Answer: -1/3
Step-by-step explanation:
gradient = change in y/change in x
gradient = 7-8/6-3
gradient = -1/3
Answer:
b
Step-by-step explanation:
a rational number can be expressed in the form
where a and b are integers
has no factors which are perfect squares and so cannot be expressed in this form.
then is irrational
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:
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.
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.
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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