Answer:
Step-by-step explanation:
Derivative indicates rate of change of dependent variable with respect to independent variables. It indicates the slope of a line that is tangent to the curve at the specific point.
Given:
Number of bees is modeled by the function 
The daily high temperature is increasing at a rate of 2 °F per day when the number of bees spotted is 100.
To find:
rate of change of number of bees when 100 bees are spotted
Solution:
Differentiate with respect to t,
Put 
At x = 100,
This expression simplified is 9n^4+8n^3+4
The ounces of chocolate chips used by Mrs Jacob is 70 ounce
<em><u>Solution:</u></em>
Given that Jacob is making several batches of cookies and is using 84 total ounces of chips
Let "c" be the ounces of chocolate chips
Let "p" be the ounces of peanut butter chips
To find: ounces of chocolate chips used by Mrs Jacob
Given that There are 5 times as many ounces of chocolate chips as peanut butter chips
<em><u>Thus we can frame a equation as:</u></em>
ounces of chocolate chips = 5 x ounces of peanut butter chips
c = 5p -------- eqn 1
Jacob used 84 total ounces of chip. Therefore,
ounces of chocolate chips + ounces of peanut butter chips = 84
c + p = 84 ---- eqn 2
Substitute eqn 1 in eqn 2
5p + p = 84
6p = 84
<h3>p = 14</h3>
Substitute p = 14 in eqn 1
c = 5(14) = 70
<h3>c = 70</h3>
Thus the ounces of chocolate chips used by Mrs Jacob is 70 ounce
Answer:
0.74
Step-by-step explanation:
We can isolate x, getting 9.2x - 1.9x = -1 + 6.4
We can then simplify, getting 7.3x = 5.4, which we can solve by dividing both sides by 7.3:
x = 5.4 / 7.3 = 0.74
The correct answer is A. 1
