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3 years ago

4*10^(-3x)=18 Express the solution as a logarithm in base-101010.

Mathematics

1 answer:

Kobotan [32]3 years ago

4 0

Answer:

Hi how are you doing today Jasmine

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Find the value of x: 7e(×/3)=14

velikii [3]

<span>7e^(×/3)=14
</span><span>e^(×/3)=14/7
</span>e^(×/3)=2
take ln of both sides;
lne^(×/3)=ln2
****You should be familiar that lne^x=x as ln is the inverse function of e and vice versa****
then;
x/3=ln2
x=3ln2
x approximately is equal to 2.1

6 0

3 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago

A survey of 100 high school students provided this

HACTEHA [7]

Answer:

35/100

Step-by-step explanation:

You have to find how many juniors there are, so if you add 13, 20, and 2 you get 35. For the denominator you have to find the total number of students, so just add all of the numbers together to get 100. So there is a 35/100 chance that a randomly selected student is a junior.

5 0

2 years ago

marc had 6n marbles. he gave 9 marbles to each of his cousins and had 4n marbles left. find how many cousins marc had in terms o

Vilka [71]

Answer:

9c=2n

Step-by-step explanation:

6n-9c=4n.

9c=2n

3 0

2 years ago

Read 2 more answers

the expression 42 plus 57 shows how much money Nate spent at a store .which expression also shows how much money Nate spend

ArbitrLikvidat [17]

Answer:

66+33

Step-by-step explanation:

42+57= 99

__________

My expression

66+33= 99

Hope this helps!

-Payshence

8 0

3 years ago