Choose all properties that were used to simplify the following problem:

(Possible answers)
1 associative property of addition
2 associative property of multiplication
3 multiplicative inverse
4 commutative property of multiplication
5 multiplicative identity
6 distributive property
7 commutative property of addition
Multiple choice!

Answer:150?

Step-by-step explanation:

The standard deviation is 3.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Given, formula for the standard deviation

s = √[1/n(n-1)](n∑x²-(∑x)²)

values: x₁ = 13, x₂ = 16, x₃ = 10

step1: Calculate the square of each data value.

x₁² = 13² = 169

x₂² = 16² = 256

x₃²= 10² = 100

step2: Determine n times the sum of squares of the three values.

n∑x² = n(x₁²+x₂²+x₃²)

=3(169+256+100) = 1575

step3: Calculate the sum of the three values.

∑x = x₁+x₂+x₃

= 13+16+10 =39

step4: Calculate the square of the sum of the three values.

(∑x)² = 1521

step5: Calculate the variance.

[1/n(n-1)](n∑x²-(∑x)²)

=[1/3(3-1)](1575-1521)

=54/6

=9

step6: Calculate the standard deviation.

√[1/n(n-1)](n∑x²-(∑x)²)

= √9

=3

Hence, The standard deviation using the given formula for x₁=13, x₂=16 and x₃=10 is 3.

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The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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The probability the spy is able to unlock the tablet on his first try is P = 1/362880

Given that,

Camila sets up a passcode on her tablet, which allows only nine-digit codes.

And, A spy sneaks a look at Camila's tablet and sees her fingerprints on the screen over nine numbers.

Hence,  the total amount of different sequences that can be built using 9 digits is:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 362,880

Therefore, the probability the spy is able to unlock the tablet on his first try is,

P = 1/362880

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Answer:

x=21

Step-by-step explanation:

The two angles form a straight line so they add to 180

6x+2+52 = 180

6x+54= 180

Subtract 54 from each side

6x+54-54 = 180-54

6x= 126

Divide by 6

6x/6 =126/6

x = 21

Answer:

21

Step-by-step explanation:

Answer:

c (62)

Step-by-step explanation:

Answer:

so no it is not

Step-by-step explanation:

It is an irrational number if it is not a perfect square. Since 1682 is not a perfect square, it is an irrational number.

Hello :D

To do this we need to do:

$2.40/12 = $0.20

Answer = $0.20

Answer: 0.20

Step-by-step explanation:

Above is correct! and same question as you

Answer:

x = 50°

Step-by-step explanation:

2x = 140 - 40

2x = 100

x = 100/2

x = 50°

Answer:

D

Step-by-step explanation:

I think its D because you could set up the equation like

40 = 2x

then divide by 2 because of the 2x

Answer:

32

Step-by-step explanation:

Let's assume that the triangles are similar.

\(\frac{16}{12} = \frac{24}{18} = \frac{x}{24}\)

\(\frac{x}{24} = \frac{4}{3} => x = \frac{24}{3} * 4= 8 * 4 = 32\)

Answer:

scientific notation is the system to write very large or very small number.

Answer:

8.2

Step-by-step explanation:

We can find the unit rate of this problem by dividing 18.68 by 24 to get .82. .82*10 is equal to 8.2.

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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Answer:

p=92.

Step-by-step explanation:

7p=644

/7     /7   -----> divide by 7 on both sides

_______

p=92

Hope this helps!

Answer:

Divide both sides of the equation by 7

The variable is 92

Step-by-step explanation:

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer:

volume is 17157.28 :)

Step-by-step explanation:

Some of the graphs are continuous graphs while some are discontinuous graphs

Continuous graphs are graph that there is a y value for all x values

On the other hand, some graphs can be discontinuous graphs. This is so because there have holes or jumps or gaps on the coordinate plane

Also, the domain and the range of a relation are the set of input and output values of that relation, respectively

Using the above as a guide, we have:

Graph a

Graph b

Graph c

Graph d

Graph e

Graph f

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Step-by-step explanation:

The graph of Fx), shown below in pink, has the same shape as the graph of G(x)-x, but it is shifted to the right two units. Complete its equation below Enter exponents using the caret (a), for example, enter x as x 4. Do not include Fx)-in your answer. .5 5 F(x) = Answer: 0

The equation of the graph is,

⇒ G (x) = (x - 3)⁴

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function G (x) is shown in image.

Here, The graph is 3 units left to function F (x) = x⁴.

Hence, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

Thus, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

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Answer:

Yes

Step-by-step explanation:

Simplifiying, or combining like terms is how we are able to see a problem in a much more, easy to read format. When simplifying multiple terms into one another, it is important to ensure the items being combined all have the same variables and coefficients.

Variables: A variable is a letter used to stand for a number. The letters x, y, z, a, b, c, m, and n are probably the most commonly used variables.

Coefficients: The number used in front of a variable. Looks of that like for say, 3x. We don't have any coefficients in this problem, so no need to worry about that for now.

Looking at our problem we are given the following:

\(z+y+z+x+y+z\\\)

So Simplify this, its simple! Combine the like variables. (x with x, y with y, and z with z) Since all the variables given are positive, we are only adding like variables.

The steps would look as following:

\(z+y+z+x+y+z\\z+z+z =\\y+y= \\x =\\\)

Now, combine the like terms, and rewrite in alphabetical form:

\(z+z+z=3z\\y+y=2y\\x=1x = x\\x+2y+3z\)

With all that said, the answer is yes, this answer is equivalent to the one shown. Instead of showignthe condensed, normal form, we are given an expanded version of what is seen. The way the variables are placed in the equation do not matter, as long as all of the variable come out to have the same result.

I hope that this provided you with some clarification and I would be happy to help you again in the future! Have a nice day! :D

Answer:

Yes its equivelant. you have one x. 2 y and 3 z

Step-by-step explanation:

Answer: x=2.5

y=-1.75

Step-by-step explanation:

x-2y=6

x=6+2y

3(6+2y)+2y=4

18+6y+2y=4

8y=-14

y=-1.75

x=6+(-1.75)(2)

x=2.5

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

Answer:

a. Angel has a greater flat fee

b. Difference = $130

Step-by-step explanation:

Given

Rose:

\(Flat\ Fee = \$50\)

\(Rate = \$12\)

Angel

Guests --- Charges

10 -------- $180

15 -------- $255

25 -------- $405

30 -------- $480

Solving (a): Who charges the greater flat fee?

We have that the flat fee of Rose is:

\(Flat\ Fee = \$50\)

For Angel, we need to determine the equation of the given table

Start by calculating the slope (m) of the table

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where x and y represent any two corresponding values of the guests and the charges.

\((x_1,y_1) = (10, 180)\)

\((x_2,y_2) = (30, 480)\)

So: \(m = \frac{y_2 - y_1}{x_2 - x_1}\) becomes

\(m = \frac{480 - 180}{30 - 10}\)

\(m = \frac{300}{20}\)

\(m = 15\)

Next, we calculate the equation using:

\(y - y_1 = m(x - x_1)\)

Where

\(m = 15\)

\((x_1,y_1) = (10, 180)\)

\(y - 180 = 15(x - 10)\)

\(y - 180 = 15x - 150\)

Add 180 to both sides

\(y - 180 + 180 = 15x - 150 + 180\)

\(y= 15x + 30\)

From the equation above:

The slope = 15 --- This represents the hourly rate

and

y intercept = 30 --- This represents the flat fee

This is better represented as:

Angel

\(Flat\ Fee = \$30\)

\(Rate = \$15\)

and

Rose:

\(Flat\ Fee = \$50\)

\(Rate = \$12\)

By comparison, Angel has a greater flat fee

Solving (b): Difference between total charges of 50 guests for both caterers.

For angel, the equation is:

\(y= 15x + 30\)

and x = 50.

So:

\(y = 15 * 50 + 30\)

\(y = 750 + 30\)

\(y = 780\)

For Rose,

First, we need to determine the equation.

\(Flat\ Fee = \$50\)

\(Rate = \$12\)

The equation is:

\(y = Flat\ Fee + Rate * x\)

\(y = 50 + 12 * x\)

So, the total charges for 50 guests is:

\(y = 50 + 12 * 50\)

\(y = 50 + 600\)

\(y = 650\)

The difference is then calculates as:

\(Difference = 780 - 650\)

\(Difference = \$130\)

Answer:

x=58 degrees

Step-by-step explanation:

A line is 180 degrees. So x+90+32=180. 32+90=122. Now you do 180-122 and you will get 58.

Answer:

I got a decimal

Step-by-step explanation:

0.857142857

Answer:

Step-by-step explanation: