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Kobotan [32]
3 years ago
11

A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is doubled. If the actual cont

act with the bat lasts 0.45 s, what is the ratio of the magnitude of the average acceleration of the ball to its original speed
Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:

6.7 /s.

Step-by-step explanation:

Initial velocity = u m/s

From the question, final velocity, v = - 2u m/s

Note - (the minus sign indicates that the direction was reversed and doubled)

t = 0.45

From equation of motion,

v = u + at

Acceleration, a = (v - u)/t

= (-2u - u)/0.45

= - 3u/0.45

Acceleration, a/Original speed, u = 3/0.45

= 6.7 /s

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Huilan's age is three times Thomas's age. The sum of their ages is 24. What Is Thomas's age?
mafiozo [28]

Step-by-step explanation:

8 because 24 ÷3=8 so yeah

6 0
2 years ago
. Orlando needs to fix windows in his house. He must buy 3 feets of wood,
ira [324]

Answer:(7x3)+(4x24)=117

Step-by-step explanation:

Since he needs 3 feet of wood and it is 7 dollar per foot, you need to multiply 7 by 3. Since he needs 4 pieces of glass and its 24 dollars per glass multiply 4 by 24. Add the products. Ur done!

4 0
2 years ago
Read 2 more answers
Picasso's Phone Shop charges $65.54 for its activation fee plus $13.10 for every gigabyte, g, of data you use over your limit. T
konstantin123 [22]

Answer:

$13.10 represents the rate of change

Step-by-step explanation:

13.1 is the only value in the equation with a variable (g). There is an additional $13.10 charge for every gigabyte used over the limit, and this is the rate of change.

For example, if 5 gigabytes were used over the limit, the charge would be 13.1(5) or $65.50

6 0
1 year ago
2. El perimetro de un rectangulo es 64 pies. Su largo es 12 pies mas que 3 veces su ancho. Halla las dimensiones del rectangulo
Afina-wow [57]
Ancho= x
Largo= 3x+12 ("12 pies más (adición) que 3 veces (multiplicación) su ancho (x)")

<span>En el problema incluyen el perímetro (la suma de todos los lados de una figura). </span>En un rectángulo, los lados opuestos son congruentes, así que para calcular el valor de x, tenemos que sumar nuestras ecuaciones.

(3x+12)+(3x+12)+x+x=64
8x=64-24
x=40/8
x=5

Luego lo único que queda hacer es substituir el valor de x en cada ecuación para calcular los valores que te piden.



4 0
2 years ago
The annual tuition at a specific college was $20,500 in 2000, and $45,4120
nika2105 [10]

Answer: the tuition in 2020 is $502300

Step-by-step explanation:

The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = $20500

The fee in 2018 is the 19th term of the sequence. Therefore,

T19 = $45,4120

n = 19

Therefore,

454120 = 20500 + (19 - 1) d

454120 - 20500 = 19d

18d = 433620

d = 24090

Therefore, an

equation that can be used to find the tuition y for x years after 2000 is

y = 20500 + 24090(x - 1)

Therefore, at 2020,

n = 21

y = 20500 + 24090(21 - 1)

y = 20500 + 481800

y = $502300

6 0
3 years ago
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