Value of expression 6 3/4(-11.5)

Step One

Deduct 32 from both sides.

F - 32 = \frac{9}{5}(k - 273.15)

Step Two

Multiply each side by \frac{5}{9}.

\frac{5}{9}(F - 32) = \frac{5}{9} \times \frac{9}{5}(k - 273.15)

\frac{5}{9}(F - 32) = k - 273.15

Step Three

Add 273.15 to both sides.

\frac{5}{9}(F - 32) + 273.15 = k

Problem B

F = 180

Solve for k

k = \frac{5}{9}(F - 32) + 273.15

k = \frac{5}{9}(180 - 32) + 273.15

k = \frac{5}{9} \times 148 + 273.15

k = 82.2222 + 273.15

k = 355.3722

k = 355.4  <<< Answer

Answer:

The fat percentage in the blend amounts to 8%.

Step-by-step explanation:

Let

x -----> represent the fat percentage in the mix.

We understand that

The total of milk's volume times its fat percentage, added to cream's volume times its fat ratio, must match the overall mixture's volume times its fat percentage.

Keep in mind that

15% = 15/100 = 0.15

3% = 3/100 = 0.03

therefore

Now, solve for x

Convert that into a percentage

Answer:

a) The outlier is the point located at the bottom right of the graph

b) The plotted points resemble a line that has a positive gradient

c) By conducting correlation analysis, we can determine the strength of the correlation

Step-by-step explanation:

a) The problem presents a scenario where Igor, who has recently moved, is experienced but needs to retrain medically to practice in the UK

Thus, he corresponds to the outlier situated nearest to the graph's bottom right

b) According to the scatter graph, there's a direct relationship showing that as a doctor's age increases, their annual salary tends to climb as well

Referencing the graph:

Age      Salary

22        £28000

26        £30000

34        £44000

38        £42000

42        £30000

42        £46000

50        £55000

The data points follow a line demonstrating the proportional increase of salary with age.

c) To reinforce this conclusion's reliability, correlation analysis should be conducted to ascertain the relationship between age and annual incomes.

Response:

a)

b) From t increasing from 3 to 6, v changes from 18 gallons to 12 gallons.

Detailed explanation:

The relationship between the tank’s volume and time is given by:

Where V(0) indicates the starting volume and a denotes the hourly decrease.

a. Create a formula for v in terms of t.

The tank starts with 24 gallons of water, hence

It drains steadily at 2 gallons each hour, therefore

Then

b. When t progresses from 3 to 6, v changes from _________ to _________

So as t progresses from 3 to 6, v shifts from 18 gallons to 12 gallons.

The options related to the question are

We have

It is known that

The Rational Root Theorem indicates that when a root 'x' is expressed as a fraction in simplest form

p represents an integer factor of the constant term, while q signifies an integer factor of the coefficient of the leading term.

Therefore,

for this question,

the constant term equals

and the leading term is -----> coefficient is

Consequently,

the response is the option

D.