Answer: ln ( 40) *100
Step-by-step explanation:
Substituting 140 in the equation,
140 = 100 + e^(.01q)
40 = e^(.01q)
Take the natural log of bot hsides
ln ( 40) = .01q
q= ln ( 40 ) * 100
The following answer is B because it shows that it has to multiply the x - axis by the slope (5) to make sure that it can be equat to the y - axis.
y = 5x
y =5(16)
y = 80
(x, y) = (16, 80)
The surface area of a shape is the amount of space on the shape
When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area
<h3>How to determine the surface area</h3>
The surface area of a rectangular prism is:
When quadrupled, we have:
Factor out 16
Substitute
The above means that:
The new surface area would be 16 times the initial surface area
Read more about surface areas at:
brainly.com/question/24571594
Answer:
3boxes
Step-by-step explanation:
1st we should know the number of cookies
7*5=35
Divide the total of cookies to cookies per box 35/12=2 11/12
2 boxes and 11 cookies remaning (they need an extra box)= 3 boxes
Answer:
(n-2) • (4n+3)
Step-by-step explanation:
4n2-5n-6
Final result :
(n - 2) • (4n + 3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22n2 - 5n) - 6
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4n2-5n-6
The first term is, 4n2 its coefficient is 4 .
The middle term is, -5n its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4n2 - 8n + 3n - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
4n • (n-2)
Add up the last 2 terms, pulling out common factors :
3 • (n-2)
Step-5 : Add up the four terms of step 4 :
(4n+3) • (n-2)
Which is the desired factorization
Final result :
(n - 2) • (4n + 3)
