Which table shows the amount of a substance decaying at an exponential rate?

The sequence as shown is a geometric sequence.

We know that the geometric sequence is the kind of sequence in which there is the common ratio. We can tell that for the geometric sequence we have;

U(n) = Tr^n-1

Where T is the first term and then r is the common ration while n is the number of terms.

Given the fact that we have the terms in the sequence as 81, 27, 9, 3, 1. We can see that the common ratio of the sequence is given as;

r =  T2/T1 = 27/81

1/3

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Answer:

(-6x-2)(2x+4)

-12x+24x-4x+6

=8x+6

The mid-point of segment AB is X. Ray XY is perpendicular to segment AB. Point L is on ray XY. By congruence of triangle, statements (C) point L is equidistant from point A and B.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.

Given that, The mid-point of segment AB is X. Ray XY is perpendicular to segment AB. Point L is on ray XY.

Draw the line segment AL and BL.

In Δ AXL and Δ BXL

AX is equal to BX

XL is common in both Δ

∠AXL is equal to ∠BXL because both are right angle.

So, Δ AXL ≅ Δ BXL

So AL = BL

So we say that point L is equidistant from point A and B.

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Answer:

-5 <= x < 3

Step-by-step explanation:

The left end of the inequality is -5 with a closed circle so it has an equal sign with it

The right end of the inequality is 3 with an open circle so it will not have an equals sign.

The line is in the middle of the points so the variable is in the middle.

-5 <= x < 3

Answer:

[tex] - 5 \leqslant y < 3[/tex]

Allow flyers using racial slurs is not one of the EDI initiatives discussed in the case.

The EDI initiatives discussed in the case include creating an inclusive community where all students thrive, establishing goals to retain underrepresented groups, and implementing a 12-week training program. To create an inclusive community, the school administration must first determine the current state of the campus environment. This can be done through surveys and focus groups, which allow the administration to identify what areas need improvement and how best to address them. Establishing goals to retain underrepresented groups involves setting specific goals for the recruitment and retaining of underrepresented groups, such as increasing the number of faculty or students from underrepresented groups. Finally, implementing a 12-week training program requires developing an educational program to teach students about diversity, equity, and inclusion, and providing the necessary resources to ensure that these lessons are successfully implemented.

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Frank's expected utility of wealth function if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)). If Frank accepts the bet, the probability p must be greater than or equal to 0.8.

a) Frank's expected utility of wealth if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000))

b) If Frank rejects the bet, his utility of wealth will be U(w) = ln($1,000,000)

c) U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000)

p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000) - $1,000,000

p(ln($100,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000

p(ln($100,000) - ln($1,000,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000

p(ln($100,000/$1,000,000)) + (1-p)(ln($900,000/$1,000,000)) ≥ -$1,000,000

p(ln(0.1)) + (1-p)(ln(0.9)) ≥ -$1,000,000

p(ln(0.1)) ≥ -$1,000,000 - (1-p)(ln(0.9))

p ≥ (-$1,000,000 - (1-p)(ln(0.9)))/(ln(0.1))

p ≥ -$1,000,000/(ln(0.1)) - (1-p)(ln(0.9))/ln(0.1)

p ≥ 0.8

d) If Frank's utility of wealth function was less curved, i.e. closer to a straight line, the bound from (c) would be larger. This is because, with a less curved utility of wealth function, Frank would be less risk-averse and therefore more likely to accept the bet.

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Answer: Noted

Step-by-step explanation: do not p$ss off boss

The measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that perimeter of a triangle is 45 feet.

ratio of the lengths of the three sides is 2:3:4

We have to find the measure of each side.

Let us consider the side lengths are 2x, 3x, and 4x.

2x+3x+4x=45

Add the like terms

9x=45

Divide both sides by 9

x=5

Side lengths are 2x = 2×5 = 10 feet,

3x = 3× 5 = 15 feet, and 4x = 4 ×5 = 20 feet.

Hence, the measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

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Answer:

Step-by-step explanation:

You want an equation and its solution for the scenario in which Kimberly scored 35.08 points in four gymnastic events, the same number in each event. You want to know her score in each event.

If p represents the number of points that Kimberly scored in each event, her point total is ...

  4p = 35.08

Dividing by the coefficient of p gives the solution:

  p = 35.08/4 = 8.77

Kimberly scored 8.77 points in each event.

The expression 1,152 ÷ 4 determines the number of file folders in each box.

What is expression ?

Expression  is a sentence with a minimum of two numbers or variables and at least one operation. This operation can be addition, subtraction, multiplication, or division

The first step in finding out how many file folders were in each box is to perform the division 1,152 ÷ 4.

This division gives the number of file folders in each box by dividing the total number of file folders (1,152) by the number of boxes (4).

The expression 1,152 ÷ 4 determines the number of file folders in each box.

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Answer:

To obtain the fraction first we need to obtained the number. The number can be identified by using algebraic expression.

The fraction is .

Given:

The given fraction is .

Let the numerator is  .

The numerator is 18 less than denominator is  , the fraction is .

Write the algebraic expression as per question to find the number.

Calculate the fraction.

Thus, the fraction is  .

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Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

assume top a, bottom b

so a/b =2/5

so a=2/5b

b=a+18 = 2/5b+18

so 3/5b = 18

b = 30

a=12

[tex]5x^2-x+9[/tex] when x is equal to 3

Substitute for x with the given value(3):

[tex]5(3)^2-3+9[/tex]

[tex]5(9)-3+9[/tex]

[tex]45-3+9[/tex]

[tex]=\boxed{51}[/tex]

Answer:

it equals 231

Step-by-step explanation:

Answer:

answer is sister's.

Step-by-step explanation:

sisters mean more than one sister.

sisterses isn't a word.

sisters' also isn't a word.

sister's is a word and it means that she has possession of something or that she owns something.

The mean of the data-set is given as follows:

E(X) = 1.8.

The standard deviation of the data-set is given as follows:

S(X) = 1.

The mean is given by the sum of all the outcomes multiplied by their respective probabilities, hence:

E(X) = 0 x 0.04 + 1 x 0.43 + 2 x 0.29 + 3 x 0.18 + 4 x 0.05 + 5 x 0.01

E(X) = 1.8.

The standard deviation is given by the square root of the sum of the difference squared between each outcome and the mean, multiplied by their respective probabilities, hence:

S(X) = sqrt[(0 - 1.8)² x 0.04 + (1 - 1.8)² x 0.43 + (2 - 1.8)² x 0.29 + (3 - 1.8)² x 0.18 + (4 - 1.8)² x 0.05 + (5 - 1.8)² x 0.01]

S(X) = 1.

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The table that represents f⁻¹(x) in the attached figure

A relation is a function if it has only One y-value for each x-value.

we know that, If (x,y) is a solution of f(x)

then (y,x) is a solution of f⁻¹(x)

In this problem, the ordered pairs in the table that represent f(x) are

(-2,11),(-1,8),(0,5),(1,2),(2,-1)

therefore, The ordered pairs that represent f⁻¹(x) are

(11,-2),(8,-1),(5,0),(2,1),(-1,2)

Hence, the table that represents f⁻¹(x) in the attached figure

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The interest will he be paid in the first six years is $360.

Simple interest is the cost of borrowing money that does not take compounding into consideration. In other words, just the principal is affected by simple interest.

Formula: (P x R x T)/100

Given:

P= $3000

R= 2%

T = 6 years

Using Simple interest

= (P x R x T)/100

= ( 3000 x 2 x 6)/100

= 30 x 2 x 6

= $360

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The area of the composite figure is 54 in².

The perimeter of the composite figure is 35 in.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The composite figure has 3 shapes.

Triangle and 2 rectangles.

Now,

Base = 3 in

Height = 4 in

Area of the triangle.

= 1/2 x base x height

= 1/2 x 3 x 4

= 6 in²

Now,

Length = 5 in

Width = 4 in

Area of the rectangle.

= length x width

= 5 x 4

= 20 in²

Now,

Length = 4 in

Width = 7 in

Area of the rectangle.

= length x width

= 4 x 7

= 28 in²

Now,

Area of the composite figure.

= 6 + 20 + 28

= 54 in²

Now,

The perimeter of the composite figure.

= 12 + 7 + 4 + 3 + 5 + 4

= 35 in

Thus,

The area is 54 in².

The perimeter is 35 in.

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Converting the raw data into a 'frequency' distribution is often a first step in making the data more manageable and easier to assess.

A scatterplot is the most helpful graph for demonstrating the connection between two quantitative variables.

Data are listed in rising or decreasing numerical order in a raw data listing. The stem-and-leaf presentation gives more depth than the frequency distribution since it may explain individual data values as well as indicate how many are in each group, or stem.

Bins should have the same width and be mutually exclusive and exhaustive.

A scattergram is a graphical representation of the linkages or correlations that exist between two numerical variables (or covariables), which are shown as points (or dots) for each pair of scores. A scattergraph depicts the intensity and direction of the covariables' connection.

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Answer:

ANSWER IS B

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

1+1+1+1+1+1+1+1+1 x 2 x 2= 12

Answer:

12

Step-by-step explanation:

pls tell me if wrong have a good day/night<3

When collect data, we can compare and contrast results. based on the results, Ammonia has the strongest base.

The following are some of the characteristics of ammonia:

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The area of the triangle is approximately 33.8 square units.

Heron's formula is applicable to all types of triangles. Heron's formula is used to compute the area of a triangle, and every sort of triangle in the world has an area.

So, if the three sides of a triangle are known, Heron's formula may be used to directly determine the area.

We can use the Law of Cosines to find the third side of the triangle, then use Heron's formula to find the area.

First, we find the third side, c:

c^2 = a^2 + b^2 - 2ab * cos(C)

c^2 = 2^2 + 6^2 - 2 * 2 * 6 * cos(127)

c = sqrt(40 - 24 * cos(127))

Next, we use Heron's formula to find the area of the triangle:

s = (a + b + c) / 2

area = sqrt(s * (s-a) * (s-b) * (s-c))

area = sqrt((7.82 + 3) * (7.82 - 2) * (7.82 - 6) * (3))

area = sqrt(45.82 * 5.82 * 1.82 * 3)

area = sqrt(1138.3916)

area = 33.75

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The value of j in the triangle is 8.66 feet

The complete question is added as an attachment

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

The right triangle

The value of j can be calculated using the following

tan(60) = j/5

So, we have the following representation

j = 5 * tan(60)

Evaluate

j = 5√3

This gives

j = 8.66

Hence, the value is 8.66 feet

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Answer:

21.62%

Step-by-step explanation:

trucks needed maintenance = 8

truck's pool = 37

%age of the trucks needed maintenance

= (8 / 37) * 100

= 21.62%

Answer:

Step-by-step explanation:

25 because when you take 2x times 3x +1

Answer:

Step-by-step explanation:

5h + 3h + 4h = R288

12h = R288

h = R24

Josh, 5 hours at R24/hour = R120

Katleho, 3 hours at R24/hour = R72

Pevashnee, 4 hours at R24/hour = R96

Check your work: 120 + 72 + 96 = 288

The probability of x = 1 is 0.2,x = 2 is 0.3, x = 3 is 0.5

Let X be a random variable with the following probability mass function:

f(x) =

x = 1: 0.2

x = 2: 0.3

x = 3: 0.5

This is indeed a probability mass function because the values of f(x) are all greater than or equal to 0, and the sum of the values of f(x) is equal to

To calculate the probability of x = 1, we can use the formula for probability mass functions: P(X = x) = f(x).

Therefore, the probability of x = 1 is 0.2.

To calculate the probability of x = 2, we can use the same formula: P(X = x) = f(x).

Therefore, the probability of x = 2 is 0.3.

To calculate the probability of x = 3, we can use the same formula: P(X = x) = f(x).

Therefore, the probability of x = 3 is 0.5.

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complete question

What is the probability of x = 1, x = 2, and x = 3?

Answer:

Step-by-step explanation:

The expression √3 × √5 × √6​ is equivalent to the expression 3 × √10. Then the correct option is B.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ √3 × √5 × √6​

Simplify the expression, then the value of the expression will be given as,

⇒ √3 × √5 × √(3 ×2)

⇒ √3 × √5 × √3 × √2

⇒ 3 × √(5 × 2)

⇒ 3 × √10

The articulation √3 × √5 × √6 is comparable to the articulation 3 × √10. Then, at that point, the right choice is B.

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Answer: 3√2

Step-by-step explanation: I just took the test

Answer:

1.35

Step-by-step explanation:

10.80 divided by 8

n = 1.35