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11Alexandr11 [23.1K]
3 years ago
12

Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2}  \\  = 2\pi \times 2 \times 5 + 2\pi {2}^{2}  \\  = 20\pi + 8\pi \\  = 28\pi \\  = 28 \times 3.14 \\  = 87.92 {unit}^{2}  \\ thank \: you

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Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d
iogann1982 [59]
<span>Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Solution:

Since  it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.

for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!

for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d

they have the same value for d, thus the correct answer is </span><span> c. -13, 21, 55, 89</span>
8 0
4 years ago
With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the
coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is  1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day

The median is   Median  = 38 ^{th} \ girl (subject) =  2 \serving\ of\ fruit\ per\ day

The third quartile  is 3rd Q =  56^{th} \  girl (subject) = 4 \serving\ of\ fruit\ per\ day  

The  mean is  \= x = 2.62

Step-by-step explanation:

From the question we are told that

   The total  number of girls is n =  74

Generally the median is mathematically represented as

       Median  =  \frac{\frac{n}{2}  +[ \frac{n}{2} + 1]  }{2}

So

          Median  =  \frac{\frac{74}{2}  +[ \frac{74}{2} + 1]  }{2}

=>         Median  =  \frac{37  +38 }{2}

=>         Median  =37.5 \  girl    

From the histogram 37.5 \approx 38^{th} \ girl fall under 2 fruits per day

Generally the first quartile is mathematically represented as

      1st \ Q =  \frac{\frac{n}{4} + [\frac{n}{4} + 1]  }{2}

=>    1st \ Q =  \frac{\frac{74}{4} + [\frac{74}{4} + 1]  }{2}

=>     1st \ Q = 19 \  girl

From the histogram 19^{th}girl fall under 1 fruit per day

 Generally the third quartile is mathematically represented as

     3rd\  Q =  \frac{\frac{n}{2}  + n }{2}

=>    3rd\  Q =  \frac{\frac{74}{2}  + 74 }{2}

=>    3rd\  Q =  55.5

From the histogram 55.5 \approx 56^{th} \ girl fall under 4 fruits per day

Generally from the histogram table the frequency  [number of subjects (girls) ]  and the servings of fruit per day can be represented as

                                                                                                               Total

x(servings per day )        0     1     2     3     4     5    6     7      8    

f (number of subjects )   15    11   15     11    8     5    3     3      3    \sum f  =  74

xf                                       0    11    30   33   32  25   18   21     24    \sum xf =  194

Generally the mean is mathematically represented as

      \= x = \frac{1}{ \sum f}  * [\sum xf]

=>     \= x = \frac{1}{ 74}  *194

=>      \= x = 2.62

4 0
3 years ago
Find the minimum or maximum value of the function. What is the H? (Desmos)
beks73 [17]

Answer:

Minimum: (2,4)

Step-by-step explanation:

h(x)=3(x^{2}-4x)+16

=3(x^{2}-4x+4-4)+16   (- For the balance of equation, and attention 1)

=3(x-2)^{2}-3*4+16

=3(x-2)^{2}+4

<h3>Attention:</h3>

1. (a-b)^{2}=a^{2}  -2ab+b^{2}

2. The formula for the vertex form is y = a(x-h)^{2}+k, the vertex is (h,k)

4 0
3 years ago
True or false a function can not have a repeat values in the range
SVETLANKA909090 [29]

Answer:

False. false false false false

5 0
3 years ago
A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. a. Which customer
steposvetlana [31]
To find the answer you need to find the common factor of numbers 25 and 60

25,50,75,100,125,150,175,200,225,250,275,300

60,120,180,240,300

The 300th customer will receive both cards, and a total of $220 and 17 gift cards were given away.
4 0
4 years ago
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