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3 years ago

Lim(x-0) of sin3x/sin8x

1 answer:

7 0

Hello,
$$ \lim_{x \to 0} \dfrac{sin(3x)}{sin(8x)} = \lim_{x \to 0} \dfrac{3*sin(3x)}{3x} * \dfrac{8x}{8*sin(8x)}=3*1* \frac{1}{8} =\boxed{ \frac{3}{8}}$

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He collected a total of 225 . If 68% of the stamps he collected were foreign, how many other stamps did he collect?

MissTica

Answer:

72 stamps

Step-by-step explanation:

First, we're looking to find the number of stamps that AREN'T foreign, so we have to subtract 68% from 100%.

100% - 68%
32%

Now, we know that 32% of the stamps are NOT foreign. So, next, we:

Multiply 32 by 225.
Divide the product of 32 and 225 by 100

$32*225$
$7200$
$7200/100$
$72$

Therefore, the answer is 72 stamps.

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2 years ago

How does the graph change from point G to point K?

GalinKa [24]

Answer: D

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3 years ago

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Oliga [24]

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3 years ago

Read 2 more answers

Mya is buying juice boxes for her party. Which offer should Mya choose to get the lowest price per juice box? 1.) 2 juice boxes

NemiM [27]

For this case we must find the unit cost of juice box of each option and compare:

Option A: 2 juice boxes for $ 0.66

$\frac {0.66} {2} = 0.33 \frac {dollars} {box}$

Option B: 6 juice boxes for $ 1.92

$\frac {1.92} {6} = 0.32 \frac {dollars} {box}$

Option C: 9 juice boxes for $ 2.97

$\frac {2.97} {9} = 0.33 \frac {dollars} {box}$

Option D: 12 juice boxes for $ 4.20

$\frac {4.20} {12} = 0.35 \frac {dollars} {box}$

The most feasible option is B. That is, buy 6 boxes for $1.92

Answer:

Option B

8 0

4 years ago

What is the slope of the line that passes through the points (4.2) and (-16, -10)?

sergij07 [2.7K]

Given:

A line passes through the points (4,2) and (-16, -10).

To find:

The slope of the line.

Solution:

Slope Formula:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

A line passes through the points (4,2) and (-16, -10). So, slope of the line is

$m=\dfrac{-10-2}{-16-4}$

$m=\dfrac{-12}{-20}$

$m=\dfrac{3}{5}$

Therefore, the slope of the line is $\dfrac{3}{5}$ .

8 0

3 years ago