MATHEMATICS COLLEGE

A lightning bolt is graphed on the coordinate plane below. A rotation of this lightning bolt 270° clockwise would place it in which quadrant?A. Quadrant I (x, y)B. Quadrant II (-x, y)C. Quadrant III (-x, -y)D. Quadrant IV (x, -y)

Answers

Answer 1

Answer:

Explanation

From the image, it can be seen that the initial position of the lightning bolt is in the first quadrant.

After it has been rotated 270 degrees clockwise, it moves by three quadrants and stays in the second quadrant

Answer: Option B

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Given mn, find the value of x.

Please answer this in two minutes

Answers

Hey there! :)

Answer:

m = 1/2.

Step-by-step explanation:

Find the slope using the slope formula:

$m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)$

Points on the graph we can use are:

(0, 3) and (2, 4)

Plug these into the formula:

$m = (4-3)/(2-0)$

Simplify:

$m = (1)/(2)$

Therefore, the slope is 1/2.

Answer:

1/2

Step-by-step explanation:

Rise over run solution:

choose a point and go 1 unit up and 2 to the right!

hope this helped

126314 tickets have been sold to a concert. On average, each ticket holder throws away 942grams of rubbish. The rubbish will be taken away in trucks that must not carry more than 575 kilograms each. Estimate the number of trucks that will be needed?

Answers

So, there are 118,987,788 grams of rubbish in total, which is equal to 118,987.788 kg of rubbish (as there are 1000g to a kilogram). Therefore, there are 118,987.788/575 = 206.94 trucks required, and thus 207 trucks will be required to carry the rubbish, as you can't have 0.94 of a truck.

Raquel kicks a football. The height in feet canbe modeled by the equation
h(x) = -16x2 + 64x.
How long in seconds before the ball reaches
its maximum height? Show work.
What is the maximum height of the ball? Show work.

answer fast please

Answers

Answer:

the answer is 0

Step-by-step explanation:

16x2 + 64x.

Answer:

Step-by-step explanation:

i agree with bigmack0

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. Records also indicate that three times as many king-size mattresses are sold as twin-size mattresses. Calculate the probability that the next mattress sold is either king or queen-size.

Answers

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=(P_K+P_T)/(4)\n\n\n4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\n\nP_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\n\n4P_Q=P_K+P_T=3P_T+P_T=4P_T\n\nP_Q=P_T\n\n\nP_Q+P_K+P_T=1\n\nP_T+3P_T+P_T=1\n\n5P_T=1\n\nP_T=0.2\n\n\nP_Q=P_T=0.2\n\nP_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

Final answer:

The probability that the next mattress sold is either king or queen-size is 1.

Explanation:

To calculate the probability of the next mattress sold being either king or queen-size, we need to consider the information given. Let's assign variables to represent the number of king, queen, and twin-size mattresses sold. Let K represent the number of king-size mattresses, Q represent the number of queen-size mattresses, and T represent the number of twin-size mattresses.

From the first piece of information, we know that Q = (K + T)/4 since the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined.

From the second piece of information, we know that K = 3T since three times as many king-size mattresses are sold as twin-size mattresses.

We can substitute the second equation into the first equation to eliminate K and solve for Q in terms of T. We get Q = (3T + T)/4 = 4T/4 = T.

Therefore, the probability of the next mattress sold being either king or queen-size is the combined probability of selling a king or queen-size mattress. This is the probability of selling a king-size mattress plus the probability of selling a queen-size mattress. Considering T as the total number of mattresses sold, the probability is P(K or Q) = (3T/4T) + (T/4T) = 4T/4T = 1.