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Tema [17]
3 years ago
6

I reached into my pocket and found that I have only dimes n nickels. I have 2.00. I have 11 coins. How many dimes do I have?

Mathematics
1 answer:
sdas [7]3 years ago
6 0
This is not possible,  because if you had 11 coins,  then not even 11 dimes will cover it,  because 11*10 is 110,  or $1.10
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Can someone please help me
Nikolay [14]

Answer:

B

Step-by-step explanation:

x²+2x=19 add 1 to both sides which gives you x²+2x+1=20

x²+2x+1 is the same as (x+1)²

Therefore (x+1)²=20

6 0
3 years ago
I need to know how to get the scale factor from a h-shaped polygon
Lesechka [4]
“To find the scale factor, we simply create a ratio of the lengths of two corresponding sides of two polygons. If the ratio is the same for all corresponding sides, then this is called the scale factor and the polygons are similar.”
5 0
3 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

#SPJ1

5 0
1 year ago
Read 2 more answers
The formula for finding the volume of a cone is V = 1/3πr2h. The volume of a cone is 300 cm3 and the height of the cone is 10 cm
stepladder [879]
The closest approximate answer would be B. 5cm
5 0
3 years ago
Use the image below to answer the following question:
nikdorinn [45]

Answer:

The ratios are both identical. (4 over 5 and 4 over 5)

Step-by-step explanation:

Th picture below represent the image you are referring.

sin x = opposite / hypotenuse

opposite side = 4

hypotenuse = 5

sin x° = 4/5

cos y° = adjacent/hypotenuse

adjacent = 4

hypotenuse = 5

cos y° = 4/5

The ratios are both identical (4 over 5 and 4 over 5)

6 0
3 years ago
Read 2 more answers
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