The equation of any line in the coordinate plane can be written in the form Ax+By=C where A, B, C are real numbers. Select all of the equations below that define y as a function of x.

−12x−85y=0

−9x+0y=78

0x+56y=−11

3x−4y=−2

Answer:

In scientific notation:

The first number in the mathematical equation is called the "coefficient." The coefficient must be greater than or equal to one and less than 10. For example to create the scientific notation for the number 256, the coefficient would be 2.56.

The second number in the equation is a power of 10, written as 10 with an exponent, like 102 which stands for 10 x 10.

Combining these two numbers would create this scientific notation equation for 256 - 2.56 x 102.

A negative exponent shows the decimal is moved that many places to the left and a positive exponent shows the decimal is moved that many places to the right.

Scientific Notation Examples

Here are examples of scientific notation:

1 = 100

10 = 1 x 10¹

100 = 1 x 10²

1000 = 1 x 10³

10000 = 1 x 104

100000 = 1 x 105

42,000,000 = 4.2 x 107

676,000,000,000 = 6.76 x 1011

0.1 = 1 x 10-1

0.01 = 1 x 10-2

0.001 = 1 x 10-3

0.0001 = 1 x 10-4

0.00001 = 1 x 10-5

0.00000078 = 7.8 x 10-7

0.000000000000000 = 3.56 x 10-13

Real Life Examples of Scientific Notation

Explore how scientific notation is used to express large numbers.

7 x 109 = Population of the world is around 7 billion written out as 7,000,000,000

1.08 x 109 = Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour

2.4 x 105 = Distance from the Earth to the moon is 240 thousand miles or 240,000 miles

9.3 x 107 = Distance from the Earth to the sun is 93 million miles or 93,000,000 miles

3.99 x 1013 = Distance from the sun to the nearest star (Proxima Centauri) is 39,900,000,000,000 km

9.4605284 × 1015 = Distance light travels in a year is less than 9.5 trillion kilometers, or exactly 9,460,528,400,000,000 km

1.4 x 108 = Amount of water surface area on the Earth is 140 million square miles or 140,000,000 square miles

1.0 x 1014 = Approximate number of cells in the human body is 100 trillion or 100,000,000,000,000

1.332 x 10-3 = Density of oxygen is 1332 millionths g per cc or .001332 g per cc

2.4 x 10-3 = Diameter of a grain of sand is 24 ten-thousandths inch or .0024 inch

7.53 x 10-10 = Mass of a dust particle is 0.000000000753 kg

9.1093822 × 10-31 = Mass of an electron is 0.00000000000000000000000000000091093822 kg

4.0 x 10-7 = Length of the shortest wavelength of visible light (violet) is 0.0000004 meter

Answer:

Step-by-step explanation:

These questions can be answered by reference to the formulas for the volume of a cone, cylinder, and sphere.

__

  V = 1/3πr²h . . . volume depends on height as well as radius

Cones with the same radius will sometimes have the same volume. (When they have the same height.)

__

  V = πr²h . . . volume depends on height as well as radius

Cylinders with the same radius will sometimes have the same volume. (When they have the same height.)

__

  V = 4/3πr³ . . . volume depends only on radius

Spheres with the same radius will always have the same volume.

Lets note the formulas first to make clear.

For cone

For cylinder

For sphere

We can see

for first two

For sphere

Answer:

The answer is D.

Step-by-step explanation:

After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1

Let be x and y the original investment and the value after applying the change, both in monetary units. A direct relationship is observed by following this model:

y = (1 + r/100) · x     (1)

Where r is change rate, in percentual units.

After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1

The table of the change in investment with respect to initial investment is missing and is now introduced below:

(x₁, y₁) = (75, 7.5), (x₂, y₂) = (100, 10), (x₃, y₃) = (200, 20), (x₄, y₄) = (300, 30), (x₅, y₅) = (400, 40)

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Answer:

The answer is given in the picture

Step-by-step explanation:

Do you remember me calista

I am alvena

Answer:

$70

Step-by-step explanation:

$5 x 6 hours = $30

$600 ÷ 15% = $40

$30 + $40 = $70

Answer:

1, -1

Step-by-step explanation:

(-2/3)⁰

Anything that is raised to the power of 0 automatically becomes the value 1. Knowing this, apply the exponent.

(-2/3)⁰ = 1

-(7)⁰

Now using what we know, apply the exponent to the 7.

-(7)⁰ = -1

Notice that the negative is NOT inside the parenthesis and therefore does NOT get affected by the power.

Answer:

Area of square - area of circle

Step-by-step explanation:

Answer:

p7

Step-by-step explanation:

If it includes 4 then 0.8, if not then 0.6.

[tex]\stackrel{\textit{3 standing triangles}}{3\left[\cfrac{1}{2}(\stackrel{b}{3})(\stackrel{h}{3}) \right]}~~ + ~~\stackrel{\textit{triangular base}}{\cfrac{1}{2}(3)(2.6)}\implies 13.5~~ + ~~3.9\implies 23.4~m^2[/tex]

Answer:

Exact distance = [tex]\sqrt{202}[/tex]

Approximate distance = 14.2127

==========================================================

Work Shown:

[tex](x_1,y_1) = (7,14) \text{ and } (x_2, y_2) = (18,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-18)^2 + (14-5)^2}\\\\d = \sqrt{(-11)^2 + (9)^2}\\\\d = \sqrt{121 + 81}\\\\d = \sqrt{202}\\\\d \approx 14.2127\\\\[/tex]

Note: I used the distance formula. Though you could plot the points, form a right triangle, and use the pythagorean theorem as an alternative route. The distance formula is effectively a modified version of the pythagorean theorem.

Answer:

I don't understand trig very well but I do get pythagorean theorem, which I can help with. Your final answer will end up being 31.

Step-by-step explanation:

First off the formula for pythagorean theorem is a^2 + b^2 = c^2

We know that C stands for the hypotenuse so we want to know what C is.

A and B are both 22 so our equation turns into 22^2 + 22^2 = c^2

22 squared is 484 which leads to 484 + 484 = c^2

484 + 484 = 968

968 is our C^2 but we still need to find the square root

The square root of 968 is 31.11269837... and a whole lot of other numbers

You round that out to 31 and get the length of your diagonal

Answer:

c

Step-by-step explanation:

Each of the five spaces on the spinner are equal so the theoretical probability for one space (Q) is 1/5. For the experimental probability, they spun it 15 times and 4 times it landed on Q so 4/15 times.

Answer:520 yd

Step-by-step explanation:

multiply 13 x 10 x 8 then divide by 2

I think

Answer:

x= 180° - (103°+33°)

x= 180° - 136°

x= 44°

Answer:

x = 3.5

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 24 – x

-> g(14) = 24 - 14

-> g(14) = 10

f(x) = g(14) (Given)

-> 2x + 3 = 10

-> 2x = 10 - 3

-> 2x = 7

-> x = 7/2

-> x = 3.5

Answer:

  cot(θ) = -1.45

Step-by-step explanation:

The identity applicable to this problem is ...

  tan(π/2 -θ) = cot(θ)

__

Substituting for tan(π/2 -θ), you have the desired cotangent value:

  cot(θ) = -1.45

The measure of the third angle, if the other angles measure 44.3 and 52.4, is 83. 3 degrees.

To determine the angle, we need to know the following;

Then, from the information given, we have that;

A triangle has an angle that measures 44.3 and another that measures 52.4"

Then, we get; x + 52.4 + 44.3 = 180

collect the like terms'

x = 180 - 96.7

x = 83. 3 degrees

Learn about angles at: https://brainly.com/question/25716982

#SPJ2

Answer:

  300 mL

Step-by-step explanation:

There is a simple diagrammatic way to solve mixture problems, illustrated in the attachment. In the left column are the available solution percentages. In the center is the percentage of the desired mix. In the column to the right of that are the diagonal differences between the desired value and the constituent values. Those differences represent the proportions of the constituents on the same horizontal line.

__

Here, that means 30 parts of 60% solution are needed for 5 parts of 25% solution. Since we have 50 mL of 25% solution, we can multiply these ratio values by 10 mL to find the quantities needed. That has been done here in the right-most column.

300 mL of 60% solution are needed to obtain the desired mixture.

__

Additional comment

If you want to write an equation, you can let x represent the quantity of high-concentration solution needed. Then the amount of alcohol in the mix is ...

  0.60x +0.25(50) = 0.55(x +50)

  0.05x = 0.30(50) . . . . . . . subtract 0.55x+0.25(50)

  x = 300 . . . . . . . . . . . . mL of 60% solution needed

Recurrence functions are used to preedict the subsequent value in a sequence. The fourth term of the sequence based on the recurrence relation is 25

Given the recurrence relations according to the question

s(1) = 2 and

s(2)=3

s(k) =s(k-1)+2s(k-2)+6

If s(1) = 2, hence;

s(3) =s(3-1)+2s(3-2)+6

s(3) = s2 + 2s1 + 6
s(3) = 3 + 2(2) + 6
s(3) = 13

Determine the fourth term:

s(4) =s(4-1)+2s(4-2)+6

s(4) = s3 + 2s2 + 6
s(4) = 13 + 2(3) + 6
s(4) = 25

Hence the fourth term of the sequence based on the recurrence relation is 25

Learn more on recurrence relation here: https://brainly.com/question/10636530

Answer:

12 red marbles

Step-by-step explanation:

9/4.5 to get 2 white marbles

54/4.5 to get 12 white marbles

Answer:

173,056,00

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

54 + 53 = 107

54

[tex] \: \: \: \: \: \: \: \: \: \: \: \bold{54 + 53 = 107}[/tex]

Note : To solve a problem like this, all we have to do is find a number that matches the result, in this case it is [tex]\bold{54}[/tex] and [tex]\bold{53}[/tex]

[tex]\therefore[/tex] it gives us a result of [tex]\bold{107.}[/tex]

Answer:

1) C or B

2) J

3) C

4) J

Step-by-step explanation:

1) I am not sure but I think you start with the x so that is -5 then y which is 7 so y= 5/7x - 5 or y= 7/5x - 5

2) The graph always starts at the origin (0.0) that where the line should be put
3) 39 in + 78 in = 117 in

4)

2/3.5 = 0.57

4/7 = 0.57

6/9 = 0.57

7/12 = 0.57

Answer:

(x-18)²+(y+18)²=18².

Step-by-step explanation:

1) the formula is: (x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates of the centre, r - the length of the radius;

2) according to the formula above:

(x-18)²+(y+18)²=18².

Answer:

12(4+3)

Step-by-step explanation:

Answer:

I think its 43.98 or 44 I think its one of those

Step-by-step explanation:

C=2πr=2·π·7≈43.9823

=2π(7)=2⋅722⋅7=2⋅22=44 cm.

Answer:

10%

Step-by-step explanation: There are 5 numbers between 5 and 50 that end in 9. 5 is 10 percent of 50. Pls give brainliest.

The answer would be B: 15.

Answer:

13,62,75,48,1092

Step-by-step explanation:

1+3=4, 6+2=8, 7+5=12, 4+8=12& 1+0+9+2=12.

Answer:

Infinite answers is the correct answer

Step-by-step explanation: