Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth. In scientific notation, how many miles away is it?

a)5.88 × 1012 miles
b)7.9968 × 1013 miles
c)5.88 × 1013 miles
d)1.36 × 1012 miles

Answer:

Step-by-step explanation:

As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.

__

The function can be factored as ...

  h = -16t(t -3)

At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.

  The zeros are (0, 0) and (3, 0).

This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).

  The ball is in the air for 3 seconds.

__

The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.

  The ball will reach its maximum height at t=1.5 seconds.

Using the above factored form to find the height, we get ...

  h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet

 The ball's maximum height is 36 feet.

_____

Additional comment

The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...

  x = -b/(2a)

Here, that would be ...

  t = -48/(2(-16)) = 3/2

__

A graphing calculator can answer all of these questions quite rapidly.

Answer:

Answer:

The horizontal distance she has covered is:

x = 483.0m

Step-by-step explanation:

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Answer:

A. 496 ft2

Step-by-step explanation:

area of a triangle is

1/2 times base times height

1/2 times 16 times 62 =

496

Answer:

I would reccomend the first option the path costs $6 per foot

Answer:

$13

Step-by-step explanation:

9x + 6.6y = 71.4

6.6(4) = 26.4

71.4 - 26.4 = 45

9 / 45 = 5

$2 = 4

$1 = 5

$2 * 4 = $8

$1 * 5 = $5

$8 + $5 = $13

Answer:

Step-by-step explanation:

Answer:

(the answer is in fraction form)

x= 2/3 , -5/2

Answer:

[tex]x=-\frac{5}{2} ,x=\frac{2}{3}[/tex]

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Answer:

y = 3x - 1

Step-by-step explanation:

The slope of a line passing through the two points

P = (x1. y1) and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= -6, y1= -19, x2= 2, y2= 5

m=3

Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).

b= -19-(3)(-6)

b= -1

y = 3x - 1

Answer:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

1 / 5 = 0.20

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 20

Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*

In this case, Rule I applies, so 1/5 (or 0.20) rounded to the nearest tenth in decimal format is:

Answer:

1.1

Step-by-step explanation:

If the digit after tenth is greater then or equal to 5, add 1 to the tenth.

Answer:

25

Step-by-step explanation:

Let the number be 10x+y.

So we have 2(10x+y)+2 = 10y+x, or

20x + 2y + 2 = 10y+x, or

19x=8y-2 …(1)

Try different values of x which satisfy (1) giving an integer value of y. Moreover x should be less than y. The only value of x is 2 which gives us y = 5.

So y = 5 and x = 2.

And the answer is 25.

We can prove this by simply doing the question's equation:

50(since it's the double of 25) + 2 =

50+2= 52

Hope this helps

Answer:

L and B be the dimensions of field.

L+2B =2400ft.

AreaA = L×B=L×(2400-L)/2=1200L-L^2

For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft

B=(2400-600)/2=900ft.

Total area = 540000ft^2.

Maybe?

Step-by-step explanation:

Quora

Answer:

24

Step-by-step explanation:

In triangle STU, line VT bisects angle STU.

-> By angle bisector theorem:

[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]

The value of b is 24

If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.

i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

Here, given that, SV = 2b, VU = b+24, ST = TU = 67

∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]

⇒ [tex]\frac{2b}{b+24}=1[/tex]

⇒ 2b = b+24

⇒ b = 24

Hence, b = 24

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Answer:

Missing Angle = 75 degrees

This answer may not be correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The Missing Angle:

All of the angles add up to 180 since it is a triangle, so the equation is:

90 (the box aka right angle) + 15 + (the missing angle) = 180

Then, add 90 + 15 = 105. After that, do:

180 - 105 = 75 degrees (don't forget the label!)

I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.

Answer:

Step-by-step explanation:

The missing angle is complementary with given since the triangle is right.

Use trigonometry to find x

Use Pythagorean to find y

Answer:

Assuming you mean (2^3)3, the answer is 24

Step-by-step explanation:

using pemdas you do 2 to the third power first

2x2=4 4x2=8

then you mutiply by the number not in parenthesis; 3

8x3 = 24

Answer:

This is my notes

Step-by-step explanation:

The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A, B, and C lie on the circumference of the circle.

And, X, A and Y lie on a tangent to the circle.

Now, We get;

⇒ ∠XAC + ∠CAB + ∠BAY = 180°

⇒ 63° + ∠CAB + 69° = 180°

⇒ ∠CAB = 180 - 132

⇒ ∠CAB = 48°

Hence, We get;

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

Thus, The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

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The circles in the figures form a series

The next step in the series is (B)

From the figure, we have the following highlights

Using the above pattern, the next circle must have 6 segments

Hence, the next step in the series is (B)

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Answer:

120 students did not buys a snack :)

Step-by-step explanation:

The easiest way to do this is divide :)

Now lets solve!!

180/6 = 30

Now we multiply!!

30 x 4 = 120

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

200000×2

=R400 000 and minus 50000

=300000

Answer:

Answer is -1/64

Step-by-step explanation:

Mark me the brilliant

Answer:

The diagram with three triangles is not a good representation.

The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

16.6

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]

Answer:

[tex]7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

Step-by-step explanation:

To find the minimum amount of fabric, one needs to find the area of the table, the equation for the area of a circle is [tex]A=\pi r^{2}[/tex]

The question gives the length from one edge of the table to the other, this can also be defined as the diameter, the diameter is equal to double the raidus so dividing the diameter in half gives the radius.  The radius of this table is calculated to be 1.5 ft.

Plugging in our radius to the area equation we get [tex]A=\pi 1.5^{2}= 7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

According to angle sum property of a quadrilateral, Sum of all angles of a quadrilateral measures 360°

So, let's solve for x ~

[tex]\qquad \tt \dashrightarrow \:68 + 126 + 106 + x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:300+ x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 360 - 300[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 60 \degree[/tex]

Answer:

75 inches cubed

Step-by-step explanation:

V=lwh

2 1/2 = 2.5

4 = 4

7 1/2 = 7.5

2.5 x 4 x 7.5=75

75 cubic inches

Answer:

is TURNS

Step-by-step explanation:

A figure but does not change its shape and size is Turns.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.

A flip is a geometric movement that involves turning an object over in a straight line to create a mirror image. The distance between each point on an object and its corresponding point on the picture is equal. A reflection is another name for a flip.

Thus, thus required transformation is Turns.

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Perpendicular we need(Let it be P

So

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan25=\dfrac{P}{50}[/tex]

[tex]\\ \rm\Rrightarrow P=50tan25[/tex]

[tex]\\ \rm\Rrightarrow P=23.31ft[/tex]