Answer:
The number of acres of genetically modified crops were grown worldwide in 2012 is approximately 529.39 million.
Step-by-step explanation:
Note: There are mistakes in this question particularly in the years and the rate of change. The question is therefore correctly stated before answering the question as follows:
Suppose the total number of acres of genetically modified crops grown in developing countries from 2006 through 2012 was changing at the rate of R′(t) = 2.613t^2 − 17.7t + 41.38 (0 ≤ t ≤ 6). The total number of acres of such crops grown in 2006 (t=0) was 18.1 million acres. How many acres of genetically modified crops were grown worldwide in 2012?
The explanation to the answer is now given as follows:
From the question, we are given:
R′(t) = 2.613t^2 - 17.7t + 41.38 ................................... (1)
Since t = 0 corresponds to 2006; by counting from 2006 to 2012, it implies that t = 6 corresponds to 2013.
Substituting t = 6 into equation to obtain the rate of change in 2012, we have:
R′(6) = (2.613* 6^2) - (17.7 * 6) + 41.38
R'(6) = 29.248
The number of acres of genetically modified crops were grown worldwide in 2012 can therefore be calculated as follows:
Number of acres grown worldwide in 2012 = Number of acres grown worldwide in 2006 * R'(6) ......................... (2)
Where;
Number of acres grown worldwide in 2006 = 18.1 million acres
R'(6) = 29.248
Substituting the values into equation (2), we have:
Number of acres grown worldwide in 2012 = 18.1 * 29.248 = 529.3888 million
Approximating to 2 decimal places, we have:
Number of acres grown worldwide in 2012 = 529.39 million
Therefore, the number of acres of genetically modified crops were grown worldwide in 2012 is approximately 529.39 million.
4x + 5 = 2x + 9, find the value of x
Answer:
x =2
Step-by-step explanation:
4x - 2x = 9-5
2x = 4
x = 4
please help me asap
Help me out! Brainliest if you give me a valid answer & explanation!
Q: Find the area of the shape below!
Answer:
Answer is 131 square ft
Step-by-step explanation:
You need to split the shape into two
12 times 8 equals 96
7 times 5 equals 35
Add together and get answer of 131
Hope I could help! Have a great day!
You and your friend are baking some cookies for your classmates. The recipe you have called for ½ cup of sugar. If you don’t have a ½ measuring cup, what is another measurement you can use to equal ½?
Answer:
just need points
Step-by-step explanation:
The average rate of change of g(x) between x = 4 and x = 7 is 7. Which statement must be true?
Answer:
x = 4 umm I am not sure but I think this is the answer
Solve the equation.
Give your simplified answer as an improper fraction.
3(x - 1) = 2(3 – x)
? you
Answer:
3(x_1)=2(3_x)
or,3×_3 =6_2×
or,3×+2× =6+3
or,5× =9
or,× =9/5
Answer:
3(x-1)=2(3-x)
3x-3=6-2x
3x+2x=6+3
5x=9
divide both sides by 5
Answer x=9 5Step-by-step explanation:
multiply 3 by x -1 and x 3 x - 1
step 2: after simplifying collect like terms
solve from there
90% of 133 is equal to (0.9) ⋅ 133
Answer:
119.7
Step-by-step explanation:
90% of 133 = 0.9 * 133
= 119.7
The current, I, varies inversely to the resistance, R. If the current is 250 milliamperes
when the resistance is 5 ohms, find the current when the resistance is 20 ohms.
a) 124.5 milliamperes
b) 50 milliamperes
C)62.5 milliamperes
d) 1250 milliamperes
Answer:
C
Step-by-step explanation:
First find the voltage which is current times resistance. Convert milliamperes to amperes. Divide 250/1000 because amperes are 1000 times smaller. That results in 0.25. So multiply 0.25 A by 5 ohms. That is 1.25. Now divide 20 by 1.25 which is 0.0625. Convert that to millamperes by multiplying by 1000. That gives you 62.5 millamperes.
- A teacher wanted to determine the effectiveness of two different learning tools—a computer program or a hands-on approach—for a particular concept she was preparing to teach. She will assign her students to one of the two methods to spend the whole class time to learn this concept. Which of the following variables would be moderated due to random assignment? a- the teacher b- time spent in class c- computer experience d- the different learning tools
Answer:
The answer is Computer Experience.
Step-by-step explanation:
PROBLEM: The chart shows the boy's basketball team's record of wins and losses for the last 5 years. What percent of the games did they win during the 5-year period? Round to the nearest percent. Years Wins Losses 7 4 2 5 6 3 8 3 4 9 2. 5 10 1 A. 71 % B. 36% C.31% D. 29%
Answer:
Option A:71%
Step-by-step explanation:
add wins, 7+5+8+9+10=39add losses 4+6+3+2+1=16add wins and Losses, 39+16=55do wins divided by total games, 39/55=70.909091round up to 71%WHAT IS THE ALGEBRAIC EXPRESSION FOR THE SUM OF N AND 9?
The algebric expression for the sum of N and 9 is [tex]\tt{ N + 8}[/tex]
The algebraic expression for the sum of N and 9 will be N + 9.
An algebraic expression simply means the idea of expressing numbers using alpahabets or letters without specifying their actual value.
Based on the information given, we have to add the variables. Therefore, the algebraic expression for the sum of N and 9 will be N + 9.
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1. Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = x2 + 8
Shift the graph of y = x2 up 8 units.
Shift the graph of y = x2 right 8 units.
Shift the graph of y = x2 left 8 units.
Shift the graph of y = x2 down 8 units.
Answer:
Step-by-step explanation:
Please write y = x^2. The " ^ " symbol indicates exponentiation.
Here's how we get from the graph of y = x^2 to the graph of y = x^2 + 8:
Graph y = x^2. Now translate the entire graph 8 units up.
Solve the system of linear equations below.
x - 3y = -3
x + 3y = 9
A.
x = -12, y = 7
B.
x = 3, y = 2
C.
x = 6, y = 1
D.
x = 6, y = 2
Answer:
The answer is X=3, Y=2
hope this helps :)
Elijah made 100 brownies this week. He baked 4 more than three times the total he made last week. How many brownies did he bake last week?
Answer:
388 or 288
Step-by-step explanation:
this week in total = 100
4 more ( + ) 3 times ( x ) last
- - - - - -
100 - 4 = 96
96 x 3 = 288
either subtract or add
288 - 100 = 188
or add
288 + 100 = 388
hope this helps !
it may right or wrong :)
Which is (are) the roots of -12x^2=60x+75
1. x=+/-2.5
2.x=3, -2.5
3.x=-2.5
4.x=0, 3
Answer:
x= -5/2 or -2.5
Step-by-step explanation:
-12x^2=60x+75
change to -12x^2-60x-75=0
The perimeter of a rectangular field is 364 yards. If the width of the field is 85 yards, what is its length?
Answer:
[tex]\huge\boxed{97 yards}[/tex]
Step-by-step explanation:
Important Information:
Perimeter of rectangle=[tex]Lenght+Length+width+width[/tex]
Method:
The first step to work this out is to multiply the width of 85 by 2, this gives you 170.This is because a rectangle has two sets of equal sides. This means that there two widths.
The next step is to subtract 170 from the perimeter of 364, this gives you 194. This is because the formula for the perimeter of a rectangle is[tex]Lenght+Length+width+width[/tex]. This means that in order to isolate the values of the lenght we must subtract the values of the width.
The final step is to divide the value of 194 by 2, this gives you 97. This is because that is the value for 2*the length. That means in order to work out the value of 1 you would need to divide by 2.
Step By Step:
1) Multiply 85 by 2.
[tex]85*2=170[/tex]
2) subtract 170 from 364.
[tex]364-170=194[/tex]
3) Divide 194 by 2.
[tex]194/2=97[/tex]
Estimate 39 divided by 5
ummm.. i think its 7.8?
The value of the division of the number 39 by 5 is 7.8.
A mathematical procedure called division involves dividing a quantity or number into equal pieces or groups. It is used to calculate how many times one number (the divisor) may be subtracted from another (the dividend) in order to get an accurate answer or a quotient. It is the opposite operation of multiplication.
To estimate 39 divided by 5, we can use rounding to simplify the calculation.
Round 39 to the nearest multiple of 5. In this case, 39 is already a multiple of 5, so we don't need to round it.
Divide the rounded number by 5. Since 39 is already a multiple of 5, we can directly divide it by 5.
39 ÷ 5 = 7.8
So, an estimated value for 39 divided by 5 is 7.8.
To know more about division follow
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A Subaru Outback and a Freightliner Cascadia truck leave an intersection at the same time. The Outback heads west at an average speed of 70 miles per hour while the Cascadia heads south at an average speed of 45 miles per hour. Find an expression for their distance apart d (in miles) at the end of t hours.
Answer:
d = 83.22tStep-by-step explanation:
The lines form legs of a right triangle, so the distance between the cars is the hypotenuse
The lines at t hours are:
70t and 45tSo the distance d is:
d = √(70t)²+(45t)² = √4900t²+2025t² = √6925t² = 83.22td = 83.22tA service center charges a fee of x dollars for an oil change plus y dollars per quart of oil used. A sample of its sales record
is shown.
1 Customer Oil Tank Size
(quarts)
DC
Total
Cost
$22 45
$25.45
3
Write a system of linear equations that represents this situation.
Answer:
x + 5y = 22.45
x + 7y = 25.45
Step-by-step explanation:
Given:
Customer A oil tank size = 5 quart
Customer B oil tank size = 7 quart
Total cost for A = $22.45
Total cost for B = $25.45
Find:
Equation
Computation:
So,
x + 5y = 22.45
x + 7y = 25.45
You buy a circular rug with a diameter of 8 feet. How much floor space will the rug cover
Answer:
25.12
Step-by-step explanation:
8*3.14=25.12
Answer: 59.24 feet
Step-by-step explanation:
Try me IF you can !!!!!!!!!!!
.
.
.
.
.
.
.
.
. 0+0=?
Answer: 0?
Step-by-step explanation:
Caleb has 76 apples. He wants to bake as many pies as he can. If it takes 8 apples to make each pie, how many apples will he use? How many apples will not be used?
A family wants to rent a car to go on vacation company a charges $70.50 and $.14 per mile Company B charges $40.50 and $.10 per mile how much more does company A charge for X Miles then company B
Answer:
15+0.04x
Step-by-step explanation:
5x – 2 = 13
..........ASAP
Answer:
x=3
Step-by-step explanation:
The bangrito
I’m about to go take my permit test do you think ill pass?
Answer:
You might. Just remember to study for it. Road signs are easy.
Step-by-step explanation:
To pass the written test, you must correctly answer at least 14 of the 20 questions asked, but you must correctly answer two of the four questions about road signs. This test is intended to help you prepare for the types of questions you will be asked on the written test. The questions on the actual test may vary.
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
What is the greatest number of bricks Lynn can make?
(blank)( bricks
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
(blank ) pounds
Answer:
Um, no lo sé, lo siento, solo necesito los puntos
Step-by-step explanation:
jack is thinking of two whole numbers
the sum of the number is 13
the difference between the numbers is 1
what is the product of the numbers
Answer:
Their product is 42
Step-by-step explanation:
Let the numbers be A and B
Such that:
[tex]A + B = 13[/tex]
[tex]A - B = 1[/tex]
Required
Determine A * B
Add both equations together:
[tex]A + A + B - B = 13 + 1[/tex]
[tex]2A = 14[/tex]
Solve for A
[tex]A = 7[/tex]
Substitute 7 for A in the second equation
[tex]7 - B = 1[/tex]
Make B the subject
[tex]B = 7 - 1[/tex]
[tex]B = 6[/tex]
Hence,
A = 7 and B = 6
So:
[tex]A * B = 7 * 6[/tex]
[tex]A * B = 42[/tex]
The product of the two numbers will be 42.
Let the two numbers be A and B
A + B = 13
A - B = 1
A = 1 + B.
Therefore, since A + B = 13, then (1 + B) + B = 13
1 + 2B = 13
2B = 13 - 1
2B = 12
B = 6
A = 6 + 1 = 7
Since the numbers are 6 and 7, then multiplying them is 42.
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1. A school gym has a width of 270 ft. Which of the following is equivalent to 270 ft?
90 yd
810 yd
9 yd
Not here
Answer:
It should be 90
Step-by-step explanation:
Because 270 divided by 3 is 90
Abcd is a Square, where AE=1.4. Use the properties of a square to determine the length of BD. Please help!
Answer:
2.8
Step-by-step explanation:
1.4 is AE correct?
Well then, BD is twice the length of that, so multiply by 2 to get 2.8.
Answer:
Step-by-step explanation:
2.9
What’s the value of x?
Answer:
x=6
Step-by-step explanation:
We know that <AWV is 90, so we can set up an equation. This equation is 54+3x+18=90, we know this is true because the two smaller angles are complementary. Then to find x simply solve the equation.
First, add like terms
3x+72=90
Then, subtract 72 from both sides
3x=18
Finally, divide both sides by 3
x=6