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2 years ago

Help me, please!

Mathematics

1 answer:

vovangra [49]2 years ago

3 0

Answer:

<h2>Yes, the circumference will always double when the radius is doubled</h2>

Simple Explanation: For example, 2 is the given radius, we can double 2 and get 4 as our diameter, then times pi. We get 4 pi as our initial circumference.

When we double the radius, we have a given radius of 4, and to find the diameter we get 8. 8 times pi= 8 pi. This is the simple version of the below example

Full Example:

Radius - 3

Pretend the radius is 3, do 3*2 and get the diameter of 6, then times 3.14 equals 18.84. So the current circumference is 18.84.

Now to find the new circumference. Now the radius is 6. To find the diameter we can do 6*2 and get 12. Now to find circumference; 12 x 3.14 = 37.68. 37.68 / 18.84 = 2

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Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to

Mekhanik [1.2K]

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

20 is the first term or a1

1.1 is the common ratio or r

A(22) = 20(1.1)^22-1

22nd term = 20(1.1)^21

22nd term = 148.00

sum of geometric sequence

formula

Sn = a1(1-r^n)/1-r

Sn = sum

a1 = first term

n = number of term

r = constant ratio

sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

socratic

miniwebtoolcomgeometricsequencecalculator

6 0

2 years ago

Pls help I’m failing math I’ll brainlest

Keith_Richards [23]

Answer:

z=-9 - 5.4

hope it helps

Step-by-step explanation:

please mark me brainliest

4 0

2 years ago

The dimensions of a triangular prism are shown in the diagram.

Inessa05 [86]

The volume is the triangular prism is 6 cm

4 0

3 years ago

Read 2 more answers

Please answer I’ll rate brainlyest

12345 [234]

Answer:

$5P3*6C4=60*15=900$

Step-by-step explanation:

$5P3$ refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;

$5P3=\frac{5!}{(5-3)!}$

The factorial of an integer n is evaluated as;

$n!=n*(n-1)*(n-2)*(n-3).......3*2*1$

Using this concept, the above expression can now be simplified as follows;

$5P3=\frac{5!}{2!}=\frac{5*4*3*2!}{2!}=5*4*3=60$

Therefore, the permutations of 5 items taken 3 at a time is 60.

The next expression, $6C4$ refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;

$6C4=\frac{6!}{4!(6-4)!}=\frac{6!}{4!*2!}=\frac{6*5*4!}{4!*2*1}=\frac{6*5}{2*1}=15$

Therefore, the combinations of 6 items taken 4 at a time is 15.

The final step is to evaluate the product;

$5P3*6C4=60*15=900$

3 0

2 years ago

uppose germination periods, in days, for grass seed are normally distributed and have a known population standard deviation of 2

natka813 [3]

Answer: 0.701

Step-by-step explanation:

Formula : $EBM =z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$ , where $\alpha=$ significance level , $\sigma =$ Population standard deviation, n= sample size.

As per given, n= 22

$\sigma = 2$

Critical z- value for 90% confidence level : $z_{\alpha/2}=1.645$

Then,

$EBM =(1.645)\dfrac{2}{\sqrt{22}}\\\\=(1.645)\dfrac{2}{4.690416}\\\\\approx0.701$

Hence , error bound (EBM) of the confidence interval with a 90% confidence level= ± 0.701

5 0

2 years ago