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3 years ago

Lim as x approaches pi/4:

1 answer:

5 0

$\lim_{x \to \pi /4} \frac{tan x - 1}{x- \pi /4} = \frac{0}{0}$
With L` Hospital`s Rule ( ( tan x ) ` = 1/ cos^2 x ) :
$\lim_{x \to \pi /4} \frac{1}{cos ^{2} x} = \\ = \frac{1}{cos ^{2} ( \pi /4)} = \\ \frac{1}{1/2}$ = 2

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Find the explicit formula for -3,-33,-63,-93

bagirrra123 [75]

Answer:

a n = -3+(n-1)-30

Step-by-step explanation:

-3 - 30 = -33

-33 - 30 = -63

-63 - 30 = -93

The common difference here is -30. d = -30

The explicit formula is a n = a1 + (n-1)d

5 0

3 years ago

Subtract -7n +2 from 2n - 1

Irina18 [472]

2n - 1 - -7n + 2 You combine like terms with subtracting
2n - 7n = -5n
-1 - 2 = -3
So -7n + 2 - 2n - 1 = -5n - 3

4 0

2 years ago

Read 2 more answers

Enter the range of values for x:<br> B<br> 15<br> 2x - 10<br> С<br> 48°<br> A<br> 18<br> [?] Enter

SOVA2 [1]

<h3>Answer: 5 < x < 29</h3>

=========================================

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

8 0

3 years ago

Which situation can be modeled by the inequality 50 - 12x > 8?

eduard

Answer:

Option D.

Step-by-step explanation:

Borrowed $50 from your cousin. You pay him $8 and must pay him back within 12 weeks.

Let x be the amount paid on each week.

$50-8\leq 12x$

$50-12x\leq 8$

You can buy bags of pretzels in packages of 12. You $50 to spend, but want to have at least $8 left.

Let x be the amount of each package.

$50-12x\geq 8$

You owe your sister $50. You plan to pay her $12 a week till you owe her less than $8.

Let x be the amount paid on each week.

$50-12x$

You have $50 to spend on clothes, but you need to save at least $8 for bus fare. You plan to spend the rest on shirts that cost $12 each (including tax).

Let x be the number of shirts

$50-12x>8$

Therefore, the correct option is D.

7 0

2 years ago

Priscilla invests $10,000 in an account that compounds interest continuously and earns 11%. How long will it take for her money

Shkiper50 [21]

Answer:

Step-by-step explanation:

When the interest compounds continuously, our formula is

$A(t)=Pe^{rt}$

If we start with 10000 and are looking for how long, t, it takes to double, we are looking for how long it will take for our account to have 2 times 10000. That's 20000. Therefore, our equation is

$20000=10000e^{.11t}$