7:<br> m23 = (15x +22)", mZ1 = (19x

Nathaniel builds birds and birdhouses using Lego blocks. Let BBB represent the number of birds and HHH represent the number of b

vladimir1956 [14]

Answer:

(C) Nathaniel can build at most 3 birdhouses.

Step-by-step explanation:

Given that:

$43B+215H \leq 3000$

where:

B represents the number of birds
H represents the number of Birdhouses

Nathaniel wants to build 50 birds(B) using lego Blocks, we want to determine how many birdhouses(H) he can build with the remaining Lego blocks.

If B=50

$43(50)+215H \leq 3000\\2150+215H \leq 3000\\\text{Subtract 2150 from both sides}\\215H \leq 3000-2150\\215H \leq 850\\\text{Divide both sides by 215}\\H \leq 3.95$

Therefore, Nathaniel can build at most 3 Birdhouses.

8 0

4 years ago

The gas co2 is diffusin at steady state through a tube 20 cm long having a diameter of 1 cm and containing n2 at 350 k . the tot

Marrrta [24]

The value is J = 1.71*10^-6 kmol/m^2.s

According to the given conditions we get,

The length the tube l= 0.20m

The diameter of the tube d= 0.01m

The total pressure inside the tube P= 101.32kPa

The partial pressure of CO2 at the first end is

P1= 456mm Hg = 60794.832 Pa

The partial pressure of CO2 at the other end is

P2= 76mm Hg = 10132.472 Pa

The temperature is T = 298 K

The diffusion coefficient D= 1.67* 10^-5 m^2/s

Generally the molar flux of CO2 is mathematically represented as

J= D{p1-p2} / R.T

Here R is the gas constant with value R= 8.314 j/kmol

So we get J= 1.71 * 10^-3 mol/m^2.sec

Learn more about Mole on:

brainly.com/question/27270616

#SPJ4

4 0

2 years ago

What is a capacity of 25 fl oz more than a capacity of 3 cups

nata0808 [166]

I’m guessing 2 cups or something idk

7 0

3 years ago

A company produces computer batteries. Everyday, the company produces exactly 500 batteries. To keep track of how many batteries

valkas [14]

Using the binomial distribution, it is found that about 75 batteries each day are defective.

For each battery, there are only two possible outcomes, either it is defective, or it is not. The probability of a battery being defective is independent of any other battery, hence the <em>binomial distribution</em> is used to solve this question.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

$E(X) = np$

In this problem:

3 out of 20 batteries are defective, hence p = 3/20 = 0.15.

Each day, 500 batteries are produced, hence n = 500.

Then, the expected number of defective batteries in a day is given by:

E(X) = np = 500(0.15) = 75.

More can be learned about the binomial distribution at brainly.com/question/14424710

5 0

3 years ago

Create a scenario that leads to an inequality of the form ax + b > c

blagie [28]

Answer:

Johnny wants to buy a game but he doesn't have enough money. He needs to have at most $60 to buy his game. He has $5 in his piggy bank and gets $11 for every hour for working. Write an inequality where x represents his hours.

11x + 5 ≤ 60

Not that good but its better than nothing.

4 0

3 years ago

7: m23 = (15x +22)", mZ1 = (19x – 10)°, X=8