Answer:
Hope these helps
Step-by-step explanation:
5 a. 32% of 881 = 281.92
5 b. 39% of 719 = 280.41
6 a. 35% of 441 = 154.35
6 b. 67% of 429 = 287.43
7 a. 21% of 358 = 75.18
7 b. 47% of 6 =2.82
8 a. 67% of 811 = 543.37
8 b.
97% of 311 = 301.67
Answer:
- The function is injective but nor surjective
Step-by-step explanation:
<u>We see that:</u>
<u>For any x₁ and x₂ ∈ N, </u>
- f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers
It it confirmed one-to-one, hence it is injective
<u>Check the surjectivity:</u>
f(x) = y ∈ N
<u>Let y = 2, then:</u>
Since x is not natural, the function is not surjective
The maximum value can be determined by taking the derivative of the function.
(dh/dt) [h(t)] = h'(x) = -9.8t + 6
Set h'(x) = 0 to find the critical point
-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8
Plug the time back into the function to find the height.
h(6/9.8) = -4.9(6/9.8)^2 + 6(6/9.8) + .6
= 2.4
And I don't understand your second question.
<u>Answer:</u>
An obtuse triangle has two angles 45 and 18. The value of the unknown angle is
<u>Solution:</u>
Given that two angles of an obtuse triangle is 45 and 18.
Third angle is θ
We are asked to find the value of third unknown angle theta
According to <em>angle sum property of triangle</em>, sum of three angles of triangle is
This means in our case sum of 45, 18 and θ should be
Hence value of unknown third angle of an obtuse triangle is
This might not be correct but....
I’m going to use rounding,
42 x 2 = 84
84 divides by 3 = 28,
Which is near 30......So the number of people in the group is rounding to about 2 people.