Which of the following statements uses the commutative property of addition
2+(3+4)=(2+3)+4
2+(3+4)=(2+3)+(2+4)
2+(3+4)=2+(4+3)

Answer:

B - The correct answer is graph B

Step-by-step explanation:

Answer:

the correct choice is graph B. (see attachment below)

Answer:   Z²+ 9Z + 8

Step-by-step explanation:

You take the two z's and times them to get Z² then you do the Z times 1 to get  1Z then you do the Z times 8  to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z.  The you put it in standard form to get Z²+9Z+8

Answer:

Step-by-step explanation:

tan x-cot x

[tex]=\frac{sin~x}{cos~x} -\frac{cos~x}{sin ~x} \\=\frac{sin^2x-cos^2 x}{sin ~x~cos~x} \\=\frac{-2(cos^2x-sin^2x)}{2 sin ~x~cos~x} \\=\frac{-2 cos~2x}{sin~2x} \\=-2 cos ~2x~cosec~2x[/tex]

Answer:

x^4-9x²+1

Work:

The difference of six times and seven results in 35.

Difference - subtract

Times - multiply

Result - answer

The subtraction of six multiplied by a number and (subtracting) seven gets you the answer of 35.

6x - 7 = 35

The answer would be...

B. Divide by 6, and then subtract by 7.

Answer:

The concentration of HCl in the mixture is 1L of 50% HCl

Step-by-step explanation:

Here, we want to know the percentage of HCl present which refers to the its concentration.

Firstly, the total volume we have is 0.375 + 0.625 = 1 L

we can calculate the percentage as follows;

The percentage of the 25% present is 37.5%

while the percentage of the 75% present is 62.5%

When we say the percentage present, we are referring to the amounts of the total liters which is 1 present.

So the concentration of the final mixture will be;

(37.5% of 25) + (62.5% of 65)

= 9.375% + 40.625%

Adding both gives = 50%

So the concentration we have is 1L of 50% HCl

Answer:

x² - 10x + 16 = 0

Step-by-step explanation:

Given the solutions x = 8 and x = 2 , then the factors are

(x - 8) and (x - 2) and the equation is

(x - 8)(x - 2) = 0 ← expand left side using FOIL

x² - 10x + 16 = 0

Answer:

1110

Step-by-step explanation:

Hey there!

222 multiplied by 5 is 1110.

You can also use a calculator to find that out haha!

Have a wonderful day!

Answer:

y=3x-7

Step-by-step explanation:

Answer:

183 meters

Step-by-step explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]

The actual length of the Sydney Opera House is 183 m.

Answer:

7/36

Step-by-step explanation:

7/9* 1/4

Multiply the numerator

7*1 = 7

9*4 = 36

Put the numerator over the denominator

7/36

Answer:

Step-by-step explanation:

7/9 x 1/4 = 7/36

Answer:

B the size of the circle is a function of the height of the rectangle

Step-by-step explanation:

Please tell me if it is right and give me thanks and brainleist only if right

Answer:

25.12

Step-by-step explanation:

C = 2*3.14*4

C = 8*3.14

C = 25.12

Answer:

C =25.12 cm

Step-by-step explanation:

The circumference is given by

C = 2* pi *r

C = 2 * 3.14 * 4

C =25.12 cm

Answer:

670 numbers

Step-by-step explanation:

T1=1*3-2

T2=2*3-2

T3=3*3-2

...............

Tn=n*3-2

n*3-2=2008

n*3=2010

n=2010:3

n=670 (numbers)

Answer:

2005-1=2004 so there is 2004 numbers

every 3 numbers 1 is chosen

2004/3=670

670 numbers are in between

Hope this helps

Step-by-step explanation:

Answer:

the newer moat is 169 cm longer than the older one

Step-by-step explanation:

in order to find the difference in length of the two castles, we will first find the perimeters of the two castles then calculate the difference in the perimeters:

old castle:

dimension = 484cm by 386cm

perimeter = 484 + 386 = 870 cm

new castle:

dimension = 725cm by 314cm

perimeter = 725 + 314 = 1039 cm

difference =  1039 - 870 = 169 cm

The total length of the moats used is equals to the perimeter of the sand castles, therefore, the newer moat is 169 cm longer than the older one.

Answer:

Look I know I'm about 2 1/2 years late but the answer is not 169 or whatever the person above me said, it's 660 I answered this before.

Answer:

The anwer is 1/2

[tex]P=N_Y/Total=3/6=1/2[/tex]

Answer:

∠1 = 90°

Step-by-step explanation:

The angle inscribed in a semicircle is always 90°

∠1 = 90°

Answer:94m/s

Step-by-step explanation:

Using the formula:

v=u+at

Where v= final velocity (the unknown)

u= initial velocity (4m/s)

a= acceleration (3m/s)

t= time (30seconds)

v=4+(3*30)

= 4+90

= 94m/s

Answer:

632.2 cm^2

Step-by-step explanation:

for this, you have to find the surface area:

area of side x 2: 22x10.5x2 = 46.2cm^2

area of top and bottom: 22 x 8 x 2 = 418 cm^2

area of front + back = 8 x 10.5 x 2 = 168 cm^2

sum = surface area = 632.2 cm^2

Please mark brainiest

Answer:

AB = 30 inch

BC = 14 inch or BC = 50 inch

Step-by-step explanation:

Make a drawing. Please see the attachment. All measurements are in inches.

Consider the two triangles:

∆ ABC and ∆ AB'C

1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.

AN is the height and there fore is perpendicular to NC and thus also to BC.

In ∆ ANC

AN² + NC² = AC²

We want to calculate NC, so:

NC² = AC² - AN²

Given: AC = 40 and AN = 24

NC² = 40² + 24²

NC² = 1600 + 576

NC² = 1024

NC = +-SQRT(1024)

NC = 32

NC = NB + BC

We want to know BC

BC = NC - NB

Given: NB = BN = 18 and we just calculated NC to be 32 so...

BC = 32 - 18

BC = 14

2. Looking only at ∆ AB'C

AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.

AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.

In ∆ AB'N

c² = a² + b²

AB'² = AN² + B'N²

Given: AN = 24 and B'N = 18

AB'² = 24² + 18²

AB'² = 576 + 324

AB'² = 900

AB' = +-SQRT(900)

AB' = 30

In ∆ AB'C

with AB' = 30 and AC = 40

c² = a² + b²

B'C² = AB'² + AC²

B'C² = 30² + 40²

B'C² = 900 + 1600

B'C² = 2500

B'C = +-SQRT(2500)

B'C = 50

Now we have our answers.

Extra:

Please look at the picture again, but now concentrate on the indicated 50 and - 50...

I am trying to explain something about the meaning of the outcome of mathematical calculations like:

c² = 2500

c = +- SQRT(2500)

c = 50 or c = - 50

Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...

1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?

2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).

It is important to understand that a negative sign means the 180° in the direction of the other way.

In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -

minus value of your calculated outcome.

Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.

I hope this has made some sense to you :-).

Answer:

The answer is b

Step-by-step explanation:

I know this because a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression and since 9 is being multiplied by x that would mean 9 is a coefficient in this expression.

Answer:

The answer is A. Bianca had $8.

Step-by-step explanation:

I really hope this helps.

Answer:

x = - 1

Step-by-step explanation:

The points A, B and C are collinear meaning they all lie on a line.

Thus

AB + BC = AC , substitute values

x + 10 + x + 14 = 22, that is

2x + 24 = 22 ( subtract 24 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Answer:

The answer is A, parallel.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:

[tex]V=72300e^{(.071)(19)}[/tex] and

[tex]V=72300e^{1.349[/tex] and

V = 72300(3.853570033) so

V = $278,613.11

Answer:

D

Step-by-step explanation:

f(x)=(3/5)x-10

f(5)=(3/5)(5)-10=

3-10=

-7

Hope this helps!

Answer:

C) 3x

Step-by-step explanation:

There are three feet in a yard. Yards are represented by x in this problem and therefore the answer is 3x.