Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed? A: 4+4+4+4
B: 8+8+8+8
C: (-1)(4+4+4+4)
D: (-8)+(-8)+(-8)+(-8)
Answers
Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go, AND HE STOPS 8 TIMES, SO correct answer is 8*4 = 32
Answer:The correct answer is actually D
Step-by-step explanation:
I took the test and got it right :0)
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Answers
Answers
Answer:
Step-by-step explanation:
Part 1: Find GCF of variables
The equation gives d ² and d as variables. The GCF rules for variables are:
- The variables must have the same base.
- If one variable is raised to a power and the other is not, the GCF is the variable that does not have a power.
- If one variable is raised to a power and the other is raised to a power of lesser value, the GCF is the variable with the lesser value power.
The GCF for the variables is d.
Part 2: Find GCF of bases (Method #1)
The equation gives 108 and 216 as coefficients. To check for a GCF, use prime factorization trees to find common factors in between the values.
Key: If a number is in bold, it is marked this way because it cannot be divided further AND is a prime number!
Prime Factorization of 108
108 ⇒ 54 & 2
54 ⇒ 27 & 2
27 ⇒ 9 & 3
9 ⇒ 3 & 3
Therefore, the prime factorization of 108 is 2 * 2 * 3 * 3 * 3, or simplified as 2² * 3³.
Prime Factorization of 216
216 ⇒ 108 & 2
108 ⇒ 54 & 2
54 ⇒ 27 & 2
27 ⇒ 9 & 3
9 ⇒ 3 & 3
Therefore, the prime factorization of 216 is 2 * 2 * 2 * 3 * 3 * 3, or simplified as 2³ * 3³.
After completing the prime factorization trees, check for the common factors in between the two values.
The prime factorization of 216 is 2³ * 3³ and the prime factorization of 108 is 2² * 3³. Follow the same rules for GCFs of variables listed above and declare that the common factor is the factor of 108.
Therefore, the greatest common factor (combining both the coefficient and the variable) is .
Part 3: Find GCF of bases (Method #2)
This is the quicker method of the two. Simply divide the two coefficients and see if the result is 2. If so, the lesser number is immediately the coefficient.
Therefore, the coefficient of the GCF will be 108.
Then, follow the process described for variables to determine that the GCF of the variables is d.
Therefore, the GCF is .
Answer:
Below
Step-by-step explanation:
If d is a positive number then the greatest common factor is 108d.
To get it isolate d and d^2 from the numbers.
108 divides 216. (216 = 2×108)
Then the greatest common factor of 216 and 108 is 108.
For d^2 and d we will follow the same strategy
d divides d^2 (d^2 = d*d)
Then the greatest common factor of them is d.
So the greatest common factor will be 108d if and only if d is positive. If not then 108 is the answer
b. –9 + 9i
c. –5 + 9i
d. –5 – 3i
Answers
Answer:
d
Step-by-step explanation:
(-7 + 3i) + (2-6i)
=-7 + 3i + 2 -6i
=(-7+2) + (3i -6i)
=-5 -3i
Answer:
(-7+3I)+(2-6I)
= -7+3i+2-6i
= -5-3I
so answer is d ie -5-3i
Answers
Answer:
uhh hope this helps
Step-by-step explanation:
A Diginacci sequence is created as follows.
• The first two terms are any positive whole numbers.
• Each of the remaining terms is the sum of the digits of the previous
two terms.
For example, starting with 5 and 8 the Diginacci sequence is
5, 8, 13, 12, 7, 10,. . .
The calculations for this example are
5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.
a) List the first 26 terms of the Diginacci sequence above.
b) Find, with explanation, two starting terms for a Diginacci sequence
so that its 2021st term is 11.
c) Find, with explanation, a Diginacci sequence that has no term equal
to 11.
d) Find, with explanation, a sequence with two different starting terms
which contains five consecutive terms that are even and not all identical
Both 2 and 3 is correct.
Answers
Answer:
1/3
Step-by-step explanation:
We can find the slope of a line by using
m = (y2-y1)/(x2-x1)
= (3-4)/(5-8)
= -1/-3
=1/3
Answers
Answer:
20
Step-by-step explanation:
b = a^2/4 +4
Let a =8
b = 8^2 /4 +4
= 64/4 +4
= 16 +4
= 20
Answer:
b = 20 when a = 8.
Step-by-step explanation:
For this problem, we will simply plug the value of a=8 into the given equation for b, to find the value of b.
b = [ (a)^2 / 4 ] + 4
b = [ (8)^2 / 4 ] + 4
b = [ 64 / 4 ] + 4
b = [ 16 ] + 4
b = 20
Hence, when the value of a=8, then the value of b=20.
Cheers.