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3 years ago

A bowling ball travels at 2.0 m/s. it has 16j of kinetic energy. What is the mass of the bowling ball in kilograms?

1 answer:

6 0

$v=2\ m/s\\\\E_k=16\ J=16\ \frac{kgm^2}{s^2}\\\\E_k=\frac{mv^2}{2}\\\\\frac{m\cdot(2\ m/s)^2}{2}=16\ \frac{kgm^2}{s^2}\\\\\frac{m\cdot4\ m^2/s^2}{2}=16\ \frac{kgm^2}{s^2}\\\\2m\ m^2/s^2=16\ \frac{kgm^2}{s^2}\ \ /:2\ m^2/s^2\\\\m=8\ kg-answer$

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On a recent car trip, Raymond drove x miles on day one. On day two, he drove 170 miles more than he did on day one. How many mil

Hunter-Best [27]

Answer:

2x+170 miles

Step-by-step explanation:

Day 1: x miles

Day 2: x + 170 miles

Add both

x + x + 170

= 2x + 170

4 0

3 years ago

Read 2 more answers

Errors in an experimental transmission channel are found when thetransmission is checked by a certifier that detects missing pul

Ivahew [28]

Answer:

a) $P(X \leq 4)$

And we can find this using the cumulative distribution function:

$P(X \leq 4) = F(4) = 0.9$

b) $P(X > 7)$

And we can find this using the cumulative distribution function and the complement rule on this way:

$P(X >7) =1-P(X\leq 7)= 1- F(7) = 1-1 = 0$

c) $P(X \leq 5)$

And we can find this using the cumulative distribution function:

$P(X \leq 5) = F(5) = 0.9$

d) $P(X > 4)$

And we can find this using the cumulative distribution function and the complement rule on this way:

$P(X >4) =1-P(X\leq 4)= 1- F(4) = 1-0.9 = 0.1$

e) $P(X \leq 2)$

And we can find this using the cumulative distribution function:

$P(X \leq 2) = F(2) = 0.7$

Step-by-step explanation:

For this case we have the following cumulative distribution function:

$F(x) = 0 , x$

$F(x) = 0.7, 1 \leq x$

$F(x) = 0.9, 4 \leq x$

$F(x) = 1, x \geq 7$

Part a

We want this probability:

$P(X \leq 4)$

And we can find this using the cumulative distribution function:

$P(X \leq 4) = F(4) = 0.9$

Part b

We want this probability:

$P(X > 7)$

And we can find this using the cumulative distribution function and the complement rule on this way:

$P(X >7) =1-P(X\leq 7)= 1- F(7) = 1-1 = 0$

Part c

We want this probability:

$P(X \leq 5)$

And we can find this using the cumulative distribution function:

$P(X \leq 5) = F(5) = 0.9$

Part d

We want this probability:

$P(X > 4)$

And we can find this using the cumulative distribution function and the complement rule on this way:

$P(X >4) =1-P(X\leq 4)= 1- F(4) = 1-0.9 = 0.1$

Part e

We want this probability:

$P(X \leq 2)$

And we can find this using the cumulative distribution function:

$P(X \leq 2) = F(2) = 0.7$

7 0

3 years ago

A billboard is 2.5 times as long as it is wide.The area of the billboard is 2,250 ft.A scale drawing is made of the billboard,an

GaryK [48]

Width = w
Length = 2.5w

Area of Rectangle: Width × Length
w (2.5w) = 2250
2.5w^2 = 2250
w^2 = 2250/2.5 = 900
w = Sq rt of 900 = 30
l = 75

Ratio of inches to ft
x/30 = 160/2250
cross multiply: 2250x = 160 × 30
2250x = 4800
x = 4800/2250 = 2.13333...

length
x/75=160/2250
2250x = 75(160)
2250x = 12,000
x= 12,000/2250
x = 5.3333...

scale is 2.13" × 5.33"

3 0

4 years ago

Read 2 more answers

(Quick plz!!)

shtirl [24]

Answer:

the answer is d

Step-by-step explanation:

I just took the test

4 0

3 years ago

Kimberly and Mike have an equal amount of money. After Kimberly spent $50 and Mike spent $25, Mike's money is 50% more than Kimb

Paul [167]

Answer:

Kimberly and Mike had at first $100 each

Step-by-step explanation:

Assume that Kimberly and Mike each have $x

∵ Kimberly has $x

∵ Kimberly spent $50

- Find the reminder with Kimberly by subtracting 50 from x

∴ The money left with Kimberly = x - 50

∵ Mike has $x

∵ Mike spent $25

- Find the reminder with Mike by subtracting 25 from x

∴ The money left with Mike = x - 25

∵ Mike's money is 50% more than Kimberly's money

- That means Mike's money is more than Kimberly's money by

50% of Kimberly's money

∴ x - 25 = (x - 50) + 50%(x - 50)

∵ 50% = $\frac{50}{100}$ = 0.5

∴ x - 25 = (x - 50) + 0.5(x - 50)

- Simplify the right hand side

∴ x - 25 = x - 50 + 0.5x - 25

- Add the like terms in the right hand side

∴ x - 25 = 1.5x - 75

- Add 75 to both sides

∴ x + 50 = 1.5x

- Subtract x from both sides

∴ 50 = 0.5x

- Divide both sides by 0.5

∴ 100 = x

∵ x represents the amount of money that Kimberly and

Mike each had at first

∴ Kimberly and Mike had at first $100 each

7 0

3 years ago