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LekaFEV [45]
3 years ago
7

Solve the following equation by using properties of logarithms. 500 / (1 + e^-5x) = 300

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Step-by-step explanation:

in the 6 th process I've used natural logarithm ln and ln(e)=1.

if the answer is required in decimal u can substitute the value in calculator.

hope it helps

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There are 35 females performed in a dance recital.The ratio of men to women is 3 : 8. How many men are in the dance recital
Ipatiy [6.2K]

Answer:

13 or 13.125 you have to look at your notes to see which it is. Personally I would take 13. Try that first.

Step-by-step explanation:

Be careful how you interpret this question. It reads like this.

3:8 :: x:35

In other words, the 8 and 35 females goes together.

Set this up as a proportion

3/8 = x / 35  Cross multiply

3*35 = 8x     Combine the left

105 = 8x       Switch

8x = 105        Divide by 8

x = 105 / 8     get the answer

x = 13.125       You cannot have 1/8 of a person. So what are you going to do?

You have to round down. x = 13. How close is this

13/35 = 0.371 as apposed to 0.375 which is what 3/8 is.


8 0
3 years ago
A kitchen assistant knocked over a cooling rack and spilled 12% of the cookies onto the floor Francesca had
Tcecarenko [31]
300 cookies because 36/.12=300.
4 0
3 years ago
kathryn bought an aquarium to replace her fishbowl.The directions for the aquarium say that it should be filled with 9 cubic fee
lesya [120]

The water should fill the aquarium to 1.5 feet

Solution:

Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.

This means volume of aquarium is 9 cubic feet

Given that aquarium is 2 feet wide and 3 feet long

To find: Height of aquarium

Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula

<em><u>The volume of cuboid is given as:</u></em>

volume of cuboid = l \times w \times h

Where "l" is the length

w is the width

"h" is the height

Substituting the values, we get,

9 = 3 \times 2 \times h\\\\9 = 6 \times h\\\\h = \frac{9}{6} = 1.5

Thus the height of aquarium is 1.5 feet

7 0
3 years ago
Tickets for a concert cost 90$ plus a 5% fee.what is the final cost of the concert ticket?
I am Lyosha [343]

Answer:

$94.50

Step-by-step explanation:

5% × 90 = 4.5

=> 90 + 4.5 = 94.5

4 0
3 years ago
Larry bought 12 1/2 pounds of candy to share with his friends. If he gave 2 1/2 pounds to each of his friends how many friends d
choli [55]
He had 5 friends to share it the 12 1/2 pounds. 12 1/2 divided into 5 is 2 1/2
7 0
3 years ago
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