Suppose a Ferris wheel has a diameter of 68 m.
The wheel rotates 12° each time a new passenger
is picked up. How far would you travel when the
wheel rotates 12°? Round to the nearest tenth
if necessary.
A 7.1 m
C 7.8 m
B 7.5 m
D 14.2 m

Volume of prism is given by V= base area × height cubic unit. The expression 48 × 3  unit³ can be used to represent the volume of the prism.

Prism is a three-dimensional geometrical figure having identical two ends. A prism has flat faces, similar bases and equal cross sections. A prism is normally bounded by plane faces.

Volume of prism is calculated by the product of base area and height of the prism. At first, we need to calculate the base area and then height is multiplied with it.

Prisms are different types such as triangular prism, rectangular prism, pentagonal prism and hexagonal prism so depending on the figure area for the base is different. As a result, different shaped prism has different formula for volume calculation.

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Given:

The graph of a curve.

To find:

The domain and range for the given graph in interval notation.

Solution:

Domain: It is the set of input values.

Range: It is the set of output values.

Closed circle: It means that point is included in the solution set.

Open circle: It means that point is not included in the solution set.

(a) From the given graph it is clear that the function is defined between x=-5 to x=4. There is a closed circle at x=-5 and an open circle x=4, it means x=-5 is included and x=4 is not included in the domain.

[tex]Domain=-5\leq x<4[/tex]

[tex]Domain=[-5,4)[/tex]

(b) From the given graph it is clear that the values of the function lie between y=-3 to y=3. There is a closed circle at y=-3 and an open circle y=3, it means y=-3 is included and y=3 is not included in the range.

[tex]Range=-3\leq y<3[/tex]

[tex]Range=[-3,3)[/tex]

Therefore (a) [tex]Domain=[-5,4)[/tex] and (b) [tex]Range=[-3,3)[/tex].

Answer:

Positive

Step-by-step explanation:

Answer:

the answer should be 126

Step-by-step explanation:

when you are looking for the area you multiple all of them so i should be right

Answer:

76.5

Step-by-step explanation:

6+3=9

1/2b*h

1/2*9*3=13.5

7*9=63

13.5+63=76.5

=76.5

Answer:

"$ 2,880" is the right answer.

Step-by-step explanation:

The given values are:

Annual deposit,

PV = $1,800

Interest rate,

r = 2%

or,

  = 0.02

As we know,

⇒  [tex]FV=PV\times (1+r)n[/tex]

On substituting the values, we get

⇒         [tex]=1,800\times (1 + 0.02) 4 + 7 + 13[/tex]

⇒         [tex]=1,800\times (1.02)24[/tex]

⇒         [tex]=1,800\times 1.6[/tex]

⇒         [tex]= 2,880[/tex] ($)

Answer:

10!

Step-by-step explanation:

Basically you can see that one side of the "triangle" is 3, and the other is 9 (based on the distance, assuming that the line would be a hypotenuse). From here all you have to do is square 3 and square 9, add them, and find the square root

√(9+81) = 10

Answer:

2

When you cancel out the m (cause its the common factor) the only thing left is to simplify 10/5 which is 2.

Answer:

[tex] \displaystyle A) 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]

Step-by-step explanation:

we would like to expand the following logarithmic expression:

[tex] \displaystyle \log( {x}^{5} {y}^{2} ) [/tex]

remember the multiplication logarithmic indentity given by:

[tex] \displaystyle \rm \log( \alpha \times \beta ) \iff \log( \alpha ) + \log( \beta ) [/tex]

so our given expression should be

[tex] \displaystyle \log( {x}^{5} ) + \log( {y}^{2} ) [/tex]

by exponent logarithmic property we acquire:

[tex] \displaystyle 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]

hence, our answer is A

Answer: 10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

0.52, 0.73, 3/4

3/4=0.75

Answer:

Option 2

Step-by-step explanation:

Hello!

We can solve the equation for n by isolating the variable.

The answer would be the second option: "n = the quantity 3 times c minus 9 all over negative p."

Answer:

C

Rewrite the equation until you end up with 4 being your slope =m

The probability of choosing  a shade of blue and carpet is 1/6 greater than that of choosing a shade of yellow and wood flooring.

The total number of possible paint colors Daria can choose is 5 shades of blue + 2 shades of yellow + 2 shades of purple = 9 shades

The total number of flooring options Daria can choose from is carpet or wood = 2 options

The probability of choosing a shade of blue is 5/9 and the probability of choosing carpet is 1/2. So, the probability of choosing a shade of blue and carpet is (5/9) * (1/2) = 5/18.

The probability of choosing a shade of yellow is 2/9 and the probability of choosing wood flooring is 1/2. So, the probability of choosing a shade of yellow and wood flooring is (2/9) * (1/2) = 2/18

The probability of choosing a shade of blue and carpet is 5/18, and the probability of choosing a shade of yellow and wood flooring is 2/18. So, the probability of choosing a shade of blue and carpet is (5/18) - (2/18) = 3/18 or 1/6 greater than the probability of choosing a shade of yellow and wood flooring.

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Answer:

a = 3 or -3

Step-by-step explanation:

a^2 -8 = 1

a^2 = 1 + 8

a^2 = 9

a = -  [tex]\sqrt{9}[/tex] or [tex]\sqrt{9}[/tex]

a = 3 or -3

Answer: a = 3, -3

Step-by-step explanation:

      Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.

     Given:

f(x) = x² - 8

     Set equal to 1:

1 = x² - 8

     Subtract 1 from both sides of the equation:

x² - 9 = 0

     Difference of squares factoring:

(x - 3)(x + 3) = 0

     Answers:

x = 3, -3

     So,

a = 3, -3

Answer:

y = 15x + 2

Step-by-step explanation:

Use the slope-intercept form:

y = mx + b becomes

y = 15x + 2

Answer:

y = 15x + 2

Step-by-step explanation:

An equation written in slope-intercept form will have the structure of:

y = mx + b

m is the slope. b is the y-intercept.

We know:

slope: 15

y-intercept: 2

Let's plug in what we know.

y = mx + b

y = 15x + 2

This is your equation.

Hope this helps!

The likelihood event:

Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

The correct option is A.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Given:

Three softball players discussed their batting averages after a game.

Probability:

Player 1 = six tenths = 6/10

Player 2 = five ninths = 5/9

Player 3 = four sevenths = 4/7

To find better batting averages:

LCM of 10, 9 and 7.

10 = 2 x 5. 9 = 3 x 3, 7 = 7

So, the LCM (10, 9, 7) = 630

Now we have the number of chances are equal for each of the three players.

So, the P(Player 1) = 6/10 = 378/630

P(Player 2)= 5/9 = 350/630

P(Player 3)= 4/7 = 360/630

The Player 1 has better batting average than Player 2 and Player 3.

Therefore, Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

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Answer:

I Believe The Answer Would Be 35

Step-by-step explanation:

You See If You Split The Rectangle Into Three Rectangles You Can Split Them Up And Multiply The Length And Width

Answer:

35in^2

Step-by-step explanation:

You essentially have 3 rectangles.

Starting from the top

2*5 = 10

Middle

This is the only tricky one. You have the top with a total lenght of 5 and the middle rectangle is recessed from the 5 inch 2 inch. that leaves you 3 inches plus the 3 off to the side. in total 5 inches

3*5 = 15

Bottom

2*5 = 10

Add them all togehter

10+15+10

The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and and the common multiple of 16 and 40 could be 2 .

What is prime factor ?

prime factor can be defined as the number which is divisible by that number and the number should be prime.

The prime factor tree for 16 as follows

16 = 2*8 = 2* 2 * 4 = 2*2*2*2

                16

            2         8

                     2    4

                         2     2

The prime factor tree for 40 as follows

40 = 2*20 = 2*2*10 = 2*2*2*5

                40

           2            20

                      2        10

                              2      5

Hence, The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and the common multiple of 16 and 40 could be 2 .

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0.27 is the experimental probability of selecting a green marble.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Michael has a bag of marbles.

The frequency of selecting each color is recorded  

Outcome Frequency

Green 4

Black 6

Orange 5

The total number of marbles are 4+6+5=15 marbles.

We need to find the experimental probability of selecting a green marble.

We need to select green marbles (4) from total marbles (15).

Probability=4/15=0.266=0.27

Hence, 0.27 is the experimental probability of selecting a green marble.

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Substitution method is a method used to solve equations. It involves replacing a variable with its given value, which helps to isolate it and solve for the unknown. For example, if we have the equation 2x+5=17, we can solve for x by substituting 17 for 2x+5 and then subtracting 5 from both sides to obtain x=12.

The substitution method is a technique used to solve systems of equations. An example of the substitution method would be solving the system of equations:

x + 2y = 5

3x + 6y = 15

First, solve the first equation for x:

x = 5 - 2y

Substitute the expression for x into the second equation:

3(5 - 2y) + 6y = 15

Simplify:

15 - 6y + 6y = 15

Solve for y:

15 = 15

Now substitute the value of y back into the expression for x:

x = 5 - 2(3)

Solve for x:

x = -1

Therefore, the solution to the system of equations is:

x = -1, y = 3

Substitute x in equation 1 into equation 2, solve, then substitute y back into equation 1.

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Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).

An equation is a representation of two equal variables in mathematics, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra lessons address the fundamental concepts of mathematics.

Here,

Given: Maximum: 210

Minimum: 10

Time : 90

In order to create a sinusoid equation:

When x=0, sin(2*0)=sin(0)=0.

If x = 4 then sin(4 / 2) = 1.

Sin(π) = 0 if x =π/2 and

Consequently, the sinusoid's equation will be y=Sin (2x)

Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).

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Answer:

x intercepts; (5/3 ,0 )

y-intercepts; (0 , 5/2)

Step-by-step explanation:

The triangles can be proved congruent by SAS theorem.

Two or more triangles are said to be congruent if and only if their corresponding length of sides and measure of internal angles are equal. Therefore, congruency is a property of equality of the triangles.

To prove that two or more triangles are congruent, then their corresponding sides are compared if they are equal. Also the measure of their corresponding internal angles are considered if they are equal.

Therefore. in the given question, to determine if the triangles can be proved congruent by the appropriate theorem;

It can be seen that the two sides of the triangles are equal. Also the measure of their included angles are equal. Therefore, the triangles can be proved to be congruent by SAS.

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Answer:

x=89

Step-by-step explanation:

Well all of a quadrilaterals interior angles add up to 360 degrees so you would add together 69+118+84 which equals 271, and then you'd subtract that from 360 which is 89. Hope this helps. :)

By analytical geometry, the line y = - 2 · x - 1 represents a line perpendicular to the line shown in the picture. (Correct choice: C)

According to analytical geometry, lines are described by polynomials of the form:

y = m · x + b

Where:

And the equation of the perpendicular line pass through a point of original line and is related to the slope of the line by following relationship:

m · m' = - 1

Where:

First, determine the slope and intercept of the original line:

(x, y) = (0, 1)

1 = m  · 0 + b

b = 1

(x, y) = (2, 0)

0 = m · 2 + b

2 · m + b = 0

m = - b / 2

m = - 1 / 2

Second, calculate the slope of the perpendicular line:

m' = 1 / (- 1 / 2)

m' = - 2

Third, we conclude by discarding options that the equation of the perpendicular line is y = - 2 · x - 1.

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