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Aleksandr-060686 [28]

2 years ago

13

Which expression is equivalent to log29x ?

2 answers:

yarga [219]2 years ago

8 0

Answer:

$log_29 +3log_2x$

Step-by-step explanation:

$log_29x^3 \\ = log_29 +log_2x^3 \\ = log_29 +3log_2x \\ \huge \red{= log_29+3log_2x}\\$

atroni [7]2 years ago

7 0

The answer would be the first option.

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Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The ac

Serga [27]

Answer:

C

Step-by-step explanation:

5 0

2 years ago

A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

2 years ago

In the last election 60% of the class members voted if the class has 120 members how many members voted in the last election

IgorLugansk [536]

Answer:

72 students

Step-by-step explanation:

1. change 60% to decimal= 0.6

2. multiply 0.6 by 120

3. 72

6 0

2 years ago

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saw5 [17]

Answer:

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Step-by-step explanation:

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2 years ago

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A class of 40 students has 11 students who ride the bus and 10 students who are in the band. Three of the students who ride the

Alexxandr [17]

The denominator is 40
10-3=7 (number of students in the band who do not ride the bus)
7/40=0.175
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