which expression would be easier to simplify if you use the associative property to change the grouping.​

Answer:

The volume of the rectangular prism is 3/20 (or 0.15) mm³.

Step-by-step explanation:

The volume of the rectangular prism can be calculated as follows:

[tex] V = l*w*h [/tex]     (1)

Where:

l: is the length = 4/5 mm

w: is the width = 1/2 mm

h: is the height = 3/8 mm  

By entering the values of l, w, and h into equation (1) we can find the volume:

[tex] V = l*w*h = \frac{4}{5} mm*\frac{1}{2} mm*\frac{3}{8} mm = \frac{3}{20} mm^{3} = 0.15 mm^{3} [/tex]

Therefore, the volume of the rectangular prism is 3/20 (or 0.15) mm³.

I hope it helps you!

Answer:

true

Step-by-step explanation:

this is because

(10x+5-6x-2)

(10x-6x)+(5-2)

which equals 4x+3

then

(5x + 1 - (x - 2))

5x+1−x+2

(5x−x)+(1+2)

also equals

4x+3

Answer:

$2.50tip

Step-by-step explanation:

12.50*0.20=2.50

The answer for 8 is a $27 tip

The answer for 9 is a $26.92 tip

Answer:

True

Step-by-step explanation:

5 times 3 equal 15. 15 minus 3 equals 12

Answer:

First, remember the definition of a vertical contraction/dilation.

If we have a function f(x), and we dilate it with a factor A, such as:

g(x) = A*f(x).

If A is larger than 1, then we are dilating the graph of f(x)

if A is smaller than 1, then we are contracting the graph of f(x).

In this case we have:

f(x) = x + 10 and g(x) = 0.3*f(x) = 0.3*x + 0.3*10 = 0.3*x + 3.

A = 0.3

then we have a contraction.

From this, we can conclude that the effects of this transformation in the graph will be that the graph of g(x) will be a vertical contraction of the graph of f(x).

(Where contracting means that in a given interval [x1, x2] the associated interval [f(x1), f(x2)] will be larger than [g(x1), g(x2)])

Below you can see both graphs, and see the difference between them, where green is f(x) and blue is g(x)

Answer:

B. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Answer:

I believe It's B

Step-by-step explanation:

answer: a≤ 5/3

Step-by-step explanation:

First you have to subtract 4 from both sides making: 3a≤ 9

Next you divide both sides by 3 making: a≤ 3

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296

Answer:

GCF

I hope this helps!

Answer:

GCF

Step-by-step explanation:

Answer:

Technically, it already works because you have $16.15

Step-by-step explanation:

Answer:

a = 0

Step-by-step explanation:

a + 5 = −5a + 5

subtract the 5a and bring it to the left and take the 5 on the left and bring it to the right then solve.

6a = 0

divide and you get

a = 0

Answer:

55:5

121:11

Step-by-step explanation:

Answer:

Area =  [tex]L x W[/tex]

=  [tex]99 by 99[/tex]

=  [tex]9801 feet2[/tex]

-BBBM

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

Answer:

1- 50

2-49

3-22

Step-by-step explanation:

just add the sides that you have and then subtract the sum by 90 becasue theu are right triangles

Answer:

15 loonies = $15.00

12 quarters = $3.00

CHECK:

15+12=27

3+15=18

So there are 15 loonies :)

Answer:

t=2/f-5

Step-by-step explanation:

2/t=f-5

or,2=(f-5)/t

t=2/(f-5)

Answer:

Sorry you will have to clarify more on the width I do not under stand :/

Step-by-step explanation:

Answer: A=14

Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14

Answer: x=12

Step-by-step explanation:

20 squared= 400 and 16 squared= 256. The Protagorean Theorm is a sqaured plus b sqaured equals c squared. You just reverse the Theorm to C sqaured minus B squared= A squared. 400-256=144 (12x12= 144)

Complete Question

The complete question is shown on the first uploaded image

Answer:

The expression are

        [tex]\Delta E  = \Delta E _1 + \Delta E_2[/tex]

and

     [tex]\Delta E  = \Delta E _3 + \Delta E_4[/tex]

Step-by-step explanation:

Generally from the diagram  the energy change from state A to  state B is  

        [tex].\  \ \Delta E_2 \ \ \ \ \  \  \ \ \Delta E_2  \\A  \ \ \to \ \ \  C \ \ \ \to \ \ \  B\\[/tex]

Also  

[tex].\  \ \Delta E_3 \ \ \ \ \  \  \ \ \Delta E_4  \\A  \ \ \to \ \ \  D \ \ \ \to \ \ \  B\\[/tex]

So  two expressions for the difference in internal energy between state a and state b are  

      [tex]\Delta E  = \Delta E _1 + \Delta E_2[/tex]

and

     [tex]\Delta E  = \Delta E _3 + \Delta E_4[/tex]

Answer:

12

Step-by-step explanation:

according to the pythagorous theorem

Answer: Answer is y= 3x+1

Step-by-step explanation:

Use point slope form y-y°=m(x-x°)

Find m, the slope: subtract the y values of the points, and divide that with the number you get when you subtract the x values of the points.

You should get m=3

Take either of the points, I’ll choose (0,1) because they are easy to use. Substitute 0 for x° and 1 for y°.

y-(1)=3(x-(0)) Substitute (0,1)

y-1=3x Simplify

y=3x+1 Add 1 to both sides and you’re done

Answer:

Step-by-step explanation:

We know that ohms law is given by the expression

V=IR

In the problem, we are given that

voltage v= 17.5volts

currents I=125 amps

Substituting our data into the expression we have

17.5=125*R

R=17.5/125

R=0.14 ohms

Hence the current is 0.14 ohms

Answer:

See explanation

Step-by-step explanation:

Required

Divide 157 by 10 repeatedly.

This is done as follows...

157 Divided by 10 = 15 Remainder 7

15 Divided by 10 = 1 Remainder 5

1 Divided by 10 = 0 Remainder 1

As per the requirement of the question, no further action or operation is required

Answer:

I'm pretty sure its 0...since anything multiplied by zero is 0

Answer:

x= -11

Step-by-step explanation:

Use Math  way.

Answer:

C does not represent a function

Step-by-step explanation:

you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function

Answer:

42/14

Step-by-step explanation:

division is multiplication by its reciprocal so its gonna be 6/7x7/2=42/14

(simplify of course)

Answer:

[tex]y=x^{2} +8x+12[/tex]  is the quadratic function.

Step-by-step explanation:

We know that -6 and -2 are the zeros. So, they are both equal to x.

x = -6 and x = -2

Add them to x.

(x + 6) (x + 2)

Now, multiply the two binomials together.

[tex]x^{2} +6x+8x+12[/tex]

Combine like terms.

[tex]y=x^{2} +8x+12[/tex]

[tex]y=x^{2} +8x+12[/tex] is the answer.