The function rule that could model this situation regarding the amplitude is f(x) = 5 cos(x) + 3.
What is an amplitude?An amplitude simply means a measure of the change in a single period.
It should be noted that the formula of the cosine function will be y = A cos bx
A = Amplitude
Therefore, the function rule that could model this situation regarding the amplitude is f(x) = 5 cos(x) + 3.
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Laura's yard is in the shape of a square and a half-circle.
Answer:
289
Step-by-step explanation:
17 x 17 = 289
6 An account pays
4% compound interest per year.
Eric invests £1500 into the account for 2 years.
How much interest will he earn?
Ad
Answer: £122.4
Step-by-step explanation:
Given
The rate of interest is 4%
The principal invested is £1500
the time period is 2 years
Compound interest is given by
[tex]C.I.=P(1+r\%)^t-P[/tex]
put values
[tex]C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4[/tex]
Therefore, interest earned is £122.4
a rectangular garden has a length which is 14 feet longer than 4 times its width. its area is 60 find length and width. Pls help
Answer:
56
Step-by-step explanation:
2 5/6 * 3 2/3 Please explain how to work it out and dont bot my question-
Answer:
400/9 or 44 4/9
Step-by-step explanation:
( 25/ 6 )( 32 /3 )
=
(25)(32)
(6)(3)
=
800 /18
=
400/9
What is the number that is 1 number before infinity?
WHOEVER WILL ANSWER FIRST AND CORRECT WILL BE THE BRAINLIEST and take ur time I am asking for fun to see who is the best☺
Answer:
напиши по русский
Я НЕ ПОНИМАЮ.
The ratio of the number of Baskin Robbins :Cold stone ice cream cones sold in a day is 11:9.If the number of Baskin Robbins cone sold is 44 .(a)How many cold stone cones are sold ? (b)If the number of cold stone cones on the next day is reduced to 20.what is the new ratio?
answer fast plsssssssssssssssssssssssssssssssss
Answer:
a) 36
b) 11:5
Step-by-step explanation;
a) let the number of cold stone cones be x
Since the initial ratio is 11:9
we have the ratio of the ice creams as;
11:9 = 44:x
11/9 = 44/x
11 * x = 9 * 44
x = (9 * 44)/11
x = 9 * 4 = 36
b) Now, from 36, we have a number of cold stones as 20
So the ratio now will be;
44:20
and that would be;
11:5
I need help for bi dont get it
Answer:
EWWWWWWWWWWWWW UR BI???!!
Step-by-step explanation:
Expand and simply following expression.
5(n – m) +3(n – m)
Answer:
[tex]n = x \\ m = y \\ 5x - 5y + 3x - 3y = 8x - 8y = 8(x - y)[/tex]
I don’t know if this is right
Answer:
Step-by-step explanation:
Sure it is
Answer:
You are right it is not a triangle
A globe of the moon has a radius of 10 inches. Find the volume of the globe. Round your answer to the nearest whole number.
A 36 oz container of Sour Punch Juice costs $6.84. A 48 oz container of the same juice costs $10.08. Which is the better buy?
Answer:
the 10$ one
Step-by-step explanation:
Determine a simplified expression to represent the area of shaded region within the figure below
Answer:
[tex](5x-3)^{2}[/tex] - (3x+1)(2x-1)
Step-by-step explanation:
Determine the area of the large square: (5x - 3)(5x - 3)
Determine the area of the small rectangle: (3x + 1)(2x -1)
Subtract the area of the small rectangle from the area of the large square to get the area of the shaded region.
A bag contains:
5 red marbles
4 blue marbles
2 green marbles
6 black marbles
3 yellow marbles
1. What is the probability a
green marble will be
randomly drawn?
Answer: 2 out of 20=2/20 but simplified 1/10 for trying to get a green marble.
What is the domain for the relation R={(2,3),(1,3),(-2,1),(1,1)}?
Answer:
Step-by-step explanation:
There are four points here. We look at the x-values and identify {2, 1, -2, 1]. This can be reduced to {-2, 1, 2}
Unfortunately, the input '1' shows up twice and thus the relation cannot be a function; we cannot have two different y-values for the same x-value (1).
The circumference of a circle is 8.44cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.
Answer:
Diameter = 2.68cm
Step-by-step explanation:
Circumference of a circle = 2πr
Circumference of a circle = 8.44cm
π = 3.14
r = ?
Circumference of a circle = 2πr
8.44 = 2 * 3.14 * r
8.44 = 6.28r
r = 8.44/6.28
r = 1.3439490445859
Approximately
r = 1.34
Diameter = 2r
Diameter = 2 * 1.34
Diameter = 2.68cm
What is the area of the figure?
Answer:
B
Step-by-step explanation:
A central angle measuring 120° intercepts an arc in a circle whose radius is 6.
What is the area of the sector of the circle formed by this central angle?
π
12 π
24 π
36 π
Answer:
A central angle measuring 120° intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle? Answer choices: 1/3π
Step-by-step explanation:
Jack designed a bridge that will be 0.2 miles long, and 3/5 of the bridge has been built. How long is the section of the bridge that is finished? Show how you know.
Answer:
0.12
because 3/5 of 0.2 is 0.12
u probably shouldn’t trust me im dum
Step-by-step explanation:
Among the licensed drivers in the same age group, what is the probability that a 78-year-old was involved in an accident? Use the table below.
Answer:
C. 6.6%
Step-by-step explanation:
The probability of an event 'A' occurring, P(A) is given by the ratio of the number of times event A occurs to the some of all possible events
Mathematically, we have;
[tex]The \ probability \ of \ an \ event = \dfrac{The \ number \ of \ the \ required \ outcome}{The \ number \ of \ all \ possible \ outcomes}[/tex]
The number of drivers involved in an accident who are above 75 years = 13,321
The total number of drivers in accidents = (10,034 + 17,173+ 35,712+ 40,322 + 40,937 + 30,355 + 17,246 + 13,321) = 205,100
A 78-year-old is in the age group of 75 and older
∴ The probability that a 78-year-old licensed driver was involved in an accident = The probability that a 75 and older year-old licensed driver was involved in an accident = 13,321/205,100 ≈ 0.06495 = 6.5%
Therefore, the best option is option C. 6.6%
Answer:
4.2
Step-by-step explanation:
<333
4 years is what fraction of a century?
I just need a explanation pls
Answer:
SCreenshoit
wont lddlwd
Step-by-step explanation:
In the diagram shown, ZUMF is an exterior angle of triangle JMK Select all the remote interior angles of
Answer:
Options (1) and (3)
Step-by-step explanation:
Exterior angles of a triangle is equal to the sum of two remote interior angles of the triangle.
In triangle JMK,
∠JMF is the exterior angle and angles ∠KJM and ∠JKM are the remote interior angles.
m∠JMF = m∠KJM + ∠JKM
Therefore, Options (1) and (3) are the correct options.
Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.
x = 3sin2ø
y = 3cos2ø
Answer: [tex]\dfrac{x^2}{9}+\dfrac{y^2}{9}=1[/tex]
Step-by-step explanation:
Given
[tex]x=3\sin 2\phi\\y=3\cos 2\phi[/tex]
square and add [tex]x\ \text{and}\ y[/tex] terms i.e.
[tex]\Rightarrow x^2+y^2=[3\sin 2\phi]^2+[3\cos 2\phi]^2\\\Rightarrow x^2+y^2=9\sin ^22\phi+9\cos ^2 2\phi\\\Rightarrow x^2+y^2=9[\sin^2 2\phi +\cos^2 2\phi]\\[/tex]
Using identity [tex]\sin ^2\theta +\cos ^2 \theta =1[/tex]
[tex]\Rightarrow x^2+y^2=9\\\\\Rightarrow \dfrac{x^2}{9}+\dfrac{y^2}{9}=1[/tex]
help me again with this
Answer:
153
Step-by-step explanation:
6*12=72
4*4= 16
13*5=65
153
last one like actually last one then I can submit<3
Answer:
100 because they are both vertical from each other
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
4 angel = 100
6 angle =100
5 angle= 80
The straight line L passes through the points (0, 12) and (10, 4).
Find an equation for L.
Answer:
You need to add an image so we can see the line.
Step-by-step explanation:
A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used. The function b(x) = { 0.150, s 0.10 (x – 200) + 30, x < 200 2 > 200 determines the bill. How much is the bill for a person who uses 300 kWh in a month? O A. $60 O B. $55 C. $40 D. $45
The bill for a person who uses 300 kWh in a month is $40
How to determine the bill of the person?The piecewise function of how the power company calculates the bill is given as:
b(x) = 0.150x, x < 200
b(x) = 0.10(x - 200) + 30, x >= 200
For a person who uses 300 kWh in a month, the value of x is 300.
i.e. x = 300
By comparing the domain of the piecewise function, we make use of the following function
b(x) = 0.10(x - 200) + 30, x >= 200
Remove the domain
b(x) = 0.10(x - 200) + 30
Substitute the known values in the above equation
b(300) = 0.10(300 - 200) + 30
Evaluate the difference
b(300) = 0.10(100) + 30
Evaluate the product
b(300) = 10 + 30
Evaluate the sum
b(300) = 40
Hence, the bill for a person who uses 300 kWh in a month is $40
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[REALLY EASY QUESTION]
Given g(x) = 4x + 5, what function h(x) would represent a leftward shift by three units?
A) h(x) = 4x + 2
B) h(x) = 4x + 8
C) h(x) = 4x + 17
D) h(x) = 7x + 17
Answer:
A. h(x)=4x+2
Step-by-step explanation:
Because it's shifted to the left, you would subtract three units from 5, resulting in 4x+2. Hope this helps, have a nice day! :)
Which of the following shows the difference in the amount of liquid that both bottles hold rounded to the nearest tenth?
Answer: A
Step-by-step explanation:
please help!! 20 points for answering. if you guess or comment something just to take points i will make sure your account gets banned. thank you!! :)