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2 years ago

Anyone know how to do this?

Mathematics

1 answer:

MrRa [10]2 years ago

5 0

Answer:

1) $2^{\frac{5}{3} }$ = $2^{\frac{5}{3} (3) }$ = $2^{5}$

2) $2^{\frac{5}{3} }$ = $\sqrt[3]{2^{5} }$ = $\sqrt[3]{32 }$

3) $2^{\frac{5}{3} }$ = 3.17...

1^2 = 1

2^2 = 4

$2^{\frac{5}{3} }$ is between 1 and 2 to the power of 2

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5/28

natulia [17]

Answer:

Part a) The rule of the sequence is $A(n)=50(0.52^{n-1})$

Part b) The height of the ball will be $13.52\ cm$

Step-by-step explanation:

Part a) Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.

we know that

In a <u>Geometric Sequence</u> each term is found by multiplying the previous term by a constant called the common ratio (r)

In this problem we have a geometric sequence

Let

n-----> the number of path

a1 ----> is the initial height

r -----> the common ratio

we have

$a1=0.5\ m=0.5*100=50\ cm$

$r=52\%=52/100=0.52$

The rule for the sequence is equal to

$A(n)=a1(r^{n-1})$

substitute

$A(n)=50(0.52^{n-1})$

Part b) What height will the ball be at the top of the third path?

For n=3

substitute in the equation

$A(3)=50(0.52^{3-1})$

$A(3)=50(0.52^{2})$

$A(3)=13.52\ cm$

4 0

3 years ago

Farmer Samantha has a cylindrical grain silo with a diameter of 12 feet and a height of 40 feet. The silo is filled with grain t

sammy [17]

Answer:

161,234 pounds of grain will remain in the silo

Step-by-step explanation:

In this question, we are to calculate the amount of grains that will be left in a silo if 20 cows feed on the content for 100 days.

Firstly, we need to calculate the amount of grains present in the silo.

This we can do by first calculating the volume of the silo. Since it is cylindrical in shape, we apply the formula for the volume of a cylinder.

Mathematically, the volume of a cylinder is

V = pi * r^2 * h

Here we have the r = D/2 = 12/2 = 6 feet and h = 40 feet. Plugging this , we have;

V = pi * 6^2 * 40 = 1440pi cubic feet

Now, per cubic feet, we have a weight of 48 pounds. The weight of grains thus present in the silo is thus;

1440pi * 28 = 1440 * pi * 48= 69,120pi pounds of grain

Let’s calculate what the cows would feast on. That would be 20 * 28 * 100 = 56,000 pounds of grains

Now we need to know what will remain. We just need to subtract what is consumed by the cows from we have inside the silo

What is inside the silo would be 69,120 * 22/7 = apprx 217,234 pounds

What will remain is thus 217,234 - 56,000 = 161,234 pounds of grain

3 0

2 years ago

To find amplitude, measure (blank). A. the horizontal distance between consecutive crest positions B. the horizontal distance be

Oksanka [162]

The vertical distance from a crest to the rest position ! I know I'm a little late but I just took this.

5 0

3 years ago

Read 2 more answers

What job will make 232,685 after 5 years

Komok [63]

Do you have a multiple choice selection of answers, because there is no way to pick a job out of the blue without certain choices and a math problem set up.

7 0

2 years ago

A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time student

Butoxors [25]

Answer: $(21.541,\ 23.059)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : $n=240$ , which is a large sample , so we apply z-test .

Sample mean : $\overline{x}=22.3$

Standard deviation : $\sigma= 6$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.960$

Now, a confidence interval at the 95% level of confidence will be :-

$22.3\pm(1.960)\dfrac{6}{\sqrt{240}}\\\\\approx22.3\pm0.759\\\\=(22.3-0.759,\ 22.3+0.759)\\\\=(21.541,\ 23.059)$

7 0

3 years ago