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Y_Kistochka [10]
3 years ago
12

In a lab, scientists are growing a culture of bacteria. It is known that the

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

For the scientists it would take 4 hours to make 1000 units

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In ΔPQR, the measure of ∠R=90°, the measure of ∠Q=46°, and RP = 97 feet. Find the length of PQ to the nearest tenth of a foot.
Whitepunk [10]

Answer:

PQ = 134.9 feet

Step-by-step explanation:

sin 46 = 97/PQ

0.7193 = 97/PQ

PQ = 134.85 feet

5 0
3 years ago
Which figure accurately represents the Pythagorean theorem?
Elena-2011 [213]

Figure B is the answer!

The formula for the Pythagorean theorem is

A^2+B^2=C^2

In figure B the units are squared. Making it your answer.

-Seth

8 0
3 years ago
What is the volume of this sphere?
Darina [25.2K]

Answer:

523.59 or 523.60

Step-by-step explanation:

Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)

(r is radius, V is volume)

V= 4/3 x π x r^3

The diameter is 10, so the radius is 5...

V= 4/3 x π x 5^3

V= 4/3 x π x 125

CALCULATER: 4 ÷ 3 x π x 125

Answer 523.59  (523.60 rounded)

6 0
3 years ago
HELP PLEASE 30 POINTS!!​
Naya [18.7K]

Answer:

p - w = $25 OR w + $25 = p

Step-by-step explanation:

pencil = p

pen = w

p - w = $25 OR w + $25 = p

4 0
3 years ago
Matt invests $1,669 in a saving account with a fixed annual interest rate of 2% compounded 12 times per year. How long will it t
vesna_86 [32]

Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

1.1051 = (1.0017)^(12t)

Taking log to base 10 of both sides, it becomes

Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

t = 4.84 years

6 0
3 years ago
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