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3 years ago

Lea received a tip of $8 on a restaurant tab of $20. What percent tip did she receive?

Mathematics

1 answer:

Nonamiya [84]3 years ago

8 0

Answer:

40% tip

Step-by-step explanation:

If $20 is 1/5 of $100 and that $8 tip is part of those $20 you just have to multiply by five and thats your answer

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Use the definition of a derivative to find f’(x).

tatyana61 [14]

Answer:

f'(x) = $-\frac{9}{x^2}$

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x) = $$\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $ \hspace{0.2cm}$

$= $\lim_{h\to 0} \frac{\frac{9}{x+h} - \frac{9}{x} }{h} = \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} = \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)} = $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$$

7 0

3 years ago

PLEASE HELPPP!!!! Will give brainiest!!!!

Lady_Fox [76]

Answer:

0.008 °C

Explanation:

1) Write the changes in the temperature of the city over the 4 days in an easy way to read.

1.34 °C

- 5 / 7 °C

- 0.75 °C

4/9 ° C

2) Write the expression to show the average daily change in temperature.

The average of a set of data is calculated with the expression:

Average = (sum of the data) / amount of data

Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

Average = [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4

3) Write the steps to solve the expression:

You can choose between adding fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

a. Find the decimal forms of the fractions:

- 5/7 ≈ 0.71428

4 /9 ≈ 0.44444

b. Add the four data:

1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

c. Divide the sum by the number of data (4)

0.32019 °C / 4 ≈ 0.080004 °C

4. Round to the nearest hundredth

The place of the hundreth is the second after the decimal point, which is 8 in this case:

0.080004 °C ≈ 0.08 °C

7 0

3 years ago

Find the radius of circle if AB = 24 and OC = 5

Likurg_2 [28]

Answer:

Step-by-step explanation:

Since OCB forms a right triangle, you can find the length of side OB and therefore the radius by simply using the pythagorean theorem. The first step is to note that, since AB=24 and OC bisects that, that both CB and AC have length 12. Therefore, the radius is $BO=\sqrt{12^2+5^2}=13$ . Hope this helps!