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Kisachek [45]
3 years ago
8

Una cisterna con forma de prisma rectangular mide 1.5 m de ancho, 2 m de largo y 1 m de alto. Si está vacía y se vierten en su i

nterior 150 L de agua por minuto, ¿cuánto tiempo tardará en llenarse?
Mathematics
1 answer:
olasank [31]3 years ago
8 0

Step-by-step explanation:

V = 1.5 × 2 × 1 = 3 m³ = 3000 L

tiempo = 3000 ÷ 150 = 20 minutos

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Given the function k(t)=2t−1: a. Evaluate k(2). b. Solve(k)=7.
Aleksandr-060686 [28]

Answer:

k(2) = 3

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Step-by-step explanation:

Given

k(t) = 2t - 1

Solving (1): k(2)

Take t as 2 such that t = 2

This gives

k(2) = 2 * 2 - 1

k(2) = 4 - 1

k(2) = 3

Solving (2): k(t) = 7

Substitute 7 for k(t)

7 = 2t - 1

Add 1 to both sides

7 + 1 = 2t - 1 + 1

2t = 8

Divide both sides by 2

t = \frac{8}{2}

t = 4

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4 years ago
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I got disconnected from my tutor, can't reconnect. need an explanation ​
kherson [118]

The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x

For the equation

-3 + 4 |2<em>x</em> - 5| = 14

rearrange terms to get

|2<em>x</em> - 5| = 17/4

Now,

• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then

2<em>x</em> - 5 = 17/4

• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that

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In the first case,

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<em>x</em> = 37/8

In the second case,

2<em>x</em> - 5 = -17/4

2<em>x</em> = -17/4 + 5 = 3/4

<em>x</em> = 3/8

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