Amplitude and period of y = 1 + cos 0 are amplitude: = 1 and period: 2π respectively.
The cosine function cosx is one of the basic functions encountered in trigonometry
y = 1 + cos 0
Rewrite the expression as
−cos(x)+1.
Use the form
acos(bx−c)+d
To find the variables used to find the amplitude, period, phase shift, and vertical shift.
a =-1
b =1 = d
c=0
Find the amplitude
Let
Amplitude: = 1
Phase Shift: = 0
List the properties of the trigonometric function.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: 1
So the amplitude and period of the equation y = 1 + cos 0 are 1 and 2 correspondingly.
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The amplitude and period of the equation y = 1 + cos 0 are 1 and 2 correspondingly.
The cosine formula One of the fundamental trigonometry functions is cosx.
y = 1 + cos 0
Change the wording to
−cos(x)+1.
Apply the form
acos(bx−c)+d
to identify the parameters used to calculate the vertical shift, phase shift, amplitude, and period.
a =-1
b =1 = d
c=0
Measure the amplitude.
Let
Amplification: 1
0 for phase shift
Describe the trigonometric function's characteristics.
1 amplitude
Duration: 2
No phase shift
Shift Vertically: 1
As a result, y = 1 + cos 0 has an amplitude and period of 1 and 2, respectively.
John bought a gym membership for $20 each month.
He pays an additional $4 each time he attends a class
with a trainer. Last month, he spent $76 total. How
many classes did he attend with the trainer?
8 classes
19 classes
16 classes
12 classes
14 classes
Answer: 14 classes
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
76=4x+20
Step 2: Flip the equation.
4x+20=76
Step 3: Subtract 20 from both sides.
4x+20−20=76−20
4x=56
Step 4: Divide both sides by 4.
4x
4
=
56
4
x=14
5,323 ÷ 34
I need answers asap
Answer: 156.55882352941176470588235294118
Or 156.56 rounded to the nearest hundredth!
Hope this helps!
Answer: 156.558823529
Step-by-step explanation: You divide for example, 5,323 cookies to 34 people
Liam tracked number of customers who entered his store each minute for an hour.
The histogram below shows the distribution of number of arrivals for a total of 60 minutes.
Describe the distribution of the arrivals.
The distribution of the arrivals based on the histogram from Liam's information can be described as being Right-Skewed.
Why is the distribution right skewed?A distribution is said to be right-skewed when its tail is to the positive direction of the number line which is the case here as the tail points towards the increasing part of the number line.
The mode would also be in the left of the mean which is the case here with the mode of 13 being less than the mean.
In conclusion, the distribution is right-skewed.
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Mr Moon bought a coffee and a sandwich every day for 100 days
from his local shop. In total, he spent £783.68. How much is one
coffee and sandwich? Round your answer to 2 decimal places.
Answer:
7.84
Step-by-step explanation:
783.68
[tex]783.63 \div 100 = 7.8363[/tex]
Approx to 7. 84
Which equations have the same solution as the equation 4y - 3 = -2y + 1?
Choose all that apply.
A. 2y-3=1
B. 4y = -2y + 4
C. -3=-6y +1
D8y-3=-4y + 1
E. 8y-6=-4y+2
Answer:
B and C
Step-by-step explanation:
B = 4y - 3 + 3 = -2y + 1 + 3
= 4y = -2y + 4
C = 4y - 3 -4y = -2y + 1 -4y
= 3 = -6y +1
A pail holds 634 gallons of water. How much is this in cups?
Answer: 10,144 cups
Step-by-step explanation:
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u=1.4 kg and a standard deviation of a = 4.6 kg. Complete
parts (a) through (c) below.
Save
a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year.
The probability is
(Round to four decimal places as needed.)
By using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547
What is normal distribution?
A probability distribution known as a "normal distribution" is symmetric about the mean and indicates that data that are close to the mean are more likely to occur than data that are far from the mean.
Given that:
μ= 1.4
σ=4.6
We know the formula of normal distribution is z = (x-μ)/σ
[tex]P(0 < x < 3)=P(x < 3)-P(x < 0)[/tex]
For [tex]P(x < 3)[/tex]
[tex]z=\frac{3-1.4}{4.6} \\z=0.35[/tex]
By using the z-table [tex]P(x < 3)=0.6368[/tex]
For [tex]P(x < 0)[/tex]
[tex]z=\frac{0-1.4}{4.6}\\z=-0.30[/tex]
By using the z-table [tex]P(x < 0)=0.3821[/tex]
Substituting [tex]P(x < 3)[/tex] and [tex]P(x < 0)[/tex] in [tex]P(0 < x < 3)[/tex]
we get,
[tex]P(0 < x < 3)=0.6368-0.3821\\P(0 < x < 3)=0.2547[/tex]
Therefore, by using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547
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When Rahul moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 32 inches tall and Tree B was 20 inches tall. Each year thereafter, Tree A grew by 6 inches per year and Tree B grew by 9 inches per year. Let AA represent the height of Tree A tt years after being planted and let BB represent the height of Tree B tt years after being planted. Write an equation for each situation, in terms of t,t, and determine the number of years after the trees were planted when both trees have an equal height.
A= B=
Answer:
The equation to represent the growth of the trees is given by
AA=32+6t and BB=20+9t and both the trees will be of equal height after 3 years.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Equation is defined as the quality of being equal and is frequently represented by a mathematical statement with equal values on either side or by a problem requiring consideration of a number of factors.
Given that tree A is 32 inches tall and tree B is 20 inches tall.
Tree A grows 6 inches per year.
Length of the tree A after t years = 32 + 6t
Tree B grows 9 inches per year
Length of the tree B after t years = 20 + 9t
Now let us consider that both trees grows equal after a certain period of time.
If we equate both the expressions then we can form an equation to calculate the value of t.
∴ 32+6t = 20+9t
or, 6t - 9t = 20 - 32
or, -3t = -12
or, t = 4 years
The trees will be of equal length after 4 years.
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7[4^2-6|5+(2^3-18)+16/8|]
Determine d in the equation.
12.6 = −1.8 − 4d
A. d = 2.7
B. d = −2.7
C. d = 3.6
D. d = −3.6
Answer:
D. d= -3.6
Step-by-step explanation:
12.6= -1.8 -4d
Add the negative 1.8 to the left side and then divide by -4
Simplify
18/4 -36x/4
Please help me asap thanks
x = 1/2 is the simplify answer of linear equation .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.18/4 - 36x/4 = 0
18 - 36x / 4 = 0
18 - 36x = 0
18 = 36x
x = 18/36
x = 1/2
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SOMEONE HELP ME PLS!
Answer:
are u sure this is the question ⁉️
Answer:
x=10 or 4
Step-by-step explanation:
square root of x-7²=x-7
x=3+7 or -3+7=10 or4
K
Assume that adults have IQ scores that are normally distributed with a mear
top 75%. (Hint: Draw a graph.)
The first quartile is
(Type an integer or decimal rounded to one decimal place as needed.)
am from India . Hi .
Please subscribe Stone Gamer
What are the specs of your pc
Enter the prime factorization of 240. Use exponents for repeated factors. Be sure to use the between different factors. For example, the prime factorization for 12 can be entered as 2 ^ 2 * 3 or 3 * 2 ^ 2
Answer: 240=2⁴*3*5
240=2*2*2*2*3*5
240=2⁴*3*5
5÷540 long divison with a grid
Answer:
0.00925925925.Step-by-step explanation:
I really don't have explanation on this.
Why, because it's too hard to explain.
Kassim has a water barrel in his garden. The water barrel is full and Kassim wants to know how much water is in the barrel. The barrel is a cylinder which is 1.1m high and has a diameter of 70cm. Give your answer in cm3 to three decimal places. Use 3.14 as an approximate to [tex]\pi \pi[/tex]
The amount of water in the barrel is 423,115 cm³.
How much water is in the barrel?A cylinder is a three-dimensional object. It is a prism with a circular base. In order to determine the amount of water in the barrel, the volume of the barrel has to be determined.
Volume of a cylinder = nr^2h
Where:
n = 3.14
r = radius = diameter / 2 = 70 / 2 = 35cm
h = height = 1.1m
100cm = 1 meter
1.1 x 100 = 110 cm
Volume of a cylinder = 3.14 x 35² x 110 = 423,115 cm³
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Pls help I’ll brainlest and add extra points
Answer:
Step-by-step explanation:
b. 3^5
c. 2^7
d. xy^7
e. 64xy^5
(2x-22)+(5x-8)=180
what is x
Answer:
x =30
Step-by-step explanation:
2x-22+5x-8=180 (st. line)
7x-30=180
7x=210
x=210/7
x=30
45 is what percent of 180?
Answer:
It is 25% percent......
Answer:
Step-by-step explanation:
45 / 180 = 0.25
25%
Question: Describe a real-world situation where the function that models the situation is neither discrete or continuous.
Options:
A) A student records the number of hours she spends volunteering each week. So, the first week she volunteers for 4 hours, the sec-
ond week she volunteers for 5.5 hours, and so on.
B) A studio charges musicians to use the space and recording equipment by the hour, rounding a fraction of an hour up. So, for up to
1 hour, the studio charges $100, but for up to 2 hours, the studio charges $200, and so on.
C) A landscape company keeps track of the number of gallons of fertilizer they have left after working in each yard. So, the company
has 15.25 gallons of fertilizer left after working in the first yard, 13.5 gallons of fertilizer left after working in the second yard, and so
on.
D) A runner tracks the total number of miles he has run. So, after 1 day he ran 4 miles, after 2 days he ran a total of 8.25 miles, and so
on.
The right response is A: After working on each yard, a landscaping business keeps note of how many litres of fertilizer are still available.
Therefore, after working in the first yard, the firm has 15.25 gallons of fertilizer left, followed by 13.5 gallons after working in the second yard, and so on.
The scenario of the model should be realistic and should either be discrete or continuous, according to the query.
Discrete and continuous functions: what are they?When the value that the function uses is distinct or separate, the function is referred to as a discrete function. Similar to a discrete function, a continuous function defines its values as an interval and takes it continuously.
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Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? Set A: 1 2 3 23 24 25 Set B: 9 10 11 14 16 18
a.)About the same
b.)Not enough information provided to tell
c.)Larger
d.)Smaller
Set A's standard deviation is larger than that of Set B (option c).
What are the standard deviations?
Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. Standard deviation is a measure of variation of a dataset.
In order to determine the standard deviation, take the following steps:
Determine the average of the observation:Determine the difference between each value and the average and then square the result:Determine the average of the sum of the squared differences and then find the square root of the mean:Standard deviation of Set A:
(1 - 13)² + (2- 13)² + (3- 13)² + (23- 13)² + (24- 13)² + (25 - 13)²
144 + 121 + 100 + 100 + 121 + 144 = 730
√730 / 6 = 11.03
Standard deviation of Set B:
(9 - 13)² + (10- 13)² + (11- 13)² + (14- 13)² + (16- 13)² + (18 - 13)²
16 + 9 + 4 + 1 + 9 + 25 = 64
√64 / 6 = 10.67
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At the lakeside aquarium there are 7 freshwater fish on display for every 5 salt water fish
Based on the number of freshwater fish per s-a-l-t-water fish, the ratio for s-a-l-t-water fish to freshwater fish is 5 : 7.
What is the ratio?The ratio between the s-a-l-t-water fish and the freshwater fish putting both figures against each other as a ratio.
The ratio would be:
Number of s-a-l-t-water fish : Number of freshwater fish
Putting in the quantities gives:
5 s-a-l-t-water fish fish : 7 freshwater fish
5 : 7
In conclusion, the ratio is 5 : 7.
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Oak Creek Furniture Factory (OCFF), a custom furniture manufacturer, uses job order costing to track the cost of each customer order. On March 1, OCFF had two jobs in process with the following costs:
Work in Process Balance on 3/1
Job 33 $ 7,500
Job 34 6,000
$ 13,500
Source documents revealed the following during March:
Materials Requisitions Forms Labor Time Tickets Status of Job at Month-End
Job 33 $ 3,500 $ 6,500 Completed and sold
Job 34 6,000 7,800 Completed, but not sold
Job 35 4,200 3,250 In process
Indirect 1,300 2,140
$ 15,000 $ 19,690
The company applies overhead to products at a rate of 150 percent of direct labor cost.
Required:
Prepare journal entries to record the materials requisitions, labor costs, and applied overhead.
The journal entries to record the materials requisitions, labor costs, and applied overhead is: Debit Work in process inventory $16,300, Credit Manufacturing overhead $1,300, Credit Raw materials inventory.
Journal entries1. Debit Work in process inventory $16,300
($15,000+$1,300)
Credit Manufacturing overhead $1,300
Credit Raw materials inventory $15,000
(To record material acquisition)
2. Debit Work in process inventory $17,550
($19,690-$2,140)
Debit Manufacturing overhead $2,140
Credit Factory payroll $19,690
(To record labor costs)
3. Debit Work in process inventory $26,325
Credit Manufacturing overhead $26,325
($17,550×150%)
(To record applied overhead)
Therefore the journal entries to record the materials requisitions, labor costs, and applied overhead is: Debit Work in process inventory $16,300, Credit Manufacturing overhead $1,300, Credit Raw materials inventory.
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There are 10 numbers listed below. 13.5 12.5 10.8 9 11 10 12.5 13 10.5 12 What is the mode of these numbers?
Answer:
12.5
Step-by-step explanation:
13.5 12.5 10.8 9 11 10 12.5 13 10.5 12
The mode is the number that appears the most number of times.
We place the numbers in ascending order just for convenience.
9 10 10.5 10.8 11 12 12.5 12.5 13 13.5
Every number appears once except 12.5 that appears twice.
Answer: 12.5
An object is launched from the top of a hill and travels in a parabolic path until it reaches the ground. Write a quadratic function
that models the path of the object with a maximum height of 200 feet, represented by a vertex of (25, 200) , landing at the point
(55.0)
Answer:
Bonjour,
Step-by-step explanation:
y=k*(x-25)²+200
0=k*(55-25)²+200 => k=-2/9
y=-2/9(x-25)²+200
The a quadratic function that models the parabolic path of the object is y = -2/9(x-25)²+ 200.
What is defined as the parabolic path?A projectile's trajectory angle is defined as a parabolic path. A parabola is just a curve that represents a quadratic equation graphically. The initial velocity of a projectile is either horizontal or upward at such an angle. If a projectile starts out straight up, it will end up straight down. It's not much of a parabola because it's squished into the a straight line.For the given question;
The maximum height of the object which is launched from the top of a hill is 200 m.
The equation of the parabola is -
y=a*(x-h)²+k
(h,k) = vertex = (25, 200)
y = a*(x-25)²+200
Put (x,y) = (55,0)
0=a*(55 - 25)²+200
=> a = -2/9
Now put the value of 'a' and form the equation.
y = -2/9(x-25)²+ 200
Thus, the a quadratic function that models the parabolic path of the object is y = -2/9(x-25)²+ 200.
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WILL GIVE BRAINLIEST
1. Find the equation of the line graphed at right.
2. What are its
x and
y intercepts?
Step-by-step explanation:
Hopefully this helps you.
make rates equivalent.
16 points scored in 4 games.
48 points scored in 8 games.
The rates aren't equivalent based on the information given regarding the games.
How to illustrate the information?It should be noted that 16 points were scored in 4 games. Therefore, the points per game will be:
= 16 / 4
= 4 points.
Also, 48 points scored in 8 games. Therefore, the points per game will be:
= 48 / 8
= 6 points.
Therefore, the rates aren't equivalent.
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16 points scored in 4 games.
48 points scored in 8 games.
Are the rates equivalent?
Seven subtracted from seven times a number is 147. What is the number?
A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.
The equation is
B) Solve your equation in part [A] for
The translation of the statement is 7x - 7 = 147 and the numerical value of x is 22.
What is the numerical value of x?Given the statement in the question?
"Seven subtracted from seven times a number is 147"
Translate the statement into an equation;
Let x represent the unknown number.
Seven times a number ⇒ 7 × x = 7xSeven subtracted from ⇒ -7Is 147 ⇒ = 147Now, combine
7x - 7 = 147
Therefore the translation of the statement is 7x - 7 = 147.
Next, we solve for x
7x - 7 = 147
Add 7 to both sides
7x - 7 + 7 = 147 + 7
7x = 154
x = 154/7
x = 22
Therefore, the translation of the statement is 7x - 7 = 147 and the numerical value of x is 22.
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You and your friend were thinking about pairs of whole numbers that
have a sum of 12. How many pairs of whole numbers can you find that have a sum
of 12? (Note: A whole number is equal to or greater than 0 and does not include a
fraction. 2 is a whole number. 2 ½ is not a whole number.)
Answer:
0, 12 or 12, 0
1, 11 or 11, 1
2, 10 or 10, 2
3, 9 or 9, 3
4, 8 or 8, 4
5, 7 or 7, 5
6, 6
All these pairs add up to 12.
Hope this helps :)
There are 7 pairs of whole numbers that have a sum of 12.
Given that we need to determine the pairs of whole numbers can you find that have a sum of 12.
To find the pairs of whole numbers that have a sum of 12, we can simply list all the possible combinations and count them.
Let's consider two whole numbers, x and y, such that x + y = 12. Since the numbers should be whole numbers and greater than or equal to 0, we have the following options:
x = 0, y = 12
x = 1, y = 11
x = 2, y = 10
x = 3, y = 9
x = 4, y = 8
x = 5, y = 7
x = 6, y = 6
So, there are 7 pairs of whole numbers that have a sum of 12.
These pairs are (0, 12), (1, 11), (2, 10), (3, 9), (4, 8), (5, 7), and (6, 6). Each of these pairs satisfies the condition that both x and y are whole numbers and their sum is equal to 12.
Note: We only consider x and y values up to 6 since beyond that, the sum would exceed 12, and we are only looking for pairs with a sum of 12.
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A machine costing $214,200 with a four-year life and an estimated $19,000 salvage value is installed in Luther Company’s factory on January 1. The factory manager estimates the machine will produce 488,000 units of product during its life. It actually produces the following units: 123,200 in Year 1, 123,600 in Year 2, 120,900 in Year 3, 130,300 in Year 4. The total number of units produced by the end of Year 4 exceeds the original estimate—this difference was not predicted. (The machine cannot be depreciated below its estimated salvage value.)
The appropriate journal entries for year 4 depreciation is:
Dr. depreciation $52,210
Cr. Accumulated depreciation $52,210
What is depreciation?
Depreciation is the gradual systematic allocation of the cost of asset over its useful years, the fact that the machine in this case would be used for 4 years means that its initial cost needs to be allocated over the 4 years.
Depreciation(straight-line method)=(cost-salvage value)/useful life
Depreciation(straight-line method)=( $214,200-$19,000)/4=$48,800 per year
Depreciation rate per unit=($214,200-$19,000)/488000
Depreciation rate per unit=$0.40
Depreciation in year 4=130,300*$0.40
Depreciation in year 4=$52,210
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Additional information provided by the student in the comment section:
How do I record the 4th year?
