Which equation would best help solve the following problem?Rita hits a tennis ball with an initial velocity of 15 meters/sec. When she hits the ball, it is one meter above the ground. How long will it take for the ball to hit the ground?
Question 1 options:

–16t^2+ 15t + 1 = 0

–4.9t^2 + 15t = 1

–4.9t^2 + 15t + 1 = 0

4.9t^2 + 15t + 1 = 0

Answers

Answer 1

Answer: Your answer is –4.9t^2 + 15t + 1 = 0

Hope this helps.

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If 3x - 4 = 14, then ________. 1) x = 6 2) x = 4 3) x = 10 4) x = 8

Answers

Answer:

x=6

Step-by-step explanation:

3x=14+4

x=18/3

i.e x = 6

Marilyn has 10 caramels, 12 mints, and 14 bars of dark chocolate in a bag. She picks three items from the bag without replacement.The exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate is -------?

Answers

Answer:

The exact probability = 0.0431

Step-by-step explanation:

Given: A bag contain - Caramels= 12, mints= 12, bars of dark chocolates= 14

Marilyn picks three items from the bag without replacement.

Total number of items 12+12+14=36

Now, probability = favorable outcome / total no. of outcomes

Probability of picking a mint = $(12)/(36)=(1)/(3)$

After picking a mint there are :

caramels=10, mints=11, bars of chocolate=14

Total items in the bag=35

Probability of picking another mint = $(11)/(35)$

now, caramels=10, mints=10, bars of chocolate=14

Total items in the bag=34

Probability of picking a bar of dark chocolate = $(14)/(34)=(7)/(17)$

The exact probability of picking the items:

$=(1)/(3)*(11)/(35)*(7)/(17)$

$=(77)/(1785)$

$=0.0431$

Therefore, the exact probability = 0.0431

10+12+14 = 36

12/36 x 11/35 x 14/34 = 11/255

There's your answer.

The length of a rectangle it twice it's within. If the perimeter of the rectangle is 30 cm, find its area.

Answers

w - width

2w - length (l)

30 cm - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 30 divide both sides by 6

w = 5 cm

2w = 2(5) = 10

l = 10 cm

The area of a rectangle: A = lw.

Substitute:

A = (5)(10) = 50

Answer: The area is 50cm²

How do u find the reciprocal of 5/11?

Answers

The reciprocal is just flipping the fraction, so it's 11/5

Just switch the numerator and the denominator around. 11/5

For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.A. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, yes

B. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, yes

C. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, no

D. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, no

Answers

To condition in which we can justify if the forces are pulling at right angles to each other is that the sum of the squares of the two lesser number should be equal to the square of the third number.

For the first set: 12 lb, 13lb, 19lb.

12^2 + 13^2 ≠ 19^2

For the second set: 15 lb, 36 lb, 39 lb

15^2 + 36^2 = 39^2

The first pair of forces do not pull at a right angle while the second do.
Thus, the answer is letter B.

For each quadratic function, find the domain range vertex and axis of symmetry y=(x-1) squared +1

Answers

$y=(x-1)^2 +1 \n \n For \ the \ quadratic \ function \n \n f(x) =a(x-h)^2+k \n \n where \ a, \ h \ and \ k \ are \ real \ numbers \ with \ a \neq 0 , \n \n the \ vertex \ is \ (h,k) =(1,1) \n \n a \ symmetry \ about \ the \ vertical \ line \ x = h \n \n x= 1$

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