Answer:
t= 24.75 days
Step-by-step explanation:
Here A(t) is the amount of the element that remains after some time. So they tell us that find the time it takes to basically have 4 grams remaining so A(t) = 4
4 = 10 * 0.5 ^ (t/18.72)
0.4= 0.5 ^ (t/18.72)
t= 24.75 days
Answer should make sense because half life is around 18 days which means to go from 10 g to 5g would be somewhere around 18 days but we are going to 4 g so it takes more days
Answer:
180 Square Feet
Step-by-step explanation:
For Rectangle:
l = 9 ft
b = 20 ft
Area of Rectangle
Answer:
see explanation
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 3 ) → (- 3, 3 )
(3, 4 ) → (- 4, 3 )
(5, 3 ) → (- 3, 5 )
- Measure of angle C = 100°
- Measure of angle A = 40°
- We know, sum of all angles of a triangle is 180°.
- Therefore, the measure of angle B
= [180 - (100 + 40)]° = 40°
- When two angles of a triangle are equal, then the triangle is isosceles.
- Here, the measure of angle A and B are equal, i.e., 40°
- So, ∆ABC is an isosceles triangle.
<u>Answers:</u>
- <u>4</u><u>0</u><u>°</u>
- <u>Yes</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
So basically function of m (f(m) or in this case C(m)) means the price
so just input the value you put for m for all the other m's in the problem
ex. if you had f(x)=3x and you wanted to find f(4) then you replace and do f(3)=3(4)=12 so f(3)=12 and so on
A. cost of 75 sewing machines
75 is the number you replace m with
C(75)=20(75)^2-830(75)+15,000
simplify
20(5625)-62250+15000
112500-47250
65250
the cost for 75 sewing machines is $65,250
B. we notice that in the equation, that the only negative is -830m
so we want anumber that will be big enough to make -830m destroy as much of the other posities a possible
-830m+20m^2+15000
try to get a number that when multiplied by 830, is almost the same amount as or slightly smaller than 20m2+15000 so we do this
830m<u><</u>20m^2+15000
subtract 830m from both sides
0<u><</u>20m^2-830m+15000
factor using the quadratic equation which is
(-b+ the square root of (b^2-4ac))/(2a) or (-b- the square root of (b^2-4ac))/(2a)
in 0=ax^2+bx+c so subsitute 20 for a and -830 for b and 15000 for c
you will get a non-real result I give up on this meathod since it gives some non real numbers so just guess
after guessing and subsituting, I found that the optimal number was 21 sewing machines at a cost of 6420
