Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams? y = a * (.5) ^ (1/7)

Answer:

\(t \approx 50.4\,min\)

Step-by-step explanation:

The time constant of the element X is:

\(\tau = \frac{13\,min}{\ln 2}\)

\(\tau = 18.755\,min\)

The decay function has the following form:

\(\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }\)

\(t = -\tau \cdot \ln \frac{m}{m_{o}}\)

\(t = -(13\,min)\cdot \ln \left(\frac{11\,g}{530\,g} \right)\)

\(t \approx 50.4\,min\)

Answer:

Its actually 72.7

Step-by-step explanation:

HELP PLS ASAP!! The point (–5, –9) was reflected over an axis to become the point (5, –9). Which axis was it reflected over? Explain.

A. x-axis, because the x-coordinate is the opposite
B. x-axis, because the y-coordinate is the opposite
C. y-axis, because the x-coordinate is the opposite
D. y-axis, because the y-coordinate is the opposite

Alicia is solving the equation 2.3 x minus 1.6 = 8.8 minus 2.9 x. Which equations represent possible ways to begin solving for x? Check all that apply.
2.3 x minus 10.4 = negative 2.9 x
5.2 x minus 1.6 = 8.8
Negative 6.5 x minus 1.6 = negative 2.9 x
2.3 x + 1.3 = 8.8
2.3 x = 10.4 minus 2.9 x

What is the area of a square with a perimeter of 55 cm

Tuna Casserole
Here is a recipe for tuna casserole.



Ingredients

• 3 cups cooked elbow-shaped pasta

• 6 ounce can of tuna, drained

• 10 ounce can cream of chicken soup

• 1 cup shredded cheddar cheese

• $$1
1
2​cups French fried onions



Instructions

Combine the pasta, tuna, soup, and half of the cheese. Transfer into a 9-inch-by-18-inch baking dish. Put the remaining cheese on top. Bake 30 minutes at 350 degrees. During the last 5 minutes, add the French fried onions. Let sit for 10 minutes before serving.



cups of pasta to cans of tuna to ounces of soup to cups of cheese to cups of French fried onions



What is the ratio of the cups of pasta to ounces of tuna to ounces of soup to cups of cheese to cups of French fried onions in one batch of casserole?



Write the ratio in the form ___ : ___ : ___ : ___ : ___



We call that an "extended ratio" since it is more that 2 items.

what is the answers pls
no bots or ill report
ill give brainly this 1/5 questions

The scale of a map is 1¼ inch = 35 miles. If the distance from two points are 140 miles apart, how far are they away on the map?

Solve 13+x>11. Enter your answer as an equality

WILL GIVE BRAINLIEST IF CORRECT!! Evaluate. (3/8 + 3/4) - (1/3 + 1/6) Enter your answer as a fraction in simplest from by filling in the boxes

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i really need this plz plz will mark bianleast
Point S is translated left 8, down 4.
Which is the coordinate pair for the translated point S'?




(8, 4)

(4, –1)

(–8, –4)

(–4, –1)

math question someone pls explain how to answer it I am stuck

What is g(–3) in the function g(x) = 4x2 + 3

(NOTE) the 4x2 is supposed to be 4x to the second power

Solve the following:

four and three tenths plus three and six tenths equals
Question 3 options:

nine and seven tenths

seven and nine tenths

7

four and nine tenths

A computer store buys a computer system at a cost of $370.80. Then selling price was first at $618, but then the store advertised a 20% markdown on the system. Answer part A and then I give you part B.

PLEASE HELP QUICKLY!

Antwan determines the distance between the numbers –7 and 2. Maggie determines the difference between –7 and 2. How are Antwan’s and Maggie’s solutions related?
A. Maggie’s solution is the absolute value of Antwan’s solution.
B. Antwan’s solution is the absolute value of Maggie’s solution.
C. Both solutions are greater than either of the two numbers in the problem.
D. Both solutions are less than either of the two numbers in the problem.

Alicia reserves buses for a field trip. Each bus holds 36 people. There are 127 people signed up for the field trip so far. How many more people can sign up before Alicia needs to reserve another bus?​

so i uhm-...............

A concrete slab has a length of 25 in, a height of 30 in, and a width of 20 in. There are 200 slabs needed for a job. What is the volume of all 200 slabs?

15,000 in3

250,000 in3

1,000,000 in3

3,000,000 in3

This hanger is in balance. There are two labeled weights of 10 grams and 31 grams. The 2 diamonds each have the same weight. What is the weight of each diamond, in grams

The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $10 per ticket to the planetarium. The second day they paid $100 for transportation plus $7 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.

An expression that represents the total cost in dollars for two days for the n members of the club is given by

Use the key features of the polynomial f(x) = 6x4 + 4x3 − 5x2 − 2x + 1 to describe its end behavior.

The left side continues up, and the right side continues up.
The left side continues down, and the right side continues down.
The left side continues up, and the right side continues down.
The left side continues down, and the right side continues up.

What are the terms in the expression 4 + 9v + 6w?

A. 4, 9v, and 6w

B. 4, 9, and 6

C. v and w

D. 9 and 6

How many sides do a Hexagonal Pyramid have?

what are some multiplaction problems for 64 and 72 ill give you crown if you answer

What is the answer?

A. 94 cubic feet
B. 118 Cubic feet
C. 86 Cubic feet
D. 156 Cubic feet

Please help. Hurry

What is 10x10x20x90?

Pls help!

Something divided by - 1 1/4 = 2.8

−1/5 (x + 1 3/4) = −2 1/2

A. x = 21 1/4

B. x = 14 1/4

C. x = 10 3/4

D. x = 3 3/4

The data shows the number of products an assembly line creates each hour for 7 randomly selected hours.53,65,81,90,72,55,95
What is the range of the data set?

How fast did Zane climb? I attached 3 pictures of the problem. Please answer quick, Thanks :)

( 20 points! )