X ÷ 5 if x = 5 is 1
five to the power of one is 5
any number ÷ by 0 is 0
yes
invalid question
Answer:
A, C and F
Step-by-step explanation:
The given function is
It is an exponential function of the form
On comparing both the functions, we get
It means the initial value is 5 and growth factor is 3.
Since both values are positive it means the given functions is an exponential growth function, therefore,
1. The graph is increasing by a common ratio of 3.
2. As x increases, y increases.
3. As x decreases, y approaches 0.
Hence, the correct options are A, C and F.
Answer:
e. R′
Step-by-step explanation:
Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given
R complement = R` = Universal Set minus Red cards will give blue cards.
a. R OR O
It cannot be this option because we need 4 blue card
b. B AND O
It cannot be this choice as well because 4 is not odd.
c. R OR E
4 is even but we need blue
d. R AND O
Red and odd is again not required
e. R′ = It will give our required result.
f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.
Answer:
20, 45
Step-by-step explanation:
A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles must add up to 65.
The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9
A ratio partition parts of something. We can add the ratio intergers to find it full length.
4+9=13.
Divide 65/13=5.
Multiply 5x4 and 5x9 serpately.
We get 20 and 45
Detailed Answers:
Volume of a Sphere (V) = 4/3 πr^3
1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79
Volume (V) = 5278.79 cm^3
2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52
Volume (V) = 2145.52 cm^3
3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14
Volume (V) = 7241.14 cm^3
4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14
Volume (V) = 113.14 cm^3
