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3 years ago

Germany, Italy, and Japan formed the Tripartite Pact in part because they:

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

Answer:

hoped to convince the United States to stay out of World War II

Explanation:

just took the quiz :)

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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

Answer:

(a) 282429536481 bacteria

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

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

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

$x \approx 6$

<em>Hence: It takes 6 days</em>

8 0

3 years ago

Solve the inequality below for g.

tiny-mole [99]

Answer:

the answer to the inequality is C. g<1

8 0

3 years ago

The owner of two hotels is ordering towels. He bought 38 hand towels and 31 bath towels for his hotel in Arcadia, spending a tot

ololo11 [35]

Answer:

Cost of the hand towels is $2 and cost of the bath towels is $7 .

Step-by-step explanation:

Let us assume that the cost of hand towels be x .

Let us assume that the cost of bath towels be y .

As given

The owner of two hotels is ordering towels.

He bought 38 hand towels and 31 bath towels for his hotel in Arcadia, spending a total of $293.

Than the equation becomes

38x + 31y = 293

As given

He also ordered 45 hand towels and 71 bath towels for his hotel in Middletown, spending $587.

Than the equation becomes

45x + 71y =587

Multiply the equation 45x + 71y =587 by 31 .

45x × 31 + 71y × 31 = 587 × 31

1395x + 2201y = 18197

Multiply 38x + 31y = 293 by 71.

71 × 38x + 71 × 31y = 293 × 71

2698x + 2201y = 20803

Thus two equations are

1395x + 2201y = 18197

2698x + 2201y = 20803

Subtracting 1395x + 2201y = 18197 form 2698x + 2201y = 20803 .

2698x - 1395x + 2201y - 2201y = 20803 - 18197

1303x = 2606

$x = \frac{2606}{1303}$

x =$ 2

Putting this x = 2 in the equations

1395 × 2 + 2201y = 18197

2790 + 2201y = 18197

2201y = 15407

$y = \frac{15407}{2201}$

y = $7

Therefore the cost of the hand towels is $2 and cost of the bath towels is $7 .

7 0

3 years ago

Which expression is equivalent to 5 (4x+3)-2

dolphi86 [110]

Answer:

20x + 13

Step-by-step explanation:

5(4x + 3) - 2

5× 4x + 5×3 - 2

20x + 15 - 2

20x + 13

7 0

3 years ago

Read 2 more answers

The length of the border between the United States and Canada<br> centimeters

hram777 [196]

Answer:

The length of the border between the United States and Canada in centimeters is 889,162,560 cm

Step-by-step explanation:

The length of the border between the United States and Canada is 5,525 mi

convert into centimeters and you get 889,162,560 cm

8 0

3 years ago