MATHEMATICS HIGH SCHOOL

Can anyone help please????

Answers

Answer 1

Answer:

Answer:

Option A. $(f_of^(-1))(-2)=-2$

Step-by-step explanation:

Point to remember while solving the question of function,

$(f_of^(-1))(x)=x$

Here, 'f' is the parent function and $f^(-1)$ is the inverse of the function 'f'.

So for the given function,

f(x) = 2x - 2

$(f_of^(-1))(x)=x$

For x = -2

$(f_of^(-1))(-2)=(-2)$

Therefore, Option A will be the correct answer.

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There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π)

Answers

A petri dish is simply a circle; thus, we use the formula of the area of the circle which is πr^2.
Given r = 40 mm
A = π(40)^2 = 5026.55 sq. mm

Population density = bacteria count / area
PD = 2,100 / 5026.55
PD = 0.417782 bacteria / mm sq.

Therefore, the answer is approximately 0.418 bacteria per square millimeter.

Determine the area of the circular petri dish through the equation, A = πr^2. Substituting the radius to the equation and solving for area gives, 5024 mm^2. The population density is obtained by dividing the population with the calculated area. Thus, the population density is approximately 0.418 bacteria per mm^2.

Which of the following is an example of empirical probability?A. Darren threw a football to Ted 15 times, and Ted caught it 13 times. The probability Ted will catch a throw is .B. Jena has 8 T-shirts in a drawer, and 3 of them are blue. The probability of pulling out a blue T-shirt is .C. When a coin is flipped, heads and tails are equally likely. The probability of heads is .D. A spinner has 4 equal sections numbered 1 to 4. The probability of spinning the number 1

Answers

Empirical probability is the ratio of the number of outcomes with the actual number of trials. This means that it relies on experimental data and not on the theoretical probability.

The only options that makes use of actual data or the trials done is
A. Darren threw a football to Ted 15 times, and Ted caught it 13 times. The probability Ted will catch a throw is .

Show that the initial-value problem -Wu''(x) + xu'(x) = cu (IC) u(x, x) = h(x) can have a solution only if h has the form h(x) = bx^0, b: const. Solve this problem if h(x) = x^2. a) u(x) = (2/3)c^(3/2) * x^1.5 b) u(x) = (3/2c) * ln(x) + C c) u(x) = (3/2) * sqrt(c) * x^1.5 d) u(x) = (1/2c) * x^2

Answers

Answer:

Step-by-step explanation:

thr

Let f(x) = x^2 + 6 and g(x) = x+8/x. Find (g ° f)(-7)

Answers

g(55)= (55+8)/55

Now just simplify the numerator.

Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take? 3 hours
6 hours
8 hours

Answers

it would take 3.5 hours just by plane

and 18.5just by train

so the answer is 6 hours

Answer:

the correct answer is 6 hours

Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?