Queremos encontrar la altura de las plantas luego de t años, dado que conocemos la altura inicial y la velocidad de crecimiento.
La ecuación de la altura es:
[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]
Con ella veremos que los arbustos miden 69cm cuando son vendidos.
Veamos como resolver esto.
h(t) es la función que modela la altura de las plantas.
Sabemos que:
[tex]\frac{dh(t)}{dt} = 1.5*t + 5[/tex]
Sí integramos, obtendremos:
[tex]h(t) = (1/2)*1.5*t^2 + 5*t + c[/tex]
donde C es una constante de integración, la cual representa la altura inicial (para t = 0) de las plantas, notar que:
[tex]h(0) = c[/tex]
Y sabemos que las plantas miden 12 cm cuando son plantadas, entonces c = 12.
La ecuación de la altura es entonces:
[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]
Esta ecuación nos da la altura en centimetros a tiempo t.
Sabemos que los arbustos se venden luego de 6 años, entonces la altura que tendran cuando son vendidos es:
[tex]h(6) = 0.75*6^2 + 5*6 + 12 = 69[/tex]
Es decir, los arbustos miden 69cm cuando son vendidos.
Sí quieres aprender más, puedes leer.
https://brainly.com/question/25180768
.
-1 + 4c = -19
-
-
C =
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
-1 + 4c = -194c = -19 + 14c = -18c= -18/4c = 9/2Hope it helps!
Brainliest pls!
Follow me! ♧
The length of a rectangular garden is 22 feet longer than its width. If the area of the garden is 408 square feet, what are the dimensions of the garden?
Length=
Width=
Answer:
Length = 34 ft
Width = 22 ft
I know for SURE!
Pls mar branliest!!
Answer:
Length = 34
Width = 12
Step-by-step explanation:
Let the lenght of the garden be denoted by L, and let the width of the gardne be denoted by W.
The length of a rectangular garden is 22 feet longer than its width: L=W+22
The area of the garden is 408 square feet: A=LW=408
SubW+22 in for L in the equation LW=408 :
LW=408
(W+22)W=408
[tex]W^{2}[/tex]+22W-408=0
(W-12)(W+34)=0
So we have W=12 and W=-34. However, W can't be equal to -34 as width can't be negative. Therefore, the width of the garden is 12feet.
L=W+22=12+22=34. The length of the garden is 34feet.
What is this answer
Answer:
2^3 + 5^2 = 34
7^2 - 3^3 = 22
8^2 + (square root) 100 = 74
Step-by-step explanation:
Hope this helps! Lol I couldn't find the square root symbol.
what is the mean of 22, 24, 28, 19, 27
Answer:
Mean = 24
Step-by-step explanation:
Mean = (Sum of Terms) ÷ (Total numbers of Terms)
Mean = (22 + 24 + 28 + 19 + 27) ÷ 5
Mean = 120 ÷ 5
Mean = 24
Correct answer will get brainiest
Answer:
x=75
Step-by-step explanation:
(2x-67)+(x-23)+3x=360
6x-67-23=360
6x=450
x=75
Solve each system by elimination.
3) 3x + 4y = 12
-3x - y = 6
4) -5x – 6y = 5
-6x + 6y = 6
5) 7x - 4y = 19
10x - 2y = 16
6) 10x - 9y=-13
5x – 3y =-11
Answer:
3) x = -4 and y = 6
4) x = -1 and y = 0
5) x = 1 and y = -3
6) x = -4 and y = -3
Step-by-step explanation:
3) Add the equations:
(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)
= 3y = 18
y = 18/3
y = 6
3x + 4(6) = 12
3x = 12 - 24
x = -12/3 = 4
4) Add the equations:
(-5x - 6y = 5) + (-6x + 6y = 6)
-11x = 11
x = -1
-5(-1) -6y = 5
-6y = 5 - 5
y = 0
5) 7x -4y = 19
10x - 2y = 16
Multiply the second equation by -2 to eliminate the y and add both equations.
-2(10x -2y = 16) =
(-20x + 4y = -32) + (7x - 4y = 19)
-13x = -13
x = 1
7(1) - 4y = 19
-4y = 19-7
y = 12/-4
y = 3
6) multiply the second equation by -2 to eliminate the x and then add the equations.
-2(5x - 3y = - 11) =
(-10x + 6y = 22) + (10x - 9y = - 13)
= -3y = 9
y = - 3
10x - 9(-3) = - 13
10x = -13 - 27
x = -40/10
x = -4
(1)Kamlesh brought a juice bottle of 5 litres. He drank 214 litres
of juice in one day. How much juice is left in the bottle?
Answer:
I think there is a typing error it should be 214 ml
Step-by-step explanation:
1 litre = 1000 ml
5 litre= 5000ml
5000- 214= 4786
hope it helps :)
Give an example of a number between 20 and 50 which is a multiple of 3 and also a factor of 84.
Answer:
69
Step-by-step explanation:
by eliminating 20 from 84 we get 64 then add the 3 to get 67 and then we know that we always add 2 to our answers and therefore get 69
please solve the questions
please hurry
it's in the attachment hope it helps you
Part A and Part C the same? Why or why not?
Answer:
is part 1 and part 3 the same, no
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
A bank loaned out $13,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled $1500, how much was loaned at 7%?
Answer:
Total yearly interest for the two accounts is: $1500
Step-by-step explanation:
Total amount of money invested: $13000
x+y=13000,
Total yearly interest for the two accounts is: $1500
0.07*x+0.17*y=1500
x=13000-y
Substitute for x
0.07*(13000-y)+0.17*y=1500
Multiply out
910-0.07y+0.17*y=1500
Combine like terms.
0.1*y=590
Isolate y
y=$ 5900.00 at 17%
x=13000-y
Calculate x
x=$ 7100.00 at 7%
Check
0.07*7100+0.17*5900=1500
497+1003=1500
1500=1500
If this statement is TRUE and neither amount is negative then all is well
(Hope this helps can I pls have brainlist (Crown)☺️)
Which of the following are remote interior angles of angle 1? Check all that apply
A. <5
B. <2
C. <3
D. <1
E. <4
F. <6
Answer:
it will be 4 because it can't share it's vertex ✌
The equation of a line is given below -9x+3y=-12
Find the slope and the y intercept then use them to graph the line I also need to know where to plot the points I’ll give BRAINLIEST
Answer:
slope = 3
y-intercept = -4
Step-by-step explanation:
In order to find the slope and the y-intercept, transform the given equation into its slope-intercept form, y = mx + b:
Add 9x to both sides:
-9x + 9x + 3y = 9x - 12
3y = 9x - 12
Divide both sides by 3:
[tex]\frac{3y}{3} = \frac{9x - 12}{3}[/tex]
y = 3x - 4 This is the slope-intercept form where the slope, m = 3, and the y-intercept, b = -4.
To graph the line, start at the y-intercept (0, -4). Then, use your slope, m = 3 (rise 3 units, run 1 unit). Attached is a screenshot of the graphed line, using the rise/run technique. I also plotted extra points.
A line passes through the points (0,5) and (3,6). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 1/3x + 5
Step-by-step explanation:
Slope = (change in y)(change in x)
Slope = (6 - 5)/(3 - 0)
Slope = 1/3
Substitute m = 1/3 and one given ordered pair into y = mx + b. using (3, 6)
y = mx+ b
6 = 1/3(3) + b
6 = 1 + b
5 = b
the equation is y = 1/3x + 5
George has steak and chicken in the freezer. The temperature of the steak is -5.7°C, and the temperature of the chicken is -5.7°C. Which of the following is true?
A.
steak's temperature < chicken's temperature
B.
steak's temperature > chicken's temperature
C.
steak's temperature = chicken's temperature
Answer: The answer is steak's temperature = chicken's temperature since they are both -5.7°C
To rent a certain meeting room, a college charges a reservation fee of $13 and an additional fee of $5 per hour. The chemistry club wants to spend less than
$43 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
2 hours or lower
Step-by-step explanation:
$13 + $5t = fee
13 + 15t = 43 --> minus 13 on both sides
15t = 30 --> divide by 15 on both sides
t = 2
Answer: t=6
Explanation:
They want to spend less than $43, 43-13=30 and 30/5=6, Therefore they could have 6 hours max, if the initial reservation fee is $13 and and additional $5 per hour.
Round 3 72/120 to the nearest whole
Answer:
4
3 72/120
÷24 ÷24
3 3 / 5 = 3 + 3/5 = 3 + 6/10 = 3 + 0.6 = 3.6 ≈ 4 rounded to the nearest half since 3.6 is closer to 4 than 3
Step-by-step explanation:
Can you mark me as brainliest?
Please , I need help ASAP !!
Answer:
c
Step-by-step explanation:
cccccccc cccccccccdkdksksk
solve {-20-5x}-70=-40
Answer:
x = -10
Step-by-step explanation:
If 25 metres of cloth costs Rs. 337. 50 , then the length of the cloth bought for Rs. 810 is
Answer:
19
Step-by-step explanation:
because it not it
Answer:
See below:
Step-by-step explanation:
So first, we can find out the cost for one meter of cloth by dividing 25 by 337.5 Rupees:
[tex]\frac{337.50}{25} = 13.50[/tex]
We now divide 810 by 13.50
[tex]\frac{810}{13.50} = 60[/tex]
We now get our answer of 60 meters!
Cheers!
If this helped you a lot be sure to mark as brainliest!
Which number is rational?
Please help me
Answer:A
Step-by-step explanation:
Which of the following is the correct expansion of (x + 3)(x + 4)?
Answer:
(x + 3)(x + 4)
x(x+4)+3(x+4)
[tex] {x}^{2} + 4x + 3x + 12[/tex]
[tex] {x}^{2} + 7x + 12[/tex]
Answer:
It's x2 + 7x + 12 by added the two X at the start then added 3 + 4 to get 7 then 3×4 to get 12
Carlos has earned more than $260 selling magazines subscriptions. Each subscription
was sold for $12. How many did Carlos sell?
Answer:
21.6 magazines
Step-by-step explanation:
260/12=21.6
VI. PRACTICE TASKS
OSOBE
Practice Task 1
Directions: Place the decimal point to make each product correct.
1. 6.75
X 0.18
1215
2. 11.28
X 0.36
40608
3.10.15
X 0.15
15225
4.
1.15
X 0.25
02875
5.
3.22
X 1.12
39284
Pleassse answer this pleassssee
Step-by-step explanation:
1 _ 1.215
2_ 4.0608
3_1.5225
4_0.2875
5_3.6064
a
In the year 2005, a company made $6 million in profit. For each consecutive year
after that, their profit increased by 13%. How much would the company's prohl be in
the year 2007, to the nearest tenth of a million dollars?
Answer:
The profit will be 7.7 million in 2007
Step-by-step explanation:
6x(1+ 0.13)^2
6x1.13^2
6x1.2769
What is the local tax deducted for $562 biweekly with 2 1/2% tax? $14.05 $ $21.10 $28.10 $140.50
The amount of tax that will be deducted will be A. $14.05
Amount given = $562Tax percentage = 2 1/2%In order to calculate the local tax that will be deducted, we've to multiply the amount that given by the tax percent and this will be:
= $562 × 2 1/2%
= $14.05
Therefore, the amount of tax that will be deducted will be $14.05
In conclusion, the correct option is A.
Read related link on:
https://brainly.com/question/25239215
algebra help please!!!!!!!
Answer:
The answer is c I hope this helps
Drag each label to correct location on the image. Identify which equations have one solution, no solution, or infinitely many solutions?
Answer:
2z+2+4z=16/5+2z-6/5; 5r+2=6r+3-r
One Solution: 3/2x+2.3-1/2x=4.3+x; 2x+2/3=2x+4/5-4x; 32p-2.5+2.1p=5p-7/2
Infinite Solution: 17/4+4.2y-9/4=2.2y+6+2y-4
Step-by-step explanation:
8.70 divided by 0.46
Answer:
18.91304348
Step-by-step explanation:
Just divide it and you get the answer. When you divide something by a decimal, it acts more like multiplying and less like dividing lol (cuz the answer is bigger than the other 2 numbers)
tortoise A walks 32 feet per hour and Tortoise B walks 8 inches per minute. who travels faster
Answer:
Tortoise B
Step-by-step explanation:
8 inches a minute is equal to 40ft an hour.
Tortoise A: 32/per hour
Tortoise B: 40/per hour