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photoshop1234 [79]
2 years ago
5

During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = -16

t^2 + 56t and h = -16t^2 + 156t - 248, where t is the time that has passed since the first ball was hit. Explain how to find the height at which the balls meet. Then find the height to the nearest tenth.
Mathematics
1 answer:
Schach [20]2 years ago
4 0

Answer:

2.5 seconds since the first ball was hit.

Step-by-step explanation:

The equations that model the heights are:

  • h = -16t² + 56t
  • h = -16t² + 156t - 248

When the balls meet, both heights are equal, therefore:

-16t² + 56t = -16t² + 156t - 248

-16t² + 56t + 16t² - 156t + 248 = 0

- 100t + 248 = 0

248 = 100t

248/100 = t

t = 2.48 ≈ 2.5

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Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. Her work is shown.
Y_Kistochka [10]
It is hard to say how Faelyn's work shows the polynomial is prime, but it is.

There are no factors of 6*4 = 24 that add to -5, so the polynomial cannot be factored using real numbers.
_____
The expression of suggestion 2 is a different polynomial than the one Faelyn is factoring.
Taking a factor of 2x out of the first group does not help it match the factoring of the second group.
Dividing one or the other of the groups by -1 will not make the binomials the same.
8 0
1 year ago
Read 2 more answers
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options. m = Sta
marishachu [46]

Answer:

1)  m = negative StartFraction 10 over 4 EndFraction

2) m = negative five-halves

3) m = -\frac{7}{4} - \frac{3}{4}

Step-by-step explanation:

<u>The given equation is:</u>

=> \frac{3}{4} +m = -\frac{7}{4}

Subtracting 3/4 to both sides

=> m = -\frac{7}{4} - \frac{3}{4}

=> m = \frac{-10}{4}

=> m = -\frac{5}{2}

5 0
1 year ago
Read 2 more answers
I need help ASAP!!!!!When bisecting an angle, three arcs are drawn. One is used to find points on the rays of the angle, and the
user100 [1]

Answer:

B

Step-by-step explanation:

The order does not matter. The intersection point will be the same regardless of the order the arcs are drawn in.

4 0
1 year ago
Uma urna contém 10 bolas identificadas pelas letras A, B, ..., J. Uma bola é extraída ao acaso da urna e sua letra é observada.
arlik [135]

Answer:

a) Probability that a letter of the drawn ball is vowel = (3/10) = 0.30

b) Probability that a letter of the drawn ball is consonant = (7/10) = 0.70

a) Probabilidade de uma letra da bola sacada ser vogal = (3/10) = 0.30

b) Probabilidade de uma letra da bola sacada ser consoante = (7/10) = 0,70

Step-by-step explanation:

English Translation

A ballot box contains 10 balls identified by the letters A, B, ..., J. A ball is drawn at random from the ballot box and its letter is observed. (Make the sample space and all events explicit). What is the probability that a letter of the drawn ball is: a) Vowel b) Consonant

Solution

The 10 balls are identified by A, B, C, D, E, F, G, H, I and J

Note that the probability of an event is given as the number of elements in that event divided by the number of elements in the sample space.

a) Probability of drawing a ball that has a vowel letter = P(v)

P(v) = n(v) ÷ n(S)

n(v) = Number of balls with vowel letters = 3 (that is, A, E and I)

n(S) = Total number of balls = 10

P(v) = (3/10) = 0.30

b) Probability of drawing a ball that has a consonant letter = P(c)

P(c) = n(c) ÷ n(S)

n(c) = Number of balls with consonant letters = 7 (that is, B, C, D, F, G, H and J)

n(S) = Total number of balls = 10

P(c) = (7/10) = 0.70

In Portugese/Em português

As 10 bolas são identificadas por A, B, C, D, E, F, G, H, I e J.

Observe que a probabilidade de um evento é fornecida como o número de elementos nesse evento dividido pelo número de elementos no espaço de amostra.

a) Probabilidade de desenhar uma bola com uma letra de vogal = P (v)

P (v) = n (v) ÷ n (S)

n (v) = Número de bolas com letras de vogal = 3 (ou seja, A, E e I)

n (S) = Número total de bolas = 10

P (v) = (3/10) = 0,30

b) Probabilidade de desenhar uma bola com uma letra consoante = P (c)

P (c) = n (c) ÷ n (S)

n (c) = Número de bolas com letras consoantes = 7 (ou seja, B, C, D, F, G, H e J)

n (S) = Número total de bolas = 10

P (c) = (7/10) = 0,70

Hope this Helps!!!!

Espero que isto ajude!!!!

3 0
1 year ago
A baker uses 13 1/2 cups of flour to make bread. She uses 2 1/4 cups of flour to make each loaf. The baker sells 2/3 of the loav
ollegr [7]

Answer:

She sells 4 loaves of bread

Step-by-step explanation:

Lets explain how to solve the problem

→ A baker uses 13\frac{1}{2} cups of flour to make bread

→ She uses 2\frac{1}{4} cups of flour to make each loaf

From these information we can find the number of loaves of bread

she can make

∵ There are 13\frac{1}{2} cups of flour

∵ Each loaf of bread needs 2\frac{1}{4} cups of flour

∴ The number of loaves = 13\frac{1}{2} ÷ 2\frac{1}{4}

To divide two mixed numbers make them improper fractions and

change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∵ 13\frac{1}{2} = \frac{(13)(2)+1}{2}

∴ 13\frac{1}{2} = \frac{27}{2}

∵ 2\frac{1}{4} = \frac{(2)(4)+1}{4}

∴ 2\frac{1}{4} = \frac{9}{4}

∴ The number of loaves = \frac{27}{2} × \frac{4}{9}

∴ The number of loaves = 6

<em>She can make 6 loaves</em>

→ The baker sells \frac{2}{3} of the loaves of bread that she makes

→ We need to find the number of loves of bread she sells

∵ She sells \frac{2}{3} of the loaves

∵ There are 6 loves

∴ The number of loaves she sells = 6 × \frac{2}{3} = 4

<em>She sells 4 loaves of bread</em>

7 0
1 year ago
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