tara and michelle are growing trees in their., №14588745, 23.07.2022 03:13

Mathematics

Tara and Michelle are growing trees in their back yard. Tara s tree starts at a height of 10 feet, and grows 4 ft. a year. Michelle s tree starts at a height of 7 feet and grows 14% each year. How tall will Michelle s tree be after 12 years? When will Michelle s tree be taller than Tara s tree for the first time?

Step-by-step answer

P Answered by PhD

2

To determine the exponential growth of Michelle's tree at 12 years, taking into account that it measures 7 feet and grows 14% annually, the following calculation must be performed:

X = 7 x (1 + 0.14) 12

X = 33.7

Thus, in 12 years, the height of Michelle's tree will be 33.7 feet. In turn, the tree of Tara will measure 58 feet at the same time.

The first time Michelle's tree surpasses Tara's will be at age 20, when Michelle's tree will measure 96.2 feet (X = 7 x (1 + 0.14) 20), while Tara's tree will measure 90 feet.

Mathematics

Tara and Michelle are growing trees in their back yard. Tara s tree starts at a height of 10 feet, and grows 4 ft. a year. Michelle s tree starts at a height of 7 feet and grows 14% each year. How tall will Michelle s tree be after 12 years? When will Michelle s tree be taller than Tara s tree for the first time?

Step-by-step answer

P Answered by PhD

2

To determine the exponential growth of Michelle's tree at 12 years, taking into account that it measures 7 feet and grows 14% annually, the following calculation must be performed:

X = 7 x (1 + 0.14) 12

X = 33.7

Thus, in 12 years, the height of Michelle's tree will be 33.7 feet. In turn, the tree of Tara will measure 58 feet at the same time.

The first time Michelle's tree surpasses Tara's will be at age 20, when Michelle's tree will measure 96.2 feet (X = 7 x (1 + 0.14) 20), while Tara's tree will measure 90 feet.

Physics

Graphing: michelle climbs a tree and drops the toy car once she has reached the top. create an energy-time graph to show how the pe and ke changed as the toy car falls. your graph will not have numbers on it (except zero is on the axes), but be a sketch to show whether the energies increased or decreased over time. graph two lines, one for potential and another for kinetic energy. make sure each line is appropriately labeled.

Step-by-step answer

P Answered by PhD

1

Refer to the attachment for the graph. The shape of both functions should resemble part of a parabola. Assumption: air resistance on the car is negligible.

Explanation:

The toy car started with a large amount of (gravitational) potential energy (PE) when it is at the top of the tree. Since it wasn't moving (as it was within Michelle's grip,) its kinetic energy (KE) would be equal to zero.As the car falls to the ground, its PE converts to KE.When the car was about to reach the ground, its PE is almost zero, while its KE is at its maximum.PE of the car over time

The size of gravitational PE depends on both the mass and the height of the object. In this case, assume that the mass of the car stayed the same, PE should be proportional to the height of the car.

Assume that air resistance on the car is negligible. The height of the car at time could be found with the equation:

$\displaystyle h = -\frac{1}{2}\, g\, t^2 + h_0 \, (\text{Initial height})$ ,

where

$g \approx \rm 9.81\; m \cdot s^{-2}$ near the surface of the earth, and h_0

is the initial height of the car.

On the other hand, $\displaystyle \text{GPE} = m \, g \, h = -\frac{m \cdot g^2}{2}\, t^2 + \underbrace{m \cdot g \cdot h_0}_{\text{Initial GPE}}$ .

In other words, plotting the gravitational PE of the car against time would give a parabola. Since $\displaystyle -\frac{m \cdot g^2}{2} < 0$ (the quadratic coefficient is smaller than zero,) the parabola should open downwards. Besides, since at t = 0 the initial GPE is positive, the -intercept of this parabola should also be positive.

KE of the car over time

Assume that the air resistance on the car is negligible. The mechanical energy (ME) of the toy car should conserve (stay the same.) The mechanical energy of an object is the sum of its PE and KE. The PE of the toy car has already been found as a function of time. Therefore, simply subtract the expression of PE from mechanical energy to find an expression for KE.

To find the value of mechanical energy, consider the PE of the toy car before it was dropped. Since initially KE was equal to zero, the mechanical energy of the toy car would be equal to its initial PE. That's $m \cdot g \cdot h_0$ . If there's no air resistance, the value of ME would stay at

Subtract PE from ME to obtain an expression for KE:

$\begin{aligned} \text{KE} &= \text{ME} - \text{PE} \cr &= m \cdot g \cdot h_0 - \left(-\frac{m \cdot g^2}{2}\, t^2 + m \cdot g \cdot h_0\right)\cr &= \frac{m \cdot g^2}{2}\, t^2\end{aligned}$ .

That's also a parabola when plotted against . Note that since the quadratic coefficient $\displaystyle \frac{m \cdot g^2}{2}$ is positive, the parabola shall open upwards.

Graphing: michelle climbs a tree and drops the toy car once she has reached the top. create an ene

English

Ireally need ! i will give the brainliest! this was the last week of michelle’s internship. it was her junior year, and the internship was part of her “workplace and consumer education” class. at first she wanted to intern at her dad’s gas station, but her teacher told her she needed to branch out and signed michelle up at the oakcourt nursing home, only 15 minutes away from her house. part a read this sentence from paragraph 3. at first she wanted to intern at her dad’s gas station, but her teacher told her she needed to branch out and signed

Step-by-step answer

P Answered by Specialist

72

Which definition of branch is used in this sentence?
c) expand one's interests

Which detail from paragraph 3 best conveys the meaning of branch?
b) "she wanted to intern at her dad’s gas station…signed Michelle up at the Oakcourt Nursing Home,"

Hope i could help

English

Ireally need ! i will give the brainliest! this was the last week of michelle’s internship. it was her junior year, and the internship was part of her “workplace and consumer education” class. at first she wanted to intern at her dad’s gas station, but her teacher told her she needed to branch out and signed michelle up at the oakcourt nursing home, only 15 minutes away from her house. part a read this sentence from paragraph 3. at first she wanted to intern at her dad’s gas station, but her teacher told her she needed to branch out and signed

Step-by-step answer

P Answered by Specialist

72

Which definition of branch is used in this sentence?
c) expand one's interests

Which detail from paragraph 3 best conveys the meaning of branch?
b) "she wanted to intern at her dad’s gas station…signed Michelle up at the Oakcourt Nursing Home,"

Hope i could help

Mathematics

While michelle sat observing birds at a bird feeder, one fourth of the birds flew away when they were startled by a noise. two birds left the bird feeder to go to another stationed a few feet away. three more birds flew into the branches of a nearby tree. four birds remained at the feeder. how many birds were at the feeder initially?

Step-by-step answer

P Answered by PhD

7

12 Birds

To solve this problem, work it from the end towards the beginning.

Number of birds left = 4

Three more birds flew into the branches of a nearby tree. So you lost 3 birds. Add them to the total giving you 7.

Two birds left the bird feeder to go to another stationed a few feet away. So you had a loss of 2 birds. Add them to the total giving you 9.

On fourth of the birds flew away when they were startled by a noise. Now we have something. We know that after one fourth flew away, 9 were left.

X - (1/4)X = 9

Merge the X terms.

(3/4)X = 9

Divide both sides by 3/4

X = 9/(3/4)

X = 9/1 * 4/3

X = 36/3

X = 12

So the number of birds at the feeder initially was 12.

To prove it.

Start with 12. One fourth flew away, leaving 9.

Two more leave, leaving 7.

Three more leave, leaving 4.

English

Read this sentence from paragraph 3. at first she wanted to intern at her dad’s gas station, but her teacher told her she needed to branch out and signed michelle up at the oakcourt nursing home, only 15 minutes away from her house. which definition of branch is used in this sentence? separate from the main part expand one s interests a part that extends from something larger the part of a tree that grows out from the trunk

Step-by-step answer

P Answered by Specialist

6

It should be the third one it shows more stuff

Mathematics

While michelle sat observing birds at a bird feeder, one fourth of the birds flew away when they were startled by a noise. two birds left the bird feeder to go to another stationed a few feet away. three more birds flew into the branches of a nearby tree. four birds remained at the feeder. how many birds were at the feeder initially?

Step-by-step answer

P Answered by PhD

7

12 Birds

To solve this problem, work it from the end towards the beginning.

Number of birds left = 4

Three more birds flew into the branches of a nearby tree. So you lost 3 birds. Add them to the total giving you 7.

Two birds left the bird feeder to go to another stationed a few feet away. So you had a loss of 2 birds. Add them to the total giving you 9.

On fourth of the birds flew away when they were startled by a noise. Now we have something. We know that after one fourth flew away, 9 were left.

X - (1/4)X = 9

Merge the X terms.

(3/4)X = 9

Divide both sides by 3/4

X = 9/(3/4)

X = 9/1 * 4/3

X = 36/3

X = 12

So the number of birds at the feeder initially was 12.

To prove it.

Start with 12. One fourth flew away, leaving 9.

Two more leave, leaving 7.

Three more leave, leaving 4.

English

Read this sentence from paragraph 3. at first she wanted to intern at her dad’s gas station, but her teacher told her she needed to branch out and signed michelle up at the oakcourt nursing home, only 15 minutes away from her house. which definition of branch is used in this sentence? separate from the main part expand one s interests a part that extends from something larger the part of a tree that grows out from the trunk

Step-by-step answer

P Answered by Specialist

6

It should be the third one it shows more stuff

English

Part a read this sentence from paragraph 3. at first she wanted to intern at her dad’s gas station, but her teacher told her she needed to branch out and signed michelle up at the oakcourt nursing home, only 15 minutes away from her house. which definition of branch is used in this sentence? a.separate from the main part b.a part that extends from something larger c.expand one s interests d. the part of a tree that grows out from the trunk.

Step-by-step answer

P Answered by PhD

16

C. expand one's interests.