A star is estimated to be 150,000,000,000,000 km away from Earth. Write this distance in scientific notation. [?] × 10 km ​

The amount of money Kim, maneet and Sutopa have is $115.6, $97.6 and $73.2 respectively.

x + (x - 18) + 3/4(x-18) = 286.40

x + x - 18 + 3/4x - 13.5 = 286.40

2 3/4x = 286.40 + 13.5 + 18

11/4x = 317.9

x = 317.9 ÷ 11/4

= 317.9 × 4 / 11

= 1,271.6 / 11

x = $115.6

So,

Kim = x

= $115.6

Maneet = x - 18

= 115.6 -18

= $97.6

Sutopa = 3/4(x-18)

= 3/4(97.6)

= $73.2

Learn more about equation:

https://brainly.com/question/4344214

#SPJ1

Answer:

1 m by 189 m

Step-by-step explanation:

The perimeter is 2(70+120)=380.

The area is (70)(120)=8400.

If we let the park have a width of 1 meter and a length of 189 meters, then the area will be 189 square meters, which is smaller than 8400 square meters, as required.

Answer:

5

Step-by-step explanation:

6x+4=34

6x=30

x=5

hope this helps <3

Answer:

Hope it helps u, any questions u may ask me

x=70 [alternate interior angles]

y=60 [alternate interior angles]

a=110 [By linear pair]

b=120 [By linear pair]

The number of compounding per year is[tex]N = 920(1+0.03)^4t[/tex]

This can be calculated by making use of the formular;  920(1.03)^4t and use the  compound interest equation which is N=P( 1+r/n)^nt

We know that 12% was given as the rate per year, then to get the quarter rate we divide by factor of 4, which is  12/4= 3%

The compounding for t years = n*t = 4t where n=4.

and the Initial number of cars serviced=920

Then we can substitute the values into the above equation, we have Thus [tex]N = 920(1+0.03)^4t[/tex]

Learn more about compound interest at:

https://brainly.com/question/13023589

#SPJ1

CHECK THE COMPLETE QUESTION BELOW:

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. A car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012. Create an exponential expression to model the number of cars serviced after t years. Then, match each part of the exponential expression to what it represents in the context of the situation. 920(1.03) is the number of cars multiplied by 1.03. The quarterly rate of growth is 0.03 or 3%. The compound periods multiplied by the number of years is 4t. The initial number of cars serviced is 920. The growth factor is represented by 1.03. The growth rate is 1.03. Exponent arrowRight Base arrowRight Coefficient arrowRight Rate arrowRight

The theorem which justifies that two lines are parallel when cut by a transversal k is converse of the alternate interior angles theorem.

Given that two lines m and n are parallel.

We have to find the theorem which justifies that the lines m and n are parallel when cut by a transversal k.

Parallel lines are those lines which do not meet each other at any point on the surface.

If we know that the alternte interior angles are equal,then m and n become parallel to each other.

So the converse of the alternate interior angles theorem correctly justifies that the lines are parallel if cut by a transversal k.

Hence to justify that two lines are parallel if they are cut by a transversal k, we have to use converse of the alternate interior angles theorem.

Learn more about lines at https://brainly.com/question/13763238

#SPJ4

Question is incomplete as it should include the following options:

1) converse of the corresponding angles theorem,

2) converse of the alternate interior angles theorem.

3) converse of the same side interior angles theorem,

4) converse of the alternate exterior angles theorem.

Answer:

0.315

Step-by-step explanation:

The length of the radius of the sphere is 9.26 inches.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is denoted by the letter r, and the specified point represents its center.

Volume of cube=343 cubic inches

Side of cube=[tex]\sqrt[3]{343}[/tex] = 7 inches

The radius of the sphere is equal to half the diagonal length of the cube since the cube is inscribed inside the sphere, whose diameter is the cube's diagonal length. Utilizing the distance formula, we can determine the cube's diagonal length.

[tex]d=\sqrt{7^{2}+7^{2}+7^{2} } \\=\sqrt{7*7^{2} } \\=7\sqrt{7}[/tex]

To determine the radius of the sphere, divide the value by two.

Radius of sphere=[tex]\frac{7\sqrt{7} }{2}[/tex] = 9.26 inches

Learn more about sphere here:

https://brainly.com/question/1293273

#SPJ4

Answer:

1251 cm

Step-by-step explanation:

Perimeter is just adding the side lengths together.

Answer: True.

Step-by-step explanation:

The prefix "bi-" shows that there are two terms in a binomial expression. Therefore, this statement is True.

I hope this helps! :)

Answer:

A. True.

Step-by-step explanation:

A binomial has two terms.

Think of it this way. Any object's name that starts with 'bi' has two of something. For example, a bicycle, bicycles have 2 wheels.

Hope this helps!

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Answer: D times 6 = 72

D= 12

Step-by-step explanation:

The term product means multiplication. Donnie's age is represented by the letter d, so if the product of d and 6 is 72, or in other words, d times 6 is 72, then d would equal 12

Use the given function to find the [tex]y[/tex]-coordinate of [tex]A[/tex].

[tex]x=2 \implies y = 10+8\cdot2+2^2-2^3 = 22[/tex]

Find the equation of the line through the origin and [tex]A[/tex]. This line has slope

[tex]\mathrm{slope} = \dfrac{22-0}{2-0} = 11[/tex]

and passes through (0, 0), so its equation is

[tex]y - 0 = 11 (x-0) \implies y = 11x[/tex]

Then the area of the shaded region is given by the definite integral

[tex]\displaystyle \int_0^2 (y - 11x) \, dx = \int_0^2 (10 + 7x + x^2 - x^3) \, dx \\\\ ~~~~~~~~ = \left(10x + \frac72 x^2 + \frac13 x^3 - \frac14 x^4\right)\bigg|_0^2 \\\\ ~~~~~~~~ = 10\cdot2+\frac72\cdot2^2+\frac13\cdot2^3-\frac14\cdot2^4 = \boxed{\frac{98}3}[/tex]

There are 105 comparisons made with 15 statistically independent scenarios.

According to the statement

we have given value of n is 15.

Then r = 2. so,

we use the formula NcR then

Substitute the values in it then

15c2

we open it according to ncr formula

In this formula we arrange the terms according to the following

NcR formula = n! /r! * (n-r)!

then the terms will arrange in this way.

So,

ncr = 15! / 2! * 13!

After solving the statement some terms will be cancel with each other and remaining terms are

ncr = 15*14/2

ncr = 210/2

ncr = 105

here the value becomes 105.

So, There are 105 comparisons made with 15 statistically independent scenarios.

Learn more about COMBINATION here https://brainly.com/question/12725706

#SPJ4

Rotation is a transformation where an object is rotated about a fixed point.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation, reflection and rotation are rigid transformations because they preserve the shape and size of the figure.

Rotation is a transformation where an object is rotated about a fixed point.

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

Step-by-step explanation:

12 inches

djaikfnshaidifb

Using linear functions, it is found that over a range of x < 10000 she will make more from the Comfort over Style job than she will from the Heels for Fashion Slaves job

A linear function is modeled by:

y = mx + b

In which:

Considering the fixed salary as the intercept and the earning per shoe sold the slope, the functions for her salaries at each situation is:

He will make more from the Comfort over Style job than she will from the Heels for Fashion Slaves job when:

C(x) > H(x)

52000 + 3.25x > 37000 + 4.75x

1.5x < 15000

x < 15000/1.5

x < 10000

The range is x < 10000.

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

#SPJ1

Answer:

Step-by-step explanation:

What is the length of the apothem, rounded to the nearest inch? recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon. 4 in. 5 in. 9 in. 11 in.

Answer:

9

Step-by-step explanation:

apothem (AB)

1/2 of the length (10) is 5

AB^2 + 5^2 = 10^

AB^2 = 100-25

Square root of AB^2 = square root of 75

AB = 8.66

8.66 is about 9

Answer:

1/36

Step-by-step explanation:

The probability for showing a three the first time is 1/6, and then again is another 1/6, multiply and you get 1/36

Answer:

[tex]\sf Sin \ S = \dfrac{2}{9}[/tex]

Step-by-step explanation:

 [tex]\sf \boxed{\bf Sin \ S = \dfrac{opposite \ side \ of \ \angle S}{hypotenuse}}[/tex]

             [tex]\sf = \dfrac{RQ}{SQ}\\\\= \dfrac{2}{9}[/tex]

Answer:

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

A scale factor of 2/3 means multiplying all side lengths by 2/3

15*2/3=10

Using proportions, it is found that the coordinates of point B are given as follows:

A. (1.6, 0).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point B is 3/4 of the way from AB to AC, hence:

[tex]B - A = \frac{3}{4}(C - A)[/tex]

The points are:

Then, to find the x-coordinate:

[tex]x + 2 = \frac{3}{4}(3 + 2)[/tex]

x + 2 = 3.6.

x = 1.6.

For the y-coordinate:

[tex]y + 3 = \frac{3}{4}(1 + 3)[/tex]

y + 3 = 3

y = 0.

Hence option A is correct.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The range of the values are 8.3<x< 8.38

The given figure is an isosceles triangle, with none of its side equal.

Using the Pythagorean theorem, we have

[tex] {x}^{2} = \sqrt{ {8}^{2} } + \sqrt{ {2.5}^{2} } [/tex]

[tex] x = \sqrt{70.25} [/tex]

[tex]x = 8.38[/tex]

Thus, the range of the values are 8.3<x< 8.38

Learn more about Pythagorean theorem here:

https://brainly.com/question/654982

#SPJ1

Answer:

The circle is a round shape that has a total angle of 360 degrees. If a circle is divided into 6 equal parts, the measure of the angles between spokes is 12 degrees.

Step-by-step explanation:

to find the angle

360/30=12

the angle is 12 degrees

I hope this helps and have a good day!

Answer:

Step-by-step explanation:

A parallel line will have the same slope, m, as the reference line given by the form y=mx+b.  b is the y-intercept, the value of y when x=0.

The reference line of y = -(1/2)x + (3/7) has a slope of -(1/2).

The parallel line will have the same slope, so we can write:

y - -(1/2)x + b

We need a value of b that forces the line to go through point (-1,0).  Enter that point in the equation and solve for b:

y - -(1/2)x + b

0 - -(1/2)(-1) + b

b = -(1/2)

The equation of the line parallel to y = -(1/2)x + (3/7) and going through (-1,0) is

  y=-(1/2)x - (1/2)

The correct answer is 64 - 3 a.

What is a linear equation in math?

I spent a dollars at American Eagle, which is 4 more than the amount I spent at Banana Republic ( b ).

a = b + 4.  Therefore: b = a - 4

Also I spent 15 less at American Eagle than I spent in Cole Haan ( c ).

a = c - 15, or: c = a + 15.

75 - a - ( a - 4 ) - ( a + 15 ) = 75 - a - a + 4 - a - 15 =

= 64 - 3 a

Therefore, I have 64 - 3a dollars left after shopping at these three stores. Now we just have to know how much dollars I spent at American Eagle and we will have the amount in dollars.

Learn more about linear equation

brainly.com/question/387530

#SPJ4

The complete question is -

I enter the mall with $75 dollars. I spend a dollars at American Eagle, which is 4 more than the amount I spent at Banana Republic. I also spent 15 less at American Eagle than I spent at Cole Haan. How much money do I have left after shopping at these three stores?

The correct option is C. political affiliation.

An example of quantitative data are-

Data that expresses a definite quantity, amount, or range is known as quantitative data. In most cases, the data is accompanied with measuring units, such as metres in the case of a person's height. Setting boundaries for such data makes sense, and performing mathematical operations on the data has significance.

Types of Quantitative Data are-

To know more about quantitative data, here

https://brainly.com/question/96076

#SPJ4

The complete question is-

8. Each of the following is an example of quantitative data, except ______.

A. weight in ounces

B. income in dollars

C. political affiliation

D. age in years

Answer:

(x-4)=0 or (x+2)=0 is correct

Step-by-step explanation:

(x+1)(x-3)=5

x^2 -3x +x -3=5

x^2-2x-8=0

x^24x+2x-8=0

(x+2)(x-4)=0

so,

(x-4)=0 or (x+2)=0

The solutions to the expression are:

x - 4 = 0 or x + 2 = 0.

Option C is the correct answer.

We have,

To determine which of the following statements is true:

(x + 1) = 0 or (x - 3) = 0

(x + 1) = 5 or (x - 3) = 5

(x - 4) = 0 or (x + 2) = 0

We can solve the given equation (x + 1)(x - 3) = 5 by expanding the equation and setting it equal to 0:

(x + 1)(x - 3) - 5 = 0

Expanding the equation:

x² - 3x + x - 3 - 5 = 0

x² - 2x - 8 = 0

Now we can factor the quadratic equation:

(x - 4)(x + 2) = 0

From this factorization, we find two possible solutions:

x - 4 = 0 --> x = 4

x + 2 = 0 --> x = -2

Therefore,

The correct statement is:

(x - 4) = 0 or (x + 2) = 0

i.e

x - 4 = 0 or x + 2 = 0.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7