Based on trend line what is the GDP prediction to be in the year 2018

Which of the following functions have a vertical asymptote for values of θ such that cos θ = 1? Select two answers.

valentina_108 [34]

Well costheta=1, at 0, 2pi,...
knowing this we can exclude the first two as the are not undefined anywhere.
tan is sin/cos, at 0 sin is also 0 so it becomes 0/1 which is 0, not undefined.
sec is1/cos, cos is 1, this is just 1
csc is 1/sin, sin is 0, 1/0 is undefined, meaning there will be an asymptote
cot is cos/sin, this is again 1/0, so it is also an asymptote
The last two answers are the ones you want

3 0

3 years ago

The graph shows the distance a car traveled, y, in x hours:

meriva

Answer:

The correct answer is 30

Step-by-step explanation:

Given: The x-axis represents the time in hours and the y-axis represents the distance in miles.

The line passes through the points $(2,60)$ and $(4,120)$

To find: The rise-over-run value for the relationship in the graph.

$\begin{aligned}m &=\frac{R i s e}{R u n} \\&=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\&=\frac{120-60}{4-2} \\&=\frac{60}{2} \\&=30\end{aligned}$

Thus, the rise-over-run value for the relationship represented in the graph is 30.

4 0

3 years ago

Read 2 more answers

You drive a distance of 242 miles and use 11 gallons of gas.what is the average miles per gallon of your car?

BartSMP [9]

242÷11=22
The average mpg is 22

4 0

4 years ago

Read 2 more answers

Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t

Elden [556K]

Answer: a) $\bold{\dfrac{3}{16}}$ b) $\bold{\dfrac{1}{36}}$

<u>Step-by-step explanation:</u>

a) In order to get an even number, you have the 3 different scenarios:

1) Even, Even, Even, Even $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

2) Even, Even, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

3) Odd, Odd, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

<em>Order doesn't matter</em>

Add them up to get your answer: $\dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}$

b) If one die is a 2 and another is a 3 and the other two dice can be any number, then you have 1 possibility for a 2, 1 possibility for a 3, and 6 possibilities for each of the other two dice.

$\dfrac{1\times 1\times 6\times 6}{6^4}\quad =\dfrac{1}{6^2}\quad =\large\boxed{\dfrac{1}{36}}$

3 0

3 years ago

The probability that you roll a 3 on a six-sided die is . The probability that you flip a coin that lands on tails is . The prob

aivan3 [116]

Answer:

1/6; 1/2; 1/12; P(T|3) = 1/2; therefore, events are independent because P(T|3) = P(T).

Step-by-step explanation:

The probability of rolling a 3 on a six-sided die is 1/6. This is because there is one 3 out of 6 possibilities.

The probability of flipping a coin on tails is 1/2. This is because there is one side "tails" out of 2 possibilities.

The probability of rolling a 3 and flipping tails is 1/6(1/2) = 1/12.

P(T|3) = P(3 and Tails)/P(3) = 1/12 / (1/6) = 1/12(6/1) = 6/12 = 1/2

Since P(T|3) = P(3), these are independent events.

3 0

3 years ago