Mediator variable explains the relationship between IV and DV.
Moderator variable that changes the relationship between an IV and a DV.
What is a Mediator Variable and a Moderator Variable?A mediator variable can be described as a third variable that explains how an independent variable affects a dependent variable, while a moderator variable can directly alter or strengthen the relationship between the independent and independent variable.
For example, alertness is a mediator variable between the independent variable, sleep quality, and dependent variable, achievement.
In summary, mediator variable explains the relationship between IV and DV, while the variable that changes the relationship between an IV and a DV is the moderator variable.
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Write a cosine function that has an amplitude of 2, a midline of 5 and a period of T.
phase shift is 0
General equation
y=AcosB(x-C)+Dc is phase shift
y=AcosBx+DMidline is D
y=AcosBx+5A is amplitude
y=2cosBx+5B is period
2π/TSo
Final equation
y=2cos(2πx/T)+5Not mandatory from now
For some special cases 2π/T=omega
So Equation yields
y=2cos([tex]\omega x[/tex])+5Answer:
[tex]f(x)=2 \cos (2x)+5[/tex]
Step-by-step explanation:
The cosine function is periodic, meaning it repeats forever.
Standard form of a cosine function:
f(x) = A cos(B(x + C)) + D
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shiftGiven:
Amplitude = 2 ⇒ A = 2[tex]\sf Period=\pi \implies \dfrac{2 \pi}{B}=\pi \implies B=2[/tex]mid-line = 5 ⇒ D = 5Inputting the given values into the standard form:
[tex]\implies f(x)=2 \cos (2x)+5[/tex]
What is the approximate solution to this equation? 4inx-8=12
Answer:
[tex]x=e^5\approx148.413[/tex]
Step-by-step explanation:
[tex]4\ln x-8=12\\\\4\ln x=20\\\\\ln x = 5\\\\x=e^5[/tex]
Noah and Gabriel are in the same English class. They have taken 6 quizzes so far. Find the measures of center for each of the students.
Noah’s scores: 84, 85, 85, 86, 90, 92
Total of 522
Gabriel’s scores: 82, 85, 86, 86, 90, 94
Total of 523
What are Noah’s mean, median, and mode?
What are Gabriel’s mean, median, and mode?
Answer:
Not sure if you still want the answers but here you go
Step-by-step explanation:
Noah's mean: 87
Noah's median: 85.5
Noah's mode: 85
Gabriel's mean: 87.17
Gabriel's median: 86
Gabriel's mode: 86
Answer:
What are Noah’s mean, median, and mode?
✔ 87, 85.5, 85
What are Gabriel’s mean, median, and mode?
✔ 87.17, 86, 86
Step-by-step explanation:
just did it they are correct
solve this asap
Given that <ABD= 42°, <EFD= 81° and <BCF= 60°, find the value of the unknown.
solve by using corresponding, alternate and interior angles method.
Step-by-step explanation:
angle G = 81°
angle CFG = 60°
total angle inside CFG = 180
a+81+60=180
a=39°
In DBCF
Total angle is 360
60+39+138+b=360
b=134°
hope its right :)
ABCD is a quadrilateral work out CD
In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The length of AD will be
tan θ = AB/AD
AD = 12/ tan 35
AD = 17.14 cm
Then the value of the BD will be given by the Pythagoras.
BD² = AB² + AD²
BD² = 12² + 17.14²
BD² = 144 + 239.78
BD² = 437.78
BD = 20.92 cm
Then operate the sine rule in triangle BCD, we have
[tex]\dfrac{BD}{\sin C} = \dfrac{CD }{\sin B}\\\\\\\dfrac{20.92}{\sin 52} = \dfrac{CD }{\sin 102}\\\\\\CD = \dfrac{20.92 \times \sin 102}{\sin 52}[/tex]
On further solving, the value of CD will be
CD = 25.98
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2). Barb bought 5 Great America tickets for
$150. If she bought 7 tickets, how much
would that cost?
Answer:
210
Step-by-step explanation:
divide 150 by 5 to get individual cost, multiply by 7 to get total cost
First one to answer, i will mark brainlist
Answer:
Sides in descending order: YZ > ZX > XY
Step-by-step explanation:
Sum of all angles of triangle = 180
104 +52 + ∠Z = 180
156 + ∠Z = 180
∠Z = 180 - 156
Z = 24
The sides opposite to the biggest is the longest side.
Angles in descending order: ∠X > ∠Y > ∠Z
Sides in descending order: YZ > ZX > XYFind another angle
m<Z
180-(104+52)180-15624°We know higher the angle measure higher the opposite side and vice-versa
Here
X>Y>ZHence
YZ>XZ>XY9. Draw a right triangle that has the 90° angle
between 6 cm and 8 cm sides. What is the
length of the third side? How do you know
without measuring?
Naeema and Giovanna want to see who can run farther in 5 seconds. Naeema ran 9 yards and 8 inches. Giovanna ran 30 feet. Who ran farther? How much farther did they run?
Answer:
giovanna ran farther because naeema ran 9 yards and 8 inches and 9 yards is 27 feet so she ran 27 ft 8 in therefore giovanna ran farther
Step-by-step explanation:
30>27
Find the distance between $\frac{13}{3}$ and $\sqrt{\frac{16}{9}}$ on a number line. The distance is unit.
[tex]\cfrac{13}{3}~~ - ~~\sqrt{\cfrac{16}{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{\sqrt{16}}{\sqrt{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{4}{3}\implies \cfrac{13-4}{3}\implies \cfrac{9}{3}\implies 3[/tex]
4y+8-2y if y=3 what is the answer
Answer:
14.
Step-by-step explanation:
Plug 3 in for y:
= 4(3) + 8 - 2(3)
= 12 + 8 - 6
= 14.
Jimmy said that a rhombus is always a square. Zach said that a rhombus is always a rectangle. who is correct
Answer:
Jimmy is correct
Step-by-step explanation:
The dimensions of the rhombus and square are probably almost the same
mr.ellis has started a vegetable garden.he bought 15 bags of soil and 3 bags of fertilizer for 282.72.he realized he didnt have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.what was the cost of each bag of soil and fertilizer?let the cost of each bag of soil =x and the cost of bag of fertilizer = y.
The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mr. Ellis has started a vegetable garden.
He bought 15 bags of soil and 3 bags of fertilizer for 282.72.
He realized he did not have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.
Let the cost of each bag of soil be x and the cost of a bag of fertilizer be y.
Then we have the linear equations,
15x + 3y = 282.72
5x + 2y = 107.23
On solving the equations 1 and 2, we have
x = 16.25 and y = 12.99
The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
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Using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced? $5,150 $5,300 $10,150 $11,000
The best estimate of the profit when 350 pounds of food are produced is $5300
How to determine the best estimate?The quadratic regression is given as:
[tex]f(x) = -0.0817x^2 + 102.24x - 20421[/tex]
When 350 pounds are produced, it means that:
x = 350.
So, we have:
f(350) = -0.0817(350)^2 + 102.24(350) - 20421
Evaluate
f(350) = 5354.75
Approximate
f(350) = 5300
Hence, the best estimate is $5300
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $230 in a savings account that offers a 3% return on the investment. The value of David's investment will be at least $415 after a period of years. Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.
The value of David's investment will be at least $415 after a period of 20 years
Compound interestThe formula for calculating the compound interest is expressed as:
A = p(1+r)^t
Given the following parameters
A = $415P = $230r = 3% = 0.03Substitute
415 = 230(1+0.03)^t
415/230 = 1.03^t
1.8043 = 1.03^t
t = ln(1.8043)/ln1.03
t = 20 years
The value of David's investment will be at least $415 after a period of 20 years
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Pls help with this thx
jamal is attending a university where fitr tuition one year costs 11,800. he has a scholarship worth 1,500 per year he earns 2,500 per year at his part time job. he plans to take out a loan to cover the remaining tuition costs. Tuition will increase by 100 each year. If he completes collage in 4 years , how much money will jamal need to borrow
Answer:
Jamal will have to borrow 31,800.
Step-by-step explanation:
Total tuition for the full four years = 11,800 + 11,900 + 12,000 + 12,100 = 47,800
Total money from scholarship = 1,500 × 4 = 6,000
Total income received = 2,500 × 4 = 10,000
Total money to borrow = 47,800 - 6,000 - 10,000 = 31,800
find the value of x PLS HELP I WILL GIVE BRAINLIEST if its right :D
Answer:
x=21
Step-by-step explanation:
For simplicity's sake, I started by naming the angles. Please reference the attachment.
For this, we're using parallel lines with one intersecting line (transversal) to give us valuable information about the angles.
First, based on the Corresponding Angles Theorem, corresponding angles, such as A and B, are congruent.
This means that angle B can also be represented by the expression 6x-19.
Furthermore, since angles B and C are on the same line, they must be supplementary, meaning that they add up to 180 degrees.
This said, we can set up an equation to solve for x because B+C=180
6x-19+3x+10=180
Combine Variables
9x+10-19=180
9x-9=180
Add 9 to both sides to isolate x
9x=189
Divide both sides by 9
x=21
This problem could have also been solved with various other theorems such as, but not limited to:
Keep in mind a prerequisite for all of these theorems except the vertical angles theorem are that it must be for a transversal cutting/intersecting 2 parallel lines.
The Alternate Exterior Angles Theorem states that alternate exterior angles are congruent (A and D)
The Alternate Interior Angles Theorem states that alternate interior angles are congruent (C and E)
The Vertical Angles Theorem states the vertical angles- angles across from each other- are congruent (B and D)
The Same Side Exterior Angle Theorem states that same side exterior angles supplementary (A and F)
The Same Side Interior Angle Theorem states that same side interior angles are supplementary (E and B)
Please let me know if you have any questions!
Help with these circle equation questions? will reward brainly
Answer:
Step-by-step explanation:
Help me with 2 please and thank you
Answer:
See below
Step-by-step explanation:
The terms that can be used to best describe the relationship between 60 degree angle and the angle labelled y degree is:
Vertically opposite angles.Equal angles.Angles equating to 60 degree.Since vertically opposite angles are equal, y° = 60°.
[tex]\rule[225]{225}{2}[/tex]
Answer:
Vertical angles
Step-by-step explanation:
The 60° angle and the angle marked y° are vertical angles. Vertical angles are equal. They are formed by two lines crossing (intersecting lines) I like to think of them like a pair of scissors, opening and closing! The angles get bigger or smaller together. The angle marked x° and the unmarked angle are another pair of vertical angles.
Graph the linear equation y=2/3x-5
Answer:
As the given equation is a linear equation, to graph it, we simply need to calculate two points on the line, plot these points, then draw a straight line through them.
Given equation:
[tex]y=\dfrac{2}{3}x-5[/tex]
Calculating two points on the line:
[tex]\textsf{when }\: x=0 \implies \dfrac{2}{3}(0)-5=-5 \implies (0,-5)[/tex]
[tex]\textsf{when }\: x=6 \implies \dfrac{2}{3}(6)-5=-1 \implies (6,-1)[/tex]
Plot these points and draw a straight line through them (attached).
Is this an expression or equation
a•b=c
Answer:
both technically, but it would be an equation, cause you can use substitute of any number in place of A and B, to find C
A heard of elk increased from 75 in 1998 to 310 in 2005. Find the annual percent of increase for this heard.
Answer:
[tex]313.3333\%[/tex]
Step-by-step explanation:
Based on given conditions, formulate:
[tex] \frac{310 - 75}{75} [/tex]
Calculate the sum:
[tex] \frac{253}{75} [/tex]
Simplify it:
[tex] \frac{47}{15} [/tex]
Convert that to a decimal:
[tex]3.133333[/tex]
Multiply that:
[tex]3.133333 \times \frac{100}{100} [/tex]
Calculate that:
[tex] \frac{3.133333 \times 100}{100} [/tex]
Convert that:
[tex]313.3333\%[/tex]
Answer This Question For 5 Pts!
Hello!
First we should figure out what 7 x 800 is.
7x800 is 5,600.
Next, start step 1.
7 x 8 is already 56, so you would multiply 1 in the box
(7x8x1)
Second, step 2.
56 x 100 is 5,600, so you would put 100 in the box.
(56x100)
Finally, step 3.
Put your total in the box
(TOTAL: 5,600)
Hope this helps!
~~~PicklePoppers~~~In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, the Q2 is?
15
17
16
13
Answer:
17
Step 1: rerrange the data
8 , 10, 12, 14, 17, 19, 19, 22, 24
Q2 is the median
see that the middle number is 17
Percy solved the equation x2 7x 12 = 12. his work is shown below. is percy correct? explain. 1. (x 3)(x 4) = 12 2. x 3 = 12 or x 4 = 12 3. x = 9 or x = 8
Percy solved the equation by expanding the expression on the left-hand side, and this is incorrect
How to determine the true solution?The equation is given as:
x^2 + 7x + 12 = 12
The first step in solving the equation is to equate the equation to 0.
i.e.
x^2 + 7x + 12 - 12 = 0
This given
x^2 + 7x = 0
From the question, Percy solved the equation by expanding the expression on the left-hand side
Hence, Percy's solution is incorrect
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Answer:
Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.
a tomato sauce company currently sells tomato sauce...
Answer:
you are so good are this so keeping up
Miguel plots points a, b, and c in the coordinate plane. what is the distance
between points a and b?
a(-3,2)
b(-6,-2)
c(0,-2)
The distance between a and b is 5 units.
What is an Equilateral Triangle?An equilateral triangle has three sides that have the same length. The triangle is defined as the plane two-dimensional figure with three sides having the sum of the three angles of 180 degrees.
Since the figure is missing in the question so I have attached the figure of the points on the graph for better understanding.
The given coordinates are as follows:-
a (-3, 2)
b (-6, -2)
c (0, -2)
Use the distance formula,[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] , to find ab.
ab = √[(−6−(−3))² + (−2−2)²]
ab = √25
ab = 5 units
Therefore the distance between A and B is 5 units.
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How is adding integers similar to adding whole numbers? How is it different?
Answer:
an integer is a whole number so adding integers is the same as adding whole numbers
whats the answer for this qusten
Answer:
The speed i total is 750 meters per second
Step-by-step explanation:
9000/12 = 750