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kotegsom [21]
3 years ago
8

9 more than a number is 58. write and solve an equation to determine the number (writing the equation is required)

Mathematics
1 answer:
Stels [109]3 years ago
5 0

58 - 9 = 49
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A projectile is launched from ground level with a initial velocity of Vo feet per second. Neglecting air resistance, its height
antiseptic1488 [7]
The height at t seconds after launch is
s(t) = - 16t² + V₀t
where V₀ = initial launch velocity.

Part a:
When s = 192 ft, and V₀ = 112 ft/s, then
-16t² + 112t = 192
16t² - 112t + 192 = 0
t² - 7t + 12 = 0
(t - 3)(t - 4) = 0
t = 3 s, or t = 4 s

The projectile reaches a height of  192 ft at 3 s on the way up, and at 4 s on the way down.

Part b:
When the projectile reaches the ground, s = 0.
Therefore
-16t² + 112t = 0
-16t(t - 7) = 0
t = 0 or t = 7 s

When t=0, the projectile is launched.
When t = 7 s, the projectile returns to the ground.

Answer: 7 s

4 0
3 years ago
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
IgorLugansk [536]

Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

This means that a = 10400, b = 15400

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

You will win if the competitor bids less than 12000. So

P(X \leq 12000) = \frac{12000 - 10400}{15400 - 10400} = 0.32

0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72

0.72 = 72% probability that your bid will be accepted

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

His bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

6 0
3 years ago
Math question for 30 points please answer correctly
joja [24]

Answer:

D. The rate of change for function B is greater than the rate of change for function A

Step-by-step explanation:

Function a has a slope (aka rate of change) of 3/3

I know this because we start at (-3, 0) then finish at (0, 3)

We added 3 to both the x value and the y value.

3/3 = 1, so we have a rate of change of 1 for function A

Now that we know this, we can write the equation out into slope intercept form.

We can get y = x + 3

The equation for function B is y = 5x + 5

The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A

4 0
3 years ago
3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 27
Vladimir [108]
People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x

y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

hope this is right! have a great. day
7 0
3 years ago
How to write 100203 in standard form
natima [27]
100203 = 1.00203 x 10^5
8 0
3 years ago
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