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tangare [24]
3 years ago
8

In the figure, ΔEFG ≅ ΔLMN. Find the value of x. Then describe the transformation that map ΔEFG onto ΔLMN

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0
What are the measurements of the angles 
 
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If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours
Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

P(t)=P_0e^{kt}

Where, P_0 is the initial value, k is the growth constant and t is the number of years.

Putting P(t)=15000,P_0=3000, k=2.8 in the above formula, we get

15000=3000e^{2.8t}

\dfrac{15000}{3000}=e^{2.8t}

5=e^{2.8t}

Taking ln on both sides, we get

\ln 5=\ln e^{2.8t}

1.609438=2.8t                  [\because \ln e^x=x]

\dfrac{1.609438}{2.8}=t

0.574799=t

t\approx 0.575

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0
2 years ago
Easiest way to calculate 22% mark up from a cost of say 39.99
satela [25.4K]

Answer:

The markup amount on the cost 39.99 $ will be: 8.78 $

Step-by-step explanation:

Given

  • The cost = 39.99 (Let say in $)
  • Mark up = 22%

As

22% = 0.22

The markup of 22% on the cost can be calculated by multiplying the cost by 22% or 0.22

so

Markup amount = 0.22 × 39.99

                           = 8.78 $

Therefore, the markup amount on the cost 39.99 $ will be: 8.78 $

6 0
2 years ago
the tickets for a dance recital cost $5.00 for adults and $2.00 for children. if the total number of tickets sold was 295 and th
alukav5142 [94]
210 adult tickets 
85 children tickets
210 x  $5 = $1,050
85 x $2 = $170
1,050 + 170 =1,220
8 0
3 years ago
Write a word problem based of this equation <br><br> 12p = $2.40
MissTica

Answer:

Lisa bought 12 candies in $2.40. How much did each candy cost her?

Step-by-step explanation:

7 0
3 years ago
Andy buys shoes that are on sale for 25% off the regular price. If the sale price is $36.45, what was the regular price of the s
Anettt [7]
She bought the shoe at a percent of 25
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3 years ago
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