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3 years ago

Which of the following is the best description of the graph below?

Mathematics

2 answers:

madam [21]3 years ago

5 0

Answer:

Step-by-step explanation:

The V like shape comes from the function f(x)= lxl, which is the absolute value parent function

alex41 [277]3 years ago

3 0

Answer:

im not sure on this but i think A. The linear parent function

Step-by-step explanation:

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I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$

t=415.63 minutes

6 0

3 years ago

The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is

notsponge [240]

Since the three angles of a triangle add to give 180°

The the size of the largest angle 4 = 180° × $\frac{4}{2+3+4}$
= 180° × $\frac{4}{9}$

∴ the size of the largest angle = 80°

8 0

3 years ago

The square of a number is equal to two less than three times the number. What are two possible values of the number?

ycow [4]

Answer:

A, 1,2

Step-by-step explanation:

we translate it first into language of math

we use n for the number

n² = 3n - 2

then, do some algebra things

n² - 3n + 2 = 0

then factorize it

(n - 2)(n - 1) = 0

first n

n - 2 = 0

n = 2

2nd n

n - 1 = 0

n = 1

so n can be 1 or 2

4 0

3 years ago

Theo manufactures glass bottles that hold 12 fluid Ounces, with a tolerance of 0.2 fluid ounces. Write an inequality that can be

Lynna [10]

Answer:

23325435

Step-by-step explanation:

343545634423432

5 0

3 years ago

A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6,

valkas [14]

Answer:

Choice D

Step-by-step explanation:

After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.

6 0

3 years ago