What is a black hole?
A. A massive cluster of stars and other matter.
B. A star that has collapsed under its own gravity.
C. The opposite of a star, it is a hole in space that sucks in light and matter.
D. A dense cloud of dark energy; scientists still have not found a real one.

Answer:

[tex]\large{\boxed{\sf g(x) = \dfrac{1}{2} |x - 4| +7}}[/tex]

Explanation:

Absolute value of a graph formula:

Identify the vertex : (h, k) = (4, 7)

Take two points: (4, 7), (6, 8)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{8-7}{6-4} \ = \dfrac{1}{2}[/tex]

Putting them together :  [tex]\bf g(x) = \dfrac{1}{2} |x - 4| +7[/tex]

Answer:

[tex]g(x)=\dfrac{1}{2}|x-4|+7[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

-----------------------------------------------------------------------------------------

Parent function:  [tex]f(x)=|x|[/tex]

(with vertex at the origin)

From inspection of the graph, the vertex of the transformed function is at (4, 7).  Therefore, there has been a translation of:

[tex]\implies f(x-4)+7=|x-4|+7[/tex]

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies a\:f(x-4)+7=a|x-4|+7[/tex]

The line goes through point (0, 9)

Substituting this point into the above equation to find [tex]a[/tex]:

[tex]\implies a|0-4|+7=9[/tex]

[tex]\implies 4a=2[/tex]

[tex]\implies a= \dfrac{1}{2}[/tex]

Therefore,

[tex]\implies g(x)=\dfrac{1}{2}|x-4|+7[/tex]

Answer:

The value of x is 64.

Step-by-step explanation:

The base angles of an isoceles triangle are congruent.

[tex]x + 58 + 58 = 180[/tex]

[tex]x + 116 = 180[/tex]

[tex]x = 64[/tex]

"3 va después de 5 y entre 7 y 12" = "3 goes after 5, and between 7 and 12"

This eliminates A and D (3 is not between 7 and 12 in either choice).

"5 va antes de 12 y entre 7 y 3" = "5 goes after 12, and between 7 and 3"

This eliminates C (5 is not between 7 and 3).

So the correct sequence is B.

Answer:

3

Step-by-step explanation:

Prime factorization

36 = 3 * 3 *2 * 2

15 = 3 * 5                 The biggest difference is   5 -2 = 3

[tex]\large{\sf \boxed{ \sf 9.09 \ \%}}[/tex]

Explanation:

Let the price be p,

When the price is increased by 10%,

Increased price = (100% + 10%) × p = 1.1p

So reduction percentage:

[tex]\rightarrow \sf \dfrac{1.1p - p}{1.1p} \ x \ 100[/tex]

[tex]\rightarrow \sf \dfrac{0.1p}{1.1p} \ x \ 100[/tex]

[tex]\rightarrow \sf 9.090909091 \% \quad \approx \quad 9.09 \% \quad (rounded \ to \ nearest \ hundredth)[/tex]

Answer:

Step-by-step explanation:

Given

Find A - B by substitution

Answer: (-1,-4)

Step-by-step explanation:

move one unit left, and 4 units down. The vertex is the lowest or highest point on the graph (in this case the lowest)

Answer:

but good luck with that man

Answer:

None of the choices are correct

Stefofp-by-step explanation:

Simplify the following:

(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)

Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):

(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)

Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):

x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)

3 - 1 = 2:

x^2 y^(2 - 1) (-2 y^2 + 3 x^5)

2 - 1 = 1:

Answer:  x^2 y (-2 y^2 + 3 x^5)

The volume of the tank of water is 653.12 cubic meters.

For a cylinder of height H and diameter D, the total volume is given by:

[tex]V = 3.14*(D/2)^2*H[/tex]

In this case, we know that:

D = 8m

H = 13m

Replacing that in the above equation:

[tex]V = 3.14*(8m/2)^2*13m = 653.12 m^3[/tex]

So the volume of the tank of water is 653.12 cubic meters.

If you want to learn more about volumes:

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Answer:

b

Step-by-step explanation:

................................

Answer:

50 million

Step-by-step explanation:

since they're moving at a constant rate, all you need to do is multiply 5 by 10 million

Answer:

The solution would be x=1n(7/4)

Step-by-step explanation:

The decimal form would be 0.55961578

Answer:

= In (7/4)

Step-by-step explanation:

3+4+1=11

4+4=11

4+4=11

4+4=11

4+4=11

4+4−4=11−4

4=7

44=7

Answer:

3/5 and 3/4 im pretty sure

Step-by-step explanation:

you have to find the multiple that would make it equal the answer

Answer:

The point 9,50

Step-by-step explanation:

All the other ones are within a reasonable distance of each other.

Answer: The correct answer would be 9,50 or Option A (Point P)

Step-by-step explanation:

The number of seconds taken by the fourth team to complete his part of the race is 45.116 seconds.

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Four athletes from the Republic of Korea competed in a team wheelchair race at the Paralympic Games.

The team finished the race in a total of 190.729 seconds.

First team member: 46.685 seconds

Second team member: 48.869 seconds

Third team member: 49.33 seconds

Then the number of the seconds is taken by the fourth team will be

Let x be the number of the second taken by the fourth team.

Then we have

x + 46.685 + 48.869 + 49.33 = 190.729

                            x + 144.884 = 190.729

                                             x = 45.116

More about the subtraction link is given below.

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Answer:

x= 45.845

Step-by-step explanation:

190.729-144.884

Answer:

49:25

Step-by-step explanation:

When you have a side length ratio given, the area ratio will be the side length ratio squared.

This can be thought of quite easily, say you have 1 square with a side length of 7 and another square with a sidelength 5.

Of course the squares have a side length ratio of 7:5

The area of the first square is 7*7 = 49

The area of the second square is 5*5 = 25

Then clearly the ratio of the areas is 49:25

Answer:

A = 16

Step-by-step explanation:

Formula b*h/2

b =8

h =4

so

A= 8*4/2

A = 16

Answer:

$240

Step-by-step explanation:

[tex]1600 \times .05 \times 3 = 240[/tex]

multiply 30% by 210

210 x 0.30 = 63

answer: 63

Step-by-step explanation:

firstly we take the constant out of the integral making it

4 × the integral of x^5/2

the integral of x^5/2 is equal to 2/7(x^7/2)

final answer: (8/7) × (x^7/2)

make sure to comment if you have any doubt.

Answer: It is Equation 1 and Equation 3

Step-by-step explanation:

Answer:

The answer is 0

Step-by-step explanation:

5x3 is 15

Therefore it is concluded as:

15÷10x2-3 is 0

Answer:

Step-by-step explanation:

cos^-1(√(111))/2√(37) = 30°

m<C = 30°

Answer:

                                                  Elimination:

-4x - 2y = -18                            -4x - 2y   = -18

x + 3y   = 8        | ×4   ------>      4x + 12y = 32  +

                                                          10y = 14

                                                              y = 1,4

x + 3y = 8

x + 3(1,4) = 8

x + 4,2 = 8

x = 3,8

it would be negative because negetive overcomes positive.

Answer:

The outcome is a negative because when doing multiplication of negative times positive your answer will always be a negative. For an example, -4*9= -36 so it would be negative.

Answer:

x=16

Step-by-step explanation:

The opposite angles will always be supplementary

<K + < M = 180

47+ 7x+21 = 180

Combine like terms

7x+68 = 180

Subtract 68

7x = 180-68

7x = 112

Divide by 7

7x/7 = 116/7

x =16

Answer:

$11,580.31

Step-by-step explanation:

turn 41% into a decimal:

0.41

$28,244.66 * 0.41

11,580.31

mark brainliest pls

Answer:

18.2m^2

Step-by-step explanation:

2 x 1 ÷ 2 = 1 both sides are set to 1

base 3 x 1 = 3

2.2 x 3 = 6.6

add up all sides 6.6 + 6.6 + 3 + 1 + 1