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
Learn more on functions here: https://brainly.com/question/17192405
A speedboat moves at a rate of 25 km/hr in still water. How long will it take
someone to ride the boat 87 km downstream if the river's current moves at a rate of
4 km/hr?
3 hours
I hope this helps you
Help me solve this problem.
We can write an equation to resemble the problem.
1160 = 170 + 50x
x equals the number of boxes he is carrying.
Solve for x.
1160 = 170 + 50x
990 = 50x
19.8 = x
We can't round up because that will be to much weight. So, we are going to round down.
19.8 -> 19
Therefore, the answer is 19.
Best of Luck!
Answer: 19 boxes
Step-by-step explanation: Subtract the delivery person to get 990 lbs. then divide by 50 to get 19.8, but since we can't have 0.8 of a box and 20 boxes we go over, 19 boxes is the correct answer.
A _________ is used to change one unit to another?
Answer:
conversion factor
Step-by-step explanation:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
Please Help A) Find the perimeter B) The area of the rectangle
Answer:
A) 36.2m B) 70m
Step-by-step explanation:
5.6m + 5.6m = 11.2 m
12.5 + 12.5= 25 11.2 + 25 = 36.2m
Length x width equals area
12.5m = length and 5.6m= width
multiply 12.5 x 5.6= 70m
Is the ordered pair (-3,2) a solution to the equation 5x + 2y = -11
Step-by-step explanation:
(-3,2) is equal to (x,y)
x=-3 so 5x becomes 5x-3.
5x-3=-15
y=2 so 2y becomes 2x2.
2x2=4
-15+4=-11
T/F
True
So the answer is Yes, the ordered pair (-3,2) is a solution.
hope it helps!
If a class has 12 boys and 4 girls, what is the ratio of boys to girls written as a decimal? 0.33 0.75 3 4
Answer:
Pretty sure it's 3
Answer:
C 3
Step-by-step explanation:
I need to change the subject to x
Answer:
h) (x+4t²)/4= 3V
x+4t²= 4*3V
x+4t²=12V
x=12V-4t²
MN=√(3x-2)
(MN)²=3x-2
3x-2=(MN)²
3x=(MN)²+2
x= [(MN)²+2]/3
If the object has leaves, then it is a tree.
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanatio
Fruits and vegatables have leaves too, but yet there not a tree
the opposite of g(x) is -9(x),
then -g(x) =
ASAP
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clot that cost 180
$6.00
O $9.80
$10.80
O $18.60
Martin spent $68 on a new drone that he had been saving for. Now, he has
$41 left in his savings jar. Click the equation that could be used to find the total
of his savings, s, before he bought the drone,
S + 68 = 41
S - 68 = 41
68
68 - s = 41
= 41
How many dollars did Martin have saved before he bought the drone?
dollars
Answer:
The answer is 109
Step-by-step explanation:
i'm too lazy to explain the math but that's the answer
Eric’s kite spool had 100 yards of string. At first, he let out 50 feet of string.Then, the kite rose for another 16 yards. How much string was left on the spool?
Answer:66
Step-by-step explanation:Eric had 100 at first minus 50 then the kite rose 16 more which equals 66
The number of yards of string left on spool is 34 yards.
Given that, Eric’s kite spool had 100 yards of string.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
At first, he let out 50 feet of string. Then, the kite rose for another 16 yards.
Now, 50+16=66 yards
So, 100-66=34 yards
Hence, the number of yards of string left on spool is 34 yards.
Learn more about the subtraction here:
brainly.com/question/2346316.
#SPJ2
Mrs. Santiago drinks 9 diet cokes in 3 days. If there are 24 diet cokes in a case, how many cases of diet coke
should she buy for the month of September? (*hint, you need to know how many days in September. You need
to figure out how many cokes she will need AND then how many cases that would be.)
Answer:
9=3 and 24=x 9x =24*3=8
please help with this as soon as possible
Answer:
98,000
Step-by-step explanation:
[tex]5^{4} *7^{5}* 2^{8}/16*125*7^{3}[/tex]
[tex]=5^{4} * 7^{5}* 2^{8} /2^{4} *5^{3} *7^{3}[/tex]
[tex]=5^{4-1} *7^{5-3} *2^{8-4}[/tex]
=[tex]5^{3} *7^{2} *2^{4}[/tex]
=[tex]125*49*16[/tex]
[tex]=98000[/tex]
Answer:
Step-by-step explanation:
Factorize all the numbers in numerator and denominator
16 = 2*2*2*2
125 = 5 *5 *5
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex], where m >n
[tex]\frac{5^{4}*7^{5}*2^{8}}{16*125*7^{3}}=\frac{5^{4}*7^{5}*2^{8}}{2^{4}*5^{3}*7^{3}}\\\\\\=5^{(4-3)}*7^{(5-3)}*2^{(8-4)}\\\\\\=5^1*7^2*2^{4}[/tex]
5p · 1 = 5p is what property
Answer:
034579+&_9&__78'_&666
Rey is considering buying shares of TWA stock. The stock currently sells for $50 per share. The stock changes in value at 9:00 am each day, either increasing in value by $11 or decreasing in value by $13. The stock will increase in value with 40% probability, and decrease in value with 60% probability. The stock follows a random walk. In two days, what is the probability that the TWA stock is greater than $30
Answer: 64%
Step-by-step explanation:
Given the following :
Current price of stock = $50
Probability of increase per day = 40% = 0.4
Probability of decrease = 60% = 0.6
Value of increase = $11
Value of decrease = $13
Probability that stock is greater than $30 in two days :
For stock to be greater than $30 in two days ;
It either increases in both days or increases in a day and falls the other
Hence, probability that stock is greater than $30
P(increase and increase) OR P(increase and decrease) OR P(decrease and increase)
(0.4 × 0.4) + (0.4 × 0.6) + (0.6 × 0.4)
0.16 + 0.24 + 0.24 = 0.64
0.64 × 100 = 64%
Point S is on line segment RT.Given ST = 2x, and RT = 4x, and RS = 4x – 4,
determine the numerical length of RS
Answer:
2
Step-by-step explanation:
The required measure of the numerical length of RS is 4.
Given that,
Point S is on line segment RT.
ST = 2x, and RT = 4x, and RS = 4x – 4,
To determine the numerical length of RS.
A line is a curve showing the shortest distance between 2 points.
Standard equation of the line, y = mx + c, where m is slope of the equation and c is y-intercept of the equation.
Here,
Point S is on line segment RT
The total length of RT,
RT = RS + ST
4x = 4x - 4 + 2x
4x = 6x - 4
2x = 4
x = 2
RS = 4 x - 4
RS = 4 * 2 - 4
RS = 4
Thus, the required measure of the numerical length of RS is 4.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
Factor mn+7n−m−7 by grouping.
Answer:
[tex]\left(m+7\right)\left(n-1\right)[/tex]
Step-by-step explanation:
[tex]mn+7n-m-7[/tex]
[tex]\left(mn+7n\right)+\left(-m-7\right)[/tex]
[tex]n\left(m+7\right)-1\left(m+7\right)[/tex]
[tex]\left(m+7\right)\left(n-1\right)[/tex]
The factors of given polynomial is (m+7)(n-1).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given polynomial is mn+7n-m-7.
By grouping method we can factorize the given polynomial
Here, (mn+7n)-m-7
= n(m+7)-1(m+7)
= (m+7)(n-1)
Therefore, the factors of given polynomial is (m+7)(n-1).
To learn more about the factorization visit:
https://brainly.com/question/26923098.
#SPJ2
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.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ5
Find the measure of x
Help...giving 20 points (number 3 nothing else)
Answer:
see below
Step-by-step explanation:
[tex](\frac{7}{2} )^{4} =\frac{7^4}{2^4}=\frac{2401}{16}[/tex]
[tex](7*2^3)^3=7^3*2^{3*3}=343*2^9=343*512=175616[/tex]
[tex](7^2)(7^2)=7^{2+2}=7^{4}=2401[/tex]
[tex](7^2)(7)^0=7^{2+0}=7^2=49[/tex]
[tex](\frac{7}{2}) ^{-4}=\frac{7^{-4}}{2^{-4}}=\frac{2^{4}}{7^4} =\frac{16}{2401}[/tex]
[tex]\frac{7^6}{7^3} =7^{6-3}=7^{3}=343[/tex]
i don't know if you need all the numbers if you don't copy till when it has the exponents
can I get an answer please
Answer:
the first one.
The monthly snowfall totals from December 2010 through April 2011 were 22, 38.3, 18.5, 1.3, 0.9.
What was the average monthly snowfall during those months?
These tables of values represent continuous functions. For which functions will the y-values be the greatest for very large values of x?
∆....A....∆
1 6
2 18
3 54
4 162
5 486
The function with the greatest y-values for very large values of x is C.
The y-values in function C increase at a much faster rate compared to the other functions as x becomes larger. In function C, the y-values are growing with a constant difference of 200 for each increase in x. This means that for every unit increase in x, the y-value increases by 200. This linear relationship results in significantly larger y-values for larger x-values.
On the other hand, the other functions (A, B, and D) do not exhibit such rapid growth. Function A has a cubic relationship, which does lead to larger values than a linear relationship, but it is still not as rapid as the linear increase in function C. Function B also has a linear relationship, but the constant difference between y-values is much smaller than in function C (only 75).
Function D has a constant difference of 5 between y-values, resulting in a very slow growth as x becomes larger.
In conclusion, function C has the greatest y-values for very large values of x due to its linear relationship with a constant difference of 200 between y-values for each unit increase in x.
To learn more about continuous functions, here
https://brainly.com/question/30089268
#SPJ2
4. Between which two whole
numbers does V150 lie?
Answer:
12 & 13
Step-by-step explanation:
trust me
Write the ratio of 4 squares to 3 circles in three different ways.
Answer:
Using the Word to---- 4 to 3
As a a fraction--- 4/3
As a ratio---- 4:3
Step-by-step explanation:
i think
Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope,=6 passing through (-2,8)
Type the point-slope form of the equation of the line.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
Step-by-step explanation:
y - 8 = 6(x + 2)
y - 8 = 6x + 12
y = 6x + 20
Which expressions are equivalent to k/2 ?
Answer: (1/2)k
Step-by-step explanation:
Answer:
1/2 kand k/2
Step-by-step explanation:
In a particular town, 20% of the homes have monitored security systems. If an alarm is triggered, the security system company will contact the local police to alert them of the alarm. Of all the alarm calls that the local police receive, they only have the manpower to answer 30% of the calls. Suppose we randomly sample one home that was broken into over the last month from this town. What is the probability that this home has a monitored security system and that the police answered the alarm call?
Answer:
The probability to have both = 0.06
Step-by-step explanation:
Given:
Security system home = 20% = 0.2
Manpower for security calls = 30% = 0.3
Find:
The probability to have both
Computation:
The probability to have both = P(Security system home) × P(Manpower for security calls)
The probability to have both = (0.2)(0.3)
The probability to have both = 0.06
7(-8)-2y=-52
help....
Answer: Y = -2
Step-by-step explanation:
7(-8) -2y = -52
-56 - 2y = - 52
- 2y = 4
Y = -2
Answer:
Step-by-step explanation:
x = -8 so replace x with -8.
It should be 7(-8) - 2y = -52
Multiply 7 and -8 you get -56
You are left with -56 - 2y = -52
add -56 on both sides to get it on the other side
You will be left with -2y = 4
Divide by -2y on both sides
You'd get y = -2