Answer: Option B, C = 3.
Step-by-step explanation:
Here we have the function:
f(x) = A*cos(x - C)
A is the amplitude, and we can easily see that the amplitude is 2.
Then:
f(x) = 2*cos(x - C)
We also can see that when x = 0, f(x) ≈ -2
This means that:
cos(0 - C) ≈ -1
Cos(C) ≈ -1
Now we can just evaluate in the different options and see which one is the correct option.
Cos(1) = 0.54
Cos(2) = -0.42
Cos(3) = -0.99
Cos(4) = -0.65
The closer option to -1 is when C = 3, then the correct option is option B.
Answer:
B
Step-by-step explanation:
Just took the quiz
How many solutions does -6p + 7 = 7 -6p
have?
Answer:
Infinitely Many Solutions
Step-by-step explanation:
1. Since both sides equal, there are infinitely many solutions.
After a 2 1/2 hour rainstorm, there are 5 inches of water in a bucket outside. What is the rate per inch?
Answer:
2 inches per hour
Step-by-step explanation:
2 1/2 hours is equivalent to 150 minutes.
Set up a proportion; let x equal inches of rain
[tex]\frac{5}{150}[/tex]=[tex]\frac{x}{60}[/tex]
Cross multiply -> 150x=300
Divide both sides by 150 to get -> x=2
I can’t tell if this is good or bad ;-; I did just skip some of the questions tho ngl...
Answer:
OoP
Step-by-step explanation:
Find the missing part.
Answer:
15
Step-by-step explanation:
9/6=x/10
why? they segments are similar
Plsss help guys
Ill give brainly points to who ever answers this question plsss
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y - 40 = 9
Answer:
3y=49
Step-by-step explanation:
yeppp I'm pretty sure
Find the measure of Angle A in the image below:
142°
А
Answer:
38
Step-by-step explanation:
180-42
Answer:
38
Step-by-step explanation:
A + 142 = 180 {Linear pair}
A = 180 - 142
A = 38
WILL GIVE BRAINLIST IF CORRECT If the triangle below has area 300 square cm, find the value of x.
Answer:
33.56
Step-by-step explanation:
Area is useless here. Just use cosine (x) = 30/36, or cosine (x) = 0.8333
What value of x makes this true? 33.56!
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Two ordered pairs that can be seen are (0,1) and (1,2)
Using delta y/ delta x,
(2-1)/(1-0) = slope
slope = 1/1
slope = 1
Answer:
slope = 1
Step-by-step explanation:
To find the slope of the line, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], in which [tex]m[/tex] represents the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.
Thus, locate two points on the line. We can see that the line intersects (-1,0) and (0,1), thus we can use them for the formula. (Any other two points that are also on the line will also work.) Substitute their x and y values into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(0)}{(0)-(-1)}\\m = \frac{1-0}{0+1} \\m = \frac{1}{1} \\m = 1[/tex]
Thus, the slope is 1.
I need help with this please, i need it fast
Answer:
angle equals 15.466 so Answer A, 15.47
solve this equation for y, y=x-4
Answer:
It’s already solved for y
y = x - 4
Step-by-step explanation:
If it’s for x, X = y + 4
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?
Answer:
11.1 feet
Step-by-step explanation:
person = B cat = C
C
/ |
/ | x
B /_48]________ ______|
|____10ft____|
since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve. (make sure to be in degrees lol)
tangent ( 48) = x/10
10 * tan(48) = x
11.1 = x
The cat is 11.1 feet high.
) tan C
с
45
36
to
27
А
Answer:
36. 1193 or 33.12 degrees rounded
Step-by-step explanation:
Tan = opp/adj
Tan C = 27/37
Tan inverse (.729 . . .) = C
= 36. 1193 or 33.12 degrees rounded
please help PLEASE WILL GIVE BRAINS
A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
A fan has 5 equally spaced blades.
A. 120°
B. 60°
C. 90°
D. 72°
Ms. Hannah goes bowing with her friends. The bowing shoe rental for the group costs $22. Each game the group bows costs $7 25.
1.Write an equation for the total cost cof the outing related to the number of games played g.
2. How much will cost to bow 3 games?
A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.
True or false??
Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is
[tex]A_1=\pi (r_1)^2[/tex]
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
[tex]r_2=1.5r_1[/tex]
The area of the new circle is
[tex]A_2=\pi (r_2)^2[/tex]
[tex]A_2=\pi (1.5r_1)^2[/tex]
[tex]A_2=2.25\pi (r_1)^2[/tex]
[tex]A_2=2.25A_1[/tex]
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
What is the area of a semicircle that has a radius of 20 feet?
Answer:
[tex]200\pi[/tex] or 628.3185
Step-by-step explanation:
Area of a semicircle is equal to [tex]\frac{\pi r^{2}}{2}[/tex]. So, when the radius is 20, the area of the semicircle will be [tex]\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185[/tex].
Here's what Gabriel and Kayla actually wrote.
Gabriel: 3x + 6
Kayla: 3(x+2)
These expressions are equivalent.
What do you think that means?
Answer:
Step-by-step explanation: equivalent means equal to, so that means these expressions are equal :)
but there are a lot of creeps here" :(
Step-by-step explanation:
Estimate the sum by rounding each number to the nearest half or whole.
2 1/2 + 5 5/8=
O 8 1/2
O 8
O 7
O 7 1/2
33333333333333333333333333333
Answer: All three methods would be easy and effective
Step-by-step explanation:
h(1)= 9
h(n)=h(n−1)⋅(-3)
Find an explicit formula for h(n).
h(n)= ?
Given:
[tex]h(1)=9[/tex]
[tex]h(n)=h(n-1)\cdot (-3)[/tex]
To find:
The explicit formula for h(n).
Solution:
We have,
[tex]h(n)=h(n-1)\cdot (-3)[/tex] ...(i)
It is the recursive formula of a geometric sequence. It is of the form
[tex]a(n)=a(n-1)\cdot r[/tex] ...(ii)
where r is the common ratio.
On comparing (i) and (ii), we get
[tex]r=-3[/tex]
We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].
The explicit formula for a geometric sequence is:
[tex]h(n)=ar^{n-1}[/tex]
Substitute a=9 and r=-3 to get the explicit formula for the given sequence.
[tex]h(n)=9(-3)^{n-1}[/tex]
Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].
Find y. Give your answer in
the simplest form.
y =
Enter the number that belongs in the green box.
Answer:
y = 8 root 2
Step-by-step explanation:
Since it is a 90-45-45 triangle, y is s root 2
s = 8
so, y = 8 root 2
Answer:
y=8√2
Step-by-step explanation:
Because 2 of the angles are the same, the triangle is isosceles (because of base angles theorem). Therefore, x=8. Using Pythagoras theorem, y=8√2.
A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.
The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?
Answer:
(20,280) and (10,300)
Step-by-step explanation:
It was the correct answer on the practice question
Answer:
Edmentum/Plato
Two data sets contain an equal number of values. The double box and whisker plot represents the values in the data set. Compare the data sets using measures of center and variation.
Answer with explanation:
From the box and whisker plot of seventh grade we have:
The minimum value =6
First quartile or lower quartile i.e. = 14
Median or second quartile i.e. = 18
Third quartile or upper quartile i.e. =22
and maximum value = 26
From the box and whisker plot of eighth grade we have:
The minimum value =22
First quartile or lower quartile i.e. = 26
Median or second quartile i.e. = 30
Third quartile or upper quartile i.e. = 34
and maximum value = 38
a)
The overlap of the two sets of data is as follows.
The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.
And the maximum value of seventh grade is same as the lower quartile of eighth grade.
b)
IQR is calculated as the difference of the Upper quartile and the lower quartile
i.e.
so, IQR of seventh grade is:
22-14=8
IQR of seventh grade=8
IQR of eighth grade is:
34-26=8
Hence, IQR of eighth grade=8
c)
The difference of the median of the two data sets is:
30-18=12
Hence, the difference of median is: 12
d)
As the IQR of both the sets is same i.e. 8.
Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:
Hence, the number is : 1.5
Answer:
ive seen this before
Step-by-step explanation:
PLS I NEED HELP QUICKLY
Answer:
b + b + h + h and since you have two of each you can say 2b + 2h.
Multiply −47(−35)(−73). Simplify your answer.
Answer:
-47(-35)(-73)
1645×-73
-120 085
ans: -120 085
Answer:
-47(-35)(-73)
1645×-73
-120 085
ans: -120 085
Step-by-step explanation:
1+1
(You don't have to answer its for talking)
Answer:
Step-by-step explanation:
1 +1 = 2 g a y n i g g a s
What is the x-intercept for the equation: 3x + by = 18? *
Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the number years be represented as b
where the amount after b years is = $ 51,800
The initial principal amount P = $ 36,000
The number of times the compound interest is applied = quarterly = 4
Now , the equation is
A = P ( 1 + r/n )ⁿᵇ
On solving for the number of years b , we get
b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )
On further simplification , we get
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )
b = 6.911 years
On rounding to the nearest year , we get
b = 7 years
Therefore , the value of b is 7 years
Hence , the number of years is 7 years
To learn more about compound interest click :
https://brainly.com/question/21270833
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Derek earns $ 4800 in 3 months. what is his annual income
Answer: Annual Income Is $192000
Step-by-step explanation:
firstly know one month income we divide by 48000 by 3
= 16000
we know one month income 16000
than we for know annual income we multiply by 12
16000×12 =192000
annual income is $192000