Answer:
2,948,400
Step-by-step explanation:
<u>For the first letter</u>, there are possibility of putting 26 different letter from the alphabet.
<u>For the second letter,</u> there are possibility of putting 25 different letters from the alphabet (since repetition is not allowed from first digit)
Now,
<u>For first digit</u>, there is possibility of 9 digits, since 0 is NOT ALLOWED.
<u>For second digit,</u> there is possibility of 9 digits, since 0 IS ALLOWED BUT repetition of first digit is not allowed.
<u>For third digit,</u> there is possibility of 8 digits, since 2 are taken in first 2 slots and repetition is not allowed.
<u>For fourth digit,</u> there is possibility of 7 digits, since 3 are taken in first 3 slots and repetition is not allowed.
<em><u>Now we multiply all the possibilities to get the number of license plates possible.</u></em>
26 * 25 * 9 * 9 * 8 * 7 = 2,948,400
Answer:
x = 44°
Step-by-step explanation:
The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.
Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.
To find the missing angle, first write an equation representing the given rule:
102° + 47° + 34° + 133° + x° = 360°
(316°) + x° = 360°
316° + x° - 316° = 360° - 316°
x° = 44°.
This way, because the rule must be true, the missing angle with this value will satisfy this:
102° + 47° + 34° + 133° + <u>44°</u> = 360°
For this topic, here are some general angle rules for polygons:
- n is the number of sides
- 180° (n – 2) = sum of interior angles of any polygon.
- 180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].
- 360° = sum of exterior angles of any polygon.
- 360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].
Answer:
<h2>D) The graph would shift 5 units up.</h2>
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
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We have f(x) = x² - 8
f(x) = x² - 8 <em>add 5 to both sides</em>
f(x) + 5 = x² - 3
Therefore your answer is D)
Answer:
I'm pretty sure it's B. compression but I'm not 100% sure not to good at that
Answer:A
Step-by-step explanation:
2 (7-2) = 14-4 = 10
And 10> 8