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Delicious77 [7]
3 years ago
9

a ball is thrown straight up from the top of a 128 foot tall building with an initial speed of 32 feet per second. the height of

the ball as a function of time can be modeled by the function h(t)=-16t+32t+128 how ling will it take for the ball to hit thr ground?

Mathematics
1 answer:
STatiana [176]3 years ago
6 0
Factoring, you have
  h(t) = -16(t^2 -2 -8) = -16(t -4)(t +2)

The ball hits the ground when h(t) = 0, so
  0 = -16(t -4)(t +2)
  t = 4 or -2

The positive solution is the one of interest.
  It will take 4 seconds for the ball to hit the ground.

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A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. wha
Charra [1.4K]
To determine the probability that exactly two of the five marbles are blue, we will use the rule of multiplication. 

Let event A = the event that the first marble drawn is blue; and let B = the event that the second marble drawn is blue. 
To start, it is given that there are 50 marbles, 20 of them are blue.  Therefore, P(A) = 20/50
After the first selection, there are 49 marbles left, 19 of them are blue. Therefore, P(A|B) = 19/49
Based on the rule of multiplication:P(A ∩ B) = P(A)*P(A|B)P(A ∩ B) =  (20/50) (19/49)P(A ∩ B) = 380/2450P(A ∩ B) = 38/245 or 15.51%

The probability that there will be two blue marbles among the five drawn marbles is 38/245 or 15.51%

We got the 15.51% by dividing 38 by 245. The quotient will be 0.1551. We then multiplied it by 100% resulting to 15.51%
7 0
3 years ago
The probability of an event occurring is 0.08.
vova2212 [387]

Answer:

0.92

Step-by-step explanation:

always equals 1.0

1.0 - 0.08 = 0.92

7 0
3 years ago
A bakery made 25 dozen cookies.They sold 48 of the cookies how many are left?
andriy [413]

Answer:

I believe it is 252 correct me if I'm wrong

4 0
2 years ago
Read 2 more answers
Determine the area of the figure shown. Note that each square unit is one unite in length
liq [111]

Answer:

74 units squared

Step-by-step explanation:

we know that the area of a square or rectangle is A = L × w

so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.

so I'll start with the middle square its length is 8 and width is 8 too.

A = 8 × 8

A = 64

now we'll move on to the other small ones to the side.

the one on the right side it's length is 2 and width is 2.

A = 2 × 2

A = 4

and then the last one on the left, Length is 3, width is 2.

A = 2 × 3

A = 6

now we'll add up all of the areas to get the total area.

Total = 64 + 4 + 6

Total = 74 units squared

6 0
3 years ago
1. Write a two-column proof.
Alexandra [31]

Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement                     Reason

\overline{AB} \cong \overline{AC}\\                     Given

\widehat{ACB} \:bisects\: \overline{AB}        Isosceles Triangle the altitude, the bisector coincide.          

\overline{AD} \cong \overline{DB}               Bisector equally divide a line segment into two congruent      

m\angle CDA =m \angle CBD=90^{\circ} Right angles, perpendicular lines.                  

\overline{CD}\perp \overline{AB}                    Perpendicular Line segment      

8 0
3 years ago
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