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avanturin [10]
3 years ago
7

14. Michelle simplified an expression for the perimeter of the rectangle below and got X + 35.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

The correct expression for the perimeter is P=(\frac{5}{3}x+70)\ units

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

L ----> the length of rectangle

W ---> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

In this problem we have

L=(\frac{5}{6}x+23)\ units

W=12\ units

substitute the values

P=2(\frac{5}{6}x+23+12)

P=2(\frac{5}{6}x+35)

P=(\frac{10}{6}x+70)\ units

Simplify

P=(\frac{5}{3}x+70)\ units

so

Michelle didn't multiply the sum of length and width by 2

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(40 POINTS)
34kurt

Answer:

1.   y= 25400(1 + 0.11)^x

2.  2019

Step-by-step explanation:

1. y = a(1 + r)^x       <em> </em>

<em>(exponential growth formula :</em>

<em>a = initial value (the amount before measuring growth or decay) </em>

<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal) </em>

<em> x = number of time units that have passed)</em>

y= 25400(1 + 0.11)^x

so in 1 year, in 1996, we would say

y=25400(1+0.11)^1

y=25400(1.11)

y=28194

2. I found the answer by plugging in numbers into x

with x = 24

y= 25400(1+0.11)^24

y= 310874

so in 24 years, the population will surpass 302438 which would be 1995+24= 2019

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3 years ago
Slope is a measure of the steepness of a line. It is a ratio of horizontal change (rise) to vertical change (run).
Nonamiya [84]

See in the explanation

<h2>Explanation:</h2>

We can write the Slope-Intercept form of the equation of a line as:

y=mx+b \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept

The slope is a measure of the steepness of a line It is a ratio between vertical change (run) and horizontal change (rise), so we can also write the slope (m) as:

m=\frac{Change \ in \ y}{Change \ in \ x}=\frac{rise}{run}

We have the following facts:

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  • If we increase the run, the slope decreases and if we decrease the rise the slope increases.
<h2 /><h2>Learn more:</h2>

Slope of tangent to curves: brainly.com/question/12383276

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8 0
3 years ago
7.
Vadim26 [7]

Answer:

2,160

Step-by-step explanation

x=12

18,000=100

x= 2,160

8 0
3 years ago
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Find the area of each figure. Round to the nearest hundredth where necessary.
leonid [27]

Answer:

A = 1,307 cm^2

Step-by-step explanation:

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A = 2 (lw + lh + wh)

length*width = (20)(23) = 460

length*height = (23)(4.5) = 103.5

width*height = (20)(4.5) = 90

A = 2 (460 + 103.5 + 90)

A = 2(653.5)

A = 1,307 cm^2

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3 years ago
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