Find the missing side length.

A figure has vertices at A(—3, 2), B(—l, —l), and C(—4, —2). After a transformation,the image of the figure has vertices at A'(3

Leokris [45]

Answer:

rotate 180° about origin

8 0

2 years ago

In a parenting magazine, Mrs. Smith read an advertisement about all the different ways that bleach can be used to kill bacteria.

babymother [125]

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

(c) How long for 1000 bacteria to be found

Answer:

(a) 282429536481 bacteria

(b) $7.97*10^{22$ bacteria

(c) 6 days

Step-by-step explanation:

The question illustrates an exponential function

$y = ab^x$

Where

$a = Initial\ Value = 1$

$b=Rate = 3$ --- i.e. triples

$x = number\ of\ hours$

Solving (a): Bacteria in 24 hours

In this case:

$x = 24$

Substitute $x = 24$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{24$

$y = 1 * 282429536481$

$y = 282429536481$ bacteria

Solving (b): Bacteria in 2 days

$2\ days =48\ hours$

So:

$x = 48$

Substitute $x = 48$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{48$

$y =7.97*10^{22$ bacteria

Solving (c): How long for 1000 bacteria

In this case:

$y = 1000$

Substitute $y = 1000$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$1000 = 1 *3^x$

$1000 = 3^x$

Take Log of both sides

$Log1000 = Log3^x$

This gives:

$Log1000 = xLog3$

Make x the subject

$x = \frac{Log1000}{Log3}$

$x \approx 6$

Hence: It takes 6 days

8 0

3 years ago

| What is the domain for m(x) = -2 log(x) + 2?

Leya [2.2K]

The domain should be (0,infinity sign)

7 0

3 years ago

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15. Write 7x1 + 3 x (1/10) + 4 x (1/100) in standard form.

MA_775_DIABLO [31]

Answer:

7.34

Step-by-step explanation:

8 0

3 years ago

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The manager of a music store ordered 20 new violins. She ordered some of two different models: the standard and the deluxe. Each

Iteru [2.4K]

The Manager ordered 5 Deluxe Violins and 15 Standard Violins.

15 • 500 = 7,500
7,500 + 4,000 = 11,500
5 • 800 = 4,000

3 0

3 years ago

Read 2 more answers