1.5 billion seconds in scientific notations

Explanation:

x + 3y = 2

Converting it to slope intercept form:

y = mx + b  [where m is slope, b is y-intercept]

Make y the subject:

[tex]\sf \rightarrow 3y = 2 - x[/tex]

[tex]\sf \rightarrow 3y = -x + 2[/tex]

[tex]\sf \rightarrow y = -\dfrac{x}{3} + \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow y = -\dfrac{1}{3} x+ \dfrac{2}{3}[/tex]

which reveals slope:

[tex]\star \ slope: \sf - \dfrac{1}{3}[/tex]

Answer:

slope = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 3y = 2 ( subtract x from both sides )

3y = - x + 2 ( divide all terms by 3 )

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{1}{3}[/tex]

Answer:

[tex]\sqrt{400} = 20[/tex]

Step-by-step explanation:

Since the sides of a square are equal, A = s x s so taking the square root of the square provides the length of each side

Answer:

y = - 4

Step-by-step explanation:

[tex]\cfrac{2}{5}\left(10y-5\right)-2y=-10[/tex] (Multiply)

[tex]\cfrac{2\left(10y-5\right)}{5}-2y=-10[/tex]

[tex]\cfrac{2\left(10y-5\right)}{5}\times \:5-2y\times \:5=-10\times \:5[/tex]

[tex]2\left(10y-5\right)-10y=-50[/tex] (Expand)

[tex]10y-10=-50[/tex]

[tex]10y-10+10=-50+10[/tex] ( Add 10)

[tex]10y=-40[/tex] (Simplify)

[tex]\cfrac{10y}{10}=\cfrac{-40}{10}[/tex] (Divide by 10)

[tex]y=-4[/tex]

Answer:

[tex]y=-4[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{2}{5}(10y-5)-2y=-10[/tex]

Expand the brackets:

[tex]\implies \dfrac{2}{5}(10y)-\dfrac{2}{5}(5)-2y=-10[/tex]

[tex]\implies \dfrac{2 \cdot 10}{5}y-\dfrac{2 \cdot 5}{5}-2y=-10[/tex]

[tex]\implies \dfrac{20}{5}y-\dfrac{10}{5}-2y=-10[/tex]

[tex]\implies 4y-2-2y=-10[/tex]

Collect like terms:

[tex]\implies 4y-2y-2=-10[/tex]

Combine like terms:

[tex]\implies 2y-2=-10[/tex]

Add 2 to both sides:

[tex]\implies 2y-2+2=-10+2[/tex]

[tex]\implies 2y=-8[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{-8}{2}[/tex]

[tex]\implies y=-4[/tex]

Answer:

C. 192 1/2 in^2.

Step-by-step explanation:

Split this up anto 1 triangle and one rectangle

Area of the triangle = 1/2 * base * height

Its height = 36 - 25 = 11, and the base =  2 1/4 + 2 1/4 + 5 1/2= 10.

So it's area = 1/2 * 10 * 11 = 55.

Area of rectangle = 25 * 5 1/2 = 137 1/2.

Total area of the arrow = 55 + 137 1/2 =   192 1/2 in^2.

Answer:

The federal government's "enumerated powers" are listed in Article I, Section 8 of the Constitution. Among other things, they include: the power to levy taxes, regulate commerce, create federal courts (underneath the Supreme Court), set up and maintain a military, and declare war. It is their job to carry out constitutional responsibilities for society.

Step-by-step explanation:

Answer:

x=y/5+14/5

Step-by-step explanation:

Answer:

Length: 18 yards Width: 12 yards

Step-by-step explanation:

Perimeter = (L+W) x 2

L = W + 6

60 yd = (W+W+6) x 2

30 yd = 2W + 6

24 yd = 2W

W = 12

L = 12 + 6 = 18

The point that lies on the bisector of angle PQR in the diagram given is: point Y.

An angle bisector is a segment that cuts an angle into two equal parts.

From the image given, point Y lies directly opposite to vertex Q. Point Y divides angle PQR into equal parts.

Therefore, the bisector of angle PQR is: point Y.

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Answer:

True

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces

it should be true. Let me know if I'm incorrect.

Answer: do what?

Step-by-step explanation:

Answer:

5 cubic centimeters

Step-by-step explanation:

250 divided by 2 = 125

To get to 125 you can do 5 x 5 x 5.

Since it is a cube you have to do Length x Width x Height which is why you do _ x _ x _.

By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.

Since AB and BC are tangent to the circle, then the triangles OAB and OBC are right angled. We can determine the measure of the angle AOC by using the following inverse trigonometric reason and Pythagorean theorem:

[tex]\theta = 2\cdot \tan^{-1}\left(\frac{\sqrt{10^{2}-4^{2}}}{4} \right)[/tex]

θ ≈ 132.844°

And the measure of the arc ADC is found by the formula for the length of a circle arc:

s = θ · r     (1)

Where:

s = (2π - 132.844π/180) · (4 cm)

s ≈ 15.858 cm

By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.  

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[tex]\large\boxed{\bold{d= r ×2}}[/tex]

In this question all the required values are given so we'll simply have to solve.

Let's substitute the values according to the formula.

[tex]\bold{d= 8×2}[/tex]

[tex]\large\boxed{\bold{d= 16 \ ft}}[/tex]

Therefore, the diameter of the given circle is 16 ft.

Answer= Option D

Answer:

(x−10)(x-5)

Step-by-step explanation:

Answer: (x - 10) ( x -5)

Step-by-step explanation:

x2 - 15x + 50
x2 - 5x - 10x + 50
x (x-5) - 5( x - 10) => ( x -5 ) (x-10)

Answer:

c

Step-by-step explanation:

its c bro

Answer:

Step-by-step explanation:

Answer

Given

Area = 576 square feet

dimensions of x feet by x feet



Since both the length and width are the same dimensions, x feet, use the area to calculate the length of the dimension.

×·×=576

[tex]x^{2} = 576\\[/tex]

[tex]\sqrt{x^{2}[/tex] = [tex]\sqrt{576[/tex]

×= 24

Now we have the length of the dimension of the fence, normally, we will be using the four sides to build the fence, but since we will be using the wall of the house as one of the sides, then we will only multiply by 3

               3x24=72

Therefore, the fencing needed is 72 feet.

Answer:

Step-by-step explanation:

Remark

The moment you put Tan(45) in the choices, non of the other choices can compete.

Tan(45) = 1

Sin(a) or cos(a) are all less then one except when a = 0 or 90. Even then they can only have a value of 1. Since none of the angles = 0 or 90 then the  largest value is Tan(45) = 1.

Answer:

Yes.

Step-by-step explanation:

Yes it is correct.

When any bracket is opened by "-" sign then the sign inside the bracket changes.

Here,

→7-(-12)

→7+12

→19

In the above question the bracket is opened by "-' and the sign of 12 is also negative. So, -×- changes into +.

Answer:

54 square units

Step-by-step explanation:

For the function to be a linear, D. a = 20 because the rate of change is –3.

The rate of change = change in y / change in x.

Therefore, for the function to be linear, the rate of change must be the same across the table of values.

Using, (4, 26) and (5, 23):

Rate of change = (26 - 23)/(4 - 5)

Rate of change = (3)/(1) = -3

Using (5, 23) and (6, a), we have:

(23 - a)/(5 - 6) = -3

(23 - a)/(-1) = -3

23 - a = (-3)(-1)

23 - a = 3

-a = 3 - 23

-a = -20

a = 20

Therefore, the answer is: D. a = 20 because the rate of change is –3.

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Answer: the answer is 21 units

Step-by-step explanation:

I took the test

Answer: the correct answer is 21 units

Step-by-step explanation: hope this helps :)

Answer:

the answer is B. 1,722.22

The schools is loacted at (1, -8) and the park is loacted at (-6,-8)

Answer:

288

Step-by-step explanation:

quick calculator use

15% of 250 is 37.5

add that to 250 to get 287.5

can't sell half a shirt so the answer is 288

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(2)}~~~~ ,~~~~ 12-\cfrac{ (8)^2}{4(2)}\right)\implies \left( -\cfrac{8}{4}~~,~~12-\cfrac{64}{8} \right) \\\\\\ (-2~~,~~12-8)\implies (-2~~,~~4)[/tex]

Answer:

A

Step-by-step explanation:

if it's not I'm sorry but that is the most logical answer:)

Point d 7,3 point c 6,7 point b 1,5 point a 0,2 I took this quiz got 100Answer:

Step-by-step explanation:

D) (7, 3)

Step-by-step explanation on coordinates:

The coordinates indicate the position of a point in the 2D coordinate plane relative to the origin. The x-coordinate of a point is its perpendicular distance from the y-axis measured along the x-axis. The y-coordinate of a point is its perpendicular distance from the x-axis measured along the y-axis.

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Coordinates are written as (x, y) meaning the point on the x axis is written first, followed by the point on the y axis.

Therefore, the veracious answer (7, 3).

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Answer: 35 7/8 miles

Step-by-step explanation:

5*7 + 1/8*7 = 35 7/8 miles

Answer:

I) X+Y

when X=0

0+y=5

Y=5

When Y=0

X+0=5

X=5

(X,y)=(5,5)

(ii) X-Y=3

When X=0

0-Y=3

Y=-3

When Y=0

X-0=3

X=3

(X,Y)=(3,3(

(III) 2x+Y=7

when X=0

0+Y=7

Y=7

when Y=0

2x+0=7

2x=7

X=7/2 or 3.5

(X,Y)=(3.5,7)

(Iv)

3X-2Y=0

when X=0

0-2Y=0

-2Y=0

Y=0

When Y=0

3x-0=0

3X=0

X=0

(X,Y)=(0,0)

Answer:

Joesph needs to be 331 feet of flooring to cover all sides except the floor.

Step-by-step explanation:

To answer this question, you need to find the areas of the sides and the roof.

Side (left and right): 12 feet long multipled by 6.5 feet high. 12*6.5=78 ft^2. Multiply this by 2 to get the combined areas of both the left and right side. 156 ft ^2

Side (back and front): 7 feet wide by 6.5 feet high. 7*6.5=45.5 ft^2. Multiply this by two to get the combined areas of the back and the front sides. 91 ft^2

Roof: 7 feet wide multiplied by 12 feet long. 7*12=84 ft^2

84+91+156=331 ft^2

Answer:

331 ft²

Step-by-step explanation:

Area of a rectangle = width × height

Given:

Surface area (minus the floor):

= 2(7 × 6.5)  + 2(12 × 6.5) + (7 × 12)

= 91 + 156 + 84

= 331 ft²