find the value of the expression ​

The coordinate of the point is given as: (x,y) = (28/5, 2/5)

Given

A = (4,-2)

B = (12,-10)

Ration = 1/4

We apply the following formula:

(x,y) = [((mx2 + nx1)/(m+n)), ((my2 + ny1)/(m+n)),

Where:

m and n are the ratios. That is:

m/n = 1/4
m : n = 1 : 4

Where A(4,-2) and B(12,10); we have

(x,y) = [((1 * 12 + 4x4)/(4+1)), ((1*10 + 4 *-2)/(4+1)),
(x,y) = (12 + 16/5), ((10-8)/5))

Simplified, this yeild:

(x,y) = (28/5, 2/5)

Thus, the coordinate of the point is (x,y) = (28/5, 2/5).

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A. The maximum revenue is $1,650,000.

B. Profit is given by the difference between revenue and cost, P(x) = R(x) - C(x).

A. To find the maximum revenue, we need to maximize the product of the quantity sold and the price per unit. We can achieve this by finding the value of x that maximizes the revenue function R(x) = x * p(x).

By substituting the given price-demand equation p(x) into the revenue function, we can express it solely in terms of x. Then, we determine the value of x that maximizes this function.

B. To find the maximum profit, we need to consider the relationship between revenue and cost.

Profit is given by the difference between revenue and cost, P(x) = R(x) - C(x). By substituting the revenue and cost functions into the profit function, we can express it solely in terms of x.

To find the maximum profit, we calculate the value of x that maximizes this function.

Furthermore, to determine the production level that will realize the maximum profit and the price the company should charge for each television set, we need to evaluate the corresponding values of x and p(x) at the maximum profit.

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Answer:

There are 72 crayons in the box

Step-by-step explanation:

Fractions

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

\(1-\frac{4}{9}=\frac{5}{9}\)

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

\(\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}\)

Thus, the portion of yellow crayons is:

\(\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}\)

This fraction of x crayons is equal to 14, thus:

\(\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}\)

x = 72

There are 72 crayons in the box

Answer:

HELLO I am tried to solve your question and I found 2 answer

Step-by-step explanation:

firstly we need discriminant to find x values.

you know we use b²-4ac formule to find discriminant

and this value (-3)²-[4*√2*(-2√2)]=-7 this means X hasn't reel value. let's continue.. if we want to find x value we use disc. and [-b±√∆]/2a one x value is [3+√7i]/2√2. and other is [3-√7i]/2√2

Answer:

x=0.94280

Step-by-step explanation:

see the photos it will explain how I got the answer

Answer:

$15,746.400

Step-by-step explanation:

The computation of the car value in the year 2010 is shown below:

Since the new car brought in the year of 2006 at $24,000

And, it would be depreciation by 10%

So, in the year 2010 the car value would be

= $24,000 × (1 - 0.10)^4

= $24,000 × 0.9^4

= $15,746.400

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

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Answer:

Mean: 16.333333333333

Median: 18.5

Mode: 9,10,18,19,20,22

Step-by-step explanation:

Mean: Add all the terms together and divide your result by the amount of you there are. ((22+9+10+19+18+20) / 6)

Median- Organize the terms from least to greatest. When you find the middle of the terms you will get 18.5, look for what between 18 and 19.

Mode- Normally to find the mode you would order the terms from least to greatest, and then find which term occurs the most. But since all the terms occur once, it will be all of the terms.

Answer:

the answer is A,D, and E

Step-by-step explanation:

i just got it right xd

Answer:

-2

Step-by-step explanation:

17.8 + f =

17.8 + (-19.8)

= -2

Answer:

r = radius

h = height

s = slant height

V = volume

L = lateral surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

Calculator Use

This online calculator will calculate the various properties of a right circular cone given any 2 known variables. The term "circular" clarifies this shape as a pyramid with a circular cross section. The term "right" means that the vertex of the cone is centered above the base. Using the term "cone" by itself often commonly means a right circular cone.

Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with s in mm, V in mm3, L in mm2, B in mm2 and A in mm2.

Below are the standard formulas for a cone. Calculations are based on algebraic manipulation of these standard formulas.

Circular Cone Formulas in terms of radius r and height h:

Volume of a cone:

V = (1/3)πr2h

Slant height of a cone:

s = √(r2 + h2)

Lateral surface area of a cone:

L = πrs = πr√(r2 + h2)

Base surface area of a cone (a circle):

B = πr2

Total surface area of a cone:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Circular Cone Calculations:

Use the following additional formulas along with the formulas above.

Given radius and height calculate the slant height, volume, lateral surface area and total surface area.

Given r, h find s, V, L, A

use the formulas above

Given radius and slant height calculate the height, volume, lateral surface area and total surface area.

Given r, s find h, V, L, A

h = √(s2 - r2)

Given radius and volume calculate the height, slant height, lateral surface area and total surface area.

Given r, V find h, s, L, A

h = (3 * v) / (πr2)

Given radius and lateral surface area calculate the height, slant height, volume and total surface area.

Given r, L find h, s, V, A

s = L / (πr)

h = √(s2 - r2)

Given radius and total surface area calculate the height, slant height, volume and lateral surface area.

Given r, A find h, s, V, L

s = [A - (πr2)] / (πr)

h = √(s2 - r2)

Given height and slant height calculate the radius, volume, lateral surface area and total surface area.

Given h, s find r, V, L, A

r = √(s2 - h2)

Given height and volume calculate the radius, slant height, lateral surface area and total surface area.

Given h, V find r, s, L, A

r = √[ (3 * v) / (π * h) ]

Given slant height and lateral surface area calculate the radius, height, volume, and total surface area.

Given s, L find r, h, V, A

r = L / (π * s)

h = √(s2 - r2)

Step-by-step explanation:

this is my answer on cone question

Answer:

b

Step-by-step explanation:

Answer:

slope m=--3/-2=-3/2 is required slope

Answer:

m = -3, b = -2

Step-by-step explanation:

The equation is written in the form of slope-intercept, where m = slope and b = y-intercept.

The slope is the number before x. For the equation y = -3x - 2, it's -3.

The y-intercept is the constant. For the equation y = -3x - 2, it's -2.

Hence, m = -3, and b = -2.

\(\rule{350}{4}\)

\(\frak{-Dream-}\)

The general solution will depend on the values of k, m, and the damping coefficient 8/m. To find the equation of motion for this system.

We can use Newton's second law:

F = ma

where F is the net force acting on the system, m is the mass of the object, and a is the acceleration.

The net force in this case is the sum of the external force and the force due to the spring:

F = f(t) - kx

where k is the spring constant and x is the displacement from equilibrium.

The damping force is given as 8 times the instantaneous velocity, which we can write as:

F_damp = -8v

where v is the velocity of the object.

Putting everything together, we get:

m(d^2x/dt^2) = f(t) - kx - 8v

Substituting in the given values, we have:

1(d^2x/dt^2) = 2 sin 4t - kx - 8(dx/dt)

To simplify this equation, we can use the fact that x is a displacement and therefore the second derivative of x with respect to time is the acceleration. So we can rewrite the equation as:

a = (2/g)sin(4t) - (k/m)x - 8v/m

where g = 32 ft/s^2 is the acceleration due to gravity.

To solve for x, we can use the fact that the velocity is the derivative of displacement with respect to time:

v = dx/dt

Taking the derivative of the equation for velocity, we get:

a = d^2x/dt^2 = dv/dt = d/dt(dx/dt) = d/dt(v) = d/dt(-8v/m - (k/m)x + 2/g sin(4t))

Simplifying this expression, we get:

a = -8/m(dv/dt) - k/m(dx/dt) + (8/g)cos(4t)

Substituting in the value of a from the previous equation, we have:

(2/g)sin(4t) - (k/m)x - 8v/m = -8/m(dv/dt) - k/m(dx/dt) + (8/g)cos(4t)

Rearranging and simplifying, we get:

d^2x/dt^2 + (k/m + 8/m)dx/dt + k/mx = (16/g)cos(4t) - (2/g)sin(4t)

This is a second-order differential equation that we can solve using standard techniques, such as the method of undetermined coefficients or Laplace transforms. The general solution will depend on the values of k, m, and the damping coefficient 8/m.

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The true statement about effect size is: The effect size is the extent to which the null or statistical hypothesis is false. Effect size is a measure used in research studies to quantify the magnitude of the difference between groups or the strength of an association between variables.

It helps determine the practical significance of the research findings, as opposed to the statistical significance.
When the effect size is small, detecting it is not necessarily easier, and a larger sample size may be required to achieve adequate statistical power. A larger effect size, on the other hand, might be easier to detect and might require a smaller sample size.
There is not just one type of effect size measure used in research studies. There are various measures of effect size, such as Cohen's d, Pearson's correlation coefficient (r), and odds ratio (OR), among others. Each type of effect size is suitable for different research designs and data types.

Choosing the appropriate effect size measure depends on the research question, the design of the study, and the type of data being analyzed.

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Answer:

h > 12

Step-by-step explanation:

have a good day!! :)

Answer:

H>12

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "65.7" was replaced by "(657/10)". 3 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

               (19/10)*(h)+(429/10)-((657/10))>0

Step by step solution :

STEP

1

:

           657

Simplify   ———

           10

Equation at the end of step

1

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

2

:

           429

Simplify   ———

           10

Equation at the end of step

2

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

3

:

           19

Simplify   ——

           10

Equation at the end of step

3

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

4

:

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

19h + 429     19h + 429

—————————  =  —————————

   10            10    

Equation at the end of step

4

:

 (19h + 429)    657

 ——————————— -  ———  > 0

     10         10

STEP

5

:

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(19h+429) - (657)     19h - 228

—————————————————  =  —————————

       10                10    

STEP

6

:

Pulling out like terms :

6.1     Pull out like factors :

  19h - 228  =   19 • (h - 12)

Equation at the end of step

6

:

 19 • (h - 12)

 —————————————  > 0

      10      

STEP

7

:

7.1    Multiply both sides by  10

7.2    Divide both sides by  19

Solve Basic Inequality :

7.3      Add  12  to both sides

            h > 12

Inequality Plot :

7.4      Inequality plot for

        1.900 X  - 22.800  >  0

Answer:

7.9 or 79/10

Step-by-step explanation:

-12.166 / -1.54

12.166 / 1.54

7.9

Answer:

Adding two negative numbers is the same as adding two positive numbers except, the sum is negative.

Add.

-13.706

Convert to fraction (number of zeroes in the denominator is the number of places after the decimal point).

-13 706/1000

Divide the numerator and the denominator by 2.

-13 353/500

Hope this helps! :)

Answer:

an = 10 – 4(n – 1)

Step-by-step explaination

answer is an = 10 – 4(n – 1)

Answer:

If AR = 26, find AD = 13

If BD = 9, find BQ = 18

If MQ = 35, find LQ = 17.5

If LP = 13.25, find NP = 26.50

Step-by-step explanation:

For the first question which is finding AD, is basically half the line of AR. So it's half of AR.

26 ÷ 2 = 13

For the second question which is finding BQ, the line is just 2x the line of BD. So it's 2 times of BD.

9 x 2 = 18

For the third question which is finding LQ, it's half the line of MQ. So it's half of MQ.

35 ÷ 2 = 17.5

For the fourth question which is finding NP, it's 2 times of LP. So it's 2 times of LP.

13.25 x 2 = 26.50

the helix r(t) = cos(πt/2), sin (πt/2),t) intersects the sphere x^2 + y^2 + z^2 = 2 in two points.

the angle of intersection at each point: θ = cos⁻¹ (√2/√π²+4)

the angle of intersection at each point: α = cos⁻¹(-√2 /(√π² +4))

Scientists in the fields of physics, engineering, and biology all do research on helices, which are a significant topic in the theory of curves in differential geometry. Helix (or generic helix) is defined as tangent vector field in 3-dimensional Euclidean space establishing a fixed angle with the curve's direction. A curve for which the tangent forms a constant angle with a fixed line is referred to as a helix or coil.

helix: r(t) = < cos(πt/2), sin(πt/2), t >    sphere: x² + y² + z² = 2

put it in the sphere's equation we get:

next, {cos(πt/2)}² + {sin(πt/2)}² + t² = 2

or, 1 + t² = 2

or, t² = 1

or, t = ± 1

thus, points of intersection r(1) = < cos(π/2), sin(π/2), 1 > = < 0, 1, 1 >

r(-1) = < cos(-π/2), sin(-π/2), -1 > = < 0, -1, -1 >

angle intersection is angle between their tangent:

helix:

r(t) = < -π/2 sin(πt/2), π/2 cos(πt/2), 1 >

r'(1) = < -π/2, 0, 1 > .........(i)

r'(-1) = < π/2, 0, 1 > ......... (ii)

sphere:

f = (x² + y² + z² - 2) = 0

Δf = <2x, 2y, 2z>

Δf (0,1,1) = <0,2,2> ................ (iii)

Δf (0,-1,-1) = <0,-2,-2> .............(iv)

angle between (i) and (iii) (at, t = 1)

cosθ = {r'(1) Δf (0,1,1)} / {|r'(1)| |Δf (0,1,1)|]

θ = cos⁻¹ (√2/√π²+4)

angle between (ii) and (iv) (at, t = 1)

cosα = r'(-1)Δf (0,-1,-1) / ||r'(-1)|| ||Δf (0,-1,-1) ||

cos α = -√2 /(√π² +4)

α = cos⁻¹(-√2 /(√π² +4))

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Answer:

5,000 + 300 + 20 + 5 = 5,325

Step-by-step explanation:

In Quadrant II, the x-coordinate (cosθ) is negative, and the y-coordinate (sinθ) is positive.

If we know that cosθ is negative and sinθ is positive, we can determine the quadrant in which the terminal side of the angle lies.

In the coordinate plane, the signs of the cosine and sine values in each quadrant are as follows:

- Quadrant I: Both cosθ and sinθ are positive.

- Quadrant II: Cosθ is negative, sinθ is positive.

- Quadrant III: Both cosθ and sinθ are negative.

- Quadrant IV: Cosθ is positive, sinθ is negative.

Since we are given that cosθ is negative and sinθ is positive, it matches the signs of values in Quadrant II. Therefore, the terminal side of the angle lies in Quadrant II.

In Quadrant II, the x-coordinate (cosθ) is negative, and the y-coordinate (sinθ) is positive. This means that the angle is between 90 and 180 degrees or π/2 and π radians.

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Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph or points of each city are not given.

So, I will provide a general explanation.

To calculate the equation of line through two points;

Start by writing out the coordinates of the two points.

For instance:

\(London = (4,6)\)

\(Warsaw = (20,10)\)

This points will be represented as:

\((x_1,y_1) = (4,6)\)

\((x_2,y_2) = (20,10)\)

Calculate the slope (m)

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

\(m = \frac{10 - 6}{20 - 4}\)

\(m = \frac{4}{16}\)

Simplify

\(m = \frac{1}{4}\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

This gives:

\(y = \frac{1}{4}(x - 4) + 6\)

Open bracket

\(y = \frac{1}{4}x - 1 + 6\)

\(y = \frac{1}{4}x +5\)

Apply the above steps in the original question

Answer:

A and C

Step-by-step explanation:

For every x value, there should be at most 1 y value.

B and D violate that constraint.

Answer:

147/25 or 5.88

Step-by-step explanation:

Answer:

147/25 is the exact form | 5.88 is the decimal form | Mixed number form is 5 22/25

Step-by-step explanation:

Answer:

x= 100

Step-by-step explanation:

x/5 = 20

multiply both the sides by 5 we get

5× x/5 = 20×5

x = 100

Answer:

x = 2

Step-by-step explanation:

Here's your solution

=> we know that tangents from a point to a common circle are equal

=> so, ST = SU

=> 7x - 3 = 5x + 1

=> 7x - 5x = 1 + 3

=> 2x = 4

=> x = 4/2

=> x = 2

hope it helps

Answer:

X will be 2

Step-by-step explanation:

ST=SU

7x-3=5x+1

2x=3+1

2x=4

x=4/2

x=2

hope it helps....

have a great day!!!

Answer:

74°

Step-by-step explanation:

LMN is a central angle so LMN = LN

LN = 74°

LMN = 74°

Answer:

I am going to assume that D's expression is actually $2.99+$3.19+$2.59+(-$0.25)+(-$0.40)

= $6.18+$2.59-$0.25-$0.40 [Note: (+)*(-)=(-)]

=$8.77-$0.25-$0.40

=$8.52-$0.40

=$8.12

Step-by-step explanation:

The prices of the loaf bread, a jar of peanut butter and 3 pounds of apples will be added. The value of the coupons will be then reduced from the total to get the final total.