Simplify (-2x^3)^2 •y•y^9 Answer 4x^6y^10
What type of probability distribution will most likely be used to analyze the number of blue chocolate chips per bag in the following problem? The quality control manager of a candy plant is inspecting a batch of chocolate chip bags. When the production process is in control, the average number of blue chocolate chips per bag is 6.0. The manager is interested in analyzing the probability that any particular bag being inspected has fewer than 5.0 blue chocolate chips.
binomial distribution
When the production process is in control, the mean number of blue chocolate chips per bag is 6.0. The manager is interested in analyzing the probability that any particular bag being inspected has fewer than 5.0 blue chocolate chips. a) binomial distribution.
What’s the correct answer for this?
ANSWER: D
Isosceles Right Triangle has 3 angles: 90 degrees, 45 degrees and 45 degrees
Answer:
D
Step-by-step explanation:
It is isosceles (having two sides and angles congruent) and it is right will provide enough information to find all the angles of the triangles.
Question
A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the
glven angular velocity? How far will it travel in that time? Round to the nearest tenth.
180°; 2 rev/sec
The coin will take
sec to roll 180° and travels approximately
mm.
Answer:
the time is 1.57 sec and the distance is 49.32mm
Step-by-step explanation:
Given that,
The angle is 180°
Angular velocity is 2rev/sec
The radius is 10mm
we are to find the time and distance traveled at that time
The formula is
θ = at
where t is the time,
a is the angular velocity
θ is angle in radian
so,
θ = 180° × π/180°
θ = π
= 3.14
Hence ,
θ = at
3.14 = 2t
t = 1.57sec
let the distance be xmm
[tex]\frac{1.57 \times 180^0}{360} = \frac{x}{20 \pi} \\\\0.785 = \frac{x}{20 \pi} \\\\x = 49.32mm[/tex]
Therefore , the time is 1.57 sec and the distance is 49.32mm
Answer:
a) 0.25 s
b) 15.71 mm
Step-by-step explanation:
Given:-
- The radius of the coin, r = 10 mm
- The angle swept by the coin, θ = 180°
- The frequency of ration of the coin, f = 2 rev /s
Find:-
How long will it take the coin to roll through the given angle measure at the
given angular velocity?
How far will it travel in that time?
Solution:-
- We will first determine the angular speed ( ω ) of the coin. That is the rate of change of angle swept. Mathematically expressed as:
ω = dθ / dt = 2*π*f
- Separate the variables:
dθ = 2*π*f . dt
- Integrate both sides.
∫dθ = 2*π*f ∫ dt
θ = 2*π*f*t
- The time taken to sweep an angle of ( θ ) is:
t = θ / 2*π*f
Where, θ is in radians. 180° = π radians
- Plug in the values:
t = π / 2*π*( 2 )
t = 1 / 4 = 0.25 s ... Answer
- The tangential speed (v) of any point on the circumference of a coin is. Considering only rolling motion of the coin:
v = r*ω = 2*r*π*f
- The velocity of the any point on the rolling coin circumference would be:
v = 2*(10)*π*(2)
v = 40π mm/s
- Since we are considering the coin as a rigid body and not a point mass. We have to determine the velocity of the center of mass of the coin ( Vcm ).
- Consider a coin as a circle. The point of contact of the between the circle ( coin ) is called the center of instantaneous velocity.
- Then mark two horizontal velocity vectors. One starts at the center of mass of the coin ( pointing right ): Denote this as the velocity of center of mass ( Vcm ).
- Other one starts from top most point lying on the circumference of the circle, this vector should be longer than the one made at center of mass (pointing right ): Denote this as the tangential velocity ( v ).
- Now joint the heads of two vectors ( v and Vcm ) with the center of instantaneous velocity ( contact between coin and surface ). Now make a vertical line that starts the top most point passing through center of mass and ends at the center of instantaneous velocity.
- We will end up with two similar triangles. We will use the law of similar triangle and determine the velocity of center of mass ( Vcm ):
2r / r = v / Vcm
Vcm = v / 2
- Evaluate the velocity of center of mass ( Vcm ):
Vcm = 40π / 2
Vcm = 20π mm/s
- Use the distance-speed-time relationship and determine how far the coin travelled ( s ) in the computed time in part a:
s = Vcm*t
s = 20π*0.25
s = 5π = 15.70796 mm
Answer: The distance travelled by the coin in the time interval of 0.25 seconds is 15.71 mm ( rounded to nearest tenth )
A 5000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $153 comma 200?
Answer:
Let's denote:
x: number of ticket 28$
y: number of ticket 40$
Then, we have:
x + y =5000
28x + 40y = 153200
=> 28(5000 - y) + 40y = 153200
=> 12y = 153200 - 140000
=> 12y =13200
=> y = 1100 (ticket 40$)
=> x = 5000 - 1100 = 3900 (ticket 28$)
Jenny is 34 years old. Two years ago, she was twice as old as her cousin. How old is her cousin now?
Answer:
18
Step-by-step explanation:
Two years ago, she was 32. One half of 32 is 16 Her cousin was 16 two years ago 16 plus 2 = 18 Her cousin is now 18
34 - 2 = 32
32/2 = 16
16 + 2 = 18
Answer = 18
Answer:
18
Step-by-step explanation:
2 years ago she was 32. Since she was twice as old, you will divide 32 by two which will give you 16. You will then add 2 since that was two years ago which will give you 18.
Given f(x)=4x^2-5x+3 and g(x)=2x-7, what is f(x)+g(x) ?
Answer:
Step-by-step explanation:
4x^2 - 5x + 3 + 2x - 7
4x^2 - 3x - 4
A square and rectangle have the same perimeter.
The rectangle is 13 cm long and 7 cm wide What is the length of a side of the square
The length of a side of the square is 10 cm.
What is a length?Length is defined as the measurement or extent of something from end to end.
The perimeter of rectangle is obtained using the formula
perimeter = 2(length+width)
Perimeter of square is obtained using the formula
perimeter = 4(length of one side)
Length of rectangle is 13 cm.
Width of rectangle is 7 cm.
Then the perimeter of rectangle is obtained as
perimeter = 2(length+width) = 2(13+7) = 2*20=40
Perimeter of square is
perimeter = 4(length of one side) = 40
Therefore, length of one side is 10 cm.
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Solve for d.
2d + 4 = 10 + 5d
Answer:
d = -2
Step-by-step explanation:
2d - 5d = -3d
10 - 4 = 6
-3d = 6
d = -2
Kono Dio Da!!!
Answer:
-2
Step-by-step explanation:
Subtract 2d to both side of the equal sign. The 2ds cancel out and the 5d becomes a 3D.
Then subtract 10 to both sides to get -6.
The you divide -6 by 3. To get -2
Hope this helps
Please mark me as Brainliest
Determine the intercepts of the line. y=6x+13y=6x+13
Answer:
x-intercept: -13/6
y-intercept: 13
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityCoordinate Planes
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis. The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.Slope-Intercept Form: y = mx + b
m - slope b - y-interceptTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
y = 6x + 13
Step 2: Find y-intercept
Compare given equation to slope-intercept form.
y = 6x + 13 ↔ y = mx + b
Slope m = 6
y-intercept b = 13
Step 3: Find x-intercept
Substitute y = 0.
Substitute in y [Equation]: 0 = 6x + 13[Subtraction Property of Equality] Subtract 13 on both sides: -13 = 6x[Division Property of Equality] Divide 6 on both sides: -13/6 = xRewrite: x = -13/6The picture shows a cement bag of weight Fg hanging from a rope which itself is supported by two other ropes attached to a ceiling. The latter two ropes make an angle θ1 and θ2 with the ceiling. Determine the tension in each rope. Use the angle addition identity to simplify your result: sin(α ± β) = sin α cos β ± cos α sin β
Answer:
[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]
Step-by-step explanation:
From the free body diagram attached below; we will see that
T₃ = Fg ------ (1)
Thus; as the system is in equilibrium, the net force in the x and y direction shows to be zero
Then;
[tex]\sum F_x= 0 \to T_2 Cos \theta _2 - T_1 cos \theta _1[/tex]
[tex]T_2 Cos \theta _2 = T_1 cos \theta _1 \ \ \ \ \ - - - (2)[/tex]
Also;
[tex]\sum F_y =0 \to T_2sin \theta_2+T_1sin \theta_1 - T_3 = 0[/tex]
[tex]T_3 = T_2sin \theta_2+T_1sin \theta_1[/tex] ---- (3)
From equation (2):
[tex]T_2 = \dfrac{T_1cos \theta_1}{cos \theta_2}[/tex]
Replacing the above value for T₂ into equation 3; we have
[tex]T_3 = \dfrac{T_1cos \theta_1}{cos \theta_2}sin \theta_2+T_1sin \theta_1[/tex]
[tex]T_3 cos \theta_2 = {T_1cos \theta_1}{}sin \theta_2+T_1sin \theta_1 cos \theta_2[/tex]
[tex]T_3 cos \theta_2 = T_1(cos \theta_1 sin \theta_2+sin \theta_1 cos \theta_2)[/tex] ---- (4)
Using trigonometric identity Sin (A+B) = SIn A cos B + Cos A sin B
So ; equation 4 can now be:
[tex]T_3 cos \theta_2 = T_1sin(\theta _1 + \theta_2)[/tex] --- (5)
replacing equation (1) into equation (5) ; we have:
[tex]F_g}cos \theta_2 =T_1 sin (\theta_1+\theta_2)[/tex]
Hence; the tension in the string is:
[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]
Liv hizo un ponche al mezclar 2,8 litros de jugo de naranja, 0,75 litros de jugo de piña y 1,2 litros de ginger ale. Liv dividirá el golpe en partes iguales entre 5 contenedores. ¿Cuánto golpe habrá en cada contenedor?
The exponential function h, whose graph is given below, can be written as
h(x) = a * b^x
Complete the equation for h(x)
Answer:
here
Step-by-step explanation:
How much food can this container hold 3in 9in
Answer:
27
Step-by-step explanation:
Answer:
18Πin3
Step-by-step explanation:
Help?? I'll make you the brainliest
Answer:
72
Step-by-step explanation:
hope you like that
Which would neatly fill the gap in the prism shown below? Check all that apply.
3
2
21 / 2
6 blocks each measuring 5x1x1
12 blocks each measuring 3 x1x1
6 blocks each measuring 5x1x1
Answer:
b, d
Step-by-step explanation:
(12 blocks each measuring One-fourth times 1 times 1)(6 blocks each measuring One-half times 1 times 1)finished the exam review and was correct (sorry for the late response)
The gap would be filled in the prism shown below as 12 blocks each measuring One-fourth times 1 x 1. 6 blocks each measuring One-half times 1 x 1.
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is the same as its base, then its volume is:
[tex]V = B \times h[/tex]
where h is the height of that prism and B is the area of the base of that prism.
The block has a volume of 2 x 5/2.
The remaining part of the block is filled by
12 blocks each measuring One-fourth times 1 x 1.
6 blocks each measuring One-half times 1 x 1.
Learn more about the volume of a prism here:
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Brittany Monroe is a legal secretary. Her biweekly salary is $1,650.00 what is her annual salary?
Answer:
$42,900 a year
Step-by-step explanation:
so there are 26 bi-weeks in a year. (fun fact)
you take $1,650 and multiply that biweekly to get her annual salary.
1650*26=42,900
Please help which should I choose
Reasoning:
If it is at all possible to draw a single vertical line through more than one point on the curve, then the graph is not a function. With graphs (2), (3) and (4), we can draw a vertical line through more than one point on those curves, so they aren't functions. Graph (1) is the only thing left. This graph is a function because it is not possible to draw a single vertical line through more than one point. It passes the vertical line test. Any input (x) leads to exactly one and only one y output.
Nice work on getting the correct answer when you chose "graph (1)".
Classify each representation shown below as either linear or exponential.
x y
0 5
1 7.5
2 11.25
y = 2x + 4
One person sends an email to 2 people. Those 2 people send it to 4 people, and those 4 send it to 8 people.
1. Exponential
2. Linear
3. Exponential
749÷7 using partial quotients
Answer:107
Step-by-step explanation:
749 ➗ 7=107
The sum of five consecutive integers is 70. What are the numbers?
Answer: The numbers are 12, 13, 14, 15, and 16.
Step-by-step explanation:
Write an algebraic equation.
x + (x+1) + (x+2) + (x+3) + (x+4) = 70
5x + 10 = 70
subtract 10 from both sides
5x = 60
divide each side by 5
x = 12
The numbers are 12, 13, 14, 15, and 16.
Answer:
12 to 16 :) hope it helped
Divide the decimal 122.4 by 9
( 122.4÷9)
Answer:13.6
Step-by-step explanation:
122.4 ➗ 9=13.6
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
A horizontal translation will move the first triangle a little to the right and then after the vertical translation the triangle will move downwards and will fit into the other triangle thus we will know that the two triangles are congruent.
How many fish a are in the box
Answer:
Where is the box?
Step-by-step explanation:
So I can help you
how do u solve 4p - 40 = 7(-2p + 2) ?
Answer:
Simplifying
4p + -40 = 7(2p + 2)
Reorder the terms:
-40 + 4p = 7(2p + 2)
Reorder the terms:
-40 + 4p = 7(2 + 2p)
-40 + 4p = (2 * 7 + 2p * 7)
-40 + 4p = (14 + 14p)
Solving
-40 + 4p = 14 + 14p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-14p' to each side of the equation.
-40 + 4p + -14p = 14 + 14p + -14p
Combine like terms: 4p + -14p = -10p
-40 + -10p = 14 + 14p + -14p
Combine like terms: 14p + -14p = 0
-40 + -10p = 14 + 0
-40 + -10p = 14
Add '40' to each side of the equation.
-40 + 40 + -10p = 14 + 40
Combine like terms: -40 + 40 = 0
0 + -10p = 14 + 40
-10p = 14 + 40
Combine like terms: 14 + 40 = 54
-10p = 54
Divide each side by '-10'.
p = -5.4
Simplifying
p = -5.4
Step-by-step explanation:
brainliest????
Answer:
p=3
Step-by-step explanation:
4p-40=7(-2p+2)
4p-40=-14p+14
-40=-18p+14
-54=-18p
p=3
You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
How many solutions does the system have?
8x+ 2y = 14
8x + 2y = 4
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions
Answer:
No solutions
Step-by-step explanation:
Subtract the two equations
8x+ 2y = 14
-8x - 2y =- 4
----------------------------
0 = 10
This is never true so there are no solutions
Answer:
No solutions
Step-by-step explanation:
I just did it on khan.
Theater tickets cost $16 for general admission or $9 with a student ID.
Total ticket sales for a certain showing was $4983. Write an equation
in standard form that shows the possible number of general
admission tickets, x, and student tickets, y, that were sold. Then, find
the total number of student tickets sold if 240 were general
admission tickets.
Answer:
127 student tickets
Step-by-step explanation:
16x + 9y = 4983
x = 240, so substitute that in.
16(240) + 9y = 4983
3840 + 9y = 4983, substract 3840 from both sides
9y = 1143, then divide both sides by 9
y = 127 student tickets
Answer: 16x + 9y = 4983
240 general admission tickets and 127 student tickets
Step-by-step explanation: If you already know that there are 240 general admission tickets and general admission tickets cost 16 dollars the multiply 16 times 240 to get 3840
then subtract 4983 - 3840 to get 1143 which is the money earned on students so now divide 1143 by 9 to get 127
hope this helps mark me brainliest if it did
What is the surface area of the triangular prism?
Triangular prism
a
152 square feet
b
172 square feet
c
252 square feet
d
264 square feet
Answer:
Option c. 252 square feet
Step-by-step explanation:
This question does not have figure, please find the figure attached below.
Area of the triangular sides = [tex]2(\frac{1}{2}\times bh)[/tex]
= [tex]2(\frac{1}{2}\times 3\times 4)[/tex]
= 2(6)
= 12 feet²
Area of the rectangular base = A = b × h
= 20 × 3
= 60 feet²
Area of the lateral side = 20 × 5
= 100 feet²
Area of the vertical rectangular side = 20 × 4
= 80 feet²
Total surface area = 12 + 60 + 100 + 80
= 252 feet²
Total surface area of the triangular prism is 252 square feet.
Tate is paid $17.35 per hour with time and a half overtime. What will his gross pay period in which he worked 35 hours one week and 44 hours next week for a total 79 hours?
Answer:
The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.
Step-by-step explanation: this is your answer plz rate e the most brainlest
75, 88, 90, 96, 98, 100
Which box plot represents this data?
Answer:
Graph A
Step-by-step explanation:
75, 88, 90, 96, 98, 100
The lowest is 75 and the highest is 100 so there should be dots there
The median is between 90 and 96
75, 88, 90, 96, 98, 100
(90+96)/2 = 93 There should be a line at 93 that is the middle of the box
This is either graph A or C
Now find the upper quartile
That is the middle of 96, 98, 100 or 98
That would be Graph A
Answer:
First one
Step-by-step explanation:
75, 88, 90, 96, 98, 100
Min: 75
Q1: 88
Q2: (90+96)/2 = 93
Q3: 98
Max: 100
