Answer:
16428 oranges
Explanation:
Total yield = number of trees × number of oranges in each tree
Initial yield = 600×24= 14400 oranges
To find the equation needed, let x = additional trees and y= total yield
Number of trees = 24 +x
Number of oranges in each tree = 600-12x
Equation of total yield y= (24+x)(600-12x)
y= 14400-288x+600x-12x²
y= -12x²+312x+14400
Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a
A quadratic equation is such: ax²+bx+c
Therefore x =-312/2×-12
x= -312/-24
x= 13
So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:
24+x=24+13= 37 trees in total
y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400
=16428 oranges in total yield
The number of trees that gives the most yield is 37
The given parameters are:
Trees per acre = 24Yield = 600Represent the additional number of trees with x.
So, we have:
Trees per acre = 24 + xYield = 600 - 12xThe equation that represents the total yield (y) becomes
[tex]y = (24 + x) \times (600 - 12x)[/tex]
Expand
[tex]y= 14400-288x+600x-12x\²[/tex]
Evaluate the like terms
[tex]y= 14400+312x-12x\²[/tex]
Rewrite as:
[tex]y= -12x\²+312x+14400[/tex]
Differentiate
[tex]y'= -24x+312[/tex]
Set to 0
[tex]-24x+312 = 0[/tex]
Solve for x
[tex]-24x=-312[/tex]
[tex]x=13[/tex]
Recall that:
Trees per acre = 24 + x
This gives
[tex]Trees = 24 + 13[/tex]
[tex]Trees = 37[/tex]
Hence, the number of trees that gives the most yield is 37
Read more about quadratic functions at:
https://brainly.com/question/11631534
At an electronics store, the price of a tablet is marked down 15% to $212.50
What was the price of the tablet before the markdown?
Enter your answer in the box.
Please ai need answers fast!!!!
Answer:
$250
Step-by-step explanation:
$212.50 is 85% of the original price.
Therefore use the equation below to find out original price.
(original price) * 0.85 = 212.50
original price = 212.50 / 0.85 = 250
Answer:
250
Step-by-step explanation:
hope this helps
If f(x)= x^2-2x+3, find the value of f (-2) and f(3)
Step-by-step explanation:
Given
f(x) = x² - 2x + 3
Now
f(-2) = (-2)² - 2 * ( -2 ) + 3
= 4 + 4 + 3
= 11
f(3) = 3² - 2 * 3 + 3
= 9 - 6 + 3
= 12 - 6
= 6
Hope it helps :)
7. What is the smallest angle in the triangle below?
Answer:
Angle a is the smallest
A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.
Answer:
67 dollars and 20 cents
Step-by-step explanation:
2.10 per thumb cover
32x2.10=67.2
Answer:
if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50
Step-by-step explanation:
Let f(x) = 2x - 5 and g(x) = 3x. Perform the indicated
operation.
g(x)/f(x)
SOMEONE HELP PLZ
Answer:
f{3x}=6x-5
Step-by-step explanation:
There isn't really much to do: if you perform the division between function you get a new function:
[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]
What is the LCD of 7/8 and 3/4?
Answer:
x/8
Step-by-step explanation:
Answer:
I believe the LCD is 8
Step-by-step explanation:
hope that helps
Troy wrote the equation in the box to find a solution to a problem.
6x = 42
Which problem could Troy be solving?
Troy set the microwave to defrost for 42 minutes. He later increased the time by another 6 minutes. What is the total time the microwave defrosted?
Troy bought movie tickets for 42 people. What is the total cost of the tickets if each ticket is $6?
Troy worked 6 days this week. If his timesheet totals 42 hours in those $6 days, how many hours did Troy average each day?
Troy sprinted 42 yards on Monday. On Friday, he sprinted $6 times as far. How far did Troy sprint on Friday?
I need help ASAP this is a grade!!
Please help me and show work thank you
Answer:
-21
Step-by-step explanation:
We can use the opposite operation and subtract 4.3 from -16.9 to find out what w is. From that, we will get -21.
(I'm really sorry, I'm bad at explaining things but I hope this helped)
I tried to answer this one and got it wrong the question is “find the measure of each angle indicates”
Answer:
∠F = 80
Step-by-step explanation:
Let's find inner ∠D first, as you can see, it's a straight line but a line is in between, the outer angle is 120, and a straight line is 180, so 180 - 120 = 60. The inner ∠D is 60, now we can find ∠F, a triangle is 180:
40 + 60 + ∠F = 180
100 +∠D = 180
subtract 100 from both sides
∠F = 80
If 21% = 96 students how many students is 1%.
Or you can help with the whole question
Answer:
1% are 5 students
Step-by-step explanation:
21% is 96 then
1% is X
X = 1*96 / 21
X = 5
85 POINT QUESTION!!! What is the equation of this trend line? Enter your answers by filling in the boxes. K = J + Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable J. The vertical axis is labeled Variable K. Points are plotted at begin ordered pair 2 comma 16 end ordered pair, begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 16 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 5 and 93 hundredths comma 9 and 62 hundredths end ordered pair, begin ordered pair six comma 12 end ordered pair, begin ordered pair 6 comma 16 end ordered pairm beign ordered pair 10 comma 2 end ordered pair, begin ordered pair 10 comma 8 end ordere dpair. A line is drawn through begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 6 comma 16 end ordered pair, and begin ordered pair 10 comma 8 end ordered pair.
The answer for this question would be K=-2J+28. I hoped I helped!
Answer:
K=-2J+28
Step-by-step explanation:
i took the k 12 test
8
7
6+
5
4 3
N
1
-8 -7 -6 -5 4ß -2
-1
1
2 3 4 5 6 7 8
-2
-3
-5
-6
-7
-8+
The system of equations has
O one solution
no solution
infinitely many solutions
Answer:
no bro
Step-by-step explanation:
no
What is the zscore with a confidence level of 95% when finding the margin of error for the mean of a normally
dstrbutad populaticn from a sarple?
O.99
1.65
1.96
2.58
Answer:
Z score with a confidence level of 95% is 1.96
Step-by-step explanation:
The computation of the z score with the confidence level of 95% is shown below:
While determining the margin of error for the normally distributed population from the sample, the z score of the confidence level of 95% is 1.96
The same is to be considered
Therefore the third option is correct
What is the cost of a 5-mile taxi ride if the charge is $3.50 to start plus $2.70 per mile? Please show the work with the answer. TY!
Answer:
17
Step-by-step explanation: First multiply 2.70 by 5 which would equal 13.50. Then, add 13.50 and 3.50 would equal 17.
Please give brainliest if this helps. Thanks!
A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width of the bed the area of the concrete pad must be 80 ft.² write the quadratic equation that will be used to find the dimensions of the pad
Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
Given the following data;
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
[tex] l = 11 + w[/tex]
We know that, the area of rectangle, A = length * width
[tex] A = l*w[/tex]
Substituting the values into the equation, we have;
[tex] 80 = (11 + w)w[/tex]
Expanding the bracket, we have;
[tex] 80 = 11w + w^{2}[/tex]
[tex] w^{2} + 11w - 80 = 0[/tex]
*Solving the quadratic equation by using factorization method*
[tex] w^{2} + 16w - 5w - 80 = 0[/tex]
[tex] w(w + 16) - 5(w + 16) = 0[/tex]
[tex] (w - 5)(w + 16) = 0 [/tex]
Width, w = 5 feet or w = -16 feet.
Therefore, the width of the concrete pad is 5 feet or -16 feet.
To find its length, l;
[tex] l = 11 + w[/tex]
When w = 5 feet
[tex] l = 11 + 5[/tex]
Length, l = 16 feet
When w = - 16 feet
[tex] l = 11 + (-16)[/tex]
[tex] l = 11 - 16[/tex]
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
A florist is making a fower bouquet for a client. The client wants the bouquet to have a ratio of 3 carnations to 5 peonies. Which of
these bouquets meets the clients needs?
A. a bouquet of 9 carnations and 20 peonies
B.
a bouquet of 9 carnations and 15 peonies
С.
a bouquet of 6 carnations and 15 peonies
D.
a bouquet of 6 carnations and 20 peonies
Considering the 9th slab of tax structure of Pakistan for 2020-2021, Where the taxable salary income exceeds Rs. 12,000,000 but does not exceed Rs. 30,000,000 the rate of income tax is 2,345,000 + 27.5% of the amount exceeding Rs. 12,000,000. If we create a mathematical Model of the tax structure, the function for this particular slab will be:
0.275x
0.275x-12000000
0.275x-955000
0.275x-2345000
9514 1404 393
Answer:
(c) 0.275x-955000
Step-by-step explanation:
The amount exceeding 12,000,000 can be described by ...
x - 12,000,000
Then 27.5% of that is ...
0.275(x -12,000,000) = 0.275x -3,300,000
Adding 2,345,000 to that gives the expression ...
2,345,000 +(0.275x -3,300,000) = 0.275x -955,000
Reba got home from school at 2:55 P.M. and played video games for 1 hour and 20 minutes. Then, it took her 1 hour and 35 minutes to finish her homework. What time was it when Reba finished her homework?
Include A.M. or P.M. in your answer Please help me fast!!!
1. Given that ADEF
AABC, determine the length of side DF.
A
15
Answer:
DEF/3 = BAC
AC(7) x 3 = 21
The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution? Round your answer to the nearest hundredths.
Answer:2.99 on edge
Step-by-step explanation: i got the question wrong just for the answer hope this helps
Answer:
2.99 on edge
Step-by-step explanation:
I need the answers for #7 and #8
Answer:
7. x=9, y=7 The first number is 9, and the second number will be 7.
8. h= $2.25 c= $1.19 The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.
Step-by-step explanation:
7. First lets define the variables: x=first number; y=the second number
Now we set up a system of equations:
Eq. 1. 2x+y=25 Eq. 2. 3x-y=20
Now we solve (I'm going to use subsitution you can use wtv you are comfortable with)
1. 2x+y=25 1. y=25-2x
Subsitute.
2. 3x-y=20 2. 3x- (25-2x)=20
Simplify.
3x-25+2x=20 5x-25=20 5x=45 x=9
Now solve for y by subsituting x into one of the equations.
1. 2x+y=25 2(9)+y=25 18+y=25 y= 7
The first number is 9, and the second number will be 7.
8. Define the variables.
h= cost of a hotdog; c=cost of a bag of chips
System of Equations:
Eq. 1. 5h+3c=14.82 Eq. 2. 7h+6c=22.89
Now solve.
1. 5h+3c=14.82 2. 7h+6c=22.89
Using subsitution...
h=2.25 c=1.19
The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.
Joshua observed the changes in a cake when it was baked in an oven. What best explains that he observed a chemical change? (5 points)
a
He saw the rising batter form the cake in the oven.
b
He saw the cake expand outside the rim of the baking dish.
c
He noticed the flour and other ingredients lose their unique properties.
d
He noticed the steam from the moisture rise in the oven.
Answer:
a
Step-by-step explanation:
solve In 2010, the percentage of assisted living residents who had both heart disease and depression was 9%, the percentage with only heart disease was 25%, and the percentage with either condition was 48%. What percentage of assisted living residents had only depression
Answer:
The percentage of assisted living residents had only depression
P(D) =0.32
Step-by-step explanation:
Explanation:-
Given the percentage of assisted living residents who had both heart disease and depression was 9%
Let The event 'H' be the event of heart disease and 'D' be the event of depression
P(H ∩D) = 9% =0.09
The percentage with only heart disease was 25%
P(H) = 0.25
The percentage with either condition was 48%.
P(H∪D) = 48%=0.48
By addition theorem on probability
[tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]
[tex]0.48 = 0.25 + P(D) -0.09[/tex]
P(D) = 0.48 -0.16
P(D) = 0.32
The percentage of assisted living residents had only depression
P(D) =0.32
What is an equation of the line that passes through the points (4,-2) and (8,3)?
Answer:
[tex]y-4=\frac{5}{4} (x+2)[/tex]
Step-by-step explanation:
First you can find the slope of the line that would pass through those two points using the formula:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{3-(-2)}{8-4}[/tex]
m=5/4
Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.
So,
[tex]y-4=\frac{5}{4} (x+2)[/tex]
(don't leave out the parentheses!)
A bag contains 70 coins consisting of quarters and dimes. The total value of coins is $11.50. Which system of equations can be used to determine
the number of quarters, q, and the number of dimes, d, in the bag?
A. d+9= 70
0.100 +0.25q = 11.50
B. d + 9 = 70
0.25d + 0.107 = 11.50
C. d+q = 11.50
0.25d + 0.10g = 70
D. d +9 = 11.50
0.100 +0.25= 70
Juan rides his bike 97 miles to and from school each month.
Part A
How can you use compensation to find the number of miles he rode in 6 months?
A.
97 is close to 100, so multiply 6 × 100 and then add 6 × 3.
B.
97 is close to 100, so add 6 + 100 and then multiply by 6 + 3.
C.
97 is close to 100, so add 6 + 100 and then add 6 × 3.
D.
97 is close to 100, so multiply 6 × 100 and then subtract 6 × 3.
Answer:
cvfgrtyukjmn
Step-by-step explanation:
A line is a(n)...... for a function if the graph of the function gets closer and closer to touching the line but never reaches it.
A.) asymptote
B.) diagonal
C.) estimation
D.)diagram
E.) array
Write a function rule that best models the data in the table. (0,3), (1,4),(2,7,(3,12)
A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month?
Answer:
The customer send and receive 15 GB of data during the month.
Step-by-step explanation:
Given;
Monthly charge for 6 GB of data = $67.95
Additional charge for each additional GB of data over 6 GB = $8.95
Bill received by the customer = $148.50
Therefore, we have:
Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55
Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB
Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB
Therefore, the customer send and receive 15 GB of data during the month.
Barry has 7 coins, all of which are quarters and nickels. In all, they're worth $1.35. How many of each kind of coin does Barry have?
Answer:
5 quarters
2 nickels
Step-by-step explanation:
Answer:
5 quarters and 2 nickels.
Step-by-step explanation:
One quarter is equal to 25. 25x5=125. So, it would be 5 quarters because you wouldn't be able to go any farther without going over. One nickel is 5 and if you have 2 nickels you get 10. 10+125=135. So, there will be 2 nickels and 5 quarters.
Hope this helped!