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Alex787 [66]
4 years ago
5

Mrs. Forrester collects antique quilts. She already

Mathematics
1 answer:
Romashka [77]4 years ago
4 0

Answer:

x=7

Step-by-step explanation:

x+15=2x+8

x-x+15=2x-x+8

15=x+8

x=7

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CALCULUS: For the function whose values are given in the table below, the integral from 0 to 6 of f(x)dx is approximated by a Re
ladessa [460]

The table gives values of <em>f(x)</em> at various <em>x</em> in the interval [0, 6], and you have to use them to approximate the definite integral,

∫₀⁶ <em>f(x)</em> d<em>x</em>

with a left-endpoint sum using 3 intervals of width 2. This means you have to

• split up [0, 6] into 3 subintervals of equal length, namely [0, 2], [2, 4], and [4, 6]

• take the left endpoints of these intervals and the values of <em>f(x)</em> these endpoints, so <em>x</em> ∈ {0, 2, 4} and <em>f(x)</em> ∈ {0, 0.48, 0.84}

• approximate the area under <em>f(x)</em> on [0, 6] with the sum of the areas of rectangles with dimensions 2 × <em>f(x)</em> (that is, width = 2 and height = <em>f(x)</em> for each rectangle)

So the Riemann sum is

∫₀⁶ <em>f(x)</em> d<em>x </em>≈ 2 ∑ <em>f(x)</em>

for <em>x</em> ∈ {0, 2, 4}, which is about

∫₀⁶ <em>f(x)</em> d<em>x </em>≈ 2 (0 + 0.48 + 0.84) = 2.64

making the answer A.

7 0
2 years ago
A 20-pack of Dr. Pepper cost $5.50 and a 6-pack cost $1.50. Which is the better deal?​
Irina-Kira [14]

Answer:

Step-by-step explanation:

20-pack of Dr. Pepper cost $5.50 . As per this deal

  Cost of one pack = 5.5/20 = $ 0.275

a 6-pack cost $1.50.As per this deal

  Cost of one pack = 1.50/6 = $ 0.25

A 6-pack cost $1.50 is the better deal.

5 0
3 years ago
Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

5 0
3 years ago
Which of the following is a point slope equation of the line below (10,5)(2,2)
salantis [7]
Point slope form follows the equation y-y₁=m(x-x₁), so we want it to look like that. Starting off with m, or the slope, we can find this using your two points with the formula \frac{ y_{1}  -y_{2} }{ x_{1} - x_{2} }. Note that y₁ and x₁ are from the same point, but it does not matter which point you designate to be point 1 and point 2. Thus, we can plug our numbers in - the x value comes first in the equation, and the y value comes second, so we have
\frac{5-2}{10-2} = \frac{3}{5} as our slope. Keeping in mind that it does not matter which point is point 1 and which point is point 2, we go back to  y-y₁=m(x-x₁) and plug a point in (I'll be using (10,5)). Note that x₁, m,  and y₁ need to be plugged in, but x and y stay that way so that you can plug x or y values into the formula to find where exactly it is on the line. Thus, we have our point slope equation to be y- 5= \frac{3}{5} (x-10)

Feel free to ask further questions!
7 0
3 years ago
Arrange the following fraction in ascending order 4/12 , 5/6 , 2/3 5/6
ratelena [41]

Answer:

4/12  2/3 5/6 5/6

Step-by-step explanation:

7 0
2 years ago
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