Imagine that you could increase the gravitational
force on Earth to 200% its current force. What would life be like?
Compose a written response below in complete sentences.

Answers

Answer 1

Your joints and bones would first have to work harder to support your heavier weight.

What would happen if there was a 200% increase in gravity?If you were subjected to double gravity for an extended length of time, it may be deadly since it would put your body under a lot of strain. Your joints and bones would first have to work harder to support your heavier weight. Even minor motions would be difficult for your muscles.Our blood will be drawn down into our legs if the gravity is too powerful, and we risk having our bones break or perhaps being helplessly stuck to the earth. It is preferable to determine the gravitational limit of the human body before we set foot on a sizable new planet.

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Related Questions

Bashar drew a regular pentagon with sides that are 5 inches long. Then he drew a pentagon with sides that are half the length of the first pentagon's sides. What is the length of the sides of the second pentagon?

Answers

Answer:

The length of the sides of the second pentagon would be half of 5 inches, or 2.5 inches. This is because when you halve the length of a line, the new line is half as long as the original.

The probability of winning a certain game is 0. 5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are n=10, n=20, and n=100, which value of n should the player choose in order to maximize the probability of winning a prize?.

Answers

0.117 Or 11.7% chance of n should the player choose in order to maximize the probability of winning a prize.

What is the binomial theorem on probability?

The probability of precisely x successes on n further trials in an experiment with two potential outcomes is referred to as the binomial probability (commonly called a binomial experiment).

When a procedure is performed a certain number of times (for example, in a group of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."

The probability of winning a prize remains the same for. n = 10 or n=20 or n = 100; the probabilities are the same.

Given that,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

Therefore, P ( x = 3) = [tex]^{10}C_3p^7q^3[/tex]

or, P ( x = 3) = [tex]^{10}C_3(0.5)^7(0.5)^3[/tex]

or, P (x = 3) = 120×0.0078×0.125.

or, P (x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value won't have any effect as all the 'n's are multiple of 10 and we'll have same probability.

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solve the question attached​

Answers

Answer:

B) y = 4a

------------------------------

Given:

[tex]log_2 \ y = 2+ log_2\ x[/tex]

Find y if x = a:

[tex]log_2 \ y = 2+ log_2\ a[/tex][tex]log_2 \ y =2 log_2\ 2+ log_2\ a[/tex][tex]log_2 \ y = log_2\ 2^2+ log_2\ a[/tex][tex]log_2 \ y = log_2\ 4+ log_2\ a[/tex][tex]log_2 \ y = log_2\ (4*a)[/tex][tex]log_2 \ y = log_2\ (4a)[/tex][tex]y=4a[/tex]

Correct choice is B.

What is the slope of the line graphed below?
(0, -1)
(3,5)

Remember to write your answer in simplest form.

Answers

Answer:

The answer is 2

Step-by-step explanation:

y2-y1/x2-x1

rotation 90 degrees counterclockwise about the origin

Answers

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

What is the cartesian plane?

The cartesian plane is defined in mathematics as a two-dimensional coordinate plane formed by the intersection of the x- and y-axes. The origin is the point where the x- and y-axes intersect perpendicularly.

What are the quadrants?

Quadrant one (QI) is the top right fourth of the coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's top left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.

Given:

The direction of rotation = clockwise, (from the first quadrant to forth quadrant then third quadrant, and so on)

Angle of rotation = 90° about the origin

According to the question, let's take our start point as A(x, y)

So, A( x, y) will lie in the first quadrant.

After 90° rotation about the origin A' will lies in fourth quadrant.

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

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Lindsey's Cafe uses 5 bags of coffee every day. How many days will 1/2 of a bag of coffee last?

Answers

When she uses 5 bags of coffee every day at her café, half of a bag of coffee lasts for 10 days.

What is division?

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. Division is a basic operation that divides an integer. It's best to imagine of it as a group of things being distributed among a group of individuals, as in the preceding example.

Here,

number of bags needed in a day=5

number of days 1/2 bag last,

=5÷1/2

=10 days

Half of bag of coffee last for 10 days when she uses 5 bags of coffee every day in her café.

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What property is this the rule for?
a +b= b+a

Answers

Commutative property
Explanation:
because it only changes the order

What are the domain and range of f (x) = log (x + 6) minus 4?
domain: x > –6; range: y > 4
domain: x > –6; range: all real numbers
domain: x > 6; range: y > –4
domain: x > 6; range: all real numbers
Mark this and return

Answers

Domain: x > –6; range: all real numbers are the domain and range of f (x).

What is domain and range ?

The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x).

                              The collection of numbers that the function assumes is known as its range. After we enter an x value, the function outputs this sequence of values.

we need to remove all the values of x such that

x + 6 ≤ 0

Solving for x, we get

x ≤ -6

So the only values of x allowed are the ones that make the next inequality true:

x > -6.

Thus we can write the domain as:

D {x | x ∈ R | x > -6}

Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number .

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Answer:

2 or B

Step-by-step explanation:

The answer above is correct.

w write the total area as a product
ing the GCF as one of the factors.
54+42 = (6.9) + (6-7)
6
+7)

Answers

The area expression as products is 7 * (8 + 6)

How to rewrite the area expression as products

From the question, we have the following parameters that can be used in our computation:

Area = 54 + 42

Express 54 as a product of 7 and 8

So, we have the following representation

Area = 7 * 8 + 42

Express 42 as a product of 7 and 6

So, we have the following representation

Area = 7 * 8 + 7 * 6

Factor out 7

This gives

Area = 7 * (8 + 6)

Hence, the expression using GCF is 7  * (8 + 6)

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Mr.eder’s dog is on a special diet from the vet. The dog is to eat 1/4 kg of food per day. Me.Eder buys a 6 pound bag of dog food. If mr.Eder follows the vet’s diet, how many days will this bag of food last

Answers

For 10 days that bag will last when Mr. Eder's buys 6 pound bag of dog food, using kg to pound conversion and simple basic arithmetic operation.

How to convert kg to pound ?

We know that 1 Kg = 2.20 pound.

The dog is to eat 1/4 * 2.20 = 0.55 pound food

Weight of bag brought by him = 6 pound

The basic operations are :

Addition : (+) To get sum of two or more values

e.g. a = 3, b = 5

Addition = 3+5

              = 8

Subtraction : (-) The result of subtraction is the “difference”

e.g. Subtraction of a and b = a-b

                                             = 3-5

                                            = -2.

Multiplication : (*) The result of multiplication is the “product”

e.g. Multiplication of a and b = 3*4

                                                = 12

Division : (/) The result of division is the “quotient”

e.g. Division of 4 and 2 is = 4/2

                                           = 2.

so, the number of days bag can be used = 6/0.55

                                                                     = 10.90

So, the bag can be used for complete 10 days.

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If EF = 71, FD = 80, ED = 74, IG = 40, and HG = 37, find the perimeter
of AGHI. Round your answer to the nearest tenth if necessary.

Answers

The perimeter of the object is the sum of the lengths of all the sides

which is 302 units.

What is the perimeter?

Perimeter is the sum of the lengths of all the sides of a planar two-dimensional figure.

In the case of a circle, we call it perimeter circumference it is the distance around the circle.

Given, A figure has side lengths EF = 71, FD = 80, ED = 74, IG = 40, and

HG = 37.

Now the perimeter of this figure is the sum of the lengths of all the sides which is,

= (EF + FD + ED + IG + HG).

= (71 + 80 + 74 + 40 + 37).

= 302 units.

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if the average height of a male in the u.s. is 70 inches and the standard deviation of male heights is 3 inches, what is the probability that a randomly selected male will be between 70 and 73 inches? (assume a normal distribution.)

Answers

The probability of men whose height falls between 70 and 73 inches is  0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.

The standard deviation is a quantity that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

We are informed that the heights of men in the U.S are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. We need to determine the percent of men whose height falls between 70 and 73 inches. We would first evaluate the probability that the height of a randomly selected individual would fall between 70 and 73 inches;

This can be done in stat-crunch;

Click Stat, highlight on Calculators then click Normal

In the pop-up window that appears click Between

Enter the given values of mean and standard deviation; 70 and 3 respectively

Enter the values 70 and 73 in the next set of boxes in that order

Finally, click on compute;

Stat-Crunch returns a probability of 0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.

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Solve each equation by factoring. Check your answers. To start, factor the quadratic expression.
1.x²2 - x - 30 = 0
4. x – 5x =0
2. x² - 10x = -21
5. 10x 24 = x²
3.x²= 10x - 9
6. x² = -12x

Answers

the factor of the quadratic expression are:

1) x² - x - 30 = 0 : (x - 5)(x + 6) = 0

2) x² - 10x = -21 : (x - 7)(x + 3) = 0

3) x²= 10x - 9 : (x - 3)(x + 3) = 0

4) x – 5x =0 : x = 0

5) 10x - 24 = x² : (x - 6)(x - 4) = 0

6) x² = -12x : (x + 6)(x - 2) = 0

What is the factor of the quadratic expression?

Factorization of quadratic equations is the part of finding the roots of a quadratic equation. Factoring quadratic equations means converting the given quadratic expression into the product of two linear factors.

1) x² - x - 30 = 0

To factor this quadratic expression, we can use the method of finding the two integers that multiply to give us the constant term (-30) and add to give us the coefficient of the x term (-1). The two integers that fit this criterion are -6 and 5, so we can factor the expression as:

(x - 5)(x + 6) = 0

2) x² - 10x = -21

To factor this quadratic expression, we can use the method of finding the two integers that multiply to give us the constant term (-21) and add to give us the coefficient of the x term (-10). The two integers that fit these criteria are -7 and 3, so we can factor the expression as:

(x - 7)(x + 3) = 0

3) x²= 10x - 9

To factor this quadratic expression, we can use the method of finding the two integers that multiply to give us the constant term (-9) and add to give us the coefficient of the x term (10). The two integers that fit this criteria are -3 and 3, so we can factor the expression as:

(x - 3)(x + 3) = 0

4) x – 5x =0

To solve this equation, we can first combine like terms to get:

-4x = 0

Then, we can divide both sides by -4 to get:

x = 0

5) 10x - 24 = x²

To solve this equation, we can first move the x² term to the left side and the constant term to the right side to get:

x² - 10x + 24 = 0

To factor this quadratic expression, we can use the method of finding the two integers that multiply to give us the constant term (24) and add to give us the coefficient of the x term (-10). The two integers that fit this criteria are -6 and 4, so we can factor the expression as:

(x - 6)(x - 4) = 0

6) x² = -12x

To solve this equation, we can first move the constant term to the right side to get:

x² + 12x = 0

To factor this quadratic expression, we can use the method of finding the two integers that multiply to give us the coefficient of the x term (12) and add to give us 0. The two integers that fit this criteria are -6 and 2, so we can factor the expression as:

(x + 6)(x - 2) = 0

Hence, the factor of the quadratic expression are:

1) x² - x - 30 = 0 : (x - 5)(x + 6) = 0

2) x² - 10x = -21 : (x - 7)(x + 3) = 0

3) x²= 10x - 9 : (x - 3)(x + 3) = 0

4) x – 5x =0 : x = 0

5) 10x - 24 = x² : (x - 6)(x - 4) = 0

6) x² = -12x : (x + 6)(x - 2) = 0

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Santiago creates a playlist of Latin dance music. The playlist contains bachata, salsa, and mambo tracks, as shown in the table. Santiago puts the playlist on shuffle mode. What is the probability that the first track he hears is a salsa track?

Answers

Santiago creates a playlist of Latin dance music. The playlist contains bachata, salsa, and mambo tracks, as shown in the table. Santiago puts the playlist on shuffle mode. What is the probability that the first track he hears is a salsa track?

Answer:8/20

Step-by-step explanation:i did the quiz and it is correct

Find the table that follows this rule: multiply by 8 and add 5.
A.
Input 5 6 7 8 9 10
Output 40 48 56 64 72 80

B.
Input 5 6 7 8 9 10
Output 45 53 61 69 82 90

C.
Input 5 6 7 8 9 10
Output 45 53 61 59 67 75

D.
Input 5 6 7 8 9 10
Output 45 53 61 69 77 85

Answers

Answer:

D

Step-by-step explanation:

multiply by 8 and add 5.

so,

we need to do this for every unit value and see, if the result is the same as the listed output value.

5 -> 5×8 + 5 = 45

6 -> 6×8 + 5 = 53

7 -> 7×8 + 5 = 61

8 - > 8×8 + 5 = 69

9 -> 9×8 + 5 = 77

10 -> 10×8 + 5 = 85

so, D is the correct answer.

Shahina has 550g of apples and plenty of the other ingredients.
Can she make apple crumble for 6 people?
Explain how you got your answer.

By the way for 8 people it is:
700g of apple, 40g butter, 240g sugar and 180g flour

Answers

Shahina can make apple crumble for 6 people with 550g of apple

How to determine if she can make apple crumble for 6 people?

From the question, we have the following parameters that can be used in our computation:

For 8 people it is:

700g of apple, 40g butter, 240g sugar and 180g flour

This means that the grams of apple for 1 person is

Apple unit rate = 700g of apple/Number of people

Substitute the known values in the above equation, so, we have the following representation

Apple unit rate = 700g of apple/8

For 6 people, we have the following equation

Amount = Apple unit rate * Number of people

Substitute the known values in the above equation, so, we have the following representation

Amount = 6 * 700g of apple/8

Evaluate

Amount = 525g of apple

525g of apple is less than 550g of apple

Hence, she can make apple crumble for 6 people

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2 ^ (x + 3) * 3 ^ (x + 4) = 18

Answers

The value of the variable x is -2

What is an algebraic expression?

An algebraic expression can be defined as an expression made up of terms, variables, coefficient, factors and constants.

These expressions are also made up of arithmetic or mathematical operations, which includes;

SubtractionAdditionMultiplicationDivisionBracketParentheses, etc

From the information given, we have;

2 ^ (x + 3) * 3 ^ (x + 4) = 18

Now, let's find the factors of 18 in 2's and 3's, we have;

2 ^ (x + 3) * 3 ^ (x + 4) = 2^1 × 3^ 2

Collect the common factors, we get;

x+ 3 + x + 4 = 1 + 2

collect like terms

2x = 3 - 7

2x = -4

make 'x' the subject of formula

x = - 2

Hence, the value is -2

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one leg of a right triangle has length 24 inches; the hypotenuse is 26.7 inches. what is the length of the other leg of the triangle?

Answers

The length of the other leg of the triangle is 11.7 inches

Now, According to the question:

We have the right triangle

The length of the right triangle is 24 inches

The length of the hypotenuse is 26.7 inches

To find the length of the other leg of the triangle

We know that the Pythagorean theorem.

The Pythagorean theorem states that the sum of the squares of the two legs is equal to the hypotenuse squared.

Let the length of the other leg of the triangle be 'x'

According to the information:

[tex]24^2 + x^2 = 26.7^2[/tex]

576 + [tex]x^{2}[/tex] = 712.89

[tex]x^{2}[/tex] = 712.89 - 576

[tex]x^{2}[/tex] = 136.89

x = [tex]\sqrt{136.89}[/tex]

x = 11.7

Hence, The length of the other leg of the triangle is 11.7 inches.

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Please help. Thanks!! <3 :)
Use a coordinate proof to show that the diagonals of a rectangle are congruent

I will mark 5 stars!!

Answers

The proof of the diagonals of the rectangle are congruent, is given.

What is congruent?

When two figures or objects in geometry have the same forms, sizes, or are mirror images of one another, they are said to be congruent.

We have the parallelogram SPQR.

And SQ is the diagonal.

d(S,P) = √(0-0)² + √(b-0)²

d(S,P) = √b²

d(S,P) = b

So, distance SP = b

d(P, Q) = √(a-0)²+ √(b-b)²

d(P, Q) = √a²

d(P, Q) = a

So, distance of  PQ = a

SQ = c²= a² + b²

SQ = √(a² + b²)

Similarly, for the other vertices.

Therefore, The diagonals are congruent.

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Lily convinced her parents to have her birthday party at Flyzone Trampoline park. As soon as she gets there , lily spends 3/4 of an hour eating birthday cake with her friends in all , lily spends 2 1/4hours at Fly zone .

Answers

Answer: 1.5 hours

Step-by-step explanation:

I assume you’re trying to find how much time she is doing other activity.

2 1/4 - 3/4 is equal to:

2.25-0.75

That equals 1.5.

Please help me with this

Answers

the value of y is 3 when the value of x is 8.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

Given y is inversely proportional to x

When x=3, y=1/x = 8

So when x = 8 the value of y =3

Hence the value of y is 3 when the value of x is 8.

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HELP ME PLEASE AND ONLY RIGHT ANSWERS!

The length of a cell phone is 1.4 inches and the width is 3.4 inches. The company making the cell phone wants to make a new version whose length will be 1.54 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer: 3.74 inches.

Step-by-step explanation: We can use the following to help us solve this proportion:

1.4 / 1.54 = 3.4 / x (where x is the unknown value that we are trying to solve)

1.54 / 1.4 = 1.1

x / 3.4 = 1.1

The only number that can make the following above true is 3.74, so that is your answer.

Let me know if this is right! :)

Please Hurry ASAP!!!!!​

Answers

The values of of the functions f(x)=3x+2 and g(x)=x²-x are: (14) 14, (15) 26, (16) -4, (17) 2, (18)12, (19) 42 (20)7, (21)2, (22)2, (23)5 (24) 3x+5 (25) 9b²-3b

How to determine the values of the functions?

We should know that in each of the functions, we have to substitute the given values

The given functions are

f(x)=3x+2

g(x)=x²-x

(14) f(x)=3x+2

Substitute for x

f(4)=3*4+2

f(x)=12+2=14

(15) f(8)=3x+2

f(8)=3*8+2

Substitute for x

f(x)=24+2 = 26

(16) f(-2)=3*-2+2

Substitute for x

f(-2)=-6+2

f(x)=-4

(17) g(2)=2²-2

Substitute for x

g(x)=4-2

g(x)=2

(18) g(-3)=3²-(-3)

Substitute for x

g(x)=9+3 = 12

(19)g(-6)=-6²-(-6)

g(x)=36+6 = 42

(20) f(2)+1

Substitute for x

=2*3+1

=6+1

=7

(21)  f(1)-1

3*1-1 = 2

(22) g(2) -2

2²-2

4-2=2

23 = g(-1)+4

-1²+4

1+5=5

(24) f(x+1)

Substitute for x

= 3(x+1)+2

=3x+3+2

=3x+5

(25) g(3b)

Substitute for x

=(3b)²-3b

9b²-3b

In conclusion, the values of the values of of the functions f(x)=3x+2 and g(x)=x²-x are: (14) 14, (15) 26, (16) -4, (17) 2, (18)12, (19) 42 (20)7, (21)2, (22)2, (23)5 (24) 3x+5 (25) 9b²-3b

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I need help with this please

Answers

The asymptotes for the given function are y = 1 and x = 4 respectively.

What is an asymptote?

An asymptote to any function can be defined as a line that touches the graph of the function as the coordinates of the graph approaches infinity.

[tex]\lim_{x \to \infty}[/tex]The given function is R(x) = (x² - 25)/(x² - 8x + 16)

Since, the given function is not defined at  x² - 8x + 16 = 0.

The values of x can be found as below,

x² - 8x + 16 = 0

⇒ (x - 4)² = 0

⇒ x = 4

Now, [tex]\lim_{x \to \ 4}} R(x)[/tex] = [tex]\lim_{x \to \ 4}[/tex] (x² - 25)/(x² - 8x + 16)

                              = -9/0

                              = -∞

Hence, at x = 4 the function has a y asymptote.

Again, in order to find x asymptotes compute the following limit,

[tex]\lim_{x \to \infty} R(x)[/tex] = [tex]\lim_{x \to \infty}[/tex] (x² - 25)/(x² - 8x + 16)

Apply L' Hospital rule to get,

[tex]\lim_{x \to \infty}[/tex] (x² - 25)/(x² - 8x + 16) =  [tex]\lim_{x \to \infty}[/tex] 2x/ (2x - 8)

⇒ [tex]\lim_{x \to \infty}[/tex] 2/2 = 1

Thus, the x asymptote of the function is at y = 1.

Hence, the horizontal and vertical asymptotes of the given function are  y = 1 and x = 4 respectively.

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Question 2
What is the length of the line segment with endpoints P(2, 1,-4) and Q(-1,5,3)?

Answers

The length of the line segment with endpoints P(2, 1, -4) and Q(-1, 5, 3) is 8.60 units

How to find the length of a line segment?

To find the length of a line segment with endpoints P(x1, y1, z1) and Q(x2, y2, z2) in three-dimensional space, we can use the distance formula:

length = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)

Substituting the coordinates of P and Q into the formula, we get:

length = √((-1 - 2))²  + (5 - 1))²  + (3 - (-4)))² )

          = √((-3))²  + (4))²  + (7))² )

         = √(9 + 16 + 49)

         = √(74)

        = 8.60 units

Therefore, the length of the line segment is 8.60 units

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suppose a sample of a radioactive substance weighs 32 mg. one year later, the sample weighs 25.5 mg. what is the half-life of this substance? (round your answer to two decimal places.)

Answers

Solving this equation gives us a half-life of approximately 1.36 years. Rounded to two decimal places, the half-life of this substance is 1.36 years.

What is half life of the substance?

The half-life of a substance is the amount of time it takes for half of the atoms in a sample of the substance to decay.

What is formula to calculate half-life?

To find the half-life, you can use the following formula:

half-life = (time) * ln(2) / ln(initial mass / final mass)

half-life = (1 year) * ln(2) / ln(32 mg / 25.5 mg)

Solving this equation gives us a half-life of approximately 1.36 years.

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The graph of a relation is shown.

A coordinate plane with a straight line. The line starts in the lower left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin, and then passes through the x-axis slightly to the right of the origin.
Which of these values could be the slope of the line? Select two options.

–2

0

3
$0.67 per book
$1.07 per book
$1.50 per book

Answers

The possible slope of the line is (c) 3

How to determine the possible slope of the line

From the question, we have the following parameters that can be used in our computation:

Start position = lower leftOther location = upper right quadrant

This means that the line is ascending from left to right in which case, the slope of the line is positive.

So, the possible values of the slope include the set of numbers greater than 0.

From the options, we have (c) 3

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angle 1 and angle two are vertical angles. the measure of angle 1 = 2x+25 and the measure of angle 2+3x-10. find the measure of angle 2

Answers

Answer:

ty

Step-by-step explanation:

The table shows the production budgets and worldwide gross revenues of eight 2018 films. Which statement gives the correct value and interpretation of r?

A. As budgets increased, the gross revenue increased; r = 0.38.
B. For every budget increase of $1 billion, gross revenue increased $0.38 billion; r = 0.38.
C. As budgets increased, the gross revenue increased; r = 0.62.
D. For every budget increase of $1 billion, gross revenue increased $0.62 billion; r = 0.62.

Answers

The correct option regarding the correlation coefficient of the data-set is given as follows:

C. As budgets increased, the gross revenue increased; r = 0.62.

What is the correlation coefficient and how to obtain it?

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

negative coefficient: inverse relationship.positive coefficient: direct relationship.absolute value greater than 0.6: strong relationship.absolute value less than 0.6: weak relationship.

The coefficient is obtained with a correlation coefficient calculator, inserting the points of the data-set into the calculator.

From the table given by the image, the points are given as follows:

(0.3, 2.05), (0.25, 0.39), (0.2, 1.35), (0.2, 1.24), (0.2, 0.63), (0.18, 0.79), (0.18, 0.53), (0.18, 0.35).

Inserting these points into a calculator, the value of the coefficient is given as follows:

r = 0.62.

Meaning that there is a positive relation amount the variables, and option C is correct.

Option D would be correct if 0.62 was the slope of the line of best fit, hence this is not the case.

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Answer:

answer is attached.

Step-by-step explanation:

help due a cupple days ago!!!!!!

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F (second option) (need 20 characters to send answer)
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