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3 years ago

What is half of 126 and please explain

Mathematics

2 answers:

kenny6666 [7]3 years ago

6 0

Half of 126 is 63 because 63+63=126 and 126/2=63

mrs_skeptik [129]3 years ago

3 0

Half of 126 is 63 repeating. If you say 126 divided by 2 you get 63.

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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.

Vlada [557]

Answer:

a) $y=12000(2)^{\frac{t}{50}}$

b) Approx. 27,569 bacteria

c) About 103 minutes

Step-by-step explanation:

This will follow exponential modelling with form of equation shown below:

$y=Ab^{\frac{t}{n}}$

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

$y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}$

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

$y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76$

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

$y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103$

After about 103 minutes, there will be 50,000 bacteria

4 0

3 years ago

State if each pair of ratios forms a proportion....EXPLAIN AS WELL PLS!!!

ss7ja [257]

Answer:

1. 4/12 , 6/8

2. 16/12 , 3/4*

3. 3/2 , 15/14

4. 10/16 , 5/8

10/16 = 5/8

Which ratio forms a proportion with 9/15?

1. 6/10

2. 16/21

3. 36/50

4. 45/70

9/15 = 3/5 which is 6/10

A textbook weighs 2.5 pounds. How many kilograms does the textbook weighs? Round your answer to the nearest tenth of a pound. 1 kg = 2.2 lb

1. 1.1 kg

2. 1.8 kg

3. 5.5 kg

4. 4.7 kg

2.5 lbs * (1 kg/2.2 lbs) =

Solve the proportion using number sense. 2/8 = x/ 48

1. 6

2. 12

3. 16

4. 8

8 * 6 = 48

so what is 2 times 6 ?

or another way

1/4 * 48 = 12

Solve the proportion using cross products. 18/20 = k/110

1. 99

2. 122

3. 3.3

4. 2.9

20 k = 18*110

2 k = 18 *11

k = 9 * 11

Are the ratios 8/12 and 10/25 proportional? Explain

8/12 = 2/3

10/15 = 2/3 so no way 10/25 is 2/3

A 10-acre field produced 750 bushels of corn. At the rate, how much corn can be produced from a 14-acre field?

14 acres * ( 75 bushels/acre)

10/750 = 14/x

Step-by-step explanation:

hope this help and plz mark me a brainiest

4 0

3 years ago

Read 2 more answers

What is the sum?

BaLLatris [955]

4(x + 6)
4 × x = 4x
4 × 6 = 24

3(3x + 4)
3 × 3x = 9x
3 × 4 = 12

9x + 4x = 13x
12 + 24 = 36

So your answer is B) 13x + 36. I hope this helps!

4 0

3 years ago

Read 2 more answers

Find the inverse of the following matrix without using a calculator 1-1 2 -3 2 1 0 4 - 25

Artist 52 [7]

Answer:

18 -(17/3) (5/3)

25 (25/3) (7/3)

4 (4/3) (1/3)

Step-by-step explanation:

You can solve this problem by using the Gauss-Jordan method.

You have the original matrix and then the Identity matrix.

So:

Original Identity

1 -1 2 1 0 0

-3 2 1 0 1 0

0 4 -25 0 0 1

By the Gauss-Jordan method, in the original place you will have the identity and in the place that the identity currently is you will have the inverse matrix:

So, let's start by setting the first row element to 0 in the second and the third line.

The first row element of the third line is already at zero, so no changes there. In the second line, we need to do:

L2 = L2 + 3L1

So now we have the following matrixes.

1 -1 2 | 1 0 0

0 -1 7 | 3 1 0

0 4 -25 | 0 0 1

Now we need the element in the second line, second row to be 1. So we do:

L2 = -L2

1 -1 2 | 1 0 0

0 1 -7 | -3 -1 0

0 4 -25 | 0 0 1

Now, in the second row, we need to make the elements at the first and third line being zero. So, we have the following operations:

L1 = L1 + L2

L3 = L3 - 4L2

Now our matrixes are:

1 0 -5 | -2 -1 0

0 1 -7 | -3 -1 0

0 0 3 | 12 4 1

Now we need the element in the third line, third row being one. So we do:

L3 = -L3

1 0 -5 | -2 -1 0

0 1 -7 | -3 -1 0

0 0 1 | 4 (4/3) (1/3)

Now, in the third row, we need the elements in the first and second line being zero. So we do:

L1 = L1 + 5L3

L2 = L2 + 7L3

So we have:

1 0 0 | 18 -(17/3) (5/3)

0 1 0 | 25 (25/3) (7/3)

0 0 1 | 4 (4/3) (1/3)

So the inverse matrix is:

18 -(17/3) (5/3)

25 (25/3) (7/3)

4 (4/3) (1/3)

4 0

3 years ago

Which of the following inequalities represents "the car has no more than 5 gallons of gas left in the gas tank"?

MrRissso [65]

The answer is B. Hope this helps :)

7 0

3 years ago

Read 2 more answers