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Mathematics

1 answer:

Mandarinka [93]2 years ago

8 0

Answer: Option A

Step-by-step explanation:

After multiplying, 6^3/6^6 will add up too 216/46656. This fraction simplified is

1/216.

B; 6^-3 multiplied will equal 1/216.

C; quite obvious that it is equal to 1/216

D; 6^3 is 216, making this fraction 1/216

That leaves only A to be not equivalent

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While traveling in Canada, a police officer pulls you over for speeding. The posted speed limit is 100

torisob [31]

Answer:

Speeding at 160.934 km/hr

Step-by-step explanation:

1 mile = 1.609344 kilometers

1.609344 * 100 = 160.934 kilometers

8 0

3 years ago

Read 2 more answers

Help answer asap pls ---------

Reika [66]

Answer:

d = 5

Step-by-step explanation:

We want to know what d would be when x = -1, so we can start off by plugging in -1 for x to get the following equation: $\sqrt{8 - (-1)} = 2(-1)+d$ . On the left hand side, 2 negatives become a positive sign, so the -(-1) becomes a +1, and 8+1 would equal 9. On the right hand side, we just multiply 2 and -1 to get -2. So, the equation now looks like this: $\sqrt{9} = d-2$ . We know that $\sqrt{9}$ = 3, so we would get 3 = d-2. THen we would add 2 to both sides to get d = 5. Hope this helps!

8 0

2 years ago

Enter the explicit rule for the sequence

Softa [21]

Let's take a look at the first few numbers in the sequence based on the given rule:

$a_{1}=6\\ a_{2}= \frac{1}{4}(6)\\ a_3= \frac{1}{4}\big( \frac{1}{4}\big)6= \big(\frac{1}{4}\big)^2(6)\\ a_{4}= \frac{1}{4} \big(\frac{1}{4}\big)^26= \big(\frac{1}{4}\big)^3(6)$

Inspecting this pattern it seems like the power $\frac{1}{4}$ is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be $\big(\frac{1}{4} \big)^{n-1}$ . We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as

$a_n=6\big( \frac{1}{4} \big)^{n-1}$

Where $a_n$ is the nth number in our sequence.