Use the distributive property to solve: 5(x – 2)

Step-by-step explanation:

❁ [tex] \underline{ \underline{ \text{Given} }}: [/tex]

❁ [tex] \underline{ \underline{ \text{ \: To \: find}}}: [/tex]

✑ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \underline{ \sf{Momentum \: = \: mass \: \times \: velocity}}}[/tex]

plug the known values :

⟹ [tex] \sf{Momentum = 4.0 \: kg \: \times \: 2.0 \:m/s } [/tex]

⟹ [tex] \sf{Momentum = 8 \: kg \: m/s}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : \bold{ \underline{8} }\: kg*m/s}}}}[/tex]

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✑ [tex] \underline{ \underline{ \text{Learn \: more about \: momentum}}}: [/tex]

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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Answer:

119000000+3

0.119000003*10^9

Answer:

s

if sin x= 1/2, cos x= root 3/2,

x = 30 degrees

Answer:

x = 20° and y = 12°

Step-by-step explanation:

3y + 15° = 5y - 9° ( being opposite angles of parallelogram)

5y - 3y = 15° + 9°

2y = 24°

y = 24° / 2

y = 12°

Now

5x + 29° = 7x - 11° ( being opposite angles of parallelogram)

7x - 5x = 29° + 11°

2x = 40°

x = 40° / 2

x = 20°

Hope it will help :)❤

Answer:

Multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]

Option C is correct option.

Step-by-step explanation:

We need to multiply and simplify: [tex]-3x^2y^2 \:.\: x^4[/tex]

Simplifying the term:

[tex]-3x^2y^2 \:.\: x^4[/tex]

While multiplying, the variables with same bases are multiplied: [tex]a^m\:.\:a^n=a^{m+n}[/tex]

In the given question only x^2 and x^4 are variables with same bases, So we get:

[tex]=-3(x^{2+4})y^2\\=-3x^6y^2[/tex]

So, multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]

Option C is correct option.

Answer:

17 tkrnfuebdkrheejshdhfd

Answer:

Step-by-step explanation:

13d + 8 = -1

subtract 8 from both sides

13d = -9

d = -9/13

either keep it in fraction form or if you divide it out it is -0.6923

You would use d) power of a power because:

(Answer:

Which law would you use to simplify the expression (x^4)^9 ?

A)product of powers

B)power of a product

C)power of a quotient

D)power of a power

Step-by-step explanation:

x^4)^9

= (x^(4*(9))

= x^36

hope this helps

The law used to simplify the given expression (x⁴)⁹ is D) Power of a power law.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given expression is (x⁴)⁹.

Power of a power rule is the rule of the exponents which states that if a number in the base is raised to some power, which is again raised to another power, then both the powers will get multiplied leaving the base as same.

We can use this rule here, since the base x is raised to 4, which is again raised to 9.

Using the rule,

(x⁴)⁹ = (x)⁽⁴⁾⁽⁹⁾ = x³⁶

Hence the rule used is power of a power rule.

Learn more about Exponents here :

https://brainly.com/question/29473829

#SPJ7

Your question is incomplete. The complete question is as given below.

Which law would you use to simplify the expression (x⁴)⁹ ?

A)product of powers

B)power of a product

C)power of a quotient

D)power of a power

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

Answer:

a. 2x+5y=50

b. (25,0), the number of tennis shoes needed to weigh 50 pounds.

c.(0,10), the number of boots needed to weigh 50 pounds.

Step-by-step explanation:

a. Weight times number is what we are looking for to add up to the total weight of the shoes

b. set to y to 0

c.  set x to 0

Answer:

A and C

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Answer:

A. 21/40

B. 8/12 or 2/3

Step-by-step explanation:

Answer:

392?

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

We have a given triangle with two interior angles which are x + 23 and 80°. The third angle of the triangle would be equal to 4x + 17. This is because vertical angles are congruent.

Thus:

(x + 23) + 80 + (4x + 17) = 180

x + 23 + 80 + 4x + 17 = 180

5x + 120 = 180

Subtract - 120 both sides

5x = 180 - 120

5x = 40

Divide both sides by 5

x = 8

Answer:

B.) The initial cost is $12,950

Step-by-step explanation:

Given that:

[tex]f(d)=275d+12,950[/tex]

is the function to represent the cost for a company for the production of a part for [tex]d[/tex] number of days.

To find:

What does the value 12,950 represent in the above cost function.

Solution:

The given function contains two parts:

1. One part is multiple of [tex]d[/tex] and

2. Second part is a constant.

Here, [tex]d[/tex] is the number of days.

As [tex]d[/tex] changes, the value also changes but the constant part remains the same.

Therefore, we can conclude that the initial cost for the company is $12,950.

The answer is:

B.) The initial cost is $12,950

Answer: the initial cost is $12,950

Step-by-step explanation:

I took the test

Answer:

green

Step-by-step explanation:

11a^3−4a^2−14a−7

Answer:

11a³-4a²-14a-7

(The light blue/green one)

Step-by-step explanation:

We'll need to combine like terms (terms with the same variables and exponents)

(4a³-8a-4a²)+(7a³-7-6a)

add/subtract

we'll keep -4a² and -7 as is as there aren't any other terms like them

11a³-14a-4a²-7

put into standard form:

11a²-4a²-14a-7

(The light blue/Green one)

Hope this helps!

Answer:

y=-4x=5

Step-by-step explanation:

i did it on a test

Answer:

X=25

Y=25

Z=115

Step-by-step explanation:

Answer:

h = 12t

Step-by-step explanation:

Its given that x = 3t.

Also its given that h = 4x

Substituting the value of x gives =

h = 4(3t) = 4 × 3t = 12t

Answer: Store label cornflakes

Step-by-step explanation:

A dollar for 8 more oz of cornflakes than the national brand is a deal.

Answer:

the answer is 13

Step-by-step explanation:

i did PEMDAS

Answer:

13

Step-by-step explanation:

11+2*2-2

2*2=4

4+11=15

15-2=13

13 is the answer

if the exponent was 5 you would put 2*2*2*2*2.

Answer:

Step-by-step explanation:

3/5 is equivalent with 12/20, 30/50

3*4=12,   3*10=30

5*4=20,   5*10=50