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Ludmilka [50]
3 years ago
15

Help on this math stuff

Mathematics
1 answer:
liq [111]3 years ago
6 0

Plan A would be better


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What is the 101st term in the sequence 997, 989, 981, ...?
melamori03 [73]

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

d=a_n-a_{(n-1)}\\d=989-997\\d=-8

Then the formula for the 101st term is the shown below:

a_n=a_1+(n-1)d

Where:

a_1=997\\d=-8\\n=101

Substitute values into the formula. Therefore, you obtain:

a_n=997+(101-1)(-8)=197

4 0
3 years ago
Read 2 more answers
3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_<u>4</u>_ <u>_3_</u> ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_<u>4</u>_ _<u>3</u>_ _<u>2</u>_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0
3 years ago
What is the slope of the line represented by the equation y = -1/2x + 1/4
liubo4ka [24]

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y = -1/2x + 1/4

This equation is in slope intercept form

y = mx+b where m is the slope and the y intercept is b

The slope is -1/2 and the y intercept is 1/4

8 0
3 years ago
a cook has 2 2/3 cup of flour. a recipe calls for 2 3/4 cups of flour. does the cook have enough flour? if not, how much more fl
NeTakaya
The cook do not have enough flour. He only has 2.67 cups of flour while the recipe needs 2.75 cups of flour. Therefore, he needs 0.08 more cups of flour in order to have enough for the recipe. Hope this answers the question. Have a nice day.
6 0
3 years ago
Jacob performs the work shown to find tan Tangent 165 degrees. Tangent 165 degrees = negative StartRoot StartFraction 1 + cosine
abruzzese [7]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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