Answer:
4/5 or .8
Step-by-step explanation:
A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor. He grabs the only red peg on the circumference of the wheel, which is 1.5 m above the floor (the peg is) and pushes it downward. The peg reaches a min height of 0.25 m and a max height of 2.75 m above the floor. Sketch two cycles of the graph representing the height above the ground as a function of the total distance moved. Then determine the equation of the sine function
The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]
The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.
So, the amplitude is:
[tex]\mathbf{A = 1.5 - 2.75}[/tex]
[tex]\mathbf{A = -1.25}[/tex]
The vertical shift is the minimum height of the peg.
So, we have:
[tex]\mathbf{D = 0.25}[/tex]
The period (T) equals one circumference.
So, we have:
[tex]\mathbf{T = (max-min)\pi}[/tex]
This gives
[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]
[tex]\mathbf{T = 2.5\pi}[/tex]
The frequency (B) is then calculated as:
[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]
This gives
[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]
Divide
[tex]\mathbf{B = 0.8}[/tex]
A sine function is represented as:
[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]
Substitute the calculated values
[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]
The horizontal shift (C) is 0.
So, the function becomes
[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]
See attachment for the graph of the equation
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Pls help Ive been here since nine this morning...
f(x)=4.5x^2-3x+2
fine the horizontal tangent line
Answer:
x = 13
Step-by-step explanation:
Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.
Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.
f ′ (x) = d (4.5 x 2 − 3 x + 2)
______
d x
Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3
To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}
Therefore, the tangent line to f(x) is horizontal at the point x = 13
Hope this helps, have a nice day/night! :D
Which of the following are cube numbers. select all that apply
8/9
27
30
8/27
1/27
27/64
64
1/9
Answer:
Step-by-step explanation:
8/9 8 is a cube but 9 is not. 8/9 is not a cube
27 27 = 3^3, a perfect cube
30 Not a cube
8/27 Both 8 and 27 are perfect cubes, and so 8/27 is one also.
1/27 This is equivalent to 1^3 / 3^3 and is a perfect cube.
27/64 Both 27 and 64 are perfect cubes, so 27/64 is one also
64 64 = 4^3, a perfect cube
1/9 9 is not a cube, so 1/9 is not one either.
Write an exponential equation in the form y = ab^x whose graph passes through points (1,0.84) and (2,1.008)
Answer:
y = 0.7 * 1.2^x
Step-by-step explanation:
(1, 0.84)
0.84 = ab^1
(2, 1.008)
1.008 = ab^2
-------------------------
To find b divide the second point by the first
ab^2 / ab^1 = 1.008 / 0.84
b = 1.2
----------------------
To find a plug b = 1.2 into the first point
0.84 = a * 1.2^1
0.84 = a * 1.2
Divide both sides by 1.2
0.7 = a
------------------------
The equation is
y = 0.7 * 1.2^x
Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)
Answer:
the answer is Equal to zero
Step-by-step explanation:
hope it's help correct me if I'm wrong <3
Answer:
≥0
Step-by-step explanation:
This one may seem tricky. The denominator is ALWAYS one more than the numerator. So, let's take a look at some examples.
-2/-1
This is >0. And even if you keep going to a number as high as -10000/-9999, it will ALWAYS be >0.
0/1
Hmm...this one is equal to 0. Seems like we have ≥0 right now.
2/3
>0, right? Well, since we have expression ≥0, that's your answer!
Hope it helps!
If correct I’ll give you brainly
Answer:
0.4*0.5=0.2
Step-by-step explanation:
each shaded area is 10 by something, so we can assume this model is representing decimals
the other sides are 4 and 5, and it is in 10, so it is 0.4*0.5
0.4*0.5=0.2
What is the opposite of 3√ ?
13√
−3√
−32
3²
Answer:
D or B
Step-by-step explanation:
Determine the y-intercept of the graph.
Answer:
Your y intercept is 1.
Step-by-step explanation:
slope is y2-y1 over x2-x1, or 2.
slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b
and if you solve that, 2x1=2, 3-2=1.
then you get 1 as your y intercept.
evaluate the expression when c=4and d=6
36/c +d
Answer:
15
Step-by-step explanation:
36/c + d = 36/4 + 6 = 9 + 6 = 15
Can somebody help me with this question? (Calculus)
Answer:
y -5 = 4(x -2)
Step-by-step explanation:
The derivative of the function tells you the slope of the line at the point of tangency.
f'(x) = 2x
f'(2) = 4
Then the point-slope equation of the tangent is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -5 = 4(x -2) . . . . . tangent line with slope 4 through tangent point (2, 5)
y(a -b) =c(y+ a); y
Answer:
y = ac / (a - b - c)
Step-by-step explanation:
y(a - b) = c(y + a)
Distribute
ay - by = cy + ac
Subtract cy from both sides
ay - by - cy = ac
Factor out y
y(a - b - c) = ac
Divide both sides by (a - b - c)
y = ac / (a - b - c)
The mass of a tin of paint is 890 grams, correct to the nearest 10 grams. Workout the upper bound of the total mass of 10 tins of paint.
Answer:
8900
Step-by-step explanation: :þ
Find the value of x 47 and 22
Answer:
111
Step-by-step explanation:
U calculate the 47°&22°and u cut 69° then u put 180-69=111°
Evaluate.
−[−1 2/5÷0.7(1.8)]−2/3
What is the value of the expression?
Enter your answer as a simplified mixed number in the box.
Answer: the answer is 2 14/15
Step-by-step explanation:
The solution of the expressions will be 0.44.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The expressions are,
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
Now,
Solve the expression as;
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
Using the BODMAS rule to solve the expressions as;
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
⇒ −[−1 2/5 ÷ 1.26 ] − 2/3
⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3
⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3
⇒ - [ - 7 / 6.3 ] - 2/3
⇒ 1.1 - 2/3
⇒ 1.1 - 0.66
⇒ 0.44
Therefore,
The solution of the expressions will be 0.44.
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someone help me please :D ill give brainliest and 32 points :))
Answer:
Could you please show me the question?
Step-by-step explanation:
Rewrite in simplest terms: -5(3u+1)+10u−5(3u+1)+10u
Answer:
-10u-10
Step-by-step explanation:
Heyy , help me do this please and thank you?:
Answer: 18 fliers
Step-by-step explanation:
1/3 of 63 is 21. Thus, the remaining fliers are 42.
4/7 of 42 is 24. Thus, the remaining fliers are now 18.
Hope it helps :)
(5.4*10^2)-(1.3*10^4)
answer in a*b form
Answer:
-1.24*10^4
Step-by-step explanation:
Firstly observe the Digit term of the given operation under scientific notation. and now we are left with the 10th exponents which involves the basics of 10^a - 10^b = 10^a/b and so according to this rule...we have 10^2/10^4 which results in 10^-2
and thus we have −12460 = -1.24*10^4
Work out the size of angle x
Answer:
Opposite angles are equal
Corresponding angles are equal
Angles on straight lines adds to 180
Angles in triangle adds to 180
180-98=82
82+85=167
180-167=13
Answer is 13
How would the number of solutions for an equation with two variables differ from the number of solutions for an equation with only one?
Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions
Step-by-step explanation:
brainliest me
write a equation of the line that goes through the points (-2,-4) (0,6)
Answer:
323563
Step-by-step explanation:
Hello there!
To find the slope, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{6-(-4)}{0-2} \\\frac{6+4}{-2} \\\frac{10}{-2} \\-5[/tex]
So the slope is -5.
Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
Can anyone tell me the answer to this please?
Answer:
-4x + 2
Step-by-step explanation:
The outputs are decreasing by 4, so -4 is the slope, the coefficient for x.
The y- intercept is 2 because when x is zero, y is 2. You can find the y-intercept by adding 4 to -2, the output for when x is 1.
Answer:
y = -4x + 2
Step-by-step explanation:
First find the slope using this equation ....
y2 - y1/x2 - x2 =
plug in two ordered pairs (doesn't matter which one) ....
-2 - (-6)/1 - 2 =
-2 + 6/-1 =
4/-1 = -4
The slope is -4. The next blank is the y-intercept (0,y) ....
y = -4x + b
plug in any ordered pair ....
-2 = -4(1) + b
-2 = -4 + b
+4 +4
2 = b
Put it all together ....
y = -4x + 2
Hello everyone! I have to do this HW assignment and I have no idea how to do this and what the answer is. Please help ASAP!
Answer:
D) 16
Step-by-step explanation:
Find out the what is the constant of proportionality .
To prove
As given
A recipe says to use 3 cups of flour to make 48 cookies.
the number of cookies made, y, to the number of cups of flour used,x .
Then
y = kx
Where k is the constant of proportionality.
48/3k
k=16
Please help with proportional relationships!!! (Photos)
(determine whether the quantities on each table represent a proportional relationship if yes, give the constant rate) pls explain!!
Answer:
yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22
Answer: 22
Step-by-step explanation: 1/4a + 1/3a + 8 = 22
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
place the decimal point in the product
1. 6.17×8.2=50594
2. 24.01×8.51=2043251
3. 8.94×5.27=471138
Answer:
Step-by-step explanation:
50.594
204.3251
47.1138
PLS HELP ALSO CHECK OUT MY LAST QUESTIONEACH ONE IS 20 POINTS!!!!
a scuba diver descended at a rate of 2 1/4 feet per second. I f 0 reprasents the serface of the water and distance below the serface is negative, which expression reprasents one way to calculate the location of the diver after 12 have a half (12 1/2) seconds?
A. 12 1/2 - 2 1/4
B. 12 1/2 + 2 1/2
C. 12 1/2 x 2 1/2
D. 12 1/2 x (-2 1/4)
Answer:
D
Step-by-step explanation:
Non of the other answers have negatives in them. And you would solve with multipliation.
It's D. Look at the one above me.
PLZ HELP ITS TIMED AND IM STUCK
3. option d
2. option a
5. option f
Solve pls brainliest
Answer:
$13.80
Step-by-step explanation:
69 · 20% = 13.8
Tim Worker wants to purchase an automobile warranty costing $6,659.
If he chooses to make 48 equal payments, then in dollars and cents the average payment will be $_____
From the given information, the amount that will be paid averagely each month will be $138.73.
From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.
Therefore, the amount that will be paid each month will be calculated thus:
= $6,659 / 48
= $138.73
The amount will be $138.73.
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