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natta225 [31]
3 years ago
8

by 14 1 4 each week for a number of weeks, w . He writes the expression 20(14) 20 ( 1 4 ) w to find the amount of radioactive su

bstance remaining after w weeks. Autumn starts with 5 5 milligrams of a radioactive substance. The amount of the substance decreases by 50% 50 % each week for a number of weeks, w . She writes the expression (1−0.5) ( 1 - 0 . 5 ) w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Nick's and Autumn's expressions mean.
Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

Answer:

1/2 ^w : decay factor after w weeks

hope this helps

Step-by-step explanation:


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Which graph represents the solution set to the system of inequalities? Please help thank you!
Greeley [361]

Answer:

bottom left graph should be correct

6 0
3 years ago
A mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.
Ainat [17]

Answer:

The height above sea level at <em>B</em> is approximately 1,604.25 m

Step-by-step explanation:

The given length of the mountain railway, AB = 864 m

The angle at which the railway rises to the horizontal, θ = 120°

The elevation of the train above sea level at <em>A</em>, h₁ = 856 m

The height above sea level of the train when it reaches <em>B</em>, h₂, is found as follows;

Change in height across the railway, Δh = AB × sin(θ)

∴ Δh = 864 m × sin(120°) ≈ 748.25 m

Δh = h₂ - h₁

h₂ = Δh + h₁

∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m

The height above sea level of the train when it reaches <em>B</em> ≈ 1,604.25 m

4 0
2 years ago
On January 16 the temperature in Boston was -8 degrees at 4:00am and it when began to rise 3degrees every hours. What was the te
ANTONII [103]

Answer:

22 degrees

Step-by-step explanation:

6 0
3 years ago
Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to g
Vaselesa [24]
The complete question in the attached figure 

step 1
find the tree height for an angle of elevation of 55°<span> 
tan 55</span>°=opposite side angle 55°/adjacent side angle 55°
opposite side angle 55°=the tree height h1
adjacent side angle 55°=10 ft
so
tan 55°=h/10-------> h=10*tan 55°-----> h=14.28 ft

step 2
find the tree height for an angle of elevation of 75° 
tan 75°=opposite side angle 75°/adjacent side angle 75°
opposite side angle 75°=the tree height h2
adjacent side angle 75°=10 ft
so
tan 75°=h2/10-------> h2=10*tan 75°-----> h2=37.32 ft

therefore

<span>the height of the tree is within the range [14.26,37.32]
</span>
Part 1) 4.2 ft

<span>the value is not in the interval [14.26,37.32]
therefore
 it is </span>Not Reasonable

Part 2) 14.7 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 3) 24.4 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 4) 33.9 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 5) 39.1ft

the value is not in the interval [14.26,37.32]
therefore
 it is Not Reasonable

Part 6) 58.7 ft

the value is not in the interval [14.26,37.32]
therefore
 it is Not Reasonable

4 0
3 years ago
Find the mean and range. 18 23 10 39 22 17 16 15
stepan [7]

Answer:

Hey there the answer to your question will be below

Step-by-step explanation:

Mean=20

Range=29

___________________________________________________

Range:

Xmas = 39 and Xmas = 10

39-10=29

____________________________________________________

Mean:

160/8 = 20

Hope that helps!

By: xBrainly

7 0
3 years ago
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