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Varvara68 [4.7K]
3 years ago
12

Q6. The diagram shows that a ship sails 34 nautical miles from its port. Then after sailing 19 nautical miles due east, it is di

rectly north of the port. How far is the ship from the port?
​
Mathematics
1 answer:
WARRIOR [948]3 years ago
4 0

the answer is... it might be tricky but the answer is

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Find the area of each figure. Please help <3 it would be appreciated! (30 points)
Annette [7]

Answer:

1,824 \:  {in}^{2}

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 48 in and 32 in + Area of triangle with base 48 in and height 12 in.

= 48 \times 32 +  \frac{1}{2}  \times 48 \times 12 \\  \\  = 1,536 + 24  \times 12 \\  \\  = 1,536 + 288 \\  \\  = 1,824 \:  {in}^{2}

6 0
3 years ago
PLZ help me ASAP its due in a couple of mins!!! :((((( which one is it??
jolli1 [7]

Answer:

Hello

Step-by-step explanation:

Hello

5 0
3 years ago
How to take derivative of absolute value.
zhenek [66]

The absolute value function is defined as

|x| = \begin{cases}x & \text{for }x \ge 0 \\ -x & \text{for }x < 0\end{cases}

If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.

If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.

But if x = 0, the derivative doesn't exist!

In order for the derivative of a function f(x) to exist at x = c, the limit

\displaystyle \lim_{x\to c}\frac{f(x) - f(c)}{x-c}

must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.

If x approaches 0 from below (so x < 0), we have

\displaystyle \lim_{x\to 0^-}\frac{|x|}x = \lim_{x\to0^-}-\frac xx = -1

whereas if x approaches 0 from above (so x > 0), we have

\displaystyle \lim_{x\to 0^+}\frac{|x|}x = \lim_{x\to0^+}\frac xx = 1

But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.

Putting everything together, you can define the derivative of |x| as

\dfrac{d|x|}{dx} =  \begin{cases}1 & \text{for } x > 0 \\ \text{unde fined} & \text{for }x = 0 \\ -1  & \text{for }x < 0 \end{cases}

6 0
3 years ago
7. You are ordering sweaters from American Eagle. Each sweater costs $25. They also charge a shipping fee of $7. You spent. $132
NARA [144]

Answer:

Step-by-step explanation:

Alright, after reading this problem, let’s highlight some key points. Each sweater costs $25, we can write that down as 25x because will represent the amount of sweaters we buy. But we have a shipping fee of $7, so we will +7 to our highlights. And the total money spent was $132.

So far, we have: 25x + 7 = 132

Let’s subtract the 7 from the 132. Now we have: 25x = 125

Then we can divide by 25 on each side, and get x by itself.

X = 5 sweaters.

BONUS: Let’s replace 5 for our x to prove our answer

25(5) + 7 = 132 >>> 125 + 7 = 132 >>> 132 = 132 :D

There you go!! We buy 5 sweaters from American Eagle..!

6 0
3 years ago
What is the explicit formula for the geometric sequence with this recursive formula?
weeeeeb [17]

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

The recursive formula gives a term in the sequence by multiplying the previous term by r

Given the recursive formula

a₁ = - 6

a_{n} = a_{n-1} (\frac{1}{4} )

with r = \frac{1}{4}

Then explicit formula is

a_{n} = - 6(\frac{1}{4}) ^{n-1} → A

6 0
4 years ago
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