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pychu [463]
3 years ago
15

Solve for the red variable

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

1/3 Bh = V

Step-by-step explanation:

B = 3 V / h

Multiply each side by h

Bh = 3 V / h *h

Bh = 3V

Divide each side by 3

1/3 Bh = 3V/3

1/3 Bh = V

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Write an equation of the line that is perpendicular to y=1/2x-3 and goes through the point (1,3)
Alex_Xolod [135]

Answer:

y = -2x + 5

Step-by-step explanation:

y=\frac{1}{2}x-3

Slope of this line m₁ = 1/2

Slope of the line perpendicular to this line = m₂

m₁ *m₂ = -1

m₂ = -1 *2/1 = -2

Slope  = -2; (1,3)

y- y₁ = m(x-x₁)

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x +2 +3

y = -2x + 5

5 0
3 years ago
UNA POBLACION DE CIERTA CIUDAD EN EL AÑO 2000 ERA DE 250,000 HABITANTES CON UNA TASA DE CRECIMIENTO RELATIVO DEL 2% , DETERMINA
Fofino [41]

Answer:

La población que se espera para el 2012, es 317,060

Step-by-step explanation:

Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.

Definamos P(t) = población después de t años

Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A

P(0) = A

Un año después, en t = 1, la población incrementa en un 2%

P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)

Otro año después, en t = 2, la población incrementa un 2% de vuelta.

P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)

      = A*(1.02)*(1.02) = A*(1.02)^2

Ya podemos notar un patrón, la población en el año t va a ser:

P(t) = A*(1.02)^t

Sabemos que en t = 0 (el año 2000) la población es 250,000

Entonces A = 250,000

P(t) = 250,000*(1.02)^t

Ahora queremos calcular la población en el año 2012

entonces si t = 0 es el 2000

2012 esta representado con t = 12

Reemplazando eso en la ecuación, obtenemos:

P(12) = 250,000*(1.02)^12 = 317,060.4

Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.

Entonces la población que se espera para el 2012 es: 317,060

5 0
2 years ago
Christopher has $1947 in his savings account. This weekend he will deposit another $99 in the account. How much money will be in
tekilochka [14]

Answer:

$2046

Step-by-step explanation:

Add 1947 and 99 because he is depositing, as in adding, 99 dollars

5 0
3 years ago
1. Given f (x) = -2x + 1, find f(-1)
AleksandrR [38]

Answer:

3

Step-by-step explanation:

plug in (-1) for x

-2(-1) + 1

2 + 1

3

4 0
3 years ago
Read 2 more answers
8. The average age of 3 boys is 15 yrs. But if one is not considered,
Vitek1552 [10]

Answer:

Step-by-step explanation:

15 plus 15 plus 15 is 45 - 15 =30

8 0
3 years ago
Read 2 more answers
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