The Torque function is T(t) = 3sin((t-5)π/30).
What is Torque?When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of that twisting force is accessible.
Given:
After 5 minutes Thomas ties it on, the torque is zero and increasing.
So, the sine function is shifted right 5 minutes.
and, The maximum value is 3.
Then, the multiplier of the sine function as the period is 60 minutes
Then, the coefficient of t = (2π/60)
= π/30.
Hence, the Torque function is T(t) = 3sin((t-5)π/30).
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Which number represents the probability of an event that is very likely to occur?
A. O 0.09
B. O 0.12
C. O 0.3
D. O 0.95
Answer:
D
Step-by-step explanation:
higher amount then the rest
" El ingreso mensual de una empresa está dado por la siguiente ecuación: (0,2) 10000(0,95) p I , dondep es la cantidad gastada en publicidad:a) ¿Cuál es el ingreso total, cuando no se tienen gastos publicitarios?b) ¿Cuál es el valor del ingreso total, si $ 15 es el gasto mensual en promoción?"
Respuesta:
Ingresos = 9500
Ingresos = 8573,75
Explicación paso a paso:
La ecuacion:
Yo = 10000 (0,95) ^ (0,2) p
p = monto gastado en publicidad
Los ingresos totales cuando no hay gastos:
p = 0
Yo = 10000 (0,95) ^ (0,2) * 0
Yo = 10000 (0,95) ^ 0
Yo = 10000 (0,95)
Yo = 9500
Si el gasto mensual de la promoción es de $ 15
p = $ 15
Yo = 10000 (0,95) ^ (0,2) * 15
Yo = 10000 (0,95) ^ 3
Yo = 10000 (0,857375)
Yo = 8573,75
you have five dollar bills and ten dollars bills for a total amount of $325. you have a total of 37 bills. A) write a system of linear equations that models the situation. B) how many of each type of bill do you have?
Answer:
nine $5 bills and twenty-eight $10 bills
Step-by-step explanation:
f = # of five dollar bills
t = # of ten dollar bills
system of equations:
t + f = 37
10t + 5f = 325
solve the first equation for 't' to get:
t = 37-f
substitute '37-f' to 't' in second equation to get:
10(37-f) + 5f = 325
370 - 10f + 5f = 325
-5f = -45
f = 9
t + 9 = 37
t = 28
five fifth-grade teachers and six fourth-grade teachers ordered 2 large pizzas all together how much will each person need to pay.
Answer:
$5.50
Step-by-step explanation:
5+6= 11
11/2
Convert the following decimal to fraction 3.04
Answer:
3 1/25
Step-by-step explanation:
3.04
Do the decimal part first
.04 = 4/100
Reduce - cancel out 4
1/25
Put back the whole number
3 1/25
Answer:
3 [tex]\frac{1}{25}[/tex]
Step-by-step explanation:
I agree with the previous answer :
You need to do it part by part.
0.04 is equal to [tex]\frac{4}{100}[/tex]
[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =
[tex]\frac{1}{25}[/tex]
And we still have those 3 wholes that we had in the beginning.
Now we add.
3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]
which of the following exponential functions represents the graph below?
Answer:
D
Step-by-step explanation:
We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,
5 * 3^(0) = 5
3 * 5^(0) = 3
5 * (1/3)^(0) = 5
3 * (1/5) ^ (0) = 3
Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that
3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.
* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5
someone please explain this question PART "b) i" ONLY!!!
This is because we have a list of perfect squares 0,1,4,9,...
We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.
In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.
You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".
All of this only applies to sequence A.
side note: n is some positive whole number.
HELP ME PLS- math question
Answer:
x+2x+90 =180
3x =180
x =60
x=2y
2y=60
y=30
2y +z =180
z =180-60
. z =120
For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge is at least $30. What is the minimum number of hours for a babysitting job she would accept?
2 and one-half hours
3 hours
4 hours
4 and one-half hours
Answer:
3 hours
Step-by-step explanation:
Let Tamar did the job for x hours,
Since, her charges for 1 hour = $ 8,
⇒ Her charge for x hours = 8x,
Also, the bus fare = $ 6,
hence, her total charge = Bus fare + Her charges for x hours
= 6 + 8x,
If the total charge is at least $30,
⇒ 6 + 8x ≥ 30
⇒ 8x ≥ 24
⇒ x ≥ 3
Thus, the minimum number of hours for a babysitting job she would accept = 3 hours
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
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The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.
Given:
Two rectangles are similar.
Length of first rectangle = 18 cm
Width of first rectangle = 6 cm
Width of second rectangle = 2 cm
To find:
The length of the second rectangle.
Solution:
We know that the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}[/tex]
Let x be the length of the second rectangle. Then,
[tex]\dfrac{18}{6}=\dfrac{x}{2}[/tex]
[tex]3=\dfrac{x}{2}[/tex]
[tex]3\times 2=x[/tex]
[tex]6=x[/tex]
Therefore, the length of the second rectangle is 6 cm.
someone help!!!!!!!!
Answer:
Top right
Step-by-step explanation:
First, we have "h is increasing on the interval (3, +∞)." This means that h must be increasing for all values 3 and higher. This is shown on the top left, top right, and bottom right graphs because when x goes up on each of them, the function increases as well. However, for the bottom left graph, this is not shown because as x goes from 3 to 4, the function decreases.
Next, the statement given is "h(4)=2". This means that when the x value is 4, the y value is equal to 2. This is true for the top left and top right pictures. However, for the bottom right, as the x value is 4 on the x axis, the corresponding y value is 1, not 2.
This leaves us with the top left and top right. The final characteristic given is "The domain of h is [3, +∞). This means that the x values of said function only go from 3 to infinity. As the top left graph has values of x below 3, this leaves the top right graph as h
Someone help me with this please!
Answer: y=40
Step-by-step explanation: 70-30=40
Which of the following is equivalent to (16^3/2)^1/2
6
8
12
64
According to exponent rules, when we multiply two power with the same base we _______ the exponents. Example: c^6⋅ c^4
Answer:
Step-by-step explanation:
According to exponent rules, when we multiply two power with the same base we ADD the exponents.
[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]
what is the common difference for this arthimitic sequence? -8, -13, -18, -23
a. 5
b. -5
c. -28
d. -21
can someone help me i dont understand
Answer:
8900000 * 10^-3
Step-by-step explanation:
(8.9*10^-3)/(10^-6)
(8.9*10^-3)/(1/1000000)
8.9*10^-3* 1000000
8900000 * 10^-3
pls help in this
7.6x5.2
Answer:
39.52
Step-by-step explanation:
Answer:
Table multiplication:
7.6 times
5.2 =
15.2
38.0
—-
39.52
2 to the negative 3 power times how much is 2 to the negative 1 power? Does the answer match your answer from question 3b? Why or why not?
Answer: 2^-3 = 1/8
2^-1 = 1/2
you have to multiply 2^-3 by 4 to get to 2^-1
Step-by-step explanation:
Solve the system of equations: y=x-3. y=x^2+2x-4
Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.
Answer:
I think you will collect like terms
Answer:
D. Add 8x to both sides of the inequality
plZ tell the answer fast
thank u
Evaluate using a suitable identity: (997)³
Answer:991026973
Step-by-step explanation:Given:
(997)³
To solve this using an appropriate identity;
i. Rewrite by splitting the value in bracket (997) into a difference of two numbers. i.e
(997)³ = (1000 - 3)³
ii. Use the appropriate identity
Since the split from (i) above gave a cube of the difference of two numbers, we can apply the following identity for finding the cube of the difference of two numbers;
(a - b)³ = a³ - b³ - 3ab(a - b)
In this case;
a = 1000
b = 3
(iii) Substitute the values of a and b into the identity equation and solve;
(1000 - 3)³ = 1000³ - 3³ - 3(1000)(3)(1000 - 3)
(1000 - 3)³ = 1000000000 - 27 - 9000(997)
(1000 - 3)³ = 1000000000 - 27 - 8973000
(1000 - 3)³ = 991026973
Therefore,
(997)³ = 991026973
Brainiest will be given . Please help me
Answer:
If the shape of end face has n sides
Then, in total, there are n+2 faces
Using that formula
Faces in 20-sided polygon = n+2 = 20+2 = 22
Step-by-step explanation:
Pls vote as brainliest
Jodi has two bank accounts. Her parents started Account A for her. It currently has $100 in it, and Jodi deposits $20 into it each month. Jodi's grandparents started Account B for her. It currently has $300 in it, and her grandparents deposit $40 into it each month.
Answer:
(f+g)(x) = 60x + 400
Step-by-step explanation:
Given :
Amount in account A:
f(x) = 20x + 100
Amount in account B :
g(x) = 40x + 300
Total amount in Account A and B:
f(x) + g(x) = (20x + 100) + (40x + 300)
(f+g)(x) = (20x + 40x) + (100 + 300)
(f+g)(x) = 60x + 400
In the diagram below of triangle PQS, S is the midpoint of PR and T is the midpoint of QR. If ST = 5x - 22, and PQ = 3x + 19, what is the measurement of PQ?
Answer:
PQ = 46
Step-by-step explanation:
The midsegment ST is half the length of the third side PQ , that is
ST = [tex]\frac{1}{2}[/tex] PQ , so
5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction
10x - 44 = 3x + 19 ( subtract 3x from both sides )
7x - 44 = 19 ( add 44 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
Then
PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46
In the circle below, segment AB is a diameter. If the length of arc ACB is 6pi what is the length of the radius of the circle?
Answer:
12
Step-by-step explanation:
Length of the radius of the circle is equals to 6units.
What is length of the arc?" Length of the arc is defined as the distance between two point as a part of the circumference of the given curve."
Formula used
Length of the arc = rθ
r = radius of the circle
θ = central angle
Radius = [tex]\frac{diameter}{2}[/tex]
According to the question,
Given,
Diameter = AB
Length of the arc = 6pi
Here central angle formed with diameter 'θ' = 180°
= [tex]\pi[/tex]
Substitute the value in the length of the arc formula we get,
[tex]6\pi = r \pi[/tex]
⇒ [tex]r = 6units[/tex]
Hence, length of the radius of the circle is equals to 6units.
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Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.
The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
3
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
m = 12, f = 3
So, there are 12 multiple-choice questions on the test.
and angle is 21 more than twice its complement find it
Answer:
angle = 67°
Step-by-step explanation:
let
a = angle in degrees
(90-a) = complement
given
a = 2(90-a)+21
Solve for a
a = 180 - 2a + 21
3a = 201
a = 67°
American Airlines sold a certain number of tickets from Los Angeles to the bay island in Honduras. They charged $120 for flight x and the remaining tickets for $280 for flight y. If the airline sold 59 tickets and collected a total of $12,520 from the sale of those tickets. A) how many tickets of each flight were sold. B) how much money was made from each flight?
Answer:
y =34
x = 25
Money made from flight x = 3000
Money made from flight y = 9520
Step-by-step explanation:
Tickets sold
59= x+y
Amount of money
120x + 280y = 12520
Using substitution
x = 59-y
120( 59-y) + 280y = 12520
7080 - 120y +280y = 12520
Combine like terms
160y +7080 = 12520
Subtract 7080
160y = 12520-7080
160y =5440
Divide by 160
160y/160 = 5440/160
y =34
Now find x x = 59-y = 59-34 =25
x = 25
Money made from flight x =
120*x = 120*25 =3000
Money made from flight y =
280*y= 280*34=9520
What is the value of x, if the volume of the cone is 12mm?
5 m
6 m
U
04 m
0 10 m
06 m
8
05 m
Answer:
V=1/3 pie r^2h (Formula)12×22/7=1/3×22/7×3^2×hEliminate 22/712=(9×h)/3Make "h" the subject of the equation h=36/9h=4mAnswer:
1. B 130 2/3ft^3
2. B 226 in^3
3. B 33 cm^3
4. A 4 m
5. D 15m
Step-by-step explanation:
I got a 100! For connexus students, hope this helps!!
Which transformations could have occurred to map
AABC to AA"B"C?
O a rotation and a reflection
O a translation and a dilation
O a reflection and a dilation
O a dilation and a rotation
The transformations that could map ABC to A"B"C" are: (d) a dilation and a rotation
From the figure, we have the following highlights:
Triangle A"B"C is smaller than triangle ABCThe side lengths of both triangles are in equivalent ratioTriangle ABC is rotated about point C to form triangle A"B"CThe above highlights mean that:
The transformations that could map ABC to A"B"C" are dilation and rotation
Hence, option (d) is true
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