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storchak [24]
3 years ago
12

50 POINTS !! PLEASE HELP ILL GIVE BRAINLIEST !!

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

3.9 miles

Step-by-step explanation:

Use phytagoras theorem

c²=a²+b²

4²=1²+b²

16=1+b²

b²=16-1

b²=15

b=

\sqrt{15}

b= 3.872

≈3.9miles

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8 and 21 to 40 as a decimal
Thepotemich [5.8K]
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8 0
2 years ago
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Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows
koban [17]

Answer:

The amount of Polonium-210 left in his body after 72 days is 6.937 μg.

Step-by-step explanation:

The decay rate of Polonium-210 is the following:

N(t) = N_{0}e^{-\lambda t}     (1)

Where:

N(t) is the quantity of Po-210 at time t =?

N₀ is the initial quantity of Po-210 = 10 μg

λ is the decay constant  

t is the time = 72 d  

The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.    

First, we need to find the decay constant:

\lambda = \frac{ln(2)}{t_{1/2}}    (2)

Where t(1/2) is the half-life of Po-210 = 138.376 days

By entering equation (2) into (1) we have:

N(t) = N_{0}e^{-\frac{ln(2)}{t_{1/2}}*t}} = 10* \frac{99.498}{100}*e^{-\frac{ln(2)}{138.376}*72} = 6.937 \mu g    

Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.  

I hope it helps you!  

8 0
2 years ago
What is the value of x in the solution to the following system of linear equations
Marina CMI [18]

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4 0
3 years ago
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Write an equation that will model the proportional relationships shown in the graph below graph.
wolverine [178]

Answer:

y = 5x

Step-by-step explanation:

you can use the Slope-Intercept form of a line, which is:

y = mx + b  where 'm' is the slope, and 'b' is the y-intercept

to find the slope, select any two points:

we can use (0,0) and (2,10)

now subtract the y-values and the x-values to get this fraction:

slope = 10-0 / 2-0

slope = 10/2 or 5/1

the y-intercept can be seen and is 0

therefore, equation of this line is:

y = 5x + 0 or

y = 5x

7 0
2 years ago
Please Help, Geometry Work due Tomorrow
iren2701 [21]

Answer:

1) x= 7

2)a. x=8, x=1

b.x=4,x=-1

3)(5,2)

Step-by-step explanation:

problem 1:

1) Distribute

4(x-5)=x+1

4x-20=x+1

2) Add 20 to both sides of the equation

4x-20=x+1

4x-20+20=x+1+20

3) Simplify

*Add the numbers

4x=x+21

4) Subtract x from both sides of the equation

4x=x+21

4x-x=x+21-x

5) Simplify

*Combine like terms

3x=21

6) Divide both sides of the equation by the same term.

3x=21

3x/3=21/3

7) Simplify

*Cancel terms that are in both the numerator and denominator

*Divide the numbers

Result: x=7

-------------------------------------

problem 2:

a

1) Use the sum-product pattern

Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.

x²-9x+8=0

2) Factor

* Write your equation in factored form

(x-8)(x-1)=0

3) Create two separate equations

*set each factor equal to 0

x-8=0

x-1=0

4) solve

*rearrange and isolate the variable to find each solution

x=8

x=1

b.

1) move terms to the left side

2x²+7x-4=x²+10x

2x²+7x-4-(x²+10x)=0

2) distribute

2x²+7x-4=x²+10x

2x²+7x-4-x²-10x=0

3) combine like terms

2x²+7x-4-x²-10x=0

1x²+7x-4-10x=0

4) Multiply by 1

1x²+7x-4-10x=0

x²+7x-4-10x=0

5) combine like terms

x²+7x-4-10x=0

x²-3x-4=0

6) Use the sum-product pattern

Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.

x²-3x-4-0

7) Factor

Write your equation in factored form

(x-4)(x+1)=0

8) Create two separate equations

Set each factor equal to zero

x-4=0

x+1=0

9) Solve

Rearrange and isolate the variable to find each solution

x=4

x= -1

-=----------------------

problem 3:

x+4y=13

x-y-3

multiplying this one by -1

x+4y=13

-x+y=-3

0x+5y=10

5y=10

y=10/2

y=2

since we know that

x-y=3

x-(2)=3

x=5

(5,2)

4 0
2 years ago
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