The general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].
What is a function?A function is a rule that relates two variables.
The parent function is:
[tex]f(x)=cosx[/tex]
We know the period of the parent function is 2π and the amplitude is 1.
For an amplitude of 3, we need to multiply the parent function by 3.
So, the function with amplitude 3 will be given by:
[tex]f(x) =3cosx[/tex]
For a period of 4π, we need to make the argument of the parent function half.
So, [tex]f(x) = 3cos(0.5x)[/tex]
A horizontal shift of negative π means, f(x) will become f(x+π)
So, [tex]f(x) =3cos(0.5x+\pi )[/tex].
Therefore, the general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].
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Answer:
Option C. y + 3cos (0.5(x+ pi))
:)
A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.
What is the length of each side of the garden?
3 meters
6 meters
9 meters
27 meters
Answer: 9 meters
Step-by-step explanation:
Let's list what we know
The garden is in the shape of a triangle
The perimeter of the garden is 27 meters
Each side is the same length
The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides
Since all the sides are the same length we can divide 27 by 3 to find the length of each side
27/3=9
Please help im confused.
Answer:
The first choice is the answer.
Step-by-step explanation:
Which is an equivalent fraction for
?
A
12\frac{1}{2}
2
1
B
26\frac{2}{6}
6
2
C
46\frac{4}{6}
6
4
D
32\frac{3}{2}
2
3
Answer:
I believe the answer is C
Step-by-step explanation:
A shoebox has a length of 1 1/4 feet, a width of 1 foot, and a height of 1/2 foot cubes that measure 1/4 foot on each side are packed into the shoebox. how many of these cubes will fit inside the shoebox
The number of cubes that will fit into the shoebox is 40 cubes
How to calculate the volume of a boxVolume is the measure of a substance an object contains
Volume of the box = length * width * height
Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit
Determine the volume of the box
Volume of the box = l³
Volume of the box = (1/4)³ = 1/64 cubic units
Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes
Hence the number of cubes that will fit into the shoebox is 40 cubes
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Please help me on this
Answer:
[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]
[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]
Variables A basic cheese pizza is $6.50 and each additional topping cost $1.50 write the right and paragraphs equation and two variables that represent a total of cost of a single pizza
Answer:
i don't really know but I love pizza
tthx for the help can you answer this question
Answer:
A = 41
B = 31
Step-by-step explanation:
angles in a triangle add up to 180 degrees
the three angles in this triangle: 108, x+5, x-5
added up, we get
108 + (x+5) + (x - 5) = 180
= 108 + 2x + 5 - 5
= 108 + 2x
subtract 108 from both sides to isolate the variable and its coefficient
72 = 2x
divide both sides by 2 to solve for x
x = 36
A = x + 5 = 36 + 5 = 41
B = x - 5 = 36 - 5 = 31
PLS help im going insane
Answer:
B) 240
Step-by-step explanation:
If you want an explanation, just ask.
Hope this helps! Pls give brainliest!
Lashonda reads a book at a rate of 12 chapters per hour. How many chapters does she read in 3 hours?
Answer:
12×3=36
Step-by-step explanation:
hope ththis helped :))
please help!!!! thanks
helppppp
helpppppp helppp
Answer:
intersect at (-1,-3)
Step-by-step explanation:
y = 4x + 1. the points should be at (0,1) and (-0.25,0) and is an infinite line in both directions.
y = -2x - 5. the points should be at (-2.5,0) and (0,-5) and is an infinite line in both directions.
both the lines meet at (-1,-3) so make a point at that location
Find the area of triangle
So we see one large triangle, that can be split into two triangles split by the thin dotted line:
the First triangle --> has a hypotenuse of 26 and a leg of 11the Second triangle --> has a hypotenuse of 42Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem
[tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]
Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle
[tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]
Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:
--> 34.77 + 11 = 45.77
The height as found in the first initial step is 23.56 thus the area is
Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]
Hope that helps!
What is the factorization of the following trinomial? 15x2 - 44x - 36
(3 x - 4) (5 x + 9)
(5 x - 9)(3 x +4)
(5 x -18) (3 x + 2)
(5 x + 18 ) (3 x - 2 )
Is .26 greater than or less than 20/75
Answer:
20/75 is lesser than 26
Step-by-step explanation:
Hope this helps U
Answer:
Less than
Step-by-step explanation:
Simply convert 20/75 and compare the two:
0.26 O .266666666666666666666666
0.26 < .2666666666666666666666666
Therefore, 0.26 is less than 20/75
PLEASE HELP!!!
NO LINKS!!!!
7. A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square
centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic
centimeter?
8. The volume of a sphere is 2,000pim^3. What is the surface area of the sphere to the nearest square meter?
9. The volumes of two similar solids are 1408 m^3 and 594m^3. The surface area of the smaller solid is 549m^2. What is the surface area of the larger solid?
10. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14cm?
Answer:
im lost only because you made this so long
Step-by-step explanation:
No chi-square The principal in Exercise 7 also
asked the random sample of students to record
whether they did all of the homework that was
assigned on each of the five school days that week.
Here are the data:
Monday Tuesday Wednesday Thursday Friday
School day
Number who did
all homework
34
29
32
28
19
Explain carefully why it would not be appropriate
to perform a chi-square test for goodness of fit using
these data.
oh
The random sample of the students is an illustration of sampling
The chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.
How to determine the reason chi square is not appropriate?The dataset is given as:
Monday 34
Tuesday 29
Wednesday 32
Thursday 28
Friday 19
The variable of the above dataset is a not a categorical dataset.
One of the conditions of the chi-square test for goodness of fit test is that the variable under study must be categorical.
Hence, the chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.
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Scale word problem
Someone please help!!
Answer:
60.6 cm length
43.2 cm width
Step-by-step explanation:
The scale is 1 m = 6 cm
Take the length in meters, multiply it by 6, and change the unit to cm.
10.1 m becomes 10.1 × 6 cm = 60.6 cm
7.2 m becomes 7.2 × 6 cm = 43.2 cm
Can someone please help me with this if you can thank you!
Answer:
38.69
Step-by-step explanation:
=$38.69411765
=$38.69 (to the nearest cent)
(100/85) \$32.
After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. Part A. How much is the tax?
Answer:
$3.40
Step-by-step explanation:
Look at image above...
IMAGE BELOW I WIL GIVE BRANLIEST
Answer:
The scale factor is 2.
Step-by-step explanation:
From the coordiante plane, we can see that:
Point H(4) has been expanded to 4 {4 · 2 = 8}
Point G(1) has been expanded to 2 {1 · 2 = 2}
Point I(-2) has been expanded to -4 {-2 · 2 = -4}
hope this helps!
In Juneau, Alaska, the 30-year annual snowfall average is 86. 7 inches with a standard deviation of 40. 4 inches. The last four years saw an average annual snowfall of 115. 7 inches, 62. 9 inches, 168. 5 inches, and 135. 7 inches. Hia performs a hypothesis test on this data to determine if the next 30-year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5%. Which of the following is a conclusion that she may make? The z-statistic is 1. 44, so the null hypothesis cannot be rejected. The z-statistic is 1. 68, so the null hypothesis cannot be rejected. The z-statistic is 1. 85, so the null hypothesis should be rejected. The z-statistic is 4. 6, so the null hypothesis should be rejected.
The z-statistic is 1. 68, so the null hypothesis cannot be rejected.
What is null hypothesis?The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches.
To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.
Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.
Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.
To compute for the z-score,
we have z-score = (x – μ) / (σ / √n)
where x is the computed/measured value,
μ is the expected mean, σ is the standard deviation,
and n is the number of samples.
Using the information we have,
z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68
In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.
Hence The z-statistic is 1. 68, so the null hypothesis cannot be rejected.
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Answer:
B. The z-statistic is 1.68, so the null hypothesis cannot be rejected.
Step-by-step explanation:
edg 22, got 100 on unit test
A software store has put some of its inventory on sale. games are marked down by 15%, and security programs are marked down by 18%. if you pay $35.70 each for two games and $22.96 for a security program, how much have you saved? a. $17.64 b. $14.84 c. $12.24 d. $11.34
The amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.
What is the discount?A discount refers to an amount deducted from the normal selling price of an object.
Let x be the original price of one game and y be the original price of one security program.
Given pay $35.70 each for two games and $22.96 for a security program.
The total pay with discount
$35.70 + $22.96 = $58.66
Also, 100% - 15% = 85%
100% - 18% = 82%
here, we have
0.85 (2x) = 35.70
1.70x = 35.70
x = $21
0.82 y = 22.96
y = $28
the total pay without discount
2x + y = 2 (21) + 28
= $70
The amount saved is 70 - 58.66 = 11.34
Therefore, the amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.
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Answer:
d. $11.34
Step-by-step explanation:
. In Problem 2, how many lateral faces would there be if the base had
two sides of length 3 tnches and four sides of length 2 inches? Explain.
The number of lateral faces for a hexagonal prism or pyramid is 6.
What is a prism?A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.
Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.
The number of lateral faces for a hexagonal prism or pyramid is 6.
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Find the diameter of a circle with area 28.3 yd2
Answer:
6.002722642yd
Step-by-step explanation:
Area to Radius:
Area of a circle = (pi)r(squared)
28.3= pi x r2
28.3/pi = r2
9.0081...=r2
square root of 9.0081...= radius
radius= 3.001361321yd*
Radius to Diameter:
diameter = radius x 2
d = 3.001361321* x 2
d = 6.002722642yd*
*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!
Hope this helped :)
i need help
will give 30 points
Answer:
Step-by-step explanation:
solve pls brainliest
Answer:
5/6
Step-by-step explanation:
11/12 - 1/12 = 10/12
10 divided by 2 = 5
12 divided by 2 = 6
5/6
Answer:
⅚
Step-by-step explanation:
¹¹/12 - ¹/12 = ¹⁰/12
÷2 →
5/6
PLEASE HELP ME I CANT GET IT RIGHT
Answer:
Area=½b×h
Area =½×20×8=80m²
=80m²hope it helps!
solve for x and round please
Answer:
9.6
Step-by-step explanation:
6.4/x = sin42
x = 6.4/sin42
x = 9.56
Answer it and you get points
Answer:
79 (first blank)
131 (second blank)
157 (last blank)
Step-by-step explanation:
92-13 to get the first blank, and you get 79.
118+13 to get the second blank, and you get 131.
144+13 to get the last blank and you get 157.
----------------------------------------------------------------------------------------------------------
Check your work:
79+13=92
92+13=105
105+13=118
118+13=131
131+13=144
144+13=157
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
Step-by-step explanation:
89 131 157 this is the answer
Jacob and his father measured the lengths of scrap wood in their yard. Make a line plot of their data.
The line plot is used to show the lengths of the scrap woods using check marks above the line
How to draw the line plotFrom the question, we have the following frequency table
Lengths Frequency
[tex]4\frac 18[/tex] 2
[tex]4\frac 14[/tex] 3
[tex]4\frac 38[/tex] 1
[tex]4\frac 12[/tex] 6
[tex]4\frac 58\\[/tex] 1
[tex]4\frac 34[/tex] 2
[tex]4\frac 78[/tex] 2
[tex]5[/tex] 1
Next, we plot the number line.
Such that the lengths of the scrap woods are on the x-axis while their frequencies are on the y-axis
See attachment for the line plot
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Answer:
Step-by-step explanation: