11. Find the area of the following polygon.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

(2, -5) becomes (7, -2)

Step-by-step explanation:

We start with (2, -5).  Translating this point 5 units to the left results in the new  x-coordinate 2 + 5, or 7; translating (7, -5) 3 units up results in the new y-coordinate -5 + 3, or -2:

start:  (2, -5)

finish: (7, -2)

Answer:

Parallel lines: Line B and C

Perpendicular lines: Line A and B; Line A and C

Step-by-step explanation:

To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.

LINE A

Substituting the first line into the formula, we will get...

(2 - 5)/(0 -(-4))

-3/4

LINE B

Substituting the second line's points into the formula we will get...

(2 - 6)/(3 - 6)

-4/-3

4/3

LINE C

Substituting the third line's points into the formula we will get...

(3 -(-1)/(0 -(-3))

4/3

So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.

And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.

Therefore...

Parallel lines: Line B and C

Perpendicular lines: Line A and B; Line A and C

In the circle if  ∠BAD is 106 degrees then the measure of arc DE is 74 degrees

In the circle the measure of ∠BAD is 106 degrees

We have to find the measure of the arc DE

∠BAD is equal to ∠CEA because these are vertical angles

106+106=212 degrees

Now let us find the measure of ∠DAE

212 degrees +∠DAE + ∠ABC = 360

212 degrees+∠DAE+∠DAE=360 (∠DAE =∠ABC)

212 degrees+2∠DAE =360

2∠DAE  = 360-212

2∠DAE  = 148

Divide both sides by 2

∠DAE  = 74 degrees

The ∠DAE is equal to measure of arc DE

arc DE = 74 degrees

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Answer:

-27, 17, -41 and so now

Step-by-step explanation: 1, -3, 9, -27, 17, -41

Answer:

1,-3,9,-27,(-27×-3=81),(81×-3=-243)

Step-by-step explanation:

here common ratio =-3/1=-3

Answer:

Step-by-step explanation:

Answer:

• Formular for length:

\(length = \sqrt{ {(x _{1} - x _{2}) }^{2} + {(y_{1} - y_{2})}^{2} } \)

• from points given, x1 is -5, x2 is -5, y1 is -3 and y2 is -6:

• substitute:

\(length = \sqrt{ { \{ - 5 - ( - 5) \}}^{2} + { \{ - 3 - ( - 6) \}}^{2} } \\ \\ length = \sqrt{ {0}^{2} + {3}^{2} } \\ \\ length = \sqrt{ {3}^{2} } \\ \\ { \boxed{ \boxed{ \: \: length = 3 \: units \: \: }}}\)

Answer:

A1 7% = $400 & A2 8% = $16,600

Step-by-step explanation:

A1 * 7% + A2 * 8% = 1356

A1 + A2 = 17000

A1 = 17000 - A2

(17000 - A2) * 0.07 + A2 * 0.08 = 1356

1190 - 0.07 A2 + 0.08 A2 = 1356

1190 + 0.01 A2 = 1356

0.01 A2 = 166

A2 = 16600

A1 = 17000 - A2

A1 = 17000 - 16600

A1 = 400

Answer:

0.6, 0.625, 0.75.

Step-by-step explanation:

When ordering decimals, we must take the decimal that is the longest, 0.625. Then we take the other 2 decimals and fill them in with zeros, but we have to stop once there are three numbers beside the decimal. This is because the longest number only has three numerals.

0.600, 0.625, 0.750.

Then we order them from least to greatest. They're already ordered.

When you answer the question you can leave out the zeros we filled them in with.

Hope this helps!

g(x) is a translation of 6 units downwards.

Here we have the function:

y = f(x) = 3x + 1

Notice that the y-intercept of f(x) is:

f(0) = 3*0 + 1 = 1

The y-intercept of f(x) is y = 1.

Now, we know that the y-intercept of g(x) is -5. then:

g(x) = 3x - 5 = f(x) - 6

Meaning that g(x) is a translation of 6 units downwards.

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Answer:

translated 2

units up

g(x)= f(x-2)

Step-by-step explanation:

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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\( \underline{ \boxed {\sf \color{cyan}{x = \frac{129}{2}}}}\)

\(\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17 =51 +61}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17= 112}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17 + 17 = 112 + 17}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x = 129}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{\frac{ \cancel2x}{ \cancel2}=\frac{129}{2}}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{x = \frac{129}{2}}\)

\(\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

\({\pink{\boxed{\blue{2x - 17 = 51 + 61}}}}\)

2x - 17 = 51 + 61

\({\blue{\boxed{{Take -17 \: \: to \: \: the \: \: other \: \: side \: \: and }}}}\)

\({\blue{\boxed{{its \: \: sign \: \: will \: \: change \: \: \: into \: \: + }}}}\)

2x = 112 + 17

2x = 129

\({\blue{x = {\pink{ \frac{129}{2} }}}}\)

I believe the expression you provided is:

(log(x) + 4x^3) / x

To find the discontinuities of this expression, we need to identify any values of x that would cause the expression to be undefined. These values are called the discontinuities.

There are two types of discontinuities to look for:

Removable discontinuities: These occur when a function is undefined at a certain point but can be made continuous by redefining the function at that point.

Non-removable discontinuities: These occur when a function is undefined at a certain point and cannot be made continuous by redefining the function at that point.

To find the discontinuities of the given expression, we need to look for values of x that would make the denominator equal to zero, as this would result in a non-removable discontinuity.

So we solve the equation:

x = 0

This means that x cannot be equal to zero, as it would make the denominator zero and the expression undefined.

Therefore, the only discontinuity of the expression is at x = 0.

Note that there are no removable discontinuities in this expression, as the expression is continuous everywhere except at x = 0.

Answer:

A) x would be 21 if i interpreted it right

Step-by-step explanation:

4x - 11 = 73

i think anyways

4x = 73 + 11

4x = 84

x = 21

i d k  what B means?

21(33)6O can be expressed as 13√(2(729)). The final answer is 13√1458.

Rewriting the expression 21(33)6 with a rational exponent as a radical expression yields 21(33)6O, which can be simplified as 21(33)2. The value of 21 is 2, while the value of 33 is 27. Hence, 21(33)2 is equivalent to 2(27)2

To rewrite the expression with a rational exponent as a radical expression, we make use of the property that any number raised to a rational exponent can be represented as a radical with an exponent equal to the denominator of the rational exponent.

In this case, the rational exponent is 6/3, which is equivalent to 2.

Hence, we can rewrite 21(33)6 as 21(33)2. Simplifying this expression yields 2(27)2, which is equal to 2(729).

To express this in radical form, we take the 13th root of 2(729), which gives us 13√(2(729)).

This can be further simplified as 13√1458.

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The expression as a radical expression is \(9(\sqrt{x})^3\)

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

\(9x^\frac32\)

Introduce brackets

So, we have

\(9(x^\frac32)\)

Next, we have

\(9(x^\frac12)^3\)

Express as square roots

\(9(\sqrt{x})^3\)

Hence, the radical expression is \(9(\sqrt{x})^3\)

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Clara can reach a height of 2.57 meters when she jumps.

Given information:

The ceiling in Clara’s basement is 2.75 meters high.

When Clara jumps she is 18 centimeters short of being able to touch the ceiling.

We can start by converting the height of the ceiling and Clara's jump to the same units, either meters or centimeters. Let's convert Clara's jump to meters:

18 centimeters = 0.18 meters

Now we can subtract Clara's jump from the height of the ceiling to find how high she can reach:

2.75 meters - 0.18 meters = 2.57 meters

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Answer: 450000, 160

Step-by-step explanation:

4.5 ⋅ 10^5 =

4.5*100000=

4*100000+0.5*100000=

400000+50000=450000

1.6 ⋅ 10^2=

1.6*100=

1*100+0.6*100=

100+60=160

Answer:

The first one is correct

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

Ratios are numerical proportions among different values.

Eg. 1 : 4 is 1 to 4.

Given Total Shares = 1 + 4 = 5 = $90

Jacob gets 1 share.

1 Share = $90 ÷ 5 = $18

Therefore Jacob gets $18.

The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle

The given equation is

4x² + 9xy + 4y² - 36y - 125 =0

The above equation is an illustration of a circle equation

The standard form of a circle equation is

(x - a)² + (y - b)² = r²

Where

(a, b) is the center

r is the radius

While the general form of the equation is

ax² + fx + by² + gy + c =0

Where c is a constant

Recall that, we have

4x² + 9x + 4y² - 36y - 125 =0

This is the general form

We can convert to the standard form as follows

Divide through by 4

x² + 2.25x + y² - 9y - 31.25 =0

Next, we complete the square of the x-terms and the y-terms

For the x-terms, we have

x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²

x² + 2.25x = (x + 2.25/2)² - (2.25/2)²

For the y-terms, we have

y² - 9y = y² - 9y + (9/2)² - (9/2)²

y² - 9y = (y - 9/2)² - (9/2)²

Substitute the new x and y terms

So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes

(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0

Evaluate the sum of like terms

(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0

So, we have

(x + 9/8)² + (y - 9/2)² = 3377/64

Using the above as a guide, we can conclude that the conic section of the equation is a circle

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Answer:

\(d=9.21954\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d=\sqrt{(-1-5)^2+(9-2)^2}\)

\(d=\sqrt{(-6)^2+(7)^2}\)

\(d=\sqrt{36+49}\)

\(d=\sqrt{85}\)

\(d=9.21954\)

5, 8, 8, 5 has a population standard deviation of 3

Given,

The population is

{5, 8, 8, 5}

The population's mean is calculated as follows:

Sum of terms / Number of terms

Calculate the values and then replace them in the equation.

Sum equals 5 + 8 + 8 + 5 = 26

Number of terms = 4

The population's average is 26 / 4 = 6.5

The population's variance is equal to (5 - 6.5)² + (8 - 6.5) (8 - 6.5)² + (8 - 6.5) (8 - 6.5)² + (5 - 6.5)²

= (-1.5) (-1.5)² + (1.5) (1.5)² + 1.5² + (-1.5) (-1.5)²

= 2.25 + 2.25 + 2.25 + 2.25

= 9

The population's standard deviation is equal to

= 3

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As a result, option two (3.50) is correct.

Step-by-step explanation:                                                    
                                   
The code chunk that allows you to filter the data frame for chocolate bars with at least 70% cocoa and a rating of at least 3.5 pounds is as follows

∴ filter(Cocoa, percent>='70%'&Rating>=3.5)


Therefore, the code you write is facet wrap(Cocoa. Percent). Facet wrap() is a function in this code chunk that allows you to wrap a variable's facets. All of the ingredients are derived from cocoa beans. Cacao solids (the "brown" part, which contains health benefits and the unmistakable chocolatey flavor) and cacao butter (the "white" part, which contains the chocolate's fatty component) are split in proportion.


As a result, 3.5 appears in row 1 of your Tibble.

Other options I (iii), and (iv) are incorrect because the question states that any rating greater than or equal to 3.5 points can be considered a
high rating, and the rating here should be 3.5, not 3.75, 4.25, or 4

So, option (ii) is correct.  


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Answer:

x=-5

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

x=−5

Answer:

f(-5) = 30

f(0) = 5

f(3) = 14

Step-by-step explanation:

=> f(x) = x²+5

for , f(-5) = (-5)² +5

=> 25 +5

=> 30

for , f(0) = (0)² +5

=> 5

for , f(3) = (3)² + 5

=> 9 + 5

=> 14

Answer:

The steps Erin has to take for the reconciliation of her account and activities is as follows: Select the reconciled transactions, Select Batch actions, and Modify the selected ones.

Step-by-step explanation:

Solution

Since Erin could not detect any matches for the transactions she has entered before and enrolled, she needs to take the following processes to reconcile back all her credit activities which is stated below:

Process 1 :Select the reconciled transactions

Process 2 :Batch Actions

Process 3: Modify Selected

From the process stated above Erin can first of all choose the reconciled transactions, after that she can select the batch actions and lastly modify the ones that was selected with the aim of putting or adding them back in the account reconciliation.