A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)

Answer:

a. Alice’s claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.

Alice claims that a sample size of 25 will produce a narrower interval

25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.

Desmond claims that a sample size of 15 will produce a narrower interval.

15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.

So the correct answer is given by option a.

Answer:

2x + 6

Step-by-step explanation:

you have to factorize the above equation first and you'll get the answer

Answer:

1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's

Step-by-step explanation:

.3 is in the tenths and .33 is in the hundredths place

The early redemption fee on this account is $2.25.

The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. APR is a number that shows the actual yearly cost of funds throughout the life of a loan or the revenue received on an investment. This includes any fees or additional costs linked with the transaction but excludes compounding. The APR provides consumers with a single number that they may use to compare lenders, credit cards, and investment products.

We buy a CD for $300 that earns 3% APR and is compounded quarterly.

So, The early withdrawal fee is equivalent to 3 months' interest.  

= (APR / 12) X 3

= APR / 4

= 3% / 4

= 0.03/ 4

= 0.75

and, the Early withdrawal fee = 0.75 x $300

Thus, the redemption fee  is

= 0.0075 x $300

= $2.25

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Answer:

Angle B= 31°

angle ECD=118°

Step-by-step explanation:

It Is Because Of The Two Sides Are Equal So that the opposite angle of each equal sides also equal.

angle A=angle B

31°=31°

So Angle B=31°

angle ACB+angle B+angle A=180°

angle ACB+31°+31°=180°

angle ACB+62°=180°

angle ACB=180°+62°

angle ACB=118°=angle ECD

Because It Is Him Opposite Angle

Answer:

Oh ok add me abelthegoat8

Step-by-step explanation:

Answer:

I don't have sc, but thx for the points! :)

Step-by-step explanation:

have a good day!

Answer:

2x-7, 2x-7=14, 2+7

Step-by-step explanation:

I am 99% sure these are correct

Answer: 37.5%

Step-by-step explanation:

To find 3/8, divide 100 by 8 (12.5), then multiply that by 3 to figure out 3/8.

Answer:

90 degrees

Step-by-step explanation:

Answer:

It’s 100% 25..

Step-by-step explanation:

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

Answer:

trianglw

Step-by-step explanation:

Answer:

Two circles and a rectangle will make up a cylander.

Step-by-step explanation:

Have a good day! :)

Answer:

17) [tex]6a^{3}b^{2}[/tex]

18) [tex]40m^{4} n^{10}[/tex]

19) 14x³y²

20) [tex]9x^{2} y^{6}[/tex]π

Step-by-step explanation:

17)

Area of triangle = 1/2*b*h

A = 1/2(4a²b)(3ab)

A = 6(a³b²)

18)

A = 1/2(4mn⁵)(20m³n⁵)

A = (40)(m⁴n¹⁰)

19)

A = 2 (1/2)(2xy)(3x²y)

A = (6x³y²) + (4x²y*2xy)

A = 6x³y² + 8x³y²

A = 14x³y²

20)

A = (3xy³)²

A = 3² x² (y³)²

Answer:

12 if the donuts are sold in boxes and not singular,  15 if you can buy a smaller sized box

Step-by-step explanation:

Hope this helps! have a great day!

Answer:

B

Step-by-step explanation:

the mean of A

= (84 + 84 + 85 + 86) ÷ 4

= 339 ÷ 4

= 84.75

the median of A

= (84 + 85) ÷2

= 169 ÷ 2

= 84.5

84.75 > 84.5

the mean of B

= (74 + 79 + 82 + 87) ÷ 4

= 332 ÷ 4

= 80.5

the median of B

= (79 + 82) ÷2

= 161 ÷ 2

= 80.5

80.5 = 80.5

the mean = the median

the mean of C

= (63 + 66 + 67 + 68) ÷ 4

= 264 ÷ 4

= 66

the median of C

= (66 + 67) ÷2

= 133 ÷ 2

= 66.5

66 < 66.5

the mean of D

= (14 + 16 + 18 + 19) ÷ 4

= 67 ÷ 4

= 16.75

the median of D

= (16 + 18) ÷2

= 34 ÷ 2

= 17

16.75 > 17

Answer:

x = 4

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If you multiply it out, the expressions have the same value of 6p, so whatever you plug in for p, it will always be the same

Answer:

310 mm 0.6 km = 6,000 m 457 mm = 4.57 cmStep-by-step explanation:

The statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that conversations  1km = 1000 m

1 cm = 10 mm

1 m = 100 cm

0.6 km = 6,000 m is not correct, as 0.6 km is 600m

46 m = 4,600 cm is correct.

0.31 m = 310 mm is correct

457 mm = 4.57 cm is incorrect, as 457 mm  is 45.7 cm

7.5 m = 0.0075 km is correct

0.31 m = 310 mm is correct

Hence, the statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations

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Answer:

tan (90° - A) = cot A

Step-by-step explanation:

tan (90° - A) = sin (90° - A) / cos (90° - A) = cos A / sin A = cot A

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

144

Step-by-step explanation:

20²-16²

pythagorean theorem

a²=b²-c²

Answer:

When it is the first operation in an expression, from left to right.

Answer:

$43.20 total

$3.20 sales tax

Explication:

40*1.08=43.2

Answer:

sales tax = $3.20

total cost = $43.20

Step-by-step explanation:

To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).

Sales tax percent: 8%

In decimal form: 0.08

Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,

(item_price) * (sales_tax)

= (40) * (0.08)

= 3.2

Sales tax amount: $3.20

To find the total cost of the product, add the sales tax amount to the item price,

(item_price) + (sales_tax_amount)

= 40 + 3.20

= 43.20

Answer:

the First One By Adding Four

The Second One Add Five And Two

The Third Add Two And Substract Four

Given:

A figure of a right angle.

To find:

The value of x.

Solution:

We know that the measure of the altitude on the hypotenuse of a right right triangle is the geometric mean of the segments of the hypotenuse.

If the altitude "h", divides the hypotenuse in two segments "a" and "b", then

[tex]h=\sqrt{ab}[/tex]

In the given figure, the measure of the altitude is x and it divides the hypotenuse in two segments 3 units and 24 units.

Using the above theorem, we get

[tex]x=\sqrt{3\times 24}[/tex]

[tex]x=\sqrt{72}[/tex]

[tex]x=6\sqrt{2}[/tex]

Therefore, the required solutions for the given blanks are:

Blank 1: 72

Blank 2: 6

Blank 3: 2

Answer:

zoom in

mark me as brainliest

Answer:

What does this even say maybe I can try and help.