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PIT_PIT [208]
2 years ago
5

Find the total surface area of a cylinder if r=2 and h=8

Mathematics
1 answer:
Ghella [55]2 years ago
5 0

Answer:

100.5

Step-by-step explanation:

22/7*2^2*8

=22/7*4*8

=22/7*32

=100.5

You might be interested in
13. Maria earns $8 per hour plus a 5% commission on the price
Pani-rosa [81]

Answer:

Inequality:

120 + 0.05x ≥ 200

Solution:

x ≥ $1,600

Her total weekly sales must be equal to or greater than $1,600

Step-by-step explanation:

Let x represent the weekly sales she must make to reach her goal.

Given;

Pay rate = $8

Weekly total work hours = 15 hours

Commission on sales = 5% = 0.05

Total weekly earnings is;

8×15 + 0.05×x

120 + 0.05x

Minimum Weekly target earnings = $200

So;

120 + 0.05x ≥ 200

Solving the inequality equation;

0.05x ≥ 200 - 120

0.05x ≥ 80

x ≥ 80/0.05

x ≥ 1600

x ≥ $1,600

Her total weekly sales must be equal to or greater than $1,600

6 0
3 years ago
What are the potential solutions of In(x2 - 25) = 0?
Paha777 [63]

Answer:

x=\pm\sqrt{26}

Step-by-step explanation:

ln(x^2-25)=0

e^{ln(x^2-25)}=e^0

x^2-25=1

x^2=26

x=\pm\sqrt{26}

7 0
3 years ago
Factor and solve the equation
murzikaleks [220]
y=4x^2-64=4(x^2-16)=4(x^2-4^2)=4(x-4)(x+4)\\\\-------------------------------\\\\4(x-4)(x+4)=0\iff x-4=0\ or\ x+4=0\\\\x=4\ or\ x=-4
8 0
3 years ago
How many complex zeros does the polynomial function have?<br> f(x)=−3x^6−2x^4+5x+6
REY [17]

one way would be to factor

I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have


it goes like this:

for a polynomial with real coefients, consider f(x)=-3x^6-2x^4+5x+6.

after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have

We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root


to get the negative roots, we evaluate f(-x) and see how many times the root changes

f(-x)=-3x^6-2x^4-5x+6

signs are (-, -, -, +). there was 1 change in sign

so the function has 1 real negative root



a total of 2 real roots


a function of degree n can have at most, n roots


our function is degree 6 so it has 6 roots

if 2 are real, then the others must be complex

6-2=4 so there are 4 complex roots


you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots

7 0
2 years ago
5•10^6 is how many times as large as 5•10^6
Mamont248 [21]

Answer: 100

Step-by-step explanation:

For any two numbers X and Y, you can figure out how many times larger X is than Y by dividing X by Y . For example , 8 is 4 fine larger than 2 because 8/2=4 5*10^6/5*10^4 = 5/5*10^6/10^4 = 1*10^2 = 100

5 0
3 years ago
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