MATHEMATICS HIGH SCHOOL

A scientist writes the equation n(h)100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.1 hour
6 hours
13 hours
15 hours

Answers

Answer 1

Answer:

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

$n(h)=100e^(0.25h)$

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

$450=100e^(0.25h)\n\n(450)/(100)=e^(0.25h)\n\n4.5=e^(0.25h)\n\n\text{Taking natural log 'ln' on both sides}\n\n\ln (4.5)=0.25h\n\n1.50=0.25h\n\nh=(1.50)/(0.25)\n\nh\approx 6\ hours$

Hence, Second option is correct.

Answer 2

Answer:

6 hours is the amount of time

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Which parent functions have a domain of all real numbers?Linear
Absolute Value
Quadratic

Answers

The parent function of linear function has a domain of all real numbers option (A) Linear is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is:

Which of the following parent functions has a domain and range of all real:

Linear

Absolute Value

Quadratic

The linear function is:

f(x) = ax + c

Domain = all real numbers

Range = all real numbers

The absolute value function:

f(x) = |x|

Domain = all real number

Range = all positive real numbers

The quadratic function:

f(x) = ax² + bx + c

Domain = all real number

Range = all positive numbers

Thus, the parent function of linear function has a domain of all real numbers option (A) Linear is correct.

Learn more about the function here:

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the parent function is the linear function

Solve for x.

-ax + 3 b > 5

Answers

- a x + 3 b < 5
- a x < - 3 b + 5 / *( - 1 )
a x > 3 b - 5
x > ( 3 b - 5 ) / a
Thank you.

a jar containing only nickels an dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. What is the number of nickels and dimes in the jar?

Answers

Answer:

31 nickels and 29 dimes

Step-by-step explanation:

The incorrect work of a student to solve an equation 2(y + 8) = 4y is shown below:Step 1: 2(y + 8) = 4y
Step 2: 2y + 10 = 4y
Step 3: 2y = 10
Step 4: y = 5

Which of the following explains how to correct Step 2 and shows the correct value of y?

The equation should be y + 8 = 4y after division by 2; y = 4
The equation should be y + 8 = 4y after division by 2; y = 6
2 should be distributed as 2y + 16; y = 4
2 should be distributed as 2y + 16; y = 8