Answer:
Decimal: n = 3.5
Fraction: n = 7/2
Step-by-step explanation:
6n = 21
n = 21/6
n = 7/2
n = 3.5
Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + <u>1</u>
3 = 2 + <u>1</u>
4 = 3 + <u>1</u>
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-
here,
- n is the number of terms
- a is the first number of the series
- an is the last number of the series
So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25
So, the value of S comes out to be 325.
A 180º rotation around the origin changes the coordinates from (x, y) to (-x, -y).
A translation 7 units up increases the y value by 7 units.
A reflection over the x-axis results in the y-values being opposites.
53
Why :
this is type of casework
- B can only be 1
so E = 4
9 x 1 x 10 x 10 x 1 = 900
and so, theres only one possible.
Answer:
Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
<em>Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.
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<em>However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.
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<em>The addition to 1 on the exponent shifts the function to the left but doesn't change the range.
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<em>In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).
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<em>Domain: (-∞, ∞)
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<em> Range: (0,∞)</em>
