Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
Answer:
x = -2/3
Step-by-step explanation:
27 ^(x+2) = 81
Rewrite 27 as a power of 3
27 = 3^3
Rewrite 81 as a power of 3
3^4
3^3^(x+2) = 3^4
We know that a^b^c = a^(b*c)
3^3*(x+2) = 3^4
3^(3x+6) = 3^4
The bases are the same so the exponents are the same
3x+6 = 4
Subtract
6 from each side
3x+6-6 =4-6
3x = -2
Divide by 3
3x/3 =-2/3
x = -2/3
Answer:
it will take 8 weeks for the bacteria to reach 16,000
Step-by-step explanation:
week 1: 125
week 2: 250
week 3: 500
week 4: 1000
week 5: 2000
week 6: 4000
week 7: 8000
week 8: 16000
hope this helps :)
Answer:
8 x = 60.10251159
9 x = 3.66062978
Step-by-step explanation:
Hey There!
So to answer these questions we need to use the Law of sines
Consider the following image
So to find x in number 8 we setup an equation

now we solve for x
step 1 multiply each side by sin 90
now we have

if you plug the equation in a calculator you get that
x=60.10251159
<u>( make sure if it says to round to the nearest.... that you round before entering your answer)</u>
For number 9 the equation would be

now we solve for x
step 1 multiply each side by sin 24
now we have

if you plug this into a calculator you get that
x = 3.66062978
<u>(once again if it says to round to the nearest... make sure you round before you put in your answer.)</u>
Answer:
Option (2)
Step-by-step explanation:
The angle opposite the shortest side is the smallest and the angle opposite the longest side is the largest.
Since m is greater than or equal to 6, we know that:
2m+3 > m+8 > m-3