f(x)=x2+3 & g(x)=2x−7
1) (f−g)(x)=
2) (f⋅g)(x)=
3) (f°g)(5)=
4) (g°f)(x)=

Answer:

x = 24

Step-by-step explanation:

The angles of a triangle added together equal 180⁰. Set up a simple equation to solve for x.

90⁰ + 42⁰ + (2x)⁰ = 180⁰

90 + 42 = 132

2x = 180 - 132

2x = 48

x = 24

Answer:

x = 24

Step-by-step explanation:

2x + 42 + 90 = 180

2x + 132 = 180

2x = 48

48/2 = x

x = 24

Have a nice day!

Answer:

-57/8

Step-by-step explanation:

- 2 3/4 - (-1 1/2) + (-5/6) - (3/8) - (+4 2/3)

= -7.125

The two characteristics of a star to become a black hole are:

The correct options are C and D.

When a star has consumed all its fuel (like hydrogen), that is to say, when it is at the end of its life, it can become a black hole. For this to happen, the mass of the star must be greater than 20 times the mass of the Sun. If a star is at the end of its life cycle but has a mass that is less than 20 times the Sun's mass, it will not become a black hole.    

The given options:

A. Its mass is equal to that of the sun. False

Its mass must be greater than 20 times the mass of the Sun.

B. It has an abundant supply of hydrogen. False

When it has an abundant supply of hydrogen, the star is at the beginning or the middle of its life cycle, and to become into a black hole it must be at the end of it.  

C. Its mass is greater than 20 times the mass of the Sun. True

Yes, its mass must be greater than 20 times the mass of the Sun.        

D. It is dying. True

The star must have no more fuel to continue its life cycle.  

Therefore, options C and D are correct.

You can find more black holes here: https://brainly.com/question/10597324?referrer=searchResults

I hope it helps you!  

Answer:

C and D

Step-by-step explanation:

I just took the test lol, I hope you got 100%, also does like everyone on this website go to connexus or what lol

Answer:

El perímetro de un terreno rectangular mide 48 m . Calcula sus dimensiones si el largo es el doble que el ancho.

Respuesta:

De largo mide 16m

De ancho mide 8m

Explicación paso a paso:

Perímetro = número de lados multiplicado por longitud del lado.

Formula: P = 2(a + b)  o    P = 2b + 2h

Donde: P = Rectángulo del perímetro

           a y b = Longitudes de lados

Asignamos las variables:

Largo = 2x

Ancho = x

Utilizamos la formula:

2(x) + 2(2x) = 48

2x + 4x = 48

6x = 48

x = 48/6

x = 8m  (ancho)

2x

2(8)

16m (largo)

Step-by-step explanation:

Answer:

$1,591.67

Step-by-step explanation:

The computation of the balance after 5 years is shown below:

Given that

Accumulated Balance on Credit Card = P = $2,300

r = Monthly interest amount = 17% ÷ 12 = 1.41666667%

M = Minimum payment = 2%

Now  

Balance on Credit Card after t year = P × (1+r) ×(1-M)

= $2,300 × (1+1.41666667%)^t × (1 - 2%)^t

= $2,300 × (0.993883337)^t

SO,

Balance on Credit Card after 5 years is

= $2,300 × (0.993883337)^60

= $2,300 × 0.692029437

= $1,591.66771

= $1,591.67

Answer:

80mm

Step-by-step explanation:

According to Pythagorean theorem :

a² + b² = c²

=> a² + (60)² = (100)²

=> a² + 3600 = 10000

=> a² = 10000 - 3600

=> a² = 6400

=> a = √(6400)

=> a = 80

Hey Buddy,

Answer:

343 cm³

Step-by-step explanation:

Total Surface Area of the cube = 294 cm²

Surface Area = 6a²

6a² = 294

a² = 49

a = square root of 49

  = 7

Volume of a cube =  a³

Thus, the volume of the cube = 7³

                                                 = 7*7*7

                                                 = 343 cubic centimeters

Hope it helps :)

Answer:

Its not like that its just that if you post a question no one knows the answer nobody will answer you and unfortunately the question you posted I don't know how to help else I would have.

Sorry

Answer:

y=4/5x-3 - (-5, -7)

Step-by-step explanation:

So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.

So we have (-10, 5)

Well plug in -10 for 4/5x we get:

-40/5=-8

Next we take that value and solve:

y=-8-3

y=-11

The answer for this was 5, not -11.

Ill skip a few steps:

(10, -11):

Plug in 10 we get:

y=8-3 which is y=5. This is not right, for it needed to be -11.

Next we have (5, -1)

This gets us y=4-3 this is y=1 which is not -1. So thats not right.

Finally we have (-5, -7):

This gets us y=-4-3 this is y=-7. What was our y value? -7!

So the answer is (-5, -7)

I hope this helps! :)

Step-by-step explanation:

3^0=1

3^2=9

[tex] \frac{1}{9} [/tex]

plz mark as brainliest

Answer:

1/9

Step-by-step explanation:

When dividing terms with exponents, you subtract the exponents.

3⁰/3² = 3⁰⁻² = 3⁻² = 1/9

Therefore, the simplified expression is 1/9.

Answer:

24x

Step-by-step explanation:

Answer:

The height of Mrs. Marigold's roof is 10 feet.

Step-by-step explanation:

Given that,

Base of the given triangle = 48 ft

Hypotenuse = 26 ft

Half of the base = 24 ft

Using Pythagoras theorem,

[tex]h=\sqrt{26^2-24^2}\\\\h=10\ ft[/tex]

So, the height of Mrs. Marigold's roof is 10 feet.

Answer:

C. 1

Step-by-step explanation:

I got this right on my test

Answer:

B. 73°

Step-by-step explanation:

Answer:

a?

Step-by-step explanation:

Answer:

a = 1, b = -2

Step-by-step explanation:

You are given values of x are 1 and 2 when the equation is 0

To solve the problem substitute the values of x into the equation

For x =1

1^2 + a(1) + b = 0

1 + a + b = 0

a+b = -1(call this equation i)

For x = -2

-2^2 + a(-2) + b = 0

4 - 2a + b = 0

-2a + b = -4 (call this equation ii)

Now solve equation i and ii simultaneously to get values of a and b.

a+b = -1

-2a+b = -4

By elimination method (also you can solve by substitution method) subtract equation ii from equation i, we get

3a = 3

Divide 3 both sides, you get

a = 1

Take the value of a above substitute it into either equation i or ii to get the value of b

Here i considered equation i

a + b = -1

1 + b = - 1

b = - 1 - 1

b = -2

Therefore a = 1, b = -2

Answer:

If we substitute pi as 3.14 we would be doing -

56.52/3.14 = 18

18/2 = 9.

So the circle's radius would be 9.

BUT if you want it with PI. . .

The answer would be 8.995437385

Answer:

20 feet per second

Step-by-step explanation:

130/6.5 = 20

Given:

[tex]m\angle B=90^\circ, m\angle D=90^\circ, AB=x, BD=9, BC=1, DE=5[/tex].

To find:

The value of x.

Solution:

In triangles ABC and ADE,

[tex]\angle B\cong \angle D[/tex]              (Right angles)

[tex]\angle A\cong \angle A[/tex]              (Common angles)

[tex]\Delta ABC\sim \Delta ADE[/tex]              (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional. So,

[tex]\dfrac{AB}{AD}=\dfrac{BC}{DE}[/tex]

[tex]\dfrac{x}{x+9}=\dfrac{1}{5}[/tex]

On cross multiplication, we get

[tex]5x=x+9[/tex]

[tex]5x-x=9[/tex]

[tex]4x=9[/tex]

[tex]x=\dfrac{9}{4}[/tex]

[tex]x=2.25[/tex]

Therefore, the value of x is 2.25 units.

Answer:

$37,392

Step-by-step explanation:

A = r^2 times Pi. 63 diameter = 31.5. Pi = 3.14 A = 31.5^2(992.25) = 3,115.665.

If fence cost $12 per meter, 3,115.665 is rounded to 3,116. 3,116 times 12 = $37,392

Answer:

$3

Step-by-step explanation:

28-10=18

18/6=3

Answer:

Use Pythagorean to confirm:

Answer:

0.52

Step-by-step explanation:

From the above question:

48% of students in a school are girls.

Let the total percentage of students = 100%

The percentage representing boys = 100% - 48% = 52%

Hence, the probability that a boy is picked​ = P(boy) = Percentage of boys/ Total percentage

P(boy) = 52%/100%

= 0.52/1

= 0.52

Therefore, the probability that a boy is picked is 0.52

Answer:

Yes (you are 75 mi from epicenter). Travel at least 7.91 mi south

Step-by-step explanation:

See the attached image.

The epicenter is the point at the upper right of the drawing.  You are 60 miles west (left) and 45 miles south (down) from the epicenter.  A right triangle is formed--apply the Pythagorean Theorem, (leg)^2 + (leg)^2 = (hypotenuse)^2.

[tex]x^2=60^2+45^2\\\\x^2=3600+2025\\\\x^2=5625\\\\x=\sqrt{5625}=75[/tex] This is within 80 mi, so you feel the quake.

Now (see image2) you go  y  miles south.  You want the distance between you and the epicenter to be at least 80 mi.  You have another right triangle with legs 60 and y + 45 and hypotenuse 80.

[tex](y+45)^2+60^2=80^2\\\\(y+45)^2+3600=6400\\\\(y+45)^2=2800\\\\y+45=\sqrt{2800}\\\\y=\sqrt{2800}-45 \approx 7.91 \rm mi[/tex]

Answer:

750

Step-by-step explanation:

30/40 students dislike it from the sample, so 0.75

1000 x 0.75 = 750

Answer:SOLUTION

The midpoint for two points P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2).

We have that px=1, py=3, qx=5, qy=1.

Thus, M=(1+52,3+12)=(3,2).

ANSWER

M=(3,2)A

Step-by-step explanation:

Answer:

The midpoint is (3, 2)

Step-by-step explanation:

To find the x-coordinate of the midpoint, average the x-coordinates 1 and 5:

          1 + 5

xm = ----------- = 3

              2

y-coordinate:

          1 + 3

ym = ----------- = 2

              2

The midpoint is (3, 2)