4 years ago

What is the expanded form for 309,603,114

1 answer:

7 0

300,000,000 +0 +9,000,000 +600,000 +0 +3,000 +100 +10 +4

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How to solve...John made 70% of his baskets in basketball. He made 105 baskets. How many total baskets did he make?

quester [9]

105 ÷ 70 = 1.5
1.5 * 30 = 45
105 + 45 = 150 total shots

7 0

4 years ago

Yesterday at 4pmn, I was 95 degrees outside. Every hour after that, the temperature dropped 3 degrees. What was the temperature

natulia [17]

Answer:

83 degress

Step-by-step explanation:

We know that every hour it dropped 8 degress. If it dropped from 4pm to 8pm, that means it dropped 4 times. 3x4=12 so we do 95-12 which equals 83.

6 0

4 years ago

E^(8x)+e^(-x) find the interval on which f is increasing

saveliy_v [14]

Assuming ya mean
$f(x)=e^{8x}+e^{-x}$
take derivitive
remember dy/dx e^x=e^x
also the chain rule

so
$f'(x)=8e^{8x}+-1e^{-x}$
find where it equals 0
$0=8e^{8x}+-e^{-x}$
$e^{-x}=8e^{8x}$
multiply both sides by e^x
$1=8e^{9x}$
divide both sides by 8
$\frac{1}{8}=e^{9x}$
take ln of both sides
$ln(\frac{1}{8})=ln(e^{9x})$
$ln(\frac{1}{8})=9x$
divide both sides by 9
$\frac{ln(\frac{1}{8})}{9}=x$

x≈-1/5
f'(-1)<0
f'(0)>0

so it is increasing from x to infinity

the interval it is increasing on is $(\frac{ln(\frac{1}{8})}{9}, \infty)$