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vladimir1956 [14]
3 years ago
15

A number to the 9th power divided by the same number to the 6th power equals 64. What is the number?

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0
Use an equation:
x^9/x^6=64
x^(9-6)=64
x^3=64
x=4

note that x^9 means "x to the power of 9", same with other ones

the number is 4.
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The local humane society currently has 60 cats if 300 animals are in the shelter what percent are the cats
Kaylis [27]
20% are cats.

20 cats/300 total animals=0.2

0.2 is the same thing as 20%.
7 0
3 years ago
Breana is selling tickets to a choral performance. On the first day of ticket sales , she sold 3 senior citizen tickets and 1 ch
HACTEHA [7]

Answer:

The senior tickets are 9 dollars and 30 cents.

Step-by-step explanation:


6 0
3 years ago
PLZ HELP
Alex

Answer:

The correct option is C ) 109.5°

Therefore,

m\angle E=109.5\°

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}

Substituting the values we get

\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}

\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}

Therefore,

\angle E=\cos^{-1}(-0.3333)

m\angle E=109.5\°       ............As it is in Second Quadrant

Therefore,

m\angle E=109.5\°

4 0
3 years ago
Hello there!
otez555 [7]

Answer:

24  Domain: s>=2  or s<=-2

25. 3x^2 +14x +10

26. x^2 -2x+5  

Step-by-step explanation:

24.  Domain is the input or s values

square roots must be greater than or equal to zero

s^2-4 >=0

Add 4 to each side

s^2 >=4

Take the square root

s>=2  or s<=-2


25.  f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = 3u^2 +2u-6

g(x) = x+2

f(g(x) = 3(x+2)^2 +2(x+2) -6

Foil the squared term

       = 3(x^2 +4x+4) +2x+4-6

Distribute

       = 3x^2 +12x+12 +2x+4-6

Combine like terms

   =3x^2 +14x +10


26 f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = u^2+4

g(x) = x-1

f(g(x) = (x-1)^2 +4

Foil the squared term

         = (x^2 -2x+1) +4

         = x^2 -2x+5  

7 0
3 years ago
Find a and b. Help me please.
Yakvenalex [24]
Hi there. Actually, the image that you have provided us with is a little bit blurry so, if you can make the image a little bit clearer, then I can help you with this question.
Thanks.
4 0
2 years ago
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