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inna [77]
3 years ago
6

Solve for the variable x - 9 = 11

Mathematics
2 answers:
Strike441 [17]3 years ago
3 0

Answer:

20

Step-by-step explanation:

x - 9 = 11

+9         +9

x = 20

Sergeu [11.5K]3 years ago
3 0
The answer will be x=20

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An element with a mass of 550 grams decays by 18.8% per minute. To the nearest minute, how long will it be until there are 60 gr
dmitriy555 [2]

Answer:  11

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

 

a=\text{starting value = }550

a=starting value = 550

r=\text{rate = }18.8\% = 0.188

r=rate = 18.8%=0.188

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.188=0.812

b=1−r=1−0.188=0.812

\text{Write Exponential Function:}

Write Exponential Function:

y=550(0.812)^x

y=550(0.812)  

x

 

Put it all together

\text{Plug in y-value:}

Plug in y-value:

60=550(0.812)^x

60=550(0.812)  

x

 

\frac{60}{550}=\frac{550(0.812)^x}{550}

550

60

​  

=  

550

550(0.812)  

x

 

​  

 

Divide both sides by 550

0.109091=0.812^x

0.109091=0.812  

x

 

\log 0.109091=\log 0.812^x

log0.109091=log0.812  

x

 

Take the log of both sides

\log 0.109091=x\log 0.812

log0.109091=xlog0.812

use power rule to bring x to the front

\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}

log0.812

log0.109091

​  

=  

log0.812

xlog0.812

​  

 

Divide both sides by log(0.812)

10.638757=x

10.638757=x

x\approx 11

x≈11

5 0
4 years ago
What geometric<br> constructions can have a<br> perpendicular bisector?
Andrews [41]

Answer:

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

5 0
3 years ago
What is the value of x in the equation 2x+7=1
Lesechka [4]
First....we need to do inverse operation

Subtract 7 from both sides.

2x+7=1
    -7   -7

2x=-6

Now, we need to divide 2 by both sides to isolate x.

2x=-6
2x/2=-6/2
x=-3

Our final answer is that x= -3
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Answer:

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Step-by-step explanation:

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3 years ago
Liz works as a lifeguard at her community pool and at the beach. On Saturday, she worked at the pool for 6 hours and earned $46.
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She earned 25 cents more at the pool than at the beach
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