Answer:

Explanation:
From the question, we have it that the probability of heads coming up every time or tail coming up every time is 1:7 if the coin is tossed in 4 tosses
What this means is that we have a probability of 1/8 of head showing up and a probability of 7/8 that a tail will show up in each toss of the coin
For four throws, it means all four are heads or all four are tails
If all four are heads, we have the probability of this happening as:

if all four are tails, we have the probability as:

Now, the probability of either heads or all tails after 4 tosses will be:
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:

Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation

at T = 90°C and t = 3 minutes


or

taking the natural log both sides, we get
3k = 
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C

or

or

or

taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes
Answers
1. Solve inside bracket first
7x^2+4x-26+7x^2+3x-15
= (14x^2+7x-41) Answer
2. 5x(6x^2+3x+7)-1(6x^2+3x+7)
= 30x^3+15x^2+35x-6x^2-3x-7
= (30x^3+9x^2+32x-7) Answer
Cross multiplication!

=

7 × 24 = 8x
168 = 8x
Divide both sides by 8 to isolate x

=

8 and 8 cancels out
21 = x
Answer:

Step-by-step explanation:
tan is defined as: 
sin is defined as: 
cos is defined as: 
We can also define tan as: 
because plugging in the definitions of sin and cos in we get: 
which you'll notice is the original definition of tan(x)
So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

plugging in sin(x) and cos(x) we get:

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.
We can do this by multiplying the fraction by:
which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator
