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3 years ago

The number of bacteria in a lab experiment can be modeled by the function

Mathematics

1 answer:

vodomira [7]3 years ago

6 0

Answer:

$P(t) = 1161(9)^{t}$

Step-by-step explanation:

Given

$P(t) = 43(3)^{2t+3}$

Required

Write in form of $P(t) =ab^t$

$P(t) = 43(3)^{2t+3}$

Apply law of indices:

$P(t) = 43(3)^{2t}*3^3}$

Reorder

$P(t) = 43*3^3*(3)^{2t}$

Express $3^3$ at 27

$P(t) = 43*27*(3)^{2t}$

$P(t) = 1161*(3)^{2t}$

Rewrite as:

$P(t) = 1161*(3^2)^{t}$

Express $3^2$ as 9

$P(t) = 1161*(9)^{t}$

$P(t) = 1161(9)^{t}$

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A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the

Sliva [168]

Using <u>complex numbers and radicals</u>, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

Hence, since 8i is a root of the function, -8i is also a root.

The same is valid for radicals, as they are in the $\pm$ format.

Since $7 - \sqrt{5}$ is a root, $7 + \sqrt{5}$ is also a root.

Hence, option C is correct.

For more on <u>complex numbers and radicals</u>, you can check brainly.com/question/25173944

8 0

2 years ago

Do the sides 4, 5, and 6 form a Pythagorean Triple?

NemiM [27]

Answer:

They do not form a Pythagorean Triple.

If it was a Triple, 4^2+5^2 should equal 6^2.

4^2+5^2=16+25=41

6^2=36

41≠26

It doesn't work, therefore it is not a Pythagorean Triple.

3 0

3 years ago

Read 2 more answers

Maleek rested a 15.5-foot ladder against a building. The base of the ladder is 8.2 feet from the building. How far up the buildi

oksian1 [2.3K]

Answer:

13.2 ft

Step-by-step explanation:

x^2 + 8.2^2 = 15.5^2

$x = \sqrt{15.5^2 -8.2^2}$

x = 13.2 ft

3 0

3 years ago

A storekeeper has two kinds of flour, one selling for 65 cents per pound, and the other selling for 95 cents per pound. How many

Murrr4er [49]

Answer:

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds

Step-by-step explanation:

Let

x ----> amount of 65 cents per pound flour to use

y----> amount of 95 cents per pound flour to use

we know that

$x+y=100$ ----> $y=100-x$ ----> equation A

$0.65x+0.95y=0.83(100)$ ----> equation B

substitute equation A in equation B

$0.65x+0.95(100-x)=0.83(100)$

Solve for x

$0.65x+95-0.95x=83$

$0.95-0.65x=95-83$

$0.30x=12$

$x=40\ lb$

Find the value of y

$y=100-40=60\ lb$

therefore

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds

4 0

3 years ago

Read 2 more answers

How to solve -d/6+12=-7

Delicious77 [7]

IF you are solving for d:

isolate the D, do the opposite of PEMDAS.

-d/6 + 12 = -7

(subtract 12 from both sides)

-d/6 + 12 (-12) = -7 (-12)

-d/6 = -19

(multiply 6 to both sides)

-d/6(6) = -19(6)

-d = -19(6)

-d = -144

-d/-1 = -144/-1

d = 144

hope this helps

6 0

2 years ago