, $3 instead of $3.25. Resulting in expressions that are NOT equivalent.
Which expression does not belong with the other three? Explain your reasoning.
2(x+2) 5(x-8) 4+(x•4) 8(9-x)
Which one does not belong:
Explain your reasoning:
Answer:
3. 4 + (x · 4)Step-by-step explanation:
Given expressions:
2(x + 2) 5(x - 8) 4 + (x • 4) 8(9 - x)Three of them in the form of:
a(b + c)One of them in the form of:
a + (bc)Number 3 doesn't belong
This is a graphing problem and I am trying to find the x-intercepts and the y-intercepts. Please show me the full steps. I really appreciate it thank you.
Answer:
y-intercept: y = 3/4no x-interceptsStep-by-step explanation:
To find the y-intercept, set x=0 and evaluate the function.
f(0) = -3/(0 -4) = 3/4
The y-intercept is (0, 3/4).
__
To find the x-intercept(s), set f(x) = 0 and solve for x.
0 = -3/(x^2 -4)
0 = -3 . . . . . . . . . . multiply by (x^2 -4), x ≠ ±2
There are no values of x that will make this true. There are no x-intercepts.
_____
Additional comments
In general, you find the x-intercepts of a rational function by finding the zeros of the numerator. Here, the numerator is -3, so cannot ever be zero.
I find a graphing calculator to be a useful tool for showing where to look for x-and y-intercepts. The attached graph shows y=0 (the x-axis) is a horizontal asymptote, so there are no x-intercepts.
Brady has $20,000 in student loans with 3.3% interest that he plans to pay off in 5 years. Find the total cost of repayment.
The total cost of repayment over 5 years is $23,300.
What is the total cost of repayment?A loan repayment refers to the act of paying back money previously borrowed from a lender.
To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.
The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)
Interest = Principal * Interest Rate * Time
Given:
Principal amount is $20,000
Interest rate is 3.3%
Duration is 5 years.
Interest = $20,000 * 0.033 * 5
Interest = $3,300
Total Cost of Repayment = Principal + Interest
= $20,000 + $3,300
= $23,300.
Read more about repayment
brainly.com/question/25696681
#SPJ1
A.2/3
B.-3/2
C.-2/3
D.3/2
Answer:
C. -2/3 is the answer hope this helps
Determine the maximum deflection of the simply supported beam. E= 200 GPa and.i = 39,9 (10^6) M^4
The maximum deflection of the simply supported beam, given the applied load P, the length of the beam L, the Young's Modulus E of the beam material, and the moment of inertia I, is equal to (5*P*L^3)/1536.3*10^15 m.
The maximum deflection of the simply supported beam is given by:
Maximum deflection = (5PL^3)/(384EI)
where P is the load applied to the beam, L is the length of the beam, E is the Young's Modulus of the beam material, and I is the moment of inertia of the beam.
Substituting the given values into the equation, we get:
Maximum deflection = (5*P*L^3)/(384*200*10^9*39.9*10^6)
= (5*P*L^3)/(1536.3*10^15)
= (5*P*L^3)/1536.3*10^15 m
The maximum deflection of the simply supported beam, given the applied load P, the length of the beam L, the Young's Modulus E of the beam material, and the moment of inertia I, is equal to (5*P*L^3)/1536.3*10^15 m.
Learn more about maximum here
https://brainly.com/question/29156925
#SPJ4
which two numbers are 3 units away from 0
Answer:
3 and -3
Step-by-step explanation:
You can go to the right and to the left of 0 to find 2 numbers away from 0. Going 3 units to the left of 0 gives you -3, and going 3 units to the right of 0 gets you positive 3.
The two numbers which 3 units away from 0 are 3 and -3 as it have 3 unit distance from 0.
Use the concept of addition defined as:
In mathematics, addition is an arithmetic operation that combines two or more numbers to produce a sum.
It is a fundamental operation used to calculate the total or the result of combining quantities.
When adding numbers, you start with the first number, and then incrementally add subsequent numbers to obtain a final sum.
The given numbers are:
3 units and 0 units.
If we add 3 in 0 then it represents 3 away far from 0
If we subtract 3 from 0 it represents 3 away far from 0
Hence,
The numbers are 3 and -3.
To learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ3
Consider the following function: f(x)=-3/4+9 place the steps for finding f -1(x) in the correct order. drag the tiles to the correct boxes. not all tiles will be used.
The correct inverse function for f(x) = -3/4 + 9 is f^(-1)(x) = x + 33/4.
To find the inverse function f^(-1)(x) of a given function f(x), we need to follow the steps below:
1. Start with the original function f(x) = -3/4 + 9.
2. Replace f(x) with y: y = -3/4 + 9.
3. Swap the roles of x and y: x = -3/4 + 9.
4. Solve the equation for y: Rearrange the equation to isolate y on one side: y = x - 9 + 3/4.
5. Simplify equation: Combine like terms: y = x + 33/4.
6. Replace y with f^(-1)(x): The inverse function is represented as f^(-1)(x) = x + 33/4.
Therefore, the correct inverse function of f(x) = -3/4 + 9 is f^(-1)(x) = x + 33/4.
learn more about inverse function here
https://brainly.com/question/29141206
#SPJ11
PLEASEEE ANSWER ILL GIVW POINTS ANS BRAINLIEST PLS THANK YOU NO ONE HAS ANSWERED ANSWER BOTH OR EITHER OF THE QUESTIONS PLSSS
1. Write a brief note to Susan describing her mistake and explain to her how to correctly determine the amount of sugar she will need.
2. How much sugar will she need to make 90 cookies?
doesn't the thing in the box tell you how much for 90 cookies ?
a pet store marks up all of their grooming products by 15% of the price, p. write an expression for the retail price
Answer: 0.85p
Step-by-step explanation:
Hal bought 5 pencils for $0.56 each.How much did he pay in total?
Answer:
2.80$
Step-by-step explanation:
56 times 5
The function xe^−x sin(9x) is annihilated by the operator The function x4e^−4x is annihilated by the operator
The operator that annihilates the function xe^(-x)sin(9x) is the second derivative operator, denoted as D^2. The function x^4e^(-4x) is also annihilated by the second derivative operator D^2.
This is because:
1. The second derivative of a function is obtained by differentiating twice. For example, if we have a function f(x), the second derivative is denoted as f''(x) or D^2f(x).
2. In this case, we have the function xe^(-x)sin(9x). To find the second derivative of this function, we need to differentiate it twice.
3. The first derivative of xe^(-x)sin(9x) can be found using the product rule, which states that the derivative of a product of two functions is equal to the derivative of the first function times the second function, plus the first function times the derivative of the second function.
4. Applying the product rule, we find that the first derivative of xe^(-x)sin(9x) is (e^(-x)sin(9x) - 9xe^(-x)cos(9x)).
5. To find the second derivative, we differentiate this result again. Applying the product rule and simplifying, we get (e^(-x)sin(9x) - 9xe^(-x)cos(9x))'' = (18e^(-x)cos(9x) + 162xe^(-x)sin(9x) - 18xe^(-x)sin(9x) + 9xe^(-x)cos(9x)).
6. Simplifying further, we obtain the second derivative as (18e^(-x)cos(9x) + 153xe^(-x)sin(9x)).
7. Now, if we substitute x^4e^(-4x) into the second derivative operator D^2, we find that (18e^(-x)cos(9x) + 153xe^(-x)sin(9x)) = 0. Therefore, the operator D^2 annihilates the function x^4e^(-4x).
In summary, the second derivative operator D^2 annihilates both the function xe^(-x)sin(9x) and x^4e^(-4x). This is because when we apply the operator to these functions, the result is equal to zero.
Learn more about the second derivative:
https://brainly.com/question/27220650
#SPJ11
Answer This Correctly ASAP For Brainliest (Worth 65 Points!). Wrong Answers Will Be Reported
Answer:
This is a fast answer:
D, A, B, A, A.
Let me know if you need explanation! All the best :D
what can you not find in mutually exclusive or dependent data
In mutually exclusive data, you cannot find any overlap or intersection between the categories or events being analyzed.
This means that the occurrence of one event or category precludes the occurrence of the other. On the other hand, in dependent data, the occurrence of one event or category may have an effect on the occurrence of the other, and thus, they are not completely independent or separate. Therefore, in both cases, you cannot find any shared or common outcomes or occurrences between the categories or events being analyzed.
You cannot find a direct correlation or causal relationship between mutually exclusive or dependent data. In mutually exclusive events, the occurrence of one event prevents the occurrence of the other, meaning they cannot happen at the same time. In dependent events, the probability of one event happening is influenced by the outcome of a previous event. Due to these characteristics, it is not possible to establish a direct correlation or causal relationship between such events.
Learn more about mutually exclusive here:
https://brainly.com/question/24812166
#SPJ11
Given the scientific notation, convert the following using standard notation.
4.56 x 10^5
Answer:
456000
Step-by-step explanation:
cause
What is the distance between 7 and -1?
(01.02 MC)
Determine the solutions of the equation:
|1/3×+9|-3=21
Ox= -11 and x = 5
Ox= -81 and x = 45
O x = -99 and x = 45
O x = -99 and x = 99
The solution for given linear equation are x=-99 and x=45 i.e. C.
What is a linear equation ?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0
e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.
The standard form of a linear equation in two variables is of the form
Ax + By = C
e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
Given linear equation is |1/3×+9|-3=21
so, -1/3x-12=21 --->1
and 1/3x+6=21 --> 2
From 1
1/3x=-33
x=-99
From 2
1/3x=15
x=45
Hence,
The solution for given linear equation are x=-99 and x=45.
To know more about linear equations visit the link
https://brainly.com/question/29739212?referrer=searchResults
#SPJ1
2
Here are the first five terms of an arithmetic
sequence: 1, 6, 11, 16, 21, ...
a Write down, in terms of n, an expression for
the nth term of this arithmetic sequence.
HELP PLEASEEE, IMAGE IS SHOWN
Answer:
f(x)= (-4)/(5-X)
Step-by-step explanation:
Find the median & mean of 1.3 ,2.1, 1.8, 2.3, 2.2, 1.5
Mean : 1.9
Median : 1.95
These are the answers.
Which relation is a function?
A) [(-2,0),(-1,0),(-1,1),(0,2)]
B) [(0,1),(1,3),(2,5),(3,7)]
C) [(-1,4),(-1,6),(0,4),(1,8)]
D) [(9,5),(9,-5),(11,7),(11,-7)]
What do n the angle measure for A
Answer:
B I think, but I might be wrong