I have $5$ different mathematics textbooks and $4$ different psychology textbooks. In how many ways can I place the $9$ textbooks on a bookshelf, in a row, if there must be a psychology textbook exactly in the middle, and there must be a mathematics textbook at each end?

Answers

Answer 1
Answer:

Answer:

What

Step-by-step explanation:

You can’t have more than 2 combinations with £9


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A rate is a ratio sometimes,always, or never true give an example​

Answers

Answer:

A rate is a comparison of two different quantities with different units. Rates are always ratios, since they are comparing two different numbers as they compare two different quantities.

Step-by-step explanation:

math magic

The equation sin (40)= b/20 can be used to determine the length of line segment AC. What is the length of AC? Round to the nearest tenth.

Answers

Provided that the triangle looks like this:

A| \  |   \  |    \  |     \  |      \ b|        \   20  |           \  |              \  |                \  |                 \  |_______40\C      a          B

Then using the the equation to solve for line segment AC (or b on the diagram):

sin(40) = b/20

b = 20 * sin 40
b = segment AC = 12.9 units
12.9 just took it on the quiz

An experiment requires that each student use an 8.5 cm length of magnesium ribbon. How many students can do the experiment if there is a 570 cm length of magnesium ribbon available?

Answers

Just divide 570 cm by 8.5 cm to get number of students.

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

Answers

let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
4x + 3y = 37

x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3

x = 10 - y
x = 10 - 3
x = 7

x = 7 ; y = 3

4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37 

Answer:

D. 4r + 3(10 - r) = 37

Step-by-step explanation:

worked on edge 2022

For each value of kk specified in parts (a)–(e), plot the set of points in the plane that satisfy the equationx2 / k − y2 = 1.
a. k = −1
b. k = 1
c. k = 2
d. k = 4
e. k = 10
f. k = 25
g. Describe what happens to the graph of
x2 / k − y2 = 1 as k → [infinity].

Answers

Answer:

Seee answer below.

Step-by-step explanation:

a. k = −1

If K=-1 the equation gets this form:

(x^2/-1) -y^2=1

There aren't natural numbers that being negative, adding them, we get 1 as result. So there is no graph for this equation.

b. k = 1

(x^2/1) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

c. k = 2

(x^2/2) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

d. k = 4

(x^2/4) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

e. k = 10

(x^2/10) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

f. k = 25

(x^2/25) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

g. Describe what happens to the graph of

x2 / k − y2 = 1 as k → [infinity].

As K is increasing the value of X will be tending to 0. So the equation for this will be:

− y^2 = 1.The solution for this is in the domain of the imaginary numbers.

If sin A = .5 and cos A = .866 then what is tan A to the nearest thousandth

Answers

Somewhere in a table of trig-function definitions that you have somewhere,
it mentions that

            tan(a)  =  sin(a) / cos(a).

So it must follow that

            tan(A)  =  (0.500) / (0.866)  =  0.577  (rounded)