A company manufacturers and sells a electric drills per month. The monthly cost and price-demand equations areC(x) = 45000 + 802,p = 220 - 5,0 < 2 < 5000.(A) Find the production level that results in the maximum profit.Production Level =(B) Find the price that the company should charge for each drill in order to maximize profit.Price=

Answer:

51 vreels

Step-by-step explanation:

Step 1: Given data

Ratio of gespils to vreels on the planet Joop: 6:14

Step 2: Calculate the number of gespils per 120 vreels

Elentine has 120 vreels on her rew farm. If there are 6 gespils every 14 vreels, the number of gespils is:

120 vreels × (6 gespils/14 vreels) ≈ 51 vreels

Answer:

Step-by-step explanation:

If the sign of one number is positive and the other is negative then the product is negative. Otherwise the product i is positive.

- * + = -

+ * + = +

- * - =+

Answer:

$60

Step-by-step explanation:

45 x 100/75 = 60

Answer:11.25

Step-by-step explanation:

45×0.75 45-33.75=11.25

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Answer:

0,0 which is the origin.

Answer:

Step-by-step explanation:

2(3x + 12y - 5 - 17x - 16y +4)

the 2 outside the bracket means we need to multiply everything by 2

=

6x+24y-10-34x-32y+8

now put all the like-terms together

6x-34x+24y-32y+8-10

now add them together

=-28x-8y-2

now find the HCF

2

put 2 outside the bracket and then divide every number by 2

2(-14x-4y-1)

this is as simplified it can get

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The parametric equations for the tangent line to the given curve is x = 1-7t , y = 6t and z = 1-7t  .

In the question ,

it is given that ,

x = \(e^{-7t}\)cos(6t), y = \(e^{-7t}\)sin(6t), z = \(e^{-7t}\) ,

So , the parametric equation of the curve will be ,

r(t) = [  \(e^{-7t}\)cos(6t), \(e^{-7t}\)sin(6t), \(e^{-7t}\) ]

the point given as (1,0,1) implies that ,

\(e^{-7t}\)cos(6t) = 1 , \(e^{-7t}\) = 0 , sin(6t), \(e^{-7t}\) = 1 which implies that ⇒ t = 0 .

So , the point (1,0,1) is the point r(0) .

Now , differentiating x , y and z with respect to t ,

we get ,

r'(t) = [  \(-e^{-7t}\)[7cos(6t) + 6sin(6t)], \(e^{-7t}\)[6cos(6t) - 7sin(6t)], \(-7e^{-7t}\) ]

substituting , t = 0,

we get ,

r'(0) = [-7 , 6 , -7]

the equation of the tangent line passing through the point (1,0,1) and parallel to the tangent vector r'(0) is

r(t) = r(0) + tr'(0) = (1,0,1) + t(-7,6,-7)

So , r(t) = [ 1 - 7t , 6t , 1 - 7t ]

So , x = 1 - 7t   , y = 6t and  z = 1 - 7t  .

Therefore , the required parametric equations are x = 1 - 7t   , y = 6t and  z = 1 - 7t  .

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the answer is 1,050 ft2

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

The slope of the line that passes through the points (-1,4) and (0,9) is 5.

Slope is simply expressed as change in y over the change in x.

The formula for slope of a line is:

\(m = \frac{ y_2 - y_1}{x_2 - x_1}\)

Given that, the line passes through the points: (-1,4) and (0,9).

Point 1 (-1,4)

Point 2 (0,9)

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{ y_2 - y_1}{x_2 - x_1}\\\\m = \frac{ 9 - 4}{0 - (-1)}\\\\m = \frac{ 5}{0 + 1}\\\\m = 5\)

Therefore, the slope of the line is 5.

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Answer:

7x+y=3 is not a linear equation.

The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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Answer:

sin A = sin B = sin C

Step-by-step explanation:

The sine rule is a law which relates all the three sides of a triangle with the sine of their opposite angles in the triangle. Given a triangle with a side of a and an opposite angle of A, side b with opposite angle B and side c with opposite angle C. The sine rule is given as:

\(\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}\)

Given that all the side of the triangle have a length of 1, that is a = b = c = 1, hence the equation becomes:

\(\frac{sin(A)}{1}=\frac{sin(B)}{1}=\frac{sin(C)}{1}\\\\sin(A)=sin(B)=sin(C)\)

Answer:

sin A = sin B = sin C

Step-by-step explanation:

edg

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

The variance = 2916,

The mean life of a battery, m = 518 min,

The total number of samples, n = 81

Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,

z = x - m / (σ / √ n)

Here, x is the expected value, σ is the deviation, and z is the probability.

Substitute the values,

z = 526.4 - 518 / (54 / √81)         [σ = √ variance = √2916  = 54]

z = 1.4

Consult the cumulative standard normal table

P (z < 526.4) = 0.9192,

But we know that

P (z > 526.4) = 1 - P (z < 526.4)

P (z > 526.4) = 1 - 0.9192 = 0.0808

Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

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The equation of the parallel line will be y = (2/3)x - 8/3.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y - 4 = 2/3 (x - 3)

The equation of the line that is parallel to the given line will be written as,

y = (2/3)x + c

The equation of the line that passes through (1, -2), then we have

- 2= (2/3)(1) + c

- 2 = 2 /3 + c

c = - 8 / 3

Then the equation of the parallel line will be y = (2/3)x - 8/3.

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Answer: y = 3x - 1

Step-by-step explanation:

y = 3x + c

-1 = 3(0) + c

-1 = 0 + c

-1 - 0 = c

-1 = c

y = 3x - 1

Answer:

b=7 & c=7√2

Step-by-step explanation:

b=7 as it is an isosceles triangle

now using Pythagoras theorem,

(c)^2= (7)^2+(7)^2

⇒(c)^2= 49+49

⇒(c)^2= 98

⇒c= √98

⇒c=7√2

Answer:

Step-by-step explanation:

You want the missing side lengths in an isosceles right triangle with one side given as 7.

The two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:

  b = 7

The hypotenuse of an isosceles right triangle is √2 times the side length:

  c = 7√2

__

Additional comment

You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.

  c² = 7² + b²

  c² = 7² +7² = 2·7²

  c = √(2·7²) = 7√2

The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.

The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.

Answer:

0

Step-by-step explanation:

Tuesday : -1/2

Wednesday + 3/4

Thursday : -3/8

Add them together

-1/2 + 3/4- 3/8

Get a common denominator

-4/8 + 6/8 - 3/8

-1/8

The closest integer value to -1/8 is 0

Answer:

1/2

Step-by-step explanation:

y=2x-1

1=2x   Subtract 1

1/2=x    Divide by 2

The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

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Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

20000

Step-by-step explanation:

HOPED THIS HELPED

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GOOD LUCK

A simple path which visits all vertices can be found using a linear-time algorithm.

How to handle visited vertex is the issue.

The time complexity isn't really linear as you follow because of the many visits.

If not, the following straightforward example will show that your algorithm is flawed:

1 --> 2 -----------> 3 --> 4

       \         /

        --> 5 -->

After finding 1-2-3-4 in the initial search, the search returns to 2 and finds 1-2-5-3. Now that number 3 has been visited, the search halts and ultimately fails.

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The quadratic expression x² − 2x + 3 cannot be factorized

From the question, we have the following parameters that can be used in our computation:

x² − 2x + 3

Rewrite as

f(x) = x² − 2x + 3

A quadratic expression is represented as

f(x) = ax² + bx + c

By comparison, we have

a  = 1

b = -2

c = 3

The determinant (D) of the expression is calculated as

D = b² - 4ac

Substitute the known values in the above equation, so, we have the following representation

D = (-2)² - 4 * 1 * 3

Evaluate

D = -8

When the determinant of a quadratic expression is less than 0, the expression has no real root

This in other words mean that the expression cannot be factorized

The determinant, -8 is less than 0

So, x² − 2x + 3 cannot be factorized

Hence, the conclusion is that the expression x² − 2x + 3 cannot be factorized

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