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Goshia [24]
2 years ago
9

Can anybody help? this is a test pleasee..!

Mathematics
1 answer:
Evgen [1.6K]2 years ago
5 0

Answer:

16

Step-by-step explanation:

so 20% is 160 and 10% of that is 16

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Negative 1.5 (4 minus r) = negative 12
umka2103 [35]

Answer:

r = - 4

Step-by-step explanation:

Given

- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )

4 - r = 8 ( subtract 4 from both sides )

- r = 4 ( multiply both sides by - 1 )

r = - 4

3 0
3 years ago
Read 2 more answers
so my equation is x^2-30x=-125. i already completed the square but what does it mean when i have to add (b/2)^2
Blizzard [7]

Answer:

mh

Step-by-step explanation:

mfhnyjjjjjjjjjjjjjjjj

7 0
3 years ago
1) A rectangle has the lengths shown <br> Find the perimeter of the rectangle.
maks197457 [2]

Hi there! :)

\large\boxed{P = 32cm}

Find the perimeter by solving for y.

We know that a rectangle contains two pairs of parallel and congruent sides, therefore:

5y - 1 = 2y + 8

We can solve for y using this expression. Begin by subtracting 2y from both sides:

5y - 2y - 1 = 2y - 2y + 8

3y - 1 = 8

Add 1 to both sides:

3y - 1 + 1 = 8 + 1

3y = 9

Divide both sides by 3:

y = 3

Recall that the perimeter of a rectangle is:

P = 2l + 2w

Plug in the given expressions for the side lengths to find one equation:

P = 2(5y - 1) + 2(y - 1)

Simplify by distribution:

P = 10y - 2 + 2y - 2

Combine like terms:

P = 12y - 4

Plug in the solved value of y into this equation:

P = 12(3) - 4

P = 36 - 4

P = 32 cm.

3 0
2 years ago
Miguel needs $99.95 to buy himself a pair of Beats headphones. He has 1/5 of the money saved already. How much money has he save
kumpel [21]

$19.99

1/5 = 0.20

$99.95 X 0.20 = $19.99

7 0
2 years ago
Consider the sequence {an}={3n+13n−3n3n+1}. Graph this sequence and use your graph to help you answer the following questions.
Fantom [35]

Part 1: You can simplify a_n to

\dfrac{3n+1}{3n}-\dfrac{3n}{3n+1} = \dfrac1{3n}+\dfrac1{3n+1}

Presumably, the sequence starts at <em>n</em> = 1. It's easy to see that the sequence is strictly decreasing, since larger values of <em>n</em> make either fraction smaller.

(a) So, the sequence is bounded above by its first value,

|a_n| \le a_1 = \dfrac13+\dfrac14 = \boxed{\dfrac7{12}}

(b) And because both fractions in a_n converge to 0, while remaining positive for any natural number <em>n</em>, the sequence is bounded below by 0,

|a_n| \ge \boxed{0}

(c) Finally, a_n is bounded above and below, so it is a bounded sequence.

Part 2: Yes, a_n is monotonic and strictly decreasing.

Part 3:

(a) I assume the choices are between convergent and divergent. Any monotonic and bounded sequence is convergent.

(b) Since a_n is decreasing and bounded below by 0, its limit as <em>n</em> goes to infinity is 0.

Part 4:

(a) We have

\displaystyle \lim_{n\to\infty} \frac{10n^2+1}{n^2+n} = \lim_{n\to\infty}10+\frac1{n^2}}{1+\frac1n} = 10

and the (-1)ⁿ makes this limit alternate between -10 and 10. So the sequence is bounded but clearly not monotonic, and hence divergent.

(b) Taking the limit gives

\displaystyle\lim_{n\to\infty}\frac{10n^3+1}{n^2+n} = \lim_{n\to\infty}\frac{10+\frac1{n^3}}{\frac1n+\frac1{n^2}} = \infty

so the sequence is unbounded and divergent. It should also be easy to see or establish that the sequence is strictly increasing and thus monotonic.

For the next three, I'm guessing the options here are something to the effect of "does", "may", or "does not".

(c) may : the sequence in (a) demonstrates that a bounded sequence need not converge

(d) does not : a monotonic sequence has to be bounded in order to converge, otherwise it grows to ± infinity.

(e) does : this is true and is known as the monotone convergence theorem.

5 0
3 years ago
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