which law would you use to simplify the expression 3^10/3^4

Option D( X=15)

Solution,

2x=15+x

or, 2x-x=15

X=15

hope it helps...

Good luck on your assignment...

Answer:

[tex]x = 15[/tex]

Step-by-step explanation:

[tex]2x = 15 + x \\ 2x - x = 15 \\ x = 15[/tex]

Answer D is correct

Answer:

A) the set of integers is commutative under operation '-'

The commutative property holds for Addition and Multiplication, but not for subtraction and division.

So, option (D) is correct.

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

The commutative property holds for Addition and Multiplication,

Example,   [tex]2+4=4+2[/tex]

                  [tex]3*2=2*3[/tex]

The commutative property does not  holds for subtraction and division.

Example,       [tex]3-2\neq 2-3[/tex]

                    [tex]4/2\neq 2/4[/tex]

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Answer:

$1753.13

Step-by-step explanation:

Kane's Annual Salary  = $42,500

Gross Pay = $42,500

Net Pay = Gross Pay - 1% of Gross Pay

=42500 - (0.01 X 42500)

=$42,075

Since he is paid twice a month with paychecks being  of equal amounts.

Number of Payments in a Year =12 X 2= 24

Therefore, Kane's Take Home pay after Medicare taxes

[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]

Answer: 1.35 miles

Step-by-step explanation:

9/10th of quarter mile = 9/40

For 6 days

9/40 x 6 = 27/20 = 1.35 miles

Answer:

V=π*r^(2)*h/3

Step-by-step explanation:

Answer:

even = 1/2

prime = 1/2

multiple of 5 = 1/6

Step-by-step explanation:

probability is the chances of obtaining a certain result out of many attempts.

when rolling a die, the maximum number of results you can get is 6

Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)

Even = There are only 3 even numbers from 1 to 6

Prime: There are only 3 primes from 1 to 6

Multiples of 5 = There is only one multiple of 5.

Now you present each of this out of 6:

Even: 3/6 = 1/2

Prime: 3/6 = 1/2

Multiple of 5 = 1/6

This can also be presented as a decimal or percentage:

Even: 50% = 0.5

Prime: 50% = 0.5

Multiple of 5 = 16.67% = 0.16

Hope this helps.

Good Luck

Answer:

[tex]P=0.0625[/tex]

Step-by-step explanation:

The probability of getting one tails is a half.

The probability of getting another tails given you had a tails is:

[tex]\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}[/tex]

The probability of getting n tails in general is given by:

[tex](\frac{1}{2})^n = \frac{1}{2^n}[/tex]

So, when we have four tails - our value for n is four.

[tex](\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625[/tex]

Answer:

11/12

Step-by-step explanation:

Calculate the sum

rewrite the fraction

simplify the fraction

Solution 11/12

Answer:

2520

Step-by-step explanation:

Answer:

a) Not replaced

Yelllow marker First - Then Blue Marker  =

(1/10)(1/9)  =  1/90

b) Replaced

(1/10) (1/10)  = 1/100

Answer   "C"

Step-by-step explanation:

Answer:

4,20,11,2,1y

Step-by-step explanation:

The first graph has a constant additive rate of change of -1/4.

First of all, when we talk about a rate of change, that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.

Also, if you observe the linear graph, you would see that the line represents a negative rate of change, because the line is going down (the function is decreasing). In other words, as x-variable increases, y-variable decreases.

Therefore, the first graph shows a ratio of change of -1/4.

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Answer:

25

Step-by-step explanation:

(-5)^2+10(-5)(2)+25(2)^2

=25+(-100)+100

=25

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is

2(x + 2)(x - 9) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)

y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.

Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.

And putting x = 0 gives the y-intercept of the function. (if any, for both cases).

Given the function as;

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is;

2(x + 2)(x - 9) = 0

Then Equate each factor to zero and solve for x;

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

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Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

Answer:

Coefficient

Step-by-step explanation:

The blank word is coefficient.

Coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Let the expression,

y = mx.

Here, x and y are the variables.

And m is the constant.

So, m is multiplied to the variable x.

That means, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

Therefore, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

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Answer:

The slope is 0/ No slope.

All Y values are the same

Step-by-step explanation

just took a test on it

Answer:

Look at the picture**

Step-by-step explanation:

X2

Answer:

Step-by-step explanation:

x2

Answer:

-2

Step-by-step explanation:

3-5= -2

Answer:

A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).

In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

We know that the area of each tile is 3 1/2in^2

All we need to do is divide.

210 / 3.5 = 60

So, she will need 60 tiles to cover the entire bathroom floor.

Best of Luck!

Answer:

Multiply 8 and 3

Step-by-step explanation:

6+ (-5-7/2) -8(3)

Using the order of operations

BODMAS

•BRACKET

•OFF

•DIVISION

•MULTIPLICATION

•ADDITION

•SUBTRACTION

The first step is to deal with the bracket

Which is

6+(-5-7/2)-24

Next is solve the next parenthesis

6+(-12/2)-24

Next

6+(-6)-24

Next

6-6-24

= -24

Answer:

A is correct answer

Step-by-step explanation:

Answer:

acute triangle

Step-by-step explanation:

A triangle with all angles less than 90 degrees has all angles that are acute.

Acute angles are less than 90 degrees

1. cos(30) = a/16

a = 16 x cos(30)

a = 8√3

sin(30) = c/16

c = 16 x sin(30)

c = 8

2. cos(30) = d/28

d = 28 x cos(30)

d = 14√3

sin(30) = f/28

f = 28 x sin(30)

f = 14

3. sin(30) = x/62

x = 62 x sin(30)

x = 31

cos(30) = y/62

y = 62 x cos(30)

y = 31√3

Answer:

  1. (a, c) = (8, 8√3)

  2. (d, f) = (14, 14√3)

  3. (x, y) = (31, 31√3)

Step-by-step explanation:

Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.

__

1. a : c : 16 = 1 : √3 : 2

Multiply by 16/2 = 8:

  = 8 : 8√3 : 16

  a = 8, c = 8√3

__

2. d : f : 28 = 1 : √3 : 2

Multiply by 28/2 = 14:

  = 14 : 14√3 : 28

  d = 14, f = 14√3

__

3. x : y : 62 = 1 : √3 : 2

Multiply by 62/2 = 31:

  = 31 : 31√3 : 62

  x = 31, y = 31√3

Explanation:

The first inequality has its shaded region below the solid boundary line. The second inequality has its shaded region above the dashed boundary line. Overlapping the two regions leads to the left-most shaded area. This shaded area is darkest of all the shaded areas, due to the overlapping colors. All points in this area make both inequalities true.

Only point B  (-2, 2) is in this region. The other points are either in one shaded region only.

Explanation:

This is for contrapositive negating the converse of the conditional.

Hence,option D is correct.

Hope it helps

Good luck on your assignment

Answer:

-6x

check the attachment i provided

Step-by-step explanation:

[tex]-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x[/tex]

Answer:

-6x

Step-by-step explanation:

All you have to do is subtract the constants, because the variable is going to be there always

x intercept(y=0)

4y-3x=108

4×0-3x=108

-3x=108

x=108/-3

x=-36

y intercept(x=0)

4y-3×0=108

4y=108

y=108/4

y=27