Could you help me to solve the problem below the cost for producing x items is 50x+300 and the revenue for selling x items is 90x−0.5^2 the company makes is how much it takes in (revenue) minus how much it spends (cost).Recall that profit is revenue minus cost. Set up an expression for the profit from producing and selling x items. Find two values of x that will create a profit of $50. Is it possible for the company to make a profit of $2,500? Please explain

Answer:

92

Step-by-step explanation:

E is the midpoint of AC.

F is the midpoint of BC.

FE and AB are parallel by a theorem.

m<DBF = m<EFC = 92 by corresponding angles of parallel lines cut by a transversal.

Answer:

92°

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

A tangent line is a line that touches the circle's circumference at only one point.

Given two concentric circles one with radius [tex]r_1[/tex] and the second with radius [tex]r_2[/tex], and [tex]r_1>r_2[/tex]. SInce [tex]r_2[/tex] is inside the smaller circle, there is no way it would intersect with the tangent line t.

Therefore, there are no points of intersection between the tangent line t and    [tex]r_2[/tex] .

Answer:

0.9156

Step-by-step explanation:

In the picture attached, the data is plotted (I made it using MS Excel, you can use similar programmes or a calculator).

The line that best correlates the data has the following equation:

y = 0.1037x + 50.922

and its correlation coefficient is:

R² = 0.9156

Answer:

Correlation coefficient, r = 0.957

Step-by-step explanation:

Let y represent the weight

Let x represent the height

y                        x                       x²                 y²                     xy

99                     61                      3721            9801               6039

104                    61                      3721            10816              6344

110                     62                     3844           12100              6820

133                     64                     4096           17689             8512

130                     65                     4225           16900            8550

142                     68                     4629           20169            9656

146                     66                     4356           21316              9636

153                     67                     4489           23409            10251

184                     69                     4761            33856            12696

185                     70                     4900           34225            12950

[tex]\sum y = 1386[/tex], [tex]\sum x = 653[/tex], [tex]\sum x^2 = 42737[/tex], [tex]\sum y^2 = 200276[/tex], [tex]\sum xy = 91454[/tex]

Correlation coefficient formula,

[tex]r = \frac{n \sum xy - \sum x \sum y}{\sqrt{(n \sum x^2 - (\sum x)^2) (n \sum y^2 - (\sum y)^2)} } \\r = \frac{10* 91454 - 653*1386}{\sqrt{(10* 42737 - (653)^2) (10* 200276 - (1386)^2)} }[/tex]        

Correlation coefficient, r = 0.957

Answer:

The correct option is;

A. 30

Step-by-step explanation:

Given that the perpendicular bisector forms two other right angled triangles, we have;

For the larger right angled triangle, hypotenuse length = 100

For the smaller right angled triangle, hypotenuse length = 90

We note that;

y² = x² + 10²

z² = x² + 90²

100² = z² + y ²

Therefore we have;

100² = x² + 10² + z² =  x² + 10² + x² + 90² = 2·x² + 90² + 10²

10000 =  2·x² + 8200

2·x² = 10000 -  8200 = 1800

x² = 1800/2 = 900

x = 30

Answer:

Can't be determined.

Step-by-step explanation:

From the fact that the quadrilaterals are similar:

Corresponding sides are in proportion and

Corresponding angles are congruent.

We can't create a proportion, so there's nothing else that we can determine.

Answer:

Below.

Step-by-step explanation:

Similar figures have the same size but not necessarily the same size.

The respective sides will be in the same ratio in a similar figure.

So from the information given you can't say what the measure of the perimeter of quadrilateral EFGH is. All you can say is the ratio of the perimeters is the same as the ratio of the respective sides. If the ratio is 1:2 for example then the perimeter of EFGH is 2*4y^2 = 8y^2.

Answer:

112 degrees

Step-by-step explanation:

All corresponding, or reflected angles are the same. the angles BAC & BDC should be the same.

Answer:

C. 56

Step-by-step explanation:

right on edge

Answer:

Step-by-step explanation:

polygons are closed figures with straight sides:

A, C, and D are polygons

B is an open figure

E and F have curved sides

Answer:

A,C and D are polygons.The others are not.

Answer:

x > 1610

Step-by-step explanation:

;)

Answer:

x > 1610

Step-by-step explanation:

Answer:

              b = - 1.6  or   b = 1.6

Step-by-step explanation:

[tex]b^2=2.56\quad\iff\quad b=\pm\sqrt{2.56}\\\\\pm\sqrt{2.56}=\pm\sqrt{256:100}=\pm(\sqrt{256}:\sqrt{100}\,)=\pm(16:10)=\pm1,6[/tex]

Answer:all of the above

Step-by-step explanation:on khan

Answer:

Ratio of George age to Carl's age to Alex age = 1 : 12 : 4

Step-by-step explanation:

Let the age of Alex = A years

Age of George = G years

And age of Carl = C years

"Alex is 12 years older than George"

A = G + 12 ------(1)

"Carl is 3 times older than Alex"

C = 3A

C = 3(G + 12)

C = 3G + 36 ------(2)

"Sum of their ages is 68 years"

A + G + C = 68 ------(3)

By substituting the values of A and G in equation (3)

G + 12 + G + 3G + 36 = 68

5G + 48 = 68

5G = 20

G = 4 years

From equation (1),

A = 4 + 12 = 16 years

From equation

C = 3(4) + 36

C = 12 + 36

C = 48 years

Ratio of their ages = G : C : A

                               = 4 : 48 : 16

                               = 1 : 12 : 4

Hi there! Hopefully this helps!

The answer is: 0.016

Here is how I got that answer:

16/1000=0.016

Answer:

Step-by-step explanation:

£16÷1000=0.016p

Answer:

A

Step-by-step explanation:

Put the values of x and y into the expression, then multiply the values.

7 x 3 x 2 x 4 = 168

Answer:

B. 252

Step-by-step explanation:

[tex]7x^2y[/tex]

Put x as 3 and y as 4.

[tex]7\left(3\right)^2\left(4\right)[/tex]

Evaluate.

[tex]7(9)(4)[/tex]

[tex]=252[/tex]

Answer: What is the question? If you could be more specific I could try to help but there is no question here.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

just did it

Step-by-step explanation:

A represents the number of minutes for television advertising an B represents the square inches of newspaper advertising.

To find the price, you have to multiply the amount of money per minute by the number of minutes for television advertising which is $100 and the amount of money per square inch for newspaper advertising which is $25 and it should be less than or equal to the money he has allocated to advertising as seen in the inequality below.

100a + 25b  ≤  2500

Answer:

-8

Step-by-step explanation:

The slope is found by

m = (y2-y1)/(x2-x1)

    = ( 36-12)/(8 - 11)

     = 24 / -3

    = -8

[tex]\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in your coordinates and solve}\\\\\frac{12-36}{11-8}\\\\\frac{-24}{3}\\\\-8\\\\\boxed{\text{Slope: -8}}[/tex]

Answer:

FALSE, (2, 9) is not a solution to the set of inequalities given.

Step-by-step explanation:

Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:

irst inequality:

[tex]y\geq 4x\\9\geq 4\,(2)\\9\geq 8[/tex]

so thi inequality is verified as true since 9 is larger or equal than 8

Now the second inequality:

[tex]y<x+2\\9<(2)+2\\9<4[/tex]

This is FALSE since 9 is larger than 4 (not smaller)

Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.

Answer:

v = -38

Step-by-step explanation:

v/2 + 15 = -4

Subtract 15 from each side

v/2 + 15-15 = -4-15

v/2 = -19

Multiply by 2

v/2 *2 = -19*2

v = -38

Answer:

v = -38

Step-by-step explanation:

v/2 + 15 = -4

Isolate the variable -->

15-15 --> -4-15 --> 0, -19

v/2  = -19

Multiply both sides by 2 to get rid of the /2

-19 x 2 = -38 =>

v = -38

Hope this helps!

Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]

(2)

Compute the value of P (z < -0.42) as follows:

[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]

(3)

Compute the value of P (z < 3.04) as follows:

[tex]P(z<3.04)=0.99882[/tex]

(4)

Compute the value of P (z > -2.43) as follows:

[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]

Answer:

answer is 24

area of triangle=1/2 base*height

1/2*16*3=24

Answer:

24 sq. units

Step-by-step explanation:

Area of a triangle = Base x height ÷ 2

Base = 16

Height = 3

Therefore 16 x 3= 48 ÷2 = 24

I really hope this helps:)

Step-by-step explanation:

Angles and sides go hand-in-hand. Although I don't see the actual triangle that's used, and that can affect my answer, the side opposite of the shortest angle will be the shortest, the side opposite of the middle angle will be the middle, and the side opposite the largest angle will be the largest. For example, if the shortest angle (m∠X = 51) is the top vertex, the base side will be the shortest.

Answer:

Solution,

[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]

Some rules:

[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Hasty generalization fallacy

Step-by-step explanation:

Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.

In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.

Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.

Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.

Answer: b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex]

Step-by-step explanation:

The general equation of a sphere is : [tex](x - a)^2 + (y - b)^2+ (z - c)^2 = R^2[/tex], where (a, b, c) represents the center of the sphere, R represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.

Given, Center of the sphere =  (2,-9,-1)

Radius = √r

Then, the equation of the sphere would be

[tex](x - 2)^2 + (y - (-9))^2+ (z - (-1))^2 = (\sqrt{r})^2\\\\\Rightarrow\ (x-2)^2+(y+9)^2+(z+1)^2=r[/tex]

Hence, the correct option is b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex] .

Answer:

Step-by-step explanation:

Hello

first of all we assume that this number is different from 0 as dividing by 0 is not allowed

let's not n this number

its inverse is

[tex]\dfrac{1}{n}[/tex]

and we can write

[tex]n*\dfrac{1}{n}=1[/tex]

hope this helps

Answer:

x * 1/x = 1

Step-by-step explanation:

Let x be the number

1/x is the inverse

x * 1/x = 1

The number -32 belongs to set : A) integers, rational

Rational numbers are terminating or  repeating real numbers. Whereas, irrational numbers are the complement of rational number with real number being the universal set. These numbers are non terminating non repeating real number.

Integers are a subset of rational number. These are numbers not in fraction or decimal, or say with a denominator 1.

Whole numbers are subsets of integers which are positive, or say integers greater than equal to 1.

Given number : -32.

Since, the number is terminating, it is rational.

Further, it is not a fraction or decimal, hence integer.

But since the number is negative, not a whole number.

Therefore A) Integers, rational is correct option.

Learn more about rational number here

https://brainly.com/question/17450097

#SPJ2

Answer:

1

Step-by-step explanation:

Factors of 6 and 35:

6  =  1, 2, 3, 6

35  =  1, 5, 7, 35

The only common factor in both numbers is 1

The highest common factor is 1.

GCF = 1

Answer:

1

Step-by-step explanation:

Prime factorizations:

6 = 2 × 3

35 = 5 × 7

There are no factors in common, so the GCF is 1.

Answer:

The answer is option B.

Step-by-step explanation:

Let < D be x

Since the triangle isosceles < E is also the same as < D

Let < E also be x

Angles in a triangle add up to 180°

x + x + 102 = 180

2x = 180 - 102

2x = 78

Divide both sides by 2

x = 39°

Therefore m < D is 39°

Hope this helps you

Answer:

option 4

Step-by-step explanation:

Given the x- intercepts say x = a, x = b, x - c then the corresponding factors are

(x - a), (x - b), (x - c) and the polynomial is the product of the factors

Here the x- intercepts are x = 3, x = 0, x = - 1, thus the factors are

(x - 3), (x - 0), (x - (- 1) , that is

(x - 3), x and (x + 1) , then

y = ax(x - 3)(x + 1) ← where a is a multiplier

To find a substitute (1, - 8) into the equation

- 8 = a(1 - 3)(1 + 1) = - 4a ( divide both sides by - 4 )

a = 2, thus

y = 2x(x - 3)(x + 1) ← expand factors using FOIL

   = 2x(x² - 2x - 3) ← distribute by 2x

    = 2x³ - 4x² - 6x

Answer:

D) 2x3 – 4x2 – 6x

Step-by-step explanation:

Answer:

A. dividir los 1.500 dm2 entre 100, ya que 1 m2 equivale a 100 dm2

Step-by-step explanation:

El costo unitario conocido está tasa en pesos por cada decímetro cuadrado. Un metro cuadrado equivale a cien decímetros cuadrados o lo que es lo mismo, un decímetro cuadrado es una centésima parte de un metro cuadrado. Entonces, resulta necesario convertir los decímetros cuadrados a metros cuadrados mediante la siguiente conversión:

[tex]c = \left(\frac{\$\,16000}{1500\,dm^{2}} \right)\cdot \left(100\,\frac{dm^{2}}{m^{2}} \right)[/tex]

[tex]c = \$\,1066.67[/tex] por cada metro cuadrado.

En síntesis, se debe dividir los 1500 decímetros cuadrados por 100. (Opción A)

Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)