What is the binomial expansion of (m + 2)4?

The expansion will have
terms with coefficients from row
of Pascal’s triangle.

​

Answer:

1. irrational number

2. rational number

3. terminating decimal

4. repeating decimal

Step-by-step explanation:

1. If x isn't rational, it must be an IRRATIONAL NUMBER(the root I usually means not, hence the opposite of rational)

2. RATIONAL NUMBER

3. TERMINATING DECIMAL

4. 0.77777...= REPEATING DECIMAL(7 is repeating)

Answer:

for the m = -1

b= -3

Type of slope= negative

Step-by-step explanation:

hope this helps

Answer:

A: law

B:  The opposite of a number is its additive inverse. The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).

C: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

Step-by-step explanation:

I hope this helps. :)

Answer:

Breadth = 60,  Length = 60

Step-by-step explanation

Let length & breadth of rectangular area be : L & B

As, Fencing Yards = 320. So, perimeter ie  2 (L + B) = 320

B = (320 - 2L)/2 → B =  160 - L (*)

Area of rectangle [A]  = L x B = L  (160 - L)  → A = 160L - L^2

Maximising Area, So first derivative d [A] / d [L] = 160 - 2L

d [A] / d [L] ] = 0  → 160 - 2L = 0  → L = 160/2  → L = 80

By (*) : B = 160 - L = 160 - 80 → B = 80

Checking maximising condition, double derivative d^2[A] / d[L]^2 = -2

As d^2[A] / d[L]^2 is negative, L & B values are maximising A

Answer:

36 units

Step-by-step explanation:

The two legs of this right triangle are 9 and 12. In order to find the length of the hypotenuse, you must plug in the 9 and 12 to the Pythagorean theorem:

a^2 + b^2 = c^2, where a and b are legs and c is the hypotenuse

If you plug in the values 9 and 12, you get:

9^2 + 12^2 = c^2

= 81 + 144 = c^2

= 225 = c^2

= 15 = c

This means that the hypotenuse is 15 units long. Now, you just need to add all the sides to get:

9 + 12 + 15

= 36 units

(Also as a fun fact, a Pythagorean Triple is when the three sides of a right triangle are integers. It is good to memorize a few of these, like 3-4-5, 5-12-13, 7-24-25 and 8-15-17. The largest side value is always the hypotenuse, and if you multiply all the sides by a scale factor, you can get other triples. If you knew the 3-4-5 triple, you might have noticed that 9 and 12 are 3 times each of the legs 3 and 4. From that information, you could just multiply the 5 by 3 to get 15 for the hypotenuse of this triangle, which might've made this problem a little easier)

Answer:

36

Step-by-step explanation:

Answer:

y=$9x+$6.95

Step-by-step explanation:

Answer:

$7.10

Step-by-step explanation:

6.95+.15=7.10

Answer:

5,960,000

Step-by-step explanation:

Population in one city= 2,840,000

Population in another city= 3,120,000

Population living in both cities= 2,840,000 + 3,120,000 = 5,960,000

Answer:

Which equation is true when the value of x is -12    HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

or

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)  

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

Answer:

Then change in time divide by the change in Temperature

Answer:

5 feet

Step-by-step explanation:

When you place the 13 foot ladder, the ladder, floor, and wall forms a right triangle and the ladder will become the hypotenuse.

We use the Pythagorean Theorem. Let x be the distance from the building.

x^2 +12^2 = 13^2

x^2 + 144 = 169

x^2 = 169 - 144

x^2 = 25

Take the square root of 25 and you get 5

x = 5

Answer:

E and D

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Hope this helps

Answer:

Answer:

A. 2 sinx cosx - 1 + 2 sin^2 x.

Step-by-step explanation:

sin2x = 2 sinx cosx

cos2x = cos^2x - sin^2x

So sin2x - cos2x =  2 sinx cosx - ( cos^2x - sin^2x)

But cos^2 x = 1 - sin^2 x, so we have:

2 sinx cosx - (1 - sin^2 x - sin^2x)

= 2 sinx cosx - 1 + 2 sin^2 x.

Answer:

The perimeter of a triangle is the sum of all its three sides.

So,

0.73+0.73.0.73 = 2.19in

Answer:

7

Step-by-step explanation:

hope it helps

Answer:

7

Step-by-step explanation:

1/6 * 42 = 7

Answer:

10, 8, 6, 4, 2

Step-by-step explanation:

Answer:

So, the factors of 45 are 1, 3, 5, 9, 15, and 45.

Step-by-step explanation:

Answer:

I think your answer would be 13.5

Step-by-step explanation:

5 x 10 = 50

50 - 2 = 48

48 + 60= 108

108 / 8 = 13.5

Answer:

8/340.

Step-by-step explanation:

First thing to do is add up all of the ones. I know that it = 8, so we now have 8/. Now to figure out what the rest is... oh! I know! It's 5 x 68, which is 340, Meaning we know have 8/340.

Answer:

[tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex]

Step-by-step explanation:

The formula is actually d= [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]. Now first, we have to find points A and C.

Point A is (1,2) and Point C is (-1,0).

Now we have to substitute the values in. That would make it d =[tex]\sqrt{(-1-1)^{2} + (0-2)^{2}}[/tex].

To simplify the parentheses, it would get to d= [tex]\sqrt{(-2)^{2}+(-2)^{2} }[/tex].

To simplify the exponents, it would get to d = [tex]\sqrt{4+4}[/tex].

To simplify the square root, it would get to d = [tex]\sqrt{8}[/tex].

So the answer is either [tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex].

Hope this helped! If not, please let me know!

Answer:

5-3

Step-by-step explanation:

Answer:

5-3

Step-by-step explanation:

the first one is exactly what you described, and the second one is the same because subtracting a negative is equivalent to adding a positive.

Answer:

(3,-1) is a solution but (4,3) is not a solution

Step-by-step explanation:

You simply look to see if x in both ordered pairs are 3 since you are given the equation x=3 then x needs to equal 3 for it to be valid

Answer:

I think the second one two but I'm not sure

Hope this helped.

Answer:

2/56.7= x/708.75

Step-by-step explanation:

Answer:

x-intercept: none

y-intercept: 4.5

linear

slope: 0

Step-by-step explanation:

Answer:

The sequence that best represents the order during repaid of a fracture as as

follows

3. hematoma formation

4. fibrocartilaginous callus formation

2. bony callus formation

1. cartilage ossification

5. remodeling of woven (spongy) bone into compact bone

Step-by-step explanation:

When a bone is fractured, the first step following a bone fracture is hematoma formation.

Hematoma formation is formed when a little blood escapes from the blood vessels and remains in the skin's thickness, creating a blue spot. The hematoma is an effusion of blood that occurs deeper under the skin.

From there, the formation of tissues begins from end to end of the broken bones. It is a reorganization of the bone tissue (the bone itself), allowing the consolidation of a fractured bone. This bone formation welds the two parts of the broken bone together for a particular period depending on the patient's bone tissue condition. This bone callus will form in two episodes.

1) There first appears a fibrocartilaginous callus, also called connective callus, which allows the fracture to heal in a few weeks. It is an immature bone.

2) In a second step, this immature bone is gradually replaced by another bone (calcified/bony) resembling the bone which has been fractured.

From there, the ossification of the callus occurs where the bony callus is further replaced by woven spongy bones to form a stronger stabilizing collar.

Finally, the remodeling of woven (spongy) bone into compact bone takes place. Lamellar bones are replacing these woven spongy bones.

Answer:

3x + 2 = 14

3x + 2 - 2 = 14 - 2

3x = 12

3x/3 = 12/3

x = 4

Step-by-step explanation:

3x + 2 = 14

subtract 2 from both sides

3x + 2 - 2 = 14 - 2

combine like terms.

3x = 12

divide both sides by 3

3x/3 = 12/3

x = 4

Answer:

Step-by-step explanation:

8x=2x+12+6x-7.7-4.3

8x=2x+12+6x-12

8x=8x

x=x

X could be any number

Example : If x=4

4*8+4.3=2(4+6)+6*4-7.7

32+4.3=20+24-7.7

36.3=36.3

It will be nice if you give me brainliest.Good luck!

Answer:

hE WILL HAVE TO DOWN LOAD 50 SONGS

Step-by-step explanation:

You question is a little unclear but I'm going to assume you meant how much the guinea pig walked.

The hamster walked 20 feet, and the guinea pig walked 1/4 less. So you find 1/4 of 20, which is 5. Then, you subtract 20 and 5: 20-5 = 15. So the guinea pig walked 15 feet.

Answer:

The answer is D.

Step-by-step explanation:

First, you have to find the differences in number of guests in this 2 party :

[tex]31 - 20 = 11 \: guests[/tex]

Next, you have to divide by the smaller value which is the first party, then, multiply by 100 as the question wants percentage increase :

[tex] \frac{11}{20} \times 100 = 55\%[/tex]