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2 years ago

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What is 1.53 to the nearest tenth

2 answers:

Marat540 [252]2 years ago

7 0

1.53 rounded to the nearest tenth is 1.5

Natali [406]2 years ago

5 0

Answer:

1.50

Step-by-step explanation:

The tenths place is the number to the exact right of the decimal, in this case it would be the 5. To round, you need to look to the number to the right of it, in this case it would be the 3.

There's this rule, there's also a rhyme, but I can't remember it atm, anyways it's 5 or higher you round up, 4 or lower you round down. So because it's a 3 you round down, which bascially means it stays the same.

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Can you help me solve this <br><br>Show your workings<br>

True [87]

Card P is the answer
8*3=24
8*4=32
8*5=40

8 0

2 years ago

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Rewrite as a simplified faction

elena-s [515]

Here is the final answer
3 2/9
=29/9. Hope it help!

8 0

2 years ago

Find the radius of convergence, then determine the interval of convergence

galben [10]

The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.

<h3>Find the radius of convergence R and the interval of convergence:</h3>

Ratio test is the test that is used to find the convergence of the given power series.

First aₙ is noted and then aₙ₊₁ is noted.

For ∑ aₙ, aₙ and aₙ₊₁ is noted.

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|$ = β

If β < 1, then the series converges

If β > 1, then the series diverges

If β = 1, then the series inconclusive

Here $a_{k}$ = $\frac{(x+2)^{k}}{\sqrt{k} }$ and $a_{k+1}$ = $\frac{(x+2)^{k+1}}{\sqrt{k+1} }$

Now limit is taken,

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|$ = $\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }/\frac{(x+2)^{k} }{\sqrt{k} }|$

= $\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }\frac{\sqrt{k} }{(x+2)^{k}}|$

= $\lim_{n \to \infty} |{(x+2) } }{\sqrt{\frac{k}{k+1} } }}|$

= $|{x+2 }|\lim_{n \to \infty}}{\sqrt{\frac{k}{k+1} } }}$

= $|{x+2 }|$ < 1

- 1 < ${x+2 }$ < 1

- 1 - 2 < x < 1 - 2

- 3 < x < - 1

We get that,

interval of convergence = (-3, -1)

radius of convergence R = 1

Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.

Learn more about radius of convergence here:

brainly.com/question/14394994

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5 0

10 months ago

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A small forest fire is cited due north of a fire lookout tower on Pikes Peak. From a second tower located 12.6 miles due west of

Brums [2.3K]

Answer:

10.76 miles

Step-by-step explanation:

<em>The following figure can be drawn from the information given.</em>

<em>We have to find the adjacent side which is between the given angle and 90 degrees.</em>

<em>Tan formula will be applied</em>

Tan (anlge) = opposite/adjacent

Opposite = 12.6

Angle = 49.5°

Adjacent = x

Tan (49.5°) = 12.6/x

x = 10.76 miles

Therefore, the fire is 10.76 miles away from the tower Pikes Peak.

!!

5 0

2 years ago

Increase #500 in the ratio 16:10

Oxana [17]

Answer:

Answer is <em>900</em>.

Step-by-step explanation:

To find:

Increase #500 in the ratio 16:10

Solution:

<em>New Number: Old Number = 16:10</em>

We are given the old number as 500.

Let the new number after increase = $x$

Now, using the above ratio:

<em /> $x$ <em>: </em>500<em> = </em>16:10

$\dfrac{x}{500} = \dfrac{16}{10}\\\Rightarrow x = 500 \times \dfrac{16}{10}\\\Rightarrow x = 50 \times 16\\\Rightarrow x = 900$

Therefore, the increased value of 500 in the ration 16:10 is <em>900</em>.

3 0

3 years ago