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4 years ago

10

On a test, Marcus is asked to simplify . Here is his work: = · = Which statement best describes Marcus' answer? He is incorrect

because 16 times 8 is not 128. He is incorrect because he did not use the largest perfect square. He is incorrect because the 4 and the 8 should be switched around in his answer. He is correct.

2 answers:

jok3333 [9.3K]4 years ago

7 0

The answer is "He is correct."

zzz [600]4 years ago

3 0

Answer:

The answer is He is incorrect because he did not use the largest perfect square.

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F(x)=e*1/x<br>Calculate f'(x)

Murljashka [212]

Answer:

$\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}$

Step-by-step explanation:

$(e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================$

$f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}$

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4 years ago

You start at (2, 10). You move down 4 units. Where do you end?

IgorLugansk [536]

Answer:

(2, 6)

Step-by-step explanation:

coordinates work by (x, y)

so if up or down = y

then 10 - 4 = 6

therefore the answer is (2, 6)

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3 years ago

Betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was

siniylev [52]

Each bag of popcorn was $3.33 dollars because you divide 40 dollars by 12 bags. That is how you get your answer.

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3 years ago

Read 2 more answers

P(A) = 20%. P(B) = 50%. P(BIA) = P(B). What is P(A and B)?

8_murik_8 [283]

Answer:

P(A and B) = 0.1 = 10%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question, we have that:

$P(A) = 0.2, P(B|A) = 0.5$

What is P(A and B)?

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1$

P(A and B) = 0.1 = 10%

8 0

3 years ago

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (84, 13) lies

tia_tia [17]

Answer:

$\sin \theta = 0.153$ , $\cos \theta = 0.988$ , $\tan \theta = 0.155$ , $\cot \theta = 6.462$ , $\sec \theta = 1.012$ , $\csc \theta = 6.538$

Step-by-step explanation:

Let be the point $(x,y)$ , the six trigonometric functions of the angle are represented by following formulas:

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$ (2)

$\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}$ (3)

$\cot \theta = \frac{1}{\tan \theta} = \frac{x}{y}$ (4)

$\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (5)

$\csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{x^{2}+y^{2}}}{y}$ (6)

If we know that $x = 84$ and $y = 13$ , then the values of the six trigonometric functions is:

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$

$\sin \theta = 0.153$

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$

$\cos \theta = 0.988$

$\tan \theta = \frac{y}{x}$

$\tan \theta = 0.155$

$\cot \theta = \frac{x}{y}$

$\cot \theta = 6.462$

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$

$\sec \theta = 1.012$

$\csc \theta = \frac{\sqrt{x^{2}+y^{2}}}{y}$

$\csc \theta = 6.538$

4 0

3 years ago