Answer:
The surface area of a rectangular prism with length of
15, a width of 9 and a height of 13 is:
894.0000 square units.
not sure
Step-by-step explanation:
To find the surface area, use this rectangular prism surface area
formula:
Surface Area =
[(Length x Width) + (Length x Height) + (Width x Height)] x 2
Example: The surface area of a rectangular prism with length of
3 inches, width of 4 inches, and height of 5 inches:
Surface Area = [(3 x 4) + (3 x 5) + (4 x 5)] x 2
Calculated out this gives a surface area of 94 Square Inches.
(not the answer example)
Answer:
"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"
Step-by-step explanation:
<u>Complete Question:</u>
A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.
f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily
f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily
f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily
f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily
<u>Solution:</u>
The weekly number of people infected would be:
![f(x)=4(1.15)^x](https://tex.z-dn.net/?f=f%28x%29%3D4%281.15%29%5Ex)
7 days in a week, so daily number of people infected would be:
![f(x)=4(1+r)^{7x}](https://tex.z-dn.net/?f=f%28x%29%3D4%281%2Br%29%5E%7B7x%7D)
To find daily rate, we set these 2 equations equal and solve for r:
![4(1.15)^x=4(1+r)^{7x}\\1.15^x=(1+r)^{7x}\\1.15^x=((1+r)^7)^x\\1+r=1.02\\r=1-1.02=0.02](https://tex.z-dn.net/?f=4%281.15%29%5Ex%3D4%281%2Br%29%5E%7B7x%7D%5C%5C1.15%5Ex%3D%281%2Br%29%5E%7B7x%7D%5C%5C1.15%5Ex%3D%28%281%2Br%29%5E7%29%5Ex%5C%5C1%2Br%3D1.02%5C%5Cr%3D1-1.02%3D0.02)
That is 0.02*100 = 2% daily
2nd answer choice is right.
X=45y
x is distance and y is the time the car goes 45 miles per hour so distance equals 45 times time
Answer:
84%
Step-by-step explanation:
The probability of Thomas bumping into her at school is 80%, so the probability of not bumping into her is 100% - 80% = 20%.
If he doesn't bump into her (20% chance), he will call her, and the probability of asking her in this case is 60%, so the final probability of asking her in this case is:
![P_1 = 20\% * 60\% = 12\%](https://tex.z-dn.net/?f=P_1%20%3D%2020%5C%25%20%2A%2060%5C%25%20%3D%2012%5C%25)
If he bumps into her (80% chance), the probability of asking her is 90%, so the final probability of asking her in this case is:
![P_2 = 80\% * 90\% = 72\%](https://tex.z-dn.net/?f=P_2%20%3D%2080%5C%25%20%2A%2090%5C%25%20%3D%2072%5C%25)
To find the probability of Thomas inviting Madeline to the party, we just have to sum the probabilities we found above:
![P = P_1 + P_2](https://tex.z-dn.net/?f=P%20%3D%20P_1%20%2B%20P_2)
![P = 12\% + 72\% = 84\%](https://tex.z-dn.net/?f=P%20%3D%2012%5C%25%20%2B%2072%5C%25%20%3D%2084%5C%25)