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Gelneren [198K]
2 years ago
15

Roberto farms a tract of land that typically yields 69.6 kilograms of peas. A fertilizer manufacturer claims that its fertilizer

will produce a 60% increase in the yield. What total amount of peas should Roberto expect from this tract of land if he applies the fertilizer? If necessary, round your answer to the nearest hundredth.
Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0

Answer:

Answer is 111.36 kilograms

Step-by-step explanation:

I hope it's helpful!

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Need help with these 3 questions please explain how you do It. Thx!
Ilya [14]
1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4;  Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is    f(t) = 2t^2 - 22t + 100.

2. By the compound interest formula:
    A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
    results A(t) = 100 (1+0.12)^t.

3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
4 0
3 years ago
.
Sunny_sXe [5.5K]

The solutions of the equations are -1.3 and -7.7

Step-by-step explanation:

The quadratic formula of solving the quadratic equation

ax² + bx + c = 0, where a, b and c are constant is:

x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}

To solve the quadratic equation by using the quadratic formula

1. Find the values of a , b and c from the equation

2. Substitute the values of a , b and c in the quadratic formula

3. Find the two values of x

∵ x² + 9x + 10 = 0

∴ a = 1 , b = 9 and c = 10

∵ x=\frac{-9+\sqrt{(9)^{2}-4(1)(10)}}{2(1)}

∴ x=\frac{-9+\sqrt{81-40}}{2}

∴ x=\frac{-9+\sqrt{41}}{2}

∴ x = -1.3

∵ x=\frac{-9-\sqrt{(9)^{2}-4(1)(10)}}{2(1)}

∴ x=\frac{-9-\sqrt{81-40}}{2}

∴ x=\frac{-9-\sqrt{41}}{2}

∴ x = -7.7

The solutions of the equations are -1.3 and -7.7

Learn more:

You can learn more about quadratic equation in brainly.com/question/8196933

#LearnwithBrainly

6 0
3 years ago
The polynomial p{x) = x4 -2x3 + 3x2 -ax+3a-7 when divided by x+1 leaves the remainder 19. Find the values of a. Also, find the r
Mrrafil [7]

Answer:

a = 5

Remainder when p(x) is divided by x+2 = 62

Step-by-step explanation:

Given:

P(x) = x⁴-2x³+3x²-ax+3a-7

When x+1 divides the polynomial p(x) the ramainder is 19.

Applying remainder theorem,

x = -1

p(-1) = 19

Substitute the x = -1 into the polynomial expression

p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19

1+2+3+a+3a-7 = 19

6-7+4a = 19

4a-1 = 19

4a = 19+1

4a = 20

a = 20/4

a = 5.

Hence, a = 5

p(x) = x⁴-2x³+3x²-5x+8

If p(x) is divided by x+2,

Then the remainder is p(-2)

p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8

p(-2) = 16+16+12+10+8

p(-2) = 62

Hence the remaider when p(x) is divided by x+2 is 62

5 0
3 years ago
student council at Smith Valley High School is planning to sell t-shirts as part of a fundraiser using company A, the shirts cos
Sergio [31]

function rule describes the amount of profit that will be made by the student council on the shirt sales is  7.5x-45 .

<u>Step-by-step explanation:</u>

Here we have , student council at Smith Valley High School is planning to sell t-shirts as part of a fundraiser using company A, the shirts cost $4.50 each. The student council has to pay the shirt company a design fee of $45. the shirts will be sold for $12 each. We need to find a function rule describes the amount of profit that will be made by the student council on the shirt sales . Let's find out:

Each shirt cost $4.50 . The student council has to pay the shirt company a design fee of $45. the shirts will be sold for $12 each , So the total amount of t shirt he sell is :

⇒  12x , where x is the number of t shirts !

Now , expenses is given by :

⇒  45+4.5x , where x is the number of t shirts !

So , Profit made is :

⇒  12x-(45+4.5x)

⇒  7.5x-45

Therefore , function rule describes the amount of profit that will be made by the student council on the shirt sales is  7.5x-45 .

8 0
3 years ago
What is the area of the regular pentagon shown below? Round your answer to
lianna [129]

Answer:

C. 10 sq. units

Step-by-step explanation:

Area of a pentagon = 1/2 * apothem * perimeter

1/2*(1.62)(2.36*5)=0.81*11.8=9.558

Therefore, about 10 sq. units, or option C.

I hope this helped and have a good rest of your day!

3 0
3 years ago
Read 2 more answers
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