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

Answers

Answer 1

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]

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.

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( 5x - 6 ) and ( 3x + 2 ) are alternate interior angles.

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Answer:

4/3 or 1.3333333...

Step-by-step explanation:

2 x (3x + 1)-4 = 6.

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Answer:

refer to the attachment

hope it helps

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Answers

Answer:

Step-by-step explanation:

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2y-4=x-6

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Answers

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

Answer:

4736

Step-by-step explanation:

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20*3 = 60

60*79 = 4740

4740 - 4 = 4736

with in the image below, disregarding the scale of the objects, which of the numbered sets of basic shapes are capable building the larger shape shown below? I II III IV Select the single best answer

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The answer has to be lV

how many fifths are there in 4 wholes? (see the illustrate given)​

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Answer:

To divide two fractions, flip the second fraction and change the operation from division to multiplication. Therefore, there are 20 fifths in four wholes

(A)

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Answer:c?

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A cake recipe calls for 2 1/2 cups of flour. If Mrs. Hizon will prepare for 4 2/3 servings of the recipe, how much flour will she need?

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Answers

Using the profit concept, it is found that the break-even point is of 61.6 units.

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The break-even point is of 61.6 units.

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542+876-65+76×5444+556-77​

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Answer:

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Use the maps below to answer the following question: First image. A map of North America showing the regions of Native American cultures. Second image. A political map of the United States, with all 50 states labeled. Washington, Oregon, and California are on the west coast. Moving east, from north to south, Montana, Idaho, Wyoming, Nevada, Utah, and Arizona are next seen. Then, North Dakota, South Dakota, Nebraska, Colorado, Kansas, Oklahoma, New Mexico, and Texas are seen, from north to south, in the central US. East of those states, from north to south, Minnesota, Iowa, Missouri, Arkansas, and Louisiana are seen. Wisconsin, Michigan, Illinois, Indiana, and Ohio in the Midwest, and Pennsylvania and New York in the northeast, border the Great Lakes. Kentucky, Tennessee, Mississippi, Alabama, Virginia, North Carolina, South Carolina, Georgia, and Florida are in the southeast, with Florida jutting out as a peninsula. Maryland, West Virginia, Delaware, and New Jersey are between the southeast and northeast states. Connecticut, Rhode Island, Massachusetts, New Hampshire, Vermont, and Maine are in the northeast. Alaska and Hawaii are seen as islands. Public Domain © Andrew c Creative Commons, Attribution-Share Alike 3.0 Unported Compare the maps. Which state listed below was located in the Southwest Native American cultural region? Alabama Illinois Michigan Arizona

Answers

The state that was located in the Southwest Native American cultural region is Arizona.

The state has the highest indigenous population in the USA and is home to the Navajo, Hopi and Apache. Arizona was part of New Mexico until its surrender to the United States in 1848. It was the scene of many wars against the native peoples, especially the Apache, from the 1850s to 1877. It did not become a state until as recently as 1912.

On February 28, 1859, the first Indian reservation, the Gila River Indian Reservation, was established for the Pima and Maricopa Indians in the Arizona Territory. On June 1, 1868, the United States' largest reservation, the Navajo Nation Reservation, was established by a treaty between the United States and the Navajo State.

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Answer:

Arizona

Step-by-step explanation:

got it right on the test :)

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90* 3 = 30
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Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

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Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

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the volume of a cube is increasing at the rate of 12 in^3/min. how fast is the surface area increasing in square inches per minute, when the length of an edge is 20in.?

Answers

We want to find the rate of change of the surface for a cube of increasing volume.

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V = S^3

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Because the volume depends on the side length cubed, we can say that the side length increases at a rate of:

∛(12in^3)/min = 2.29 in/min

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S(t) = (2.29 in/min)*t

Then the surface area equation is:

A(t) = 6*((2.29 in/min)*t)*((2.29 in/min)*t)

A(t)  = (31.46 in^2/min^2)*t^2

The rate of change is given by direct differentiation, we get:

A'(t) = 2*(31.46 in^2/min^2)*t

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A'(8.73min) =  2*(31.46 in^2/min^2)*8.73min = 439.29 in^2/min

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evaluate the expression (2.5)^3

Answers

(2.5)³=2.5×2.5×2.5=6.25×2.5=15.625

please mark this answer as brainlist

The value of the expression is 15.625.

We have,

Expression:

(2.5)³

The base is 2.5 and the power is 3.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

This can be written as,

= 2.5 x 2.5 x 2.5

Convert the decimals into fractions.

= 25/10 x 25/10 x 25/10

Simplify the fractions.

= 15.625

Thus,

The value of the expression is 15.625.

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Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​

Answers

Answer: y = 3x + 3

Step-by-step explanation:

We know the linear function as following:

y = mx + b

m is the slope of the equation. b represents the y-intercept.

To find m, we divide the rate of change of y by the rate of change of x. We know that the rate of change y is +3 because we add three each time in order to find the next value. The rate of change of x is +1 because we add one each time to find the next value. So m would be:

m = 3/1

m = 3

Our linear equation is now as following:

y = 3x + b

In order to find b, we should first substitute a coordinate in the equation above.

y = 3x + b

6 = 3(1) + b

Then, we multiply 3 with 1

6 = 3 + b

Finally, we substract 3 on both sides. Now we've got our b value.

b = 3

Now our equation should look like this.

y = 3x + 3

To verify if the equation, we should substitute another coordinate, and verify if each side of the equation is equal.

y = 3x + 3

15 = 3(4) + 3

15 = 12 + 3

15 = 15

So we now know that the equation is indeed correct.

Answer:

y = 3x + 3

Step-by-step explanation:

As per given table we have ordered pairs:

(1, 6), (2, 9), (3, 12), (4, 15)

Find the slope and y- intercept to work out the equation.

y = mx + b

The slope:

m = (9 - 6)/(2 - 1) = 3/1 = 3

The y -intercept:

6 = 3*1 + b6 = 3 + bb = 3

The equation is:

y = 3x + 3

The graph is attached

A laptop has a listed price of $693.95 before tax. If the sales tax rate is 6.5%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

45.11

Step-by-step explanation:

693.95 x .065 = 45.11

(( BRAINLISET QUEATION ))
The temperature of a room is -4 degree Celsius. The temperature of the heater is 16 degree Celsius. How many degrees more than room temperature is the heater?

Answers

Answer:

Step-by-step explanation:

Under steady state condition heat released to the room=heat dissipated out of the room Let θ be the temperature of heater Then

θ−20=α[20−(−20)] .(i)

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we get

θ=60∘C

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which trend line properly describes the data relationship in the scatterplot? ​

Answers

Answer:

The 2nd one

Step-by-step explanation:

The trend line properly describes the data relationship in the scatterplot is plot A.

What is Trend line?

A trend line is also known as a line of best fit, and it is used to illustrate the behaviour of a set of data to assess if it is in a given pattern. So, a trend line is an analytical technique that is frequently used in conjunction with a scatter plot to determine whether or not there is a relationship between two variables.

As, per the plots.

The scatter plot A have the points distributed symmetrically on the both side of line.

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(01.02 HC) A jar contains 0.85 liter of strawberry juice and 0.50 liter of mango juice. Celina poured 0.15 liter of watermelon juice into the jar. She then drank 0.30 liter of the mixture.

Part A: Write an expression to represent the total amount of juice left in the jar.

Part B: Simplify the expression and identify which property is used in each step.

Answers

Part A:

GIVEN:  Strawberry Juice = [tex]0.85[/tex] liters, Mango Juice = [tex]0.50[/tex] liters, Watermelon Juice = [tex]0.15[/tex] liters, Drank Juice = [tex]0.30[/tex] liters.

-------------------------------------------------------------------------------------------

· Find the expression

In this case, all of them have to be combined to find the expression

Thus,

Expressions in these queries are arithmetical statements that may be defined by the operator, and the following discussion could indeed define a minimum of 2 terms containing the numbers or the variables, or both.

strawberry juice = 0.85 liter

mango juice = 0.50 liter

watermelon juice= 0.15 liter

drank juice = 0.30 liter

solution:

0.85+0.5+0.15 = 1.5

if she drank 0.3, remove it from 1.5, then 1.3

this expression would be : (0.85+0.5+0.15) - 0.3 = 1.2

Help please! I’m a bit young so it might be easy for you! Can you please tell me this and maybe I’ll understand? Giving brainliest!

Answers

Answer:

2.36 miles

Step-by-step explanation:

subtraxt them from each other

You paid $375 in simple interest on an 8 year loan at 1.5% interest. How much did you
borrow?

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It would be $0.47 monthly interest and $5.63 yearly interest

How do I solve the following equation

Answers

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

-6-12=-1/4z
-18=-1/4z
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Plz check it

Greatest common factor of 30 and 75

Answers

Step-by-step explanation:

The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.

Answer:

the Greatest common factor of 30 and 75 is 15

Step-by-step explanation:

The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.

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