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2 years ago

What is the velocity of a skateboarder whose momentum is 100kg-m/s and the mass is 15kg?

Mathematics

2 answers:

Jobisdone [24]2 years ago

6 0

Answer:

6.67 m/s

Step-by-step explanation:

Ray Of Light [21]2 years ago

6 0

Answer : The correct option is, (D) 6.67 m/s

Explanation : Given,

Momentum = 100 Kg m/s

Mass = 15 Kg

Momentum : It is defined a the product of mass and the velocity of an object.

Formula used :

where,

p = momentum

m = mass

v = velocity

Now put all the given values in the above formula, we get the velocity of a skateboarder.

Therefore, the velocity of a skateboarder is, 6.67 m/s

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What the next number...2 7 8 3 12 9

ANEK [815]

-(17/30)n^5+(113/12)n^4-(173/3)n^3+ (1915/12) n^2- ( 5813/30)n +85

there fore term number 7 is .... -146/1=-146

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2 years ago

A liquid at temperature 7575F is placed in an oven at temperature 450450. The temperature of the liquid increases at a rate 77 t

hichkok12 [17]

Answer: $\dfrac{dT(t)}{dt}=77\times (450-T)$

Step-by-step explanation:

Given

The temperature of the liquid is $75^{\circ}F$ placed in an oven with temperature of $450^{\circ}F$ .

Initially difference in temperature of the two

$\Delta T=450-75\\\Rightarrow \Delta T=375^{\circ}F$

According to the question

$\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]$

5 0

2 years ago

9. Determine how long it takes for 80% of the material to decay.

Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

$A(t) = A(0)e^{-kt}$

In which:

k is the decay rate, as a decimal.

A(0) is the initial amount.

The half-life is of 8 days, hence $A(8) = 0.5A(0)$ , and this is used to find k.

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-8k}$

$e^{-8k} = 0.5$

$\ln{e^{-8k}} = \ln{0.5}$

$-8k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{8}$

$k = 0.08664339757$

Hence:

$A(t) = A(0)e^{-0.08664339757t}$

The time it takes for 80% of the material to decay it t for which $A(t) = 0.2A(0)$ , hence:

$0.2A(0) = A(0)e^{-0.08664339757t}$

$e^{-0.08664339757t} = 0.2$

$\ln{e^{-0.08664339757t}} = \ln{0.2}$

$-0.08664339757t = \ln{0.2}$

$t = -\frac{\ln{0.2}}{0.08664339757}$

$t = 18.6$

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

5 0

2 years ago

The price of an item has been reduced by 30%. The original price was $20. What is the price of the item now?

Ludmilka [50]

Answer:

$14

Step-by-step explanation:

multiply .30 times 20 to get $6, subtract that from the orginal price which is $20

7 0

2 years ago

Read 2 more answers

Which of the following functions represents a cell phone bill if there is a monthly charge of 20 dollars plus 6 cents for each m

Ymorist [56]

First of all judging on how long I use my phone that's pretty expensive.Ok, let's get back on topic.Well, They should more likely ask us to pay about 20 cents per minute
YEAH!

Sincerely,
Jenna

5 0

2 years ago