The half-life of a radioactive kind of europium is 15 years. If you start with 90,624 grams of it, how much will be left after 75 years?
Answer: To determine how much of the radioactive europium will be left after 75 years, we can use the half-life formula:
Amount remaining = Initial amount * (1/2)^(time elapsed / half-life)
Given that the half-life of the radioactive europium is 15 years and the initial amount is 90,624 grams, we can substitute these values into the formula:
Amount remaining = 90,624 * (1/2)^(75 / 15)
Calculating the exponent first:
(75 / 15) = 5
Substituting this back into the formula:
Amount remaining = 90,624 * (1/2)^5
Simplifying the exponent:
(1/2)^5 = 1/32
Substituting this back into the formula:
Amount remaining = 90,624 * 1/32
Simplifying the calculation:
Amount remaining = 2,832 grams
Therefore, after 75 years, there will be approximately 2,832 grams of the radioactive europium left.
What's the answer ? 
A. B. C. Or D? 
                                                Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
\(4x+2y=12\\-4x+y=-18\)
Answer:
(4, - 2 )
Step-by-step explanation:
4x + 2y = 12 → (1)
- 4x + y = - 18 → (2)
adding the 2 equations term by term will eliminate x
(4x - 4x) + (2y + y) = 12 - 18
0 + 3y = - 6
3y = - 6 ( divide both sides by 3 )
y = - 2
substitute y = - 2 into either of the 2 equations and solve for x
substituting into (1)
4x + 2(- 2) = 12
4x - 4 = 12 ( add 4 to both sides )
4x = 16 ( divide both sides by 4 )
x = 4
solution is (4, - 2 )
Yuan wrote 16 letters to friends each month for n months in a row. write an
 expression to show how many total letters yuan wrote,
The total number of letters written by Yuan can be shown as the algebraic expression is 16n letters.
An algebraic expression is a combination of terms separated by mathematical operations like addition (plus: +), subtraction (minus: -), multiplication (product: *), and divide (by: /).
Terms are combinations of variables and numeric values.
In the question, we are given that Yuan wrote 16 letters to friends each month for n months in a row.
We are asked to write an algebraic expression to show how many total letters Yuan wrote.
The number of letters written by Yuan each month = 16 letters.
The number of months for which Yuan wrote letters to his friend = n months.
The total number of letters will be the product of the two.
Thus, the total number of letters written by Yuan can be shown as the algebraic expression 16 * n letters = 16n letters.
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Suppose that the function f is given by f(z, 3) = 4 – 8 – +1. Find the critical points of f. For each critical point of f. determine whether it is a local minimum, local maximum, or a saddle point.
The critical point of f at z = 1 is a local minimum.
To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.
Take the partial derivative of f with respect to z:
∂f/∂z = 8z - 8
Set the derivative equal to zero and solve for z:
8z - 8 = 0
8z = 8
z = 1
The critical point of f occurs when z = 1.
To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).
Taking the second partial derivative of f with respect to z:
∂²f/∂z² = 8
Evaluate the second derivative at the critical point:
∂²f/∂z² at z = 1 is 8.
Analyzing the second derivative:
Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.
Therefore, the critical point of f at z = 1 is a local minimum.
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1/4 + 1/6 = 1/6 + 1/4
Answer:
This is true
Step-by-step explanation:
The fractions are just switched around.
what are the answer ?? please
24. Plants will turn ideas into practical action a. True b. False 25- Shapers will see the "small picture" and make sure that the solution results in a change of direction a. True b. False
24. The answer is False. Plants will not turn ideas into practical action.
25. The answer is True, Shapers will see the "small picture" and make sure that the solution results in a change of direction.
24. Plants are the creative innovators in an organization. They are characterized by their creativity, originality, and unorthodox problem-solving abilities. They generate new ideas and approaches to problem-solving. However, they may not have the necessary drive to see those ideas through to fruition. So, it is not true that plants will turn ideas into practical action. Thus, the statement is false.
25. Shapers are dynamic individuals who thrive on challenge, possessing the drive and courage to overcome obstacles and make things happen. They provide the necessary impetus to ensure that ideas are turned into action and that decisions are taken quickly and efficiently. They are the ones who see the "small picture" and make sure that the solution results in a change of direction. So, it is true that shapers will see the "small picture" and make sure that the solution results in a change of direction. Thus, the statement is true.
The correct answer for statement 24 is False and for statement 25 is True.
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PLEASE HELP. I need both the x and y and the length of DF
                                                The value of x is 17, y is 2 and length of DF is 20.
Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.
For x
DG = GE ( Given )
DG + GE = DE
DE = 2(DG)
DG/DE = 1/2
hence GH/EF = 1/2
By Basic Proportionality Theorem ( BPT )
(x – 3) / 28 = 1/2
after cross multiplication
2(x – 3) = 28
2x – 6 = 28
2x = 34
x = 17
For y
By Basic Proportionality Theorem (BPT) to side DF
DF = 2(DH)
DH/DF = 1/2
(y + 8) / (y + 8 + x – 7) = 1/2
after cross multiplication
2(y + 8) = y + 8 + x – 7
put x = 17
2(y + 8) = y + 8 + 17 – 7
2(y + 8) = y + 18
2y + 16 = y + 18
2y = y + 2
2y – y = 2
y = 2
DF = 2(2+8)
= 2(10)
= 20
Hence, x is 17, y is 2 and DF is 20.
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The ages of Sohail, Afzal and Bilal are 17, 16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?
Sohail=17
afzal=16
Bilal=12
Aslam=16+5=21
suppose mike, roberta, and paul all go out to dinner. mike's meal costs $27, roberta's costs $38, and paul's costs $28. assuming this already includes any tip, what is the average cost of their dinners? (hint: this is also the amount each would pay if splitting the bill equally.)
The average cost of their dinners, or the amount each person would pay if splitting the bill equally, is $31.
The average cost of their dinners can be found by adding up the costs of their meals and dividing the sum by the number of people, which in this case is three. The costs of Mike's, Roberta's, and Paul's meals are $27, $38, and $28, respectively.
To find the average cost, we add up the costs: $27 + $38 + $28 = $93. Then we divide this total by the number of people, which is three.
So, the average cost of their dinners is $93 ÷ 3 = $31.
Therefore, the average cost of their dinners, or the amount each person would pay if splitting the bill equally, is $31. This means that if they decide to divide the total cost of their meals equally among themselves, each person would contribute $31.
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Benny went to an arcade where every player gets 2 tokens as they arrive. Each time Benny plays a game he wins additional tokens. The number of games, X, and the total number of tokens Benny has, y.
are represented in the table below.
Complete the table AND write a function rule to represent how many tokens Benny has based on the number of games he plays
Drag and drop an answer choice in each my box below
2 4 6 8 10
10
Answer:
y = 2x + 2
Step-by-step explanation:
just trust me i took test and it had this question on it lol
                                                            the results generated in the map phase are combined in the ________ phase.
The results generated in the map phase are combined in the _reduce_ phase.
In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.
However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.
Therefore, The results generated in the map phase are combined in the _reduce_ phase.
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The prediction equation y = 5.92x + 119.21 models the median selling price, in thousands of dollars, of new homes in a certain area since 1995. Predict the median selling price in 2015.(Do not separate the numbers
Answer:
$237.61Step-by-step explanation:
given that the function to predict the price is
y = 5.92x + 119.21
x= the number of year,
given that we are predicting from 1995-2015
the difference is 20years
So put x=20 in the expression we have
y = 5.92(20) + 119.21
y=118.4+119.21
y=237.61
the median price is $237.61
60/4001 can you do this
Answer:
66.688333333333 ........ठीक हुन्छ .
PLEASE HLEP 
14.Write the expanded form of the expressions below: y(-3-7x)
Answer:
− 7 − 3
Step-by-step explanation:
( − 3 − 7 )
( − 7 − 3 )
the domain for the relation a is the set of all real numbers. xay if |x - y| ≤ 2.
The domain relation a consists of all pairs of real numbers whose absolute difference is less than or equal to 2.
The given relation is defined as follows:
a: {(x, y) | x, y ∈ ℝ and |x - y| ≤ 2}
In this relation, the domain is specified as the set of all real numbers, which means that any real number can be used as the input for this relation.
To clarify, if we take any two real numbers, x and y, and the absolute value of their difference, |x - y|, is less than or equal to 2, then the ordered pair (x, y) is included in the relation.
For example, if we choose x = 3 and y = 1, then |3 - 1| = 2, which satisfies the condition |x - y| ≤ 2. Therefore, the ordered pair (3, 1) is in the relation a. Similarly, if we choose x = 2 and y = 4, |2 - 4| = 2, so the ordered pair (2, 4) is also in the relation.
In summary, the relation a includes all ordered pairs (x, y) where the absolute difference between x and y is less than or equal to 2, and it can be used with any real numbers as input.
The relation a is a subset of the Cartesian product of the set of all real numbers with itself, denoted by R × R. In other words, a is a set of ordered pairs (x, y) such that |x - y| ≤ 2, where x and y are real numbers.
For any real numbers x and y, the expression |x - y| represents the absolute value of the difference between x and y. The absolute value of a number is always non-negative, so the inequality |x - y| ≤ 2 means that the distance between x and y on the real number line is less than or equal to 2.
Therefore, the domain of the relation a is the set of all real numbers, since the definition of the relation applies to any two real numbers x and y.
The given relation is defined as follows:
a: {(x, y) | x, y ∈ ℝ, |x - y| ≤ 2}
This relation represents all pairs of real numbers (x, y) where the absolute difference between x and y is less than or equal to 2. In other words, it includes all pairs (x, y) such that the distance between x and y on the real number line is at most 2.
For example, (1, 3) is in the relation a because |1 - 3| = 2, which satisfies the condition |x - y| ≤ 2. Similarly, (5, 6) is in the relation a because |5 - 6| = 1 ≤ 2.
On the other hand, (4, 8) is not in the relation a because |4 - 8| = 4 > 2, violating the condition.
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true or false refer to the phone regression results the dependent variable is aboard the number of abortions per 1,000 women of childbearing age the regression was estimated using a data set of the 50 us states with a three predictors age equals median age of population percent of total birds by unmarried women infant mortality rate per 1,000 live births and a two-tailed test on the coefficient of infirm or we should reject the null hypothesis that the coefficient of if more is here
False. The regression results do not indicate whether or not we should reject the null hypothesis that the coefficient of if more is here.
The regression results only indicate the relationship between the dependent variable (number of abortions per 1,000 women of childbearing age) and the three predictors (median age of the population, percent of total births by unmarried women, and infant mortality rate per 1,000 live births).
The two-tailed test of the coefficient of if more is a separate statistical process used to test the statistical significance of the coefficient. Thus, the regression results do not determine whether or not the null hypothesis should be rejected.
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The coordinates of point T are (0,5). The midpoint of ST is (1,-4). What is the coordinate of S.
Answer:
Step-by-step explanation:
(x + 0)/2 = 1
x + 0 = 2
x = 2
(y + 5)/2 = -4
y + 5 = -8
y = -13
(2, -13)
Tommy and Erin are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. Tommy thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.
A)Why is Tommy's reasoning incorrect? Explain.
B) How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Show your work.
C) Erin’s parents bought a 10 foot piece of plywood for her and tommy to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem. 
Please answer all parts I really need the answer to these questions.
                                                Answer:
The answer is below
Step-by-step explanation:
The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.
Let the hypotenuse be b, length be a and height be c Hence:
b² = a² + c²
b² = 3² + 5²
b² = 9 + 25
b² = 34
b = 5.83 feet
B) The plywood needs to be 5.83 feet long
C) Since the top of the ramp is 10 feet, let us assume the height of the ramp to be 6 feet, hence, the length of the ramp a is:
10² = a² + 6²
100 = a² + 36
a² = 64
a = 8 feet
Answer:
C
Step-by-step explanation:
93 percent as an fraction
Answer:
93/100
Step-by-step explanation:
%93 converts to 93/100 in fraction form
Answer:
easy is 93/100
Step-by-step explanation:
using quadratic equation:
help me solve it
\(10x -  \frac{1}{x }  = 3\)
Answer:
\(10x - \frac{1}{x} = 3 \\ 10x = 3 + \frac{1}{x} \\ 10x = \frac{3x + 1}{x} \\ 10x \times x = 3x + 1 \\ 10 {x}^{2} = 3x + 1 \\ 10 {x}^{2} - 3x - 1 = 0 \\ 10 {x}^{2} - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = \frac{ - 1}{5} \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = \frac{1}{2} \)
hope this helps you.
Have a nice day!
the longer diagonal of a field in the shape of a quadrilateral is 120 m and the length of the perpendiculars from the opposite vertex upon a longer diagonal is 20 m and 30 m find the area of the field Step by Step Explaination class 8 lesson no. 11 mensuration
The area of the field is 900√10 m².
How to determine the areaWe have, Quadrilateral ABCD.
The longer diagonal connects vertices A and C, and let E and F be the feet of the perpendiculars from vertices B and D to the longer diagonal AC.
From the figure,
BE = 20 m
DF = 30 m
AE = EC = 120/2 = 60 m
The area of a trapezoid.
AB² = AE² + BE²
60² + 20² = 4000
AB = √(4000)
AB = 20 √10
And,
CD² = CE² + DF²
CD² = 60² + 30²
CD² = 4500
CD = √(4500)
CD = 15 √20
Now,
Area = AB + CD x 1/2 x AC
= 20√10 + 15√20 x 1/2 x 120
= 900√10m²
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I need help with this math problem
                                                Answer:
This rectangle is shifted 1 unit to the left and then 4 units down. So the algebraic rule is (x - 1, y - 4).
Suraj took a slice of pizza from the freezer and put it in the oven.
The pizza's temperature (in degrees Celsius) as a function of time (in minutes) is graphed.
How long was each increase by 4 degrees Celsius?
Choose 1 answer:
A.) 1 minute
B.) 1/2 minute
C.) 1/3 minute
D.) 1/4 minute
                                                Using proportions, it is found that the length each increase of 4 degrees Celsius is given by:
B.) 1/2 minute
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Looking at the graph, the increase is of 16 degrees in 2 minutes, hence the rate is given by:
r = 16/2 = 8 degrees per minute.
For 8 degrees, the time is given by:
t = 4/8= 1/2 minute, hence option B is correct.
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9) Solve for x. *
(7x - 25)
(3x +
35°
6
15
17
19
                                                Answer:
x=15
(7x - 25) = (3x + 35)
7x - 3x = 4x
25 + 35 = 60
4x ÷ 60 = 15
x = 15
Look at this table:
-4
10
81
-3
10
27
10
-2
9
-1
10
3
0
10
Write a linear (y = mx + b), quadratic (y = ax?), or exponential (y = a(b)") function that
models the data.
y =
                                                what is joey's mean speed if he bikes 58.8 miles in 2.8 hours? round your answer to two decimal places, if necessary.
After heating up in a teapot, a cup of hot water is poured at a temperature of 
20
3
∘
203 
∘
 F. The cup sits to cool in a room at a temperature of 
6
9
∘
69 
∘
 F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
�
=
�
�
+
(
�
0
−
�
�
)
�
−
�
�
T=T 
a
 +(T 
0
 −T 
a
 )e 
−kt
�
�
=
T 
a
 = the temperature surrounding the object
�
0
=
T 
0
 = the initial temperature of the object
�
=
t= the time in minutes
�
=
T= the temperature of the object after 
�
t minutes
�
=
k= decay constant
The cup of water reaches the temperature of 
18
5
∘
185 
∘
 F after 1.5 minutes. Using this information, find the value of 
�
k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4.5 minutes.
Enter only the final temperature into the input box.
The cup of water reaches a temperature of 173 F after 4.5 minutes.
What is temperature?Temperature is a measure of the average kinetic energy of particles in a system. It is an important physical quantity used to describe the state of a system and is widely used in science, engineering, and everyday life. Temperature is a thermodynamic property of a system that shows how much energy is available to do work. In everyday terms, temperature is a measure of how hot or cold something is.
k = -0.2416
The equation for the cooling rate of the cup of water is:
T(t) = 203- 0.2416t
After 4.5 minutes, the temperature of the cup of water can be found by substituting t = 4.5 into the equation:
T(5) = 203- 0.2416(4.5 ) = 173.08 F
Therefore, the cup of water reaches a temperature of 173 F after 4.5 minutes.
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A number is written in scientific notation when the first factor is
A number is written in scientific notation when the first factor is greater than or equal to 1 and less than 10.
What is scientific notation?In Mathematics, scientific notation is sometimes referred to as scientific form or standard index form and it can be defined as a technique which is typically used for expressing numbers that are either too small or too large to be written conveniently in decimal form.
What are factors?Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.
As a general rule, you can only write a number in scientific notation when the first factor is written with one number before the decimal point i.e it is greater than or equal to (≥) 1 and less than (<) 10.
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what is 2÷3 2/3 in simplest form
Answer:
here it is
Step-by-step explanation:
you can see, 2/3 cannot be simplified any further, so the result is the same as we started with. Not very exciting, I know, but hopefully you have at least learned why it cannot be simplified any further!