Answer:
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Step-by-step explanation:
There are no numbers that are both greater than 9 and less than 2. The expression describes the empty set.
Answer:
37, 38, and 39
Step-by-step explanation:
Write the equation by converting words into math symbols:
- consecutive means n, n+1, and n+2
- subtract -
- product *
- result is =
This means "the product of the smaller two" is n(n+1).
This also means "the product of the greater two" is (n+1)(n+2)
They are subtracted from each other and equal to 76. So it becomes
(n+1)(n+2) - n(n+1) = 76
Write and solve:
The smallest number is 37. The next is 38. The last is 39.
Answer:
The entire floor can contain approximately 4178 fans
Step-by-step explanation:
The first step is to calculate the area of the basketball floor.
we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.
The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.
From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.
This is = 1.125 square feet.
To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.
4700/ 1.125 =4177.8 4178 fans
Answer:
the answer is 12.7, you add four plus 8.7
The bird on the roof of a 250 ft building landed on the ground after 25 seconds
<h3>The height of the bird is modelled as follows:</h3>
h(t) = -t² + 15t + 250
h(t) = height of the bird above the ground(ft)
t = time in seconds after leaving the roof.
Therefore, the time in seconds the bird land after leaving the roof can be calculated as follows:
h(t) = -t² + 15t + 250
0 = -t² + 15t + 250
0 = -t² + 15t + 250
t² - 15t - 250 = 0
Using quadratic formula,
a = 1
b = -15
c = -250
t = -b ±√b² - 4ac / 2a
t = -b ± √(-15)² - 4(1)(-250) / 2 × 1
t = 15 ± √225 + 1000 / 2
t = 15 ± √ 1225 / 2
t = 15 ± 35 / 2
t = 15 - 35 / 2 or t = 15 + 35 / 2
t = -20 / 2 or 50 / 2
t = -10 or 25
The time can't be negative.
Therefore, the bird landed on the ground after 25 seconds.
learn more on parabola here: brainly.com/question/24631429?referrer=searchResults