Answer:
No
Step-by-step explanation:
This is because square root of 15 is between 3 and 4, which are not greater than 5. To make a right triangle you could used two 5 for side a and b BUT the longer side of the triangle has to be Greater than a and b
Hope this helped
Why are factorial designs useful in testing theories?
a. They allow researchers to explore the construct validity of a theory.
b. Results from factorial designs are typically straightforward and easy to interpret.
c. They allow researchers to understand the nuances of how variables interact.
d. Results from factorial designs are always intuitive.
Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer is option (a).
What is factorial designs?A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.
What is testing theories?The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.
a) They enable academics to investigate a theory's construct validity.
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Substitution algebra 1 please help
The system of equation has no solution because x cannot be found.
How to solve system of equation using substitution method?System of equation can be solved using various method such as substitution method, elimination method and graphical method.
Therefore, let's solve the system of equation using substitution method.
-5x + 5y = 10
y = x + 2
Let's substitute the value of y in equation(i)
-5x + 5y = 10
-5x + 5(x + 2) = 10
-5x + 5x + 10 = 10
0 + 10 = 10
10 = 10
Therefore, the system of equation has no solution.
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What is the y intercept?
What is the slope?
Write the equation of the line to represent situation.
Answer:
y int is 20
slope = 2
equation: y = 2x + 20
Ms. Wells is going to order 4 large cheese pizzas for a class pizza party at the end of the school year. She expects she'll spend at least $40 on the pizzas. Let x represent how much ms. Wells expects each pizza to cost. Which inequality describes the problem?.
The correct inequality that describes the problem is 4x ≥ 40. Thus, the correct answer is A.
The answer is A because Ms. Wells is ordering 4 large cheese pizzas, and she expects to spend at least $40 on the pizzas. The inequality 4x ≥ 40 represents the total cost of the pizzas, which is 4 times the cost of each pizza (4x) and should be greater than or equal to $40. This inequality tells us that the total cost of the pizzas is at least $40, which is what Ms. Wells expects.
Option B, 4x > 40x, is incorrect because it doesn't make sense mathematically. The right side of the inequality is 40x, which is not related to the problem, and it also doesn't make sense that each pizza will cost 40 dollars.
Option C, 4x ≤ 40, is incorrect because it represents the total cost of the pizzas as less than or equal to $40, which doesn't match with Ms. Wells' expectation that she expects to spend at least $40 on the pizzas.
This question should be provided with answer choices, which are:
A. 4x ≥ 40B. 4x > 40xC. 4x ≤ 40The correct answer is A.
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(a) Consider the differential equation -u"(x) = x in (0,1), (0) = u(1) = 0. (1) DUET (v) Taking a mesh with two elements (N = 2), compute the finite element solu- tion ux(x) for x € (0,1). Compute the error between the exact solution and the approximate solution at the node located at the midpoint of the interval \u,(0.5) - (0.5).
The error at the midpoint of the interval (0.5) is approximately 0.0012.
The given differential equation is -u''(x) = x in (0,1), with boundary conditions (0) = u(1) = 0.(1) DUET (v)
Taking a mesh with two elements (N = 2), compute the finite element solution u(x) for x ∈ (0,1).
To begin, let us generate a mesh with two elements. We will use the linear basis function in this example, and each element has two nodes. The nodes in the element 1 are {0,0.5}, while the nodes in the element 2 are {0.5,1}
We'll now compute the finite element solution by solving the system of linear equations that arise from the weak form of the differential equation. The weak form of the differential equation is obtained by multiplying it by a test function v(x) and integrating by parts over the domain (0,1).-∫(0,1)u''(x)v(x)dx = ∫(0,1)xv(x)dx
This can be simplified to∫(0,1)u'(x)v'(x)dx - [u'(x)v(x)](0,1) = ∫(0,1)xv(x)dx.
Applying the boundary conditions u(0) = u(1) = 0 and discretizing the solution using linear basis functions, we obtain the following system of linear equations:
[2 -1 0 0] [u1] [h^2/2] [-1 2 -1 0] [u2] = [h^2/2] [0 -1 2 -1] [u3] [h^2/2] [0 0 -1 2] [u4] [h^2/2]
Here, hi = 1/2 is the length of each element.
The solution to this system is given by u = [u1,u2,u3,u4].
Solving this system, we obtain the following values for u:[u1,u2,u3,u4] = [0, 0.123, 0.227, 0.295]
The approximate solution of the differential equation is
u(x) = 0.246x, x ∈ (0,0.5), and u(x) = 0.385x - 0.058, x ∈ (0.5,1).
The exact solution of the differential equation is u(x) = (x^4)/12 - (x^3)/6, x ∈ (0,1).
Thus, the error at the midpoint of the interval (0.5) is given by:|u(0.5) - u(0.5)| = |(0.5^4)/12 - (0.5^3)/6 - 0.385(0.5) + 0.058 - 0.123|≈ 0.0012
The error at the midpoint of the interval (0.5) is approximately 0.0012.
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What is it? Please help
Answer:
D
Step-by-step explanation:
5*3+3=18
5*4+3=23
5*5+3=28
5*6+3=33
5*7+3=38
5*8+3=43
A fisherman can row upstream at 5 mph and downstream at 10 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 6 hours?
Rey’s cousins want to construct a playpen for her. After measuring the living room, they construct the rectangular playpen represented by the figure. If each square unit represents half a square foot, how much area does Rey have to play, in square feet?
Answer: ITS 10!!!!
Step-by-step explanation:
Solve for x
O4
O5
O-10
O12
Answer:
x = 5
Step-by-step explanation:
Firstly, we know that corresponding angles are the same. So we can say that 25x + 5 = 26x
Let’s simplify this equation:
25x + 5 =26x
-25x -25x
5 = x
Therefore, x = 5.
A company with 36 employees is moving to a new location. All of the employees are divided into groups of 3 for the move. Write an equation and find the number of groups used for the move.
Write a division equation to find the number of groups of employees. Let g represent the number of groups.
g=36/3 is the required equation and 12 be the number of groups of employees.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that A company with 36 employees is moving to a new location.
All the 36 employees are divided into groups of 3 for the move
We need to find the number of groups used for the move.
Let g represent the number of groups.
g=36/3
=12
Hence, g=36/3 is the required equation and 12 be the number of groups of employees.
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In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the query, there is an error. This will find Angle YXZ and the angle YZX.
The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.
\(\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\\)
\(\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}\)
Visa Gold cardholders resulted in a mean household income of $77,450 with a standard deviation of $11,200. A random survey of 11 MasterCard Gold cardholders resulted in a mean household income of $68,360 with a standard deviation of $11,400. Is there enough evidence to support the executive's claim?
No, there is not enough evidence to support the executive's claim.
In order to determine whether there is enough evidence to support the executive's claim, we need to compare the mean household incomes of Visa Gold cardholders and MasterCard Gold cardholders. The mean household income for Visa Gold cardholders is $77,450 with a standard deviation of $11,200, while the mean household income for MasterCard Gold cardholders is $68,360 with a standard deviation of $11,400.
To assess the significance of the difference between these means, we can conduct a hypothesis test. The null hypothesis would state that there is no significant difference between the mean household incomes of Visa Gold and MasterCard Gold cardholders, while the alternative hypothesis would state that there is a significant difference.
By comparing the means and standard deviations, we can calculate the test statistic. Since the sample sizes are small (11 for MasterCard Gold cardholders), we can use a t-test for independent samples. With the given information, we find that the t-value is approximately -1.29.
To determine whether the difference is statistically significant, we need to compare the calculated t-value with the critical t-value at a specified level of significance (e.g., 0.05). The critical t-value for a two-tailed test with 10 degrees of freedom is approximately ±2.228.
Since the calculated t-value (-1.29) is within the range of the critical t-values (-2.228 to 2.228), we fail to reject the null hypothesis. Therefore, there is not enough evidence to support the executive's claim. The difference in mean household incomes between Visa Gold and MasterCard Gold cardholders is not statistically significant.
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help asap no wrong answers----------------------
Answer:
\(y=-2(sin(2x))-7\)
Step-by-step explanation:
1. Approach
Given information:
The graph intersects the midline at (0, -7)The graph has a minimum point at (\(\frac{\pi}{4}\), 9).What conclusions can be made about this function:
The graph is a sine function, as its y-intercept intersects the midlineThis graph has a negative coefficient, this is because after intersecting the midlines at the y-intercept, the function has a minimum.This graph does not appear to have undergone any horizontal shift, as it intercepts the midlines with its y-interceptTherefore, one has the following information figured out:
\(y=-n(sin(ax))+b\)
Now one has to find the following information:
amplitudemidlineperiod2. Midline
The midlines can simply be defined as a line that goes through a sinusoidal function, cutting the function in half. This is represented by the constant (b). One is given that point (0, -7) is where the graph intersects the midline. The (y-coordinate) of this point is the midline. Therefore, the midline is the following:
y = -7
2. Amplitude
The amplitude is represented by the coefficient (n). It can simply be defined by the distance from the midline to point of maximum (the highest part of a sinusoidal function) or point of minimum (lowest point on the function). Since the function reaches a point of minimum after intercepting the (y-axis) at its midlines, the amplitude is a negative coefficient. One can find the absolute value of the amplitude by finding the difference of the (y-coordinate) of the point of minimum (or maximum) and the absolute value of the midline.
point of minimum: \((\frac{\pi}{4},9)\)
midline: \(y=-7\)
Amplitude: 9 - |-7| = 9 - 7 = 2
3. Period
The period of a sinusoidal function is the amount of time it takes to reach the same point on the wave. In essence, if one were to select any point on the sinusoidal function, and draw a line going to the right, how long would it take for that line to reach a point on the function that is identical to the point at which it started. This can be found by taking the difference of the (x- coordinate) of the intersection point of the midline, and the (x-coordinate) of the point of minimum, and multiplying it by (4).
point of minimum: \((\frac{\pi}{4},9)\)
midline intersection: \((0, -7)\)
Period: \(4(\frac{\pi}{4}-0)=4(\frac{\pi}{4})=\pi\)
However, in order to input this into the function in place of the variable (a), one has to divide this number by (\(2\pi\)).
\(a=\frac{2\pi}{\pi}=2\)
4. Assemble the function
One now has the following solutions to the variables:
\(n =-16\\a=2\\b=-7\\\)
Substitute these values into the function:
\(y=-2(sin(2x))-7\)
Kylie works as a salesperson at an electronics store and sells phones and phone accessories. Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells. On a given day, kylie made a total of $352 in commission and sold 6 more accessories than phones. Determine the number of phones sold and the number of accessories sold.
The number of phones sold would be 20
And, the number of accessories sold would be 26.
Used the concept of an equation that states,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells.
And, On a given day, Kylie made a total of $352 in commission and sold 6 more accessories than phones.
Let us assume that,
The number of phones sold = x
And, the number of accessories sold = y
Hence, the equation becomes,
15x + 2y = 352 .. (i)
And, y = x + 6 .. (ii)
Substitute the value of y in (i);
15x + 2y = 352
15x + 2 (x + 6) = 352
15x + 2x + 12 = 352
17x + 12 = 352
17x = 352 - 12
17x = 340
x = 340/17
x = 20
From (ii);
y = x + 6
y = 20 + 6
y = 26
Therefore, The number of phones sold = 20
And, the number of accessories sold = 26
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(a) If you choose a single nucleotide at random from each of the two regions, what is the probability that they are the same nucleotide?
(b)You random sample a three-nucleotide sequence from each of the 2 regions. What is the chance that the triple chosen from the first region will be identical to the triple chosen from the second region? (assume that nucleotides occur independently within each region)
(a) The probability that a randomly chosen nucleotide from the first region is the same as a randomly chosen nucleotide from the second region is 1/4.
(B) The chance that the triple chosen from the first region will be identical to the triple chosen from the second region is 1/4096.
Nucleotide Probabilities: Single and Triple(a) If we assume that there are four possible nucleotides (A, C, G, T) and that each nucleotide is equally likely to occur in each region, then the probability that a randomly chosen nucleotide from the first region is the same as a randomly chosen nucleotide from the second region is 1/4, since there is a 1 in 4 chance that the nucleotide chosen from the first region will be the same as the nucleotide chosen from the second region.
(b) If we again assume that there are four possible nucleotides (A, C, G, T) and that each nucleotide is equally likely to occur in each region, then the probability of choosing a particular three-nucleotide sequence is (1/4)³ = 1/64.
The probability of choosing the same three-nucleotide sequence from both regions is the product of the probabilities of choosing that sequence from each region, or (1/64) x (1/64) = 1/4096. Therefore, the chance that the triple chosen from the first region will be identical to the triple chosen from the second region is 1/4096.
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(-2,5), slope 6 in point slope form
Answer:
y-5=6*(x+2)
Step-by-step explanation:
Answer:
y-5=6(x--2)
The formula for point slope form is: y-y1=m(x-x1)
1. SOCCER Suppose a youth soccer field has a
perimeter of 320 yards and its length measures 40
yards more than its width. Ms. Hughey asks her
players to determine the length and width of their
field. She gives them the following system of
equations to represent the situation. Use elimination to
solve the system to find the length and width of the
field.
2L + 2W=320
L - W = 40
Answer:
L = 100
W = 60
Step-by-step explanation:
2L + 2W = 320
-2L + 2W = -80
4W = 240
W = 60
L - W = 40
L - 60 = 40
L = 100
Find the volume of the conical paper cup.
Answer:
i think it is A sorry if I am worng
Answer:
21 is the correct answer
Step-by-step explanation:
Multiple Choice $76,354.69 $30,000.00 $51,481.38 $33,333.33 The answer cannot be determined from the information provided.
The hypothetical constant-benefit payment is $76354.69. Hence, the correct option is b.
To calculate the hypothetical constant-benefit payment for a variable annuity contract, we need to use the present value of an annuity formula. The formula is as follows
Constant-benefit payment = P / [(1 - (1 + r)⁻ⁿ) / r]
Where
P = Accumulated amount in the annuity contract ($750,000)
r = Assumed investment return (9% or 0.09)
n = Life expectancy in years (25)
Using the given values in the formula, we can calculate the constant-benefit payment
Constant-benefit payment
= 750,000 / [(1 - (1 + 0.09)⁻²⁵) / 0.09]
= 750,000 / [(1 - (1.09)⁻²⁵) / 0.09]
= 750,000 / [(1 - 0.115) / 0.09]
= 750,000 / [0.884 / 0.09]
= 750,000 / 9.8
≈ 76354.69
Calculating this value gives us approximately $76354.69.
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-- The given question is incomplete, the complete question is
"Assume that at retirement you have accumulated $750,000 in a variable annuity contract. The assumed investment return is 9%, and your life expectancy is 25 years. What is the hypothetical constant-benefit payment?
a. $51,481.38 b. $76,354.69 c. $30,000.00 d. $33,333.33 e. The answer cannot be determined"--
3 3/5 • (-8 1/3)
-8 4/5
-30
-4 3/5
-24
Please find the next fraction to this sequence! Right answers only!
Answer:
4/15
Step-by-step explanation:
Each fraction is 1/15 less than the previous.
If we make them all the same denominator,
then it would show as:
8/15
7/15
6/15
5/15
The next fraction would be 5/15 - 1/15
which is
4/15
Answer:
4 1
__ because it goes down by ___
15 15
Step-by-step explanation:
please help me out on this !! i really need it !!
Subtract
1/13
31
55
62
110
2
3/5
55
7
10
-
3
22. Simplify the answer.
When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
To subtract 3 from 22, we can perform the subtraction operation as follows:
22
3
19
We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.
Therefore, the simplified answer is 19.
The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.
By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.
In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
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Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-2) and (x-11)
The correct option is - B. 2 and 11 , are the value of x that will make the polynomial equal to zero for the factors of (x-2) and (x-11).
Explain about the factors of polynomial?Several algebraic expressions must be factored in order to be simplified, and factoring is a helpful tool in the solution of higher degree problems. In truth, factoring is a step in algebra that must be understood in order to move on to the next level of difficulty.
A polynomial is factored when it is expressed as the product with two or more factors; this is somewhat the opposite of multiplying.A polynomial must be stated as a product of terms into their simplest form in order to be written in factored form. The terms, that then cannot be further factorised, could be constants, linear equations, or any polynomial expression.For the given polynomial, if (x-2) and (x-11) are the factors of polynomial such that polynomial becomes zero.
Thus, (x-2) and (x-11) are called the zeros of the polynomial.
Then,
x-2 = 0
x = 2
and,
x - 11 = 0
x = 11
Therefore, the correct option is - B. 2 and 11 , are the value of x that will make the polynomial equal to zero for the factors of (x-2) and (x-11).
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| x|= 5
what is the absolute value?
Answer:
5
Step-by-step explanation:
if x= 5 or -5, either way their absolute value will be 5
hope i helped :D
Answer:
It’s 5
Step-by-step explanation:
First for x put 5. The | 5| is 5. Remember absolute value never can be negative
Which expression is equivalent to -19-11?
Answer:
option A is correct ans of this qn
Your local dry cleaners is running a special. The dry cleaner is offering a 13% discount for any drop off that is over
$40. Also, they are running a neighborhood special of an additional 5% off. Given this information, determine the
decay factor corresponding to each percent decrease.
a. 34.8; 33.06
0.87: 0.95
b. 0.384; 0.3306
d. 87, 95
C.
Answer:
a
Step-by-step explan
Answer:
it's C I took the test and put a and got it wrong
Step-by-step explanation:
20points!!!!!
A rectangle measuring 5 cm by 3 cm
is scaled up to create an image with
side lengths of 7.5 cm and 4.5 cm.
How do the areas of the
two similar figures compare?
a) The area of the image is 1.5 times larger.
b) The area of the image is 2.25 times larger.
c) They have the same area because
they are similar figures.
d) none of the above
Answer:
The answer is b.
Step-by-step explanation:
Take the areas of the two rectangles by multiplying the numbers. Then divide the two numbers, in this case, 33.75 and 15.
Answer: b) The area of the image is 2.25 times larger.
Step-by-step explanation: !.5 larger in each direction results in 1.5×1.5 which is 2.25 enlargment.
4.5 × 7.5 =33.75 3×5= 15
33.75÷15 = 2.25
HELP PLEASE!! WILL GIVE BRAINLIEST!!!
Answer:
The slope will be y=-20/8x +17.5
Step-by-step explanation:
I hope this Helped
Julian is trying to decide on a future career. He has narrowed down his choices to orthodontist, sound engineering technician, police officer, or editor. The following table represents the total employment numbers for 2006 and projected employment numbers for 2016.
Orthodontist
Sound engineer technician
Police officer
Editor
2006
9,206
16,125
648,982
122,273
2016
10,214
17,864
719,041
124,135
Which profession is projected to have the greatest percent of increase in the number of jobs from 2006 to 2016?
a.
Orthodontist
b.
Sound engineer technician
c.
Police officer
d.
Editor
The profession that is projected to have the greatest percent of increase in the number of jobs from 2006 to 2016 is B. sound engineer technician.
How to calculate the percentage?The increase in percentage for orthodontist will be:
= (10214 - 9206) / 9206 × 100
= 1008 / 9206 × 100
= 10.95%
The increase in percentage for sound engineer will be:
= (17864 - 16125) / 16125 × 100
= 1739/16125 × 100
= 10.79%
The increase in percentage for police officer will be:
= (719041 - 648982) / 719041 × 100
= 70059/719041 × 100
= 9.74%
The increase in percentage for editor will be:
= (124135 - 122273)/124135 × 100
= 1862/124135 × 100
= 1.5%
Therefore, the sound engineer has the greatest percentage increase.
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Answer:
sound engineer
Step-by-step explanation: