Question 1 of 8
Which of the following math statements contain variable(s)? Check all that
apply.
O A. 11 - x= 9
B. 4 + 6 = 10
O C. 6 - 6 = 0
D. ? + 1 = 5

Answer:

Try to understand by substitute a number in a and n.

Step-by-step explanation:

For example,

a=2, n=1

a^n= 2^1= 2

[tex]\frac{1}{2}[/tex] = 0.5

2^(-1)=0.5

Step-by-step explanation:

[tex] \frac{1}{ {a}^{n} } = {a}^{ - n} [/tex]

~Math Induction

[tex] \: [/tex]

—Prove that n = 1

[tex] \frac{1}{ {a}^{1} } = {a}^{ - 1} [/tex]

[tex] \frac{1}{a} = \frac{1}{a} \to \sf proved[/tex]

[tex] \: [/tex]

—Prove that n = k

[tex] \frac{1}{{a}^{n}} = {a}^{n} [/tex]

[tex] \frac{1}{{a}^{k}} = {a}^{-k} , k \in \mathbb{R}[/tex]

[tex] \: [/tex]

—Prove that n = k + 1

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - (k + 1)} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - k} \times {a}^{ - 1} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k} } \times \frac{1}{ {a}^{1} } [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k + 1} } \: \: \rm proved[/tex]

[tex] \: [/tex]

Proved that 1/a^n = a^-n

Answer:

x = x amount of chips in 1 bag

x about of chips in 1 bag times the 4 bags = x amount of chips in all 4 bags

Step-by-step explanation:

6 men → 4 days → 3 metres

1 man → 24 days → 3 metres

1 man → 8 days → 1 metres

1 man → 56 days → 7 metres

10 men → 5.6 days → 7 metres

therefore, 5.6 days

Topic: direct n inverse proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

It will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Step-by-step explanation:

Laying the data in column

----------------------------------------------------

6 men            3 m hole              4 days

10 men           7 m hole             x days

-----------------------------------------------------

As [tex]6[/tex] men dig a hole in [tex]4[/tex] days, so their rate will be:

[tex]rate\:=\:\frac{4}{3}[/tex]

Then  [tex]6[/tex] men would take [tex]7\times \frac{4}{3}=\frac{28}{3}[/tex] days to dig a hole of depth 7 m.

As we are letting 10 men do work, so they would

take [tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex] days.

so

[tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex]

             [tex]=5.6[/tex]   days

Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Answer:

=

64 / 7x -2

Step-by-step explanation:

You multiply 16 and 4/7 than you take away 2 I think im bad at this-

Answer:

n + q = 28 0.05n + 0.25q = 4

Answer:

The answer is A :>

Answer:

It's Number A.

Step-by-step explanation:

It is number A because she walks 15 miles per hour, the ratio would be

hours - miles.

So, it means there are 15 miles to 4 hours.

Answer:

(0,5)

Step-by-step explanation:

q1, 96£ q2, 588€

Step-by-step explanation:

q1, 120€×80/100 the zeroes are cancelled then 12×8=96€

q2, 980€ × 60/100 again the zeroes are cancelled then 98×6= 588€

Answer:(x-3) (x+3)

Step-by-step explanation:

The equation x^2 - 9 is modeled by placing tiles. The image is attached below.

It is the kind of modeling in which tiles are used to represent products. It provides a visual representation of the multiplication.

To make a model, first, we must factorize the expression.

The given expression is x^2 - 9.

This can be factored as shown below:

x^2 - 9 = (x - 3)(x + 3)

We must now make a horizontal row containing x, -1, -1, and -1.

Similarly, we must make a vertical column containing x, 1, 1, and 1.

Now we must multiply each row and columnn to together and add them together as shown below:

x^2 - x - x - x + x + x + x - 9 = x^2 -9

This is the same as the given expression.

Thus, we have modeled the given expression by placing tiles in the product section.

Learn more about tile modeling here: https://brainly.com/question/26940677

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Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

Answer:

scalene right

Step-by-step explanation:

all side are opposite and there is a 90% so that makes it right

Answer:

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

and

[tex]339.292 cm^3[/tex]

Step-by-step explanation:

This question is simple once you break it down.

Let's concentrate on the outer cylinder.

First, find the volume of the outer cylinder.

The volume of a cylinder is expressed as: [tex]V = \pi r^2 h[/tex]  

Gathering information from the diagram..

d = 8 cm

h = 9 cm

You can get the radius from the diameter by just dividing the diameter by 2.

[tex]r = \frac{8}{2}=4[/tex]

r = 4

Plug everything into the volume equation.

[tex]V = \pi 4^2 (9)[/tex]

Don't solve just yet!

Now, find the volume of the inner cylinder.

Do the exact same thing as you did for the outer cylinder.

d = 4 cm

h = 9 cm

[tex]r = \frac{4}{2}=2[/tex]

r = 2

Plug everything into the volume equation..

[tex]V = \pi 2^2 (9)[/tex]

The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.

Again, the volume for the large cylinder is [tex]V = \pi 4^2 (9)[/tex] and the volume for the cylindrical hole is [tex]V = \pi 2^2 (9)[/tex]

This means..

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

That is your answer to the first part of the question.

For the second part, just solve.

[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]

[tex](\pi*16*9)-(\pi*4*9)[/tex]

[tex](\pi*144)-(\pi*36)[/tex]

[tex]144\pi-36\pi[/tex]

[tex]108\pi[/tex]

[tex]339.292[/tex]

Don't forget the units.

[tex]339.292 cm^3[/tex]

Hope this helped you!

Answer:

What ever the other guy said

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hopes this helps

Answer:

The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers. So its answer B!

Step-by-step explanation:

Answer:

Part A: so that no single branch has to much power

Part B: "Each branch of government must check the actions of the other two branches to prevent one branch from having too much power."

Answer:

Part A is the first choice and part B is the second choice

Answer:

Step-by-step explanation:

$13+$5.50=$18.50

$29.50 divided by $18.50=Your Answer

Answer:

You can rent canoe for 3 hrs.

Step-by-step explanation:

Say R = Rent

h = hours of using

* Rent needs to be added when we pick the canoe itself

* Hours should be multiplied with $5.50 to get total spent money.

R + 5.50h = 29.50

R=13

13+5.50h = 29.50

5.50h= 29.50-13

5.50h = 16.50

h = $16.50/$5.50 (

h = 3

Answer: Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”

Step-by-step explanation:

So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

Answer:

hello thank you

Step-by-step explanation:

Answer:

TYSM    Have a great Day!!!

:)

Step-by-step explanation:

低于当地人民：或立场上有一些事情了！儿女情长的好了吗我想做出

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

Answer: small bottles

Step-by-step explanation:

124 * 7 =868 ounces

14 * 64 = 896 ounces

Answer:What’s your question?

Step-by-step explanation:

4300

6 is ones

1 is tens

3 is hundreds

4 is thousands

therefore the answer is 4300

If 4316 is rounded to the nearest 100 then its value will be, 4300

Rounding means making a number simpler but keeping its value nearby original value.

Rules for rounding nearest 100:-

1. If the number's final two digits are 50 or higher, we round it up to the next hundred.

2. If the number's final two digits are 49 or less, we round it down to the closest hundred.

3. If the final two numbers are 00, there is no need to round because the number is already one hundred.

We have given number, 4316

Number's final two digits are less than 49

Hence, The rounded value is 4300

To know more about  Rounding check:

https://brainly.com/question/29878750

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Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.