Answer:
When a denominator has a higher root, multiplying by the radicand will not remove the root. Instead, to rationalize the denominator we multiply by a number that will yield a new term that can come out of the root. For example, with a cube root multiply by a number that will give a cubic number such as 8, 27, or 64.
Find the intersection of the three sets: A = {–2, 7, 8, 9}, B = {–2, 5, 9}, C = {–2, 5, 9}.
A {–2, 5, 7, 8, 9}
B null set
C {–2, 5, 8, 9}
D {–2, 9}
NEED DONE ASAP 20 PTS!!!!!!
x(x-4)=7
AND
x^2+2x+2=0
solve these two problems by completing the square and show all work please!
There are 364 first-grade students in park elementary school. If there are 26 more girls than boys, how many girls are there?Use polya's strategy and make an equation.
Answer:
there are 195 girls
Step-by-step explanation:
the equation is: 364= 2x+26
subtract 26 from both sides and you get 338
338 divided by 2 is 169, therefore there are 169 boys.
169+26 more girls is 195
169+195= 364
b) Eric removed 24 fish from his pond over a period of 3 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Answer:
8
Step-by-step explanation:
24 divided by 3 equals 8.
NEED HELP ASAP
For each equation, determine whether the equation is true for all, some, or no values of x. Explain how you know.
a 3x = x + 8
b. 5x = x + x + x + x + x
c. 2 ( x + 5 ) = 2x + 5
Answer:
a.) not true
b.) true
c.) true
Step-by-step explanation:
Nick has some quarters and dimes. He has 17 coins worth a total of $3.35. How many of each type
of coin does he have?
The alpha level that a researcher sets at the beginning of the experiment is the level to which he wishes to limit the probability of making the error of______________ . Identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning that the critical region is split across both tails of the distribution. The z-score boundaries at an alpha level α = .05 are:___________
Answer:
Kindly check explanation
Step-by-step explanation:
The alpha level set at the beginning of of an experiment is used by the researcher to the limit the probability if making a type 1 error. The type 1 error is committed when a true null hypothesis is incorrectly rejected.
The type 2 error on the other hand is committed when fail to reject a false null hypothesis.
Hence, in other to forestall the risk of incorrectly rejecting a true null hypothesis, the alpha level is set.
When critical region is split across both tails of the distribution, The z-score boundaries at an alpha level α = .05
α = .05 (95% confidence level)
When region is split into 2:
α/2 = .05/2
α/2 = 0.025
Loooking up the z table for the Zscore with probability of 0.025
Zscore = ±1.96
The alpha level, which would be chosen at the start of an investigation, is utilized by the investigator to restrict the likelihood of making a type 1 error and the z-score will be "[tex]\pm[/tex] 1.96".
Type 1 error and ProbabilityAccording to the question,
Whenever the genuine null hypothesis has been wrongly dismissed or discarded, a type 1 problem happens.
When the crucial zone is divided between the distribution's two tails. At an alpha level, the z-score boundaries be:
95% confidence level, α = 0.05
Now,
→ [tex]\frac{\alpha}{2} = \frac{0.05}{2}[/tex]
By applying cross-multiplication, we get
[tex]\frac{\alpha}{2} = 0.025[/tex]
hence,
By using the z table,
Z-score = [tex]\pm[/tex] 1.96
Thus the above answer is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Nico got a score of 81.6; this version has a mean of 72.6 and a standard deviation of 15. Emilio got a score of 225.3; this version has a mean of 205 and a standard deviation of 29. Alissa got a score of 8.08; this version has a mean of 7.2 and a standard deviation of 0.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
ALISSA
Step-by-step explanation:
Given the following scores :
NICO:
Score (x) = 81.6
Mean (m) = 72.6
Standard deviation (sd) = 15
EMILIO:
Score (x) = 225.3
Mean (m) = 205
Standard deviation (sd) = 29
ALISSA:
Score (x) = 8.08
Mean (m) = 7.2
Standard deviation (sd) = 0.4
STANDARDIZING THE DIFFERENT APTITUDE TEST SCORES:
OBTAINING THE ZSCORES :
Zscore = (x - mean) / standard deviation
NICO:
Zscore = (81.6 - 72.6) / 15
Zscore = 0.6
EMILIO:
Zscore = (225.3 - 205) / 29
Zscore = 0.7
ALISSA:
Zscore = (8.08 - 7.2) / 0.4
Zscore = 2.2
From the result of the Zscore, the best fit for the position is ALISSA
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>CLICK ON ME MATH GENIUSES WHO ARE NOT GOOD AT ESSAYS<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
YOURREWARD- 11 POITNS 1 ESSAY AND 4 MEMES FOR EACH QUESTION ANSWERED
.
.
.
2. Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x+9) ?
A The graph of g(x) is the graph of f(x) translated 9 units right.
B The graph of g(x) is the graph of f(x) translated 9 units left.
C The graph of g(x) is the graph of f(x) vertically stretched by a factor of 9.
D The graph of g(x) is the graph of f(x) vertically compressed by a factor of 9.
.
.
3. The linear parent function, f(x)=x ,was transformed to create a graph g(x) =f(x)−1.
Which statement about the graphs is true?
A The graph of f is shifted 1 unit to the left to create the graph of g.
B The graph of f is shifted 1 unit down to create the graph of g.
C The graph of f is reflected over the x-axis to create the graph of g.
D The graph of f is reflected over the y-axis to create the graph of g
.
.
3. The graph of function g(x) is a vertical stretch of the graph of function f(x)=x by a factor of 2.
Which equation describes function g(x)?
A g(x)=f(x)−2
B g(x)=12f(x)
C g(x)=2f(x)
D g(x)=f(x)+2
.
.
4. The function f(x)=x was transformed to create a graph g(x)=f(x−3)+1.
Which statement describes how the graphs of f and g are related?
A The graph of f is shifted to the right 3 units and down 1 unit to create the graph of g.
B The graph of f is shifted to the right 3 units and up 1 unit to create the graph of g.
C The graph of f is shifted to the left 3 units and up 1 unit to create the graph of g.
D The graph of f is shifted to the left 3 units and down 1 unit to create the graph of g.
Answer:
It is B, B, C, B
(x-1) would be the opposite on the x axis so it will be 1 to the right.
If it is (x)-1 is accurate to the horizontal change so it is 1 down.
Step-by-step explanation:
Which statement illustrates the distributive property?
A. 9(51 - 12) = 9(51) – 121
OB. 9(5i +121) = 9(121 + 51)
OC. 9(51 – 12) = 9(51) — 9(121)
OD
9 + (51 – 12i) = (9 +51) - (9 + 121)
Answer: Choice C
9(51-12) = 9(51) - 9(12)
============================================
Explanation:
The distributive property is
a(b+c) = a*b + a*c
which can also be written as
a(b-c) = a*b + a*(-c) = a*b - a*c
In this case we're using
a(b-c) = a*b - a*c
where a = 9, b = 51, c = 12
What is 15:2=n:8
Solve for n
Answer:
2+|3x|=2+3
in(x)+2=5
x-4>7
Select all of the true statements about the standard deviation of a quantitative variable. 1. Standard deviation is resistive to unusual values. 2.The standard deviation of a set of values is equal to 0 if and only if all of the values are the same. 3. Standard deviation is never negative. 4.Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation. 5.If a set of values has a mean of 0 and a standard deviation that is not 0, then adding a new data point with a value of 0 will have no effect on the standard deviation. 6.Standard deviation represents how far a group of values are from the mean of those values, on average.
Answer:
Considering the first statement
Standard deviation is resistive to unusual values
This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean
Considering the second statement
The standard deviation of a set of values is equal to 0 if and only if all of the values are the same.
This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.
Considering the third statement
Standard deviation is never negative.
This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.
Considering the fourth statement
Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation
This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean
Considering the fifth statement
If a set of values has a mean of 0 and a standard deviation that is not 0, then adding a new data point with a value of 0 will have no effect on the standard deviation.
This statement is false because , let take an example
x -4 - 3 0 3 4
Generally the mean is mathematically evaluated as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{-4+ (- 3)+ 0 + 3 + 4 }{5}[/tex]
=> [tex]\= x = 0 [/tex]
Generally the standard deviation is mathematically evaluated as
[tex]\sigma = \sqrt{\frac{\sum (x_ i - \= x )^2}{y} }[/tex]
[tex]\sigma = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (0 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{5} }[/tex]
=> [tex]\sigma = 3.16 [/tex]
Now when zero is removed the standard deviation is
[tex]\sigma_1 = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{4} }[/tex]
=> [tex]\sigma_1 = 3.54 [/tex]
Since [tex]\sigma \ne \sigma _1[/tex] the above statement is false
Considering the sixth statement
Standard deviation represents how far a group of values are from the mean of those values, on average.
This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.
Step-by-step explanation:
The function h(x) = 8x^3 + 7x^5 - x is:
Answer:
x 3 ⋅(7x 2+8)
Step-by-step explanation:
(8 • (x3)) + 7x5
23x3 + 7x5
Pull out like factors :
7x5 + 8x3 = x3 • (7x2 + 8)
Find roots (zeroes) of : F(x) = 7x2 + 8
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 7 and the Trailing Constant is 8.
The factor(s) are:
of the Leading Coefficient : 1,7
of the Trailing Constant : 1 ,2 ,4 ,8
P Q P/Q F(P/Q) Diviso
-1 1 -1.00 15.00
-1 7 -0.14 8.14
-2 1 -2.00 36.00
-2 7 -0.29 8.57
-4 1 -4.00 120.00
-4 7 -0.57 10.29
-8 1 -8.00 456.00
-8 7 -1.14 17.14
1 1 1.00 15.00
1 7 0.14 8.14
2 1 2.00 36.00
2 7 0.29 8.57
4 1 4.00 120.00
4 7 0.57 10.29
8 1 8.00 456.00
8 7 1.14 17.14
Polynomial Roots Calculator found no rational roots
How do you do this question?
Answer:
-3/16
Step-by-step explanation:
x = 6 + t²
y = t² + t³
dx/dt = 2t
dy/dt = 2t + 3t²
dy/dx = (2t + 3t²) / 2t
dy/dx = 1 + 1.5t
d²y/dx² = d(dy/dx)/dt / (dx/dt)
d²y/dx² = (1.5) / (2t)
d²y/dx² = 3 / (4t)
At t = -4:
d²y/dx² = 3 / (4 × -4)
d²y/dx² = -3/16
-3 (-2/5) pls help me .
Answer: 1.2
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
First, you have to figure out -2/5 because it's in parentheses.
-2/5 = -0.4
Then, multiply -3.
-0.4 x -3 = 1.2
Hope this helped...have a great day c:
Anthony's father wants a quick way to estimate the amount of fencing needed. Mr. Chen asked Anthony to help him. Anthony realizes that this is just a perimeter question. He starts his task by analyzing the relationship between the length of the side of a square flower bed and the perimeter of the flower bed. This will tell him the amount of fence needed to enclose the flower bed. Anthony realizes that lengths of sides of flower beds are not always whole numbers, but he decides to use square tiles to build models of flower beds of various sizes to help him find a pattern. In his models, 1 tile represents 1 square foot.
Answer:
it is just length plus width times two.
Step-by-step explanation:
Given the graph of a linear function, identify the steps used to find the initial value. Check all that apply.
A) Find the rate of change using rise over run.
B) Find corresponding y values when x = 6, x = 7, and x = 8. Then plot the points to finish the line.
C) Find corresponding y values when x = 2, x = 1, and x = 0. Then plot the points to finish the line.
D)The initial value corresponds to the y value when x = 1.
E) The initial value corresponds to the y value when x = 0.
Answer:A C and E
Step-by-step explanation:
Because that is how you do it
PLEASE HELP ME!!!!!!!! I NEED THE MATH TOO!!!!
If it takes 15 seconds to earn 10,000 points, how long (in seconds) will it take to earn 5 million points?
Answer:
7500
Step-by-step explanation:
5,000,000÷10,000=500
500×15=7500
Answer:
7,500 seconds
Step-by-step explanation:
First you must find how many 10,000 points are in 5 million:
5,000,000 ÷ 10,000 = 500
Then, multiply that number by 15 seconds. To find how long it will take. And that will give you the answer:
500 x 15 = 7,500 seconds
Hope this helps you out! : )
What fraction is equivalent to 2 over -6
- 3/4+2 3/4 what is the answer
Answer:
its 2 the negative cancles out
Step-by-step explanation:
Factor the expression using the GCF: 12x + 36 *
2(6x + 18)
314x + 12)
4(3x + 9)
12(x + 3)
The answer fam is.........12(x + 3)
Order these numbers from least to greatest.
Answer: 7.1061 < 7.509 < 7.56 < 7.6
Step-by-step explanation: Brainlest please
Answer:
7.1061, 7.509, 7.56, 7.6
Step-by-step explanation:
7.1 is the least number then 7.5 is the next greatest number then 7.56 is the next greatest number, and then 7.6 is the greatest number.
How do you convert 2.25 • 10^6 into standard form?
Answer:
2,250,000
Step-by-step explanation:
1. Suppose y varies directly as x. If y = 3 when x = 15. then find x when y = 5.
Answer:
when y=3,X=15
here X is five times the value of y
so now when y= 5 then the value of X will be 25
hope you understand......
When the value of y is 5 then the value of x will be 25.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
y ∝ x
If y = 3 then x = 15
As a result,
x = 5y
Put y = 5 in the above relation,
x = 5 × 5
x = 25
Thus, when the value of y is 5 then the value of x will be 25.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
In Chicago, the temperature at noon was 11.4°F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight?
Shaun is out shopping and finds a television originally
valued at $76.00. It is now on sale for 50% of the
original price.
What is the new cost of the item?
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10. Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points) Part B: Solve for k in each type of transformation. (4 points) Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
First, let's find the equations for our lines:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
f(x) passes through (5,0) and (10, 10), then the slope is:
a = (10 - 0)/(10 - 5) = 10/5 = 2.
then we have:
y = 2*x + b
And when x = 5, we have y = 0.
0 = 2*5 + b
0 = 10 + b
b = -10
Then the equation for f(x) is:
y = f(x) = 2*x - 10.
Now for g(x) we have the points:
(3, 0) and (2, 10)
a = (10 - 0)/(2 - 3) = -10
y = -10*x + b
0 = -10*3 + b
b = 30.
y = g(x) = -10*x + 30.
A) Ok, the transformations:
Transformation 1 or T1.
f(x) = 2*x - 10
g(x) = -10*x + 30.
Then, we start with f(x):
First, we can move f(x) up 4 units and get:
f'(x) = 2*X - 6
Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:
f''(x) = -5*f'(x) = -10*x + 30.
And this is g(x).
Transformation 2 or T2.
Move f(x) up 10 units, so now we have:
f'(x) = 2*x
Do a reflection over the x-axis, so the sign of y changes, and now we get:
f''(x) = -2*x
Do a dilation of scale factor 5
f'''(x) = 5*-2*x = -10*x
Now do a vertical translation of 30 units up.
f''''(x) = -10*x + 30 = g(x).
These are two transformations that start with f(x) and end with g(x).
B) Ok, as i was writting the transformations i already solved them, so this part is already done.
C) the equation for the transformations are:
T1) g(x) = -5*(f(x) + 4)
T2) g(x) = -(f(x) + 10)*5 + 30
What is this angle?
Answer:
The type of angle is same-side interior angles
Answer:
its hard hayst sorry -,-
Which equation uses the Pythagorean Theorem to determine whether the side lengths 12, 24, and 26 form a right triangle?
12^2 + 26^2 ≠ 24^2
12^2 – 24^2 ≠ 26^2
12^2 + 24^2 ≠ 26^2
24^2 – 12^2 ≠ 26^2
Please and thank you!!!!!! <3
Answer:
C
Step-by-step explanation:
12²+24²=144+576=720≠26²(676)
Which shows the expression below simplified?
0.42 + (3.5 × 10-2)
Answer: 33.42
Step-by-step explanation: 0.42 + (35 - 2) —> 0.42 + 33 = 33.42
Answer:
Step-by-step explanation:
50