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3 years ago

7

Determine which relation is a function.

1 answer:

leonid [27]3 years ago

6 0

The A is a function, because all the values of the independent variable (the first value of the ordered pairs) are related to only one value, i.e. have only one image.

In B - 2 has two different images: 3 and 1. That makes that this is not a function.

In C, 3 has two different images: 5 and 2. That makes that this is not a function.

In D, - 1 has two different images: 1 and 5. That makes that this is not a function.

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A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?

Vladimir [108]

Answer:

The speed of the bus is 74.242 kilometers per hour.

Step-by-step explanation:

Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus ( $v$ ), in kiometers per hour, is determined by following kinematic expression:

$v = \frac{s}{t}$ (1)

Where:

$s$ - Travelled distance, in kilometers.

$t$ - Time, in hours.

If we know that $s = 2.45\,km$ and $t = 0.033\,h$ , then the speed of the bus is:

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$v = 74.242\,\frac{km}{h}$

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Answer:

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Step-by-step explanation:

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Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required

xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

$A = Pe^{rt}$

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

A = 2 × $3000

A = $6000

$6000 = 3000e^{0.085t}$

$\frac{6000}{3000} = e^{0.085t}$

$2 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}2 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln2 = 0.085t$

$t = \frac{ln2}{0.085}$

$t = \frac{0.693}{0.085}$

t = 8.15

(b) For the amount to double, A = 3 × P

A = 3 × $3000

A = $9000

$9000 = 3000e^{0.085t}$

$\frac{9000}{3000} = e^{0.085t}$

$3 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}3 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln3 = 0.085t$

$t = \frac{ln3}{0.085}$

$t = \frac{1.0986}{0.085}$

t = 12.92

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yarga [219]

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