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3 years ago

Determine what type of model best fits the given situation: The height of a tree twenty feet tall increases by 2 feet per year.

Mathematics

2 answers:

Katyanochek1 [597]3 years ago

5 0

Inlear model, I took the test

Sliva [168]3 years ago

4 0

Answer:

linear model

Step-by-step explanation:

This is a linear function. The initial value is 20 ft, and the yearly growth is 2ft/yr. Thus, the function is

height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.

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Help me with this question, please!

AURORKA [14]

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

8 0

3 years ago

a stack of 500 sheets of paper is 1.875 inches tall. Diego guess that each piece of paper and 0.015 inches thick. Explain how yo

just olya [345]

If there were 1000 sheets of paper, then the thickness of each sheet would be 1.875 in divided by 1000.

1.875/1000 = 0.001875

Since there are 500 sheets of paper, each one is twice as thick as 0.001875, so each sheet is 0.00375 inches thick. 0.015 is much greater than 0.00375, so it must be incorrect.

8 0

4 years ago

What can you say about the relationship between M and P? Which letter is the correct answer?

Dimas [21]

Answer:

Choice C is correct

Step-by-step explanation:

The first step is to re-write the equations in exponential form.

The first equation can be written as;

$\frac{M}{N}=10^{4}$ since the base is 10 and 4 the exponent.

The second equation can be written as;

$\frac{P}{N}=10^{5}$

The second step is to make N the subject of the formula in both equations.

Solving for N from this equation $\frac{M}{N}=10^{4}$ , yields;

$N=\frac{M}{10^{4}}$

Solving for N from the second equation $\frac{P}{N}=10^{5}$ , yields;

$N=\frac{P}{10^{5}}$

Therefore;

$\frac{M}{10^{4}}=\frac{P}{10^{5} }\\\\P=10M$

6 0

3 years ago

Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big en

Simora [160]

Answer:

Step-by-step explanation:

First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.

Second Question: No the size does not influence the size of the interior angle.

Third Question: That's true for all polygons. Size is not affect the interior angle size.

6 0

3 years ago

1. The Senior Class of Great Ridge High School and Ann Arbor High School are planning a trip to Six Flags Theme Park. Great Ridg

Zanzabum

Answer:

A)14v + 16b = 1152

10v + 13b = 925

B)Number of students in a van = 8

Number of students in each bus = 65

C) Elimination method was easier.

Step-by-step explanation:

Let v be the number of students in a van

Let b be number of students in a bus

A) We are told the first school can fill 14 vans and 16 buses with 1152 students

Thus;

14v + 16b = 1152 - - - - - (eq 1)

Also,we are told that the second school can fill 10 vans and 13 buses with 925 students.

Thus;

10v + 13b = 925 - - - - (eq 2)

B) To solve this we will use elimination method.

Multiply eq (1) by 5 and multiply eq (2) by 7 to give;

70v + 80b = 5760 - - - - eq(3)

70v + 91b = 6475 - - - - - eq(4)

Subtract eq(3) from eq(4) to give;

91b - 80b = 6475 - 5760

11b = 715

b = 715/11

b = 65

Put 65 for b in eq(3) to give;

70v + 80(65) = 5760

70v = 5760 - 80(65)

70v = 560

v = 560/70

v = 8

Number of students in a van = 8

Number of students in each bus = 65

C) Elimination method was used because in both equations, we had different digits attached and so it would have been more tedious to use substitution method or graphical method. Thus, elimination method was more easier.

7 0

3 years ago