O DATA ANALYSIS AND STATISTICSComputations from a circle graphThe circle graph shows how a family spends its annual Income. If the total annual income is $90,000, what amount is budgeted for Auto and Insurance

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Using mathematical operators, Hideo withdraw $500

In this problem, we have to start from his initial balance before the interest and deposit and subtract the current balance from it to determine how much he withdraw.

The basic mathematical operations are the four arithmetic operations that we have already learned in the above sections.

Addition and subtraction are inverse operations of each other. It means if the addition of two numbers gives the third number, then subtraction of an added number from the third number will result in the original number.

Using mathematical operators like addition and subtraction, we can represent this as

New balance = old balance + interest + deposit - withdrawal

withdrawal = 7147. 50 + 1000 + 32.58 - (7680.08)

withdrawal = 500

Hideo withdraw $500

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Answer:

-y+11

Step-by-step explanation:

Answer:-1y + 11

Step-by-step explanation:

7y + 5 - 8y + 6

-simplify

7y - 8y = -1y

5+6=11

= -1y + 11

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer: C. 38.47 m2

Step-by-step explanation:

The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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Answer:

30.1%

Step-by-step explanation:

870=100%

262=x

262×100÷870= 30.11494252873%

Answer:

.

Step-by-step explanation:

Use the distance formula

d = vt

where:

d = distance (miles)

v = speed (mph)

t = time (hours)

Let  x = run time

Let  y = bike time

Total time:      x + y = 4

Using these variables we can write an equation representing the formula.

dTotal = drun + dbike

49 = 9x + 22y

Next, we get the equation in terms of only x or y.  We'll get it in terms of x.

49 = 9x +22(4 - x)

49 = 9x + 88 - 22x

-39 = -13x

 3 = x

Plug in this value of x into the variables to find the distance for each part.

run distance = 9x

bike distance = 22(4 - x)

Answer: Where is the picture?

Step-by-step explanation:

Answer:

x+7

Step-by-step explanation:

Hope this helps!

Please mark me brainliest if possible. :)

After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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If  Derrick leaves at around 12 pm, and the sun sets at 4:45 pm, the distance he can  explore and still make it back by sunset is : 1.24 miles.

In order to find how far  Derrick can explore, we need to know how much time he has before sunset.

If the sun sets at 4:45 pm, and he leaves at 12 pm, we can find the amount of time he has by subtracting 12 pm from 4:45 pm.

4:45pm - 12:00pm

= 4:45pm

We can convert the hours and minutes to minutes only.

4 hours × 60 minutes/hour + 45 minutes

= 260 minutes

Since Derrick's walking speed is 3.5 mph, let convert this to minutes per mile by using the conversion factor 1 hour = 60 minutes.

Now let find the  distance Derrick can travel

Distance = 260 minutes / 3.5 mph × 60 minutes/hour

Distance = 260 minutes / 210 minutes/mile

Distance  = 1.24 miles

Therefore Derrick can explore 1.24 miles before sunset.

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The quotient when 6+8i is divided by 2i is given by -3i+4.

We know that, complex number \(i^1=-1\).

Given the divisor is = 2i and dividend is = 6+8i

Dividing the dividend by divisor we get,

(6+8i)/2i = 6/2i + 8i/2i = 3/i + 4 \(=\frac{3i}{i^2}+4\) = 3i/(-1)+4 = -3i+4

Hence the quotient is = -3i+4.

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Answer: X=3

Step-by-step explanation:

Answer:The picture did not load

Step-by-step explanation:Sorry

A is either 45° or 135°.

To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.

Using the distance formula, we have:

AB² = x₁² + y₁²

AC² = x₂² + y₂²

According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:

(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]

Expanding and simplifying the equation, we get:

x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)

This equation can be further simplified to:

(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)

Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.

In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.

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The calculated values of the slopes HI and JG are -0.143

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

The quadrilateral, where we have the vertices

H = (-2, -8)

I = (5, -9)

J = (0, -4)

G = (-7, -3)

The values of the slopes HI and JG are calculated using

Slope = Change in y values/Change in x values

Using the above as a guide, we have the following:

Slope HI = (-9 + 8)/(5 + 2)

Evaluate

Slope HI = -1/7 = -0.143

Slope JG = (-3 + 4)/(-7 - 0)

Evaluate

Slope JG = -1/7 = -0.143

Hence, the values of the slopes HI and JG are -0.143

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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I would get $19 back if I gave the clerk $40

An equation is an expression used to show the relationship between two or more variables and numbers.

Total money spent on book and CD = $12 + $9 = $21

The money gotten back = $40 - $21 = $19

I would get $19 back if I gave the clerk $40

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Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

The real-world problem involving perimeter is that the perimeter of a rectangle of length 18 units and width 15 units is 66 units

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

2 x 18 + 2 x 15 = 66

The perimeter of a rectangle can be calculated using

Perimeter = 2 x Length + 2 x Width

Using the above as a guide, we have the following:

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Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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9514 1404 393

Answer:

Step-by-step explanation:

This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.

__

1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.

  -24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)

The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).

So, the left- and right-quadrants are filled with -8 and 3.

  Blank 1 = -8

  Blank 2 = 3

__

2) You are given the factors, so all you need to do is form the product and sum.

  Blank 1 = (-3)(-2) = 6

  Blank 2 = (-3) +(-2) = -5

_____

Additional comment

Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.

Answer:

Blank 1: -8

Blank 2: 3

Step-by-step explanation:

Sorry if i'm late on this but it is the same X method concept. -8 and 3 add up to get -5, and they multiply to get -24

Answer:29.15

Step-by-step explanation:

You just divide 21.20 by 8 then multiply

Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

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The value of XZ is given by 26.

Given that the triangles RST and XYZ are congruent to each other.

So, RS = XY, since corresponding parts of Congruent triangles are equal.

Given also that,

RS = 11x-1

XY = 9x+5

XZ = 7x+5

So, RS = XY gives

11x-1 = 9x+5

11x-9x = 5+1

2x = 6

x = 6/2

x = 3

Substituting the value of x in the value of XZ is given by,

XZ = 7x+5 = 7*3+5 = 21+5 = 26

Hence the value of XZ is 26.

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Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Answer:

2290.22

Step-by-step explanation:

Formula: V=pi*r^2*h

Plug in the values:

V=pi*81*9

81*pi=~254.469

~254.469 * 9 = 2290.22

The Main Street is 1/12 of a mile longer than the Oak Street

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

Using the above as a guide, we have the following:

Difference = Main Street - Oak Street

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

Difference = 1/3 - 1/4

Evaluate the difference

Difference = 1/12

Hence, the difference is 1/12 of a mile

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Answer:

Rozalie spent 7 hours at the parking garage.

Step-by-step explanation:

The equation for the above Question can be given as:

$7.5 + 2.75x

Where x = hourly rate

We are told that Rozalie spent $26.75

The number of hours Rosalie spent at the parking garage is calculated as:

$7.5 + 2.75x = $26.75

2.75x = $26.75 - $7.5

2.75x = 19.25

x = 19.25/2.75

x = 7 hours

Therefore the number of hours Rozalie spent at the parking garage was 7 hours.