An electronics store makes $125 of profit on every DVD player it sells and $100 on every CD player it sells. The store owner wants to make a profit of at least $500 a day selling DVD players and CD players.
a. write a linear inequality to determine the number of DVD players x and the number of CD players y that the owner needs to sell to meet his goal
b. graph the inequality
c. describe the possible values of x. Describe the possible values of y
d. list three possible combinations of DVD players and CD players that the owner could sell to meet his goal

Answer:

I need 5 Star

Step-by-step explanation:

The area of the resulting square is 3600 in²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a square has area 1600 in² whose length has been increased by 20 in each side.

Area of the square = side²

Let the original side length be x, then,

x² = 1600

x = 40 (neglecting -40, because length of anything can not be negative)

After 20 in increase, the side is (40+20) = 60 in

Area of new square = 60x60 = 3600 in²

Hence, The area of the resulting square is 3600 in²

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The correct statement is- Once the Compromise of 1850 was passed, Northerners and Southerners readily accepted its terms, putting their suspicions to rest.

The statement describes how both Northerners and Southerners were suitable to fluently accept the terms of the concession of 1850 and put their reservations to rest after its end. The Concession of 1850 was a series of legislative measures aimed at resolving the growing pressures between the Northern and Southern countries of the United States over issues similar to slavery and the balance of power.

The statement suggests that the terms of the concession were satisfactory to both sides, allowing for a sense of agreement and resolution. It implies that the concession addressed the enterprises and interests of both Northerners and Southerners, leading to their amenability to accept it. By accepting the concession and its terms, both regions were suitable to palliate their reservations or dubieties, potentially reducing pressures between them.

This statement highlights the significance of the concession of 1850 in furnishing a temporary resolution to the contentious issues of the time, indeed though these issues would latterly contribute to the raising conflicts that ultimately led to the American Civil War.

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The double integral for the function is \(\int\limits^a_b\int\limits^a_R {\frac{4x}{1+xy} (5In(5)-4} \,\)

The given integral is \(\int\limits^a_b\int\limits^a_R {\frac{4x}{1+xy} } \, d.A\)

The two sets or coordinates shall be applied during the process of integrating the first and second sets of the function

Where R is = (0,4)/x (0,1)

This can be evaluated as follow\(\int\limits^a_b \int\limits^a_R {\frac{4x}{1+xy} } \, d.xA\)

⇒\(4\int\limits^1_0 \int\limits^4_0 {\frac{1}{y-\frac{1}{y(1+xy)}} } } \, dy/dx\)

This can be simplified further as follows

= 4\(\int\limits^1_0 \frac{4/y - In(1+xy) }{x^{2} } x} \, dy\)

Applying the second integral we have

4\(\int\limits^1_0 {\frac{4}{y^{2} } {4y-[In(1+4y\\)}/4 \,\)

When we use the I V method of integration we get

4(5In(5)-4)

This is also simplified as

4(5In(5)-4

Therefore we can conclude that the second integral; is

double Integral 4x?1+xy (5In(5)-4}

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The value of double integral. ∬4x/(1+xy)dA ; R = [0, 4] × [0, 1] is -64/17.

If f(x,y) is continuous function on the region D then we can compute the double integral ∬f(x,y)dA

D

This result is known as Fubini's Theorem. We have A = xy

=> dA = dxdy

let , I = ∬f(x,y)dA =₀∫⁴ ₀∫¹4x/(1+xy)dydx

R

firstly integrated with respect to y

I = ₀∫⁴ ₀[ ln(1+xy)]⁴dx

= ₀∫⁴ [ln(1 + 4x)]dx

I = ₀[ 4/(1 + 4x) ]⁴

=> I = [ 4/(1+16) - 4/(1+0)]

=> I = 4/17 - 4 = - 64/17

Hence , required value is -64/17.

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Answer:

  no solution (contradiction)

Step-by-step explanation:

We can eliminate the variables by subtracting twice the second equation from the first:

  (2y -6x) -2(y -3x) = (-2) -2(4)

  0y +0x = -10 . . . . simplify

  0 = -10 . . . . . . . "contradiction" -- no solution

_____

The graphed lines are parallel, so do not intersect. There is no solution.

The probability of the horse winning the race is 4/11 or approximately 0.36 or 36%.

The odds in favor of a horse winning a race is expressed as a ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds in favor of the horse winning the race is 4:7.

This means that for every 4 favorable outcomes, there are 7 unfavorable outcomes.

To determine the probability of the horse winning the race, we can use the formula:

Probability = favorable outcomes / total outcomes

In this case, the total number of outcomes is the sum of the favorable and unfavorable outcomes, which is 4 + 7 = 11.

Therefore, the probability of the horse winning the race is:

Probability = 4 / 11

This means that the horse has a probability of approximately 0.36 or 36% of winning the race.

In summary, the odds in favor of a horse winning a race of 4:7 means that there are 4 favorable outcomes for every 7 unfavorable outcomes.

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Answer:

a) ~18.95ft

b) ~58°

c) ~32°

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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Answer:

Step-by-step explanation:

Because the lines are perpendicular the slopes will be negtive

reciprocals of each other.  Thus slope of 3/8 becomes -8/3.

Using point slope formula:   y - y1 = m(x - x1)

Substitute the point given with the new slope and solve.

y - 5 = -8/3(x - 4)

y - 5 = -8/3x - - 32/3

y - 5 = -8/3x + 32/3

y - 5 + 5 = -8/3x + 32/3 + 5

y = -8/3x + 47/3

or

y = -8/3x + 15 2/3

Answer:

a. geometric sequence

b. an = 5(2)^n-1

c. an+1 = an x 2

Step-by-step explanation:

The sequence: 5, 10, 20, 40,...

a. The sequence is geometric because the sequence has a common ratio of 2, each number is made by multiplying the previous number with the common ratio (2).

b. The explicit formula for this sequence is an = 5(2)^n-1

The explicit formula for a geometric sequence is

an = a1 (r)^n-1

Substituting that with the values we know, we will get

an = 5(2)^n-1

c. The recursive formula for this sequence is an+1 = an x 2

The recursive formula for a geometric sequence is

an+1 = an x r

Substituting for the values we know, we get

an+1 = an x 2

Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it

Answer:

Giraffe

Step-by-step explanation:

I made the estimates into fractions and the Giraffes one was greater than the Zebra

The Zebra runs faster because the speed of the Zebra is 17 m/s and the speed of the Giraffe is 14 m/s.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The table represents the top running speed for a zebra and a giraffe.

As we know,

The speed formula:

speed = distance/time

For Giraffe:

Speed (v) = 280/20 = 14 m/s

For Zebra:

Speed (V) = 204/12 = 17 m/s

V > v

Thus, the Zebra runs faster because the speed of the Zebra is 17 m/s and the speed of the Giraffe is 14 m/s.

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Answer:

4/3

Step-by-step explanation:

GH =√90²-72²=

√8100-5184=

√2916= 54

so, tan (H) = 72/54 = 4/3

⁴/3 is a required answer.

Answer:

Solution given:

FG=72

FH=90

By using Pythagoras law

GH=\(\sqrt{90²-72²}=54\)

Step-by-step explanation:

we have

Tan H=\( \frac{opposite}{adjacent}\)

\(TanH=\frac{GF}{GH}=\frac{72}{54}=\frac{4}{3}\)

Answer:

perimeter: 14.5

Step-by-step explanation:

Answer:

BC = 10 units

Step-by-step explanation:

From the picture attached,

It's given that AD and BE are the parallel sides.

AC and DC are the transversal lines intersecting the parallel lines.

In ΔADC and ΔBEC,

∠DAC ≅ ∠EBC [Corresponding angles]

∠ADC ≅ ∠BEC [Corresponding angles]

ΔADC ~ ΔBEC [By AA property of similar triangles]

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

\(\frac{AC}{BC}=\frac{DC}{EC}\)

\(\frac{AB+BC}{BC}=\frac{DE+EC}{EC}\)

\(\frac{2.5+BC}{BC}=\frac{2+8}{8}\)

\(\frac{2.5}{BC}+1=\frac{10}{8}\)

\(\frac{2.5}{BC}=\frac{5}{4}-1\)

\(\frac{2.5}{BC}=\frac{1}{4}\)

BC = 10

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.

For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.

To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.

The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

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Answer

3:00 p.m.

Explanation:

Since we are just talking about distance from Chicago it doesn't matter what direction they are going.

What does matter is the speed of each train and the head start the first train had.

The first train's distance can be represented with the equation:

60 + 60 x because it has an hour head start where it travelled 60 miles in that time.

The second train's distance can be represented with the equation:

80 x  because each hour it travels 80 miles.

In both equations x represents the number of hours.

If we set these two equations equal to each other we get:

60 + 60 x = 80 x

Combine like terms:

60 = 20 x

Divide both sides by 20:

x = 3

So at 3:00 p.m. the two trains will both be the same distance from Chicago (240 miles).

Answer:

the answer is three o'clock PM

Answer:

Step-by-step explanation:

y =  3x - 4

x = 0,  y = 3*0 - 4

          y = -4

(0 , -4)

x = 1 ,    y = 3*1 - 4

            y = 3 - 4

            y = -1

(1 , -1)

x = 2  , y = 3*2 - 4

           y = 6 - 4

           y = 2

(2 , 2)

Now mark these points (0 , -4) , (1 , -1) & (2 , 2) in the graph and join the points

Answer:

The sweater costs $42 including sales tax.

Step-by-step explanation:

To find this answer, you would first need to find the dollar amount of the sweater's sales tax.

$40 * 5% (or .05) = $2

You would then need to add the sales tax to the current total for your final answer.

$40 + $2 = $42

The Greatest Common Factor (GCF) for 75 and 105, notation CGF(75,105), is 15. Explanation: The factors of 75 are 1,3,5,15,25,75; The factors of 105 are 1,3,5,7,15,21,35,105.

THANKS!

FROM CAMBRIDGE UNIVERSITY

:)

The highest common factor (HCF) of 75 and 105 is 15.

The factor of a number is a number that can divide another number perfectly without any remainder.

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There are only one way to pick exactly 6 of the 7 winning numbers without regard to order.

There are "1 to 70 numbers, choose 7 " or 70C7 ways to pick 7 correctly.

AND

you must also pick 1 wrong number.  That wrong number has to be

different from any of the 7 correct numbers, and so there are

40-6 or 34 wrong numbers you could have picked.  That's 34 wrong

numbers, choose 1 or 34C1. Since AND means to multiply, the

numerator is 6C5 X 34C1=204

The denominator is the same 3838380 as in part (A)

So the desired probability is 204 / 38380 = 17 / 319865.

However that's just the probability of winning the $10000.

The words "probability of winning" could be taken as the

probability of winning either $1,000,000 OR $10,000. So

P(winning $1,000,000 OR winning $10,000) and since

"OR" means "ADD", we add the probability found in part A,

so the correct answer is 1 / 38380 + 204 / 38380 = 205 / 3838380

=41 / 767676,

the probability of winning a million or ten thousand.

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The cost of a new home, built of standard materials, with standard techniques and design replacement cost and reproduction cost may be the same.

When analyzing the cost of a new home built with standard materials, techniques, and design, the relationship between replacement cost and reproduction cost may vary. Option 4) Replacement cost and reproduction cost may be the same, is the most accurate statement.

Replacement cost refers to the amount required to replace or rebuild a property, while reproduction cost refers to the cost of constructing an exact replica of the original property. These costs can be the same in some cases, but factors such as market conditions, construction costs, and availability of materials can affect the costs differently. Cost and value are not always the same, as value considers factors such as location, demand, and economic conditions.

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Answer:

a

Step-by-step explanation:

two sides one angle and agian two side has two of the same lengths

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

Answer:

R - 116 + 35 is your expression I am pretty sure

A sample size of 1500 or 10000 is generally sufficient for a reasonably accurate poll if proper methodology and random sampling techniques are utilized.

The correct answer is option A and B.

Determining a sufficient sample size for a reasonably accurate poll requires considering several factors: the population size, desired margin of error, confidence level, and expected variability within the population.

To calculate the sample size, we can use the formula:

n = (\(Z^2 * p * (1-p)) / (E^2)\)

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level

p = estimated proportion or expected prevalence in the population

E = desired margin of error

For example, let's assume we want a 95% confidence level, a margin of error of 5%, and an estimated prevalence of 50% (which provides the maximum required sample size). Plugging these values into the formula, we have:

Z = 1.96 (corresponding to a 95% confidence level)

E = 0.05 (5% margin of error)

p = 0.5 (estimated prevalence)

n = (\(1.96^2\) * 0.5 * (1-0.5)) / (0.05^2)

n = (3.8416 * 0.25) / 0.0025

n = 0.9604 / 0.0025

n = 384.16

Therefore, the required sample size would be approximately 384. This calculation assumes a worst-case scenario (p = 0.5) to ensure a conservative sample size estimate.

Based on the given options:

- A sample size of 1500 exceeds the required sample size, providing a reasonably accurate poll.

- A sample size of 10000 is more than sufficient and would yield an even more accurate poll.

- Sampling 10 percent of the population can be considered sufficient, depending on the total population size.

- Sampling 100 percent of the population would provide the most accurate results, but it is usually impractical or impossible.

In conclusion, both a sample size of 1500 and 10000 are correct answer making option A and B the correct answer.

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The question probable may be:

Which of the following sample sizes is sufficient to have a reasonably accurate poll? Group of answer choices:

A. 1500

B. 10000

C. 10 percent of the population

D. 100 percent of the population

Answer:

Left 2 and down 1

Step-by-step explanation:

Answer:

C bˆ is unbiased.

Step-by-step explanation:

In statistics, the sampling distribution showcases the distribution of obtained values by the statistics in all possible sample sizes of the same population. A statistic that estimates a population parameter is termed to be an unbiased estimator if the mean of such distribution appears to be equal to the true value of the estimated parameter.

Thus, from the aforementioned, the property exhibited by b- is unbiased.

d is biased

Step-by-step explanation:

The expected value of d is not D

The property where the expected value of d is D is called unbaisedness, hence d is biased

The president draw 15 lines on map.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

here, it is given that :

there are 6 cities

No three of the cities are collinear that is are not in a straight line.

Now, to find the lines did the president draw use the formulae :

n(n-1)/2

where, n = number of cities

lines did the president draw = 6 x 5/ 2

                                                = 15

Therefore, The president draw 15 lines on map.

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