A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)

Answer:

C. 3i✓3

Step-by-step explanation:

Which choice is equivalent to the expression below?

✓-27

Square root of a negative value, so it will have a complex part.

We have that:

[tex]\sqt{-a^2} = ai[/tex]

In this question:

The square root of -27 can be factored as:

[tex]\sqrt{-27} = \sqrt{3(-9)} = \sqrt{3}\sqrt{-9} = 3i\sqrt{3}[/tex]

So the correct answer is given by option C.

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

[tex]s = \dfrac{60}{12}[/tex]

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]

To minutes;

[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]

= 18 minutes

Answer:

29.33

I thinks that right... lol :D

Forgive me if it wrong :(

Step-by-step explanation:

That is equivalent to 308 square yards.  You can verify it on this website https://www.inchcalculator.com/square-yards-calculator/.

Answer:

13÷ 23

Step-by-step explanation:

The computation of the odds of player winning is shown below;

For $5 it is 40%

And, for $100 it is 25%

so for total it is

= 40% + 25%

= 65%

And, the total percentage is 100%

So, the odds in favor is

65:100

13:20

Now for winning it would be 13÷ 23

Answer:

There is no link to the results/question.

The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.

The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.

Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.

Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.

Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.

Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.

For more such questions on amplitude

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Answer:

C 532 square feet

Step-by-step explanation:

We need to calculate the surface area of the storage shed.  This includes the floor.  I did the calculations without the floor and I got 434ft, which is not one of the answers.

Length = 14ft Width = 7ft Height = 8ft

The front and back of the shed both have dimensions of 14x8

The left and right sides of the shed have dimensions of 7x8

The roof and floor have the dimensions of 14x7

2(14 x 8) + 2(7 x 8) + 2(14 x 7)

2(112) + 2(56) + 2(98)

224 + 112 + 196

532 square feet

I hope this helps.

Answer:

6

Step-by-step explanation:

Answer:

D. -3

Step-by-step explanation:

Answer:

a) 100

b) 7

Step-by-step explanation:

Remember that angle measurements correspond to side lengths. This also means that if two sides or angles are congruent, then the angle or side opposite of them will also be congruent. For example, in part a two sides are both 6. This means that the angles opposite of them are also both 40. Finally, to find <K subtract 80 (because that is 40+40) from 180. Therefore, the answer is 100 degrees.

Next, remember that the markings on the angles in part b mean that the angles are congruent. Since all the angles are congruent, the sides must be as well. So HI=7.

Answer:

50 degrees is the answer

Answer:

352 mph

Step-by-step explanation:

cuz I'm super smart

Answer: 1126.4

Step-by-step explanation:

Rate times time, takes her 3.2 hrs and she travels 352, 3.2 times 352 is 1126.4

Answer:

23.16 punces

Step-by-step explanation:

6x3.86=23.16

Answer: 23.16 ounces

Step-by-step explanation:

If there are 6 candy bars that each weigh 3.86 ounces, you need to add up all of the weights to find the total pack weight. 6*3.86=23.16

*If by any chance you need your answer to be in pounds, divide the answer by 16 (16 ounces in a pound). 23.16/16= 1.45 pounds

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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Answer:

dist = 60 mph * (3.5 hrs) = 210 miles

The answer is 210 Miles

Answer:

answers b, c, d, and e are all correct

Answer:

B, D and e

please mark me brainliest

Answer:

OMG OMG OMG OMGOOOOOOOOOOO THANKS FOR 50 POINTS

Answer:

41.25

Step-by-step explanation:

(1) area = 5.5 × 7.5

(2) area = 41.25

:)

Answer:More than nine-in-ten Hispanics identify with a specific religion. That, along with several other measures of belief and behavior, means that Hispanics as a group are highly religious. How does this affinity for spirituality vary among Latinos with different demographic characteristics or religious affiliations? And how precisely do the religious beliefs of Latinos set them apart from the rest of the population?

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x = 40}[/tex]

We can solve for x knowing that the sum of interior angles in a triangle is 180°.

The square at the bottom indicates a right angle, or 90°. Therefore:

180 = 90 + x + (x + 10)

Combine like terms:

180 = 100 + 2x

Subtract 100 from both sides:

180 - 100 = 2x

80 = 2x

Divide both sides by 2:

x = 40.

Answer:

hi

Step-by-step explanation:

x+90⁰+x+10=180

x+x+10=180-90

2x+10=90

2x=90-10

2x=80

x=80/2

x=40

have a nice day

Answer:

1 is the answer.

(According to me)

Hope it helps!!!

Answer:

Ava swam 203 more miles

Step-by-step explanation:

357-154=203

Answer:

Its Alternate Exterior Angle Theorem.

Step-by-step explanation:

Answer:

y = x + 2

Step-by-step explanation:

Choose any two points from the graph

(0, 2) ;  (-2 , 0)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]= \frac{0-2}{-2-0}\\\\= \frac{-2}{-2}\\\\= 1[/tex]

y - intercept = 2    

y = mx + b              {m = 1 and b = 2}

y = x + 2

Answer:

weisnedjdjjdidjdndndjddjxjjdjdndndjdjdndndndnddn

Answer: Jeff is correct.

Step-by-step explanation:

The sum of the two sides of the triangle must greater than the longest side, which in this case, the longest side is 19 feet.

8 + 12 ? 19

20 > 19

Therefore, Jeff is correct.

Answer:

im not sure but i think it is A...

Answer:

the answer is actually study and you would know

Step-by-step explanation:

Answer:

3 and 19

Step-by-step explanation: