The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. Predict the number of households with cable television in year 11.

8.2 million
9.1 million
11.4 million
15.6 million

Answer:

5x and -7x

Step-by-step explanation:

they both end in the variable "x"

Heres a photo of the solution, please give brainlist if you liked it!

Michelle is 1.53 m or 153 cm if Nikki is 8 cm shorter then Marissa is 6 cm taller than Michelle. the combined height of the three girls is 4.63 m

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Nikki is 8 cm shorter than Marissa is 6 cm taller than Michelle. the combined height of the three girls is 4.63 m.

Let Nikki's height is N, Marissa's height is Ma, and Michelle's height is Mi

N = Ma - 8

Ma = 6 + Mi

N + Ma + Mi = 4.63

N + Ma + Mi =  463

Plug N =Ma - 8 in the equation N + Ma + Mi = 463, we get:

Ma - 8 + Ma + Mi = 463

2Ma - 8 + Mi = 463

Plug Ma = 6 + Mi in the equation  2Ma - 8 + Mi = 463, we get:

2(6 + Mi) - 8 + Mi = 463

12 + 2Mi - 8 + Mi = 463

3Mi = 463 + 8 - 12

3Mi = 459

Mi = 459/3

Mi = 153 cm

or

Mi = 1.53 m

Thus, Michelle is 1.53 m or 153 cm if Nikki is 8 cm shorter then Marissa is 6 cm taller than Michelle. the combined height of the three girls is 4.63 m

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Hyperbolic tan x is verified to equal to  

To verify the identity using the definitions of the hyperbolic functions, we start with the definition of hyperbolic tangent:

tanh x = sinh x / coxh x =  (e^x - e^-x) / (e^x + e^-x)

We can simplify this expression by multiplying the numerator and denominator by e^x:

tanh x = (e^x - e^-x) / (e^x + e^-x) * (e^x / e^x)

tanh x = (e^2x - 1) / (e^2x + 1)

We can see that this expression is equivalent to the given identity

Learn more about hyperbolic functions at:

https://brainly.com/question/2798006

#SPJ1

Answer:

x = 4

Step-by-step explanation:

given 2 secants from an external point to the circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the other secant's external part and that entire secant, that is

6(6 + x) = 5(5 + 7)

6(6 + x) = 5 × 12 = 60 ( divide both sides by 6 )

6 + x = 10 ( subtract 6 from both sides )

x = 4

Answer:

  745

Step-by-step explanation:

You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.

We often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...

  (2x +298)/(5x +298) = 4//7

Cross multiplying gives ...

  7(2x +298) = 4(5x +298)

  3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))

  149 = x

  745 = 5x . . . . . . the original number of books in the library

There were 745 books in the library at first.

__

Additional comment

If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...

  2/5x +298 = 4/7(x +298)

<95141404393>

For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

12

Step-by-step explanation:

To find how many hours, you need to divide by 6.25.

75 / 6.25 = 12.

The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Here given equations,

5(3x) + 6x = 3x + 15 + 2x

15x + 6x = 3x + 15 + 2x

15 x + 6x - 3x -2x = 15

16 x = 15

x = 15/16

5(3x).+ 7x = 3x + 15 - x

15 x + 7x = 3x + 15 - x

15 x + 7x - 3x + x = 15

22x - 3x + x = 15

20 x = 15

x = 15/20

x = 3/4

5(3x) + 7x = 3x + 10 - x

15x + 7x - 3x + x = 10

20x = 10

x = 10/20

x = 1/2

5(3x) + 7x = x + 15 - 3x

15x +7x - x + 3x = 15

24x = 15

x = 15/24

x = 5/8

Therefore the equations that has the solution x = all real numbers are :

5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .

To learn more about equations refer to :

brainly.com/question/2972832

#SPJ1

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

For such more questions on Radius:

https://brainly.com/question/24375372

#SPJ11

Answer:

I can't see all the options, but I think it's C or B

Answer:

3

Step-by-step explanation:

The recipe serves 36 people. You need to serve 108 people.

In the example,

original serving (8) * multiplier (4) = new serving (32)

Here,

original serving = 36 and new serving = 108

36 * multiplier = 108

divide both sides by 36 to isolate the multiplier

108/36 = multiplier = 3

Answer: 4000

Step-by-step explanation:

Answer:

6+4+15 = 25 and since there are 6 red marbles the answer is 6/25

Answer:

6 out of 25 chance/ 24%

Step-by-step explanation:

15 + 4 = 19 + 6 = 25

6/25 = 0.24 = 24%

Answer:

3 dollars

Step-by-step explanation:

Khan academy said so

Hey there! I'm happy to help!

You haven't provided any answer choices but I can show you a trick to find any number between two numbers. This is will give you an instant answer to one being greater than one number and less than another.

What you do is you add the two numbers and divide by two!

2/5+3/5=1

1÷2=1/2

Therefore, 1/2 is a possible answer here.

I hope that this helps! Have a wonderful day!

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

Read more about two column proof at; https://brainly.com/question/1788884

#SPJ1

The polygon shown in the figure is trapezoid and the value if x is  .

What is trapezoid?

A trapezoid may be a polygonal shape that has just one try of parallel sides. These parallel sides also are referred to as parallel bases of trapezoid. the opposite 2 sides of trapezoids area unit non-parallel and referred to as legs of trapezoids

Main body:

by using the property of trapezoid ,

1/2(sum of both bases) = mid-line passing through trapezoid

according to question:

x = 1/2(x-8+2x-12)

x = 1/2(3x -20)

2x = 3x - 20

x = 20

Hence value of x is 20.

to know more about polygons , visit:

https://brainly.com/question/26583264

#SPJ1

Answer:

-15

Step-by-step explanation:

g(x) = -4x + 5, find g(5)

Let x = 5

g(5) = -4*5 +5

      = -20 +5

     = -15

\(\begin{gathered} 9 - 4\sqrt{5} \\ \\ = 4 + 5 - 4\sqrt{5} \\ \\ = (- 2)^2 + (\sqrt{5})^2 + (2 \times - 2 \times \sqrt{5}) \\ \\ = (- 2 + \sqrt{5})^2 \\ \\ = (\sqrt{5} - 2)^2 \\ \\ \\ \therefore \sqrt{9 - 4\sqrt{5}} = \sqrt{5} - 2 \end{gathered}\)

Hope this may be helpful.

1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

For more questions related to coefficient

https://brainly.com/question/24881460

#SPJ1

1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

For more questions related to coefficient

https://brainly.com/question/24881460

#SPJ1

Answer:

Radius = 25.5 units

Diameter = 51 units

Step-by-step explanation:

r = radius of circle

d = Diameter of circle

  = \(2r\)

Circumference of circle = \(2\pi r\)

Substitute the provided value of the circumference:

                               \(51\pi = 2\pi r\)

r is to be isolated and made the subject of the formula:

                                 \(r = \frac{51\pi}{2\pi}\)

\(\pi\) in the numerator and denominator cancel each other outcompletely:

                                 \(r = \frac{51}{2}\)

                          ∴r = radius of circle = 25.5 units

This also means that:

\(d = 2r\)

\(d = 2(25.5)\)

∴d = Diameter of the circle = 51 units

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

Learn more about Income Format here:

https://brainly.com/question/15312142

#SPJ1

Answer:

The expected win of a coin flip in dollars is 1.25.

Step-by-step explanation:

To find the expected win of a coin flip, we multiply the probability of each outcome by their earnings, and then add them.

We have that:

3/4 probability of heads. If heads, you win $2.

1/4 probability of tails. If tails, you lose $1.

What is the expected win of a coin flip in dollars?

\(E = 2\frac{3}{4} - 1\frac{1}{4} = \frac{2*3 - 1*1}{4} = \frac{6-1}{4} = \frac{5}{4} = 1.25\)

The expected win of a coin flip in dollars is 1.25.

Answer:

50,150 times larger

Step-by-step explanation:

(9.98*10^2)/(1.99*10^-2)

The value of √7 to the nearest hundredth is 2.65.

A square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

Here, given number;

     y = \(\sqrt{7}\)

    y = 2.64575....

    y = 2.65

Thus, the value of √7 to the nearest hundredth is 2.65.

Learn more about Square root from:

https://brainly.com/question/3120622

#SPJ1

Answer:

Step-by-step explanation:

90 times 3 = 270

9x-3 + 6x + 48 = 270

add like terms, 48-3 = 45

9x + 6x + 45 = 270

subtract 45 both sides and add like terms again

15x = 225

divide 15 on both sides

x = 15

Answer:

260

Step-by-step explanation:

Answer:

A = 6 units

Step-by-step explanation:

6 - 2 = 4

the y-intercept stays the same

the x-intercept changes