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3 years ago

A pitcher could hold 1/8 of a gallon of water. If John filled up 9 Pitchers, how much water would he have.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

6 0

1 pitcher = 1/8 gallon
9pitcher * 1/8 gallon = 9/8 gallon, so 1 and 1/8 gallons

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Evaluate the sum or explain why it diverges: Sigma^infinity_k = 3(-3/2)^k

LenaWriter [7]

Answer:

Step-by-step explanation:

Remember that in the geometric serie if | r | < 1 the serie converges and if | r | ≥1 the serie diverges.

I suppose that the serie starts at 0, so using the geometric serie with r = | $\frac{-3}{2}$ | > 1 the serie diverges.

8 0

3 years ago

QUESTION 20

Elodia [21]

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) $f(x) =-2\cdot x ^{2}-6$ Dado

2) $g(x) = x+4$ Dado

3) $(f-g)(x) = (-2\cdot x^{2}-6)-(x+4)$ Definición de resta de funciones.

4) $(f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)$ $(-1)\cdot a = -a$

5) $(f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)$ Propiedad distributiva/ $(-1)\cdot a = -a$

6) $(f-g)(x) = -2\cdot x^{2}-x+(-6-4)$ Propiedad conmutativa

7) $(f-g) (x) = -2\cdot x^{2}-x-10$ Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en $x = -5$ :

$(f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10$

$(f-g)(-5) =-55$

Por ende, la respuesta correcta es B.

8 0

3 years ago

on the left side of the triangle, it says 10 cm, on the right side of the triangle, it says 18 cm, below the triangle, it says 1

stira [4]

Area formula for a triangle is 1/2BxH

B=15
H=10

1/2(15)= 7.5

7.5 x 10= 75

So the area is 75 square cm :)

8 0

3 years ago

2. Janine walks on a circular track whose radius is 60 meters. If she walks a total of 100 meters, which of the

katrin2010 [14]

Answer:

0.53πrad

Explanations:

Given the radius of the circular track = 60metres

If she walks a total of 100 meters, the length of the arc of the circle = 100metres

To calculate the radian angle she rotates about the center of the track, we will use the formula for calculating the length of an arc

L = θ/360° × 2πr

100 = θ/360× 2π(60)

36000 = 120π × θ

36000 = 376.8θ

θ = 36000/376.8

θ = 95.5°

Since 180° = πrad

95.5° = x

x = 95.5π/180

x = 0.53π rad

6 0

3 years ago

Which of the following expressions is equal to 1?

Vikki [24]

I think it's d okay maybe

8 0

3 years ago