The function whose graph matches this one y= 4 sin (π/7 x) - 2
As, The general form of a sine function is
y= A sin (kx) + C........(1)
From the given graph the maximum value of the function is 2 and minimum value of the function is -6.
So, Amplitude= (Max- Min)/2
A = (2- (-6))/2
A= 8/2
Amplitude= 4
Now, The function complete a cycle in 14 units, so period of the function is 14.
2π/k= 14
k = π/7
and, Midline= (Min + Max)/2 = (2-6)/2 = -2
So, the function is
y= A sin (kx) + C.
y= 4 sin (π/7 x) - 2
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Nina earns $60 for 5 hours of shoveling snow.
Complete each statement if Nina keeps earning her money at this same rate.
CLEAR CHECK
For 6.5 hours of shoveling snow, Nina will earn $
.
Nina will need to shovel snow for
hours to earn $36
For shoveling snow for 6.5 hours, Nina will earn $ 78 and to earn $ 36, Nina need to shovel for 3 hours.
Given that:-
Nina earns $60 for 5 hours of shoveling snow.
We have to find the amount Nina will earn for shoveling snow for 6.5 hours and the number of hours she needs to work for $36.
Amount of money Nina gets per hour = 60/12 = $ 5.
Amount of money Nina gets after working for 6.5 hours = 6.5*12 = $ 78.
Number of hours Nina need to work to earn $ 36 = 36/12 = 3 hours.
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When Emily woke up, the temperature was 8°F. By noon, the temperature had risen by 3°F. It rose another 6°F in the afternoon to reach the day’s high temperature. By the time Emily went to bed, the temperature had dropped 21°F from the high temperature. What was the temperature when Emily went to bed?
Answer:
The temperature when Emily went to bed was -4°F.
Step-by-step explanation:
8°F + 3°F = 11°F (noon)
The temperature had risen by 3°F by noon. This means to add 3.
noon + 6°F = the day's high temperature
11°F + 6°F = 17°F (the day's high temperature)
The temperature rose another 6°F in the afternoon. This means add 6 to the temperature from noon.
high temperature - 21°F = temperature at bed
17°F - 21°F = -4°F
The temperature dropped by 21°F when Emily went to bed. This means to subtract 21 from the day's high temperature.
Risen, rose, and increase mean addition.
Decrease, dropped, and decline mean subtraction.
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3. A newspaper reporter wants to know how popular the hobby of bird watching is in the city. He asked people at the local bird refuge if they watched birds as a hobby. Which of the following best explains whether the reporter's data is valid or not?
A. The data is valid for the entire city because the bird refuge is located in the city.
B. The data is not valid for the entire city because people can have more than one hobby.
C. The data is not valid for the entire city because bird watchers
are more likely to visit a bird refuge.
D. The data is valid for the entire city because a bird refuge is a good place to find people who like to watch birds.
Answer:
try c
Step-by-step explanation:
i dont know
Find f(-2) for the
piece-wise function.
f(x) =
X
|x+
x+1
if x ≤ 0
if x > 0
f(-2)=[?]
Answer:
The answer is,
f(-2) = -2
Step-by-step explanation:
Since -2 < 0, and f(x) = x for x < 0,
so we get,
f(-2) = -2
The cost of rent in a instrument is 65$ for the first month, it cost $30 for each additional month x that the instrument is rented which expression
Represents the total cost of renting an instrument
Answer:
Step-by-step explanation:
it is C because 65 is a one Time thing and 30x means every month u rent it times the money.
For the given data, construct a frequency distribution and frequency histogram of the data using five classes. Describe the shape of the histogram as symmetric, uniform, skewed left, or skewed right. Data set: ages of 20 cars randomly selected in a student parking lot 12 6 4 9 11 1 7 8 98 9 13 5 15 7 6 8 8 21 A. skewed right B. uniform C. symmetric D. skewed left
To construct a frequency distribution and frequency histogram of the data using five classes, we first need to determine the range of the data and the class interval.
The range is the difference between the highest and lowest values in the data set, in this case, 98 - 1 = 97.
We can divide the range by the number of classes to determine the class interval. In this case, 97/5 = 19.4.
We will round up to 20 to have easily divisible numbers.
The class intervals with the frequency would be:
1-20: 3
21-40: 2
41-60: 0
61-80: 3
81-100: 2
Next, we need to create a frequency histogram by plotting the class intervals on the x-axis and the frequencies on the y-axis, and then drawing a bar for each class interval representing the frequency.
The histogram will be skewed right. A histogram is skewed right when the tail of the histogram extends farther to the right than the left. In this case, the majority of the data falls in the lower class intervals, but there are a few outliers on the higher end, which extends the histogram to the right.
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Look the model.
Jimmy begins at the house. He walks to the horse barn. Then he walks 3 units up and 4 units right before returning back to the house.
(1,1) - At the house
(1,3) - At the horse barn
(5,6) - At the Storage barn
these are the orders pairs
3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answer:
O a=0
Step-by-step explanation:
a is an exact location in space with no length or width
Answer:
the answer is a point
Step-by-step explanation:
Which graph displays points that correspond to the x and y values in the table?
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
Set up equations and solve them to find the unknown numbers in the following cases:
1. Agatha thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.
Answer:
the answer is 21
Step-by-step explanation:
the number she thinks of is 21 add 21 + 19 to get 40.
divide 40 by 5 to get 8.
pls simplify: \(\frac{sin^{2}(\frac{\pi }{2}-x) }{csc^{2}x-1 }\)
The simplified expression for sin²(π/2 - x ) / (csc²x - 1) is cos²x / (cot²x - 1).
What is the simplification of the expression?A simplified version of the expression is determined as follows;
sin²(π/2 - x ) / (csc²x - 1) = cos²x / (cot²x - 1)
We can use trigonometric identities to simplify the expression.
First, we use the identity sin(π/2 - x) = cos(x) to rewrite the numerator as cos²x.
Then, we use the identity csc²x - 1 = cot²x to rewrite the denominator.
Putting these together, we get cos²x / (cot²x - 1) as the simplified expression.
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Which of the following best describe this graph?
skewed left
skewed right
uniform distribution
center near 5
center near 7
data spread from 3 to 9
does not have an outlier
The term that best describe this graph attached is
does not have an outlier
What is outlier?An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.
Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.
The graph is not exactly uniform even though it is not skewed
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3) Last year the Alpha company had profits of $380 million. This year they project to earnprofits of $429,4 million. What is the percen4 increase between the two periods?
Use the next formula to find the percent of increrase:
\(Percentaje\text{ increrase=100}\cdot(\frac{final-initial}{\text{initial}})\)Initial 380 million
Final 429.4 million
\(\text{Percentaje increase=100}\cdot(\frac{429.4-380}{380})=100\cdot(\frac{49.4}{380})=100\cdot0.13=13\)Then, the percentaje of increase is 13%
Which expression represents the
number of reams of paper the company
produced during the second year?
The expression that represents the number of reams of paper the company produced during the second year is 4.704 × 10¹⁰. The correct option is D. 4.704 × 10¹⁰
Writing an ExpressionFrom the question, we are to determine the expression that represents the number of reams of paper the company produced during the second year
From the given information,
During the first year of operation,
The company produced 8.4 × 10⁹ reams of paper
And
During the second year,
the company produced 5.6 times the number of reams of paper that it produced during the first year.
Thus,
The number of reams of paper the company produced during the second year = 5.6 × 8.4 × 10⁹ reams of paper
The number of reams of paper the company produced during the second year = 47.04 × 10⁹ reams of paper
= 4.704 × 10¹ × 10⁹ reams of paper
= 4.704 × 10¹⁰ reams of paper
Hence, the expression that represents the number of reams of paper the company produced during the second year is 4.704 × 10¹⁰. The correct option is D. 4.704 × 10¹⁰
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help!!!
For which points is the x-coordinate less than 3?
Answer:
C and D.
Step-by-step explanation:
C is ( 1 , 1 ) and D is ( -2.5 , -1.5 )
327.8 in scientific notation
Answer:
3.278 * 10 ^ 2
Step-by-step explanation:
To change a number to scientific notation you:
Move the decimal point to the left to make the number have 1 number before the decimal point.
From there you multiply by 10 to the power 2 the number of decimal points you moved.
So the answer is 3.278 * 10^2
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Find perimeter of CBD
Answer:
24.9
Step-by-step explanation:
Ashley's purchasing school uniforms for children if the cost of the uniforms is $136.50 if there is 8% sale tax in the community how much sales tax in dollars will she pay?
Answer:
10.92
Step-by-step explanation:
136.5*(8/100)that is tax
Answer:10.92
Step-by-step explanation:
Please help . I’ll mark you as brainliest if correct!
Answer:
the answers are correct what do you need help with?
Step-by-step explanation:
An artist can create 4 pieces of pottery in 2 hours. What’s the artist’s unit rate?
how many 2/3 are in 6.
Answer:
Uh i think 3?
Step-by-step explanation:
well 2 x 3 is 6, so if i had to assume i think 3, the whole number is 2 though
Answer:
9
Step-by-step explanation:
6/(2/3)= 6*3/2=18/2=9
Suppose you have 11 tubes of paint. How many distinct color groupings can you make with your paint?
The number of distinct color groupings is given as follows:
39,916,800.
What is the arrangements formula?The number of possible arrangements of n elements(order n elements) is given by the factorial of n, that is:
\(A_n = n!\)
For this problem, we have that there are 11 tubes of paint, hence the parameter n is given as follows:
n = 11.
Meaning that the number of distinct color groupings is given as follows:
n = 11! = 1139,916,800.
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2/3 of the students in Mrs. Gracie’s class are boys . If there are 27 students in the class, how many of them are girls?
Answer:
9
Step-by-step explanation:
divide 27 by 3
It equals 9
9 x 2 = 18 boys
27-18= 9 girls
PLZ HELP FAST GIVING 50 points and brainliest
Answer:-0.253624
Step-by-step explanation:
Answer:
0.253624
Step-by-step explanation:
How many square feet of outdoor carpet will we need for this hole
1,1,2,-1,1,-2,-1 find the next number in the sequence
Answer:
The next number in the sequence is -2.
Here's how to find it:
- Start with the first two numbers: 1 and 1.
- Add them together to get 2.
- The third number in the sequence is 2.
- Add the second and third numbers together to get 1.
- The fourth number in the sequence is 1.
- Subtract the third and fourth numbers to get -3.
- The fifth number in the sequence is -3.
- Add the fourth and fifth numbers to get -2.
- The sixth number in the sequence is -2.
- Subtract the fifth and sixth numbers to get -1.
- The seventh number in the sequence is -1.
- Add the sixth and seventh numbers to get -3.
- The eighth number in the sequence is -3.
- Subtract the seventh and eighth numbers to get 2.
- The ninth number in the sequence is 2.
- Add the eighth and ninth numbers to get -1.
- The tenth number in the sequence is -1.
- Subtract the ninth and tenth numbers to get -3.
- The eleventh number in the sequence is -3.
- Add the tenth and eleventh numbers to get -4.
- Therefore, the next number in the sequence is -4.
Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
X=24
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
O A. No, because 52 + 32 + 122.
OB. No, because 5+ 8 + 12.
C. Yes, because 52 + 82 = 122.
O D. Yes, because 52 + 82 < 122
Answer:
A) No...
Step-by-step explanation:
We can check if this triangle is a right triangle by using the Pythagorean Theorem.
a² + b² = c² where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:
5² + 8² = 12²Simplify.
25 + 64 = 144 89 = 144We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.
Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.
This leaves us with answer choice A. 52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)
I need help on this question and how to solve and get the answer thank you if anyone helps me
Answer:
its 4
Step-by-step explanation: