A television producer designs a program that will include a comedian and

time for commercials. The advertiser insists on at least 2 minutes of

advertising time. The station insists on no more than 4 minutes of

advertising time and the comedian insists on at least 24 minutes of the

comedy program. The total time allotted for the advertising and comedy

portion cannot exceed 30 minutes. If it has been determined that each minute

of advertising (very creative advertising) attracts 40,000 viewers and each

minute of comedy time attracts 45,000 viewers, how should the time be

divided between advertising and the comedy program in order to maximize

the number of viewers?

The following statements are true:

Segment DEF is parallel to ABC

The line segment  AB is parallel to DE

Line FC is parallel to AD

the line that is skewed to DE is BC

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)

Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;

DEF is parallel to ABC

CADF is parallel to CBEF

For the lines, the lines that are parallel to each other are:

AD is parallel to BE

AB is parallel to DE

FC is parallel to AD

Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC

The missing image is attached with the answer below.

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The equation 10sin^2(x) = 5 can be solved to find the values of x in the interval [0, 2π] that satisfy it. In this equation, we have to find the values of x that make the squared sine of x equal to 0.5.

To solve this equation, we first divide both sides by 10, giving us sin^2(x) = 0.5. Taking the square root of both sides, we get sin(x) = ±√(0.5).

The square root of 0.5 is approximately ±0.707. So, sin(x) can be either 0.707 or -0.707. In the interval [0, 2π], sin(x) is positive in the first and second quadrants, while it is negative in the third and fourth quadrants.

In the first and second quadrants, sin(x) = 0.707 has two solutions: x = π/4 and x = 3π/4. In the third and fourth quadrants, sin(x) = -0.707 also has two solutions: x = 5π/4 and x = 7π/4.

Therefore, the values of x in the interval [0, 2π] that satisfy the equation 10sin^2(x) = 5 are x = π/4, 3π/4, 5π/4, and 7π/4.

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9514 1404 393

Answer:

Step-by-step explanation:

Like terms are ones with the same variable (or set of variables). Here, any x-terms are "like" terms. They are combined by adding their coefficients.

  4x +4x +4x +4x = x(4+4+4+4) = 16x

  -7x +4 +3x = x(-7+3) +4 = -4x +4

  3x +5x +8 = x(3+5) +8 = 8x +8

  4x +4x = x(4+4) = 8x

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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Answer:

Angle C prime

Step-by-step explanation:

First design and sketch it:

Make a rectangle with corners C D E and F. 90 degrees each. Now rotate it 45 degrees to the left. Angle D is diagonally from Angle C.

I hope this helps! :)

Answer:

The solution to the system of equations is (0,2)

Step-by-step explanation:

The fifth term of the expansion of (x − 5)⁶ is found as:  937x².

The Pascal triangle has a lengthy history. It may be traced back to India's Pingala people in the second century BC, who also knew various other binomial formulas at the same time.

Using the binomial series:

(n C r) = n! / (r1(n - r)!

Given equation: (x − 5)⁶

On comparing:

a = x, b = -5 and n = 6

x⁶ + (6C1).x⁶.(-5)¹ + (6C2).x⁴.(-5)² + (6C3)x⁴(-5)³ + (6C4).x²(-5)⁴ + (6C5).x¹.(-5)⁵ + (-5)

Using binomial calculator to solve the expression as;

x⁶ - 30x⁵ + 375x⁴ - 2500x³ + 937x² - 1870x + 15625

Thus, the fifth term of the expansion of (x − 5)⁶ is found as:  937x².

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Thus, ∫25 f (x) dx = ∫52 f (x) dx + ∫2−2 f (x) dx - ∫22 f (x) dx∫25 f (x) dx = 15 + 4 - 4 = 15Therefore, the value of the integral ∫25 f (x) dx is 15.

Suppose that f is continuous, ∫5−2 f (x) dx = 11 and ∫2−2 f (x) dx = 4. Find the value of the integral ∫25 f (x) dx.In this question, it is given that f is continuous and ∫5−2 f (x) dx = 11 and ∫2−2 f (x) dx = 4.We need to find the value of the integral ∫25 f (x) dx.The Integral Calculus is an interesting topic and it deals with finding the integrals of the functions. In calculus, the integral is a concept that can be used to find the area between the graph of a function and the x-axis.Suppose that f is continuous on the interval [a, b] and the function g(x) is defined by g(x) = ∫a xf(t) dt. If we take the derivative of g(x), we get:g′(x) = f(x)This is known as the First Fundamental Theorem of Calculus.Using this, we can solve this question as follows:Since ∫5−2 f (x) dx = 11, we can write ∫52 f (x) dx - ∫22 f (x) dx = 11∫52 f (x) dx - 4 = 11∫52 f (x) dx = 11 + 4 = 15Again, ∫2−2 f (x) dx = 4Thus, ∫25 f (x) dx = ∫52 f (x) dx + ∫2−2 f (x) dx - ∫22 f (x) dx∫25 f (x) dx = 15 + 4 - 4 = 15Therefore, the value of the integral ∫25 f (x) dx is 15.

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The probability of getting exactly one face card is 0.72.

According to the questions two cards are drawn from a deck.

Since, we know that

Total number of cards in a deck = 52

Total number of face cards =  3 × 4 = 12

So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)

And, the total number of ways of  getting exactly one face cards

= \(^{12} C_{1} \times ^{40} C_{1}\)  + \(^{40} C_{1} \times ^{12} C_{1}\)

= 2\(^{40} C_{1} \times ^{12} C_{1}\)

Therefore, the probability of getting exactly one face card

= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)

\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)

\(= \frac{2(40\times 12)}{26\times 51}\)

\(=\frac{2\times 480}{1326}\)

= 0.72

Hence, the probability of getting exactly one face card is 0.72.

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Answer:

$11, $13, $14

Step-by-step explanation:

all of those answers are greater than $9 but less than or equal to $14.

The gradient of the line, which is also the slope of the line is calculated as: m = -2.

The gradient of a line is the same as the slope of a line. It is calculated using the same slope formula which can be expressed as:

Gradient of a line (m) = change in y / change in x = rise/run = y2 - y1 / x2 - x1.

To calculate the gradient of the line, choose any two points on the graph:

(0, 5) = (x1, y1)

(3, -1) = (x2, y2)

Plug in the values into the formula:

Gradient of the line = (-1 - 5) / (3 - 0)

Gradient = -6/3 = -2.

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Answer: 82 miles per hour

Step-by-step explanation:

246/3

82 miles per hours

Answer:

82 miles per hour

Step-by-step explanation:

246/3

Answer:

···⇒Area=195m²

Step-by-step explanation:

\(Solution,\\\\Base(b)=15m\\\\Height(h)=13m\\\\Now,\\\\Area=b*h\\\\Area=15m*13m\\\\Area=195m^{2}\)

Answer:

The area of parallelogram is 195 m².

Step-by-step explanation:

As per given question we have provided that :

Here's the required formula to find the area of parallelogram :

\(\longrightarrow{\pmb{\sf{A = B \times H}}}\)

Substituting all the given values in the formula to find the area of parallelogram :

\(\longrightarrow{\sf{A = B \times H}}\)

\(\longrightarrow{\sf{A = 15 \times 13}}\)

\(\longrightarrow{\sf{A = 195}}\)

\(\star{\underline{\boxed{\sf{\red{A = 195 \: {m}^{2}}}}}}\)

Hence, the area of parallelogram is 195 m².

\(\rule{300}{2.5}\)

The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

The expression is given as:

(5.1)(5.12)4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1) * (5.1^8)

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1)^(1 + 8)

Evaluate the sum

(5.1)(5.1^2)^4 = (5.1)^9

Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

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Answer:

48

Step-by-step explanation:

Since there is an absolute value, the answer must be positive. Multiply 2 by 8 since two negatives equal a positive. So, |15-47 + 9 - 8 -17|. Then add and subtract to get the answer. -32 + 9 - 8 -17 = -48. |-48| = 48

Answer: 50

Step-by-step explanation:

Answer:well your smallest is 3 3/4

Step-by-step explanation:well I can’t really explain but if u know 1 or something it’s self is always bigger or not always but most of the time..hopefully u get this

Answer:

You

Step-by-step explanation:

C r a p

Answer:

I think this is the answer I hope I have helped you

Step-by-step explanation:

a

b

Answer: w can be 1,2,4,5

Step-by-step explanation:

Let's recap the formula of Area:
Area = width x length = w x l
Area = 40 = w x l

The definition of a whole number: is a number without fractions; an integer such as 0, 1, 2, 3, 4, 5, 6,...

Let's start with 0. 0 times anything is equal to 0, so we cannot make 40 out of zero. Cross this out.

Next, let's try with 1:

a. 1x40 = 40

Then, applying the same concept to the rest we have these multiplications:

b. 2x20 = 40

c. 4x10 = 40

d. 5x8 = 40

e. 8x5 = 40

f. 10x4 = 40

g. 20x2 = 40

h. 40x1 = 40

Let's recap the formula of Perimeter:

P = 2 x (w + l)

So, we have the calculated perimeters (according to the above finding):
a. P= 2x(1+40)=82

b. P= 2x(2+20)=44

c. P= 2x(4+10)=28

d. P= 2x(5+8)=26

The below answers do not fit the [width < length]

e. P= 2x(8+5)=26 [not an answer]

f. P= 2x(10+4)=28 [not an answer]

g. P= 2x(20+2)=44 [not an answer]

h. P= 2x(40+1)=82 [not an answer]

Answer:

\(Total\ Rent = 49 + 5m\)

Step-by-step explanation:

Given

Rent per day = $49

Addition = 5 cents per mile

Required

Determine the rent for a day and m miles

First, we need to generate a formula from the given parameters;

Let d represent number of days and m represent additional miles;

\(Total\ Rent = 49 * d + 5 * m\)

\(Total\ Rent = 49 d + 5 m\)

Solving for the rent for a day and m miles

We have that: d = 1 and m = m

Substitute these in the formula above

\(Total\ Rent = 49 * 1 + 5 * m\)

\(Total\ Rent = 49 + 5m\)

Hence, the total rent is

\(Total\ Rent = 49 + 5m\)

Answer:

The greatest common factor between 30 and 70 is 10

Step-by-step explanation:

first break down each number into its prime factorization in the case of 30 that would be 5,2,3. The prime factorization for 70 is 7,5,2 The prime factors that 70 and 30 have in common are 5 & 2. multiply 5 * 2 to get 10. 10 is the greatest common factor of 70 and 30

\(\\ \sf\longmapsto 256x^2y^2-x^2y^2+49y^2x^2\)

\(\\ \sf\longmapsto 256x^2y^2-x^2y^2+49x^2y^2\)

\(\\ \sf\longmapsto (256-1+49)x^2y^2\)

\(\\ \sf\longmapsto 304x^2y^2\)

The ratio 0f men to worm is 5 to 8, so for every 8 women there are 5 men.

Divide the total woman by 8 and then multiply that by 5.

208/8 = 26 x 5 = 130

There is 130 men.

There are 48 even integers between 200 and 700 whose digits are all different and come from the set {1, 2, 5, 7, 8, 9}.

To find the number of even integers between 200 and 700 with all different digits from the set {1, 2, 5, 7, 8, 9}, we can consider the possible choices for each digit.

For the hundreds digit, we have the options 2, 5, and 7 (3 choices). For the tens digit, we have the options 1, 5, 7, 8, and 9, excluding the hundreds digit chosen (4 choices). For the units digit, we have the options 2, 4, 6, and 8 (4 choices).

To calculate the total number of even integers, we multiply the number of choices for each digit. Therefore, the total number of even integers is 3 choices for the hundreds digit × 4 choices for the tens digit × 4 choices for the units digit = 3 × 4 × 4 = 48.

Hence, there are 48 even integers between 200 and 700 whose digits are all different and come from the set {1, 2, 5, 7, 8, 9}.

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Answer:

\(m=20c\)

Step-by-step explanation:

Let m represent the total money collected and c represent the amount of cars washed.

We know that the money collected is directly proportional to the number of cars washed. So, we can write the following equation:

\(m=kc\)

Where k is a constant.

We know that the money collected after 7 car washes is $140. So, let's find our k by substituting 140 for m and 7 for c. This yields:

\(140=7k\)

Find k. Divide both sides by 7:

\(k=20\)

So, the value of k is 20.

We can now substitute k back into our direct variation equation:

\(m=20c\)

This means that every car costs $20 to wash.

And we're done!

Answer:

7x140=980

Step-by-step explanation:

7x140= what

5520.  this is the answer. you have to multiply 5000 at 2% 5 times. hope it helps. this is my first answer.

Answer:

2/√5

Step-by-step explanation:

A unit circle is a circle of unit radius. This means that the radius of a unit circle is 1.

Let a represent the horizontal distance. Therefore the vertical distance = twice the horizontal distance = 2a

We can get the hypotenuse using Pythagoras theorem:

hypotenuse² = a² + (2a)²

hypotenuse² = a² + 4a²

hypotenuse² = 5a²

hypotenuse = √5a²

hypotenuse = a√5

sin(θ) = opposite / hypotenuse

sin(θ) = vertical distance / hypotenuse

sin(θ) = 2a / a√5

sin(θ) = 2/√5

Answer: 33.1 million

Step-by-step explanation:

The US Census Bureau estimates that as of 2021, the US population is around 331 million people.

If 10% of that number go to a restaurant or an event for New years, that number would be:

= 10% * 331,000,000

= 33.1 million

Answer:

A. better prepared to calculate financial risks

Step-by-step explanation:

Through the successful study of personal finance, an individual will be better prepared to calculate financial risks.

Personal finance is a broad word that encompasses money management, as well as saving for the future.  Personal finance also includes some of the following:

A successful study of personal finance can help in various ways such as:

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Answer:

Not arithmetic

Step-by-step explanation:

the difference of successive terms in arithmetic sequences should be the same. notice that:

1/3-1/2 =/= 1/3 - 1/4

so it's not arithmetic.

this sequence is known as the harmonic sequence, and its sum diverges.