The exercise has to do with the Graphing of a Cosecant Function. From the graph, the completed statements have been indicated below.
What are the completed statements?The completed statements are:
The period is 2pi/3The amplitude of the corresponding cosine function is 2.The vertical shift of the graph of the parent secant function is 1 unit down.It is to be noted that the graph is of the function 2Sec (3x) – 1.
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Answer:
2pi/3
corresponding cosine function is 2.
1 unit down.
graph 2sec(3x) – 1
Step-by-step explanation:
An on-the-job injury occurs once every 10 days on
average at an automobile plant. What is the probability that
the next on-the-job injury will occur within
a. 10 days?
b. 5 days?
c. 1 day?
The probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We know the exponential distribution is given by;
[tex]\rm P(X < t)=1-e^{-\dfrac{1}{\mu}t}[/tex]
The probability that the next on-the-job injury will occur within 10 days:
[tex]\rm P(X < 10)=1-e^{-\dfrac{1}{10}10}[/tex]
P(X< 10) = 0.632
The probability that the next on-the-job injury will occur within 20 days:
[tex]\rm P(X < 5)=1-e^{-\dfrac{1}{10}5}[/tex]
P(X< 5) = 0.393
The probability that the next on-the-job injury will occur within 1 days:
[tex]\rm P(X < 1)=1-e^{-\dfrac{1}{10}1}[/tex]
P(X< 1) = 0.095
Thus, the probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095
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Which choice is equal to 66
6
6
+ 66
6
6
+ 66
6
6
+ 36
3
6
+ 26
2
6
?
Answer:
Option D
Step-by-step explanation:
Given expression:
6/6 + 6/6 + 6/6 + 3/6 + 2/6The given expression can also be written as;
⇒ (6/6 + 6/6 + 6/6) + (3/6 + 2/6)When simplified, we get;
⇒ {1 + 1 + 1} + {(3 + 2)/6} ⇒ {3} + {(5)/6}When we open the parentheses and the curvy brackets, we get;
⇒ {3} + {(5)/6} ⇒ 3 + (5)/6⇒ 3 + 5/6Finally, we can see that 3 is a whole number. Therefore,
⇒ 3 + 5/6⇒ 3 5/6 (Option D)Therefore, Option D is correct.
Answer:
D, or 3 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
6/6 is equal to 1, so substitute that throughout your problem
1 + 1 + 1 + [tex]\frac{3}{6}[/tex]+ [tex]\frac{2}{6}\\[/tex]
1 + 1 + 1 = 3
[tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] = [tex]\frac{5}{6}[/tex]
3 + [tex]\frac{5}{6}[/tex] = 3 [tex]\frac{5}{6}[/tex]
Your answer is 3 5/6 or 3 [tex]\frac{5}{6}[/tex]
hope this helps:)
what is 3.5 times more than 34.80
well times means multiply so 3.5 times 34.80 is 121.8
Finding Angles (Level 1)
PLEASE full explanation :))
Answer:
59°Step-by-step explanation:
A and B are complementary angles since C is right angle.
m∠A + m∠B = 90°31° + m∠B = 90°m∠B = 90° - 31°m∠B = 59°Solve By either long division or synthetic division
-2x^2-3 / x^2-2x
....................
you run at a pace of 2 miles every min.Your friend runs at a pace of 3 miles every 24 min. Are you and your friend runnning at the same pace if not who is running faster
What is the measure of each angle foreign by the intersection
300 degrees
Step-by-step explanation:
X+5x-36
What is the simplest form of
?
x² - 16
X+ 9
X+4
9
o
X+9
X-4
9
4
Answer: If you meant (x^2 + 5x - 36)/(x^2-16) then the answer is: (x+9)/(x-4)
Step-by-step explanation:
This is just factoring, you can use guess and check.
If you take just the numerator: x^2+5x-36 and factor. To factor consider -36, and the multiples that can add up to 5 (from 5x).
x^2 + 5x - 36/(x^2-16)
The denominator is actually a rule of (a+b)(a-b) which in this case (x+4)(x-4)
(x+9)(x-4)/(x-4)(x+4)
Now just divide like terms which is the (x-4)/(x-4)=1
(x+9)/(x+4)
HELP PLEASE determine the number of real number solutions for the equation x^2+6x+9=0
Answer:
1 Answer->3
Step-by-step explanation:
To factor this out find the factors of 9 which add up to 6.
3 and 3 work therefore factor it out to
(x+3)(x+3)=0
Using Zero product property x is equal to -3
And there is only one answer which is 3
Which of the following expressions are equivalent to - -8/-4
a. -8-/4
b. 2
c. none of the above
Hey there!
-8/-4
= 8/4
= -8 ÷ -4
= 8 ÷ 4
= 2
Therefore, your answer is:
Option B. 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
27 Keane drives his car 180 miles from his home in Bristol to Liverpool.
He leaves his home at 09 30 and arrives in Liverpool at 12 42.
Work out the average speed of Keane’s journey in mph.
The average speed of Keane’s journey is 56.25 miles per hour
How to determine the average speed?The given parameters are:
Distance = 180 milesTime = 3.2 hours i.e. from 09 30 to 12 42.The average speed is calculated as:
Speed = Distance/Time
This gives
Speed = 180 miles/3.2 hours
Evaluate the quotient
Speed = 56.25 miles per hour
Hence, the average speed of Keane’s journey is 56.25 miles per hour
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1. How do binomial and geometric models differ?
2. In what situations would a geometric model be better than a binomial model?
Answer: A binomial has a specified number of trials just before an experiment begins, and X counts the number of achievements acquired within that limited number. While a geometric, on the other hand, has a fixed number of successes and counts the number of attempts necessary to reach the first success.
Step-by-step explanation:
This is only for the first question i don't know the second one sorry
The required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.
GIven that,
To determine how do binomial and geometric models differ and situations would a geometric model be better than a binomial model.
In mathematics, it deals with numbers of operations according to the statements.
Binomial distribution describes the number of successes k achieved in n trials and Given a finite number of trials, the geometric distribution is useful for calculating the chance of success.
Before an experiment starts, a binomial has a set number of trials, and X counts the number of successes attained within that fixed number. A geometric, on the contrary, count the number of efforts required to attain the first success and has a set number of successes.
The experiment can have an infinite number of attempts before success, unlike the binomial distribution which has a fixed number of trials, hence the geometric distribution is useful to describe the number of failures before the first success in such a sequence of trials.
Thus, the required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.
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NEED HELP ASAP SOME HELP PLEASE
Answer:
B
Vertex = (6,18)
Step-by-step explanation:
Vertex form = f(x) = a(x-h)^2+k
BRO PLEASE ANYONE HELP ME
Answer:
d 54.5x
Step-by-step explanation:
multiply x by the totals eventually will equal y
In three days Tina sold 15 boxes. On the second day, she sold 1 more than on the first. On the third day, she sold 5 more than on the first. How many boxes did she sell on the third day?
Answer:
Step-by-step explanation:
15 divded by 3 is 5 one 5 is 2 second 6 third 7
Question:
In three days Tina sold 15 boxes. On the second day, she sold 1 more than on the first. On the third day, she sold 5 more than on the first. How many boxes did she sell on the third day?
Answer:
8. Tina sold eight boxes on the third day.
Step-by-step explanation:
Three days, 15 boxes.
On the first day, Tina sold 3 boxes.
On the second, she sold one more than on the first. (4)
On the third day, she sold five more than on the first. (8)
3 + 4 = 7
7 + 8 = 15
So your answer would be:
Tina sold eight boxes on the third day.
help asap!!
select the correct answer.
Given a prism with a right triangle base and the dimensions and what is a correct expression for the volume of the prism?
Answer:
It would be v=1/2(x^3+8x^2+7x)
Step-by-step explanation:
Dylan is going to the fair and has $35. He is going to use $5 for food. The admission is $7, and rides are $1.85 each.
Which of the following equations could you use to find how many rides Dylan can go on?
$12 = $35 + $1.85 x
$35 = $1.85 + $12 x
$1.85 x = $47
$35 = $12 + $1.85 x
Answer:
$35 = $12 + $1.85x
Step-by-step explanation:
the total is 35 so it is alone on the left side of the equal sign
then 5 + 7 is 12 and he has to spend $12
rides are 1.85 each so there is a x next to it
Perform the operation. (-7x^2+3)-(-4x-3)
Answer:
-7x^2+4x+6
Step-by-step explanation:
Make sure your distributing the minus to make -4x and -3 from negative to postive, then just combine like terms ^^ you should be good!
which is the graph of f(x)=2(3)^x
Answer
Graph A (1,6)
slope is 4/1
This is a test, I need help
What is the total area, in square feet, of the shaded sections of the trapezoid below?
Answer:
[tex]28ft {}^{2} [/tex]
Step-by-step explanation:
Answer:
28 Square Feet
Step-by-step explanation:
The shaded sections are rectangles, area of a rectangle = ½base × height.For the first triangle...................................
Of two traingles
2×1/2BHBH3(2)6ft²Of 3 rectangles
3LB3(10)(3)9(10)90ft²TSA
90+6=96ft²Answer:
96 ft²
Step-by-step explanation:
As the base of the prism (the triangle) is an equilateral triangle (the sides are the same length), the surface area of the prism comprises:
3 congruent rectangles2 congruent trianglesArea of a rectangle = width × length
⇒ area of the rectangle = 3 ft × 10 ft = 30 ft²
Area of a triangle = 1/2 × base × height
⇒ area of the triangle = 1/2 × 3 ft × 2 ft = 3 ft²
Total surface area = 3 × area of the rectangle + 2 × area of the triangle
= 3 × 30 ft² + 2 × 3 ft²
= 90 ft² + 6 ft²
= 96 ft²
Joe is packing 1-centimeter cubes into a prism.
What is the volume of the prism?
Show your work below.
The volume of the prism when Joe is packing the cubes will be 210cm³.
How to calculate the prism?It should be noted that the volume of the prism given in this situation will be:
= Length × Width × Height
In this case, since Joe is packing 1-centimeter cubes into a prism. The volume will be:
= Length × Width × Height
= 5 × 6 × 7
= 210cm³
In conclusion, the volume will be 210cm³.
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percent of change pls help
Answer:
90%
Step-by-step explanation:
3 semicircles are connected to 3 sides of a square. each side of the square measures 4 centimeters. what is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2
The area of the composite figure with 3 semicircles connected to 3 sides of a square is (6π+16)[tex]cm^{2}[/tex].
What is a semicircle?A semicircle is a plane shape that is a part of a circle divided into two equal parts through its diameter.
Analysis:
Since the semicircles are connected to 3 sides of a square 4cm, the diameter of the semicircle is 4cm.
Radius of semicircle = 4/2 = 2cm
Area of a semicircle = π[tex]r^{2}[/tex]/2 = [tex]\pi[/tex][tex](2)^{2}[/tex]/2 = 2π[tex]cm^{2}[/tex]
For three semicircles = 3 x 2π[tex]cm^{2}[/tex] = 6π[tex]cm^{2}[/tex]
Area of square = [tex]s^{2}[/tex] = [tex](4)^{2}[/tex] = 16[tex]cm^{2}[/tex]
Area of composite figure = Area of 3 semicircles + area of square
Area of composite figure = (16 + 6π)[tex]cm^{2}[/tex]
In conclusion, the area of the composite figure is (16 + 6π)[tex]cm^{2}[/tex].
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Answer:
C. (6π + 16) cm2
Step-by-step explanation:
Got it right on the quiz
How do I graph this?Y=4x+1 and Y=x-2? My teacher said that they have to cross each other
This is called system of equations because you are searching a pair of numbers that inserted as x and y verify both equations at the same time.
To solve a system of equation you have to use one equation to express one variable as a function of the other, and substitute the result in the second equation.
In your case you have
y = x - 2
So your y variable will be always equal to x - 2 , even in the second equation. Then we can write
x - 2 = 4x + 1
Here I replaced the "value" of y in the second equation.
Now you have an equation in one variable that you can solve as usual
x - 2 = 4x + 1
4x - x = - 2 - 1
3x = -3
x = -1
With a value for x you can substitute in one of the two equations and obtain y. Because both equations has to be valid at the same time, both equations must give you the same number for y. Let's try:
y = x - 2
y = - 1 - 2
y = -3
and, with the second equation
y = 4x + 1
y = 4 ( - 1 ) + 1
y = - 4 + 1
y = -3
It works! Then our solution is given by x = -1 and y = -3.
To graph this, simply plot these coordinates.
Could a polyhedron have 10 faces, 3 vertices and 11 edges
Answer:
Yes, it can.
Step-by-step explanation:
Possibility of this bring a polyhedron can be proved by Euler's formula, i.e
F+V-E=2
F=10 V=3 E=11
=10+3-11
Essentially, it is 13 - 11, which is 2.
2 = 2, so yes, this does work.
HELP!! 50 POINTS PLEASEEEE
Ron used a combination of 45-cent stamps and 1-cent stamps to mail a package. He used 15 stamps in all. If the total cost for postage was $4.55, how many 1-cent stamps did he use?
Answer:
Then the count of 1 cent stamps is 15 −x. So for total cost we have. [45x + 1(15 − x)]cents = $4.55. but there are 100 cents in 1 dollar so we change the above to. [45x +1(15 −x)] 100 = 4.55. Multiply both sides by 100. 45x + 15− x = 455. 44x = 440.
Step-by-step explanation:
Express 72 as a product of its prime factors.
The table shows the estimated sales for two different prices of bags of chips. Calculate the profit per bag for the bags sold at $1 each.
The profit per bag for the bags sold at $1 each is 0.35
The correct option is: (D)
What is profit?Profit is the positive financial gain remaining after all costs, taxes, and expenses have been deducted from total sales.
Profit per bag for the bags sold at $1 each be,
Profit = (Estimated sales -(Estimated Sales* Variable cots +Fixed cost))/Estimated Sales
We know,
Estimated sales= 1600000
Variable cost = 0.40
Fixed cost= 400000
So, Profit = [tex]\frac{1600000-(1600000*0.40+400000)}{1600000}[/tex]
= [tex]\frac{1600000-(1040000)}{1600000}[/tex]
= [tex]\frac{560000}{1600000}[/tex]
= 0.35
Hence, the profit per bag be 0.35.
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