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Gennadij [26K]
3 years ago
5

Solve for t. t + 6 = 2t t =

Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0

Answer:

t equals 3

Step-by-step explanation

3 plus 6 is 9

2 times 3 is 6, plus 3 is also 9

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160 min or 2.66666667 hours per a week

Step-by-step explanation:

its very simple

40*4=160

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An airplane on autopilot took 5 hours to travel 3,640 kilometers. What is the unit rate for kilometers per hour?
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NEED HELP FOR A TEST, PLEASE :) (30 POINTS)
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Answer:

Hey!

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Step-by-step explanation:

6 0
2 years ago
the equation shows the radius of the algae,f(d), in mm,after d days: f(d)=7(1.06)^d the radius of the algae was approximately 13
Andrei [34K]

Answer:

\begin{gathered} A)\text{ }Domain:\text{ \lparen0,11\rparen} \\ B)\text{ the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.} \\ C)\text{ rate of change= 0.64. This means that on average the algae grows 0.64mm per day.} \end{gathered}

Step-by-step explanation:

If the radius of the algae was approximately 13.29 mm, substitute f(d)=13.29 and solve for d to determine the domain:

\begin{gathered} 13.29=7\left(1.06\right)^d \\ \frac{13.29}{7}=1.06^d \\ d=\frac{\text{ log\lparen13.29/7\rparen}}{\text{ log\lparen1.06\rparen}} \\ d=11 \\ \text{ Then, the domain:} \\ (0,11) \end{gathered}

B. The y-intercept is obtained when d=0, hence;

\begin{gathered} d=0 \\ f(0)=7(1.06)^0 \\ f(0)=7 \end{gathered}

Therefore, the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.

C. Now, to determine the rate of change of a function, use the following equation:

\text{ rate of change=}\frac{change\text{ over y}}{change\text{ over x}}

Then, determine the value of f(4):

\begin{gathered} f(4)=7(1.06)^4 \\ f(4)=8.83 \end{gathered}

Hence, the rate of change on that interval of the function:

\begin{gathered} \text{ rate of change=}\frac{13.29-8.83}{11-4} \\ \text{ rate of change=0.64 } \end{gathered}

This means that on average the algae grows 0.64mm per day.

8 0
1 year ago
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