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2 years ago

HELPPP

Mathematics

2 answers:

DIA [1.3K]2 years ago

4 0

Answer:

it is an infinite discontinuity.

Step-by-step explanation:

disa [49]2 years ago

3 0

Answer:

D. Removeable

Step-by-step explanation:

ed2021

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Which statements are true?

Genrish500 [490]

Answer:

All parallelograms are quadrilaterals

Step-by-step explanation:

8 0

3 years ago

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A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg

horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

$f(d)=5(1.02)^d$

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

Divide both sides by five:

$(1.02)^d=1.268$

Take the log of both sides with base 1.02:

$\displaystyle d=\log_{1.02}1.268$

Using the Change of Base Property, evaluate for d:

$\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12$

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

$0\leq d\leq 12$

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

$f(4)=5.4121...\text{ and } f(11)=6.2168...$

And find the slope between them:

$\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11$

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

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2 years ago

Operating cycle is the time spam required for a business to repay its long term liabilities

tresset_1 [31]

Operating Cycle is the average period of time for a business to make an initial outlay of cash to produce goods, sell the goods, and receive cash from cutovers in exchange for goods.

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2 years ago

What value of x is in the solution set of 4x – 12 ≤ 16 + 8x?

Pavel [41]

Answer:

4x – 12 ≤ 16 + 8x; x>-7

Step-by-step explanation:

i dont remember how i did it

3 0

3 years ago

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Given ∆TOM with vertices T(-1, 8), O(-3, 3), and M(-6, 7). (a) Graph ∆TOM on the axes provided below. (Draw it in your notes) (b