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3 years ago

Please help me solve this 5^2x=7^x+1

Mathematics

2 answers:

denis23 [38]3 years ago

7 0

Answer:

$x=\frac{ln7}{2ln5-ln7}$

Step-by-step explanation:

5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7

⇔ x = ln7/(2ln5-ln7)

Mnenie [13.5K]3 years ago

5 0

It’s gonna translate to 25x=7x+1
so then 18x=1

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Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multip

defon

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

$4\text{ quarts}=1\text{ gallon}$

$1\text{ quarts}=\dfrac{1}{4}\text{ gallon}$

$6\text{ quarts}=\dfrac{6}{4}\text{ gallon}$

Here, 6 quarts is equal to $\dfrac{6}{4}$ gallon. It means we need to multiply 6 by 4 in $4\text{ quarts}=1\text{ gallon}$ to find the answer.

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3 years ago

Can you answer this for me plssss 0.5(r+2.75)=3

lora16 [44]

Step-by-step explanation:

0.5 ( r + 2.75 ) = 3

r + 2.75 = 3 / 0.5

r + 2.75 = 6

r = 6 - 2.75

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4 0

4 years ago

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Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360

Natasha2012 [34]

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$\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]$

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

$\rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]$

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3 years ago

A basketball player attemps 15 free throws in a game. He makes 9 of the attempted free throws. Which ratio describes the number

Ber [7]

Answer:

1) 3: 5

Step-by-step explanation:

Hope this helps!!! :)

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4 years ago

WORTH 100 POINTS!

zzz [600]

Answer:

7miles

equations shown in work image below

work shown on the paper with more explanations because text is hard to write equations (sorry I used km but it is miles for your problem.)

:) please give a heart for thanks

and brainliest crown :)

Step-by-step explanation:

For both d=r*t

Each bikes to others house and leave at the same time so for Tony,

11 = 30*t

t= 11/30 hours

for Gerry,

11 = 25*t

t= 11/25 hours

Comparing these, with LCD,

Tony's time is 55/150

Gerry's time is 66/150

So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.

Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.

We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150

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3 years ago

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