Answer:
The correct option is;
Between 40 and 50 days
Step-by-step explanation:
The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;
S(t) = -0.3·t² + 30·t + 0.2
The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)
The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))
To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;
d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0
(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0
t = 41.419 or t = -241.419
Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.
What is x?
What is y?
Answer:
x=35, y=18
Step-by-step explanation:
the triangles are similar so they are in proportion
x/14=45/y= 40/16
[tex]\frac{x}{14} =\frac{40}{16}[/tex] find x
[tex]x= \frac{14*40}{16} = 35[/tex]
[tex]\frac{45}{y} =\frac{40}{16}[/tex] find y
[tex]y= \frac{45*16}{40} =18[/tex]
Convert to to decimal : 83/10
Answer:
8.3
Step-by-step explanation:
just move the decimal in 83 over one digit since your already just dividing by 10
Which of these graphs do not represent constant rates of change? Check all that apply. On a coordinate plane, a parabola opens up. On a coordinate plane, a line has a negative slope. On a coordinate plane, a line has a positive slope. On a coordinate plane, a line is constant and then curves rapidly up.
Answer:
A and D
Step-by-step explanation:
Got it right on Edge hope this helped!
Answer:
A&B
Step-by-step explanation:
its right on edg
Can someone tell me the two answers Plz I’ll mark brainlist and points
Answer:
21.
a) don't color the straps green
b) color the straps black
19.
a) color the shapes black
b) don't color the shapes brown
Step-by-step explanation:
P = 2(w + h)
W = 12 correct to the nearest whole number
h = 4 correct to the nearest whole number
Work out the upper bound for the value P
(urgent please)
Answer:
p=32
Step-by-step explanation:
4+12=16
16×2=32
p=32
After substituting W = 12, h = 4, in the equation P = 2(w + h), P = 32
What is upper bound?"An element greater than or equal to all the elements in a given set."
What is equation?"It is an expression which contains an equal symbol."
For given question,
Given equation: P = 2(w + h)
W = 12, h = 4
After substituting these values in given equation,
⇒ P = 2 × (12 + 4)
⇒ P = 2 × 16
⇒ P = 32
Learn more about upper bound here:
https://brainly.com/question/22965427
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Solve the system by substitution, solve by elimination. Please do both & explain. Don’t answer if you don’t know. Will mark brainliest. Thank you :)
(1)
[1] x + 5y - 4z = -10
[2] 2x - y + 5z = -9
[3] 2x - 10y - 5z = 0
Eliminate x by adding -2[1] to [2], and adding -1[2] to [3]:
-2(x + 5y - 4z) + (2x - y + 5z) = -2(-10) + (-9)
-2x - 10y + 8z + 2x - y + 5z = 20 - 9
[4] -11y + 13z = 11
-(2x - y + 5z) + (2x - 10y - 5z) = -(-9) + 0
-2x + y - 5z + 2x - 10y - 5z = 9
[5] -9y - 10z = 9
Eliminate y by adding -9[4] to 11[5]:
-9(-11y + 13z) + 11(-9y - 10z) = -9(11) + 11(9)
99y - 117z - 99y - 110z = -99 + 99
-227z = 0
z = 0
Plug this solution into either [4] or [5] and solve for y :
[5] -9y - 10(0) = 9
-9y = 9
y = -1
Plug them both into either of [1], [2], or [3] and solve for x :
[1] x + 5(-1) - 4(0) = -10
x - 5 = -10
x = -5
(2)
[1] 2x - y + z = -4
[2] z = 5
[3] -2x + 3y - z = -10
Substitute [2] into [1] and [3]:
2x - y + 5 = -4
[4] 2x - y = -9
-2x + 3y - 5 = -10
[5] -2x + 3y = -5
Solve [4] for y :
2x - y = -9
2x + 9 = y
Substitute this into [5] and solve for x :
-2x + 3(2x + 9) = -5
-2x + 6x + 27 = -5
4x = -32
x = -8
Plug this into either [4] or [5] to solve for y :
[4] 2(-8) - y = -9
-16 - y = -9
y = -5
Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?
A A dotted boundary line, because the values on the line should not be included in the solution set.
B A solid boundary line, because the values on the line should not be included in the solution set.
C A dotted boundary line, because the values on the line should be included in the solution set.
D A solid boundary line, because the values on the line should be included in the solution set.
Answer:
A
Step-by-step explanation:
trust your self because we need to Tren our selfPlease please please please help me!!!
Answer:
9c2/a4
Step-by-step explanation:
To Clarify 9c is squared and a is held to the fourth power
URGENT NEEDS ANSWERED WITHIN 20 MINUTES
Find the radius of a circle whose sector area is 59 square inches and whose arc measures 40o.
4 of the 9 tiles in the floor pattern are white. What percent of the tiles are white?
Answer:
44.5%
Step-by-step explanation:
THis is because 4/9x100=44.5, which means that 44.5% of the tiles are white
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
no pic or better explanation
Step-by-step explanation:
if you give a pic or explanation we cant help sorry
The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The cube root function is given by:
[tex]y = \sqrt[3]{x}[/tex]
The changes are as follows:
Shifted one unit down, hence 1 is subtracted from the function.Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.Hence, the equation is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
Find the value of x.
Area of circle = 25(pi)
radius = x + 3
The value of the variable x will be 2. Then the radius of the circle will be 5.
What is the area of a circle?Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius of the circle is x + 3. And the area of the circle is 25π. Then the equation will be
25π = π(x + 3)²
(x + 3)² = 25
x + 3 = 5
x = 5 - 3
x = 2
Then the radius will be
r = x + 3 = 2 + 3 = 5
The value of the variable x will be 2. Then the radius of the circle will be 5.
More about the area of a circle link is given below.
https://brainly.com/question/11952845
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Enter values for X and Y in the table to plot points in the graph
Answer:12,16
Step-by-step explanation:
Answer:
16,28. 4,16. I'm not sure though
please help its so late at night
What is the equation of the line that passes through the point (3,-2) and has a
slope of -2?
Answer:
y=-2x+4
Step-by-step explanation:
Please help!!!! The length of a rectangular garden is 3 yards more than its width. The perimeter of the garden is 36 yards. What are the width and length of the garden?
J. D. Is saving up to buy a set of Apple Airpods. It is advertised on the web site for $199. He has $56 saved. To make money, he does yardwork for his neighbors and receives $5.00 a day. How many days of yardwork will he need to complete to have enough money to buy the Airpods? His parents said they will pay the sales tax.
Answer:
29 days!
Step-by-step explanation:
$199 - $56
$143
$143/ $5 = 28.6
28.6 --> 29
Answer:
29days
Step-by-step explanation:
just work out how many fives there is there
Round 7412 to the nearest thousand.
Answer:
7000 :)
Step-by-step explanation:
The nearest thousand to 7412 is 7000.
Answer: 7000
Step-by-step explanation: When you round 7412 to the nearest thousand you should get 7000.
how many is ounces is 4 gallons
Answer:
512 ounces
Step-by-step explanation:
There are 128 ounces in a gallon.
128 x 4 = 512
Answer:
512
Step-by-step explanation:
Please help me!!
REALLY HELP ME
Answer:
10%
Step-by-step explanation:
this is because the decrease in price is $41 and if you divide by the original amount its 10%
Marcus painted one-third of his bedroom in fourth-fifths of an hour. At this rate, how long would it take him to paint the entire room?
Answer:
2 2/5 hours
Step-by-step explanation:
If Marcus takes 4/5 an hour to paint 1/3 of the room, then you have to multiply 4/5 times 3 for every 1/3 of the room.
Sorry if this is hard to understand, this is my first time answering.
Answer:
5/12
Step-by-step explanation:
I think
A drive in movie charges $9 per car plus $2 per person in the car. The total cost for going to the drive in movie when you go on x people are in the car is f(x) = 2x + 9. How will the graph of this function change if the cost per car is changed to $6 ?
Step-by-step explanation:
f(x)= 2x + 9
Cost per car
Change 9 to 6.
f(x) = 2x + 6
Because 9 was the y-intercept and it was changed to 6, or 3 units down, the function would be be translated 3 units down
Hope this makes sense!!!!
Solve the simultaneous equations:
3a-2b=14
12a+9b=39
Use the given information to write the equation of the line.
slope 2, y-intercept - 4
what is the 110th term of -1,-3,-5,-7
Answer:
-219
Step-by-step explanation:
I counted it lol :o
A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
Cost of the video game system: $
Answer:
The cost of the system is $163 and The cost of the games is $489
Step-by-step explanation:
∵ A video game system and several games are sold for $652
∵ The cost of the games is 3 times as much as the cost of the system
→ Assume that the cost of the system is $x
∵ The cost of the system = x
∴ The cost of the games = 3 × x = 3x
∵ The total cost of the system and the games = 652
→ Equate the sum of the cost of the system and the cost of the games
by 652
∴ x + 3x = 652
→ Add the like terms in the left side
∴ 4x = 652
→ Divide both sides by 4 to find x
∵ [tex]\frac{4x}{4}=\frac{652}{4}[/tex]
∴ x = 163
∵ The cost of the system = x
∴ The cost of the system is $163
∵ The cost of the games = 3x
∴ The cost of the games = 3(163) = 489
∴ The cost of the games is $489
What is the y-intercept of the graph at the right? (only type the number)
Answer:
#1: 0; #2: -35
Step-by-step explanation:
Y-intercept is where the line crosses the y-axis (the vertical one).
HTH :)
HELPPPPPP PLEASEEE HURRYYYYY
Answer:
Function B has a greater slope than Function A
Answer:
Function B has a greater slope than Function A.
Step-by-step explanation:
If you graph function B, you see that it is much steeper than function A.
3(4x+4) pls quickly:)
Answer:
12x+12
Step-by-step explanation:
3(4x+4)
you times both answers to get rid of the 3
=3 • 4x + 3 • 4
= 12x+12
because they are not like terms so you cannot do anything further.