Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = 2. It has a maximum at 5 and a minimum at negative 1. It goes through one cycle at pi. y = negative 3 sine (2 (x + pi)) + 2 y = negative 3 sine (x + pi) + 2 y = 3 sine (4 (x minus pi)) + 4 y = 3 sine (2 (x + pi)) + 2
Answers
Answer:
b
Step-by-step explanation:
We want to find a sine function such that:
it has a y-intercept equal to 2.it has a maximum of at 5, and a minimum at -1.it goes through one cycle at pi.The given options are:
y = -3*sin(2*(x + pi)) + 2 y = -3*sin(x + pi) + 2 y = 3*sin(4*(x - pi)) + 4 y = 3*sin(2*(x + pi)) + 2Notice that the first information that we have, implies that y must be equal to 2 when x = 0.
Knowing that we can discard the third option which has a y-intercept of 4.
Now the second. Remember that for a general function:
y = A*sin(k*x) + M
Where A is the amplitude and M is the midline, the maximum and minimum are given by:
A + M
-A + M
In all the remaining options we have:
A = ± 3
M = 2
We can see that with these we get the maximum and minimum of 5 and -1.
Finally, we know that it goes through one cycle at pi.
This means that if f(x) is the function, then:
f(x) = f(x + pi)
Also remember that for a general sine function, we have:
sin(x) = sin(x + 2*pi)
Ok, now let's analyze the options (only the sine part)
1) sin(2*(x + pi)) = sin( 2*x + 2*pi) = sin(2*x)
if we evaluate this in x + pi, we will get:
sin(2*( x + pi + pi)) = sin(2*(x + 2*pi)) = sin( 2*x + 4*pi) = sin(2*x)
So yes, option 1 is a correct option (you also can see that option 4 has the exact same sine part, so that option is also correct.)
2) for the second option the sine part is:
sin(x + pi)
if we evaluate this in x + pi we get:
sin(x + pi + pi) = sin(x + 2*pi) = sin(x)
and we have:
sin(x +pi) ≠ sin(x)
Then this function does not go through one cycle at pi.
We can conclude that the two options that meet all the conditions are the first one and fourth one:
1) y = -3*sin(2*(x + pi)) + 2
4) y = 3*sin(2*(x + pi)) + 2
We can't say which one is correct if we do not look at the graph.
If the function starts increasing, then (2) is the correct one, if the graph starts decreasing, then (1) is the correct one.
Below, you can see a graph of both functions:
The green one is y = 3*sin(2*(x + pi)) + 2, the blue one is y = -3*sin(2*(x + pi)) + 2
If you want to learn more, you can read:
https://brainly.com/question/14068845
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What is the volume of the right cone below?
Answers
Answer:
The answer is A.
Step-by-step explanation:
You have to use the formula of volume of cone,
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :
Let r = 5 units,
Let h = 45 units,
[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]
[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]
[tex]v = 375\pi \: \: {units}^{3} [/tex]
Answer:
[tex]375\pi \: \: units ^{3} [/tex]
Answer A is correct.Step-by-step explanation:
[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]
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ASAP WILL MARK BRAINLIEST!!!
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Answer:
I believe it is 5
Step-by-step explanation:
by counting all sides
Answer:
5
Step-by-step explanation:
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Answers
Look at the attached picture
Hope it will help you....
Good luck on your assignment
Answer:
for number one the it is c
Step-by-step explanation:
(6-3)^2
3^2=9
because 3 times 3 equal to 9
it just like saying what is the answer when you multiply the number by its self
14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children? Write your answer as a fraction and a decimal rounded to the nearest hundredth.
Answers
Answer: 0.34
Step-by-step explanation:
From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.
If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions
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If a cube has a volume of 27mm3,
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Answers
Answer:
Step-by-step explanation:
Answer:
9mm
Step-by-step explanation:
since volume is l x w x h, you have to divide 27 by 3. you can do this because it is a cube
help pls!!!!!!!!!!!!
Answers
Answer:
w=9z
Step-by-step explanation:
For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!
Answer:
z = (1/9) w or w = 9z
Step-by-step explanation:
w = 18 , z = 2
if relationship is proportional than z = k (constant) *w
2 = k * 18 divide each side by 18
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Answers
Answer:
I’m just copying his answer which is 3
Step-by-step explanation:
at least I tried
Answer: 3
Step-by-step explanation:
37.5 (3.8-x) + 90x = 300
First, you have to simplify, by using the Distributive Property.
142.5 - 37.5x + 90x = 300
Now, add the like terms
142.5+ 52.5x = 300
Now, isolate the variable, meaning the variable has to be on one side on its own. You would have to subtract 142.5 and move it to the other side
52.5x = 300 - 142.5
52.5x = 157.5
Then, you divide!
[tex]\frac{52.5x}{52.5x}[/tex] = [tex]\frac{157.5}{52.5x}[/tex]
= 3
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Answers
Answer:
(B)
Step-by-step explanation:
The value of 9 is more than the value than 4.
Therefore,
9 > 4.
4 is not greater than 9, and nine is not less than four.
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Answers
Answer:
x =20
Step-by-step explanation:
6% of x = 1.2
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Divide each side by .06
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Answers
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Step-by-step explanation:
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Below is image
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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8a + 86
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Answer:
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Step-by-step explanation:
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Answers
The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries 54, 81, 135. the third column is labeled average household age 40 or older with entries 23, 92, 115. the fourth column is labeled total with entries 77, 173, 250. Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries W, Y, 0.54. The third column is labeled average household age 40 or older with entries X, Z, 0.46. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which value should she use for X? Round to the nearest hundredth. 0.09 0.20 0.25 0.30
Answers
Answer:
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Mark as brainliest please, I need a few more :)
Answer:
.30
Step-by-step explanation:
< 40 > 40 total
internet 54 23 77
cable 81 92 173
total 135 115 250
< 40 > 40 total
internet w x 1
cable y z 1
total .54 .46 1
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Answers
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Step-by-step explanation:
Multiply the area of the trapezoid face by the length .
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Answer:
140 m^3
Step-by-step explanation:
This is a prism with a trapezoid base.
The volume if a prism is
V = (area of base) * height
The base is the trapezoid in the front face. The height is the distance between bases which is 7 m.
area of trapezoid = (b1 + b2)h/2
In the area of the trapezoid, h is the height of the trapezoid which is the distance between parallel bases. It is 4 m in this case.
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Answer:
16x and 2x have like terms
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Answers
Answer:
39375
Step-by-step explanation:
All you have to do is just multiply the length x width x height.
Answer:
Find a rectangular prism in your house exactly the same as this one,them you'll know the answer
Solve the system of equations.
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Answers
x=2y
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Answers
Answer:
Domain: x = all reals
Range: y is less than or equal to -4
Pls someone I need help
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Answer:
B. Dan walked uphill, then downhill.
Step-by-step explanation:
The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!
Evaluate.
4+ (3+5)*3 =
Answers
Answer: 28
Step-by-step explanation: Follwing PEMDAS, add the 3 and 5 in the parentheses first. You get 8, then multiply by 3, which gives you 24. Add 4 to 24 and it will give you 28.
Answer:
If i'm not mistaken, using PEMDAS which is parenheses, exponents, multiplication, division, adding and subtracting, the answer will be 28.
Step-by-step explanation:
3+5=8
8 * 3= 24
24 + 4= 28
-1 3/7 • (-3 2/5)
Find the product simplify if possible
Answers
Answer:
6 4/5
Step-by-step explanation:
-1 3/7 • (-3 2/5)
Let's turn them both into fractions with no whole numbers to make this easier:
-10/7 • -17/5
Now we can multiply straight across much easier!
170/35 (the negatives canceled each other out)
34/5 (simplified)
6 4/5 (answer)
Hope this helps! Please mark Brainliest :)
A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....
Answers
Answer:
0.5 inch on the drawing
Step-by-step explanation:
The following information is missing:
The scale factor of the drawing to the actual flag is represented by the ratio 1:18.
This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:
1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag
x = 9/18 = 0.5 inch on the drawing
