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Lina20 [59]
3 years ago
5

Charmaine is participating in a 6-day cross-country biking challenge. She biked for 46,63, 54, 70, and 60 miles on the first fiv

e days. How many miles does she need to bike on the last day so that her average (mean) is 59 miles per day?
Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

61 miles.

Step-by-step explanation:

For to get a mean of 59 the total miles must be 6 * 59 = 354.

Total for 5 days =  46+63+54+70+60 = 293

So on te last day she must bike 354-293 = 61 miles.

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A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13
charle [14.2K]

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that P(0) = 5000

So

P(t) = 5000e^{rt}

After three hours it grew 6500 bacteria:

This means that P(3) = 6500. We use this to find r.

P(t) = 5000e^{rt}

6500 = 5000e^{3r}

e^{3r} = \frac{65}{50}

\ln{e^{3r}} = \ln{\frac{65}{50}}

3r = \ln{\frac{65}{50}}

r = \frac{\ln{\frac{65}{50}}}{3}

r = 0.0875

So

P(t) = 5000e^{0.0875t}

How many bacteria will be present after 13 hours?

This is P(13). So

P(13) = 5000e^{0.0875*13} = 15594.8

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

7 0
3 years ago
78×13-8×78+26×78-78=
Amanda [17]

Applying BODMAS (Order of operations rule)

Where: B is for brackets

O is for 'of' which means multiplication

D is for division

M is for multiplication

A is for addition

S is for subtraction

<u>In this case:</u>

We start with addition then we go to addition and finally we subtract.

(78 × 13) - (8 × 78) + (26 × 78) - 78

= 1014 - 624 + 2028 - 78

= 1014 + 2028 - 624 - 78

= 3042 - 624 - 78

=2340

7 0
4 years ago
Read 2 more answers
Are the triangles at the right simular explain
yawa3891 [41]

Answer:

no

Step-by-step explanation:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

6 0
3 years ago
Select all relations that represent a function.
Aliun [14]

Answer:

Hi! The answer to your question is B, D, and E

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

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4 0
3 years ago
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Please please help me out if you know how to do this!
Fittoniya [83]

Answer:

We are given that she ordered a hot drink:

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THEN we are told it was a medium (medium hot = 48)

So the probability = 48 / 75 = .64






Step-by-step explanation:


8 0
4 years ago
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