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2 months ago

Guest #2391732

2 months ago

The **estimated increase**, in inches, of a boy's **height **each year is 3 inches.

A **mathematical model **is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling.

Now the given **model **to **estimate **the **height **h of a boy, in inches, in terms of the boy's **age **a, in years is,

h = 3a + 28.6

Now **age **between 2 and 5 the **height **is given as,

At age 2 **years**,

h₂ = 3*2 + 28.6 = 34.6 inches

At age 3 **years**,

h₃ = 3*3 + 28.6 = 37.6 inches

At age 4 **years**,

h₄ = 3*4 + 28.6 = 40.6 inches

At age 5 **years**,

h₅ = 3*5 + 28.6 = 43.6 inches

Thus, **increase **in **height **per year

h₅-h₄ = 43.6 - 40.6 = 3 inches

h₄-h₃ = 40.5 - 37.6 = 3 inches

h₃-h₂ = 37.6 - 34.6 = 3 inches

Thus, h₅-h₄ = h₄-h₃ = h₃-h₂ = 3 inches

Thus, she **estimated increase**, in inches, of a boy's **height **each year is 3 inches.

To learn more about **mathematical models**:

#SPJ2

Guest #2391733

2 months ago

**Step-by-step explanation:**

the estimated increase in height of baby each year would be 3 inches.

Question

Find the area of this rectangle.
5 cm
13 cm

Solution 1

**Answer:**

65

**Step-by-step explanation:**

Solution 2

**Answer:**

65cm squared

**Step-by-step explanation:**

A=bh

A=(5cm)(13cm)

A=65cm squared

Question

Solve for x:
-8x -14 = 7(-2-14x)+4x

Solution 1

1. Distribute the 7 into the parenthesis.

2. Combine like terms on each side.

3. Move the x over to one side by adding 8.

4. Divide by 8 to get x alone

2. Combine like terms on each side.

3. Move the x over to one side by adding 8.

4. Divide by 8 to get x alone

Solution 2

**Answer:**

**Step-by-step explanation:**

-8x -14 = 7(-2-14x)+4x

-8x - 14 = 7*-2 - 7*14 +4x

-8x - 14 = -14 - 98x +4x

-8x - 14 = -14 - 94x

-8x + 94x = -14 +14

86x = 0

x= 0

Question

Round 34,514 to the nearest thousand

Solution 1

**Answer:**

35,000

**Step-by-step explanation:**

Solution 2

35,000. remember if it’s anything above 500, round up. anything below, you’ll typically round down.

Question

Of all the fish in a certain river, 20 percent are salmon. Once a year, people can purchase a fishing license that allows them to catch up to 8 fish. Assume each catch is independent. Which of the following represents the probability of needing to catch 8 fish to get the first salmon

Solution 1

The **probability **of catching the **first salmon **out of 8 fish is **0.0419**.

Given information:

Once a year, people can purchase a **fishing license **that allows them to catch up to **8 fish**.

Each catch is **independent**. (independent events)

The **probability **of fishing a salmon in a certain river is **20 percent **or **0.2**.

Now, the **probability **of **not **getting a **salmon **will be **80% **or **0.8**.

So, the **first fish **should be **salmon **and the others should not be salmon. So, the **required probability **of **independent events **can be calculated as,

Therefore, the **probability **of **catching **the first **salmon **out of 8 fish is **0.0419**.

For more details, refer to the link:

Solution 2

**Answer:**

**The probability of needing to catch 8 fish to get the first salmon is **

**(0.8)⁷ * 0.2 or 4.2% (rounding to two decimal places)**

**Correct statement and question:**

Options were not provided, we looked for them either at brainly or other site, but we didn't find them. We will answer the problem without using any additional source, just the information provided.

**Step-by-step explanation:**

**1. Let's review the information given to us to solve the question correctly:**

Probability of fishing a salmon in a certain river = 20% or 1/5

Number of fishes allowed per fishing license = 8

Each catch is an independent event

**2. Which of the following represents the probability of needing to catch 8 fish to get the first salmon?**

**Let's recall that the probability for independent events is:**

P(A) * P(B)

Now, if the probability of fishing a salmon is 20%, the probability of __ NOT__ fishing a salmon is (100% - 20%) = 80%

**Let's convert the percent to decimal.**

80% = 0.8 and 20% = 0.2

**If we need to catch 8 fishes to get the first salmon, we can find out the probability of 7 catches not fishing a salmon and the 8th, catching finally a salmon, this way:**

P = 0.8 * 0.8 * 0.8 * 0.8 * 0.8 * 0.8 * 0.8 * 0.2

P = (0.8)⁷ * 0.2

P = 0.2097152 * 0.2

P = 0.042 (rounding to two decimal places)

**P = 4.2%**

Question

Solve for x: -8x -14 = 7(-2-4x) +4
I haven’t worked these in over three decades so seem to be forgetting something important. Trying to help my daughter.

Solution 1

**Answer:**

x=8/5

**Step-by-step explanation:**

All right, this is a basic algebra problem and the goal is to isolate x.

First you distribute: -8x-14=-14-28x+4

Then, combine like terms: -8x-14=-10-28x

Add 28x and add 14 to both sides to isolate x: 20x=4

Now divide by 20 on both sides: x=4/20 or 1/5

Question

Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $32. At another store she can borrow the tile saw for free if she buys tiles there for $1.49 per tile. How many tiles must she buy for the
cost to be the same at both stores?

Solution 1

**Answer:**

32 tiles

**Step-by-step explanation:**

32+0.69*n= 32.69

32.69*n= 32.69n-0.69

=32

Question

Mrs. Tatum needs to share 3 grams of glitter equally among 8 art students. How many
grams of glitter will each student get?

Solution 1

Each student will get** 375** **milligrams **of **glitter**.

Given,

Quantity of **glitter **is **3 gram**.

The **number **of arts **students **is** 8**.

We have to **share **the **glitter **between **eight **art **students **equally.

Since Mrs. Tatum needs to share the **glitter **equally among art **students**,So **divide 3** gram by** 8, **

** grams.**

Since **1 gram **consist of **1000 milligrams**.

Or we can **convert **it into **smaller **unit,

**So, 0.375 gram** is equivalent to** 375 milligram.**

Hence each art **student **will get** 375** **milligrams **of **glitter**.

For more details on **unit conversion **follow the link:

Solution 2

**Answer:**

each student will get 0.375 grams of glitter

could i get brainliest?

**Step-by-step explanation:**

Question

How many polio and measles vaccination did doctor potter give, respectively?

Solution 1

**Answer:**

The answer to the question is a

Question

2. Elsie buys t-shirts for $6 each and marks up the price by 45%. How much profit does she make from each t-shirt sale?

Solution 1

**Answer:**

$2.70

**Step-by-step explanation:**

Elsie is selling the shirt for 45% more than she paid for it. So, you would multiply 6, the initial cost of the shirt times 0.45, which would get you 2.7 or $2.70.

Since we can see that she would be selling the shirt for $8.70 but she loses $6 to represent the shirt's initial cost (8.70-6), then we can see that she makes $2.70 for each shirt sale.

Solution 2

**Answer:**

**Step-by-step explanation:**

Increase in price = 45% of $6

She made $2.70 from each shirt

Question

Calcular la derivada de la siguiente función f(x)=3x5

Solution 1

**Answer:**

**Step-by-step explanation:**

f(x)=3x⁵

f'(x)=5*3x⁴=15x⁴

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