Answers
Answer:
[tex]f(x) = cos(x - \frac{\pi }{4} ) -1[/tex]
Step-by-step explanation:
In this graph, we have the coordinate point ([tex]\frac{\pi }{4} , 0[/tex]). Without translations, cos(0) = 0, which means that the graph is shifted to the right by [tex]\frac{\pi }{4}[/tex]. We also know that the graph is shifted down by 1 because we have the point
([tex]\frac{5\pi }{4} , -2[/tex]), but accounting for the right shift, this point should really by ([tex]\pi , -2[/tex]). cos([tex]\pi[/tex]) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by [tex]\frac{\pi }{4}[/tex] and the shift down by 1, our equation is [tex]f(x) = cos(x - \frac{pi}{4} ) - 1[/tex].
Related Questions
Find the time that that the projectile will reach a height of 96 ft and return to the ground when v0 = 112 feet per second
Answers
The time that the projectile will reach a height of 96 ft and return to the ground will be 6 seconds.
What is kinematics?It is the study of the motion of a body without considering mass. And the reason behind them is neglected.
The projectile will reach a height of 96 ft and return to the ground when v₀ = 112 feet per second
The time it takes to reach feet and return to the ground will be
T = 2v₀ / g
Where g = 32.2 feet per square second.
Then we have
T = 2 x 112 / 32.2
T = 5.956
T ≅ 6 seconds
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The length of a rectangle is 3 times the
width. Find the dimensions of the
rectangle if its perimeter is 16 cm.
Answers
Step-by-step explanation:
length = 3×width
2×length + 2×width = 16
length + width = 8
we can use the first equation in the second :
3×width + width = 8
4×width = 8
width = 2 cm
therefore,
length = 3×width = 3×2 = 6 cm
HELP ASAP!! (NO LINKS) I WILL GIVE BRAINLIEST
The numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75,
100, 150, 225, 250, 100, 125, 75, 25, 225, and 175. identify the box-and-whisker plot for
the data.
Answers
Answer:
The answer is C.
Step-by-step explanation:
From looking at the values you are given. The only one that matchs with your beginning values of 25 and endding values of 250 is answer C. For a more elaborate explanation, please ask another student for more details.
Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. She wants to compare the theoretical probability and the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7, 5, 3, 4, 1, 9}
**Note - There are 3 answers. You must select 3 answers.**
The theoretical probability of spinning an odd number is equal to ______. The experimental probability of spinning an odd number is equal to ______. Therefore, the theoretical probability of spinning an odd number is _____ the experimental probability of spinning an odd number.
Question 7 options:
2/3
3/5
less than
greater than
1/2
5/9
1/5
Suppose you toss a coin and then roll a number cube.
What is the sample space for the compound event?
Question 9 options:
H1 T1 H6 T6
H T 1 2 3 4 5 6
H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6
TH1 TH2 TH3 TH4 TH5 TH6
A restaurant is serving a special lunch combo meal that includes a drink, a main dish, and a dessert. Customers can choose from 5 drinks, 6 main dishes, and 3 desserts.
How many different combo meals are possible?
Customers can create ______ different lunch combo meals.
Question 10 options:
36
90
14
120
Frank opens several pea pods & counts the number of peas in each pod. He records the number peas per pod: 7,8,9,10,11 Number of times: 1,4,18,15,2. written as a percent, what is the experiment probability that the pea pod has 9 peas in it? 48.8% 45% 18% 12.5%
Answers
The theoretical probability of spinning an odd number is equal to 5/9.
The experimental probability is equal to 3/5.
The theoretical probability of is greater than the experimental probability.
The sample space is H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6.
The different combo meals that are possible is 90.
The experiment probability that the pea pod has 9 peas in it is 45%.
What are the probabilities?
Probability is used to determine how likely it is that an event would happen. Experimental probability is based on the result of an experiment that has been carried out multiples times
The theoretical probability of spinning an odd number = odd numbers between 1 and 9 / 9 = 5/9
The experimental probability = number of odd number / sample space
6/10 = 3/5
The different combo meals possible = 6 x 5 x 3 = 90
The experiment probability that the pea pod has 9 peas in it = number of pods with 9 peas / total number of peas
(18/40) x 100 = 45%
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When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a commission of 9% of your sales • Option B: Base salary of $20,000 a year with a commission of 4% of your sales How much electronics would you need to sell for option A to produce a larger income? Enter your answer as an inequality using the variable x to represent electronics sales in dollars. Do not enter any commas in your answer.
Answers
Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the base salaries as the intercept and the commissions as the slope, the functions are given by:
A(x) = 10000 + 0.09x.B(x) = 20000 + 0.04x.To produce a larger income in option A, it is needed that:
A(x) > B(x).
Hence:
10000 + 0.09x > 20000 + 0.04x
0.05x > 10000
x > 10000/0.05
x > 200,000
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Sandy baked two dozen cookies. She gave ten cookies to the neighbours and ate three cookies.
How many cookies are left?
Answers
Answer:
11
Step-by-step explanation:
2 dozen = 24
24-10=14
14-3=11
Answer:
11
Step-by-step explanation:
two dozens is 24 because one dozen is 12. 24-10=14-3=11
km2 − m Please answer!!!!!
Answers
Step-by-step explanation:
1km=1000m
2km=2×1000m
2km=2000m
(53 +9r²s) (12rs²-g³) + (-7r²s +7rs²)
Answers
Answer:
(negatively proximity is (31 + 1r¼)car bite
Step-by-step explanation:
Hope it helps
can someone answer this question- I will give brainily if it is correct.
Answers
Answer:
A
Step-by-step explanation:
since decimals are 10ths and 100ths places, you can translate such into fractions
hope this helps:)
If the dimensions of a rectangle with a perimeter of 12 cm are doubled, what will be
the perimeter of the new rectangle?
Answers
Step-by-step explanation:
the perimeter is the sum of the 4 individual sides.
if the sides are doubled, so is the sum of them.
therefore, the new perimeter is then
12×2 = 24 cm
I need help on this question and please explain what I got wrong so I understand and what I'm supposed to do.
Answers
Answer:
A. 64
Step-by-step explanation:
In this problem, you're trying to find out what b is.
With the information that you have, you know that the answer will be 16, and your denominator (what you'll be dividing by) is 4. What you got wrong in this was thinking of it as "what times 4 equals 16", to which you got the answer 4 because 4*4=16. But, that's not exactly what you're supposed to be doing.
If we looked at it like that in this problem, you'd have b=4, making the equation then look like 4/4=16. This isn't true because 4/4=1.
Instead, to get the correct answer, you'll be multiplying 4, the denominator, by 16, our solution. With this, you'll get the answer A. 64.
If you have any more questions, feel free to reach out for help.
Answer:
We are given an equation of [tex]\frac{b}{4} = 16[/tex] and we need to determine what b is. The way that we would do this is what you did and we would multiply both sides by 4 which would get rid of the 4 in the fraction and this would end up multiplying 16 by 4 giving us [tex]b=64[/tex]. This would best match with option A which is 64.
Hope this helps! Let me know if you have any questions
Problem 6.1
Which number is larger?
12x10^9
4x10^9
Answers
Answer:
7 7^10
1 5^9
yan po yung sagot
sana makatulong
A. 0.31
B 0.52
C 0.56
D 0.26
Answers
Answer:
0.56
Step-by-step explanation:
What type of solution is this expression (one solution, no solution, or infinite solutions)
4x + 2x - 2 = 3x + 7
Answers
Answer: One solution
Step-by-step explanation:
6x-2=3x+7
3x-9
x=3
Which data set does this stem-and-leaf plot represent?
7, 0, 6, 2, 8
77, 7, 0, 6, 6, 0, 0, 2, 8
17, 27, 40, 46, 56, 60, 82, 88
40, 88, 82, 46, 56, 60, 17, 60, 27, 17
Answers
Answer:
it's 40, 88, 82, 46, 56, 60, 17, 60, 27, 17
solve the equation 1/x + 3/x =16
Answers
4/x = 16
4/16 = x
1/4 = x
[tex] \qquad \qquad \qquad \frac{1}{x} + \frac{3}{x } = 16[/tex]
This is how to solve your problem:
Combine fracrions with common denominator[tex] \qquad \qquad \frac{1}{x} + \frac{3}{x} = 16[/tex]
[tex] \qquad \qquad \frac{1 + 3}{ x} = 16[/tex]
Add the numbers[tex] \qquad \qquad \qquad\frac{1 + 3}{x} = 16[/tex]
[tex] \qquad \qquad\frac{4}{x} = 16 [/tex]
Multiply all terms by the same value to eliminate fraction denominators[tex] \qquad \qquad \qquad \color{skyblue}{ \frac{4}{x} = 16}[/tex]
[tex] \qquad \qquad \qquad \color{gold}{x .\frac{4}{x} = x.16}[/tex]
Cancel multiplied terms that are denominator[tex] \qquad \qquad \: x.\frac{4}{x} = x.16 [/tex]
[tex] \qquad \qquad 4 = x.16[/tex]
Re-order terms so constants are on the left[tex] \qquad \qquad4 = x.16[/tex]
[tex] \qquad \qquad 4 = 16x[/tex]
Divide boths sides by the same factor[tex] \qquad \qquad4 = 16x[/tex]
[tex] \qquad \qquad\frac{4}{16} = \frac{16x}{16} [/tex]
Simplifydivide the numbersCancel terms that are in both the numerator and denominatorMove the variable to the left[tex] \qquad \qquad x = \frac{1}{4} [/tex]
the final answer is :
[tex]x = \frac{1}{4} [/tex]
I'm so confused on what I did wrong
Answers
Answer:
[tex]r < 15.5[/tex]
Step-by-step explanation:
Step 1: Add 4.5 to both sides
[tex]r - 4.5 < 11[/tex]
[tex]r - 4.5 + 4.5 < 11 + 4.5[/tex]
[tex]r < 15.5[/tex]
Answer: [tex]r < 15.5[/tex]
I don't really know what you did wrong but it seems like you added 45 to 11 instead of adding 4.5 to 11.
Hope this helps! Let me know if you have any questions
Factor: 2n2 - 11n + 15
Answers
Answer:
(2n-1)(n-5)
Step-by-step explanation:
2n2-11n+5
2n2-10n-1n+5
(factorize)
2n(n-5)-1(n-5)
(2n-1)(n-5)
1,000 km = 1 mm
True or False
Answers
Answer: Heavily false. False by a long shot.
Step-by-step explanation: 1,000 kilometers is equivalent to 1e+9 millimeters. This is nine zeros after 1. So, this can be simplified as 1,000,000,000 milimeters, or rather, 1 billion millimeters. You can calculate this yourself by multiplying 1000 by 1,000,000 (1km = 1,000,000 mm.)
find the speed and direction of a plane with a velocity of 〈5,-12〉.
Answers
Answer:
Below in bold.
Step-by-step explanation:
Speed = √(5^2 + (-12)^2)
= √169
= 13,
Direction = arctan (5/-12)
= -22.61 degrees ( its in the 4th quadrant)
So we can write the direction as 90 + 22.61
= 112.61 degrees.
Which term refers to when there are excessively large amounts of people in a specific area, which limits access to resources?
A. Population
B. Migration
C. Refugee
D. Overpopulation
Answers
Answer:
D. Overpopulation
Step-by-step explanation:
Overpopulation is the number of a people in an area exceeds the capacity of the environment to support life at a decent standard of living. When there is a population exceeding the amounts of resources that are provided, it can cause issues as there are nonrenewable resources meaning that there is limited resources for everyone. This is bad as it can become a crisis.
A ladder 5m long rests against a house and makes an angle of 720 with the ground. How far does the ladder reach up the wall?
Answers
The function is sin. Sin(72)= opposite/5(hypotenuse)
5sin(72)=4.76 metres to 2 decimal places
Find the volume of the solid.
Answers
Solid is a substance that can be measured. The required volume of a solid is 90 cubic cm
Volume of solidsThe formula for calculating the volume of a solid ie expressed as:
V = lwh
l is the length
w is the width
h is the height
For the given figure;
Volume = (11 * 2 * 3) + (2 * 3 * 4)
Volume = 66 + 24
Volume = 90 square cm
The required volume of a solid is 90 cubic cm
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Use the box plots comparing the number of boy dogs and number of girl dogs attending doggy daycare each day for a month to answer the questions.
Answers
The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance.
What will be the solution?(a) The IQR of the male's data
The first box plot represents the male's boxplot.
So, we have:
Upper quartile (Q3) = 14
Lower quartile (Q1) = 2
The IQR is the difference between the above values
IQR = Q3 - Q1
So, we have:
IQR = 14 - 2 = 12
So: the IQR for the males' data is 12
(b) The difference in the median values
From the first and second boxplots, we have:
Median male = 10
Median female = 18
The difference (d) between these values is
d = 18 - 10
d = 8
So: the difference between the median values of each data set is 8
(c) The distribution of data
This is dependent on whether the dataset has an outlier or not.
From the figure, we have:
Male's data: presence of an outlier - use median
Female's data: absence of an outlier - use mean
So: the male dataset is measured by median, while the mean is a better measure of center for the female's data
(d) Reason for outliers
A possible reason for outliers is sampling problems
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Find the cardinal number for the following set A.
A= {x | x is a letter in the word aftershock}
The cardinal number of set A is
Answers
Answer:
I hope this answer is correct
A. Reflect across the x-axis, then shift 10 units up
B. Reflect across the x-axis, then shift 4 units up
OC. Reflect across the x-axis, then shift 6 units up
n Deflect across the wavie then chift & unite un
← PREVIOUS
Answers
Answer:
b. reflects across the x-axid then shift 4 units up
Step-by-step explanation:
(5,3)
16 km
12 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С
kilometers
Answers
Step-by-Step Explanation:
4. Use the formula to evaluate the series 3 + 6 + 12 + 24 +48 +96. Sn a₁(1 - r^) 1-r
Answers
Answer:
[tex]S_6=189[/tex]
Step-by-step explanation:
This is a geometric series with [tex]a_1=3[/tex] and common ratio [tex]r=2[/tex]. Using the formula [tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}[/tex] to find the sum of the first [tex]n=6[/tex] terms, we have:
[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_6=\frac{3(1-2^6)}{1-2}\\\\S_6=\frac{3(1-64)}{-1}\\\\S_6=\frac{3(-63)}{-1}\\\\S_6=\frac{-189}{-1}\\\\S_6=189[/tex]
So, the given series works out to be [tex]S_6=189[/tex].
The area of a triangle is 7.5 . The base of the triangle is 5 cm .what is the height of this triangle.
Answers
Area
1/2BH=7.51/2(5)H=7.52.5H=7.5H=7.5/2.5H=3cm= 3 cm
Step-by-step explanation:[tex] \frac{1}{2} BH = 7,5 \\ \\ (\frac{1}{2} \times5)H=7,5 \\ \\ 2,5H = 7,5 \\ \\ H=7,5 \div 2,5 \\ H=3 \: cm[/tex]
Answer by NinaDon't copy from anywhere ✅Don't Look at Rank ✅In an arithmetic sequence, the sum of the second and eighth terms is $5$, and the product of the fourth and fifth terms is also $5$. What is the $20$th term of this sequence?
Answers
Answer:
10
Step-by-step explanation:
Let $a_n$ be the $n$th term of this sequence. We know $a_2 + a_8 = 5$, and that forces $a_5 = \dfrac 5 2$, the average of these terms.
Then $a_4a_5 = 5$ gives us $a_4 = 2$.
The common difference is $\dfrac 1 2$, and in general, $a_n = \dfrac n 2$.
Therefore the $20$th term is $\dfrac{20}{2} = \boxed{10}$.
The 20th term of the arithmetic sequence will be equal to [tex]T_{20}=10[/tex]
What is arthematic sequence?Arthematic sequence is the type of the number series in which the difference between the first and the second term is always constant in the whole series.
Let [tex]$a_n$[/tex] be the nth term of this sequence.
We know
[tex]$a_2 + a_8 = 5$[/tex], and that forces [tex]$a_5 = \dfrac 5 2$[/tex], the average of these terms.
Then [tex]$a_4a_5 = 5$[/tex] gives us [tex]a_4 = 2$.[/tex]
The common difference is [tex]\dfrac 1 2$,[/tex]and in general, [tex]$a_n = \dfrac n 2$[/tex].
Therefore the 20th term is
[tex]T_{20}=$\dfrac{20}{2} = \boxed{10}$.[/tex]
Hence the 20th term of the arithmetic sequence will be equal to [tex]T_{20}=10[/tex]
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