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klemol [59]
3 years ago
12

PLZ HURRY IT'S URGENT!!! 20 POINTS!!

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer:

4 she sold 6 cars

Step-by-step explanation:

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A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equ
Ierofanga [76]

Answer:

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Step-by-step explanation:

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

= -16(t² - 6t)

= -16(t² - 6t + 9) - (-16) * 9

= -16(t - 3)² + 144

Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

6 0
3 years ago
James usually drinks 38 ounces of water per day. He read that he should drink 64 ounces of water per day. If he starts drinking
vova2212 [387]
Answer at very bottom of picture above

if explanation need comment

7 0
3 years ago
-8(1 + 5b) – 2(86 – 1) = 50
kati45 [8]

Answer:

b = -57/10

Step-by-step explanation:

Let's first distribute everything out:

-8(1 + 5b) = -8 * 1 + (-8) * 5b = -8 - 40b

2(86 - 1) = 2 * 85 = 170

So, we have:

-8 - 40b - 170 = 50

-40b - 178 = 50

-40b = 50 + 178 = 228

b = -228/40 = -57/10

Thus, the answer is b = -57/10.

Hope this helps!

3 0
4 years ago
Determine which lines are parallel and which are not parallel. Explain your reasoning.
NeX [460]

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

6 0
2 years ago
Two fair dice are rolled 3 times and the sum of the numbers that come up is recorded. Find the probability of these events. a. T
alexandr402 [8]

Answer:

Step-by-step explanation:

Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.

a) The sum is 4 on each of the three rolls.

(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12

Prob for getting same sum 4 in 3 rolls = (\frac{1}{12} )^3

(since each trial is independent)

b) Prob sum =4 in exactly 2 rolls

= 3C2 (1/12)^2 (11/12)=\frac{33}{12^3}

5 0
3 years ago
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