You might have noticed that the numbers, or frequencies, on an old radio dial are not evenly spaced. There is, however, some pattern to the placement of these frequencies. You will analyze this data and answer the following questions.

frequency reading on the radio dial (kilohertz)
distance from the left end of the radio dial (centimeters)
53
1.54
60
2.17
70
2.95
80
3.62
100
4.75
120
5.67
140
6.45
170
7.43



1. a. What is the independent variable and what are its units?
b. What is the dependent variable and what are its units?
2. Make a scatter plot of the data. Describe the data set based on the scatter plot.
b. What do you expect to happen to the distance from the left end of the radio as the frequency gets higher?
c. What do you expect to happen to the distance from the left end of the radio as the frequency gets smaller?

Answer: 435

Step-by-step explanation:

The number of tennis ball mat have is 33.

What is an equation?

a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

We are given that zak has 18 tennis ball and this is 3 times as many as joe have

That means joe has 18/3 = 6 tennis balls

Matt has 9 more tennis ball that matt and joe combined

The combined tennis ball of matt and joe is 18 + 6 =24

Now we add 9 to it so that we have the number of tennis ball matt has

Which is 24+ 9 = 33

Hence matt has 33 balls

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Step-by-step explanation:

A. To find the profit-maximizing level of price and output, we need to find the equilibrium point where the marginal revenue equals marginal cost.

The marginal cost of production is the derivative of the total cost function: MC = dC/dQ = 3.

The marginal revenue is the derivative of the inverse demand function: MR = dP/dQ = -1.

So at the profit-maximizing level of output, MC = MR.

3 = -1

Q = 6

Then we can substitute Q = 6 back into the inverse demand function to find the price:

P (Q) = 12 - Q

P (6) = 12 - 6

P = 6

So the profit-maximizing level of output is 6 units at a price of $6.

B. To find the maximum profit of the firm, we need to calculate the total revenue and the total cost at the profit-maximizing level of output.

The total revenue is the product of the price and the quantity:

TR = P * Q

TR = 6 * 6

TR = 36

The total cost is given by the total cost function:

TC = C (Q)

TC = 3 * Q

TC = 3 * 6

TC = 18

So the maximum profit is the difference between the total revenue and the total cost:

Profit = TR - TC

Profit = 36 - 18

Profit = 18

The maximum profit of the firm is $18 at an equilibrium price level of $6 and an output level of 6 units.

Answer: 1,638

Step-by-step explanation:

Answer:

1638

                 koejdoejdojeeddeddd                              

Angles given in degrees, arcminutes, and arcseconds converted to decimal fraction of degrees.

A. 2 degrees 18′ 36′′ can be rewritten in decimal fraction of degrees as :

    2 + (18/60) + (36/3600) = 2.3111 degrees.

B. 36′ 18′′ can be rewritten in decimal fraction of degrees as :

   (36/60) + (18/3600) = 0.6050 degrees.

C. 7 degrees 59′ 59′′ can be rewritten in decimal fraction of degrees as:

     7 + (59/60) + (59/3600) = 7.9999 degrees.

D. 1′ can be rewritten in decimal fraction of degrees as:

    (1/60) = 0.0167 degrees.

E. 1′′ can be rewritten in decimal fraction of degrees as:

    (1/3600) = 0.0003 degrees.

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The complete question is :

The following angles are given in degrees, arcminutes, and arcseconds. Rewrite them in degrees and decimal fractions of degrees.

A. 2 degrees 18 ′ 36 ′′

B. 36 ′ 18 ′′

C. 7 degrees 59′ 59′′

D. 1′

E. 1′′

The number of euros with Richard in the beginning is 2.5 euros.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the money with Richard at the beginning be $x.

Richard gambled and doubled his money.

Now, the money is 2x.

He gave one euro to his friend and gambled again.

Here, 2x-1

This time he tripled his money.

So, the money is 3(2x-1)

After this he bought a hamburger for two euro.

Now, 6x-3-2

6x-5

Now he had four times the euros in his wallet that he gambled the first time.

Here, 6x-5=4x

6x-4x=5

2x=5

x=2.5

Therefore, the number of euros with Richard in the beginning is 2.5 euros.

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Answer:

1

Step-by-step explanation:

There are 15 men in total;

If each committee is to have 8 men (and assuming one man cannot be in multiple committees), we can simply do the following:

15/8 = 1.875

This means only 1 committee can be made containing exactly 8 men.

You can also think of it like this:
If 8 men make up 1 committee, then this leaves 7 (15 - 8) men left;

Since you need 8 men, there is not enough for a second committee (once again, assuming that one man cannot be in more than one committee).

The number of starting points a ray has is one.

Option B is the correct answer.

A ray is a line that has a starting point and no end.

We have,

A ray is a line that has one fixed point and the other point is endless.

So,

A ray has one starting point.

Thus,

A ray has one starting point.

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Answer:

(a)  Choice A  + everywhere in (π/2, 3π/4)

(b)  Choice A  - everywhere in (π/2, 3π/4)

(c) Choice A    - everywhere in (π/2, 3π/4)

Step-by-step explanation:

This can be answered by knowing that the interval (π/2, 3π/4) lies in the second quadrant which lies between π/2 and π

π/2 = 90° and 3π/4 = 135° which lies in the second quadrant

If an angle  θ lies in the first quadrant, we have the following facts:
sin(θ) is positive

cos(θ) is negative

tan(θ) = sin(θ)/cos(θ) is also negative (+ve divided by -ve is negative)

Therefore sin(t) is positive in the interval (π/2, 3π/4).
Correct choice is A

(b)

cos(t) is negative in the interval (π/2, 3π/4).
Choice A

(c) tan(t) is negative in the interval (π/2, 3π/4).
Choice A

At t = π/2 tan(t) is undefined

Answer:

JCI is the angle :p

Step-by-step explanation:

Answer:

17/30

Step-by-step explanation:

Number of students = 30

Number of girls and A students = 13+4 = 17

Probability of a student being chosen at random being either a girl or an A student = Total Number of girls and A students/Total No of students = 17/30

Probably of a student chosen at random being either a girl or an A student would be 17/30

The probability of choosing a girl or an A student is 17/30 or 0.567.

There are a couple of ways to approach this problem, but one common method is to use the formula:

                  P(girl or A) = P(girl) + P(A) - P(girl and A)

where P(girl) is the probability of choosing a girl, P(A) is the probability of choosing an A student, and P(girl and A) is the probability of choosing a student who is both a girl and an A student.

To calculate each of these probabilities, we first need to find the total number of girls and A students in the class:

                 Total number of girls: 13

                 Total number of A students: 4 boys + 5 girls = 9

Now we can calculate each probability:

                  P(girl) = number of girls / total number of students = 13 / 30

                  P(A) = number of A students / total number of students = 9 / 30

                  P(girl and A) = number of girls who made an A / total number of students = 5 / 30

Plugging in the values, we get:

                  P(girl or A) = P(girl) + P(A) - P(girl and A)

                  = 13/30 + 9/30 - 5/30

                  = 17/30

Therefore, the probability of choosing a girl or an A student at random from the class is 17/30, or about 0.567.

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The ratio of malts to shakes is 3:7 if 14 shakes are sold for every 6 malts.

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. A ratio is a tool for comparing like-kind quantities or illustrating relationships between them. To compare similar items, we employ ratios.

Let the number of shakes be S and the number of malts be M.

Given: Number of shakes sold = 14 shakes

Number of malts sold = 6 malts

To find the ratio of malts to shakes:

The ratio of malts to shakes exists given by the expression:

M/S = Number of malts sold/Number of shakes sold

Substituting the given parameters into the formula, we have;

M/S = 6/14

M/S = 3/7

Therefore, the ratio of malts to shakes is 3 : 7.

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1) to obtain the value of x, we must equate AC and BD based on the diagonal properties of a rectangle. Note that a rectangle's diagonal divides it into two congruent right triangles.

A rectangle's diagonals are all the same length. A square is a quadrilateral whose diagonals bisect each other, intersect at right angles, and are congruent.

Thus,

Since BD = AC

2x + 19 = 5x - 2

To solve the equation 2x + 19 = 5x - 2, we need to isolate x on one side of the equation.

First, we can simplify both sides by combining like terms. Subtracting 2x from both sides gives:

19 = 3x - 2

Next, we can isolate x by adding 2 to both sides:

21 = 3x

Finally, we can solve for x by dividing both sides by 3:

x = 7

Therefore, the solution to the equation 2x + 19 = 5x - 2 is x = 7

b) The Properties of Parallel Lines Intersected by a Transverse Postulate states that when a transversal intersects two parallel lines, the corresponding angles are congruent, the alternate interior angles are congruent, and the same-side interior angles are supplementary. This means that

∠LMN + ∠MNK = 180°

Thus,

115 +  ∠MNK = 180

∠MNK = 180 - 115

∠MNK = 65°

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Answer:

The correct answer is C. $575. The business bought equipment with $150 cash and put $425 on credit, so the total value of the asset is $575 ($150 + $425).

Answer:

323/7 or about 46.143

Step-by-step explanation:

We can infer that the measure of B + C is 90 degrees, so 6x + 1 + 8x - 11 must be equal to 90.

6x + 1 + 8x - 11 = 90
14x - 10 = 90

14x = 100

x = 100/14

x = 50/7

Solve for the measure of C by substituting x with 50/7.

50/7 * 8 = 400/7

400/7 - 11 = 323/7

the measure of C is 323/7

The standard form is 6[tex]x^4[/tex] + 10x³ - 4x² - 15x + 5.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(3x−1) (2x³ +4x² −5)

Simplifying

3x (2x³ +4x² −5) - 1 (2x³ +4x² −5)

6[tex]x^4[/tex] + 12x³ - 15x - 2x³ - 4x² + 5

Adding the like terms.

6[tex]x^4[/tex] + 10x³ - 4x² - 15x + 5

Thus,

6[tex]x^4[/tex] + 10x³ - 4x² - 15x + 5

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m and n are the two numbers that form the fraction which is the probability of a randomly chosen positive divisor of [tex]10^99[/tex] being an integral multiple of [tex]10^88[/tex].

Let the probability of a randomly chosen positive divisor of [tex]10^99[/tex]being an integral multiple of 10^88 be represented as m/n.

Since [tex]10^99[/tex]is a multiple of [tex]10^88[/tex], its positive divisors will also be multiples of [tex]10^88[/tex].

Therefore, the probability that a randomly chosen divisor of [tex]10^99[/tex]is an integral multiple of [tex]10^88[/tex] will be 1, i.e., m/n = 1.

Therefore, m+n = 1+1 = 2

Hence, the value of (m+n) is 2.

m and n are two numbers that form a fraction in lowest terms, which is the probability that a randomly chosen positive divisor of [tex]10^99[/tex] is an integral multiple of [tex]10^88[/tex]. To find the value of (m+n), we need to first determine the value of m and n. To do this, we must first calculate the total number of positive divisors of [tex]10^99[/tex]that are integral multiples of [tex]10^88[/tex]. We can then divide this number by the total number of positive divisors of [tex]10^99[/tex] to get the fraction. The numerator of this fraction is m and the denominator is n. The sum of m and n is the answer to the question. This is because the fraction gives us the probability that a randomly chosen positive divisor of [tex]10^99[/tex] is an integral multiple of [tex]10^88[/tex], and the sum of m and n is the total number of positive divisors of[tex]10^99[/tex], which is the denominator of the fraction. Therefore, the value of (m+n) is the sum of the numerator and denominator of the fraction.

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The expected value of x is (m+1)/2, and m must be a positive integer.

The expected value of x is the average value of x that we would expect to get if we selected an integer from the set {1, 2, ..., m} many times. To find the expected value of x, we multiply each possible value of x by its probability of being selected and then sum these products. In this case, each integer in the set {1, 2, ..., m} has an equal probability of being selected, so the expected value is (1 + 2 + ... + m) / m = (m(m+1)) / 2m = (m+1) / 2. So the expected value of x is (m+1)/2, and m must be a positive integer.

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Answer:

a) $0.05 per ounce

b) $0.06 per ounce

c)The best buy would be 1lb for .80

Step-by-step explanation:

.80/16 = .05   16 ounces in a pound

1.95/32 = .06  32 ounces in 2 pounds

Annual percentage rate (APR) for mortgages differs from a

more traditional interest rate as APR includes other charges and fees while interest rates do not include it.

The annual cost of a loan to a borrower is referred to as interest rate, and it is indicated as a percentage.

APR represents the total yearly cost of a loan to the borrower, including all fees. The APR is stated as a percentage, just like an interest rate. It does, however, contain other costs or fees such mortgage insurance, the majority of closing costs, discount points, and loan origination fees, unlike an interest rate.

Hence, Annual percentage rate (APR) for mortgages differs from a

more traditional interest rate as APR includes other charges and fees while interest rates do not include it.

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The frequency of each drink in the statistics class can be found to be :

The frequency of something refers to the number of times that thing happens. In this case, it therefore means the number of students who prefer a certain drink over the other ones.

From the table, the number of students who chose Sprite was 6 students. 5 students chose Dr Pepper and 11 students chose Coke. Then only a single student chose Mtn Dew while 7 students chose Pepsi.

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Answer: 108

Step-by-step explanation:

5+7 = 12

They split it into 12 parts.

Kunle gets 5/12, Peter gets 7/12

7/12 of 180

Divide by the bottom, multiply by the top

180/12 = 15

15x7 = 105

Therefore, Peter gets 108 marbles.

Please make me brainliest!

Answer:

k:p 5+7=7/12×180=15×7=105

When Daniel creates the linear equation, he will notice that the relationship between time spent and distance travelled is proportional.

The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.

Now,

When we create a linear equation for the distance of the hike, we will get a graph with a straight line.

A straight line's general equation is

y = mx + c

where m = is the slope of the line and

          c  = is the y-intercept

          y = the distance covered

          x = the time taken

Because distance is directly proportional to time,

more distance is covered in less time

Distance ∝ time

Hence,

          Daniel will notice that the relationship between the time spent and distance covered are proportional.

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Answer:

Substitute y = 12x + 7

12x+7=-6+25

Simplify

12x+7=19

Solve

19-7=12

12x=12

x=1

The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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Answer: The equation that can be solved for t to find the time (in seconds) when the diver hits the water is:

h(t) = 25 - 16e^(-ft) = 0

Where h(t) is the height of the diver in feet at time t, and f is a positive constant related to the speed of the fall.

To find the time when the diver hits the water, we set h(t) equal to zero and solve for t. This gives us the time when the height of the diver is equal to the water surface.

25 - 16e^(-ft) = 0

25 = 16e^(-ft)

e^(-ft) = 25/16

-ft = ln(25/16)

t = -ln(25/16)/f

Note that the negative sign in the equation for t indicates that the time is counted from the moment the diver starts falling. The constant f can be determined from the physical characteristics of the diver and the conditions of the fall, but it is not necessary to know the exact value of f to find the time when the diver hits the water.

Step-by-step explanation:

Anita can type between 60 and 75 words per minute and it took her 43 minutes to type a 12 page report.

The formula to calculate the total number of words in a report is: (words per minute * minutes) = total words. In this case, anita can type between 60 and 75 words per minute, so to solve for the total words in the 12 page report, we need to average her words per minute. This would be (60 + 75) / 2 = 67.5 words per minute. So, now the equation looks like this: (67.5 words per minute * 43 minutes) = 2,888.5 total words in the report.

To break the equation down further, we can say that for every minute Anita types, she is typing 67.5 words. This means that for every minute she types, she is typing 1.125 pages. In other words, for every 8 minutes she types, she is typing 9 pages. Therefore, to type 12 pages in 43 minutes, Anita is typing approximately 9.2 pages per 8 minutes.

To summarize, Anita can type between 60 and 75 words per minute and it took her 43 minutes to type a 12 page report. Using the formula (words per minute * minutes) = total words, we can calculate that the total number of words in the report is 2,888.

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