3x + 8 = 3x+

Find one value of x

the total area available for the design on the soapbox car should be 636 inches² (square inches).

The correct calculations for the area of each side are:

Area of the first side = 6 inches x 54 inches

= 324 square inches

Area of the second side = 54 inches x 14 inches

= 756 square inches

Area of the third side = 14 inches x 24 inches

= 336 square inches

Area of the fourth side = 24 inches x 6 inches

= 144 square inches

To get the total area available for the design, we need to subtract the area of the top and bottom of the soapbox car, which are not included in the original measurements. If we assume the top and bottom are each rectangular and have the same dimensions as the first and third sides, we can calculate their total area as:

Area of the top = 6 inches x 54 inches

= 324 square inches

Area of the bottom = 6 inches x 54 inches

= 324 square inches

Total area of the top and bottom = 324 + 324

= 648 square inches

Finally, we can subtract the area of the top and bottom from the total area of the four sides to get the area available for the design:

Total area available for the design = (324 + 756 + 336 + 144) - 648

= 636 square inches.

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The steps to calculate the retirement bank rate are

1) Calculate your current retirement savings

2) Estimate your future retirement savings

3) Calculate your retirement savings rate

4) Adjust your savings rate as needed

Calculating your retirement savings rate can be a helpful way to ensure you're saving enough money to support your retirement. Here are the steps to calculate your bank rate retirement online:

Calculate your current retirement savings: You'll need to calculate the total amount of money you've saved for retirement so far,

Estimate your future retirement savings: You can use an online retirement calculator to estimate the amount of money you'll have saved by the time you retire based on your current savings rate,

Calculate your retirement savings rate: To calculate your retirement savings rate, divide your total retirement savings by your retirement savings goal.

Adjust your savings rate as needed: If your retirement savings rate is lower than you'd like, consider increasing your savings rate by contributing more money to your retirement accounts or exploring other investment options.

It's important to keep in mind that retirement planning is a complex process, and there are many factors that can impact your retirement savings rate, such as inflation, unexpected expenses, and changes in the stock market.

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Answer:

x = 108

Step-by-step explanation:

To solve the equation x/6 - 6 = x/18 + 6, we first need to get rid of the fractions by multiplying both sides by the least common multiple of the denominators, which in this case is 18.

So, we have:

18(x/6 - 6) = 18(x/18 + 6)

Simplifying this, we get:

3x - 108 = x + 108

Next, we want to isolate the variable x on one side of the equation, so we'll subtract x from both sides:

2x - 108 = 108

Finally, we'll add 108 to both sides to get:

2x = 216

Dividing both sides by 2, we get:

x = 108

Therefore, the value of x that makes the equation true is 108.

Rana has 1 and 5/12 cups of chocolate chips left. Answer: $\boxed{\text{one and five-twelfths cups}}$.

How to find?

To find out how many cups of chocolate chips Rana has left, we need to subtract the amount she used in the cookie recipe from the amount she bought.

First, we need to convert both mixed numbers to improper fractions, so we can subtract them.

Three and three-fourths cups can be written as:

3\frac{3}{4} = \frac{(3 \times 4) + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}

Two and one-third cups can be written as:

2\frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{7}{3}

Now, we can subtract:

\frac{15}{4} - \frac{7}{3} = \frac{45}{12} - \frac{28}{12} = \frac{17}{12}

Therefore, Rana has 1 and 5/12 cups of chocolate chips left. Answer: $\boxed{\text{one and five-twelfths cups}}$.

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The distance traveled in the first 5.2 seconds when the speed dropped from the rest as v(t) = 9.8t is equal to 132.496 meters.

'v' is the speed of the object in meter per second

't' is the time in seconds.

Speed dropped from rest 'v(t) = 9.8t '

Distance traveled in the first 5.2 seconds is equal to

= [tex]\int_{0}^{5.2}[/tex]9.8t dt

= ( 9.8 / 2 )t² [tex]|_{0}^{5.2}[/tex]

Substitute the lower and upper limit to get the required distance we have,

= 4.9 [ ( 5.2)² - 0² ]

= 4.9 × 27.04

= 132.496 meters

Therefore, the distance traveled for the given first 5.2 seconds is equal to 132.496 meters.

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The above question is incomplete, the complete question is:

Free fall the speed v of an object dropped from rest is given by v(t)=9.8t where v is meters per second and time 't' is in seconds.

(a) Express the distance traveled in the first 5.2 seconds as an integral.

Answer:

B=11x2x2

Step-by-step explanation:

Prime factors of 44
44 ÷ 2 = 22
22 ÷ 2 = 11

11 ÷ 11 = 1

Prime factorization of 44 : 11 x 2 x 2

Factorization Tree

       44    

 /  \    

     2    22  

     /  \  

 2   11

Option C. The transformation that does not preserve congruence is a dilation by a scale factor of 5.

Congruence is the property of having the same size and shape. In geometry, transformations are operations that change the position, size, or orientation of a figure. Some transformations, such as reflections, translations, and rotations, preserve congruence, meaning that the resulting figure is congruent to the original figure. Other transformations, such as dilations, do not preserve congruence, meaning that the resulting figure is not congruent to the original figure.

A dilation is a transformation that changes the size of a figure by stretching or compressing it. A dilation by a scale factor of 5 means that every point of the figure is multiplied by 5 with respect to a fixed point called the center of dilation. The resulting figure is similar to the original figure, but not necessarily congruent.

On the other hand, reflections, translations, and rotations preserve congruence. A reflection across the x-axis reflects the figure across the x-axis while preserving its shape and size. A translation 4 units up moves the figure up without changing its shape or size. A rotation 90° counter-clockwise rotates the figure 90 degrees counter-clockwise while preserving its shape and size.

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A transformation is applied to create a new figure. Which transformation does not preserve congruence?

A. A reflection across the x-axis

B. A translation 4 units up

C. A dilation by a scale factor of 5

D. A rotation 90° counter clockwise

Answer:

exponential decay

Step-by-step explanation:

because the value that is being multiplied 0.85 is less then 1 then the value decreases.

Ex. when x=0, y=2770, then when x=1, y=2770(0.85) = 2354.5...

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =177 \end{cases}\implies n(177)=180n-360 \\\\\\ 177n=180n-360\implies 0=3n-360\implies 360=3n \\\\\\ \cfrac{360}{3}=n\implies 120=n[/tex]

There are 9 employees at the smaller location and 12 employees at the larger location.

Let's use the following variables:

Let x be the number of employees at the smaller location.

Let y be the number of employees at the larger location.

We know that the total number of employees is 21, so we can write:

x + y = 21

We also know that "four times the number of employees at the larger location is six less than six times the number of employees at the smaller location". In other words, we can write:

4y = 6x - 6

Simplifying this equation, we get:

2y = 3x - 3

We now have a system of two equations with two variables:

x + y = 21

2y = 3x - 3

We can solve this system using substitution or elimination. Here, we'll use substitution method:

From the second equation, we can solve for x in terms of y:

2y = 3x - 3

3x = 2y + 3

x = (2/3)y + 1

We can now substitute this expression for x into the first equation:

x + y = 21

(2/3)y + 1 + y = 21

(5/3)y = 20

y = (3/5) × 20

y = 12

Substitute y = 12 back into x + y = 21, we get:

x + 12 = 21

x = 9

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After simplifying and finding x, we obtain: (x - 4)([tex]x^2[/tex] - 4x + 32) = 0

[tex]x^3[/tex] - [tex]8x^2[/tex] - 64x + 128 = 0

There are no actual roots for the quadratic factor, hence we have the:

x = 4

Line BC, therefore, has a length of 4.

Describe Inequality.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

Let BC = x.

Using the Triangle Inequality on triangle ABD, we have:

AB + BD > AD

6 + x > 4 + 2

x > -4

Using the Triangle Inequality on triangle BDC, we have:

BC + CD > BD

x + 2 > 4

x > 2

Therefore, we have:

2 < x < 6

Now, we can use the Law of Cosines on triangle BDC:

BD² = BC² + CD² - 2BC·CD·cos(BDC)

Substituting known values and solving for x, we have:

4 = x² + 4 - 8x·cos(BDC)

x² - 8x·cos(BDC) + 0 = 0

x(x - 8·cos(BDC)) = 0

Since x cannot be zero, we have:

x - 8·cos(BDC) = 0

cos(BDC) = x/8

Using the Law of Cosines on triangle ACE:

AC² = AE² + CE² - 2AE·CE·cos(ACE)

Substituting known values and simplifying, we have:

(6 + x)² = 4² + 2² - 2·4·2·cos(ACE)

36 + 12x + x² = 20 - 16cos(ACE)

cos(ACE) = (12x + x² - 16)/(-16)

Since cos(BDC) = cos(ACE), we have:

x/8 = (12x + x² - 16)/(-16)

Simplifying and solving for x, we have:

8x² + 64x - x³ - 128 = 0

x³ - 8x² - 64x + 128 = 0

(x - 4)(x² - 4x + 32) = 0

The quadratic factor has no real roots, so we have:

x = 4

Therefore, the length of line BC is 4.

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The roman numerals of 42 is XLII

Roman numerals are a number system that originated in ancient Rome and remained the standard numbering system throughout Europe until the late Middle Ages. Numbers are written using combinations of letters from the Latin alphabet, each letter has a fixed integer value, and only the following seven are used in modern style:

I V X L C D M

1 5 10 50 100 500 1000

The use of Roman numerals continued long after the fall of the Roman Empire. From the 14th century onwards, Roman numerals were replaced by Arabic numerals. However, this process was gradual and the use of Roman numerals continues to this day in some applications.

The roman numerals of 42 is

42 = 40 +2

for 40 = 50-10 =  XL

and for 2 II

so for 42 = XLII

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Answer:

Penny had 13/20 of the pizza left.

Step-by-step explanation:

Let's start with the whole pizza, which we can represent as 1.

Pania ate a quarter of the pizza, leaving 3/4 (since 1/4 + 3/4 = 1) for Pita and Paula.

Pita then ate one sixth of what remained, which is one sixth of 3/4 or 3/24, leaving 21/24 (or simplifying to 7/8) for Paula.

Paula then ate two fifths of what remained after Pita had eaten, which is two fifths of 7/8 or 14/40, leaving 26/40 (or simplifying to 13/20) for Penny.

Therefore, Penny had 13/20 of the pizza left.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

Answer:

3/8 of the pizza was left for Penny.

Step-by-step explanation:

Pania ate 1/4 and left 3/4.

Pita ate 1/6 (of the 3/4) and left 5/6.

Paula ate 2/5 (of the 5/6) and left 3/5.

What was left?

3/5 of 5/6 of 3/4

"of" means times

3/5•5/6•3/4

(cancel the 5s and a 3 with the 6, leaving a 2)

= 3/8

But see the illustrated story, it makes way more sense! See image

The quadratic equation that would not cross the x-axis is given as follows:

y = 4x² - 4x + 5.

The quadratic equation with imaginary roots is given as follows:

y = x² + 6x + 10.

A quadratic equation is modeled by the rule presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:

When a function has a negative discriminant, it does not cross the x-axis, meaning that it has imaginary roots.

Hence the functions are given as follows:

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Step-by-step explanation:

[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]

To find sin(a),

[tex] \sin( \alpha ) = \sqrt{1 - \cos {}^{2} ( \alpha ) } [/tex]

[tex] \sin( \alpha ) = \sqrt{1 - (0.6) {}^{2} } [/tex]

[tex] \sin( \alpha ) = \sqrt{0.64} [/tex]

Since sin is negative in the interval (270,360)

[tex] \sin( \alpha ) = - 0.8[/tex]

Now we can find sin(2a)

[tex]2( - 0.8)(0.6) = - 0.96[/tex]

2. The identity for cos(2x) is

[tex]2 \cos {}^{2} (x) - 1[/tex]

We know cos x is 0.6 so we get

[tex]2(0.6) {}^{2} - 1 = - 0.28[/tex]

part 3:

[tex] \tan(4x) = \frac{2 \tan(2x) }{1 - \tan {}^{2} (2x) } [/tex]

[tex] \tan(2x) = \frac{ \sin( 2x) ) }{ \cos(2x) } = \frac{ - 0.96}{ - 0.28} = 24[/tex]

So we end up getting,

[tex] \tan(4x) = \frac{2(24)}{1 - (24) {}^{2} } [/tex]

[tex] \tan(4x) = \frac{48}{1 - 576} [/tex]

[tex] \tan(4x) = - \frac{48}{575} [/tex]

Repost the question, I made a computational mistake.

For a pet shop to approximate 18 rabbits, it would take 6 weeks.

In the question, we have a formula that represents the number of rabbits available with them.

The amount of rabbits is dependent on another variable, Time.

The variables depend on each other, and the number of rabbits with the pet shop relies on the number of weeks.

R(t)= 2t(2/3) + 10

If the number of rabbits is 18, then the value of the equation would be equal to 18.    [R(t) = 18]

18= 2t(2/3) +10

18= 4t/3 + 10

8 X 3 = 4t

24/4 = t

6 = t

Therefore, 18 rabbits are approximated by the pet store in 6 weeks.

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Answer:

(a) To find out how long it takes for Claudia to catch up with Cindy, we can first calculate the head start that Cindy had before Claudia started. Cindy had a head start of:

d = rt = 108 km/h x 1 h 40 min = 180 km

where d is the distance that Cindy traveled during the 1 hour 40 minutes (1.67 hours) between her departure and Claudia's departure, r is Cindy's speed, and t is the time she traveled.

When Claudia started, both Cindy and Claudia were 180 km away from Beach Town. The distance between them decreases at a rate equal to the difference in their speeds, which is:

124 km/h - 108 km/h = 16 km/h

So Claudia catches up at a rate of 16 km/h. The time it takes for Claudia to catch up is then:

t = d / r = 180 km / 16 km/h = 11.25 hours

However, we need to subtract the 1 hour 40 minutes (1.67 hours) that Cindy traveled before Claudia started to find the actual time Claudia took to catch up with Cindy:

t = 11.25 hours - 1.67 hours = 9.58 hours

Therefore, Claudia took about 9 hours and 35 minutes (0.58 x 60 minutes) to catch up with Cindy.

(b) When Claudia catches up with Cindy, they are both the same distance away from Beach Town. Cindy has already traveled 180 km when Claudia catches up, so the distance they are from Beach Town is:

600 km - 180 km = 420 km

Therefore, they were 420 km away from Beach Town when Claudia caught up with Cindy.

Answer:

9 units bro

Step-by-step explanation:

Therefore, the expression that equals 3B - 3C in standard form is -21x² - 6x + 24.

In mathematics, an expression is a combination of numbers, variables, and operations that can be evaluated or simplified to obtain a single value or another expression. In algebra, expressions are often used to represent mathematical relationships or formulas, and can be manipulated using various algebraic techniques such as factoring, expanding, simplifying, and solving for unknown variables. Expressions are also used in calculus, probability theory, and many other branches of mathematics to describe mathematical models and relationships.

Here,

We can start by substituting the expressions for B and C into the expression for 3B - 3C and simplifying:

3B - 3C = 3(-3x - 7x²) - 3(-x² - 8 - x)

= -9x - 21x² + 3x² + 24 + 3x

= -21x² - 6x + 24

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Answer:

20 lbs = 9.07185 kg

20 x 0.45359237

Step-by-step explanation:

multiply the given lbs value by 0.45359237 kg and you’ll get your answer.

There are various online tools available to calculate the slope and y-intercept of a linear equation given two points or a slope and one point.

To calculate the slope and y-intercept, enter the necessary input data into the online calculator and click the "calculate" button. The output will provide you with the values of the slope and y-intercept of the line, as well as an equation of the form

where m is the slope and b is the y-intercept. This can be a useful tool for quickly finding the equation of a line or checking your own work.

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The units of moment of inertia depend on the shape and dimensions of the object, and can be expressed in kg m², g cm², lb ft², or oz in².

The units of the moment of inertia depend on the shape and dimensions of the object. Some common units for a moment of inertia are:

kg m² (kilogram-meter squared)

g cm² (gram-centimeter squared)

lb ft² (pound-foot squared)

oz in² (ounce-inch squared)

These units represent the distribution of mass around an axis of rotation and are used in calculations involving rotational motion and torque.

The moment of inertia is a physical property of an object that determines its resistance to rotational motion. It depends on the mass distribution of the object and its orientation with respect to the axis of rotation. The moment of inertia is typically represented by the symbol I and is measured in units of kg m², g cm², lb ft², or oz in². The moment of inertia can be calculated using the object's mass, dimensions, and shape, and is used in calculations involving rotational motion, such as torque and angular acceleration. Different shapes and distributions of mass have different moments of inertia, which can affect the object's motion and stability.

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Answer:

Step-by-step explanation

1.   196:8=147:x

2. you multiply the outisde numbers with  the inner numbers

196*x=147*8

196x=1176

then find x

x=1176/196

x=6seconds

Answer:

We can use the ratio of distance to time for the cheetah's first run to find how long it will take to run 147 meters.

The speed of the cheetah is given by:

Speed = distance/time

In the first run, the cheetah ran 196 meters in 8 seconds, so its speed was:

Speed = 196/8 = 24.5 meters per second

To find out how long it will take for the cheetah to run 147 meters, we can use the speed we just calculated and the distance we want to find:

Speed = distance/time

24.5 = 147/time

Solving for time:

time = 147/24.5

time = 6 seconds

Therefore, it will take the cheetah 6 seconds to run 147 meters.

The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.

Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.

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The equations that could be solved to determine Sylvie's hourly earnings are

110 - 16 = 10h

110 = 16 + 10h

The correct options are the first and fourth options

From the question, we are to determine the equation that could be solved to determine Sylvie's hourly earnings

The equation that represent the total amount Sylvie needs to earn more is

$110 - $16 = $94

and the total number of hours she will work is 10 hours,

Then,

The equation for her hourly earning's, h, is

10 × h = $96

Thus, we can write that

10h = 96

OR

10h = 110 - 16

We will find the equations that are equivalent to this.

The equation that are equivalent to the above equations are

110 - 16 = 10h

110 = 16 + 10h

Hence, the equations are

110 - 16 = 10h

110 = 16 + 10h

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Answer: the answer is C

Step-by-step explanation:

To make the systems equivalent, we need to multiply both sides of each equation in the first system by the same constant in order to get the corresponding equations in the second system.

If we multiply the first equation in the first system by 4, we get:

16x + 20y = -12

If we multiply the second equation in the first system by -4, we get:

-20x + 12y = 52

Comparing this to the second system, we see that the equation -20x + 12y = 52 matches the second equation in the second system. Therefore, the value of C in the second system must be 52.

So, the answer is C.

The Big data characteristic which this mainly involve include the following: B. variety.

In Computer technology, Big data can be defined as large (huge) collections of data that are typically difficult for users to process, analyze, and manage through the use of conventional data tools or traditional database methods and tools.

In Computer technology, big data comprises five Vs and these include the following:

In conclusion, we can infer and logically deduce that variety is the characteristics of that this scenario describe because the team gathers the fans' personalized video clips, tweets, texts, and other posts to the team website.

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Complete Question:

The Mayberry mustangs, a minor league baseball team, recently upgraded their ability to collect data from their fans in order to draw people to their website. the team gathers the fans' tweets, texts, personalized video clips, and other posts to the team website. then they include them in a humorous mashup before each game. Which big data characteristic does this mainly involve? multiple choice question?

Volume

Variety

Veracity

Value

The value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

What does the coordinate geometry distance formula mean?

In coordinate geometry, the distance formula is used to compute the distance between two specified points.

The distance formula is D=

It is used to determine the distance between two locations (x1,y1)(x1,y1)) and (x2,y2)(x2,y2).

Given: Points P and Q are separated by 17 units. The coordinates of point P are (5, 5) and point Q are (-3,y).

Using the distance formula,

PQ = [tex]\sqrt{(x2-x1)^{2} +(y2 - y1)^{2} }[/tex]

17²  = 64 - y² +25 +10y

289-64-25 = - y² + 10y

y² + 10y - 200 = 0

On solving the quadratic equation we get,

y = -20, 10

Therefore, the value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

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A solution to this inequality 2(x - 6) < 1/2(12x - 8) include the following: x > -2.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would multiply both sides of the inequality by 2 as follows;

2(x - 6) < 1/2(12x - 8)

4(x - 6) < (12x - 8)

4x - 24 < 12x - 8

By collecting like-terms and rearranging the expression, we have:

8 - 24 < 12x - 4x

-16 < 8x

x > -2

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