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ioda
2 years ago
7

Which is the solution to 5^x=8^x-7

Mathematics
1 answer:
Levart [38]2 years ago
3 0

Answer:

C) 30.9702

Step-by-step explanation:

Take log of both sides:

In5^x = In8^x - 7

Rewrite it using the laws of log:

xIn5 = (x - 7)In8

x / (x - 7)  =  ln 8 / ln 5

x / (x - 7) = 1.292

x = 1.292x - 9.044

1.292x - x = 9.044

x = 9.044 / 0.292

Thus, x = 30.9702

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10 to the second power=100
74.75/100= .7475
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Find the distance travelled by Rubina if she takes 4 rounds of rectangular park whose length and breadth is 45m and 30m
ANTONII [103]
  • Length (l) = 45 m
  • Breadth (b) = 30 m
  • We know, perimeter of a rectangle = 2(length + breadth)
  • Therefore, perimeter of the rectangle
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<u>Answer:</u>

<em><u>The </u></em><em><u>distance </u></em><em><u>travelled</u></em><em><u> </u></em><em><u>by </u></em><em><u>Rubina </u></em><em><u>is </u></em><em><u>6</u></em><em><u>0</u></em><em><u>0</u></em><em><u> </u></em><em><u>m.</u></em>

Hope you could get an idea from here.

Doubt clarification - use comment section.

5 0
2 years ago
What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1"
frosja888 [35]

Multply both sides of the equation by 7.

\dfrac{x}{7}\cdot 7=\dfrac{4}{5}\cdot 7\\\\x=\dfrac{28}{5}=5.6

_____

When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.

In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.

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3 years ago
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Pavel [41]

Answer:

RS=5 TRUE

RS=4 FALSE (it’s 5)

ST=10 FALSE (it’s 8)

QR=4 FALSE (its 3)

Step-by-step explanation:

First, we have to determine the sides of the triangle.

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4x-2x=1+3

2x=4

x=2

SO, RS=4x-3=4(2)-3=8-3=5

RT=2(x)+1=2(2)+1=5

QR=4²+b²=5².    16+b²=25.    b²=25-16.    b²=9.     b=3

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RS=5 TRUE

RS=4 FALSE (it’s 5)

ST=10 FALSE (it’s 8)

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Answer:

A

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We do the opposite.

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