Write an equation for the vertical translation.

y=3/7x :18 units up

Answers

Answer 1
Answer: y=3/7x for a vertical translation of y=3/7x+18

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552.5 is what percent of 425

Answers

percent means parts out of 100
x%=x/100
'of' means multiply
552.5=x/100 times 425
divide bothsides by 425
552.5/425=x/100
multiply both sides by 100
55250/425=x
use calculator
130=x


answer is 130%

A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours

Answers

The number of bacterial population after 5 hours is; 816

  • The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

  • We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

  • Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

  • Approximating to a whole number gives; N(5) = 816 bacteria

Read more about exponential growth at; brainly.com/question/15316908

Final answer:

The bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria would be approximately 947.1 bacteria.

Explanation:

To calculate the bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria, we can use the formula

P = P0 * (1 + r)^t.

P is the final population, P0 is the initial population, r is the growth rate expressed as a decimal, and t is the time in hours.

Using the given values, the formula becomes: P = 480 * (1 + 0.112)^5.

Solving this equation, the bacterial population after 5 hours would be approximately 947.1 bacteria.

Learn more about bacterial population growth here:

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trevor needs a new bicycle tire. his tire has a circumference of 112 inches. what is the diameter of his tire.?

Answers

First, you take the equation of the circumference of a circle which is: C=2πr
Next, you would plug in what you have.  So right now you have the circumference. So 112=2πr.
Last what you would do is divide each side by πr so you would end up getting:
112/2π=r
By doing that equation, you would get the radius so you would just multiply your answer by 2.

The diameter is 351.86 inches

What is the end behavior of the graph of the polynomial function y = 7x12 – 3x8 – 9x4?

Answers

To know the end behavior of the graph, we look at the degree of the polynomial and the sign of the coefficient of the highest exponent variable.
The degree is 12, which is even.
The coefficient is 7, which is positive.

Therefore, for this type of polynomial function, the end behavior is:
f(x)--> +∞, as x--> −∞
f(x)--> +∞, as x--?>+


Answer:

Answer is D) As X---> negative infinity, y --> positive infinity and as x--> positive infinity, y---> positive infinity

Step-by-step explanation:

Just took the test and got it right!!

Hope this helps!!!!

Write the polynomial in standard form. Give the degree of the polynomial. Classify the polynomial byits degree.

a. 7x-14x^4 +19x^3 +26x^5-18

Standard form:

degree:

name based on degree:

Answers

Answer:

Sure, I'd be happy to help!

The polynomial you provided is:

7x - 14x^4 + 19x^3 + 26x^5 - 18

To put this polynomial in standard form, we need to factor it. Here's the factored form of the polynomial:

7x(1 - 14x^3 + 19x^2 + 26x^4) - 18

Now, we can see that the degree of the polynomial is 4, so it is a quartic polynomial.

Based on the degree of the polynomial, we can classify it as a quartic polynomial.

Step-by-step explanation:

Is 5/6 is greater than 10/12

Answers

The fraction (5)/(6) is the fraction, which is not greater than the fraction given as (10)/(12). They are equal.

Given are two fractions.

(5)/(6) and (10)/(12)

It is required to find the relationship between these fractional numbers.

In order to find the relationship between two fractions, it is first required to make the denominators of the fraction equal.

Here, the denominator of one fraction is 6 and the other fraction is 12.

Since 6 is a factor of 12, multiply the numerator and the denominator by 2 to make it 12.

So, (5)/(6) , can be multiplied by both the numerator and denominator to get (10)/(12)So, the fractions are equal.

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NO. 5/6 is 10/12, since all your doing is multiplying the fraction 5/6 by 2 on both the denominator and the numerator to get 10/12. Since 2 is commonly multiplied, it can be factored out as well, thus leaving 5/6 = 10/12.