Answer:
h=-4
Step-by-step explanation:
Use the Distributive law:
1. -3(h+5) gives us -3h-15 then you add your two(2).
the whole of your left side of the equation will give you -3h-13
2. 4(h+6) gives us 4h+24 then you subtract nine(9).
the whole of the right side of the equation will give you 4h+15
3. equate the two like this:
-3h-13=4h+15
4. group like terms of each side:
-13-15=4h+3h
5. Add and Subt<u>r</u>act
-28=7h
6. Decide both sides by 7 to make h the subject of the formula
7. Congratulations you got your answer as h=-4
A half-life of the isotope is 15 days and at start its mass is 32 g.
A table:
t: m:
0 32 g
15 16 g
30 8 g
45 4 g
60 2 g
75 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used a geometric sequence ( a 1 = 32, r = 1/2 )
Answer:
The standard deviation of the sampling distribution of sample means would be 0.8186.
Step-by-step explanation:
We are given that
Mean of population=23.2 pounds
Standard deviation of population=6.6 pounds
n=65
We have to find the standard deviation of the sampling distribution of sample means.
We know that standard deviation of the sampling distribution of sample means
=
Using the formula
The standard deviation of the sampling distribution of sample means
=
Hence, the standard deviation of the sampling distribution of sample means would be 0.8186.
Answer:
The option B is the correct answer. 79.18 m²
Step-by-step explanation:
Surface area = Base area + Lateral surface area
Area of triangle = bh/2
b - base and h - height
<u>To find the base area</u>
We can consider the base is a hexagon.
A regular hexagon is a combination of 6 equilateral triangle
Base area = 6 * area of triangle
base b = 3
<u>To find the height</u>
h =√[(6.2)² - (5.6)₂] = 2.7
Area of triangle bh/2 = (3 * 2.7)/2 = 3.99
Area of base = 23.95
To find lateral surface area
Lateral surface area = 6 * area of triangle
Area of triangle = bh/2 =(3 *6.2)/2 = 9.3
Lateral surface area = 6 * 9.3 = 55.8
<u>To find the total surface area </u>
Total surface area = Base area + lateral surface area = 23.95 + 55.8
= 79.75 m²
Therefore the option B is the correct answer. 79.18 m²
Answer:
2(47m^3-16n^3)
Step-by-step explanation:
