1. Distance in space is often written using a light year. A light year is the distance light travels in
one year. It is equal to about 6,000,000,000,000 miles. Write this measurement in scientific
notation.
A. 6 x 10¹0 miles
B. 6 x 10¹1 miles
C. 6 x 10¹2 miles
D. 6 x 10¹3 miles

Answer:

300%

Step-by-step explanation:

3 times 250 is 750

Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

The amount of gas the car used is;

Explanation:

Given the equation;

where;

m = distance in miles that a car can travel using g gallons of gas.

If the car has gone 140 miles ;

Substituting the value of m;

Therefore, the amount of gas the car used is;

Answer:

Martin Did not make any mistakes

Answer:d

Step-by-step explanation:

Martin did not make any mistakes. Have a nice day. ;)

Answer:

y= -1/3x + 2

Step-by-step explanation:

Answer:

y= -1/3x +1

Step-by-step explanation:

As long as the slope remains the same, the vertical shift can change to create a parallel equation.

Hey there! :)

Answer:

A. x - 5

B. x + 4

Step-by-step explanation:

Starting with:

x² - x - 20

Find two numbers that add up to -1 and multiply to form -20. We get:

-5, and 4. Use these numbers when writing this equation in factored form:

(x - 5) (x + 4) is the trinomial in factored form. The two binomials that are factors are:

A. x - 5

B. x + 4.

Answer:

(x-5) (x+4)

Step-by-step explanation:

x^2 - X-20

Factor

What two numbers multiply to -20 and add to -1

-5*4 = -20

-5+4 = -1

(x-5) (x+4)

Answer: (2\(x^{2}\) - 4)/7

Step-by-step explanation: (x-2)/3   ×  6x/7

           = 6x(x-2) ÷ (7 × 3)

           = (2\(x^{2}\) - 4)/7

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

Answer:

4 seconds

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

that is what i think it is i am almost positive

Step-by-step explanation:

Centre of circle(h,k)=(1,-4)

radius of the circle(r)=2

Equation of the circle is,

(x-h)^2+(y-k)^2=r^2

(x-1)^2+(y+4)^2=2^2

x^2-2x+1+y^2+8y+16=4

x^2+y^2-2x+8y+13=0 is the req.equation of the circle.

Give brainliest

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer: 4m

Step-by-step explanation:

20-16= 4

add units

20m - 16 m= 4m

Answer:

(x + 3)2 + (y + 2)2 = 9. Which transformation of circle A shows that circle B is

similar?

Step-by-step explanation:

Answer:

\(y=0.25x+18\)

Step-by-step explanation:

So first we take the equation we are given and write it in slope-intercept form (y = mx + b):

\(y+4= \frac{1}{4} (x+5)\\\\y+4=0.25x +1.25\\\\y=0.25x-2.75\)

Now we know parallel lines have the same slope, so the line we are looking for has a slope of 0.25.

so we can start to set up our equation:

\(y=0.25x+b\)

and then substitue in the point (8,20) to find the y-intercept.

\(20=0.25(8)+b\\20=2+b\\b=18\)

So now we have our equation:

\(y=0.25x+18\)

Hope this helps!

Answer:

\(\cos (\theta)\)

Step-by-step explanation:

\(\dfrac{\tan (\theta) \cot (\theta)}{\sec (\theta)}= \\\\\\\dfrac{\dfrac{\sin (\theta)}{\cos (\theta)}\cdot \dfrac{\cos (\theta)}{\sin (\theta)}}{\dfrac{1}{\cos (\theta)}}= \\\\\\1\cdot \cos (\theta)=\\\\\\\boxed{\cos (\theta)}\)

Hope this helps!

Answer:

She gave 8 apples to each friend.

Step-by-step explanation:

2{[2(14-x)]-x} = 0  Distribute the 2

2[28-2x -x) -x = 0  Combine like terms

2(28 -3x) -x = 0   Distribute the 2

56 - 6x - x= 0  Combine like terms

56 -7x = 0  Subtract 56 from both sides

-7x  = -56   Divide both sides by -7

x = 8

Check:

7 x 2 = 14

14 - 8 = 6

6 x 2 = 12

12 - 8 = 4

4 x 2 = 8

8 - 8 = 0

Checks.

Helping in the name of Jesus

Answer:

The mean increases and the median changes to 4.

Step-by-step explanation:

To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.

Answer:

5.5 Mean

5 Median

Step-by-step explanation:

6+9+4+3+9+3+5 =5.5

7

Answer:

The Cardinality of this set {7,8,9} is n(P) = 8.

Step-by-step explanation:

Because:

n(P) = {{}, {7}, {8}, {9}, {7, 8}, {8, 9}, {7, 9}, {7, 8, 9}}

Hence by the formula 2^k.

where, k = number of elements in the set.

The cardinality is 8.

Answer:

the third one

Step-by-step explanation:

15/20 cubes are shaded. 15/20 can be simplified to 3/4 which is 75%

The sum of the internal angles of the polygons are

a) The sum is A = 540°

b) The sum is A = 360°

c) The sum is A = 1800°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the internal angles of a polygon be represented as A

Now , the value of A is

The sum of exterior angle of n polygon is = 360°

Now ,

a)

The number of sides of the polygon = 5 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 5 in the equation , we get

nθ = 180° ( 5 - 2 )

nθ = 180° x 3

nθ = 540°

b)

The number of sides of the polygon = 4 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 4 in the equation , we get

nθ = 180° ( 4 - 2 )

nθ = 180° x 2

nθ = 360°

c)

The number of sides of the polygon = 12 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 12 in the equation , we get

nθ = 180° ( 12 - 2 )

nθ = 180° x 10

nθ = 1800°

Hence , the sum of the internal angles of the polygon is solved

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Answer:

w = 18

Step-by-step explanation:

Step 0: Set up the equation

=> -3w - 4 + 5w = 32

Step 1: Move the same variable together

=> -3w + 5w = 32 + 4

Step 2: Add up and simplify

=> 2w = 36

Step 3: Divide both by 2

=> w = 18

Answer:

W=18

Step-by-step explanation:

-3w-4+5w=32

-3w+5w-4=32

2w-4=32

2w=32+4

2w=36

W=18

Step-by-step explanation:

C = cost of a composition book; 5 composition books purchased

T = total amount spent < $26

M = cost of magazine = $4

T = M + 5C < $26

$4 + 5C < $26

The problem statement did not ask for a solution, but here it is:

$4 + 5C < $26 ⇒ 5C < $22 ⇒ C < $4.40

Cost of a composition book < $4.40

Answer:

15

-----

32

Step-by-step explanation:

3             5              15

--      *     --      ==     ---

4             8              32

Step-by-step explanation:

The time it takes for the manticore to travel 10 miles with the wind is given by

\(T_1 = \dfrac{10\:\text{mi}}{v_m + v_w}\)

where \(v_m\) is the speed of the manticore and \(v_w\) is the speed of the wind.

Likewise, the time it takes for the manticore to travel 5 miles against the wind is

\(T_2 = \dfrac{5\:\text{mi}}{v_m - v_w}\)

Since \(T_1 = T_2,\) we can write

\(\dfrac{10\:\text{mi}}{v_m + v_w} = \dfrac{5\:\text{mi}}{v_m - v_w}\)

After cross-multiplying,

\(10(v_m - v_w) = 5(v_m + v_w)\)

\(\Rightarrow 10v_m - 10v_w = 5v_m + 5v_w\)

Collecting similar terms, we get

\(15v_w = 5v_m\)

Solving for \(v_w,\) we get

\(v_w = \dfrac{5}{15}v_m = \dfrac{1}{3}v_m\)

\(\:\:\:\:\:\:\:=\dfrac{1}{3}(30\:\text{mi/hr}) = 10\:\text{mi/hr}\)

Speed of the wind as the mantle flies 30 mph is;

10 mph

t = distance/speed

Let v_m be speed of manticore

Let v_w be wind speed

t = 10/(v_m + v_w)

t = 5/(v_m - v_w)

I used negative sign between  v_m and v_w because the motion is against the wind.

10/(30 + v_w) = 5/(30 - v_w)

Rearranging gives us;

(10/5)(30 - v_w) = 30 + v_w

2(30 - v_w) = 30 + v_w

60 - 2v_w = 30 + v_w

30 = 3v_w

v_w = 30/3

v_w = 10 mph

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