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icang [17]
3 years ago
14

part A: is x=6 a solution of the equation 8x+18=56? Explain. Part B: suppose the solution x=6 increases to x=9, and the left sid

e of the equation stays the same. How would the right side need to change if the solution is no x=9?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

8x = 56 - 18
8x = 38
x = 4.75
4.75 = no  \: 6
part b

the right part will become 90
8x(9) + 18 = 90
72 + 18 = 90
90 = 90

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Surface area of a cylinder radius is 2 and height is 3
Lerok [7]

Answer:

62.83 cm squared

Step-by-step explanation:

A = 2πrh+2πr^2

A = 2π(2)(3)+2π(2)^2

A = 2π(6)+2π4

A = 12π+8π

A = 20π

A = 20(3.14)

A = 62.83 cm squared

6 0
3 years ago
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is
Otrada [13]

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

7 0
3 years ago
Which function represents a proportional relationship? A) f(x) = 3x 4 B) f(x) = 3 4x C) f(x) = 3x 4 + 3 4 D) f(x) = 3 4x + 3 4
densk [106]

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Step-by-step explanation:

The equation of a line that passes through the origin is the following:

y=mx

Where "m" is the slope of the line.

By definition, Proportional relationships have the following form:

y=kx

Where "k" is the Constant of proportionality.

Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.

Therefore, based on the explained above, you can conclude that the option that shows a function  that represents a Proportional relationship is the Option B.

Then, this is:

f(x)=\frac{3}{4}x

6 0
3 years ago
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Pavlova-9 [17]

Answer:

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Step-by-step explanation:

98653+41208=

139861

221671-139861=

81810

7 0
3 years ago
a county has an area of 215 square miles if the population density is 34.5 people per square mile what is the population
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7417.5 is the total amount of people in that country 
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