As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement development. You currently charge each client a development fee of $7,200. With this pricing structure, ISeeYou is able to sign 6 contracts per month. This is down from 14 contracts, which was the figure last year when your company charged each client only $4,000. (a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign q contracts per month (B) Find the total revenue R ISeeYou obtains by signing q contracts.(c) The costs to ISeeYou Productions are estimated as follows:
Fixed costs: $16,000 per month
Variable costs: 800q dollars (when q contracts are signed)
Express ISeeYou Productions' monthly cost as a function of the number q of contracts.
C(q) =


(d) Express ISeeYou Productions' monthly profit as a function of the number q of contracts.
P(q) = .

(e) How many contracts could ISeeYou sign to break even? (Enter the lower value first.)
ISeeYou breaks even when they sign

Both planes have a speed of 340 miles per hour and 510 miles per hour, respectively.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let tc be the time of commercial jet and tp be the time of private airplane.

Let vc be the speed of commercial jet and vp be the speed of private airplane.

Let dc be the distance of commercial jet and dp be the distance of private airplane.

now,

dc=dp

vc=vp+170

vc*tc=vp*tp

(vp+170)*1.2=vp*1.8

(vp+170)*2=vp*3

2vp+340=3vp

vp=340 miles/hour

vc=340+170

vc=510 miles/ hour

The speed, in miles per hour, of both airplanes is 340 miles per hour and 510 miles per hour.

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

Learn more about trig identities here: https://brainly.com/question/7331447

#SPJ1

Answer:

21 cups of sugar

Step-by-step explanation:

so it gives you the ratio for cups of sugar(or as i'm going to use it, COS) and cups of flower(COF), which is 3:2, so if you have 14 cups of flower, you would divide 14 by the COF part of the ratio, which is 2, which gives you 7, then you would multiply the COS part of the ratio, which is 3, by 7 to get the number of cups of sugar needed for 14 cups of flower.

The line that is an irregular line of a blank verse is A . “ He only says , ‘Good fences make good neighbours. ”

The irregularity of the line is that it has 11 syllables while other lines have 10 syllables .

Unrhymed but metric poetry with usually always iambic pentameter is referred to as "blank verse" in literature.

Going by the definition, the three bottom lines are regular lines in a blank verse as they have 10 syllables. However, the first line, has 11 syllables, thereby making it irregular.

Find out more on blank verses at https://brainly.com/question/1991599

#SPJ1

Standard form:

x - y = 7

Factored form:

y = x - 7

Answer:

y = x - 3 - 4

y = x - 7

(x - 7 = y)

(x = y + 7)

Step-by-step explanation:

Hope you got it.

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

To know more about equation,

https://brainly.com/question/2228446

#SPJ9

Answer: you can maybe show them being trapped in the bathroom them come in with a sharp knife and splash or put ketchup on the part you stabbbed them

Step-by-step explanation:

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

For more questions on Rational .

https://brainly.com/question/30339525

#SPJ8

Answer:

Tanisha = 14 years

Ana = 7 years

Elicia = 16 years

Step-by-step explanation:

Let T = age of Tanisha

Let A = age of Ana

Let E = age of Elicia

Tanisha is twice as old as Ana:  

T = 2A

⇒ A = (1/2)T

Elicia is 2 years older than Tanisha:

E = 2 + T

Sum of all their ages is 37:

A + E + T = 37

Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:

⇒ (1/2)T + 2 + T + T = 37

⇒ (5/2)T = 35

⇒ T = 14

If T = 14, then

A = (1/2)T = (1/2) 14 = 7

If T = 14, then

E = 2 + T = 2 + 14 = 16

Answer:

No, because the Central Limit Theorem posits that regardless of the shape of the underlying​ population, the sampling distribution of bar x becomes approximately normal as the sample​ size (n) increases.

The sampling distribution of x is;

\(\mu_{\overline x} = \mu = 53\)

Step-by-step explanation:

Given that:

The sample size n = 53

The population mean μ = 53

The standard deviation σ = 7

The sampling distribution of x is;

\(\mu_{\overline x} = \mu = 53\)

Sampling distribution of the standard deviation is:

\(\sigma _x =\dfrac{\sigma}{\sqrt{n}}\)

\(\sigma _x =\dfrac{7}{\sqrt{53}}\)

\(\sigma _x =\dfrac{7}{7.28}\)

\(\sigma _x =0.96\)

Answer:

\(\ S=\sqrt{\dfrac{3V}{H}}}\)

Step-by-step explanation:

The opposite operation of squaring is taking the square root.

\(\ S=\sqrt{\dfrac{3V}{H}}}\)

We know that the denominator of a fractional power is the index of the corresponding root:

\(\displaystyle x^\frac{1}{n}=\sqrt[n]{x}\)

For n=2, we don't usually write the index in the root symbol:

\(x^{\frac{1}{2}}=\sqrt{x}\)

In the case of this problem, ...

\((S^2)^{\frac{1}{2}}=\left(\dfrac{3V}{H}\right)^{\frac{1}{2}}\\\\S=\sqrt{\dfrac{3V}{H}}\)

Para dibujar un triángulo con un ángulo de inclinación de 45° realiza dos líneas perpendiculares y una tercera línea con un grado de 45° lo cual puedes hacer usando un transportador.

Un triángulo es una figura con tres lados y cuyos ángulos internos siempre suman 180°. El método más fácil para dibujar un triángulo con un ángulo de 45° es.

Aprenda más sobre ángulos en https://brainly.com/question/16701917

#SPJ1

Answer:

let x=2t and y=5t

-x+3y = -2t+15t = 13t

2x+y = 4t+5t = 9t

So the ratio is 13t : 9t

So, the ratio is 13 : 9

Answer: 16/45 or .355 is the recipe conversation factor

Step-by-step explanation:

150×6=900

40×8= 320

320/900 = 16/45 or 0.355

Figure out what the total amount of ounces the original recipe will make. Then the total amount you need to make. Set up a proportion of the needed amount to the original amount.

You will multiply each original mesurement in the original by the conversation factor to get the measurements you need.

Answer:

111

Step-by-step explanation:

we can get by finding the difference of 180 degree minus 69 degree

x+69 degree = 180 degree

x= 180 degree-69 degree

x=111 degree

Answer:

\(A) x+y=100 \\ ..\ 5x + y = 420\)

Step-by-step explanation:

From the question we are told that:

Five-dollar bill  x

One-dollar bill  y

Total number of bills \(N=100\)

Worth of bills \(w=420\)

Generally the equation for Total number of bills  is mathematically given by

Since it is made up of five and one dollar bills

Therefore

  \(x+y=100\)

Hence the Equation for Total worth of bills is

 \(5x+y=420\)

The System of equations used is

\(A) x+y=100 \\ ..\ 5x + y = 420\)

Answer:

The true mean contents of the cans being filled by this machine with 95% confidence is between 11.891 ounces and 11.949 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 34

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.032

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.032\frac{0.085}{\sqrt{35}} = 0.029\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 11.92 - 0.029 = 11.891 ounces.

The upper end of the interval is the sample mean added to M. So it is 11.92 + 0.029 = 11.949 ounces.

The true mean contents of the cans being filled by this machine with 95% confidence is between 11.891 ounces and 11.949 ounces.

Using the substitution the system of equations y + 4 = x and 10x + 2y + 16 is solved to be

Substitution involves replacing a value with it's equal

The given equation include

y + 4 = x

10x + 2y + 16

substituting x = y + 4 into 10x + 2y + 16

10x + 2y + 16

= 10(y + 4) + 2y + 16

= 10y + 40 + 2y + 16

collecting like terms

= 12y + 16

12y = -16

y = -16/12

y = -4/3

substituting y = -4/3 into x = y + 4

x = -4/3 + 4

x = 8/3

Learn more about substitution here:

https://brainly.com/question/29431444

#SPJ1

Answer:

3, 5, 7 are correct

Step-by-step explanation:

the function is linear and continious b/c it is written in the form of ax + b=f(x).

y -intercept is 2.

the slope is -2.

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

The expression that represents the area of the given door is (3w+8)w.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.

This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

So, we know that:
width = w

And we also know that:

length = 3w + 8

Now, the area formula is:
l*w

Insert values as follows:

l*w

(3w + 8)w

Therefore, the expression that represents the area of the given door is (3w+8)w.

Know more about expressions here:

https://brainly.com/question/1859113

#SPJ9

I will first sketch the problem then solve

Below is the sketch of the problem in other to give a clearer understanding

Let x be the length of the slope down to the lake

Using the trigonometric ratio

cos θ = adjacent/hypotenuse

cos 5.1 = 12 462 / x

x = 12 462 / cos 5.1

x = 12 511. 53

Answer:

Step-by-step explanation:

Let the probability of winning from left side be L and from right side by R .

Let the probability of winning by king be K .

Given information can be summarised as follows :

P(L) = .6

P(R) = .75

P K/(L∩R)=.98

P K/(L∩R')= .8

P K/(L'∩R) = .5

P K/(L∩R)' = .2

Probability of win by King can be summarised as follows .

P(k) = P(L∩R) x P K/(L∩R) + P(L∩R') x P K/(L∩R') + P(L'∩R) x P K/(L'∩R) + P(L∪R)' x P K/(L∪R)'

P(L∩R) = .6 X .75 = .45

P(L∪R) = P(L) +P(R) -  P(L∩R)

= .6 +.75 - .45 = .90

P(L∪R)' = 1 - P(L∪R) = .10

P(L∩R') = P(L)  - P(L∩R) = .6 - .45 = .15

P(L'∩R) = P(R) - P(L∩R) = .75 - .45 = .30

P(k) = P(L∩R) x P K/(L∩R) + P(L∩R') x P K/(L∩R') + P(L'∩R) x P K/(L'∩R) + P(L∪R)' x P K/(L∪R)'

= .45  x .98 + .15 x .8 + .30 x .5 + .1 x .2

= .441 + .12 + .15 + .02

= .73 approx .  

Answer

=sin (u -v)

Step-by-step explanation:

sin ( u-v):     sin(u-v)

Answer:

the answer to your questionis (-1,7)

I hope this helps

The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

For more question on function visit:

https://brainly.com/question/11624077

#SPJ8

Note the complete question is

Answer:

\(12\:\mathrm{ft}\)

Step-by-step explanation:

When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the \(30^{\circ}\) angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:

\(\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}\).

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

For more such questions on possible outcomes

https://brainly.com/question/30241901

#SPJ8