Answer:
10 inches
Step-by-step explanation:
Annabelle’s bicycle has a wheel radius of 13 inches. She places a sticker on the wheel so that its minimum height above the ground is 0.5 inches. When she rides her bicycle, the wheel completes 90 revolutions every minute. The sticker begins at its minimum height above the ground. Which equation models the height in inches of the sticker after x minutes? y = 0.5 sine (180 pi x) + 13 y = 12.5 sine (180 pi x) + 13 y = 0.5 sine (180 pi x minus StartFraction pi Over 2 EndFraction) + 13 y = 12.5 sine (180 pi x minus StartFraction pi over 2 EndFraction) + 13
Answer:
[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]
Step-by-step explanation:
In order to solve this we can start by drawing a sketch of the problem (see attached picture)
So fist, let's take the general form of a sinusoidal movement:
[tex]y=Asin(\omega x+\phi)+b[/tex]
where:
A= amplitude
[tex]\omega[/tex]= angular frequency
x= time
[tex]\phi[/tex] = horizontal shift
b= vertical shift.
In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:
A= 13in - 0.5in =12.5 in
The angular frequency is how many radians the wheel will turn in a minute, so we get:
[tex]\omega=\frac{90 rev}{min}*\frac{2\pi rad}{1 rev}[/tex]
[tex]\omega=180\pi rad/min[/tex]
Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by [tex]\frac{\pi}{2} rad[/tex], so in this case:
[tex]\phi=-\frac{\pi}{2}[/tex]
and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:
b=13in
so when putting it all together we get our equation to be:
[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]
plzzzz help meeeeeeeeeeee
write a mathematical equation and calculate the area of the irregular polygon
ANSWER ASAP PLS
The circular opening of a tunnel has a circumference of 36 meters. Which equation can be used to find d, the
diameter of the tunnel opening in meters?
An architect is allowed 56 square yards of floor space to add a small bedroom to a house. because of the rooms design in relation to the existing structure, the lenght of the rectangular floor must be 6 yards less than 2 Times the width.Find the lenght and width of the rectangular floor that the architect is permitted
−2(5d−9f)+7f−10(−9f−7d)
Answer:
38
Step-by-step explanation:
The functions f and g are defined as follows.
g(x) = -2x3-5
f(x) = - 4x + 2
Find f (6) and g(-3)
Simplify your answers as much as possible.
Answer:
f(6) = -22, and g(-3) = 49
Step-by-step explanation:
f(x) = -4x + 2
f(6) = -4(6) + 2
f(6) = -24 + 2
f(6) = -22
I assume the 3 in g(x) = -2x3 -5 is cubed
g(-3) = -2(-3)^3 - 5
g(-3) = -2(-27) - 5
g(-3) = 54 - 5
g(-3) = 49
at a football game, every person is either a fan of the home team or of the visiting team. omar observes that the ratio of fans of the home team to fans of the visiting team is 7:2. omar states that the total number of fans at the game must be an odd number because 7 + 2 = 9 and 9 is an odd number.
Determine a number of fans of the home team and a number of fans of the visiting team that show omar statement is false.
the first question is, enter a number of fans of the home team that would show Omar's statement is false.
the second question, enter a number of fans of the visiting team that would show omar statement is false.
pls I need help!!!!!!
PLZ ANSWER QUIKCLY
Which expression is equivalent to -12(3x-3/4)
-36x-8
-36x + 8
-36x-9
-36x +9
Answer:
Last one, -36x+9.
Explanation: You need to multiply negative times positive which is negative. But look at the last one -12×-3/4 equals positive 36/4 which equals 9.
What is 74 in standard form? O A. 11 OB. 28 Oc. C. 2, 401 O O D. 16,384
Answer:
oc2
Step-by-step explanation:
because
Help for 20 points please
Answer:
The Answer is 12 - 15= 129
Step-by-step explanation:
x2−15=129
Step 1: Add 15 to both sides.
x2−15+15=129+15
x2=144
Step 2: Take square root.
x=±√144
x=12
12) A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a
party, how many boxes of crackers should he buy?
Answer: about 3 boxes would be 3.50 lbs so idrk
Step-by-step explanation:
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
a) A car is purchased for $30000 and is depreciating at a rate of 12% per
year. Write an equation to represent this situation.
b) What is the car worth in 10 years?
c) How many years does it take for the car to be worth $1000
Answer: 187.5 gallons of gas
Step-by-step explanation:
He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.
Find the standard deviation. Round to the nearest tenth.
8, 17, 13, 8, 9, 13, 14, 5,5
A. 4.0
B. 1.3
C. 4.5
D. 4.2
Answer:
c
Step-by-step explanation:
Is is right?
What is the equation of a line with a y-intercept at (0, 2) and a slope of 3?
a. y = 2x + 3
C. y = 3x + 2
b. y = 3x - 2
d. y = -2x + 3
Answer:
answer is C
the slope is 3 and the intercept is (0,2) which is 2
thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)
Answer:
A.
x + 2 + 12
Step-by-step explanation:
Thomas (t) = Andrew (x) * 2 + 12
Solve the equation 23+n=29 using the inverse operation.
Answer:
n=6
Step-by-step explanation:
i used math-way :P
what is the name of the shape depicted in the graph below
a. limaçon
b. rose
c. cardioid
d. lemniscate
Answer:
Limaçon
Step-by-step explanation:
In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.
The name of the shape depicted in the graph below is a. Limacon.
What are Polar Curves?Polar curves are the curves which are formed using the polar coordinate system.
The distance of the points from the origin will be varying depending on the angle from the positive X axis.
The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.
Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.
The given shape is the limacon with inner loop.
Lemniscate will always be a 8 shaped curve.
Hence the correct option is a, limacon.
Learn more about Polar Curves here :
https://brainly.com/question/27270742
#SPJ7
Elizabeth planted a garden in a 16 foot by 8 foot area. To calculate the square foot area of the garden, she multiplied 16 by 8 and got a product of 128 square feet Which equation could Elizabeth use to check her answer? A) 16 x 8 = 128 B) 128 - 8 = 16 © 128 + 8 = 136 D. 128 - 8 = 120 please help
B 128 divide 8 = 16
took test
Answer:
128 / 8 = 16
Step-by-step explanation:
5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?
A: x/11 = 5/9.70
B: 11\$9.70 = x/5
C: 5/11 = x/9.70
D: 11/5 = 9.70/x
E: None of the above
Factor the expression (x+4)^2-4y^5(x+4)+4y^10
Can you figure out the missing number
Answer:
probably 6 thats one of the missing ones
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
not a straight line
Step-by-step explanation:
Linear has the word "line" in it. A linear relation has a graph shaped like a straight line.
Nonlinear means "not like a straight line".
Answer: not a straight line
WILL GIVE BRAINLIEST!!!
In a test of hypothesis for a mean, which statement is CORRECT?
The population must be normal because that is the only case when the sample mean is Normally distributed.
As long as the population distribution consists only of positive values, sample size does not matter.
The population distribution can be any distribution because the sample mean is always Normally distributed.
The test requires that the sample mean is normally distributed; this requires that either the population distribution is Normal or the sample size exceeds 30.
Answer:
As long as the population distribution consists only of positive values, sample size does not matter.
Step-by-step explanation:
As long as the population distribution consists only of positive values, sample size does not matter.
This is a hypothesis because a hypothesis is basically a prediction of what's gonna happen; the other choices are mostly facts that can be backed up, this can only be confirmed after it happens since it can end in different ways. This is a prediction where it says that if the population distribution continues to go on to positive value, then the sample size won't matter; this can come out in different ways, the sample size could matter or it would have to be negative values, e.t.c. This has different ways it could end up.
Find the value of x.
the measure of an angle and its complements are 13x and 17x write an equation then solve
Step-by-step explanation:
Aal kimoya iyah I love 18Determine what type of solution the following equation has: 3(x-1)+5=3x+2
- No solution
- One solution
-Infinitely Many solution
The volume of this rectangular prism is 53.72 cubic centimeters . what is the value of y?
Answer:
y = 1.7 cm
Step-by-step explanation:
V= lwh
w = [tex]\frac{V}{lh}[/tex] = [tex]\frac{53.72 cubic centimeters}{4cm(7.9cm)}[/tex] = 1.7 cm
find the surface area of the cube with 7 inches sides
Answer:
294
Step-by-step explanation:
surface area of a cube = 6* a^2
6 * 7^2
= 6* 49
= 294
