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Natali [406]
3 years ago
6

[2/SEC(¶/3)•[lim x→0 x^3+8x+10]^2]/[lim θ→0 sinθ/θ]

Mathematics
1 answer:
Oliga [24]3 years ago
4 0
Assuming the pilcrow is supposed to represent pi:

\frac{\frac{2}{sec(\frac{\pi}{3})}*(\lim_{x \to 0} x^3+8x+10)^2}{ \lim_{\theta \to 0} \frac{sine(\theta)}{\theta}}\\\frac{\frac{2}{\frac{1}{cosine(\frac{\pi}{3})}}*((0)^3+8(0)+10)^2}{\frac{sine((0))}{(0)}}\\\frac{\frac{2}{\frac{1}{\frac{1}{2}}}*(0+0+10)^2}{\frac{0}{0}}\\\frac{\frac{2}{2}*(10)^2}{ \lim_{\theta \to 0} \frac{cosine(\theta)}{1}}\\\frac{100}{cosine((0))}\\\frac{100}{1}\\100

100
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If 30%of an amount is 730. What will be 70% of that amount
polet [3.4K]

Answer:

the answer is 511 I think

Step-by-step explanation:

percentage * your amount / 100

(70 * 730) / 100

Amount = 511

5 0
2 years ago
Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campgro
Angelina_Jolie [31]

Answer:

-3.5

The distance Rachel covers per hour is 3.5 miles

Step-by-step explanation:

After 2 hours, she is 13 miles from the campground.

After 4 hours, she is 6 miles from the campground.

Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).

The equation of the line passing through the points (x_1,y_1) and (x_2,y_2) is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute:

x_1=2\\ \\y_1=13\\ \\x_2=4\\ \\y_2=6

Hence,

y-13=\dfrac{6-13}{4-2}(x-2)\\ \\y-13=-3.5(x-2)\\ \\y=-3.5x+7+13\\ \\y=-3.5x+20

The slope of the line is -3.5 and it represents that  the distance Rachel covers per hour is 3.5 miles.

8 0
3 years ago
A gift box has the shape of a cube. The box is 75 cm tall. What’s the volume of the box
fomenos
421875 cm because you take the 75 and square it to the 3rd power
3 0
2 years ago
Which is proportional to ¾?<br><br> 5/6<br> 6/8<br> 6/7<br> 8/9
STatiana [176]

Answer:

6:8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The original price of the tablet that you found in problem 2 increases by 20%. Write an expression for finding the new price. Wh
FinnZ [79.3K]

Answer:

Expression: p = 320 x 1.2

Your price: $384

Step-by-step explanation:

Finding 20% is the same as multiplying that number by 0.2 adding it on to the original number. This can also be represented as multiplying by 1.2.

This means the expression is p = 320 x 1.2, where p is the new price.

This gives you $384.

8 0
3 years ago
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