Answer:
Formula
Step-by-step explanation:
Answer:
formula because it gives you the number and tells you what to do.
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]
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
Find the next two numbers in the following sequence. List the very next missing
number in Blank 1, and then list the second missing number in Blank 2.
1,4, 16, 64, _, _
Answer:
256,781
Step-by-step explanation:
Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].
What is the sequence?
A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.
Here given sequence is
[tex]1,4, 16, 64, -,-,[/tex]
So,
[tex]1\\1(4)=4\\16(4)=64\\64(4)=256\\256(4)=1024[/tex]
Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].
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QUESTION 5
One card is selected from a standard deck of playing cards. Find the probability it is an ace or a 9.
Give the answer as a fraction
SHOW ALL WORK!
WILL GIVE U BRAINIEST
Answer: 2/13
Step-by-step explanation:
4 aces, 4 nines in a deck of 52 cards
so 8/52 chance of getting one of them reduce to 2/13
What is the length of EF? (PLEASE HELP)
4π
2π
8π
π
Answer: 8 pie
Step-by-step explanation:
8====>
The length of the given arc is determined as 2π.
option B is the correct answer.
What is the length of the arc EF?The length of the arc EF is calculated by applying the formula for the length of an arc as shown below;
EF = θr
where;
θ is the angle subtended by the arcr is the radius of the sectorFrom the given diagram, the radius of the arc = 4, and the angle subtended by the arc = π/2
The length of the arc is calculated as follows;
EF = ( π/2 ) x 4
EF = 2π
Thus, the length of the given arc is determined by applying the formula for length of an arc.
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help please ! i need this asap
Answer:
x = 65° + 60° = 125°
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:
solve by regrouping 2x2+6x+54+18x
Answer:
I believe the answer is=2x2+342.
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 18An 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
PLEASEEE HELPPPP U DONT HAVE TO BE CORRECT JUST HAS TO MAKE SENSEEE PLS HELLPP
Answer:
TBH I don't really know either, but 63, 360?
Step-by-step explanation:
If they give you a number in feet, and they want inches time the number by 12? (12 inches in a foot)...sorry idrk...
Answer and Step-by-step explanation:
We are told that there are 5,280 feet in 1 mile.
We also know that 1 foot equals 12 inches.
So, to know how many inches are in One mile, we must multiply 5280 by 12.
1
5280
× 12
______
10560
+52800
_______
63360
So, the amount of inches that are in 1 mile is 63,360.
#teamtrees #PAW (Plant And Water)
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
Question in the attachments
Did I do this right? if I didn't get it right can you help me? Thank you!
9514 1404 393
Answer:
work shown is incorrect
Step-by-step explanation:
An equal sign is a sacred symbol. It needs to be treated with respect. The equal sign can only be used legitimately when the expression on one side is actually equal to the expression on the other side.
Here, you seem to have ...
16 -7 = 11 . . . . . FALSE
9 ≠ 11 . . . . . . . . why the equal sign should not be used
So, the inequality you're trying to solve depends on which of the "equal" values you intend.
7 + x < 16 - 7
Subtracting 7 from both sides gives ...
x < 2
This graphs as an open circle at x=2 and shading of the number line to the left from there. See the attachment for the graph.
__
7 + x < 11
Subtracting 7 from both sides gives ...
x < 4
This graphs as an open circle at x=4 and shading of the number line to the left from there. The graph is similar to the one attached, but has the point at x=4 instead of x=2.
__
Your solution
Somehow you have concluded that x < 11. If that is correct, and you want to graph that, you need to draw an open circle at x=11 (not x=12), and shade the number line to the left from that point. A solid dot at x=12 and a line left of that does not represent the inequality x < 11.
A solid dot is used only for the "or equal to" case. You have graphed x ≤ 12.
WILL MARK BRAINLIEST PLS HELP ME
Answer:
c 480 square inches your welcome
(It's Free!!!!)
Enjoy!
The dot plots show 20 scores on two different tests.
What is the difference of the ranges?
A) 20
B) 35
C) 5
D) 10
Answer:
A) 20
Step-by-step explanation:
Test 1:
90-50 = 40
Test 2:
100-40 = 60
Difference:
60-40 = 20
Math escape room level 3 clock help my answers aren’t working. Image included
Answer:
x = 6
Step-by-step explanation:
I'm not sure if it's correct
The 'mean', the 'median' and the 'mode' are all measures of central tendency.
A: True
B: False
Answer: It would be True
Solve the equation 23+n=29 using the inverse operation.
Answer:
n=6
Step-by-step explanation:
i used math-way :P
Pls Help! Which of the following equations represents a line that is parallel to the line y = - x – 16.
A.) 10y + 20 = -5x
B.) -4x + 2y = 16
C.) y + 2x = 8
D.) 3y = 4x + 6
Please do not put a link or i will report you!
Solve for x.
4x + 6
4x + 6
x = [?]
Answer:
21
Step-by-step explanation:
4x+6+4x+6=180
8x+12=180
8x=168
x=21
Answer:
X=21
Step-by-step explanation:
Well since its just a right angle you really gotta only solve for one since their their the same things.
4x+6=90
Solve the equation
x=21
Even if you do the two together with 180, same thing.
Ball thrown straight up
H(x)=64x-16xSquared
How do you find the value of x when the ball reached its maximum height.
Answer:
x = 2
Step-by-step explanation:
H(x) = 64x - 16x²
Find the value of x when the ball reaches its maximum height.
Since the largest degree in this equation is two, this function represents a parabola. We can find the maximum height of the ball at the vertex of the quadratic.
In H(x) = 64x - 16x², rearrange the powers from greatest to least:
a = -16b = 64c = 0Vertex: [-b/2a, f(-b/2a)]
Substitute a and b into the x-value of the vertex: -b/2a.
-(64)/2·(-16) -64/-32 2The vertex of the parabola is at x = 2, with a maximum height of H(2).
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?
Explain please answer
Answer:
69.08
Step-by-step explanation:
2×3.14=6.28
6.28×11=69.08
Find 0% of 60:
Find 100% of 60:
Find 50% of 60:
Find 25% of 60:
Find 75% of 60:
Answer:
Find 0% of 60: 0
Find 100% of 60: 60
Find 50% of 60: 30
Find 25% of 60: 15
Find 75% of 60: 45
Step-by-step explanation:
An event manager recorded the number of people in different age groups that attended a music concert.
A histogram titled Concert Audience is shown. The horizontal axis is labeled Age Group in years with bins 18 to 24, 25 to 31, 32 to 38, and 39 to 45. The vertical axis labeled Number of People with values from 0 to 120 at intervals of 20. The first bin goes to 20, the second goes to 40, the third goes to 120, and the last goes to 80.
Which data table accurately represents the data in the histogram? (5 points)
Age Group Number of People
18−24 80
25−31 120
32−38 40
39−45 20
Age Group Number of People
18−24 20
25−31 60
32−38 180
39−45 260
Age Group Number of People
18−24 260
25−31 180
32−38 60
39−45 20
Age Group Number of People
18−24 20
25−31 40
32−38 120
39−45 80
The data table that accurately represents the histogram is the last table since the information matches the one in the histogram.
How to identify the correct data table?Understand the histogram and in this case the number of people in each category. For example, from 18 to 24, there are 20 people.Compare the information to the data tablesChoose the one that matches.What is the correct data table?The correct option is the last one or:
Age Group Number of People
18−24 2025−31 4032−38 12039−45 80Because only in this one does the data match the one in the histogram.
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A) 120
B) 125
C) 50
D) 100
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
2x1+0x2+3x3=3
4x1-3x2+7x3=5
8x1-9x2+15x3=10
solve the system using Gaussian or Gauss-Jordan elimination
[1] … … 2x₁ + 0x₂ + 3x₃ = 3
[2] … … 4x₁ - 3x₂ + 7x₃ = 5
[3] … … 8x₁ - 9x₂ + 15x₃ = 10
Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :
-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10
-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10
-4x₁ - 6x₃ = -5
[4] … … 4x₁ + 6x₃ = 5
Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :
-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5
-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5
0 = -1
which is a contradiction. This means the system has no solution.