How much force is required to accelerate a 4 kg mass at 6 m/s2

Grandma is knitting a blue scarf. She has knitted 10 inches of the scarf and has 38 inches left to finish it. How long will the

alexgriva [62]

Answer:

48 inches

Step-by-step explanation:

38+10=48

48 inches

8 0

3 years ago

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

Irina18 [472]

Answer:

Step-by-step explanation:

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08 = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

5 0

3 years ago

What is the order of the math operations with parentheses ???? and without parentheses ????

love history [14]

Parentheses- parentheses first (in order left to right if there's multiple)
Without- PEMDAS

3 0

4 years ago

Read 2 more answers

During the 2004 senatorial campaign in a large southwestern state, illegal immigration was a major issue. One of the candidates

Alex_Xolod [135]

Answer:

a

The population of interest is the registered voters , this is because it is the population from which the sample size is selected from.

b

The population is the registered voters of the large southwestern state

c

Well this does not adequately represent the population because this sample where selected from only the registered voters of the large southwestern state and not the whole country

d

Yes the result will be nearly the same because

Both samples are selected from the same population
The size of the sample selected is sufficiently large to approximate the population

Step-by-step explanation:

From the question we are told that

The sample size is n = 5,500

Considering question a

What is the population of interest

The population of interest is the registered voters , this is because it is the population from which the sample size is selected from.

Considering question b

What is the population from which the sample was selected

The population is the registered voters of the large southwestern state

Considering question c

Does the sample adequately represent the population

Well this does not adequately represent the population because this sample where selected from only the registered voters of the large southwestern state and not the whole country

Considering question d

Yes the result will be nearly the same because

Both samples are selected from the same population
The size of the sample selected is sufficiently large to approximate the population

6 0

3 years ago

A rocket is shot straight up into the air with an initial velocity of 500 ft per second and from a height of 20 feet above the g

iragen [17]

The height of the rocket above the ground after $t$ seconds is given by the equation : $H= -16t^2+Vt+h$ , where $V$ is the initial velocity and $h$ is the initial height.

Given that, $V= 500 ft/second$ and $h= 20 ft$

So, the equation will become: $H= -16t^2 +500t+20$

A) For finding the height of the rocket 3 seconds after the launch, we will plug $t=3$ into the above equation. So....

$H= -16(3)^2+500(3)+20\\ \\ H= -16(9)+1500+20\\ \\ H= -144+1500+20=1376$

So, the height of the rocket 3 seconds after the launch is 1376 feet.

B) When the rocket at a height of 400 feet, then we will plug $H= 400$

$400=-16t^2+500t+20\\ \\ 16t^2-500t-20+400=0\\ \\ 16t^2-500t+380=0\\ \\ 4(4t^2-125t+95)=0\\ \\ 4t^2-125t+95=0$

Using quadratic formula, we will get......

$t= \frac{-(-125)+/-\sqrt{(-125)^2-4(4)(95)}}{2(4)}\\ \\ t= \frac{125+/-\sqrt{14105}}{8}\\ \\ t= 30.4705... \\ and \\ t= 0.7794...$

So, after 0.7794...seconds and 30.4705...seconds the rocket is at a height of 400 feet above the ground.

C) The time duration that the rocket remains in the air means we need to find the time taken by the rocket to reach the ground. When it reaches the ground, then $H=0$ . So.....

$0=-16t^2+500t+20\\ \\ -4(4t^2-125t-5)=0\\ \\ 4t^2-125t-5=0$

Using quadratic formula, we will get.....

$t= \frac{-(-125)+/-\sqrt{(-125)^2-4(4)(-5)}}{2(4)}\\ \\ t= \frac{125+/-\sqrt{15705}}{8}\\ \\ t=31.2899...\\ and\\ t= -0.0399...$

(Negative value is ignored as time can't be in negative)

So, the rocket will remain in the air for 31.2899... seconds.

5 0

4 years ago