Answer:
y = 9x + (-7) should be the answer
Answer:
5.6 days
Step-by-step explanation:
We are given;
Initial Mass; N_o = 25 g
Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)
k = 0.1229
Formula is given as;
N_t = N_o•e^(-kt)
Plugging in the relevant values;
12.5 = 25 × e^(-0.1229t)
e^(-0.1229t) = 12.5/25
e^(-0.1229t) = 0.5
(-0.1229t) = In 0.5
-0.1229t = -0.6931
t = -0.6931/-0.1229
t = 5.6 days
A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.
There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.
The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.
However, if the question were to say "and," we would multiply the two probabilities.
Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).


Now we can add them together.

This cannot be simplified further, so the probability is 17 in 52, or 33%.
hope this helps!
Answer:
C. ![f(x)=\sqrt[3]{-x} -1](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B-x%7D%20-1)
Step-by-step explanation:
Consider graph of the parent function (red curve in attached diagram)
![g(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
First, multiply it by -1 to get function
![h(x)=-\sqrt[3]{x}](https://tex.z-dn.net/?f=h%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D)
Then translate the graph of the function h(x) 1 unit down, then you'll get the function
![f(x)=-\sqrt[3]{x} -1\\ \\ \text{or}\\ \\f(x)=\sqrt[3]{-x} -1](https://tex.z-dn.net/?f=f%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D%20-1%5C%5C%20%5C%5C%20%5Ctext%7Bor%7D%5C%5C%20%5C%5Cf%28x%29%3D%5Csqrt%5B3%5D%7B-x%7D%20-1)
The graph of the function f(x) is represented by the blue curve in attached diagram