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3 years ago

Please please help me

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

Answer:

$\frac{\sqrt{11} }{6}$

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

cosx = $\sqrt{1-sin^2x}$

cosΘ = $\sqrt{1-(5/6)^2}$

= $\sqrt{1-\frac{25}{36} }$ = $\sqrt{\frac{11}{36} }$ = $\frac{\sqrt{11} }{6}$

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Which of the following situations can be defined using an exponential function?

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Answer:

D) The number of bacteria decreases by 7% each hour.

Step-by-step explanation:

Exponential functions describe situations where values do not increase at a linear or constant rate. Adding or subtracting every year or hour will result in a linear function, so A, B, and C are incorrect.

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Complete the remainder of the table

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4 years ago

Which expressions are equivalent to 42-5? Choose all the correct answers. Show your work in arriving at your answers.

frozen [14]

Answer:

B, C, E

Step-by-step explanation:

<u />

<u>Exponent Rules</u>

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$\textsf{A}\quad42^{-3} \cdot 42^8=42^{-3+8}=42^5$

$\textsf{B}\quad \dfrac{42^{-7}}{42^{-2}}=42^{-7-(-2)}=42^{-5}$

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$\textsf{F}\quad \left(\dfrac{6^{-5}}{7^5}\right)^{-1}=\left(6^{-5} \cdot 7^{-5}\right)^{-1}=\left(\left(6 \cdot 7\right)^{-5}\right)^{-1}=42^{-5(-1)}=42^5$

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2 years ago

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(0.9) *(1.5 +5.8)

lisov135 [29]

(0.9)* (1.5+5.8)
First, Add the values to the right. You get (0.9) * (7.3)
Multiply 9 and 73 to get 730 -73, which is 700-43, 660 - 3, which is 657.
Divide by 100 by moving the decimal point to get 6.57 as your final answer.

Hope that helped!

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4 years ago

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