Vincent made a scale drawing of the auditorium. He used the scale 3 inches : 4 feet. The
stage is 24 inches wide in the drawing. How wide is the actual stage?
feet

Answer:

84

2 42

2 21

3 7

Step-by-step explanation:

It has total 12 factors of which 84 is the biggest factor and the prime factors of 84 are 2, 3 and 7. The Prime Factorization of 84 is 2^2 × 3 × 7

Answer:

in attachment

Step-by-step explanation:

Answer:

B.  g(x) = (2x)^2

Step-by-step explanation:

See attached image.

The graph of the function g ( x ) = ( 2x )² is plotted

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

Now , the graph of the function is g ( x )

where g ( x ) = 4x²

And , the point P ( 1 , 4 ) lies on the graph

when x = 1

g ( 1 ) = 4

Hence , the graph is plotted and g ( x ) = 4x²

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Answer:

d= 66

Step-by-step explanation:

1- Calculate diameter of the circle

ANSWER:

x° = 24°

y° = 72°

Analysis on picture hope it helps

The probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day is 53/64

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C).

The results of the survey are shown in the Venn diagram as,

Therefore, for circle B, it can be given as,

[tex]n(B)=11+53=64[/tex]

Similarly, for the circle C,

[tex]n(C)=53+4=57[/tex]

As the intersection of circle B and C contains 53,

[tex]n(BC)=53[/tex]

Now the probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day,

[tex]P(C|B)=\dfrac{P(BC)}{P(B)}\\P(C|B)=\dfrac{n(BC)}{n(B)}\\P(C|B)=\dfrac{53}{64}[/tex]

Hence, the probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day is 53/64

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Answer:

C or 53/64

Step-by-step explanation:

Ed2022

Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Graphing all three equations can be done on one DESMOS plot, but it gets very busy and cluttered.  The attached image demonstrates an approach that simplifies the graph.

Enter the three equations and three inequalities separately into six DESMOS input boxes.  Then I clicked off the color circles of the ones I didn't want to see, leaving only two visible at one time.  Each pair represents one line of the function and limit for that function.  Then find the intersection point for the values indicated in the second half of the equation.  

One can also calculate the answers:

a)  (-21,442)

b)  (-4,-1)

c)  (18,15.5)

d) (20,17)

Constant 'k' has the value in the form of factored after factorization, the provided polynomial equation is 2.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

[tex]8x^3 +6x^2 - 32x - 24[/tex]

The factor of the polynomial equation are given as,

[tex]2(x+ k)(x - k)(4x +3)[/tex]

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (8, 6, -32, -24). Thus,

[tex]2(x+ k)(x - k)(4x +3)=2(4x^3 +3x^2 - 16x - 12)[/tex]

Take out the highest common factor to make the groups as,

[tex]2(x+ k)(x - k)(4x +3)=2(x^2(4x +3) - 4(4x + 3))\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -4)\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -2^2)[/tex]

Use the property of difference of the square for the (x²-2²) term as,

[tex]2(x+ k)(x - k)(4x +3)=2(4x +3) (x +2)(x-2)\\2(x+ k)(x - k)(4x +3)=2(x +2)(x-2)(4x +3)[/tex]

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 2.

Learn more about factor of polynomial here;

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Answer:

C

Step-by-step explanation:

The graph of the equation y = m^x passes through the point (1, m)

Given the equation of a graph expressed as y = m^x

We need to determine the coordinate point that lies on this graph.

If x = 1, substitute into the formula to have:

y =m^1

y = m

Hence the required coordinate will be (1, m)

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Answer:

A would have to be the best answered all the all ones dont seen right

Answer:

77.8

Step-by-step explanation:

In terms of theorems, no I cannot recall right now. the angle opposite of the side in this case C is 77.8

if you were to find both angles on a straight line it's be 180. basically really easy to find all angles

Answer:

1.175A

Step-by-step explanation:From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.

The expression that represents the amount of money in the bank account after the increase will be:

= A + (17.5% × A)

= A + (17.5/100 × A)

= A + (0.175 × A)

= A + 0.175A

= 1.175A

Answer:

A

Step-by-step explanation:

8294/286

Answer:

76.92%

Step-by-step explanation:

Green: 5

Orange: 5

Yellow: 3

First: 5 + 5 + 3 = 13

Now we need to find the probablility of picking an orange or green marble.

We need to divide the number of green and orange marbles put together by the total, 13.

10/13 = 76.92%

You have a 76.92% chance of picking either a green or orange marble.

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!

Step-by-step explanation:

The americium is represented as 1. Every 432 years it decreases by 50%.

First half-life:

432 years.

[tex]1 \div 2 = 0.50[/tex]

0.50 (1/2) of americium remains after 432 years.

Second half-life:

[tex]432 \times 2 = 864[/tex]

[tex]0.5 \div 2 = 0.25[/tex]

0.25 (1/4) of the americium remains.

Third half-life:

[tex]432 \times 3 = 1296[/tex]

[tex]0.25 \div 2 = 0.125[/tex]

0.125 (1/8) of the americium remains.

Last half-life:

[tex]432 \times 4 = 1728[/tex]

[tex]0.125 \div 2 = 0.0625[/tex]

0.0625 (1/16) of the americium remains.

Option B is correct.

Answer:

$24

Step-by-step explanation:

cost of a pass for a week (without equipment rental) = 7 x 25 = $175

Therefore, cost of just renting the equipment for the week = 199 - 175 = $24

ETA: As an algebraic equation

Let x = number of days

Let y = cost of renting the equipment for a week

y = 199 - 25x

Answer:

I provided a picture

Step-by-step explanation:

Answer:

D(2.5,  7/2

Step-by-step explanation:

Step-by-step explanation:

$70*8% ≈ 56

so, 70 - 56 = i14

ihopethishelps

It can be deduced that the price-response function associated with the situation will be P = MWTP =  -e⁻ λ.

A function, in mathematics, is a relationship that exists between one variable that is, the independent variable and the dependent variable.

When the willingness-to-pay distribution of a product is a negative exponential distribution with parameter λ, the price-response function associated with it will be:

dWTP/dλ = -e⁻ λ

P = MWTP =  -e⁻ λ

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Answer:

Design 1: $449.45

Design 2: $522.60

Design 3: $318.25

Design 3 as it's the cheapest

Step-by-step explanation:

Design 1

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

Given the slanted side = 3.5

Height = √(3.5² - 1²) = (3√5)/2

⇒ area of design 1 = 1/2(5 + 3) × (3√5)/2 = 6√5 = 13.42 m²

⇒ cost = 13.42 x 33.5 = $449.45

Design 2

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Area of a 6-sided regular polygon = 4 triangles + rectangle

⇒ area of design 2 = 4(1/2 × 1.4 × 2.0) + (2.5 × 4) = 15.6 m²

⇒ cost = 15.6 x 33.5 = $522.60

Design 3

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

⇒ area of design 3 = 1/2(3 + 2) × 2 + 1/2(3 + 1.5) × 2 = 9.5 m²

⇒ cost = 9.5 x 33.5 = $318.25

Answer:

2.85

Step-by-step explanation:

It would be 2.85 because half of 3.00 is 1.50 and half of 2.70 is 1.35 add 1.35 and 1.50 together that makes 2.85

Hope that helps :))

Answer:

10 1/3

Step-by-step explanation:

you ar esupposed to add the fractions first.if the fraction is improper(4/3), another number is added to the whole number.finally you ad the whole numbers to get your answer

hope it helps:)

Answer:

Answer: 10 1/3

Jonathan first got the steps right, however, he was incorrect because he added the denominators together. Since the two denominators are the same, the sum will also have a denominator of 3, not 6. In his other steps, he was correct; 7 + 2 = 9, 2 + 2 = 4. Thus, making 9 4/3 or 10 1/3.

Step-by-step explanation:

Step-by-step explanation:

For the solution you put the point at which the lines intersect.

Answer:

V=πr2h=π·22·4≈50.26548

Step-by-step explanation:

the first step is to get a radius that is 1/2 of diameter. So 4/2=2, r=2

then pi x 2^2 x 4 which gets you 50.265 or 20.27 if you round it

There is an open circle on –6. 5 and the arrow points to the right. The correct options are A and E.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

The given expression is [tex]\rm x > -6.5[/tex].

It means the value of x is more than -6.5.

Since the sign of equality is not there in the equation then at -6.5 will be an open circle. And the arrow points to the right.

The graph is shown below.

More about the inequality link is given below.

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The fifth term of the sequence is -15

Given the following recursive functions

[tex]a_1=13\\a^n=a^{n-1}- 7 .[/tex]

For the second term:

a2 = a1 - 7

a2 = 13 - 7

a2 = 6

For the third term:

a3 = a2 - 7

a3 = 6 - 7

a3 = -1

For the fourth term:

a4 = a3 - 7

a4 = -1 - 7

a4 = -8

For the fifth term:

a5 = a4 - 7

a5 = -8 - 7

a5 = -15

Hence the fifth term of the sequence is -15

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Answer:

Your question is unclear as to which product you're looking for, the dot product or the cross product, so I'll answer for both.

The i and j notations for vectors refer to their coordinates, e.g. a vector that is 2i+3j is one that moves 2 units in the x-direction and 3 units in the y-direction. This can also be notated as (2, 3), and that's the notation I'll be using in this answer to keep things simple.

In order to get either product, we have to do the subtraction in parentheses first:3v - 4w = 3 * (2, -2) - 4 * (0, -2). When multiplying a vector by a scalar number, you just multiply the coordinates by the scalar, so this becomes (6, -6) - (0, -8). Performing this subtraction by subtracting corresponding coordinates, we get 3v - 4w) = (6, 2). Also, 5u = 5 * (-3, 2) = (-15, 10).

Now, the dot product of two vectors is a scalar quantity. The dot product of the two vectors (-15, 10) • (6, 2) is the sum of the products of the corresponding coordinates. This is -15 * 6 + 10 * 2, which is -90 + 20, and that is -70.

Step-by-step explanation:

Answer:

well the answer is