Slope of the line (3,8) and (6, 7)

Answers

Answer 1
Answer:

Answer: -1/3

Step-by-step explanation:

gradient = change in y/change in x

gradient = 7-8/6-3

gradient = -1/3


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A twons populations is 43,425. About 125 people move out of the town each month, 200 people on the average move into town. A nearby town has population of 45,000. it has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal? Write an equation that represents this situation and solve.
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Classify the number √23 as rational or irrational. Options: a) Rational b) Irrational

Answers

Answer:

b

Step-by-step explanation:

a rational number can be expressed in the form

(a)/(b) where a and b are integers

√(23) has no factors which are perfect squares and so cannot be expressed in this form.

then √(23) is irrational

L onUURS allu ueposits in transit in the are added to the bank statement balancedeposits to 75. l of the following are reasons touse an estimated method of costing inventory excepta. Interim financial statements are required but physicalimventory is only taken at the end of the financialaccounting period.b. A disaster has destroyed the inventory records and the inventory.c. Perpetual inventory records are not maintained.d. Purchase records are not maintained.

Answers

The right answer for the question that is being asked and shown above is that: ".b. A disaster has destroyed the inventory records and the inventory."L onUURS allu ueposits in transit in the are added to the bank statement balancedeposits to 75.

Terrance and Lakendra are going to GameStop for new video game controller and some new games. Their grandmother gave them a $125 gift card for this purpose. If the controller they want is $45 and games are $20 each, what is the maximum number of games they can be purchase (their father will be paying the sales tax)?

Answers

125-40 = 85

Then if each game cost $20 they could get 4 games and have $5 left over

How much is a 1935 wheat penny worth?

Answers

Answer:

USA Coin Book Estimated Value of 1935 Lincoln Wheat Penny is Worth $0.20 in Average Condition and can be Worth $3.38 to $5.84 or more in Uncirculated (MS+) Mint Condition.

Step-by-step explanation:

Explain why there must be at least two lines on any given plane.

Answers

The correct answer is:
there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.

Explanation:
Since a plane is defined by 3 non-collinear points, we could have: a line and a point not on that line; two intersecting lines; two parallel lines; or simply 3 non-collinear points.
For 3 non-collinear points: If none of the 3 points are collinear, then we could have 3 lines, 1 going through each point. These lines may or may not intersect. If two of the 3 points are collinear, then we have a line through those 2 points as well as a line through the 3rd point.. Again, these lines may intersect, or they may be parallel.

There exists one plane through any three noncollinear points. Since the points cannot be on the same line, at least two lines would have to pass through any of the three points.

`. Select all the pairs of equivalent expressions.a. (43)3 and 43 ⋅ 43
b. (34)4 and 38 ⋅ 38
c. 64 ⋅ 34 and 188
d. 43 ⋅ 53 and 203
e. (43)3 and 43 ⋅ 43 ⋅ 43

2. Choose an equivalent expression for 123 • 129 • 124 • 122.
a. 12^4
b. 12^18
c. 12^35
d. 12^216

3. Choose an equivalent expression for 106 ÷ 104.
a. 10^2
b. 10^3
c. 10^10
d. 10^24

4. Select all the expressions that are equivalent to 78 • 7.
a. 73 • 73
b. 7^18/7^9
c. (73)3
d. 74 + 75
e. 74 • 75

5. Is this equation correct?

63 ⋅ 73 = 423

A. Yes; 63 • 73 is equal to (6 • 7)3 or 423.

B. Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).

C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).

D. No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.

Answers

This question was not properly written

Complete Question

Select all the pairs of equivalent expressions.

a. (4³)³ and 4³ ⋅ 4³

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

c. 6⁴ ⋅ 3⁴ and 18⁸

d. 4³ ⋅ 5³and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

2. Choose an equivalent expression for 12³ • 12⁹• 12⁴ • 12².

a. 12^4

b. 12^18

c. 12^35

d. 12^216

3. Choose an equivalent expression for 10⁶ ÷ 10⁴.

a. 10^2

b. 10^3

c. 10^10

d. 10^24

4. Select all the expressions that are equivalent to 7⁸ • 7.

a. 7³• 7³

b. 7^18/7^9

c. (7³)³

d. 7⁴ + 7⁵

e. 7⁴ • 7⁵

5. Is this equation correct?

6³⋅ 7³= 42³

A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.

B. Yes; 6³ • 7³is equal to (6 • 7 • 3) or (42 • 3).

C. No; 6³ • 7³ is equal to (6 • 7 • 3) or (42 • 3).

D. No; 6³ • 7³ is equal to (6 • 7)³+ 3 or 42⁶.

Answer:

1 The correct answer is

d. 4³ ⋅ 5³ and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

2b. 12^18

3 a = 10²

4a. 7³ • 7³

c. (7³)³

e. 7⁴ • 7⁵

5 A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.

Step-by-step explanation:

1) Select all the pairs of equivalent expressions.

These are the correct options

d. 4³ ⋅ 5³and 20³

4³ × 5³ = 8000

20³ = 8000

e. (43)3 and 43 ⋅ 43 ⋅ 43

2. Choose an equivalent expression for 12³ • 12⁹• 12⁴• 12².

For an Algebraic Expressions,

We have the rule

x^a × x^b = x ^a+ b

Hence: 12³ • 12⁹• 12⁴ • 12².

= 12^3+9+4+2 = 12^18

Hence, b. 12^18

3. Choose an equivalent expression for

10⁶ ÷ 10⁴.

For an Algebraic expressions

x^a ÷ x^b = x ^a - b

Therefore

10⁶÷ 10⁴ = 10²

a. 10^2 Is the correct option

4. Select all the expressions that are equivalent to 7⁸ • 7.

7⁸ . 7= 7^8+1

= 7^9 or 7⁹

The equivalent expressions are:

a. 7³ • 7³ = 7⁹

b. 7^18/7^9 = 7⁹

c. (7³)³ = 7⁹

e. 7⁴ • 7⁵ = 7⁹

5. Is this equation correct?

6³ ⋅ 7³ = 42³

A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³

1. There are equivalent expressions in options (a) and (e).(43)3 and 43 ⋅ 43,  (43)3 and 43 ⋅ 43 ⋅ 43

2. The equivalent expression for 123 • 129 • 124 • 122 is 12^18. Option b

3. The equivalent expression for 106 ÷ 104 is 10^2.Option a

4. Equivalent expressions in options (a) and (c) represent 78 • 7.

5. The equation 63 ⋅ 73 = 423 is not correct; the correct result is 63 • 73 = 1369.Option C

1. Pairs of Equivalent Expressions:

a. (43)3 and 43 ⋅ 43: These are equivalent expressions because (43)3 means 43 raised to the power of 3, which is the same as 43 multiplied by itself 3 times.

e. (43)3 and 43 ⋅ 43 ⋅ 43: These are equivalent expressions because (43)3 means 43 raised to the power of 3, which is the same as 43 multiplied by itself 3 times.

2. Equivalent Expression for 123 • 129 • 124 • 122:

b. 12^18: This expression represents the product of 12 raised to the power of 18, which is equivalent to multiplying the given numbers.

3. Equivalent Expression for 106 ÷ 104:

a. 10^2: This expression represents 10 raised to the power of 2, which is equivalent to the given division.

4. Expressions Equivalent to 78 • 7:

a. 73 • 73: This expression represents the square of 7^3, which is equivalent to 78 • 7.

c. (73)3: This expression represents 7^3 raised to the power of 3, which is equivalent to 78 • 7.

5. Is the Equation Correct?

C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3). The equation 63 ⋅ 73 = 423 is not correct; the correct result is 63 • 73 = 1369. The provided equation does not accurately represent the multiplication of 63 and 73.

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