In any collision, an object experiences a force for a given amount of time that results in its mass undergoing a change in velocity. There are four quantities mentioned here: force, time, mass, and change in velocity. The force multiplied by the time (FX t) is known as the impulse and the mass multiplied by the velocity change (m X AV) is known as the change in momentum. The impulse experienced by an object is always equal to the change in its momentum. As a result: FXt = m X AV Mass does not change. Velocity decreases during a collision. Automobile manufacturers, such as Nissan and Toyota, incorporate safety features into their vehicles. Crumple zones in the engine compartment and air bags are two examples of safety technology designed to protect driver and passengers involved in a collision. How do these design features impact the formula above and the force of impact? They decrease the force of impact by providing a cushion during the impact.​

Step-by-step explanation:

according to the drawing:

the first domain : -1≤ x ≤ 0

the second domain : 0< x < oo

the total domain : [-1, oo)

the first range : 0 ≤ y ≤ 1

the second range : -1< y < oo

the total range : [0, oo)

so, the correct answer is

a. Domain: [-1, oo) Range : [0, oo)

Domain:-

Here

This is a piecewise function

So domain is

Range:-

Here thats

Answer:

-x^4 + 6x^3 + 7x^2 -4x -4      

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

1/4 x 160 / 100

Answer:40 if im right

Step-by-step explanation:

When i do it i ush do it in ÷ so 160 ÷ 1/4th

Answer:

9×3

and

-26

Step-by-step explanation:

9×3=27

27+-26

Answer:

Step-by-step explanation:

T = (m + b)x

Divide both side by (m + b):

[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]

Cancel out (m + b) and you have your answer!

Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)

Answer:

B. 0.210

Step-by-step explanation:

Range is the minimum value subtracted from the maximum value. In this case 0.004 is the smallest value and 0.214 is the largest.

Range = 0.214 - 0.004 = 0.210 = B

The range set of the given data is 0.21.

The given data sets are,

0.004

0.007

0.011

0.011

0.012

0.020

0.200

0.214

We know that,

In statistics, the range is the difference between the highest and lowest values for a given data collection.

For instance,

if the given data set is 2,5,8,10,3, the range is 10 - 2 = 8.

As a result, the range can also be defined as the difference between the highest and lowest observations.

The range of observation is the name given to the outcome. In statistics, the range indicates the dispersion of observations.

Now to find the range set pf the given data,

Subtract minimum value to maximum value

Since maximum value = 0.214

And minimum value     = 0.004

Then range set = 0.214 - 0.004

                          =  0.21

Thus, range of set  ⇒ 0.21

To learn more about statistics visit:

https://brainly.com/question/30765535

#SPJ2

Answer:

There are no factor that you can find that when two factors are multiply together your get a product of -20 and when you add then you get -12

Step-by-step explanation:

Answer:

f(0) = -2.

Step-by-step explanation:

This question pertains to the y-intercept. By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates, (0, b). It is also the value of y when x = 0.  Looking at the graph, the point where the line crosses the y-axis is (0, -2). The y-coordinate is the y-intercept, b.

Therefore, the value of the function when x = 0 is: f(0) = -2.

Answer:

[tex]\frac{1}{x^{12} }[/tex]

Step-by-step explanation:

Given [tex](\frac{x}{x^{-5}})^{-2}[/tex]

The Negative Exponent Rule states that, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]

Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1:  [tex]\frac{1}{(\frac{x}{x^{-5}})^{2}}[/tex]

Then, you'll have to work on the denominator:

[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}[/tex]  

Next, you'll have to work on the divisor of x² (in the denominator), [tex](x^{-5})^{2}[/tex] by using the Power-to-Power Rule of Exponents: [tex](a^{m})^{n} = a^{mn}[/tex], which results in:

[tex](x^{-5})^{2} = x^{-10}[/tex]

Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.

[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}[/tex]    

At this point, you could apply the Fraction rule onto the denominator: [tex]\frac{a}{\frac{b}{c}} = \frac{a*c}{b}[/tex]

So the denominator now becomes:

[tex]\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }[/tex]

Finally, you could apply the Product Rule of Exponents, [tex]a^{m}a^{n} = a^{m + n }[/tex] onto the denominator:

   [tex]\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }[/tex]

Therefore, the correct answer is: [tex]\frac{1}{x^{12} }[/tex]

9514 1404 393

Answer:

  No

Step-by-step explanation:

A horizontal line can be drawn that intersects the graph in more than one place. That means the graph fails the "horizontal line test" and does not have an inverse function.

(The horizontal line shown intersects in 3 places.)

Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.

Step-by-step explanation: Hope this help. hit me up if u need some more help

Answer:

1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48

2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24

3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12

4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36

5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27

Step-by-step explanation:

The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.

For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.

Hopes this helps you!

Answer: 5/8 as a decimal is expressed as 0.625.

Hope it helps!

Answer:

21 and 13

Step-by-step explanation:

then go and swimand enjoy your holiday

9514 1404 393

Answer:

  b.  60

Step-by-step explanation:

The list of factors is 2, 3, 5, 7. The list of common factors is 2, 3, 5. The lowest exponents on those factor are ...

  2^2 × 3^1 × 5^1 = 60

The GCF of 720 and 2100 is 60.

_____

Additional comment

You can verify this using Euclid's method of finding the GCF.

  2100/720 = 2 r 660

  720/660 = 1 r 60

  660/60 = 11 r 0 . . . . 60 is the GCF

Find the remainder from the division. If it is zero, the divisor is the GCF. If it is non-zero, replace the largest number with the remainder, and repeat.

Answer:

C

Step-by-step explanation:

4^3 x 4^5 =4^8

You add the exponents together because they have the same base and it's multiplication sum.

Patrick's net income will be equal to $1178.41.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Patrick's gross earnings for the week are $1592.45. His deductions comprise 26% of his total compensation.

Patrick's net income will be calculated as below:-

26% of $1592.45 = 1592.45 x ( 26 / 100 ) = 414.037

Subtract the deduction from the gross amount:-

Net income = 1592.45 - 414.037 = $1178.41

Therefore, Patrick's net income will be equal to $1178.41.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

We have that, how long it will take for Liu to catch Mariel is mathematically given as

t=3.076s

From the question we are told

Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?

Generally the equation for the Average speed is  mathematically given as

[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]

Therefore

How long it will take for Liu to catch Mariel is mathematically given as

[tex]t=\frac{20}{6.5}[/tex]

t=3.076s

For more information on this visit

https://brainly.com/question/23379286

Answer:

every number that is less than -1

Step-by-step explanation:

Answer:

Total expenses: $34,520

Money needed for profit: $34521

Is this a good idea: Not unless he is prepared for it to go under...

Step-by-step explanation:

Answer:

470

Step-by-step explanation:

x is the amount that represents 100 %

517 amount that represents 100%+10% increase = 110%

x = (517 *100) / 110 = 470 is the original amount

Answer:

just get the cube root of 614

Answer:A 3%

Step-by-step explanation:

Answer:

0.571428571

Step-by-step explanation:

Simply go into a calculator app and say 56/98

Answer:

-4p-16

Step-by-step explanation: