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mrs_skeptik [129]
2 years ago
13

Solve for y in 1/8^2-3y=2^y-2

Mathematics
1 answer:
Goshia [24]2 years ago
3 0

The value of y is 2.33924.

<h3>What is equation?</h3>

An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.

Given:

(1/8)²-3y = 2^{y}-2

1/64 - 3y =  2^{y}-2

1/64+ 2 =  2^{y}+3y

129/2 =  2^{y}+3y

Taking log on both side

log 129 - log 2 = y log 2 + 3 log y

2.11 - 0.301 = 0.301 y + 3 log y

1.809 = 0.301 y + 3 log y

1.809/3= 0.1 y + log y

0.603 = 0.1 y + log y

y = 10^{\frac{603-100y}{1000}}

y= 2.33924

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

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What is the y intercept of a line that passes through (1,-7) and (5,-25). How do I find it.
LUCKY_DIMON [66]

Answer:

y- intercept = - 2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)

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y = - 4.5x + c

To find c substitute either of the 2 points into the equation

Using (1, - 7), then

- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5

y- intercept c = - 2.5

3 0
3 years ago
Can someone help me please!??
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From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's ho
maksim [4K]

The distance from Dan's house to Samuel's house is 4 km

The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.

Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km

Pythagoras theorem shows the relationship between the lengths of a right angled triangle.

Using Pythagoras theorem:

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Hence the distance from Dans house to Samuel's house is 4 km

Find out more at: brainly.com/question/21846482

4 0
3 years ago
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