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3 years ago

Can someone please help my friend with her homework?? Thank youuuu <3

Mathematics

1 answer:

snow_tiger [21]3 years ago

5 0

1. 1 2. 1 and 1/2 3. 1 and 2/3 4. 1 and 1/4 5. 1 and 4/5 6. 1 and 4/6
7. 3 8. 35/8 9. 7/2 10. 7/3 11. 39/4 12. 3 and 1/4, 3 and 1/3, 3 and 7/8
13. 2 and 1/9, 2 and 1/4, 2 and 3/5 14. 1 and 2/3, 1 and 3/5, 1 and 1/5
15. 5 and 4/5, 5 and 3/5, 5 and 1/9

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PLEASE ANSWER ASAP!!!!!!

Romashka [77]

The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.

<h3>What is a formula for Fahrenheit?</h3>

The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;

°F = (9/5 × °C) + 32.

Given function:

f(x)= -6 sin(7/3 x+ 1/6) -5

The function will be maximum at the 7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -6 sin (3π/2) -5

= 6 -5

= 1 F

The function will be minimum at the 7/3 x +1/6= π/2

Therefore, the maximum temperature will be

= -6 sin (π/2) - 5

= -6 -5

= -11 F

Learn more about this concept here:

brainly.com/question/26172293

#SPJ1

5 0

2 years ago

Solve for unknown values.

forsale [732]

Firstly, a straight line = 180 degrees.
Based on the statement above, we can create an equation of 180-95 = x
(Which is 85)
Now, we also know that all of the angles in a triangle add up to 180 degrees, so we can create this equation of 180- (85 + 50) = y
(Which is 45)

4 0

3 years ago

30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours d

svetoff [14.1K]

Step-by-step explanation:

(30 men, 56 days, 6 hours daily)

=> (30 men, 48 days, 7 hours daily)

=> (45 men, 32 days, 7 hours daily)

Hence it will take 32 days.

5 0

3 years ago

If f(x) = 9x10 tan−1x, find f '(x).

djverab [1.8K]

Answer:

$\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}$

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle f(x) = 9x^{10} \tan^{-1}(x)$

<u>Step 2: Differentiate</u>

[Function] Derivative Rule [Product Rule]: $\displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Basic Power Rule: $\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Arctrig Derivative: $\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}$