Answer:
g vs lhnkdeugyvsvjxbd shall
crecimiento de arboles
un vivero de plantas verdes suele vender cierto arbusto despues de 6 años de crecimiento y cuidado. La velocidad de crecimiento durante esos 6 años es aproximadamente dh/dt = 1.5t + 5, donde t es el tiempo en años y h es la altura en centimetros. Las plantas de semillero miden 12 centimetros de altura cuando se plantan (t=0).
determinar la altura despues de t años
que altura tiene los arbustos cuando se venden
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.
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Which of the following equations has both -6−6minus, 6 and 666 as possible values of ccc?
Choose all answers that apply:
(Choice A)
c^2 = 36c
2
=36c, squared, equals, 36
(Choice B)
c^3 = 216c
3
=216c, cubed, equals, 216
(Choice C)
None of the above
Answer:
It's the Choice A c² = 36
4.3 1/2* 2 1/2
Simplify
Answer:
35
Step-by-step explanation:
4.3 1/2 * 2 1/2 = 35/1 =35
If this is wrong i'm sorry
What is the measure of <1
1. 80
2. 40
3. 160
pls help this is due tonight
Answer:
3. 10
4. 6
5. 81,000
6. 36
7. x=-0.5
Step-by-step explanation:
3. 25-3(5)
4. 3 + 3
5. 81 x 1000
6. 4 x 9
your test is worth 100 points and theres 44 questions how many points is each question worth
Answer: ~ 2.27 points per question
Step-by-step explanation:
Want points/question.
So, we do 100 points / 44 questions
~ 2.27 points per question
PLEASE HELP WITH ALL!!!
Answer:
3)x=-9
4)x=-2
5)x=-4
6)x=-5
7)x=-12
8)x=-11
Step-by-step explanation:
The function
y = 3.5x + 2.8 represents the cost y (in dollars)
of a taxi ride of x miles,
a. Identify the independent and dependent variables
Find the measure of the angle with the red dot (NOT X.)
Picture Included. Thank you!
Step-by-step explanation:
I can't see picture very well but as I see first angle is
-4x+5 and second is -13x+39 ( if it isn't, correct me)
sum of this angles is 180° because they are inner angles
(-4x+5) + (-13x+39) = 180
-4x+5 -13x+39=180
-17x+44=180
-17x = 180-44
-17x= 136
x= -8
angle -4x+5 will be:
-4*-8 + 5= 32+5= 37°
PLEAS HELP!
The diagram shows a convex
polygon.
What is the value of a?
Answer:
40°
Step-by-step explanation:
56+84=140
180-140=40°
There are 133 students at a small school and 23 of them are freshmen. What fraction of the students are freshmen?
Answer:
23/133
Step-by-step explanation:
If your total is 133, that would become your denominator, your numerator is how many students of those are freshman in which this case is 23.
The total number of freshmen in the school is 23/133
The number of students in the small school is 133
23 out of the 133 students are freshmen
Therefore the fraction of freshmen in the school can be calculated by dividing 23 by 133
Fraction of freshmen is 23/133
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One printing machine printed 700 books in 40 hours this week. A second printing machine printed for
25 hours this week but printed books twice the hourly rate of the first machine. How many books did the
second machine print this week?
Answer:
875 books
Step-by-step explanation:
1st machine 700 books/40 hours = 17.5 books/hr
2nd machine printed 2x or 35 books/hr
25 hours x 35 books/hr = 875 books
A quart of water weighs 2 pounds.how much do 1.5 gallons of water weigh?
Answer:
12 pounds
Step-by-step explanation:
gallon equals 4 quarts
1.5*4 equals 6
6 quarts times 2 pounds =2
Simplify ( 2+ 6) /4 + 12•3+1 ?
Answer:
39
Step-by-step explanation:
That is the correct answer
Answer:
39
Step-by-step explanation:
2+6 is 8, 8 divided by 4 is 2. You're equation now is 2+12 x 3+1 Then you do the multiplication first because of PEMDAS, so now the equation is 2+36+1, adding all of those together is 39 :)
each big square below represents one whole. What percent is represented by the shaded area
A supermarket advertises a new product by offering samples to customers. The table shows the number of samples distributed each hour. At what rate does the supermarket distributes samples?
Answer:
38 samples an hour, next time taken the first two numbers in the table and divide the one on the right by the one on the left
The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)
Answer:
The smallest integer is -27 and the integers are -27, -26, and -25
Step-by-step explanation:
We can represent this with:
x + x - 1 + x - 2 = -78
Simplify.
3x - 3 = -78
Add 3 to both sides.
3x = -75
Divide both sides by 3.
x = -25
So, the first integer is -25.
Subtract two to get the smallest integer.
-25 - 2 = - 27
(5x+4)-3x
Solve.
No scam.
Answer:
=2x+4
Step-by-step explanation:
Let's simplify step-by-step.
5x+4−3x
=5x+4+−3x
Combine Like Terms:
=5x+4+−3x
=(5x+−3x)+(4)
=2x+4
Answer:
2x+4
Step-by-step explanation:
Hope fully it is correct
what is the most you would pay today for a promise to repay you $6,000 at the end of 6 years if your opportunity is 12%
Answer:
i need 9it
Step-by-step explanation:
ndbwsjl
help pls aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
x=3
Step-by-step explanation:
y = mx + b
m = (y2 - y1)/(x2 - x1)
m = (8+4)/(3-3) = 12/0 = UD
x = 3
PLEASE HELP ME WITH THIS!!!
Answer:
6. Bobby makes more money than John
Step-by-step explanation:
John's profits
(4.2 × [tex]10^{5}[/tex]) + (3.2 × [tex]10^{6}[/tex])
= 36.2 x 10^5
= 3.62 x 10^6
Bobby's profits:
323659000 = 3.23659 x 10^8
3.23659 x 10^8 > 3.62 x 10^6
A credit card company offers an annual 2% cash-back rebate on all gasoline
purchases. If a family spent $5,650 on gasoline purchases over the course of a year,
what was the family's rebate (in dollars) at the end of the year?|
$4,350 x 0.02 = $87
$360 - $87 = $273
Interest $270 no rebate
so $273 - $270 = $3
The family's rebate at the end of the year is $113.
What is a rebate?A rebate is a form of buying discount and is an amount paid by way of reduction, return, or refund that is paid retrospectively. It is a type of sales promotion that marketers use primarily as incentives or supplements to product sales.
Given that, a credit card company offers an annual 2% cash-back rebate on all gasoline purchases.
A family spent $5,650 on gasoline purchases over the course of a year.
Now, rebate =2% of 5650
= 2/100 ×5650
= 0.02×5650
= $113
Therefore, the family's rebate at the end of the year is $113.
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1.42 as a percentage
Answer:
142%
Step-by-step explanation:
1.42 multiply by 100%? not quite sure
24. Find the perimeter and area of the triangle below.
базь
2a3b
4ab
Answer:
Answer to the first part: 8a³b + 4ab
Step-by-step explanation:
Perimeter = distance around the three sides
P = 6a³b + 2a³b + 4ab
P = (6a³b + 2a³b) + 4ab add like terms
P = 8a³b +4ab Simply
The value of the perimeter and area of the triangle are,
20.52 cm² and 28.68 cm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, By Using Pythagoras theorem to find the base of the triangle as;
a² = 6² - 3²
a ² = 27
a = √27
And, b² = 9² - 3²
b² = 72
b = √72
Hence, Base = √27 + √72
= 13.68
So, We get;
Area = 0.5 x 13.68 x 3
Area = 20.52 cm²
And, The value of perimeter is,
Perimeter = 9 + 6 + 13.68
= 28.68
Thus, The value of the perimeter and area of the triangle are,
20.52 cm² and 28.68 cm
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LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (60,0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 100 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?
LORAN follows an hyperbolic path.
The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
The coordinates are given as:
[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]
The center of the hyperbola is
[tex]\mathbf{(h,k) = (0,0)}[/tex]
The distance from the center to the focal points is given as:
[tex]\mathbf{c = 60}[/tex]
Square both sides
[tex]\mathbf{c^2 = 3600}[/tex]
The distance from the receiver to the transmitters is given as:
[tex]\mathbf{2a = 100}[/tex]
Divide both sides by 2
[tex]\mathbf{a = 50}[/tex]
Square both sides
[tex]\mathbf{a^2 = 2500}[/tex]
We have:
[tex]\mathbf{b^2 = c^2 - a^2}[/tex]
This gives
[tex]\mathbf{b^2 = 3600 - 2500}[/tex]
[tex]\mathbf{b^2 = 1100}[/tex]
The equation of an hyperbola is:
[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]
So, we have:
[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]
[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
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giải hộ toi bài tập nó khá khó
Answer:
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If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work?
Answer:
$64188.26
Step-by-step explanation:
→ Calculate the increase in decimal multiplier
( 100 + 3 ) ÷ 100 = 1.03
→ Multiply this by the salary raised to the power of 16
40000 × ( 1.03 )¹⁶
→ Solve
$64188.26
Answer:
$806275
Step-by-step explanation:
type it exactly like that, ap*x
hello please help me
Answer:
perimeter is 9+7.5+6=22.5cmwe know that area is(1/2* base *height)=1/2*9*4.2
=18.9square cm
Answer:
Perimeter: 6 + 7.5 + 9 = 22.5
area: 18.9
Step-by-step explanation:
Your fundraising group earns 25c for each lemonade and
50c for each tạco sold. One hundred tacos are sold. Your total profit is $100.
How many levonades are sold? Write an equation that models this situation.
Solve the equation using mental math.
Answer:
The answer is 100$ worth of lemonades
Step-by-step explanation:
Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.
ALGEBRA STUFF IS ANNOYING
Answer:
A?
Step-by-step explanation: