Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

Assuming that the Chinese population continues to grow at the same rate, how many years until the population reaches 1.5 billion

faltersainse [42]

Answer:

29 years

Step-by-step explanation:

The population of the Chinese people is 1.3 bn, and they grow at a rate of 0.49% per year. To get the number of years it requires to reach 1.5 bn, we use this method

after x years, the population will be

1.3 * 1.0049^x

so you just need to solve

1.3 * 1.0049^x = 1.5

1.0049^x = 1.5/1.3

x log 1.0049 = log(1.5/1.3)

x = log(1.5/1.3)/log(1.0049)

x = 0.062 / 0.002122

x = 29.25 years

Therefore, at the rate of 0.49%, the Chinese population of 1.3bn needs 29 years to clock 1.5 bn

8 0

2 years ago

The average time taken to complete an exam, X, follows a normal probability distribution with mean = 60 minutes and standard dev

k0ka [10]

Answer: b. 0.8413

Step-by-step explanation:

Given : The average time taken to complete an exam, X, follows a normal probability distribution with $\mu=60\text{ minutes}$ and $\sigma=30\text{ minutes}$ .

Then, the probability that a randomly chosen student will take more than 30 minutes to complete the exam will be :-

$P(x>30)=P(z>\dfrac{30-60}{30})\ \ [\because\ z=\dfrac{x-\mu}{\sigma} ]\\\\=P(z>-1)=P(z-z)=P(Z$

[using z-value table]

Hence, the probability that a randomly chosen student will take more than 30 minutes to complete the exam = 0.8413

3 0

2 years ago

If 10x + 2 = 7, what is the value of 2x?

Julli [10]

For this case we have the following equation:

$10x + 2 = 7$

From here, we clear the value of x.

We have then:

$10x = 7-2\\10x = 5\\x = \frac {5} {10}\\x = \frac {1} {2}$

Then, we look for the value of 2x. We have then:

$2x = 2 \frac {1} {2}\\2x = \frac {2} {2}\\2x = 1$

Answer:

The value of 2x is given by:

$2x = 1$

6 0

2 years ago

Read 2 more answers

Elise does not like sorbet, so she omits that ingredient and adds 5 percent of each of the other ingredients. How many cups of p

Arisa [49]

Answer:

20 cups of punch

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Elise adds 5 percent of each of the other ingredients

then

the new percentages are

Ginger Ale=40%+5%=45%

Orange Juice=25%+5%=30%

Pineapple Juice=20%+5%=25%

Sorbet=0%

Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion

Let

x ----> the total cups of punch

$\frac{6}{30\%}=\frac{x}{100\%}\\\\x=6(100)/30\\\\x=20\ cups\ of\ punch$

6 0

2 years ago

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the

Andre45 [30]

Answer:

Step-by-step explanation:

A direct variation equation is of the form

y = kx,

where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.

We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is

d = kw and we need to find k in order to have the model for dosing the animals.

$\frac{3}{5} =k(30)$