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3 years ago

15

If a = band b = c, which statement must be true?

1 answer:

faust18 [17]3 years ago

8 0

Answer:

a is still equal to band a

Step-by-step explanation:

a=band b then band b= band c and so on

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The population of bacteria in a culture doubles every 14 hours. How long will it take for

Snezhnost [94]

Answer: 22 hours 11 minutes

<u>Step-by-step explanation:</u>

$P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs$

$22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes$

4 0

3 years ago

Find the cos of angle y

Minchanka [31]

ANSWER

$\cos(y) = \frac{4}{5}$

EXPLANATION

From the mnemonics SOH-CAH-TOA.

We want to find the cosine of y

CAH means cosine ratio involves adjacent over the hypotenuse.

$\cos(y) = \frac{adjacent}{hypotenuse}$

From the right by triangle, the side ajacent to angle y is 64 units and the hypotenuse is 80 units.

$\cos(y) = \frac{64}{80}$

$\cos(y) = \frac{4}{5}$

3 0

3 years ago

Read 2 more answers

Select the correct answer.

yaroslaw [1]

Answer:

<h2>D. </h2><h2>{x | x = all real numbers}</h2>

Step-by-step explanation:

The domain of a function is the set of input or argument values for which the function is real and defined.

The function has no undefined points nor domain constraints. Therefore, the domain is

$-\infty \:$

$\mathrm{Domain\:of\:}\:2\left|x-1\right|+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

4 0

3 years ago

I need help finding the volume of a prism

VARVARA [1.3K]

What type of prism? triangular? Rectangular?

6 0

3 years ago

Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. M

GrogVix [38]

Answer:

he isn't

Step-by-step explanation:

The wood has dimensions of 18 x 12

If He wants the tray to have a height of 2, subtract 2 x 2 from both the length and the width

18 - 4 = 14

12 - 4 = 8

the highest possible dimensions of the tray can be 14 x 8

10 1/2 x 10 1/2 is greater than 14 x 8. so he is not correct

5 0

3 years ago