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$quizizz.com/join/game/U2FsdGVkX18ZGorQoo1IBNwuuEvbQo%2B0wmVInYz7SGug9q|Y%2BRZ8LpkdAUrvsRTd40pcTO8%2FrY88Z1i3%2FIp2Ig%3D%3D?ga... 18//90 Kelly made fruit punch to serve at a party for her chess team. She mixed 12//5 liters of cranberry juice and 13//5 liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions. |Type your answer...$

quizizz.com/join/game/U $2$ FsdGVkX $18$ ZGorQoo $1$ IBNwuuEvbQo\% $252$ B $0$ wmVInYz $7$ SGug $9$ q|Y\% $252$ BRZ $8$ LpkdAUrvsRTd $40$ pcTO $8$ \% $252$ FrY $88$ Z $1$ i $3$ \% $252$ FIp $2$ Ig\% $253$ D\% $253$ D?ga... $\newline$ $18 / 90$ $\newline$ Kelly made fruit punch to serve at a party for her chess team. She mixed $12 / 5$ liters of cranberry juice and $13 / 5$ liters of pineapple juice together. Then, she split the fruit punch evenly among $9$ glasses. How much fruit punch did Kelly pour into each glass? $\newline$ Write your answer as a whole number, fractions" target="_blank" class="backlink">fraction, or mixed number. Simplify any fractions. $\newline$ |Type your answer...

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Average rate of change I

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More problems from Average rate of change I

Question

Consider the curve given by the equation

x y^{2}+5 x y=50

. It can be shown that

\frac{d y}{d x}=\frac{-y(y+5)}{x(2 y+5)} \text {. }

\newline

Write the equation of the vertical line that is tangent to the curve.

Posted 5 months ago

Question

What is the value of

\frac{d}{d x}\left(x^{-3}\right)

x=3

Posted 7 days ago

Question

The rate of change

\frac{d P}{d t}

of the number of algae in a tank is modeled by the following differential equation:

\newline

\frac{d P}{d t}=\frac{2317}{10614} P\left(1-\frac{P}{662}\right)

\newline

t=0

, the number of algae in the tank is

174

and is increasing at a rate of

28

algae per minute. At what value of

P

P(t)

growing the fastest?

\newline

Posted 6 months ago

Question

The rate of change

\frac{d P}{d t}

of the number of bacteria in a tank is modeled by the following differential equation:

\newline

\frac{d P}{d t}=\frac{2}{9849} P(598-P)

\newline

t=0

, the number of bacteria in the tank is

196

and is increasing at a rate of

16

bacteria per minute. At what value of

P

does the graph of

P(t)

have an inflection point?

\newline

Posted 6 months ago

Question

The rate of change

\frac{d P}{d t}

of the number of people infected by a disease is modeled by the following differential equation:

\newline

\frac{d P}{d t}=\frac{45}{125404} P(800-P)

\newline

t=0

, the number of people infected by the disease is

214

and is increasing at a rate of

45

people per hour. What is the limiting value for the total number of people infected by the disease as time increases?

\newline

Posted 6 months ago

Question

The exponential function

f

is graphed in the

x y

x

1, y

increases by a factor of

3

. Which of the following could be

f

\newline

1

\newline

f(x)=\left(\frac{1}{3}\right)^{x}

\newline

f(x)=\left(\frac{1}{3}\right)^{x}+3

\newline

f(x)=3^{x}+2

\newline

f(x)=2(3)^{x}

Posted 3 days ago

Question

Which of the following is a correct interpretation of the expression

\newline

-4+13

\newline

1

\newline

(A) The number that is

4

-13

on the number line

\newline

(B) The number that is

4

to the right of

-13

on the number line

\newline

(C) The number that is

13

-4

on the number line

\newline

(D) The number that is

13

to the right of

-4

on the number line

Posted 6 months ago

Question

f

f(x)=x^{3}+2 \sin (3 x-3)

. Use a calculator to write the equation of the line tangent to the graph of

f

x=0.5

. You should round all decimals to

3

\newline

Posted 6 months ago

Question

f

f(x)=x^{2}-2 x+3 \cos \left(x^{2}-x\right)

. Use a calculator to write the equation of the line tangent to the graph of

f

x=-2.5

. You should round all decimals to

3

\newline

Posted 6 months ago

Question

f

f(x)=x^{2}+x-2 \sin (2 x)

. Use a calculator to write the equation of the line tangent to the graph of

f

x=3

. You should round all decimals to

3

\newline

Posted 6 months ago

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