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ozzi
3 years ago
6

If f(x) = x + 1 and g(x) = 2x – 7, which expression is equivalent to [f o g](3)?

Mathematics
1 answer:
hoa [83]3 years ago
4 0

Step-by-step explanation:

(f ∘ g)(x)

= f(g(x))

= f(2x - 7)

= (2x - 7) + 1

= 2x - 6

So

(f ∘ g)(5)

= 2(5) - 6

= 10 - 6

= <u>4</u>

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Mrs. McDonnell is making 25 paper cones to fill with popcorn for her daughter's birthday party. 4 inches 7 inches Find the volum
madreJ [45]
The volume of one cone would be 29 in³.

The formula for the volume of a cone is V=(1/3)πr²h.  Substituting our information we have:

V=(1/3)(3.14)(4/2)²(7)

We divide the diameter by 2 because the radius is half of the diameter.  This gives us:
V=1/3(3.14)(28) = 29.306 ≈ 29in³
3 0
4 years ago
Cant figure this out
Snezhnost [94]

Answer: y^2 / p^3

Step-by-step explanation:

3 0
3 years ago
A una distancia de 2 metros de la base de una torre, vemos su bandera en un Distancia de 5,39 metros en línea recta. ¿Cuál es la
Sidana [21]

Answer:

La altura de la torre es de 4,0052 m.

Step-by-step explanation:

En la figura vemos que la persona está parada en C y la bandera en A.

Se dan la base y la hipotenusa, tenemos que encontrar la altitud / altura / perpendicular del triángulo.

Según el teorema de Pitágoras

hipotenusa² = base² + perpendicular²

o

perpendicular² = hipotenusa²- base²

perpendicular² = 5.39²- 2²

perpendicular² = 29.0521-4

perpendicular² = 25.0521

perpendicular = √25.0521

perpendicular = 5.0052m

Ahora, en el punto A, la altura de la bandera se incluye en la altura de la torre.

La longitud de la bandera se deduce para obtener la altura real de la torre.

perpendicular = longitud de la bandera + altura de la torre

altura de la torre = perpendicular - longitud de la bandera

            = 5.0052-1 = 4.0052m

La altura de la torre es de 4,0052 m.

From the figure we see that the person is standing at C and the flag is at A.

The base and the hypotenuse are given we have to find the altitude / height/ perpendicular of the triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

or

perpendicular²= hypotenuse²- base²

perpendicular²= 5.39²- 2²

perpendicular²= 29.0521-4

perpendicular²= 25.0521

perpendicular= √25.0521

perpendicular= 5.0052m

Now at the point A the height of the flag is included in the height of the tower.

The length of the flag is deducted to get the actual height of the tower.

perpendicular= flag length  + tower height

tower height = perpendicular - flag length

            =5.0052- 1= 4.0052m

The tower height is 4.0052m

7 0
3 years ago
Evaluate expressions 8+7×5=
ryzh [129]
8 + 7x5 = 8 + 35 = 43;
7 0
4 years ago
Read 2 more answers
Please help me I need help
frez [133]

Answer:

10

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude²= hypotenuse²

8² + altitude² = (2√41)²

64 + altitude² = 2²*(√41)²              {(√41)² = √41*√41 = 41}

64 +altitude² = 4 * 41

64 +altitude² = 164

      altitude² = 164 - 64

      altitude² = 100

      altitude = √100 = 10

3 0
3 years ago
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