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4vir4ik [10]
3 years ago
8

Heather was in the pool for 2:45 to 5:00 how long was she in the pool

Mathematics
1 answer:
mart [117]3 years ago
7 0

Answer:

2 Hours and 15 minutes

Step-by-step explanation:

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Use logarithmic differentiation to find the derivative of the function.y = x^8 sin(x)
givi [52]

Answer: \frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})

Step-by-step explanation:

Since we have given that

y=x^{8sinx}

By using logarithmic on both sides we get,

log y= 8 sinx. logx

(∵ log(a^m)=m.loga)

Now, differentiating on both sides ,we get,

\frac{1}{y}.\frac{\partial y}{\partial x}=8(\frac{\partial sinx}{\partial x}.logx+sinx \frac{\partial logx}{\partial x})

\\\frac{1}{y}\frac{\partial y}{\partial x}=8(cosx.logx+sinx.\frac{1}{x})

\\\frac{\partial y}{\partial y}=8y(cosx.logx+\frac{sinx}{x})\\\\\frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})

6 0
3 years ago
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 11 and length of 9
Studentka2010 [4]

The image of the arrow is missing, so i have attached it.

Answer:

A_t = 69.5 cm²

Step-by-step explanation:

In a second image attached, I have divided the arrow into triangle and rectangle.

From the second image,

A1 is area of triangle while A2 is area of rectangle

Area of triangle is; A1 = ½bh

Our triangle base is given as 9 cm.

To get the height, we will subtract the rectangle height of 8 cm from the total arrow height.

Thus; height of triangle; h = 11 - 8 = 3cm

Thus;

A1 = ½ × 9 × 3

A1 = 13.5 cm²

Formula for area of rectangle is;

A2 = length × breadth

A2 = 8 × 7

A2 = 56 cm²

Thus, total area of arrow is;

A_t = A1 + A2 = 13.5 + 56

A_t = 69.5 cm²

8 0
3 years ago
Does any girl want to talk
maks197457 [2]

meee lol you can talk to me

8 0
3 years ago
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Which angle number is adjacent to angle to ZOKL? <br>​
Eduardwww [97]

Answer:

there aint no picture

Step-by-step explanation:

4 0
3 years ago
Factor this equation , I can’t comprehend it
ivolga24 [154]

Answer:

B) (2x + 3)(2x - 3)

Step-by-step explanation:

Use the FOIL method for each answer choice.

FOIL = First, Outside, Inside, Last

(2x)(2x) = 4x²

(2x)(-3) = -6x

(3)(2x) = 6x

(3)(-3) = -9

4x² -6x +6x  -9

Simplify. Combine like terms:

4x² (-6x + 6x) - 9

4x² - 9

4x² - 9 = 4x² - 9 ∴ B) (2x + 3)(2x - 3) is your answer

~

8 0
3 years ago
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