The annual sales of home entertainment equipment in your area is $23 million. You want to capture 15% of the market. How much will you have to sell to achieve your goal? Show your work.

The equation representing visual models is z+1/5=3/5.

Since it is given in the question that the hanger image represents a balanced equation therefore equating LHS with RHS it can be written as follows.

LHS = 1/5 + z

RHS = 3/5+ z

Equating both the equations it can be written as

LHS = RHS

1/5+z=3/5

or z=3/5-1/5

Therefore, z=2/5

Hence, for z=2/5 the hanger will represent a balanced equation.

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Answer:

- 2 + 5 = 3

Step-by-step explanation:

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

The given acceleration of a particle is a(t) = −4t, 0 ≤ t ≤ 2. The weight of the particle at t = 0 is 2 (2pt). The steps to solve the given problem are as follows:a) Find v(t), the velocity function, for the particle: Velocity is the rate of change of displacement.

Given, the acceleration of a particle is a(t) = −4t, 0 ≤ t ≤ 2. The weight of the particle a t t = 0 is 2 (2pt).a) Find v(t), the velocity function, for the particle:Velocity is the rate of change of displacement. Hence, integrating the given acceleration with respect to time will give us the velocity function. The initial velocity of the particle is 0 as v(0) = 0. The velocity function is given by,v(t) = ∫a(t) dt = ∫−4t dt = −2t2 + CWhere C is a constant of integration. v(0) = 0, so C = 0.v(t) = −2t2Thus, the velocity function for the particle is v(t) = −2t2.b) Find the displacement of the particle over the first three seconds:The displacement of the particle can be found by integrating the velocity function with respect to time. The displacement of the particle at t = 0 is 0 as x(0) = 0. Hence, the displacement of the particle over the first three seconds is,x(t) = ∫v(t) dt = ∫−2t2 dt = −2/3 t3 + CWhere C is a constant of integration. x(0) = 0, so C = 0.x(t) = −2/3 t3Therefore, the displacement of the particle over the first three seconds is x(3) = −2/3 (3)3 = −18.c) Find the total distance traveled by the particle over the first three seconds:The distance traveled by the particle over the first three seconds is given by the absolute value of the displacement of the particle as the displacement can be negative. Hence, the total distance traveled by the particle over the first three seconds is,Distance = |x(3)| = |-18| = 18.Thus, the main answers to the given problem are:a) The velocity function for the particle is v(t) = −2t2.b) The displacement of the particle over the first three seconds is x(3) = −18.

Velocity function for the given acceleration of a particle has been found, and the displacement of the particle over the first three seconds has been calculated. Further, the total distance traveled by the particle over the first three seconds has also been determined

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\(82x - 33\) ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\(5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

rational

Step-by-step explanation:

cause it can be written as a fraction.

The apparent dip of the rock is approximately 31.33°, the horizontal thickness is approximately 69.28 m, the vertical throw is approximately 18.87 m, and the horizontal distance across the fault is approximately 40.55 m. A reverse fault is characterized by the upward displacement of the hanging wall relative to the footwall, resulting from compressional forces in the Earth's crust.

1. Calculating Apparent Dip:

Apparent dip can be calculated using the formula: Apparent Dip = atan(sin(True Dip) / cos(Angle between True Dip and Apparent Dip)).

Given that the true dip angle is 40° and the angle between true dip and apparent dip is 54°, substituting these values into the formula, we get:

Apparent Dip = atan(sin(40°) / cos(54°)).

Calculating this, we find that the apparent dip of the rock is approximately 31.33°.

2. Calculating Horizontal Thickness:

Horizontal Thickness can be calculated using the formula: Horizontal Thickness = Stratigraphic Thickness * cos(Dip Angle).

Given that the stratigraphic thickness is 80 m and the dip angle is 30°, substituting these values into the formula, we get:

Horizontal Thickness = 80 * cos(30°).

Calculating this, we find that the horizontal thickness of the rock is approximately 69.28 m.

3. Calculating Vertical Throw:

Vertical Throw can be calculated using the formula: Vertical Throw = Stratigraphic Throw * sin(Dip Angle).

Given that the dip angle is 20° and the stratigraphic throw is 55 m, substituting these values into the formula, we get:

Vertical Throw = 55 * sin(20°).

Calculating this, we find that the vertical throw is approximately 18.87 m.

4. Calculating Horizontal Distance:

Horizontal Distance can be calculated using the formula: Horizontal Distance = Vertical Throw / tan(Dip Angle).

Given that the dip angle is 35° and the vertical throw is 50 m, substituting these values into the formula, we get:

Horizontal Distance = 50 / tan(35°).

Calculating this, we find that the horizontal distance across the fault is approximately 40.55 m.

A reverse fault is a type of geological fault where the hanging wall moves upward relative to the footwall. It occurs in response to compressional forces in the Earth's crust, where the crustal rocks are being squeezed together.

To aid in the explanation, let's consider a simple sketch:

```

    Upward movement

           ^

           |

           |

 ---------------------------------------

 |                                     |

 |                Hanging wall          |

 |                                     |

 |-------------------------------------|

 |                                     |

 |                Footwall              |

 |                                     |

 ---------------------------------------

          |

          |

      Downward movement

```

In the sketch, the horizontal line represents the fault plane, which is the surface where the movement occurs. The hanging wall is located above the fault plane, while the footwall is below it.

In a reverse fault, the compressional forces cause the hanging wall to move vertically upward relative to the footwall. This upward movement can result in the formation of mountain ranges or elevated landforms. The angle at which the fault plane is inclined determines whether it is a steep or shallow reverse fault.

Reverse faults are commonly associated with convergent plate boundaries, where two tectonic plates collide. The intense pressure and compression in these regions lead to the formation of reverse faults, accommodating the horizontal shortening of the crust.

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Answer:

g(x) = |x + 4| - 2

I recommend next time you try substituting the x-values from points the line meets into each function until g(x) matches the y-value. For example, the line/function passes through the point (1, 3).  Substitute the x-value: 1 into the function where it says x. That would give you 3 = |1 + 4| - 2. (If you're wondering where I got 3 from g(x) is basically the same as y. Simplify the values in the "||" first. You should then get 3 = 5 - 2. Simplify that and you get 3 = 3 which means g(x) = |x + 4| - 2 is the correct answer. If you were to get anything else other than 3 such as "3 = 4", it would not be correct.

Answer:

A

Step-by-step explanation:

100 on my unit review

Answer: To compare the lengths of two strings, we simply need to compare the numerical values assigned to each string. In this case, string A has a length of "V 18 in", which can be interpreted as 18 inches, and string B has a length of "5.42 in".

When comparing numerical values, we can use the symbols ">" (greater than), "<" (less than), or "=" (equal to) to indicate the relationship between the values.

Since 18 is a larger value than 5.42, we can say that the length of string A is greater than the length of string B:

18 in > 5.42 in

Step-by-step explanation:

The slope of the function is 1.

The whole function is simply f(x)=x+3

Answer:

23

Step-by-step explanation:

Every triangle adds up to 180 so we would add all of these expressions up and set them equal to 180. 13x-11+8x-9+30x-4=180. Simplify to 51x-24=180. Opposite operation with negative 24. 51x=204. Yet, again do the opposite operation to isolate x, 204/54, which leaves the answer of 4. But that is not the question. It is asking for angle W, well since we know what x is, we are able to plug in x to the expression used in angle W, 8(4)-9 which brings tha answer of 23 :)

The ratio of junior to adult = 6/5

What is proportion?

An equality between two ratios. According to proportion, if 2 sets of given numbers area unit increasing or decreasing within the same quantitative relation, then the ratios area unit aforesaid to be directly proportional to every different.

Main body:

Given - data in the question

To find answer the question

Solution - Let no of junior, children and adults be x, y, z respectively.

Now, ratio of junior to children = 1/3

So, x = 3y

Ratio of children to adult = 5/2

So, 5y = 2z

.(2)

So, from (1) we get, y = x / 3

So, 5x / 3 = 2z

⇒5x = 6z

⇒ x/z=6/5

Hence, the ratio of junior to adult = 6/5

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The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.

This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.

We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.

This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.

We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.

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To find the time at which the concentration of the dye first reaches the value of 0.55, we need to analyze the given data and determine the rate at which the concentration changes over time.

This can be done by plotting the concentration values over time and observing the trend. Plot the concentration values: Plot the concentration values on a graph, with time on the x-axis and concentration on the y-axis. Each data point represents a specific time and the corresponding concentration value.

Analyze the trend: Examine the plotted graph to observe how the concentration changes over time. Look for any patterns or trends in the data.

Identify the time t: Locate the point on the graph where the concentration reaches 0.55. This will be the time t at which the concentration of the dye first reaches the value of 0.55.

Read the time value: Once you have identified the point on the graph where the concentration reaches 0.55, read the corresponding time value on the x-axis. This will give you the specific time at which the concentration reaches 0.55.

To find the time at which the concentration of the dye first reaches the value of 0.55, you can use a graph to visualize the data. Plot the concentration values on the y-axis and time on the x-axis. Each data point represents a specific time and the corresponding concentration value.

Once you have plotted the data, analyze the trend to see how the concentration changes over time. Look for any patterns or trends in the graph. The graph might show that the concentration is increasing, decreasing, or fluctuating.

Locate the point on the graph where the concentration reaches 0.55. This will be the time t at which the concentration of the dye first reaches the value of 0.55. Read the corresponding time value on the x-axis to determine the specific time at which the concentration reaches 0.55.

To find the time t at which the concentration of the dye first reaches the value of 0.55, plot the concentration values on a graph, analyze the trend, locate the point where the concentration reaches 0.55, and read the corresponding time value on the x-axis.

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(a) Randomized controlled trial, (b) Development of polio, (c) Vaccine and placebo, (d) Substance with no therapeutic effect, (e) To ensure statistical power and precision, (f) Yes, the vaccine appears effective as fewer cases of polio were observed in the experimental group.

(a) This experimental design is a randomized controlled trial.

(b) The response variable is the development of polio in the children.

(c) The treatments are the vaccine (given to the experimental group) and the placebo (given to the control group).

(d) A placebo is a substance or treatment that has no therapeutic effect but is administered to the control group in order to account for any psychological or contextual effects.

(e) Such a large number of subjects is needed to ensure statistical power and increase the precision of the results. With a larger sample size, the study can better detect and measure the effectiveness of the vaccine.

(f) Based on the given information, it appears that the vaccine was effective. The number of polio cases in the experimental group (33) is significantly lower compared to the control group (115), suggesting that the vaccine helped prevent the development of polio. However, further analysis and statistical testing would be required to establish the statistical significance of the results.

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Answer:

B is correct. To divide powers with like bases, subtract the exponents, and keep the same base.

We can pose this question in the following way:

The value for x and BC are:

Then, x = 2. And BC is :

If Abby deposited $3000 and has $3600 at the end of 8 years, then the interest-rate is 2.5%.

The "Simple-Interest" is the interest which is calculated based only on principle amount of a loan or investment, without taking into account any additional interest earned on previous periods.

We can use the simple interest formula to find the annual interest rate:

⇒ Simple Interest = Principle × Rate × Time,

Where: Principle is = initial deposit of $3000,

Rate = annual interest rate (what we need to find)

Time = number of years the money was invested = 8,

The Simple Interest earned over 8 years : $3600 - $3000 = $600,

Substituting the values,

We get,

⇒ $600 = $3000 × Rate × 8,

⇒ Rate = 600/(3000 × 8),

⇒ Rate = 0.025, or 2.5%.

Therefore, the annual interest rate on the account is 2.5%.

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To determine the topological sorts for the dependency graph of Fig. 5.7, I would need more information or a description of the specific dependencies in that graph. Without any knowledge of the graph's structure or dependencies, it is not possible to provide a specific answer.

However, in general, the correct answer to the question is:

a. The topological sorts depend on the specific dependencies in Fig. 5.7.

The topological sort of a directed acyclic graph (DAG) is not unique and can vary depending on the specific ordering of the vertices and their dependencies. Therefore, there can be multiple valid topological sorts for a given dependency graph.

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The graph of the vertex set and edge set is illustrated below.

The given vertex set V = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is a collection of 10 nodes. The edge set E = {{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10}} contains 9 pairs of vertices, representing the connections between them.

To draw the graph, we can represent the vertices as circles or dots, and draw lines between the vertices that are connected by an edge. In this case, we can draw 10 circles or dots, one for each vertex, and connect the vertices that are connected by an edge using lines.

Using this method, we can draw the graph as follows:

In this graph, each vertex is represented by a numbered circle, and each edge is represented by a line connecting two vertices. For example, edge {1,6} connects vertex 1 and vertex 6.

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Using a linear function, it will take 8 years for the Springfield zoo to have 35 gorillas.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the parameters are given as follows:

m = 4, b = 3.

Hence the number of gorillas after x years is given by:

G(x) = 3 + 4x.

It will have 35 gorillas when:

G(x) = 35.

Hence:

3 + 4x = 35.

4x = 32.

x = 32/4

x = 8.

It will take 8 years for the Springfield zoo to have 35 gorillas.

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Answer:

Step-by-step explanation:

Given linear equation:

Meaning of each term is:

According to above details the correct answer choise is B

Answer:

b

Step-by-step explanation:

bc i did the schoolnet thingy

The time required to fill the cone is approximately 40096.7 minutes.

The hose dispenses 1413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm.

we can use the formula for the volume of a cone which is:

V = 1/3πr²h

where V is the volume of the cone, r is the radius of the cone, h is the height of the cone and π is the value of Pi.

For the given cone, radius = 60 cm and height = 150 cm.

The volume of the cone can be calculated using the formula as:

V = 1/3 × π × r² × h

V = 1/3 × π × 60² × 150V = 1/3 × π × 360000 × 150V = 56637028.317

Now we can find the time taken to fill the cone using the formula as:

Time = Volume / Rate

Here, Rate is the amount of water dispensed in 1 minute = 1413 cm³/min

Therefore, Time = 56637028.317 / 1413Time = 40096.7 minutes (Approx)

Therefore, the time required to fill the cone is approximately 40096.7 minutes.

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Answer:

C

Step-by-step explanation:

Answer

8:28 Hope this helps.

Mr. Kirov will need to make 5 more payments before the balance is zero.

To determine the number of more payments Mr. Kirov needs to make before the balance is zero, we need to analyze the given information.

The Present Value of an Ordinary Annuity Formula is used to determine the balance. The following is the formula:

Present Value equals.... (1)

in the formula provided,

PV, or the first balance, is equal to $800.

P = $100 per month in payments

The Present Value of an Ordinary Annuity Formula is used to determine the balance. The following is the formula:

Present Value equals.... (1)

in the formula provided,

PV, or the first balance, is equal to $800.

P = $100 per month in payments

0.012 is the monthly interest rate.

The number of months is n. (It is equal to how many payments have been made overall till the amount reaches zero)

Using equation (1) to solve for n and the values of the aforementioned variables, we obtain:

800 = 100*((1 - (1 / (1 + 0.012))^n) / 0.012)

800/100 = (1 - (1 / 1.012)^n) / 0.012

8*0.012 = 1 - (0.9881)^n

0.096 = 1 - (0.9881)^n

⇒ (0.9881)^n = 1 – 0.096

⇒ (0.9881)^n = 0.904

If we combine the logs from both sides, we get:

log0.904 = n*log(0.9881)

log0.904 / log0.9881

n = -0.0438315 / -0.005180

n = 8.4608 ≅ 8

Since there had already been three payments

Using equation (1) to solve for n and the values of the aforementioned variables, we obtain:

800 = 100*((1 - (1 / (1 + 0.012))^n) / 0.012)

800/100 = (1 - (1 / 1.012)^n) / 0.012

8*0.012 = 1 - (0.9881)^n

0.096 = 1 - (0.9881)^n

(0.9881)^n = 1 – 0.096

(0.9881)^n = 0.904

If we combine the logs from both sides, we get:

n*log(0.9881) = log0.904

n = log0.904 / log0.9881

n = -0.0438315 / -0.005180

n = 8.4608 ≅ 8

Given that Mr. Kirov has already made three payments in accordance with the information in the question, it is determined how many more payments he must make before the amount is zero as follows:

The number of additional payments is equal to   n – 3 = 8 – 3 = 5 payments

Therefore, Mr. Kirov will need to make 5 more payments before the balance is zero.

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Okay, here we have this:

Considering the provided equation, we are going to rewriting it into slope-intercept form. So we obtain the following:

6x+2y=6

2y=-6x+6

y=(-6x+6)/2

y=-3x+3

Finally we obtain that the equation of the line is slope-intercept form is y=-3x+3. Then replacing in y=mx+b, we have:

y=-3x+3

y=mx+b

Then, m=-3 and b=3.

Answer: 1,3,5

Step-by-step explanation: 1. the sum of a number , 2. A number plus ten, 5. Ten more then a number

Edge 2021

Given:

Arc(AB) = 78 degrees

Measure of angle CMD = 106 degrees

To find:

The measure of arc CD.

Solution:

Secant intersection theorem: If two secant of a circle intersect each other inside the circle, then the intersection angle is the average of intercepted arcs.

Using secant intersection theorem, we get

\(m\angle CMD=\dfrac{1}{2}(Arc(AB)+Arc(CD))\)

\(106^\circ=\dfrac{1}{2}(78^\circ+Arc(CD))\)

Multiply both sides by 2.

\(212^\circ=78^\circ+Arc(CD)\)

\(212^\circ-78^\circ=Arc(CD)\)

\(134^\circ=Arc(CD)\)

Therefore, the measure of arc CD is 134 degrees and the correct option is C.