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3 years ago

The table shows x-values and y-values for a number pattern.

Mathematics

2 answers:

Artyom0805 [142]3 years ago

8 0

Answer:

The answer is c

Step-by-step explanatio

AysviL [449]3 years ago

4 0

Answer is c
Hope this helps

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4 teammates shAre 5 granola bars equally draw to show how much each person gets shade the amount that one person gets

Artyom0805 [142]

Each person would get 1/5 beacuse you would have to divide 5 into 4.

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3 years ago

A toy store had 947 games. It sold 515 of these games. How many games are at the store now

inn [45]

Answer:

432

Step-by-step explanation:

Subtract 515 from 947

7 0

3 years ago

Read 2 more answers

Suppose that the population P(t) of a country satisfies the differential equation dP/dt = kP (600 - P) with k constant. Its pop

jeka94

Answer:

The country's population for the year 2030 is 368.8 million.

Step-by-step explanation:

The differential equation is:

$\frac{dP}{dt}=kP(600 - P)\\\frac{dP}{P(600 - P)} =kdt$

Integrate the differential equation to determine the equation of P in terms of t as follows:

$\int\limits {\frac{1}{P(600-P)} } \, dP =k\int\limits {1} \, dt \\(\frac{1}{600} )[(\int\limits {\frac{1}{P} } \, dP) - (\int\limits {\frac{}{600-P} } \, dP)]=k\int\limits {1} \, dt\\\ln P-\ln (600-P)=600kt+C\\\ln (\frac{P}{600-P} )=600kt+C\\\frac{P}{600-P} = Ce^{600kt}$

At t = 0 the value of P is 300 million.

Determine the value of constant C as follows:

$\frac{P}{600-P} = Ce^{600kt}\\\frac{300}{600-300}=Ce^{600\times0\times k}\\\frac{1}{300} =C\times1\\C=\frac{1}{300}$

It is provided that the population growth rate is 1 million per year.

Then for the year 1961, the population is: P (1) = 301

Then $\frac{dP}{dt}=1$ .

Determine k as follows:

$\frac{dP}{dt}=kP(600 - P)\\1=k\times300(600-300)\\k=\frac{1}{90000}$

For the year 2030, P (2030) = P (70).

Determine the value of P (70) as follows:

$\frac{P(70)}{600-P(70)} = \frac{1}{300} e^{\frac{600\times 70}{90000}}\\\frac{P(70)}{600-P(70)} =1.595\\P(70)=957-1.595P(70)\\2.595P(70)=957\\P(70)=368.786$

Thus, the country's population for the year 2030 is 368.8 million.

3 0

4 years ago

Which set of real numbers BEST describes the solution set for the inequality?3x 1 =<5

Deffense [45]

B. all real numbers greater than or equal to 2

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3 years ago

Evaluate p2 - r2 for p = 10, r = -4 and t = 5.

AlexFokin [52]

Answer:

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

4 0

3 years ago