Hello, that number before the parenthesis means we have to multiply the number outside the parenthesis for the one inside it.
So, the first one 9(1/3) it's easy. We can write 9 as 9/1 to semplify our work.
You have to cross multiply. When cross multiplying, you can simplify numbers. 9 and 3 can be both divided for 3.
You get 3/1 × 1/1 = 3
It equals to 3
Then, 4(2.6) = 4 × 2.6 = 10.4
2(-3) = +2 × (-3) = -6
When you multiply a positive number for a negative one, you'll always get a negative number.
Sum all the results.
3 - 10.4 - 6 = 3 - 10.4 - 6 = - 13,4
Final answer: -13,4
Answer:
The probability is 1/8
Step-by-step explanation:
We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:
Probability = Number of nectarines / Total pieces = 2 / 16
To find the fraction in the simplest form, we divide the numerator and denominator by 2:
Probability = (2/2) / (16/2) = 1/8
Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
