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alukav5142 [94]
3 years ago
12

Write an explicit formula for an, the nth term of the sequence 21, 27, 33...

Mathematics
1 answer:
Arada [10]3 years ago
8 0

Answer:

Tn=6n+15

Step-by-step explanation:

Tn=6n+15

T9=6*9+15

T9=54+15

T9=69

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What is the exact volume of a sphere with a diameter of 18 cm?<br> ______ cm3
madam [21]
The formula to find the volume of a sphere is: V= \frac{4}{3}  \pi r^{3}
Since the diameter is 18 cm, so the radius is equal to r=18/2 = 9
Now we replace r by it's value, so we get: 
\frac{4}{3} \pi  9^{3}
\frac{4}{3}  \pi 729
972 \pi
And we get approximately 3053.63  cm^{3}
Hope this Helps :D 
4 0
3 years ago
Demonstrate two different ways to solve the equation 5^(2x+1) = 25.
Tanzania [10]

Answer:

Step-by-step explanation:

Method 1: Taking the log of both sides...

So take the log of both sides...

5^(2x + 1) = 25

log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...

(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...

(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...

(2x)log 5 + log 5 - log 5 = log 25 - log 5

(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)

(2x)log 5 = log 5 <-- divide both sides by log 5

(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..

2x = 1

x=1/2

Method 2

5^(2x+1)=5^2

2x+1=2

2x=1

x=1/2

3 0
3 years ago
Which of the following expressions is equivalent to a perfect square?
Liula [17]

Answer:

F

Step-by-step explanation:

if you do the math you end up with 49 which is a perfect square of 7

3 0
3 years ago
How do you write <br> 16<br> _<br> 8<br> as a percentage?
Sav [38]
I think its 200%

Best Of Luck!!!!
:D

7 0
4 years ago
I know it's an insanely simple question, but my brain isn't working right now and I need help.
faltersainse [42]

Answer:

4 cookies

Step-by-step explanation:

1/3 of 12 is 4 so her son ate 4 cookies, your welcome

6 0
3 years ago
Read 2 more answers
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