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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What is the mid point between (0,0) and (3,4)
Answer:
Midpoint of a line segment
(xM,yM) = (4, 5).
Answer:
I think it's point (1.5,2).
Step-by-step explanation:
3 ÷ 2 = 1.5
4 ÷ 2 = 2
y varies directly with x Part 1
19. If y = 4 when x = -2, find x when y = 6
20. If y = 6 when x = 2, find x when y = 12
21. If y = 7 when x = 2, find x when y =3
Answer:
19. -3
20. 4
21. 6/7
Step-by-step explanation:
Since the variables are proportional, you can multiply the given x value by the new/old ratio of y-values.
19. x = 6/4(-2) = -3
20. x = (12/6)(2) = 4
21. x = (3/7)(2) = 6/7
Anurak has nickels, dimes, and pennies in his pocket. The coins in Anurak's pocket have a total value of 75 cents. He has three more nickels than dimes and five times as many pennies as dimes. How many coins of each type does Anurak have?
Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
We must have these informations in mind:
1) A penny is a 1-cent coin.
2) A dime is a 10-cent coin.
3) A nickel is a 5-cent coin.
Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:
[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)
In addition, we get the following identities:
i) He has three more nickels than dimes
[tex]z + 3 = y[/tex] (Eq. 2)
ii) And five times as many pennies as dimes
[tex]x = 5\cdot z[/tex] (Eq. 3)
The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)
[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]
[tex]0.20\cdot z = 0.60[/tex]
[tex]z = 3[/tex]
The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].
Anurak has 15 pennies, 6 nickels and 3 dimes.
Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twice the width.what dimensions should she make the rectangle
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Find the 9th term of the geometric sequence 4, 16, 64, ...
Answer: Just keep multiplying by 4 after 64 like multiply 64 times 4 and do that number times and keep doing that until its the 9th answer :)
Step-by-step explanation:
A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
What is geometrical series?A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.
The first term of the series is 4, while the ratio of the geometric sequence:
[tex]\rm Ratio, r = \dfrac{16}{4} = 4[/tex]
Thus, the 9th term of the geometric series can be written as,
[tex]a_n = a_1 \times r^{(n-1)}\\\\a_9 = 4 \times 4^8\\\\a_9 = 262,144[/tex]
Hence, the 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
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-i+5=t-19 please help!!
Answer: t=24−i
Step-by-step explanation:
I can’t find the answer please help
Answer:
5.4 & 5.4
Step-by-step explanation:
CD²=5²+2²=29
CD=AB=5.4
Answer:
C) 5.4 and 5.4
Step-by-step explanation:
CD: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4
AB: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4
Round 3,760 to the nearest hundred.
Answer:
3,800
Step-by-step explanation:
Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."
Hope this helps and have a nice day!
Answer:
3,800
I hope this helps!
I did 24 hours on my speed paint if i did it for 4 more days how many minutes would that be?
Answer:
7,200 minutes.
Step-by-step explanation:
5 days * (24 hours / 1 day) = 5 * 24 hours = 120 hours
120 hours * (60 minutes / 1 hour) = 120 * 60 minutes = 7,200 minutes.
Hope this helps, and I love your art!
Answer:
7,200
Step-by-step explanation:
Truffles cost $3 each and caramels cost $2 each. If t represents the number of truffles and c represents the number of caramels, explain what each of the following expressions represents. Explain your reasoning for each. a) t +c b) 3t +2c
Answer:
a) Combined amount of truffles and caramels bought
b) Amount of money spent in total on both truffles and caramels
Determine whether the given segments have the same length. Complete the justification of your answer,
AB and BC
The length of AB is
length
The length of BC is /
.So, AB and BC (select)
the same length
Answer:
No does not contain the same length
Step-by-step explanation:
Given that
A(-4,2) , B (1,4), C (2, -1)
Now
AB would be
= [tex]\sqrt{(1-(-4))^2 + (4-2)^2} \\\\= \sqrt{29}[/tex]
And, BC is
[tex]= \sqrt{(2-1)^2 + 1-(-4))^2} \\\\= \sqrt{26}[/tex]
As we can see that the AB and BC are not equaled
So,
AB ≠ BC
Due to the different length
Therefore they do not contains the same length
We simply applied the distance formula due to which the length could be determined and the same is to be considered
8 plus 78 oooooooooooooooooooooooooooooooooooooooooooooo
Answer:
86 ✌️
Step-by-step explanation:
just get a calculator
please need help on this one I'll give you 5 stars and a heart or maybe a brainliest
Answer:
13
Step-by-step explanation:
14x-1=x+12
13x=13
x=1
x=12
1=12
=13
Answer:
13
Step-by-step explanation:
use a ruler on this one. its super easy.
not saying to do it all the time, but for this one it is ok
A negative number multiplied by a negative number will result in a ___ product.
Answer:
Positive product
Step-by-step explanation:
use the point slope form to find the linear equation of a line that passes through the points 2,-1 and 10,7
Answer:
Step-by-step explanation:
Y2-y1 , x2-x1
7-3=5
10-(-1=11
5/11 so y=5/11x is the answer
Answer:
Y= 1x+-3
Step-by-step explanation:
Which problem can be solved with the equation 1.75+(-1.75)=0?
Answer:
bank account one is the answer
Step-by-step explanation:
bank account one is the answer
Hope it helps
Pls mark as brainliest
Problem number 4 is solved by the equation 1.75 + (-1.75).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
In problem number 4, the question is the number Sam deposited in the amount of $1.75 and then purchased a movie ticket for $1.75.
The account balance will be represented by the equation.
Account = 1.75 + (-1.75)
The actual account balance will become zero.
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[tex] \sqrt{3969} [/tex]
Answer:
63
Step-by-step explanation:
The result of accounting root is a fortified number
63²= 3969
Find the measure of x
I need help on the value of X
Solve the equation 15.6 + (-1.8) =
Since +(-) becomes (-) we can write the given problem as
15.6-1.8
Subtraction gives us 13.8
:)
Please help
Using the mileage chart below, find the distance between Spearfish and
Madison
sus
Huron
Η
22.223 Mehellye
O A. 191 miles
O B. 45 miles
O C. 123 miles
O D. 390 miles
The distance between Spearfish and Madison is 390 miles.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a mileage chart.
Assume that the distance between Spearfish and Madison is [x] miles.
Then the point of intersection of Spearfish row and Madison column would give the distance between both of them as 390 miles. So, we can write -
x = 390 miles
Therefore, the distance between Spearfish and Madison is 390 miles.
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Which of the following relations is a function?
OA. (-7, 1), (0, -5), (1,5), (5, 1)
OB. (-7, 4), (0, 6), (-7, 3), (5,2)
C. (1, 1), (0, 4), (-7, 1), (1,-5)
OD. (-7,1), (0,4), (1,-5), (0, 6) ting
Answer:
A
Step-by-step explanation:
It would be "a" because the x points are all different, as seen on the others they all have at least one similar x.
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)
Answer:
Step-by-step explanation:
y + 3 = 7(x - 1)
y + 3 = 7x - 7
y = 7x - 10
what is the least common multiple of 6, 12 , and 15
Answer:
It's 3.
Step-by-step explanation:
3x2=6
3x4=12
3x5=15
Which statement is true about this function for all values of x < 4
The function is positive.
The function is decreasing.
The function is increasing.
The function is negative.
Answer:
The Function is Decreasing.
Step-by-step explanation:
I hope this helps you :)
Answer:
I would also say that the function is decreasing.
Step-by-step explanation:
1 added by 1 is
A. 2
B. 3
C. 5
D. 11
Explain your answer
Answer:
A. 2
Step-by-step explanation:
When adding two numbers, you are combining their values.
In this problem, you are combining the value of 1 with the value of 1. When you combine them, you are saying that you have two 1's. So in this problem, you combine both ones and get a final answer of 2.
State how many solutions, 3 + 2x + 1 = 2x + 3
Answer:
Step-by-step explanation:
3 + 2x + 1 = 2x + 3
2x + 4 = 2x + 3
4 ≠ 3
no solution
Phyllis, Kelly, Erin, and Renee bought a gift for their dance instructor. The total cost of the gift, 1 including tax, was $55.80. Erin paid $14, Kelly paid of the cost, Renee paid 25% of the cost, and Phyllis paid the remaining cost. What amount did Phyllis pay? $41.80
Answer:27.85
divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price
7x + 15 - 9x = 5 plz help
Answer:
x =5
Step-by-step explanation:
[tex]7x + 15 - 9x = 5\\\\\mathrm{Group\:like\:terms}\\7x-9x+15=5\\\\\mathrm{Add\:similar\:elements:}\:7x-9x=-2x\\-2x+15=5\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\-2x+15-15=5-15\\\\Simplify\\-2x=-10\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-10}{-2}\\\\Simplify\\x = 5[/tex]
which value is a solution to the inequality 9-y>12?
Hey there!
[tex]Answer:\boxed{y<-3}[/tex]
[tex]Explanation:[/tex]
[tex]9-y>12[/tex] Inequality
Let's start by simplifying both sides of the inequality.
[tex]-y+9>12[/tex]
Now subtract 9 from both sides.
[tex]-y+9-9>12-9\\-y>3[/tex]
Now divide both sides by -1.
[tex]\frac{-y}{-1}>\frac{3}{-1}[/tex]
[tex]y<-3[/tex]
Hope this helps!