Crude oil imports to one country from another for 2009–2013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = −33t2 + 800t − 3,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?
Answer:
Import in 2012 was the greatest
Step-by-step explanation:
Given
l(t) = -33t² + 800t - 3000
9 ≤ t ≤ 13
Required
Determine the year with highest import.
To do this we simply substitute the values of t from 9 to 13 in the given function.
When t = 9
l(t) = -33t² + 800t - 3000
l(9) = -33 * 9² + 800 * 9 - 3000
l(9) = -33 * 81 + 800 * 9 - 3000
l(9) = -2673 + 7200 -3000
l(9) = 1527
When t = 10
l(10) = -33 * 10² + 800 * 10 - 3000
l(10) = -33 * 100 + 800 * 10 - 3000
l(10) = -3300 + 8000 - 3000
l(10) = 1700
When t = 11
l(11) = -33 * 11² + 800 * 11 - 3000
l(11) = -33 * 121 + 800 * 11 - 3000
l(11) = -3993 + 8800 - 3000
l(11) = 1807
When t = 12
l(12) = -33 * 12² + 800 * 12 - 3000
l(12) = -33 * 144 + 800 * 12 - 3000
l(12) = -4752 + 9600 - 3000
l(12) = 1848
When t = 13
l(13) = -33 * 13² + 800 * 13 - 3000
l(13) = -33 * 169 + 800 * 13 - 3000
l(13) = -5577 + 10400 - 3000
l(13) = 1823
Comparing the values of l(t) for the range of t = 9 to 13,
The highest value of l(t) is:
l(12) = 1848
Hence, the year with the highest import is 2012
The oil imports to the country are greatest during the year 2012
Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000
The oil imports more oil during the year 2012, is t = 12
I(12) = −33(12)² + 800(12) − 3,000
I(12) = -33(144) + 9600 - 3000
I(12) = -4752 + 6600
I(12) = 1848
Hence the oil imports to the country are greatest during the year 2012
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A tourist information center is between a bus station and a train station. When mapped on a grid, the tourist information center is located at (1,4) and the bus is located at (-3,7) The train station is located at point
Answer: The train station is located at point (5,1).
Step-by-step explanation:
Given: On a grid, information center is located at (1,4) and the bus is located at (-3,7).
A tourist information center is between bus station and train station.
i.e. tourist information center is a mid point of line joining bus station and train station.
Midpoint between (a,b) and (c,d) is given by :-
[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex]
Let (a,b) be the coordinates of train station , then
[tex](1,4)=(\dfrac{-3+a}{2},\dfrac{7+b}{2})\\\\\Rightarrow\ 1=\dfrac{-3+a}{2}\ \ \ , 4=\dfrac{7+b}{2}\\\\\Rightarrow\ 2=-3+a\ \ \ , 8=7+b\\\\\Rightarrow\ 2+3=a\ \ \ , 8-7=b\\\\\Rightarrow a= 5,\ \ b=1[/tex]
Hence, the train station is located at point (5,1).
Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly's current age in terms of Nancy's? Which expression represents Molly's current age in terms of Zander's? Nancy is currently 10 years old, and Zander is 14. How old is Molly?
Answer: 1.) 2n 2.) z+6 3.) 20 years old
Step-by-step explanation:
Answer:
answer one: 2n
answer two: z + 6
answer three: 20 years old
Step-by-step explanation:
edge 2020
Tracey paid $165 for an item that was originally priced at $450. What percent of the original price did Tracey pay? Round your percentage answer to two decimal places.
Answer:
36.67%
Step-by-step explanation:
To find the percent, divide 165 by 450 (part over whole) and multiply by 100
(165/450) x 100
= 36.67
So, Tracey paid 36.67% of the original price
If UV = 5, VW = 4x − 1, and UW = 5x + 2, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you type in step by step so I could understand it too?
Answer:
12
Step-by-step explanation:
UV + VW = UW
[tex]5+(4x-1)=5x+2[/tex]
Remove brackets:
[tex]5+4x-1=5x+2[/tex]
Solve [tex]5-1=4:[/tex]
[tex]4x+4=5x+2[/tex]
Subtract 4 from both sides:
[tex]4x+4-4=5x+2-4[/tex]
[tex]4x=5x-2[/tex]
Subtract 5x from both sides:
[tex]4x-5x=5x-2-5x[/tex]
[tex]-x=-2[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]
[tex]x=2[/tex]
[tex]UW=5x+2=5(2)+2=10+2=12[/tex]
Find the value 10 4 exponent
what is an equivalent expression to 6(x-5)?
Answer:
6x-30
Step-by-step explanation:
you use distribution
Answer: 6x -30
Step-by-step explanation: Distribute the 6 to x and -5 to get 6x -30.
What does this say? Please Help me!
Answer:
That is a child mom with triplets.
Step-by-step explanation:
HELP !! Find the x with the details in this picture^^
Answer:
x = 3.9
Step-by-step explanation:
So the whole angle PQS = 111 degrees
it gave you part of it so subtract that off . 111 - 72 = 39 degrees
10 times what equals about 39 degrees.
39/ 10 = 3.9
HELPP PLEASEEEE THANK YOUUU MU FRIEND!
Answer:
co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1
Step-by-step explanation:
You have a band concert coming up. You need to make sure that everyone in the audience has a seat. 70 people bought tickets. You set 6 rows of 11 chairs. Is that enough chairs? Why or why not? Show Work!
no this is not enough chairs!
if you have 6 rows of 11 chairs it would look like this
xxxxxx
xxxxxx
xxxxxx
xxxxxx
xxxxxx
(each x is a chair)
this would mean to figure out the amount of chairs you set down you would do 6 x 11 which is 66. so you would need 4 more chairs to fit all 70 people.
Translate the following algebraic expression into a written expression 3x ^ 2 + 2y + 1/2
Answer:
5
Step-by-step explanation:
Three students have proposed these ways to describe when two lines l and m are perpendicular: Read screenshot for info. Explain why each of these definitions is correct. What are some of the advantages and disadvantages with each?
Answer:
a. The definition that l and m are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle
The above definition is correct because, where two lines intersect, forming an angle of 90° with each other, then, by definition of perpendicular lines, the direction of one line is perpendicular to the other
The advantage of the above definition are;
1) It is simply stated and therefore, will be easier to understand
2) It can be easily used to test the perpendicular relationship between two objects
Disadvantages
1) It gives limited description of the other characteristics of the line
2) It does not state if the lines extend past each other after the point at which they cross
b. For the definition, l and m are perpendicular if they meet at one point and all four of the angles at their point of intersection are right angles
The above definition is correct as it meets the condition of two lines to be perpendicular to each other
Advantages
1) It clearly describes the relationship between the lines and their appearance
2) It indicates that the sun of angles at the point of intersection is 360°
Disadvantage
1) The resulting detail of the four angles may lead to ambiguity in the case where the two lines do not cross and there are only three angles formed at the point
c. For the definition, l and m are perpendicular if they meet at one point and reflection about l maps m to itself
The above definition is correct as it indicates the requirement for the continuity of the definition of the on line after crossing the other line
Advantages
1) It defines the condition of perpendicularity without the requirement for measuring the angles
2) It states the symmetrical condition of perpendicular lines about the vertical axis
Disadvantages
1) It requires further clarification in order to be related to the original definition of perpendicular lines being lines that are at right angle to each other.
Step-by-step explanation:
In a population of elderly war veterans, the probability that a veteran will have been exposed to agent orange (a militarized herbicide) and develop cancer is 0.35. The probability is 0.75 that a veteran exposed to agent orange will develop cancer. The average age of the veterans is 67 years old. What is the probability that a random veteran will have been exposed to agent orange
Answer:
Probability that a random veteran will have been exposed to agent orange is 0.4667
Step-by-step explanation:
P(exposed to agent cancer and develop cancer) = 0.35
P(develop cancer given he is already exposed to agent orange) = 0.75
P(is exposed to agent cancer) = ?
P(A given B) = P(A and B)/P(B),
P(develop cancer | exposed to agent orange) = P(develop cancer and exposed to agent orange)/P(exposed to agent orange)
0.75 = 0.35/P(exposed to agent orange)
P(exposed to agent orange) = 0.35/0.75
P(exposed to agent orange) = 0.4667
What is the least common multiple of these two denominators 3/6 2/12
Answer:
1 1/2 = 36/24
3/8 = 9/24
5/6 = 20/24
3 = 72/24
Step-by-step explanation:
if this answers it or it is just 12
The least common multiple of these two denominators 6 and 12 is 2.
To find the least common multiple (LCM) of the denominators 6 and 12, follow these steps:
Step 1: Prime factorize each denominator.
6 = 2 × 3
12 = 2 × 2 × 3
Step 2: Identify the highest power of each prime factor.
In this case, the highest power of 2² is 2 and the highest power of 3 is 3.
Step 3: Multiply the highest powers of all prime factors.
[tex]2^2 * 3^1 = 4 * 3 = 12[/tex]
Therefore, the LCM of the denominators 6 and 12 is 2.
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What is the subsets of 10
Answer:hi
Step-by-step explanation:
* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.
Answer:
1. D
2. AE (with a line above the 2 letters)
3. AC (with an arrowpointing to the right above the 2 letters)
4. B, A, and C
What is the distance from the origin to point A graphed on the complex plane below?
Answer: B
Step-by-step explanation:
Answer:
option B, square root of 13
Step-by-step explanation:
i took the quiz on edge and got it right. :,)
Solve for x.
-3(2x – 1) – 3x – 4 = 17
The Answer Is x=-2
Hope This Help's
Answer:
[tex] \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star[/tex]
Step-by-step explanation:
[tex]: \implies{ - 3(2x - 1) - 3x - 4 = 17}[/tex]
[tex]: \implies{ - 6x + 3 - 3x - 4 = 17}[/tex]
[tex]: \implies{ - 6x - 3x + 3 - 4 = 17}[/tex]
[tex]: \implies{ - 9x - 1 = 17}[/tex]
[tex]: \implies{ - 9x = 17 + 1}[/tex]
[tex]: \implies{ - 9x = 18}[/tex]
[tex]: \implies{ \displaystyle{x = \frac{18}{ - 9} }}[/tex]
[tex] \: \: \: \: \: \: \: \: \star{ \: \implies{ \red{x = - 2}}}[/tex]
Please help me it due today
Answer:
i think the answer is A
Step-by-step explanation:
if u select the answer C then he will not be able to collect at least 1000
each week but he can collect less.
as remaining 6 weeks and remaining signatures at least(point to be noted)
1000-520=480
so each week he will collect at least= 480/6=80 its at least but he can collect more than 80 because the limit is at least 1000.......
so the answer is including 80 or more than that....that means the answer is A.......THANK U(I think its the answer but not 100% sure)
Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to keep profits high by using as little perfume as possible, but a government regulation states that no more than 2.5% of the bottles may contain less than the stated volume on the bottle. If the bottles you are filling are stated to contain 100 mL, what is the minimum volume you should use for filling if the standard deviation in the fill level is /- 1.6 mL. (Hint: assume an infinite number of samples where the CI is x /- ts and t
Answer:
The answer is "96.864 ml".
Step-by-step explanation:
In this question, the formula of [tex]\bold{CI = X \pm t \times s}[/tex].
( where X is the mean, t is the coefficient, and s is the mean difference error)
As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is [tex]t=1.96[/tex].
And it can take [tex]\pm \ 1.6 \ ml[/tex] to have been the full value the standard infinite: [tex]\to CI = 100 \pm (1.96 \times 1.6) \\\\[/tex]
[tex]= 100 \pm (3.136) \\\\[/tex]
Consequently, if the standard error is [tex]\pm \ 1.6 \ ml[/tex] , a similar amount should be used to fill
[tex]= 100 - 3.136 \\\\= 96.864 \ \ mL[/tex]
1. Name the indicated geometric figures for the figure shown. Be sure to use correct notation.
A Name a point. _________
B Name a ray through Y. _________
C Name a line through Z. _________
D Name a plane. _________
Answer:
Step-by-step explanation:
A). There are three points given on the plane R.
Point X, point Y and Point Z.
B). A ray from the point Y → [tex]\overrightarrow{XY}[/tex]
A ray starting from point X and passing through Y to infinity.
C). Name of a line → [tex]\overleftrightarrow{YZ}[/tex]
Aline passes through two points with both the ends directing towards infinity.
D). Name of a plane → Plane R or Plane XYZ
A plane is defined by three points lying on the same surface.
Incorrect answers will be reported, first correct answer will get brainiest.
Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?
They are commutative, because f(x) and g(x) are constant functions.
They are commutative, because f(g(x)) and g(f(x) are constant functions.
They are not commutative, because f(x) and g(x) are not equal.
They are not commutative, because flg(x)) and g(f(x) are not equal.
Answer:
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
In order for the composition of the functions to be commutative, we must have ...
f(g(x)) ≡ g(f(x))
for all values of x.
Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.
Answer:
D. edg 2022
Step-by-step explanation:
Janelle earned $253.75 for 5 days of work. how do I find her unit rate of pay?
Answer:
50.75
Step-by-step explanation:
253.75/5
Suppose you work for a company that manufactures electronics. The development analysts estimate that 5% of their flagship product will fail within 2 years of the purchase date, with a replacement cost of $ 1200. A newly hired associate at the company proposes to charge $ 50 for a 2-year warranty. 1. Compute the expected value of this proposal. Let X be the amount profited or lost (by the company) on the warranties and P(X) is the probability. 2. Interpret the expected value in complete sentences.
The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.
Interpretation of the expected value:
The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.
To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.
Now, we have,
The product doesn't fail within 2 years, and the company earns $50 from the warranty.
The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.
The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,
and the probability of the product failing within 2 years is 0.05.
Now, we have to find the expected value (E(X)):
[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]
Where:
[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95
[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50
[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05
[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)
E(X) = 0.95 * $50 + 0.05 * (-$1150)
E(X) = $47.50 - $57.50
E(X) = -$10
The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.
Interpretation of the expected value:
The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.
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Identify the intersection of line l line m
Determine whether the underlined numerical value is a parameter or statistics.
The average annual salary of 50 of a company's 800 employees is $54,000.
Answer:
The numeric value is a statistic because the data set of salaries of 50 employees is a sample
Step-by-step explanation:
50 of a company's 800 employees is $54,000.
800 is the population, of all the employees of the company
$54,000 is the value of 50 employees which sample or subset is of 800 employees
Ms. D bought 18 bagels for $1.35 each and 2 containers of cream cheese for $3.45 each. Write and evaluate ONE expression to find the total cost of the food.
Answer:
(18+2)x($1.35+$3.45)= $96
Could I please have BRAINLIEST.
The double number line shows that
4
44 pounds of almonds cost
$
34
$34dollar sign, 34.
Answer:
round them up
Step-by-step explanation:
Think of a number. Double the number. Substract 6 from the result and divide the answer by 2. The quotien will be 20. What is the number?
Answer:
23 is your answer hope this helps
Answer:
The number is 23
Step-by-step explanation:
23*2=46
46-6=40
40/2=20
The answer is 23
Hope that helps!