A triangle on a coordinate plane is translated according to the rule T-8, 4(x, y). Which is another way to write this rule?
(x, y)
(x + 4, y-8)
(x-4, y-8)
O(x, y)
O (x,y) - (x-8, y + 4)
O(x, y) (x+8, y-4)

Given the dataset 136, 141, 146, 149, 153

The mean is the total number of datasets divided by the sum of the datasets.

The average of a set of values is referred to as the mean. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all methods for calculating the mean.

The mean of a dataset (also known as the arithmetic mean, as opposed to the geometric mean) is the total number of values divided by the sum of all values. It is the most commonly used measure of central tendency and is also known as the "average."

Therefore,

a)  [tex]$&\text { Mean }=\sum X i / N \\[/tex]

[tex]$&\bar{x}=\frac{136+ 141+146+ 149+ 153}{5} \\[/tex]

[tex]$&\bar{x}=\frac{725}{5} \\[/tex]

[tex]$&\bar{x}=145[/tex]

b) The formula for calculating the deviation from the mean for each value is expressed as  [tex]$X i-\bar{X}[/tex] where;

Xi is value of each item

x bar is the mean = 145

Mean deviation of 136 = 136-145 = -9

Mean deviation of 141= 141-145 = -4

Mean deviation of 146= 146-145 = 1

Mean deviation of 149= 149-145 = 4

Mean deviation of 153= 153-145 = 8

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The time required to the nearest day to make the deposit of $1000 to grow to $1 million at 3% compounded continuously is 84044 days.

In the question ,

it is given that

the deposit ( principle amount P) = $1000

the final amount (A) = 1 million = $1000000

the rate of interest (r) = 3% = 0.03

let the time taken to make $1000 to 1 million be " t ".

The continuous compounding interest is given by  the formula

[tex]A = P\times e^{r t}[/tex]

where A is the final amount

P is the principle amount

r is the rate of interest

t is the time taken

Substituting the values of A , P , r and t from above , we get

1000000 = 1000×[tex]e^{0.03*t}[/tex]

10000000/1000 = [tex]e^{0.03t}[/tex]

1000 = [tex]e^{0.03t}[/tex]

taking ln on both the sides

㏑(1000) = ㏑([tex]e^{0.03t}[/tex])

㏑(1000) = (0.03t)*㏑(e)

6.9077 = (0.03t)*1           .... as ln(e) = 1 and ln(1000)=6.9077

6.9077 = 0.03*t

t = 6.907755/0.03

t = 230.2585

So , time required is 230.2585 years .

to convert into days , we multiply by 365.

time ( in days) = 230.2585×365

= 84044.3525

≈ 84044 days

Therefore , the time required to make the deposit of $1000 to grow to $1 million at 3% compounded continuously is 84044 days .

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The equation that is false based on the solution set is D. −32 = 2(3p − 6)

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

6 = 2y − 4

This will be:

2y - 4

2(5) - 4

10 - 4 = 6

4(b + 5) = 40

4(5 + 5)

4(10) = 40

one fifth times x plus 16 equals 17

1/5x + 16

1/5(5) + 16

1 + 16 = 17

Therefore, the last option doesn't fit in.

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Answer:D. −32 = 2(3p − 6)

Step-by-step explanation:

The value fo the expression - [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 as a mixed number is 4 1/6.

Consider the expression,

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6

By using the BODMAS rule, we will first solve the inner parenthesis.

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 9/5 ÷ 0.36 ] - 5/6

Now dividing the terms in the inner parenthesis {}.

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 1.8  ÷ 0.36 ] - 5/6

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 5 ] - 5/6

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 5 - 5/6

By the BODMAS rule subtracting the remaining terms.

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 5/1 - 5/6

The LCM of 1 and 6 is 6.

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = ( 30 - 5 )/6

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 25/6

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 4 1/6

The value of the expression - [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 is 4 1/6.

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The probabilities for this problem are given as follows:

a) Dolphin partaking in social activities: 0.328 = 32.8%.

b) Dolphin group is around in the afternoon: 0.122 = 12.2%.

c) Dolphin partaking in social activities given that that is around in the afternoon: 0.391 = 39.1%.

d) Dolphin group is around in the afternoon given that it is partaking in social activities: 0.145 = 14.5%.

e) Dolphin group is around in the morning given that it is partaking in social activities: 0.613 = 61.3%.

f) Dolphin group is around in the morning and is partaking in social activities: 0.201 = 20.1%.

g) Dolphin group is around in the morning or is partaking in social activities: 0.508 = 50.8%.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

Hence, for each item in the problem, we have to identify the number of desired outcomes and the number of total outcomes to find the probability.

The outcomes are as follows:

Hence the probability is:

p = 62/189 = 0.328 = 32.8%.

The outcomes are as follows:

Hence the probability is:

p = 23/189 = 0.122 = 12.2%.

The outcomes are as follows:

Hence the probability is:

p = 9/23 = 0.391 = 39.1%.

The outcomes are as follows:

Hence the probability is:

p = 9/62 = 0.145 = 14.5%.

The outcomes are as follows:

Hence the probability is:

p = 38/62 = 0.613 = 61.3%.

The outcomes are as follows:

Hence the probability is:

p = 38/189 = 0.201 = 20.1%.

The outcomes are as follows:

Hence the probability is:

p = 96/189 = 0.508 = 50.8%.

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Given: A and B are independent events with P(A) = 0.05 and P(B) =0 .65.

Required: To find P(A | B).

Explanation: For independent events A and B we have

Hence,

which gives,

Final Answer: Option D is correct.

A sheet of 10 tickets at the carnival costs $8. If you want to buy 35 tickets, how much would that cost?

a) Write a proportion to represent the situation.

b) Solve the proportion.

Using a proportion

10/8=35/x

solve for x

Multiply in cross

10*x=8*35

x=(8*35)/10

x=$28

therefore

the answer is

The expression in its simplest form cannot be simplified or factorized any further.

From the options given, answer option A, which is

Cannot be factored any further.

This expression is in its simplest form.

The others, that is options B, C and D can be simplified further.

The answer is option A

Step 1

Draw the triangle DEF

Step 2

State the formula for the distance between two points

Step 3

Find the length of DE

Step 3

Find the length of EF

Step 4

Find the length of DF

Step 5

Find out what type of triangle it is.

An isosceles triangle is a triangle that has two sides of equal length.

Since triangle DEF has lines DF and DE to be equal in length, we can conclude that triangle DEF is an Isosceles triangle

The mode of a data set is the number that repeats the most.

In this case, we can see that teh value $14,950 is twice.

Then the correct answer is option A. The mode is $14,950

Answer:

1.no, because 840 divide by 70 equals 12 and 12 does not equal 14

2.yes, because 480 divided by 30 does equal 16 and 16=16

3.yes, because 640 divided by 40 does equal 16 and 16=16

4.no, because 910 divide by 30 equals 30.333 and 30.333 does not equal 31

Step-by-step explanation: Hope this helps

Answer:yes no yes no

Step-by-step explanation:

im to lazy to add step my step but i 100% correct

The statement about the sequence that is true is that it is an arithmetic sequence

The sequence is given as

-9,21,51,81

Test for arithmetic sequence:

An arithmetic sequence is any seqeunce that has a common difference

So, we start by checking if the sequence has a common difference

This is represented as

d = 21 - (-9) = 30

d = 51 - 21 = 30

d = 81 - 51 = 30

The sequence -10, -3, -10, -3, -10, ... has a common difference

This is so because the difference between consecutive terms of the sequence is the same i.e. 30

Hence, the sequence is an arithmetic sequence

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The value of π is given and it is approximately 3.1416

Additionally, 3 1/4 is equivalent to:

So, the largest number is D. 17

After using exponent and power we will get [tex]\frac{1}{16}[/tex] that means the correct option is C.

Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.

Given that,

[tex](\frac{(\frac{1}{4})^{7} }{(\frac{1}{4})^{6} })^{2}[/tex]

In the numerator [tex]\frac{1}{4}[/tex] is 7 times and in the denominator  [tex]\frac{1}{4}[/tex] is 6 times.

By using the rule of division in exponent and power

[tex]\frac{(a)^{m}}{(a)^{n}} = (a)^{m-n}[/tex]

[tex]((\frac{1}{4})^{7-6})^{2}[/tex]

[tex](\frac{1}{4})^{2}[/tex]

[tex]\frac{1}{16}[/tex]

Hence, Option c is correct.

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The coordinates along the directed line segment is (7, -8)

This is a concept that involves partitioning a line into proportional ratios

The points are given as:

A  = (5, -4)

B = (8, -10)

The ratio on the segment can be represented as;

m : n = 2 : 1

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

So, we have:

Point  = 1/(2 + 1) * (2 * 8 + 1 * 5, 2 * -10 + 1 * -4)

Evaluate

Point  = 1/3* (21, -24)

Evaluate the products

Point  = (7, -8)

Hence, the coordinates of the point is (7, -8)

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Answer:

Full Answer:(7,−8)

​

Step-by-step explanation:  �

Answer:

y = 6x - 9

Step-by-step explanation:

equation of line y = mx + b

lets find the slope m = (y2-y1)/(x2-x1):

m = ((-15)-9)/((-1)-3)

m = 6

let's plug this into our equation:

y = 6x + b

now we can plug in a point, I choose (3,9)

9 = 6(3) + b

b = -9

lets plug everything into our equation

y = 6x - 9

Answer:

Step-by-step explanation:

P=Po(1+(r/n)^nt,

t=time in years

r=rate

n=number of compoundings per year

=17000(1+.046)^12, round at the end = $29162.79

Annually = 15000 (1+(.046/12))^144 = $29493.15

Monthly = 15000 (1+.046/365))^(365*12) = $29523.26

Daily = Poe^(rt)=Poe^(.552) = $29524.29

interest earned is each of the above minus $15000 that was the principal.

The inequality that corresponds to the following expression, "A is less than 9" is:

Graph A shows  a function and its inverse A. B. C. D.

An output is produced by a function after it accepts inputs, applies specific operations to the values, and produces an output. The inverse function works, agrees with the resultant, and returns to the original function An inverse relationship is created when an independent variable is switched out for a variable that depends on a given equation; an inverse relationship may or may not be a function.

Inverse functions, indicated by f-1(x).on, are those in which the inverse of a function is that function itself.

It is common practice to swap the coordinates x and y when calculating an inverse. This new inverse is not necessarily a function, but it is a relation.

To guarantee that the inverse function is also a function, the initial function must be a one-to-one function.

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you. aren't. alone.......

1) To find the mean of this data set, we need to add them up and divide it by the number of data points.

2) So let's write them down:

12, 17,16,10,20,13,14,14,12,12,19,18

And that is the answer.

The (-3,0) is on x- axis, (-2,-3) is on third quadrant, (0,4) is on y- axis, (-1,2) is on second quadrant, (6,-2) is  on fourth quadrant, (-5,-6) on third quadrant.

What is quadrant?

The quadrants on a graph are the four parts of a 2D Cartesian plane. Each quadrant is an infinite region, and adjacent quadrants meet on half of an axis (the positive or negative half of the x or y axis).

In first quadrant all the values are positive, in second quadrant x co-ordinate is negative and y is positive, on third quadrant both values are negative, and in fourth quadrant, y co-ordinate is negative and y is positive,

when the value of x co-ordinate is zero then value lies on y-axis

when the value of y co-ordinate is zero, the point lies on x -axis.
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Given the expression:

notice that both coefficients are divisible by 7, then, we can factor the expression like this:

(A) The equation 6x + 2y = - 12 in slope intercept form is y = - 3x - 6

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.

Consider the equation,

6x + 2y = - 12

The equation of a line in slope intercept form is given as:

y = mx + b where m is the slope and b is the y-intercept.

Now,

6x + 2y = - 12

Subtracting 6x from each side of the equation,

6x + 2y - 6x = - 12 - 6x

2y = - 12 - 6x

Dividing each side of the equation by 2,

y = - 3x - 6

Comparing the equation with y = mx + b.

m = - 3 and b = - 6

Therefore, the equation in slope intercept form is y = - 3x - 6.

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The total cost of the television with sales tax included is $ 845.81

What is a percentage and how do we calculate it?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number.
Mathematically, Percentage formula = (Value/Total value) × 100

Given, the listed price of the television = $ 784.98
Percentage value of sales tax on purchase = 7.75
Using the mathematical formula in the above literature, we get
7.75 = (Value/784.98) × 100 ⇒ Value = (7.75*784.98)/100 = 60.83
Thus, total cost of the television will be:
Listed price + Value = $(784.98 + 60.83) = $ 845.81
Therefore, the total cost of the television with sales tax included is
$ 845.81

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You have the following information:

m∠FCD = x + 41

m∠BCF = x + 78

m∠BCD = 95°

In order to find the value of x, you consider that the sum of the measure of angles ∠FCD and ∠BCF is equal to the measure of angle ∠BCD.

Thus, you have:

m∠FCD + m∠BCF = m∠BCD you replace by the given expressions

(x + 41) + (x + 78) = 95 you eliminate parenthesis

x + 41 + x + 78 = 95 simplify similar terms

x + x + 41 + 78 = 95

2x + 119 = 95 subtract 119 both sides

2x = 95 - 119

2x = -24 divide by 2 both sides

x = -24/2

x = -12

Hence, the value of x is - 12

The most appropriate choice for subtraction will be given by -

Chen hiked 19 miles in the first week

What is subtraction?

Subtraction is used to find the difference between two numbers. It is also used for taking one number from the other. The larger number is called minuend and the smaller number is called subtrehend.

Total distance hiked by Chen = 18 miles

Distance hiked by Chen in second week = 37 miles

Distance hiked by Chen in the first week = 37 - 18

                                                                     = 19 miles

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We are told that Dontax bought the stereo on a sale of 20% off, meaning he will only have to pay 100% -20% = 80% of the price.

Now, 80% of $199 is

Hence the amount of money Dontay saved is

Which is our answer!