Answer:
your answer would be 5.8
Step-by-step explanation:
Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18
Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term
First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5
Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8
y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13
The value of x is 8, the value of y is 13
<h3>
Answer: 24.5 </h3>
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Explanation:
It might help to draw it out. See the diagram below.
The base is JK which is 7 units long. I'm picking this as the base because this segment is completely horizontal.
Notice how the base JK spans from x = -3 to x = 4, which we can use subtraction and absolute value to get |J-K| = |-3-4| = 7.
The height is always perpendicular to the base. If the base is JK = 7, then the height is the vertical distance from K (or J) to L. This vertical distance is also 7 units. Subtract the y coordinates and apply absolute value. The base and height aren't always the same number.
Now we can find the area of the triangle
area = base*height/2
area = 7*7/2
area = 49/2
area = 24.5 square units
Answer:
The first derivative of
(r(t)=5*t^{-2}) with respect to t is
(r'(t) = -10*t^{-3}).
Step-by-step explanation:
Let be
, which can be rewritten as
. The rule of differentiation for a potential function multiplied by a constant is:
, 
Then,

(r'(t) = -10*t^{-3})
The first derivative of
(r(t)=5*t^{-2}) with respect to t is
(r'(t) = -10*t^{-3}).
Answer:
The girl which read 3/6 of a chapter book read more pages than the other girl.
Step-by-step explanation:
We need to compare between
so, the denominator of both fractions should be the same number
Factor of 6 = 1 * 2 * * 3
Factor of 8 = 1 * 2 * 2 * 2
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The common denominator = 1 * 2 * 2 * 2 * 3 = 24

Then compare between 
So, the fraction of the great numerator will be the great fraction

∴ 
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<u>Another solution:</u>
Convert both fractions to decimal:
3/8 = 0.375
3/6 = 0.5
0.5 > 0.375
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<u>Third Solution: </u>
As the numerators are equal
The fraction of least denominator is the great fraction
So, 3/6 > 3/8