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.​

Answer:

9 3/5

Step-by-step explanation:

When we see a percentage, we know that the base is 100. In other words, 960% is equal to 960/100

With this, its just a matter of transforming the improper fraction to a mixed number.

100 fits 9 times in 960 so there will be 9 wholes

the remaining 60/100 can be simplified to 3/5 through this process:

60/100 = 6/10 = 3/5

Answer:

9 3/5

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

960% = 960/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 960 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(960,100) = 20. So,

(960÷20)/(100÷20) = 48/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 960/100 is also equal to 9 3/5 when expressed as a mixed number.

Answer:

x = i, ~1.41i

Step-by-step explanation:

Assuming "integer coefficients" allows imaginary numbers:

(x^2 + 1)(x^2 + 2)

x^2 = -1 = i

x^2 = -2 = ~1.41i

Answer:

6. 9^2+4x-1

7. 7x - 3 cm

8. -6x^2+3x-4

9. 4x+10y+4z

10 13x^2 - 2x

11. -5x^2 - 8x - 16

Step-by-step explanation:

6. (13x^2+x-3)-(4x2-3x-2) = 9x2+4x-1

7. x +4+2x+1+4x-8

= 7x-3 cm

8. (-8x^2 + 8x + 1) + (14x^2-11x+3)

10. (8x^2+x)-(-5x^2+3x)

11. (-x^2-6x+5) - (4x^2+2x+11)

Answer:

3 feet 6 inches

Step-by-step explanation:

If we add those inches together, we get 42 inches. Turn that to feet (12 in in a foot) and we get 3.5 feet, or 3 feet and 6 inches.

The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.

Perimeter is the addition of an external measure of sides it will always positive.

A perimeter is a length and has a degree of the unit as one.

For example

Perimeter of square = side + side + side + side

The perimeter of the circle = πd where d is the dia of the circle.

Given a triangle with sides a,b and c

The perimeter of triangle is = a + b+ c

So,

The perimeter of the triangle is the sum of all sides.

Hence The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.

To learn more about Perimeter,

https://brainly.com/question/6465134

#SPJ2

The answer us c I took that test too

Step-by-step explanation:

C

Answer:

y= 15/x

Step-by-step explanation:

Answer:

y = - 4.98

Step-by-step explanation: This statement means

y

∝

x

, which can also be written in the form

y

=

k

x

when it is directly proportionate and

y

=

k

x

when inversely proportionate, where

k

is a value we need to work out. Since the equation is in the form

y

=

k

x

we know that...

21

=

K

×

7

∴

k

=

21

7

=

3

.

So we can write this as the formula:

y

=

3

x

Therefore using the value of

x

=

−

1.66

y

=

3

x

→

y

=

3

×

−

1.66

=

−

4.98

Answer:

f(-3)= 10(-3)^2 - 5(-3) - 3

       =90 + 15 -3

f(-3) = 102

Step-by-step explanation:

Answer: C i thinkg i could be rong but thats my answer i didnt use a claculater so not sure

Step-by-step explanation:

9514 1404 393

Answer:

  4y

Step-by-step explanation:

There are an infinite number of equivalent expressions. One of them can be obtained by combining the terms

  y -(-3y) = y +3y = y(1 +3) = 4y

__

All of the expressions shown as equal are equivalent.

Answer:

669

Step-by-step explanation:

Answer:

y=-2.5x-6 is the answer

Answer:

Step-by-step explanation:

Answer:BStep-by-step explanation:B cost less money bet has the same

As we know,

[tex] \boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}[/tex]

now, let's plug the given values to find a² + b²

Answer:

30

Step-by-step explanation:

6x5

The original price of the jersey is $ 30

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Let the original price of the jersey be = $ x

The percentage discount on the original price = 20 %

The difference between the original price and the discounted price = $ 6

So ,

By the percentage equation ,

Percentage discount on the original price = difference between the original price and the discounted price

And ,

( 20 / 100 ) of original price = $ 6

On simplifying the equation , we get

( 20/100 ) x = 6

( 1/5 ) x = 6

Multiply by 5 on both sides , we get

x = 5 x 6

x = $ 30

So , the original price of the jersey is $ 30 and the discounted price is $ 24

Hence , the original price of the jersey is $ 30

To learn more about equations click :
https://brainly.com/question/12861068

#SPJ2

Answer:

d=−19831.299231

Step-by-step explanation:

Answer:

3.0 seconds

Step-by-step explanation:

i took the test.

The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.

We have,

We are given the equation for the height of the rock as it travels upward and then downward:

h = -1672 + 63.2t - 4.9t²

We want to find the time it takes for the rock to reach a height of 50 feet on its way down.

This means we need to solve for t when h = 50:

50 = -1672 + 63.2t - 4.9t²

Rearrange the equation to isolate the quadratic term:

4.9t² - 63.2t + (1672 + 50) = 0

4.9t² - 63.2t + 1722 = 0

For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:

x = (-b ± √(b² - 4ac)) / 2a

In your equation, the coefficients are:

a = 4.9

b = -63.2

c = 1722

Plugging these values into the quadratic formula:

t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)

Now, let's calculate the discriminant (the value inside the square root):

Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36

Since the discriminant is positive, there are two distinct real solutions for "t".

Now, plug the discriminant back into the quadratic formula and solve for "t":

t = (63.2 ± √6355.36) / 9.8

Now, calculate the square root of the discriminant:

√6355.36 ≈ 79.58

Now, plug in the values for "t":

t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02

t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69

So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:

t₁ ≈ 14.61

t₂ ≈ -1.69 (rejected)

Thus,

The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ3

Answer:

The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%

9514 1404 393

Answer:

  3 < x < 6

Step-by-step explanation:

Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.

  P = 2(L +W)

  P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify

The perimeter wants to be between 38 and 74 cm, so we have ...

  38 < 12x +2 < 74

  36 < 12x < 72 . . . . . subtract 2

  3 < x < 6 . . . . . . . . . divide by 6

_____

Additional comment

Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.

Here, our first step was to subtract 2 from all parts of the inequality:

  38 -2 < 12x +2 -2 < 74 -2   ⇒   36 < 12x < 72

The division by 12 worked the same way: all parts are divided by 12.

  36/12 < (12x)/12 < 72/12   ⇒   3 < x < 6

__

If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.

Answer:

$525

Step-by-step explanation:

To find the commision of the salesman, multiply the (commission rate over 100) by the sale amount.

Commission rate: 5%, so 5/100 = 0.05

then, 0.05*10500 = $525

Answer:

creo que la respuesta es 3,333.33 mph

Step-by-stepStep-by-step explanation:

Answer:

10 yd, because you subtract 15 to 5.

Answer:

1.947

Step-by-step explanation:

if you write down the equation you will get this answer and see it is not respecting meaning it does not go on it has a different pattern

Step-by-step explanation:

an equation is a function, if it delivers for every possible input value x exactly one result value y.

b(x) = y = x² + 3

y - 3 = x²

x = sqrt(y -3)

our formally correct

y = sqrt(x - 3)

that is actually NOT a function, as a square root delivers for most x values 2 y values : a positive and a negative value.

d(x) = -9

that means for every possible value of x the result is -9.

reversing this means that the input value of -9 has infinitely many possible results

that is NOT a function.

m(x) = y = -7x

x = -y/7

or formally correct

y = -x/7

that is a normal function. every possible value of x leads to exactly one value of y.

p(x) = y = 1x¹ = x

y = x is its own inverse function.

and this is, of course, a function. every possible value of x leads to exactly one value of y.

[tex]\\ \sf\longmapsto \dfrac{w^2x-3}{10z}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(-9)^2(2.7)-3}{10(-2/5)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{81(2.7)-3}{-2(2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{218.7-3}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{215.7}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{216}{-4}[/tex]

[tex]\\ \sf\longmapsto -44[/tex]

Step-by-step explanation:

(-9)^2(2.7)-3/10(-2/5

= 81(2.7)-3/-2(2)

= 218.7-3/-4

= 215.7/-4

= -44

Answer:

the two words that means addition are

plus, sum and calculation..............

The area of the given figure that is mentioned is 64.

A square has congruent angles on each side. The square's area is thus equal to its square divided by its side length.

Let a represent the square's side length. The area of the square will be calculated as:

Area of the square = a² square units

The side provided is 8 ft

The area will be

= a²

= 8²

=64

More about the area of the square here,

https://brainly.com/question/1658516

#SPJ1

The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

It is given that:

The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:

p(x) = 2,400(1.025)×

Plug x = 3 years in the above function.

P(3) = 2400(1.025)³

P(3) = 2400x1.0768

P(3) = 2584.53 ≈ 2584 people

Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

Answer:

C 52x3

Step-by-step explanation:

Answer:

Answer btw is 1/4 ;)

Step-by-step explanation:

First step in dividing fractions is to flip the second fraction, aka find the inverse.

[tex]\frac{1}{3}/\frac{4}{3} \\\frac{1}{3}*\frac{3}{4}[/tex]

All you have to do from here is multiply.

[tex]\frac{3}{12}=\frac{1}{4}[/tex]

Boom.