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e-lub [12.9K]
2 years ago
8

One edge of a painting is 6 in. longer than the other edge. The picture has a 2-inch-wide frame. Write a quadratic function f in

standard form to represent the total area of the picture and frame. Then find the total area of the picture and the frame if its longer edge is 14 inches long.
Mathematics
1 answer:
vivado [14]2 years ago
5 0

answer:

error

explanation:

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Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum
const2013 [10]

Answer:  The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

S=\sum_{i=1}^{\infty}15(4)^{i-1}.

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, \sum_{i=1}^{\infty}a_i is an infinite series, with complex coefficients a_i and we consider the following limit:

L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.

Then, the series will be convergent if  L < 1 and divergent if  L > 1.

For the given series, we have

a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.

So, the limit is given by

L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0
3 years ago
Read 2 more answers
Please help! It’s due soon!
o-na [289]

vertex (1,-1) axis of symmetry is x=1, domain all real numbers (i think neg ys) range y is less equal than -1, y increases as x less 0 bug IMO x decreases

3 0
3 years ago
I’ll give brainliest pls help
andrew11 [14]

Answer:

The slopes of WX and XZ

Step-by-step explanation:

The singular factor that determines if the parallelogram is a rectangle are the angles at the edges

Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle

So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product

Hence, the slopes of WX and XZ can be calculated to show this

7 0
3 years ago
Please Help Me!
luda_lava [24]

Answer:

A. they both have 4 right angles

B. a sqaure has 4 even sides, a rectangle doesnt

c. they both have 4 even sides

d. rhombi has 2 acute and 2 obtuse angles

e. Parallelograms are a quadrilateral where diagonals bisect each other, opposite sides are parallel by definition, opposite sides are congruent and consecutive angles are supplementary.

6 0
2 years ago
Complete the table for the number of trees planted compared to the number of trees that continue to
Sedaia [141]

Answer:

the answer is gonna be 55 ,34

Step-by-step explanation:

4 0
3 years ago
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