The troupe’s account balance first reached $500 on Day 4. The last day the account balance was $500 was
Day 8.
(a) Determine C(5), C(6), and C(7). Explain how you determined these amounts.
(b) Estimate C(1), C(2), and C(3). Explain how you determined these amounts.
(c) The stage manager said that the amount of money taken out of the account each day between Day 8
and Day 11 was the same amount of money put into the account each day between Day 0 and Day 4.
Recall that Day 11 is when the balance first reached $0. Without doing any calculations, how could
you show the stage manager was incorrect?

3x° is 60° , 2x° is 40° and 4x° is 80°

Note that the sum of angles in a triangle is 180°

Solve for x in the triangle

Then,

3x° +2x° + 4x° = 180°

Add the x°

9x° = 180°

Divide both sides by 9

x° = 180÷ 9 = 20°

If x° = 20

Then 3x° = 3× 20 = 60°

2x° = 2 × 20 = 40°

4x°= 4× 20 = 80°

Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°

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Answer:

Scalene obtuse.

Step-by-step explanation:

Scalene means that none of the sides are the same.  You can tell by looking at the triangle that none of the sides are the same.  An obtuse triangle is a triangle with one obtuse angle.  It is a close call between obtuse and right, but I believe that I can definitely say that the angle is a little more than 90 degrees, and is therefore obtuse.

Answer:

The correct answer is 13%.

Step-by-step explanation:

We can easily put in the equation:

95 - 82 = 13

Hope this helps:) Goodluck!

Answer:

x=11

y=0

Step-by-step explanation:

Don't know if this is what you're looking for but this is correct if you plug it in.

X + 4y = 11    Get x by itself.  x=-4y+11  and plug it into the bottom.

X - 6y = 11

simplify -4y+11-6y=11

11-10y=11

-10y=0

y=0 plug it into the original and you will get

x=11

x=11

Answer:  Choice C

[tex]\frac{\sqrt[12]{55,296}}{2}[/tex]

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

Explanation:

Recall the process to rationalize the denominator is to multiply top and bottom by the denominator expression. This only works if we have a square root in the denominator.

For cube roots, we'll need to multiply two copies of the denominator to top and bottom. This will get us three copies of [tex]\sqrt[3]{2}[/tex] so that the cube root goes away.

Check out the steps below to see what I mean:

[tex]\frac{\sqrt[4]{6}}{\sqrt[3]{2}}\\\\\\\frac{\sqrt[4]{6}\sqrt[3]{2}\sqrt[3]{2}}{\sqrt[3]{2}\sqrt[3]{2}\sqrt[3]{2}}\\\\\\\frac{6^{1/4}*2^{1/3}*2^{1/3}}{\left(\sqrt[3]{2}\right)^3}\\\\\\\frac{6^{3/12}*2^{4/12}*2^{4/12}}{2}\\\\\\\frac{\left(6^3*2^4*2^4\right)^{1/12}}{2}\\\\\\\frac{\left(55,296\right)^{1/12}}{2}\\\\\\\frac{\sqrt[12]{55,296}}{2}\\\\\\[/tex]

In short,

[tex]\frac{\sqrt[4]{6}}{\sqrt[3]{2}}=\frac{\sqrt[12]{55,296}}{2}[/tex]

We have the 12th root of 55,296 all over top the integer 2. The "2" is not part of the 12th root. This shows why choice C is the final answer.

Answer:

C

Step-by-step explanation:

Answer:

4 different ways

Step-by-step explanation:

there are four different ways she can post it because there are four posters she want to hang on the wall.

Answer:

its b

Step-by-step explanation:

because im feeling generous enjoy

Answer:

exact area = 81π in.²

approximate area = 254.34 in.²

Step-by-step explanation:

Exact:

area = πr²

r = radius = diameter/2 = 18 in./2 = 9 in.

area = πr²

area = π × (9 in.)²

area = 81π in.²

exact area = 81π in.²

Approximate:

π = 3.14 (approximately)

area = πr²

area = 81π in²

area = 81 × 3.14 in.²

approximate area = 254.34 in.²

Step-by-step explanation:

Remember that

[tex] \frac{dy}{dx} [/tex]

is the gradient or slope function.

So we need to analyze the slope of each graph over given time.l and how it changes.

For the 1st graph, we have a linear function.

Remember the special properties for all linear functions:

The slope at any two points on the line is the same.

So this means our slope here must be constant.

And since our slope is negative, our dy/dx, function must be a constant function that is negative. So

The answer for the first graph is draw a horizontal line underneath the x axis.

For the 2nd graph, we have a slope that is decreasing, reaches 0 at the minimum, then increases even more.

We can draw a linear function that is increasing forever for our dy/dx.

For the 3rd graph, we are increasing , till we hit 0, then decrease until we hit 0, then forever increases.

Our dy/dx will be a parabola that passes through the x axis twice at two different points, facing upwards.

The first , second, and third graph is the dy/dx graphs shown respectively.

All these are examples of possible graphs. If you need more clarification, let me know

Answer:

10/3 or 3.3 or 3 1/3

Step-by-step explanation

The probability of randomly selecting a can of pink paint is P = 1/3, so the correct option is A.

Assuming that all the cans of paint have the same probability of being randomly selected, the probability that he will choose a pink can is equal to the quotient between the number of pink cans and the total number of cans.

There are 2 cans of white, 4 cans of green, and 3 cans of pink, so a total of 9 cans.

Then the probability is:

P = 3/9 = 1/3.

The correct option is A.

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Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

The Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000.

Insurance is the area of applied mathematics that studies different risks to individuals, property and businesses, and ways to manage these risks. Insurance mathematics relies heavily on calculus, probability, statistics and interest theory.

Here,

For this case, what you should know is that Sue Jones insurance covers half of the expenses.

Equivalently, her insurance covers:

                                     10/20 = 1/2 = 0.5

Therefore, we have then that

a. for Albert

0.5 * (12000) = $ 6000

b. for Sam

0.5 * (8000) = $ 4000

c. total

The sum of the results of parts a and b

$ 6000 + $ 4000 = $ 10,000

Thus, the Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000

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Answer:

Nadya have 11 pieces of ribbon

Answer:

Cube root of 16​

Step-by-step explanation:

x^m/n =n/x^m

4^2/3 = 3/4^2=3/16

So it is Cube root of 16​

Hope This Helped

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,

∠COD = ∠AOB

x + 2y = 50

x = 50 - 2y

Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,

∠BOC + ∠COD = 180°

x - 2y + x + 2y = 180

2x = 180°

x = 90°

Substitue the value of x,

x + 2y = 50

90 + 2y = 50

2y = -40

y = -20

The difference in the value of x and y is,

Difference = 90 - (-20) = 110

Hence, the value of x is 110 more than the value of y.

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Answer:

  C.  ∆LMN ~ ∆OPQ, because of AA

Step-by-step explanation:

All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.

__

No sides are given as congruent, so no congruences can be proved.

Two pairs of corresponding angles are said to be congruent, so we can say ...

  ∆LMN ~ ∆OPQ, because of AA

Answer:

D. 32

Step-by-step explanation:

The minimum value on the stem and leaf plot is 54

The maximum value on the stem and leaf plot is 86

to find the range,

max - min = 86 - 54 which is 32

Answer:

D) 32

Step-by-step explanation:

hope it helps!

Vertex is located over the center of the base of a regular pyramid.

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here,  Vertex is the point which is located over the center of the base of a regular pyramid.

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Answer:

1.01 teaspoons is equal to 5 ml

Step-by-step explanation:

it goes up by ( 0.202884 )

1 ml 0.202884 tsp

2 ml 0.405768 tsp

3 ml 0.608653 tsp

4 ml 0.811537 tsp

5 ml 1.0144 tsp

6 ml 1.2173 tsp

7 ml 1.4202 tsp

Hope This Helped

The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

From the figure:

Volume = 2500 cubic ft

(10)(x)(25) = 2500

250x = 2500

x = 10 ft

Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

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Answer:

C. 3x + 2y = 12

explanation:

Answer:

Coefficients: 7, -4.

Step-by-step explanation:

In the expression 7x-4x^2, the terms are 7x and -4x^2. There are no constants here, which would just be a number by itself. Coefficients are integers written alongside or multiplied by the variable.

In this expression, the variable x has two coefficients (one per term). These are 7 and -4.

Answer:

7

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Answer:

$5555.20

Step-by-step explanation:

F = P + I

I = Prt

I = $4480 × 0.08 × 3 = $1075.20

F = $4480 + $1075.20

F = $5555.20

Answer:

6¹¹

Step-by-step explanation:

Simplifying the numerator :

Solving the expression :

Answer:

53 Meters.

Step-by-step explanation:

34*34 + 41*41 = 2837.

1156 + 1681 = 2837.

The square root of 2837 would be your answer.

34*34 + 41*41 = 53.26349 * 53.26349

a*a + b*b = c*c.

a² + b² = c².

Answer:

21.74

Step-by-step explanation:

AC^2 = AB^2 + BC^2

AC^2 = 34^2  +  41^2

AC^2 =  1156 + 1681

AC^2 = 2837

AC     = Square root of 2837

AC     =  53.26..

meters saved by walking through the pond = (AB+BC)-53.26

=>  (34+41)-53.26

=>   75 - 53.26

=>    21.74

hope this helps:)

The constant of proportionality in terms of the number of flowers per plant is 5.

If two quantities varies directly to each other i.e if y varies proportional to x then

y =kx   .....[1]  where, k is the constant of proportionality.

Suppose, y represents the number of roses and x represents the number of plants.

Given is the graph shows a proportional relationship between the number of plants and the number of flowers on the plants.  The graph attached below has the coordinates points,

(0, 0)

(1, 5)

(2, 10)

(3, 15)

(4, 20)

Substitute any coordinate points like (3, 15) in above equation to find k.

15 =k x 3

k = 5

Therefore, the constant of proportionality in terms of the number of flowers per plant is 5.

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Answer:

5

Step-by-step explanation: