Miss Hodgman is helping her students understand two-dimensional figures in her support group. Her microphone cut out, so the students missed the name of the following shape. "It's a 4-sided flat shape with 90 degree corners, and straight sides that has a pair of opposite sides parallel." What shape is she describing?

please help me.

5√3 is the measure of the value of x

The given diagram is a right triangle. We need to determine the measure of the side 'x'

Using the trigonometry identity:

tan 60 = x/5

x = 5 tan 60

Simplifying the result, we will have:

x = 5√3

Hence the value of x from the given triangle is 5√3

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These lines never intersect, there are no solutions to the equation.

In mathematics, a graph is a visual representation of a set of objects and the relationships between them. Graphs are widely used in many areas, including mathematics, computer science, engineering, social sciences, and more.

A graph consists of two main components: vertices (also known as nodes) and edges. The vertices represent the objects, and the edges represent the connections or relationships between them. The edges can be directed or undirected, meaning they can be one-way or two-way relationships.

There are many types of graphs, including:

Undirected graphs: Graphs in which edges have no direction.

Directed graphs: Graphs in which edges have a direction, often represented by arrows.

Weighted graphs: Graphs in which edges have weights or values, representing some kind of numerical data.

Bipartite graphs: Graphs in which the vertices can be divided into two distinct sets, with edges only connecting vertices in different sets.

Complete graphs: Graphs in which every vertex is connected to every other vertex by an edge.

Graphs are used to model and analyze various kinds of data, such as social networks, transportation systems, financial transactions, and more. They are also used in algorithms and data structures, such as shortest path algorithms and tree data structures. In addition, graphs are often visualized using software tools to help people better understand complex relationships and patterns in data.

The given equation is 3x + 1 = 3x + 2.

Subtracting 3x from both sides, we get:

1 = 2

This is a contradiction and there are no values of x that can satisfy this equation.

On a graph, this can be seen as follows:

Plotting the graphs of y = 3x + 1 and y = 3x + 2, we get two parallel lines.

Since these lines never intersect, there are no solutions to the equation.

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It takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.

The volume of the cylindrical glass can be calculated as:

V = πr²h

where r is the radius (half of the diameter), h is the height, and π is the mathematical constant π (approximately 3.14).

Since the diameter is 3 inches, the radius is 1.5 inches. The height is 10 inches. Therefore, the volume of the glass is:

V = π(1.5)²(10) ≈ 70.69 cubic inches

To fill the glass 50%, we need half of the volume:

V/2 ≈ 35.35 cubic inches

The faucet dispenses water at a rate of 1 cubic inch per second, so the time it takes to fill the glass 50% is:

t = (V/2) / (1 cubic inch per second) ≈ 35.35 seconds

Therefore, it takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.

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The equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.

What is the slope-intercept form?

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Two lines are parallel if they have the same slope. The given line y = 3x - 5 is in slope-intercept form, which means its slope is 3.

A line in slope-intercept form has the equation y = mx + b, where m is the slope and b is the y-intercept. Therefore, any line of the form y = 3x + c, where c is a constant, will have a slope of 3 and be parallel to the given line.

Let's check each of the given equations to see which ones are of this form:

A. y = 3x - 7: This equation has the same slope as the given line, but it is not in the form y = 3x + c. Therefore, it is not parallel to the given line.

B. y = -3x - 5: This equation has a slope of -3, which is not the same as the slope of the given line. Therefore, it is not parallel to the given line.

C. 6x + 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:

2y = -6x - 4

y = -3x - 2

This equation has the same slope as the given line, so it is parallel to the given line.

D. 6x - 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:

-2y = -6x - 4

y = 3x + 2

This equation has the same slope as the given line, so it is also parallel to the given line.

Therefore, the equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.

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Answer:

1% of $500 = $5

Total Saving from $500 to $ 860

[tex] = \frac{860}{5} = 172 \\ [/tex]

Now percentage of growth :-

[tex] \frac{172}{500} \times 100 \\ \\ \frac{17200}{500 } = 34.4[/tex]

Hence, the rate of change Sergio savings = 34.4%

Answer:

4√3 or 6.9282Km

Step-by-step explanation:

Let the triangle be ABC, right angled at B

Angle A = 60 degrees

Angle C = 30 degrees

BC = 6 km

To find AB,

Tan30°=AB/BC

Now we know that tan30° is 1/√3 so,

1/√3 = AB / 6

6/√3 = AB

6√3/3 =AB

2√3 = AB

Now we have the value of two sides so we can use the Pythagoras Theorem to find the hypotenuse, which is g

AB² + BC² = AC²

(2√3)² + 6² = g²

12 + 36 = g²

48 = g²

Therefore g = √48km or 4√3km or 6.9282Km

The value of her kinetic energy is,

Kinetic energy = 3,388 J

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

A student rides her bicycle down a hill. Together, she and the bicycle have a mass of 56 kilograms.

And, She is moving at 11 meters per second.

We know that;

Kinetic energy = 1/2 (mv²)

Where, m is mass and v is velocity.

Substitute all the values , we get;

Kinetic energy = 1/2 (mv²)

Kinetic energy = 1/2 (56 × 11²)

Kinetic energy = 1/2 × 56 × 121

Kinetic energy = 3,388 J

Thus, The value of her kinetic energy is,

Kinetic energy = 3,388 J

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Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12The question is asking if Emily has 123 more cups of flour than sugar.

To check if this is true, we can subtract the amount of sugar from the amount of flour, and see if the difference is equal to 123.

Emily uses 1 2 3 cups of sugar and 3 1 4 cups of flour.

Therefore, the difference between the amount of flour and the amount of sugar is:

3 1 4 − 1 2 3 = 12/4 + 3/4 - 3/12 = 9/12 + 9/12 - 1/12 = 17/12

The difference between the amount of flour and the amount of sugar is 17/12, not 123. Therefore, we cannot agree with Emily's statement that she has 123 more cups of flour than sugar.

Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12, which is the same as our calculation above. Options A and B are incorrect because they give incorrect values for the difference. Option D is incorrect because it gives the sum of the two quantities, not the difference.

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Answer:

its c. all credits go to the girl/boy up there.

Step-by-step explanation:

The selling price of each unit of towel is $1500

Selling price is the price at which a product or service is sold to a customer or consumer. It is the amount that a customer pays for the product or service, which includes both the cost of the item and any markup or profit that the seller may add.

In the question given, the total sales of towels is given as $112,500

If they sale 75 towels, the cost of each towel is;

cost = 112500 / 75

cost = $1500

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The measurement that represents the height of the parallelogram is A. 3 m.

The height of a parallelogram is the perpendicular distance between its two parallel bases. It is the distance between the two parallel bases measured at a 90-degree angle.

To find the height of a parallelogram, draw a perpendicular line from one base to the other. The length of this line is the height of the parallelogram.

On the given image, the line that shows the perpendicular distance between its two parallel bases is 3 m so this is the height.

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Answer:

{32, 60, 68}

Step-by-step explanation:

If a triangle is a right triangle, the sum of the squares of the two shorter sides must equal to the square of the longest side

Only {32, 60, 68} fits this property

32² + 60² = 1,024 + 3600 = 4,624
68² = 4,624

The other options do not satisfy this requirement

Answer:{32,60,68} represents the three sides of a right triangle

Step-by-step explanation: If the given triangle is a right triangle then it must follow Pythagoras's theorem,

according to Pythagoras's theorem,

(hypotenuse)²=(base)²+(height)²

Since hypotenuse is the longest side, so here 68 is the largest

so, hypotenuse=68 ,base=32 ,height=60

putting the values in the above equation,

(68)²=(32)²+(60)²

4624=1024+3600

4624=4624

since LHS=RHS

Therefore, it is a right triangle

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Answer:

John went grocery shopping over the weekend and used algebra to find the best deals. He compared the unit price of similar products to determine which one was the most cost-effective. Later that day, John practiced basketball with his friends, and he used algebra to track his progress. He calculated his shooting percentage by dividing the number of shots he made by the total number of shots he attempted, giving him insight into how he was improving over time. Finally, John cooked dinner and used algebra to adjust the recipe. He needed to make a meal for eight people, but the recipe was only for four, so he had to double the quantities of ingredients while keeping the ratios the same. By using algebra, he was able to create a delicious meal that was the right size for his gathering.

Answer:We use the formula for exponential growth:P = Po exp(kt)Using the population data from 1993 to 1996, we can solve for the growth rate k76 = 72 exp(k(3))76/72 = exp(3k)ln (76/72) = 3kk = ln(76/72) / 3 = 0.0180In 10 years (2003), the population will be:P = Po exp(0.0180t)P = 72 exp(0.0180(10))P = 86.22 million

Step-by-step explanation:

$300 is expected to be paid to the insurance company each month for coverage.

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.

here, we have,

Deductible is the set amount that one pays himself at the time of claiming insurance. Like here, if $500 is deductible, that means when the person will claim the insurance, he himself will pay $500 ,and the rest insured amount will be paid by the company.

So, here $300 is the monthly premium and $500 deductible is the one time set amount that does not have to be paid monthly.

Hence, $300 is the correct answer.

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Answer: 279.94

Step-by-step explanation:

Expected value =

(0.0002)(-100,000) + (0.9998) (300)

1-.0002 = 0.9998

= .279.94

Since the parabola intersects the x-axis at (-2,0) and (4,0), those are the roots (or zeros) of the quadratic function. Therefore, the factors of the function are (x+2) and (x-4).

A graph is a visual representation of data or mathematical functions that uses points, lines, and curves to illustrate relationships between variables or values. Graphs are used in many fields, including mathematics, science, engineering, business, and economics, to convey information in a clear and concise way.

There are several types of graphs, each with its own purpose and style. The most common types of graphs include:

Line graphs: These graphs use lines to connect data points and are used to show trends over time.

Bar graphs: These graphs use bars to represent data and are used to compare values between different categories.

Pie charts: These graphs use a circular shape divided into sections to represent proportions or percentages of a whole.

Scatter plots: These graphs use dots to represent data points and are used to show relationships between two variables.

Histograms: These graphs use bars to represent the frequency of data within different intervals or ranges.

Graphs can be created by hand or using software such as Microsoft Excel, MATLAB, or Python. They can also be customized with different colors, labels, and formatting options to improve their clarity and impact.

Overall, graphs are a powerful tool for visualizing data and communicating complex information in a simple and effective way.

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Step-by-step explanation:

just keep in mind :

i = sqrt(-1)

that is all we need to know.

from there we know the forever repeating group of 4 "power of i" values :

i¹ = i

i² = sqrt(-1)² = -1

i³ = i²×i = -1×i = -i

i⁴ = i²×i² = -1×-1 = 1

and this repeats now over and over again with the following powers :

i⁵ = i⁴×i = 1×i = i

i⁶ = i⁴×i² = 1×-1 = -1

i⁷ = i⁴×i³ = 1×-i = -i

i⁸ = i⁴×i⁴ = 1×1 = 1

and so on and so on ...

so,

i⁸¹ = i⁸⁰×i = (i⁴)²⁰×i = 1²⁰×i = 1×i = i

i⁵² = (i⁴)¹³ = 1¹³ = 1

i⁹⁹ = i⁹⁶×i³ = (i⁴)²⁴×i³ = 1²⁴×-i = 1×-i = -i

i⁶⁶ = i⁶⁴×i² = (i⁴)¹⁶×i² = 1¹⁶×-1 = 1×-1 = -1

for such questions always look for the modulo (remainder) result when dividing the exponent by 4. and then use the first list or table above.

The solution to the system of linear equation by substitution method is as follows :  x = 1 and y = -3

6x − 9 = y

y = −3x

let's substitute the value of y in the first equation as follows;

6x - 9 = -3x

add -3x to both sides of the equation

6x + 3x - 9 = -3x + 3x

9x - 9 = 0

add 9 to both sides of the equation

9x - 9 + 9 = 0 + 9

9x = 9

divide both sides by 9

x = 9 / 9

x = 1

let's find y by substituting the value of x in the second equation

y = -3x

y = -3(1)

y = -3

Therefore, x = 1 and y = -3

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If the long-term demand for oranges is the same as the short-term demand, a binding price ceiling will result in a shortage that is larger in long-run demand than the short-run demand. So the answers are shortage and larger.

A shortage occurs when there is a difference between the quantity that is supplied and the quantity that is required of a product, service, or resource. Surplus is a term used to describe situations where there is more supply than demand for a product, service, or resource.

So when the long-run demand is the same as the short-run demand, binding price ceilings typically result in a shortage when there is a lack of supply of products. And, the result will be larger in the case of the long run compared to the short run. Therefore, the first blank can be filled with shortage and the second blank with larger.

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The following formula is used for conversion of amu to kg:

1 amu = 1.66054 x [tex]10^{-27}[/tex]kg

The atomic mass unit (amu) is a unit of mass used in chemistry and physics to express the masses of atoms and molecules, whereas the kilogramme (kg) is the International System of Units' basic unit of mass (SI). We may use the following relationship to convert from amu to kg:

1.66054 x  [tex]10^{-27}[/tex]kg = 1 amu

To convert a mass from amu to kg, multiply the mass in amu by 1.66054 x [tex]10^{-27}[/tex]. For instance, if we have a mass of 10 amu, we may convert it to kg using the formula:

10 amu x 1.66054 [tex]10^{-27}[/tex] kg/amu = 1.66054 [tex]10^{-26}[/tex] kg.

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The result of 2/3 in decimals is 0.667

To convert a fraction to a decimal, you simply need to divide the numerator (the top number) by the denominator (the bottom number).

In this case, we have:

2 ÷ 3 = 0.666666...

This decimal representation of 2/3 is a repeating decimal, which means that the digit 6 repeats indefinitely.

To write this number as a decimal with a finite number of decimal places, we can round it off to a certain number of decimal places.

For example, rounding to two decimal places gives:

2/3 ≈ 0.67

Rounding to three decimal places gives:

2/3 ≈ 0.667

And so on. The number of decimal places to which you round depends on how precise you need the answer to be.

Therefore, 2/3 is 0.667

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Using the substitution to solve the following system of equations, 4x+2y=36

y=2x-2 we get value of x as 5 and y is equal to 8.

There are two methods for solving simultaneous linear equations: graphical methods and algebraic methods. The algebraic technique includes the substitution method as one of its categories.

We have two equations as,

4x+2y=36

y=2x-2

Substituting the value of y = 2x - 2 in the equation 1 we get,

4x + 2(2x - 2) = 36

4x + 4x - 4 = 36

8x = 36 + 4

8x = 40

x = 5

And y = 2 x 5 - 2 = 8

Therefore, the value of x is 5 and y is 8.

The algebraic approach for solving simultaneous linear equations is the substitution method. The value of one variable from one equation is substituted in the second equation, as the name implies. In this manner, a pair of linear equations is reduced into a single linear equation with only one variable, which can then be solved quickly. Before beginning to solve linear equations using the substitution approach, learn about the algebraic and graphical methods.

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Answer:

Repeating

Step-by-step explanation:

A Tessellation is when you cover a surface with a pattern of flat shapes, so there are no gaps. So, the answer is Repeating.

There are 28 dozens of eggs.

The number of dozens of eggs is obtained applying the proportions in the context of the problem.

Each dozen is composed by 12 eggs, hence the number of dozens in n eggs is obtained dividing n by 12.

Then the number of dozens in 336 eggs is obtained as follows:

336/12 = 28 dozens of eggs.

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Answer:

The angles are 178.1° and 1.9°

Step-by-step explanation:

Supplementary angles add up to 180°
Let the angles be x and y with x being the larger angle

x = 176.2 + y
x - y = 176.2         (1)

Since they add up to 180 we also get
x + y = 180           (2)

Equations added: (1) + (2)

x - y + x + y = 176.2 + 180

2x = 356.2

x =  356.2/2 = 178.1°

y = 180 - 178.1 = 1.9°

There are 364 days in 52 weeks.

A day is an approximate time it takes for the Earth to complete one spin.

It is defined as exactly 86,400 seconds.

In one week there are 7 days.

There are 52 weeks in a year.

To find out how many days in 52 weeks,

To get the number of days in a given week we have to multiply weeks by the days in a week.

As we know that, 7 days means a one week,

We can calculate the number of days in 52 weeks by multiplying 52 weeks by 7 days:

52 x 7  = 364 days

Therefore, there are 364 days in 52 weeks.

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Answer:

Focus on strategic measures.

Develop performance measurement skills.

Get board and CEO buy-in.

Track progress over time.

Measure often.

Step-by-step explanation:

The required, fourth term of the geometric sequence is 64.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
We can use the formula for the nth term of a geometric sequence to solve the problem. The nth term of a geometric sequence with first term a and common ratio r is given by:

[tex]an = ar^(n-1)[/tex]

In this case, the first term is 14 and the common ratio is 2. So the nth term is:

[tex]an = 14*2^{n-1}\\[/tex]

So

[tex]14(2^{n-1}) = 64\\2^{n-1} = 64/14 = 32/7[/tex]

To solve for n, we can take the logarithm of both sides of the equation. We can use any base for the logarithm, but it's usually convenient to use base 2 since the equation involves powers of 2. So

[tex]log_2(2^{n-1}) = log_2(32/7)\\(n-1) = log_2(32/7)\\n = log_2(32/7) + 1[/tex]

Using a calculator, we can approximate log_2(32/7) as 2.665. So:

n = 2.665 + 1

n ≈ 3.665

Since n must be a whole number (we're looking for a specific term of the sequence), we can round up to the nearest integer to get:

n = 4

Therefore, the fourth term of the sequence is 64.

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