Answer:
36 ounces
Step-by-step explanation:
1. Multiply the amount of cranberry juice Gloria pours into the container (2.25) by 9 seconds.
2.25 x 9
= 20.25
2. Add the amount of cranberry juice (20.25) to the amount of orange juice (15.75) to find how many ounces of fruit punch are in the container after 9 seconds.
20.25 + 15.75
= 36
Hope this helped :)
Answer:
The population will reach 20,400 after 6 years.
Step-by-step explanation:
Exponential function:
![y(t)=y_0(1+r)^t](https://tex.z-dn.net/?f=y%28t%29%3Dy_0%281%2Br%29%5Et)
y(t)= Population after t years
= initial population
r= rate of grow
t= time.
A town has a population of 17,000 and grows at a rate 3% every year.
y(t)= 20,400,
= 17,000, r=3%=0.03, t=?
![20,400=17,000(1+0.03)^t](https://tex.z-dn.net/?f=20%2C400%3D17%2C000%281%2B0.03%29%5Et)
![\Rightarrow \frac{20,400}{17,000}=(1.03)^t](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B20%2C400%7D%7B17%2C000%7D%3D%281.03%29%5Et)
![\Rightarrow \frac{102}{85}=(1.03)^t](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B102%7D%7B85%7D%3D%281.03%29%5Et)
Taking ln function both sides
![\Rightarrow ln|\frac{102}{85}|=ln|(1.03)^t|](https://tex.z-dn.net/?f=%5CRightarrow%20ln%7C%5Cfrac%7B102%7D%7B85%7D%7C%3Dln%7C%281.03%29%5Et%7C)
![\Rightarrow ln|\frac{102}{85}|=t\ ln|(1.03)|](https://tex.z-dn.net/?f=%5CRightarrow%20ln%7C%5Cfrac%7B102%7D%7B85%7D%7C%3Dt%5C%20ln%7C%281.03%29%7C)
![\Rightarrow t=\frac{ln|\frac{102}{85}|}{\ ln|(1.03)|}](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D%5Cfrac%7Bln%7C%5Cfrac%7B102%7D%7B85%7D%7C%7D%7B%5C%20ln%7C%281.03%29%7C%7D)
⇒ t = 6 year.
The population will reach 20,400 after 6 years.
Answer:
1) -2/3
2) 7/60
3) -11/10
4) 37/24
Step-by-step explanation: calculator
Answer:
Which plant was taller when Nara got the plants? C. They were equally tall
Which plant grew faster? B. The second plant
Step-by-step explanation:
Slope of the first plant :
m = (y2 - y1)/(x2- x1)
m = (36 - 34)/(15 - 10) = 0.4
y-intercept of the first plant :
y = m*x + b
b = y1 - m*x1
b = 34 - 0.4*10 = 30
From the picture we can see that the y-intercept of the second plant is 30 cm
Y-intercept represents plant heights when Nara got the plants; then they were equally tall
From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1
Slope measures how fast each plant grew; then the second plant grew faster
Answer:
There are 52 cards in a deck. Four kings and 13 clubs. So the probability of choosing a king or a club is 17/52. The probability that it's both a king and a club is 1/52 because it's only one king that's a club. Hence for drawing a card from a deck, each outcome has probability 1/52. The probability of an event is the sum of the probabilities of the outcomes in the event, hence the probability of drawing a spade is 13/52 = 1/4, and the probability of drawing a king is 4/52 = 1/13.
Step-by-step explanation: