Combine like terms. 7k – 13k

A.
–6

B.
–6k

C.
–20

D.
–20k

Answers

Answer 1

Answer: Answer is B.7k-13k=-6kWhich is B. So answer is -6k

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Please simplify ∛(16x4)

Answers

∛(16x4) = ∛(64) = 4, because 4^3 = 4 x 4 x 4 = 64. Final Answer: ∛(16x4) = 4

Organize the following polynomial expressions from least to greatest based on their degree:I x + 2xyz
II 3x + y + z
III 2x3y + y2x - 3x + 4
IV 9x3yz

A II, III, I, IV

B III, I, IV, II

C I, II, IV, III

D II, I, III, IV

Answers

The degree of a polynomial is equal to the highest sum of the variables among the terms. In I, degree is equal to 3, II is equal to 1, II is equal to 4, and IV is equal to 5. Hence, the order from least to greatest then, the order is II, I, III and IV. Answer is A>

Answer: 2134

Step-by-step explanation:

Construct x such that a/x= x/b

Answers

Applying cross multiplication, it is found that the value of x is given by:

$x = \pm √(ab)$

What is the expression?

The expression is given by:

$(a)/(x) = (x)/(b)$

Applying cross multiplication, we have that the first step towards finding the solution for x is given as follows.

$x^2 = ab$

Considering that when the square root is removed, we have to remember the plus/minus sign:

$x = \pm √(ab)$

Which is the desired value of x.

More can be learned about cross multiplication at brainly.com/question/24372153

The population of a city is modeled by the equation P(t) = 256,114e0.25t where t is measured in years. If the city continues to grow at this rate, how many years will it take for the population to reach one million?

Answers

Answer: it take 5.448 years for the population to reach one million.

Step-by-step explanation:

The population of a city is modeled by the equation

P(t) = 256,114e0.25t

where t is measured in years.

For the population to reach 1000000, it means that

1000000 = 256114e0.25t

1000000/256114 = e0.25t

3.9045 = e0.25t

Taking ln of both sides of the equation, it becomes

Ln 3.9045 = Ln e0.25t

1.362 = 0.25t

t = 1.362/0.25

t = 5.448 years

Final answer:

The city's population is modeled by an exponential function and to find when the population will reach one million, we need to solve the equation for t by setting P(t) = 1,000,000. This requires dividing by the initial population, taking the natural logarithm, and then dividing by the growth rate (0.25). The result is the time in years it takes for the city's population to reach one million.

Explanation:

Calculation of Population Growth Time

The city's population growth is modeled by an exponential function, P(t) = 256,114e0.25t. Here, P(t) is the population at time t and 'e' is Euler's number, approximately equal to 2.71828. Your goal is to find when the population reaches one million.

To do this, set P(t) = 1,000,000 and solve for t:

1,000,000 = 256,114e0.25t

You would divide both sides by 256,114 and then take the natural logarithm to isolate t:

t = ln(1,000,000 / 256,114) / 0.25

Use a calculator to solve for 't'. This gives the time in years it takes for the city's population to reach one million people. It's a clear demonstration of how exponential growth operates: as the population increases, it takes less time to add a certain number of individuals.