The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 630 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 100 cubic of feet of fertilizer are applied, the yield will be 900 pounds of strawberries. Use linear interpolation to estimate the yield if 73 cubic feet of fertilizer are applied.

Answers

Answer 1

Answer:

657 pounds

Step-by-step explanation:

Given

Represent the amount of fertilizer with x and the yield with y.

So, we have:

[tex](x_1,y_1) = (70,630)[/tex]

[tex](x_2,y_2) = (100,900)[/tex]

Required:

Determine the yield (y) when fertilizer (x) is 73ft^3

Using linear interpolation, we have:

[tex]y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Substitute the x and y values using

[tex](x_1,y_1) = (70,630)[/tex] and [tex](x_2,y_2) = (100,900)[/tex];

We have:

[tex]y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}[/tex]

[tex]y = 630 + (x - 70)\frac{270}{30}[/tex]

[tex]y = 630 + (x - 70)*9[/tex]

Open bracket

[tex]y = 630 + 9x - 630[/tex]

[tex]y = 9x - 630+630[/tex]

[tex]y = 9x[/tex]

To solve for y when x = 73.

We simply substitute 73 for x

[tex]y = 9x[/tex]

[tex]y = 9 * 73[/tex]

[tex]y = 657[/tex]

Hence, the yield for 73 cubic feet is 657 pounds


Related Questions

2. Sandra plans to swim a total of 2 2/3 miles every week for 2 1/5
weeks. How many miles is Sandra planning on swimming?

Answers

Answer:

5 13/15 miles

Step-by-step explanation:

How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word

Answers

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

find the value of x then classify the triangle by its angles

Answers

Answer:

x = 134°

Step-by-step explanation:

Let

[tex]\angle A=64^{\circ}\\\\\angle B =70^{\circ}[/tex]

We need to find the value of x.

We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,

[tex]x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}[/tex]

Hence, the value of x is 134°

Identify the common difference of the sequence: –8, –1, 6, 13

Answers

Using arithmetic sequence concepts, it is found that the common difference of the sequence is of -7.

Arithmetic sequence:In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.

In this problem, the sequence is: {-8, -1, 6, 13}

The difference between consecutive terms is:

[tex]13 - 6 = 6 - (-1) = -1 - (-8) = 7[/tex]

Hence, the common difference of the sequence is of -7.

You can learn more about arithmetic sequence at https://brainly.com/question/6561461

A and B are independent events.
P(A) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
O B. 0.6
O C. 0.4
D. Not enough information

Answers

Answer:

Not enough information

if you answer this you are a genius.

Answers

mass divided by volume = density... I dont know the exact answer but i hope this helps

Answer:

Question 1: 3380g

Question 2: 2g/cm^3

Step-by-step explanation:

I used online mass and density calculators. Hope this helps :)!

Understanding how a budget is created will help you develop good financial decision making skills. This is known as: Question 3 options: Financial expertise Financial literacy Accounting Math

Answers

Answer:

True mate

Step-by-step explanation:

The  budget is created to develop good financial decision-making skills, is known as Financial literacy. Thus, option 2nd is correct.

What is Budget?

Budget refers to the blueprint of the expenses and income of the individual or the corporation. It is the estimation of the net revenue after deducing all losses and expenses for the specific period of time. After the expiry of the specific period, the new budget is prepared.

Government also prepares the budget to calculate the deficit or surplus in the government spending. Therefore, It can be prepared by a person, group, business or government organization.

Financial literacy refers to confident of understanding the concepts regarding the finances of the person and his savings. It is study about the money related affairs.

Therefore, it can be concluded that option 2nd is correct.

Learn more about Budget here:

https://brainly.com/question/17198039

#SPJ2

2+2jjjjjjkkkkkkuyuoo

Answers

Akshsishsbsushabahhshshsbzjsjjs

Answer:

4

Step-by-step explanation:

1+1+1+1=2+2=4

Can someone help me on these questions?

Answers

Me not good on math matics I sorry hybrid

Answer:

I can give you a few of them, sorry

Step-by-step explanation:

5) obtuse 6)straight 7)right 9) 24°

A model of a telescope has a height of 15 inches and and a diameter of 3.5 inches. If the actual diameter is 10 inches, find its actual height.

Answers

Answer:

The actual height of telescope is 42.85 inches

Step-by-step explanation:

Given that:

Height of model of telescope = 15 inches

Diameter of model of telescope = 3.5 inches

Actual diameter of telescope = 10 inches

Actual height of telescope = x

Ratio of model's diameter to height :: Ratio of actual diameter to height

3.5 : 15 :: 10 : x

Product of extreme = Product of mean

3.5*x = 10*15

3.5x=150

Dividing both sides by 3.5

[tex]\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85[/tex]

Hence,

The actual height of telescope is 42.85 inches

Are the equation linear or nonlinear?​

Answers

Answer:

Results below

Step-by-step explanation:

Equation of the line

A straight line can be written in the form:

y = ax + b

Where a and b are constants and x is the independent variable.

The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.

From the equations presented in the table:

[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1

y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.

y = x is linear with a=1 and b=0

[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2

[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2

The table below summarizes the results

i am a decimal number less than 1. the digit in my tenths place is an even prime number. my hundredths digit is twice my tenths digit, and my hundred thousandths digit is twice my hundredths digit. the thousandths digit is three less than my hundredths digit. my ten thousandths digit is the sum of my tenths and thousandths digit. what number am i?

Answers

Answer:

.

Step-by-step explanation:

Answer:

0.24857

Step-by-step explanation:

Less than 1 is 0. and

only even prime is 2

which could be the name of a plane?

Answers

Answer: where are the options?

Step-by-step explanation:

Answer:

There is not enough information presented to give an answer

Step-by-step explanation:

If you add more information, I will try and answer it for you

Which of the following are two-step equations? Choose more than
one answers

Answers

Answer:

i think a b d f

Step-by-step explanation:

using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².​

Answers

Answer:

D

Step-by-step explanation:

What expression is equivalent to 12y + (7y)(3)

Answers

Answer:

I got 33y

Step-by-step explanation:

hi if its right but here

Answer:

57y

Step-by-step explanation:

if f(x) = x^2 + x , find f(-3) a)-12 b)3 c)6

Answers

C is the answer
(-3)^2=9
9+(-3)=6

PLEASE HELP ME ILL GIVE 5 STARS ASAP PLEASE
Ron drew a scale drawing of a neighborhood park. The scale he used was 1 centimeter: 2 meters. The actual width of the volleyball court is 8 meters. How wide is the volleyball court in the drawing?


Answer

Answers

16 wide

Step-by-step explanation:

because i do 8 x 2

Answer: 4 cm will equal the width of the volleyball court on the scale drawing

Step-by-step explanation:

1cm = 2m

8m/2m =4 cm

What is the range in interval notation?

Answers

Answer:

The blue box

Step-by-step explanation:

Youre talking about range which takes place on the y-axis (domain is the x-axis).

The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.

Black friday sale on TVs were 50 in tv for $148.00 or 65 in for $199.00 which is the better buy this is not worth a grade just some understanding​

Answers

Answer:

i personally think the 65 in. one

Step-by-step explanation:

2x - y = -2,X + y = -1

Answers

Answer:

x=-1, y=0

Step-by-step explanation:

Hope this is right!!

Write the ratio as a fraction in lowest term: 15 to 36​

Answers

Answer:

5/12

Step-by-step explanation:

15 to 36 can also be written as 15/36.

Divide by common values to simplify.

15÷3/36÷3

5/12

Best of Luck!

Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.

y = 0
y = 3
x = 0
x = 3​

Answers

Answer:

x = 0

Step-by-step explanation:

The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0

f(x) = 2^x +3.

0 = 2^x +3.

2^x +3. = 0

2^x = -3

log 2^ x = log(-3)

x log2 = log(-3)

x = log(-3)/log 2

Hence the required function is when x = 0

Bismuth-214 has a half-life (50%) of approximately 20 minutes. Find the amount of Bismuth-214 left
from a 40-gram sample after 2 hours.

Answers

la verdad no se la respuesta perdón

Answer: 3.36

Step-by-step explanation:

f(x)=214(1-.50)^6                       6= amount of times 20 min goes into 2 hrs

f(x)=214(.50)^6

.5^6=.0157

f(x)=214(.0157)

       3.36

Please explain how to do this please show work

Answers

Answer:

(x-1)(x+4)

I.e x(x+4)-1(x+4)

Xsquare +4x -x -4

Xsquare +3x -4

16) The expression 100 + 5n can be used to find the total price for students to take a field trip to the
science museum. If n represents the number of students, determine the cost for 120 students(n) to
Visit the science museum.
A. $225
B.$105
C. $600
D. $700

Answers

The answer to this question is D

A sporting goods store sells two types of bicycles, in two colors. The table
shows its sales over the last year.
Road bike
Mountain bike
Total
Silver
81
39
120
Black
54
26
80
Total
135
65
200
Are buying a road bike and buying a silver bike independent events?
A. Yes, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
B. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.6.
C. Yes, because P(road bike) = 0.405 and P(road bike | silver) = 0.675.
O D. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.

Answers

Answer:

Answer D

Step-by-step explanation:

120 + 81+ 39=240 silver bikes

80+54+26= 160 black bikes

Total 200 + 135 + 65= 400

240+ 160=400

Answer:

Answer is C

Step-by-step explanation:

ap3xxx

Which relation below represents a one-to-one function? A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197. A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5. A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11. A 2-column table has 5 rows. The first column is labeled x with entries 9, 2, 4, 1, 5. The second column is labeled f (x) with entries 12, 7, 9, 13, 5.

Answers

Answer:

D is the correct answer actually

Step-by-step explanation:

just took the unit review

Answer:

d

Step-by-step explanation:

What is 1/32 as a decimal

Answers

Answer:

0.03125

Hope this helps! :)

0.03125 is the answer :) hope it helped

max is thinking of a number which he calls n

Answers

Answer:

what are you trying to ask?

Step-by-step explanation:

7 filler filler filler
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