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Viktor [21]
3 years ago
12

Carlos has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite

, and third favorite bands from the list. How many different votes are possible?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0

Answer:

25

Step-by-step explanation:


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Solve the equation. Round to the nearest hundredth. Show work.
Burka [1]

Answer:

x=-0.75

Step-by-step explanation:

The given equation is

4^{-5x-7}=6^{2x-1}

We take logarithm of both sides to base 10.

\log(4^{-5x-7})=\log(6^{2x-1})

(-5x-7)\log(4)=(2x-1)\log(6)

We expand the brackets to get;

-5x\log(4)-7\log(4)=2x\log(6)-\log(6)

Group similar terms;

-7\log(4)+\log(6)=2x\log(6)+5x\log(4)

-7\log(4)+\log(6)=(2\log(6)+5\log(4))x

\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x

x=-0.752478

To the nearest hundredth.

x=-0.75

3 0
3 years ago
Nathan read 2 books in 10 months. What was his rate of reading in books per month
Novay_Z [31]
<h2>Answer:</h2><h2>The rate of reading a book per month = \frac{1}{5} = 20%</h2>

Step-by-step explanation:

Nathan read 2 books in 10 months.

The time taken to complete 1 book = \frac{10}{2} = 5 months

To complete 1 book it takes 5 months.

The rate of reading a book per month = \frac{1}{5} = 20%

4 0
3 years ago
A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0
3 years ago
Read 2 more answers
What’s the measure of
pantera1 [17]
What’s the rest of the question
4 0
3 years ago
Read 2 more answers
Please help me !! thank you all
Finger [1]
Ok so basically.... 15^2= 9^2+ x^2

15*15

225= 81+x
-81. -81

144=x^2

12=X

Im pretty sure it’s right!
I used the formula A^2+B^2=C^2
8 0
2 years ago
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