1.
-(10)⁻¹ = -1/10
Answer: - 1/10
2.
1/c⁻⁵ = c⁵
Answer: c⁵
3.
When x = 2 and y = -4, obtain
2³/(-4)⁵ = 8/-1024 = -1/128
Answer: -1/128
4.
5.1 x 10⁸ is written in scientific notation.
Answer: Yes; the number is written in scientific notation.
5.
5.71 x 10⁻³ = 0.00571 (in standard notation)
Answer: 0.00571
6.
The given diameters are
1.7 x 10⁻⁴, 1.4 x 10⁻³, 1.2 x 10⁻⁵, 1.9 x 10⁻⁴ cm
In ascending order, they are
1.2 x 10⁻⁵, 1.7 x 10⁻⁴, 1.9 x 10⁻⁴, 1.4 x 10⁻³ cm
Answer: 1.2 x 10⁻⁵, 1.7 x 10⁻⁴, 1.9 x 10⁻⁴, 1.4 x 10⁻³
Answer:
72
Step-by-step explanation:
41+31
Answer:
- C. Domain: All real numbers greater than or equal to 0 and less than or equal to 50. Range: All real numbers greater than or equal to 0 and less than or equal to 100
Step-by-step explanation:
- <em>Refer to attached</em>
<u>Continuation of the question:</u>
Which answer choice best describes the domain and range of the function for this situation?
A
- Domain: All real numbers greater than or equal to 0 and less than or equal to 100
- Range: All real numbers greater than or equal to 0 and less than or equal to 50
B
- Domain: (-2)
- Range: (100)
C
- Domain: All real numbers greater than or equal to 0 and less than or equal to 50
- Range: All real numbers greater than or equal to 0 and less than or equal to 100
D
- Domain: (100)
- Range: (-2)
------------
As per the graph, the domain is x-values in the interval [0, 50] minutes and the range is y-values in the interval [0, 100] percentage.
<u>Correct answer choice is therefore:</u>
The rest are all incorrect
Answer:
x = - 5, x = 3
Step-by-step explanation:
To find the x- intercepts equate f(x) to zero, that is
x² + 2x - 15 = 0 ← in standard form
Consider the factors of the constant term ( - 15) which sum to give the coefficient of the x- term ( + 2)
The factors are + 5 and - 3, since
5 × - 3 = - 15 and 5 - 3 = + 2, hence
(x + 5)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5 ⇒ (- 5, 0 ) ← x- intercept
x - 3 = 0 ⇒ x = 3 ⇒ (3, 0 ) ← x- intercept
Answer:
(C)
Step-by-step explanation:
Given the distance, d(t) of a particle moving in a straight line at any time t is:
To find an expression for the instantaneous velocity v(t) of the particle at any given point in time, we take the derivative of d(t).
The correct option is C.