The one-to-one functions g and h are defined as follows.

g = {(-4, 0), (-1, 1), (0, -5), (3,-1)}
h(x) = 2x-13

The bus at an angle of sight of 75 degrees from the man is at a distance of 541 feet

The distance function is given as:

d = 140 sec(x)

Where x represents the angle of sight.

In this case,

x = 75

So, we have:

d = 140 sec(75)

Evaluate the product

d = 541

Hence, the bus at an angle of sight of 75 degrees from the man is at a distance of 541 feet

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The answers of the given geometrical shapes are:

1. 226.29 cubic yard

2. 46.1 cubic inches

3. 2413.71 cubic inches

4. 234.67 cubic millimeter

5. 340.48 cubic yards

6. 113.14 cubic feet

7. 528 cubic centimeter

8. 905.14 cubic centimeter

9. 56.57 cubic feet

Mensuration is the branch of geometry that deals with measurement of volumes and areas of geometrical shapes.

Analysis:

1. volume of cylinder =π [tex]r^{2}[/tex]h. where r = 6/2 = 3 yard, h = 8 yard

                                  =  [tex]\frac{22}{7}[/tex] x [tex]3^{2}[/tex] x 8 = 226.29 cubic yard

2. volume of cone = [tex]\frac{1}{3}[/tex] x π  [tex]r^{2}[/tex]h. where r = 2inches, h = 11

                              =  [tex]\frac{1}{3}[/tex] x [tex]2^{2}[/tex] x   [tex]\frac{22}{7}[/tex]  x 11 = 46.1 cubic inches

3. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 8, h = 12

                                   =   [tex]\frac{22}{7}[/tex] x [tex]8^{2}[/tex] x 12 = 2413.71 cubic inches

4. volume of cone =  [tex]\frac{1}{3}[/tex] x π  [tex]r^{2}[/tex]h. where r = 4, h = 14

                               =  [tex]\frac{1}{3}[/tex]  x  [tex]\frac{22}{7}[/tex] x [tex]4^{2}[/tex] x 14 = 234.67 cubic millimeter

5. volume of cone =  [tex]\frac{1}{3}[/tex] x π  [tex]r^{2}[/tex]h. where r = 5, h = 13

                              =  [tex]\frac{1}{3}[/tex] x  [tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex] x 13 = 340.48 cubic yards

6. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 3, h = 4

                                   = [tex]\frac{22}{7}[/tex] x [tex]3^{2}[/tex] x 4 = 113.14 cubic feet

7. volume of cone = [tex]\frac{1}{3}[/tex] x π  [tex]r^{2}[/tex]h.  r = 6, h = 14

                               =  [tex]\frac{1}{3}[/tex] x  [tex]\frac{22}{7}[/tex] x [tex]6^{2}[/tex] x 14 = 528 cubic centimeter

8. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 6, h = 8

                                   =   [tex]\frac{22}{7}[/tex] x [tex]6^{2}[/tex] x 8 = 905.14 cubic centimeter

9. volume of cylinder =  π [tex]r^{2}[/tex]h. where r = 1.5, h = 4

                                    =   [tex]\frac{22}{7}[/tex]  x [tex]1.5^{2}[/tex] x 4 = 56.57 cubic feet

In conclusion, the volume of cylinders and cones for the given dimensions are:

1. 226.29 cubic yard

2. 46.1 cubic inches

3. 2413.71 cubic inches

4. 234.67 cubic millimeter

5. 340.48 cubic yards

6. 113.14 cubic feet

7. 528 cubic centimeter

8. 905.14 cubic centimeter

9. 56.57 cubic feet

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The equation that could be used to find the number of flowers purchased if the total bill was $9 is:0.50n + 1.50 = $9.

Since each flower costs $0.50, multiplying the cost per flower by the number of flowers (n) gives the total cost of the flowers then 0.50n represents the cost of the flowers.

and, 1.50 represents the fixed cost for placing the order.

and $9 represents the total bill, which includes the cost of the flowers and the fixed cost.

By adding the cost of the flowers (0.50n) to the fixed cost (1.50), the equation sets the total bill equal to $9 we get the Equation as

0.50n + 1.50 = $9

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Answer:

Where is the equation?

Step-by-step explanation:

And where are the options to select?

Answer:

d

Step-by-step explanation:

if 2 chords of a circle intersect , then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

KN × JN = LN × MN

(x - 4)(x + 23) = (x + 14)(x - 1) ← expand factors on both sides using FOIL

x² + 19x - 92 = x² + 13x - 14 ( subtract x² from both sides )

19x - 92 = 13x - 14 ( subtract 13x from both sides )

6x - 92 = - 14 ( add 92 to both sides )

6x = 78 ( divide both sides by 6 )

x = 13

Step-by-step explanation:

-x^2+6x+55=0

x^2-6x-55=0

x^2-6x+(3)^2-55-(3)^2=0

(x-3)^2-64=0

The probability that Wesley draws an ace or a jack is 0.154 and the probability that Wesley draws a number card or a black card is 0.846

In a standard deck of cards, we have:

Total = 52

Ace = 4

Jack = 4

Ace and Jack = 0

The probability is then calculated as:

P = P(Ace) +P(Jack) - P(Ace and Jack)

This gives

P = 4/52 + 4/52 - 0/52

Evaluate

P = 0.154

Hence, the probability that Wesley draws an ace or a jack is 0.154

In a standard deck of cards, we have:

Total = 52

Number card  = 36

Black = 26

Number card and Black = 18

The probability is then calculated as:

P = P(Number card) +P(Black card) - P(Both)

This gives

P = 36/52 + 26/52 - 18/52

Evaluate

P = 0.846

Hence, the probability that Wesley draws a number card or a black card is 0.846

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Answer: my guess is 4/13 and 11/13

Step-by-step explanation:

sorry if im wrong

Answer:

Step-by-step explanation:

Answer:

The Ganges

Step-by-step explanation:

Answer:

Ganga

Step-by-step explanation:

Answer:

x is all real numbers

Step-by-step explanation:

This means that the graph is continuous from negative infinity to positive infinity.

Answer:

False

Step-by-step explanation:

Protons have positive charge.

Answer:

Protons have a positive charge.

Step-by-step explanation:

The amount of metal needed to make the metal stud for the costume is 12 unit²

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the meatal stud does not have a base, hence:

Amount of metal needed = sum of area of triangular faces = 4(1/2 * 2 * 3) = 12 unit²

The amount of metal needed to make the metal stud for the costume is 12 unit²

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Answer:

65

Step-by-step explanation

Just did it on egde

Answer:

$3705.60

Step-by-step explanation:

1969/85=23.16

23.16x160=3705.6

Answer:

Approx. 606.02 cubic inches more.

Step-by-step explanation:

[tex]Volume=\pi *(\frac{diameter}{2})^2*height[/tex]

First, let's find the volume of the first cylinder (diameter=12, height=13).

[tex]V=\pi * (\frac{12}{2})^2 * 13\\V=\pi * (6)^2 * 13\\V=\pi * 36 * 13\\V=3.14*36*13\\V=113.04*13\\V=1469.52 in^3[/tex]

Now let's find the volume of the second cylinder (d=10, h=11).

[tex]V_{2}=\pi * (\frac{10}{2})^2*11\\V_{2}=\pi * (5)^2*11\\V_{2}=\pi * 25 * 11\\V_{2}=3.14*25*11\\V_{2}=78.5*11\\V_{2}=863.5in^3[/tex]

Lastly, we can subtract the volume of the second cylinder from the volume of the first cylinder.

This gets us a solution of 606.02 cubic inches.

Answer:

284.3

Step-by-step explanation:

Trapezoid Formula:

A=a+b/2*h

plug in the numbers

By the remainder theorem of polynomial division, the complete equation is f(-3) = 11

The equation is given as:

f(x)/x + 3

Set the divisor to 0

x + 3 = 0

Solve for x

x = -3

Given that the quotient has a remainder of 11.

It means that:

f(-3) = 11

Hence, the complete equation is f(-3) = 11

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Answer:

A

Step-by-step explanation:

Well automatically we can eliminate B and D because they make no sense whatsoever. So that leaves us with A and C. A is telling us to find the mean so it has to be that one. So, with procces of elimination the answer has to be A. I know this because the owner needs to find an average to see how many bottles he will have sold daily. ;) Your very much welcome

Answer: I think that the answer would be B. This is what i got after doing the work

-n=2-7

-n=5

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5

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my

y

y

y

y

y

y

y

y

y

y

Answer:

2

Step-by-step explanation:

4 x 12 = 6 x 4 x n

Which gives

48 = 24n

48/ 24 = n

so n = 2

Answer:

[tex]d)~ \dfrac{20}{29}[/tex]

Step-by-step explanation:

[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~=\dfrac{AC}{AB}\\\\~~~~~~~~=\dfrac{20}{29}[/tex]

Answer:

h(x) = 3x(x - 2) - 4

Step-by-step explanation:

A quadratic function is a polynomial having a degree of 2.

==============================================================

On expanding h(x) :

⇒ h(x) = 3x (x - 2) - 4

⇒ h(x) = 3x² - 6x - 4

=============================================================

Hence, h(x) is a quadratic function.

Answer:

h(x) = 3x(x - 2) - 4

Step by-step explanation

A quadratic function has a degree of 2.

Firstly, we expand h(x):

h(x) = 3x (x - 2) - 4

OR h(x) = 3x squared - 6x - 4
Therefore, it is h(x)

Answer:

x = ± 10

Step-by-step explanation:

to solve the equation let y = 0 , that is

100 - x² = 0 ( add x² to both sides )

100 = x² ( take square root of both sides )

± [tex]\sqrt{100}[/tex] = x , that is

x = ± 10

Answer:

x = -9

Step-by-step explanation:

1/3x + 1 = -2

1/3x = -2-1

1/3x= -3

x = -3 * 3

x = -9

Hey there!

1/3x + 1 = -2

SUBTRACT 1 to BOTH SIDES

1/3x + 1 - 1 = -2 - 1

SIMPLIFY IT!

1/3x = -2 - 1

1/3x = -3

MULTIPLY 3 to BOTH SIDES

1/3x * -3 = -3 * 3

SIMPLIFY IT!
x = -3 * 3

x = -9

Therefore, your answer should be:

x = -9

Good luck on your assignment & enjoy day!

~Amphitrite1040:)

Answer:

-22

Step-by-step explanation:

h-3h-8=14

-2h=14+8

-2h=22

h=-11

The initial step that must be taken before solving almost any problem is to understand what the problem is asking for us to do and what is provided to us to complete that goal.  Looking at the problem statement, we can see that we are being requested to solve for h and we are provided an expression to do so.  Let's begin solving the expression by combining like terms.

Combine like terms

Just a quick explanation on what combine like terms means, it basically just means to combine the coefficients of the numbers associated with the same variables.  Like in this example we can combine h and -3h because they have have the variable h associated with them.

Add 8 to both sides

Divide both sides by -2

Simplify the expression

Therefore, after completing the steps above we were able to determine that the value of h is equal to -11.

Answer:

Step-by-step explanation:

We'll look for an equation with the form y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A parallel line will have the same slope as the reference line, in this case it is 0, since y = -3 has no x term in it [y is independent of x].  The line we want will have the form y=b, since m is 0.  Put the given point, (-1,6) into this equation to find b:

y=b

6=b

The equation of a line parallel to y=-3 is y=6.

See attached plot.

Using an exponential function, it is found that the multiplier used to predict the amount of medication remaining 2 hours after the peak level is of 0.6889.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, we have that the decay rate is of r = 0.17, hence:

[tex]A(t) = A(0)(0.83)^t[/tex]

After 2 hours, the multiplier is given by:

[tex]A(2) = A(0)(0.83)^2 = 0.6889A(0)[/tex]

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