a trapezoids longer base is 4 times its shorter base. If the trapezoid has an area of 80 cm squared and a height of 8cm has what is the length of each base ​

Answers

Answer 1
Answer: Long One is 16
Short One is 4!!

A=base+base/2 * height

A=80

16+4/2 = 10

10 * 8 = 80!!

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X^3 times x^? equals to x^17

what’s the missing exponent?

Answers

Answer:

  14

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

You have ...

  (x^3)(x^a) = x^17

  x^(3+a) = x^17

Equating exponents, we get ...

  3 +a = 17

  a = 14

The missing exponent is 14.

A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?

Answers

Answer:

528 miles

Step-by-step explanation:

First, we need to figure out how many miles it drives in 1 hour:

480 divided by 4 = 120

now, we add 12 to 120: 120 + 12 = 132

132 x 4 = 528

hope this helped have a great day/night!! :'')

Final answer:

The car would have traveled 528 miles in 4 hours with the increased speed of 12 mph.

Explanation:

To calculate the distance the car would have traveled in 4 hours with a speed that is 12 mph faster, we need to find the original speed of the car. We can use the formula speed = distance/time, where the speed is the original speed of the car, the distance is the distance the car traveled in 4 hours (480 miles), and the time is 4 hours. Rearranging the formula, we have distance = speed x time. So, the distance the car would have traveled with the increased speed in 4 hours is 480 miles + 12 mph x 4 hours.

Using the formula, we can calculate the distance:
distance = (480 miles) + (12 mph x 4 hours) = 480 miles + 48 miles = 528 miles.

Therefore, if the car's speed was 12 mph faster, it would have traveled a distance of 528 miles in 4 hours.

Learn more about calculating distance with increased speed here:

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A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2.Select the graph that matches the description.

Answers

Answer:

Graph represented by option D is the correct choice.

Step-by-step explanation:

We have been given that a parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x=-2.

Since the minimum value of our given parabola is 0, so y-coordinate of vertex of parabola would be 0. This means that vertex of parabola will be at x-axis.

Since Since the minimum value of our given parabola is 0, so our parabola will be upward opening.

We are also told that parabola has an axis of symmetry at x=-2. This means that parabola will be symmetric about line x=-2.

The y-intercept of parabola is 4. This means that parabola will intersect y-axis at point (0,4).

Upon looking at our given choices, we can see that option D is the correct choice as it meets all the given conditions.

The answer is d. The y-intercept is at 4, the parabola is at 0 and the axis of symmetry is x=-2.

Every morning Jack flips a fair coin ten times. He does this for anentire year. LetXbe the number of days when all the flips come out the same way(all heads or all tails).(a) Give the exact expression for the probabilityP(X >1).(b) Is it appropriate to approximateXby a Poisson distribution

Answers

Answer:

See the attached picture for detailed answer.

Step-by-step explanation:

See the attached picture for detailed answer.

Final answer:

The probability question from part (a) requires calculating the chance of getting all heads or all tails on multiple days in a year, which involves complex probability distributions. For part (b), using a Poisson distribution could be appropriate due to the rarity of the event and the high number of trials involved.

Explanation:

The question pertains to the field of probability theory and involves calculating the probability of specific outcomes when flipping a fair coin. For part (a), Jack flips a coin ten times each morning for a year, counting the days (X) when all flips are identical (all heads or all tails). The exact expression for P(X > 1), the probability of more than one such day, requires several steps. First, we find the probability of a single day having all heads or all tails, then use that to calculate the probability for multiple days within the year. For part (b), whether it is appropriate to approximate X by a Poisson distribution depends on the rarity of the event in question and the number of trials. A Poisson distribution is typically used for rare events over many trials, which may apply here.

For part (a), the probability on any given day is the sum of the probabilities of all heads or all tails: 2*(0.5^10). Over a year (365 days), we need to calculate the probability distribution for this outcome occurring on multiple days. To find P(X > 1), we would need to use the binomial distribution and subtract the probability of the event not occurring at all (P(X=0)) and occurring exactly once (P(X=1)) from 1. However, this calculation can become quite complex due to the large number of trials.

For part (b), given the low probability of the event (all heads or all tails) and the high number of trials (365), a Poisson distribution may be an appropriate approximation. The mean (λ) for the Poisson distribution would be the expected number of times the event occurs in a year. Since the probability of all heads or all tails is low, it can be considered a rare event, and the Poisson distribution is often used for modeling such scenarios.

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When we use letters to represent unknown numbers, we call the equation

Answers

A value the replace a number that you can't see
It's called variables, that's what we see

Can someone please help me with this question so i can i get my grades up: (2/9v)−(−1/3v+5/9)

Answers

Answer:

5v/9−5/9

Step-by-step explanation:

If its right can i plz have brainliest :)