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kaheart [24]
3 years ago
5

Hi, can someone please give me a detailed explanation on how to solve this problem?

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

Step-by-step explanation:

log3^(2x+3) = log243

(2x+3)log3 = log243

2x+3 = log243/log3

2x = (log243/log3)-3

x = [(log243/log3)-3]/2

x = (5-3)/2

x = 2/2

x = 1

Check:

3^2(1)+3 = 243

3^2+3 = 243

3^5 = 243

3×3×3×3×3 = 243

9×9×3 = 243

81×3 = 243

243 = 243

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5-4x(x+2)=9<br> Find rhe X need the whole thing
nadya68 [22]

Answer:

x=-1 hope this helpsss

Step-by-step explanation:

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3 years ago
Erin’s car uses 6 gallons of gas for every 138 miles she drives.which equation could be used to find how many gallons,g, Erin ne
gladu [14]

The equation that could be used to find how many gallons Erin would need to drive 92 miles is 92 = 23g (option c)

<h3>How many gallons is needed to drive 92 miles?</h3>

The first step is to determine the gallons needed to drive 1 mile. To do this, divide the  6 gallons by 138 miles. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

Gallons needed for 1 mile = 6/138

In order to determine the gallons needed for 92 miles, multiply the ratio gotten in the previous step by 92

(6/138) x 92 = 4 gallons

The option that gives 4 gallons is : 92 = 23g

g = 92 / 32 = 4

To learn more about division, please check: brainly.com/question/13281206

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4 0
2 years ago
The cylinder above has a radius of 5 inches and a height of 12 inches. What is the surface of the cylinder above?
Ipatiy [6.2K]

Answer:

I think its b

Step-by-step explanation:

A=2πrh+2πr2=2·π·5·12+2·π·52≈534

5 0
3 years ago
The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n,
Sindrei [870]

Given:

Area of rectangle = 6n^4+20n^3+14n^2

Width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,14n^2.

To find:

Length and width of the rectangle.

Solution:

Width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,14n^2 is

6n^4=2\times 3\times n\times n\times n\times n

20n^3=2\times 2\times 5\times n\times n\times n

14n^2=2\times 7\times n\times n

Now,

GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2

So, width of the rectangle is 2n^2.

Area of rectangle is

Area=6n^4+20n^3+14n^2

Taking out GCF, we get

Area=2n^2(3n^2+10n+7)

We know that, area of a rectangle is the product of its length and width.

Since, width of the rectangle is 2n^2, therefore length of the rectangle is (3n^2+10n+7).

5 0
3 years ago
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