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Which quadrilaterals have all of the properties of a parallelogram?

A) rhombus,kite, and trapezoid
B) rhombus, rectangle, and square
C) rhombus, kite, and square
D) Rhombus trapezoid, and rectangle

Answers

Answer 1

Answer:

The correct answer is B) rhombus, rectangle, and square.

A parallelogram is defined as a quadrilateral with two pairs of parallel sides. A rhombus, a rectangle, and a square are all special cases of parallelograms with additional properties.

A rhombus is a parallelogram with all sides equal in length.

A rectangle is a parallelogram with four right angles.

A square is a parallelogram with four equal sides and four right angles.

A kite and a trapezoid are not parallelograms since they do not have two pairs of parallel sides. While a trapezoid has one pair of parallel sides, a kite has no parallel sides.


Related Questions

Find m1 if m5 =142 and m4=65

Answers

The value of m∠1 is 103°. The solution has been obtained by using the angle sum property.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the three internal angles of a triangle is 180 degrees.

We are given that m∠5 = 142° and m∠4 = 65°.

Since m∠5 and m∠2 lie on a straight line so, they form a linear pair.

So,

⇒ m∠5 + m∠2 = 180°

⇒ 142° + m∠2 = 180°

⇒ m∠2 = 38°

We know that sum of angles of a triangle is 180°.

So,

⇒ m∠3 + m∠4 + m∠2 = 180°

⇒ m∠3 + 65° + 38° = 180°

⇒ m∠3 + 103° = 180°

⇒ m∠3 = 77°

Now, since m∠3 and m∠1 lie on a straight line so, they form a linear pair.

So,

⇒ m∠3 + m∠1 = 180°

⇒ 77° + m∠1 = 180°

⇒ m∠1 = 103°

Hence, the value of m∠1 is 103°.

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The complete question and the figure has been attached below.

Question: Find m∠1 if m∠5 = 142° and m∠4 = 65°.

Consider the following function.

p(x)=2−29x
Step 1 of 2 : Find the slope and the y-intercept. Express the intercept as an ordered pair. Simplify your answer.

Answers

The slope of the function is -29 and the y-intercept is the point (0, 2).

What is function ?

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. It is a rule that assigns to each element of a set (called the domain) exactly one element of another set (called the range).

To find the slope and y-intercept of the function p(x) = 2 - 29x, we can write it in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

So, by comparing p(x) = 2 - 29x with y = mx + b, we can see that:

m = -29 (the coefficient of x)

b = 2 (the constant term)

Therefore, the slope of the function is -29 and the y-intercept is the point (0, 2).

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4.4 ×10 with the power of 3=

Answers

After answering the presented question, we can conclude that The answer for the following expression will be as follows  [tex]4.4 X 10^3 = 4400[/tex]

what is expression ?

In mathematics, you can double, divide, add, or subtract something. The following is an expression: Expression, numerical value, and math operator A mathematical expression is made up of numbers, parameters, and functions. Opposing sentences and expressions are possible. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and a mathematical action between them. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical sign +.

The answer for the following expression will be as follows

[tex]4.4 X 10^3 = 4400[/tex]

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Confidence intervals are constructed to estimate the population parameter (like the mean) a specified proportion of the time. The upper and lower interval estimates are often described as the

Answers

The upper and lower interval estimate are often describe as associated with a specific level of confidence.

What is Interval Estimate?

In statistics, interval estimate is the process of determining the interval, or range of values, within which a parameter—such as the mean (average) of a population—is most likely to fall.

The interval encompassing a population parameter is determined by computing the statistic from values obtained from a random sample chosen from the population and by using the understanding (derived from probability theory) of how accurately sample properties reflect those of the full population.

The possibility that the estimated confidence interval estimate will include the genuine population parameter is frequently referred to as the confidence level.

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Will mark brainliest answer!

What's the best place to eat at? (Restaruant, Fast Food, Buffet, Cafe, etc.)​

Answers

Answer:

Step-by-step explanation:

Me personally, I think buffets are the best because you can take as music food as you much, without being charged for much! But thats only for some buffets. If you go to a chinese buffet, they might lower the price allowing you to get as much food as you please!

How much is 1/12 in milliters?

Answers

The conversion of 1/12in to milliters  can be expressed as 2.117mm

How can the conversion be done?

Just dividing the number of conversions by the total number of ad interactions that can be linked to a conversion within the same time period yields the conversion rate. As an illustration, if you had 1,000 interactions and 50 conversions, your conversion rate would be 5% because 50 x 1,000 = 5%.

The proportion of users who perform the intended action is known as the conversion rate. The proportion of website visitors who make a purchase there serves as the prototypical illustration of conversion rate.

We can  1/12in to milliters by using the conversion rate, which 1inch = 25.4mm,and this can be used to make the conversion as:

If  1inch = 25.4mm

 1/12 = X mm

Xmm =  (1/12 *25.4mm)/ 1inch

=2.117mm

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complete question:

How much is 1/12in to milliters?


Identify the discriminant value of the quadratic equation m² + 18m + 17 = 0.

Answers

Answer:

Step-by-step explanation:

The discriminant value (denoted by Δ) of a quadratic equation in the form of ax² + bx + c = 0 is given by the expression b² - 4ac.

For the quadratic equation m² + 18m + 17 = 0, a = 1, b = 18, and c = 17. Substituting these values into the expression for the discriminant, we get:

Δ = b² - 4ac

Δ = (18)² - 4(1)(17)

Δ = 324 - 68

Δ = 256

Therefore, the discriminant value of the quadratic equation m² + 18m + 17 = 0 is 256.

A hardware store sells nylon rope for $0.89/yd. A lumber yard sells the same rope for $0.94/m.
a) Which store sells the rope for a lower price? Explain your answer.
b) How much money would Jim save if he purchased 650 ft. of the less expensive rope, before taxes?
pls complete a and b!! ​

Answers

Therefore , the solution of the given problem of unitary method comes out to be 14.7 dollars  before taxation, assuming he bought 650 feet of the cheaper rope.

What is an unitary method?

The job can be completed by bringing together what was learned and applying this variable technique, that also includes all supplementary data from two people that utilized a specific tactic. To put it another way, if the desired outcome materialises, either the entity stated in the calculation will be recognised, or both expression essential processes will truly skip the colour. For forty pencils, a refundable charge of Rupees ($1.01) might be required.

Here,

To evaluate the prices, we need to use the same units.

Since 0.9144 metres make up one yard, we can convert the cost of the rope at the hardware shop to dollars per metre as follows:

=> 0.89 dollars/yard * 1 yard/0.9144 meters = 0.97 dollars/meter

b) We must change the units to yards or metres in order to evaluate the costs of 650 feet of rope. 650 feet is equivalent to 3 yards, which is:

=> 650 feet x 3 feet per yard = 216.67 yards

The hardware store's price for the cord is:

=>  192.5 dollars ($0.89/yard x 216.67 yards)

At the timber yard, the price of the rope is:

=>  (216.67 yards * 0.9144 meters/yard) * 0.94 dollars/meter = 177.8 dollars.

Jim would therefore save:

=>  192.5 dollars - 177.8 dollars = 14.7 dollars.

before taxation, assuming he bought 650 feet of the cheaper rope.

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What are the x- and y-intercepts of f(x) - 3x - 4?

Answers

The x- and y-intercepts as required to be determined in the task content are; (-4/3, 0) and (0, -4).

Which points represent the x- and y-intercepts of the function?

As evident in the task content; the given function is; f(x) = - 3x - 4.

The x-intercept represents the value of x when f(x) = 0.

0 = -3x - 4

3x = -4

x = -4 / 3.

The y-intercept represents the value of f(0); hence, we have that;

f (x) = -3(0) - 4

f(0) = -4.

Ultimately, the points which correctly represents the x- and y-intercepts are; (-4/3, 0) and (0, -4).

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HELP!!
show you're work please...

Answers

The height of the trapezoid with an area of 21 square centimeters is equal to 3 cm.

How to evaluate for the height of the trapezoid

area of a trapezoid is calculated using the formula: 1/2 × (A + B) × height where A is and B are the parallel bases.

we shall represent the height of the trapezoid with the letter h so that:

21 cm² = 1/2 × (5 + 9) cm × h

21 cm² = 1/2 × 14 cm × h

21 cm² = 7 cm × h

divide through by 7 cm

h = 21 cm²/7 cm

h = 3 cm

Therefore, the height of the trapezoid with an area of 21 square centimeters is equal to 3 cm.

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Weber Jewelry advertised a diamond necklace for $572.95 and a gold pendant for $113.76. The state tax is 6.5 percent and the city tax is 0.5 percent. What is the total purchase price?

Answers

Therefore, the total purchase price is $734.78.

What are profits?

Profit is the financial gain obtained by subtracting the cost (or expenses) of producing and selling goods or services from the revenue generated from their sale. In other words, profit is the amount of money that is left over after all expenses have been paid, including the cost of goods sold, operating expenses, taxes, and any other costs associated with running a business.

Profit can be calculated using the following formula:

Profit = Revenue - Cost

by the question.

To calculate the total purchase price, we need to calculate the tax and add it to the sum of the prices of the diamond necklace and the gold pendant.

The tax on the diamond necklace is:

572.95 * 0.065 = 37.24

The tax on the gold pendant is:

113.76 * 0.065 = 7.40

The total tax is the sum of these two taxes:

37.24 + 7.40 = 44.64

We also need to add the city tax, which is 0.5 percent of the total price:

(572.95 + 113.76) * 0.005 = 3.43

The total purchase price is the sum of the prices of the diamond necklace and the gold pendant, the state tax, and the city tax:

572.95 + 113.76 + 44.64 + 3.43 = 734.78

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Help!!

Question
Callie is buying fence for two triangular sections of her garden.

How much fence would she need for ​triangle DFG​ ?



Enter your answer in the box.
ft

Answers

Callie will need a total of 112 feet of fence for the triangle DFG.

How to find the amount of fence needed.

We can find the amount of fence needed by finding the relationship between both triangles and find the missing side.

The sum of all the sides of the triangle will be known as the perimeter of the triangle. we can use this knowledge to find the amount of fence needed.

Both triangles are similar and are in the ratio of 1:7To find the missing side of triangle DFG, we multiply the corresponding side of triangle BAC by 7 to find the missing side.

This will give us 7 x 7 = 49ft

To find the amount of fence needed for triangle DFG we add all the sides of triangle DFG which will be 49 + 35 + 28.

The total will be 112ft.

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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 4 people took the trip. She was able to purchase coach tickets for $140 and first class tickets for $1000. She used her total budget for airfare for the trip, which was $2280. How many first class tickets did she buy? How many coach tickets did she buy?

number of first class tickets bought = ___

Answers

The number of coach tickets purchased is 3, and the number of first-class tickets purchased is 8.

Let us assume the number of coach tickets purchased is x.

And the number of first-class tickets purchased is y.

Now,

Including Sarah, a total of 11 people took the trip.

Thus,

[tex]x + y = 11 [/tex]

The cost of coach tickets and first-class tickets are $210 and $1200 respectively.

The total budget for airfare for the trip is $10,230.

Therefore,

210x + 1200y = 102309

21x + 120y = 1023

Solving both the equations, we get.

x=3

y=8

Thus, The number of coach tickets purchased is 3, and the number of first-class tickets purchased is 8.

Please help will get max points + brainliest!

Answers

Answer:

a)  Area of inner square = 58 cm²

b)  Area of inner square = (2x² - 2xy + y²) cm²

Step-by-step explanation:

To calculate the area of a square, multiply the length of one of its sides by itself. This can be expressed as A = s², where A is the area and s is the side length of the square.

To calculate the area of a triangle, halve the product of its base and height. This can be expressed as A = (1/2)bh, where A is the area, b is the base and h is the height of the triangle.

The easiest way to calculate the area of the inner square is to subtract the areas of the 4 congruent triangles from the area of the outer square.

[tex]\hrulefill[/tex]

Part a)

The outer square has a side length of 10 cm. Therefore its area is:

[tex]\implies \sf A_{outer\;square} = 10^2 = 100 \; cm^2[/tex]

Each corner triangle has a height of 3 cm and a length of (10 - 3) cm.

Therefore, the area of one triangle is:

[tex]\implies \sf A_{triangle}=\dfrac{1}{2} \cdot 7 \cdot 3=10.5\;cm^2[/tex]

Therefore, the area of the inner square is:

[tex]\begin{aligned} \implies \sf Area\;of\;inner\;square&=\sf 100-(4 \cdot 10.5)\\&=\sf 100-42\\&=\sf 58\; cm^2\end{aligned}[/tex]

[tex]\hrulefill[/tex]

Part b)

The outer square has a side length of y cm. Therefore its area is:

[tex]\implies \textsf{A$_{\sf outer\;square}$} = y^2 \; \sf cm^2[/tex]

Each corner triangle has a height of x cm and a length of (y - x) cm.

Therefore, the area of one triangle is:

[tex]\begin{aligned}\implies \sf A_{triangle}&=\dfrac{1}{2} \cdot (y-x) \cdot x\\\\&=\dfrac{1}{2}x(y-x)\;\sf cm^2\end{aligned}[/tex]

Therefore, the area of the inner square is:

[tex]\begin{aligned} \implies \sf Area\;of\;inner\;square&=y^2-4\left(\dfrac{1}{2}x(y-x)\right)\\\\&=y^2-2x(y-x)\\\\&=y^2-2xy+2x^2\\\\&=(2x^2-2xy+y^2)\; \sf cm^2\end{aligned}[/tex]

For every pound of warming gas produced by agriculture, how many pounds of gas are produced by transportation?

1.0
1.3
2.0
2.7
3.0

Answers

The answer to this question depends on the specific gases being compared, as different gases have different warming potentials. However, in general, transportation is a major contributor to greenhouse gas emissions and produces more greenhouse gases than agriculture. According to the US Environmental Protection Agency (EPA), transportation accounted for 28% of greenhouse gas emissions in the United States in 2018, while agriculture accounted for 9%. Therefore, we can estimate that for every pound of warming gas produced by agriculture, transportation produces more than one pound of warming gas.

Out of the given options, the closest answer would be 1.3 pounds of gas produced by transportation for every pound of warming gas produced by agriculture. However, it is important to note that this is only an estimate and the actual ratio may vary depending on the specific gases being compared and other factors.

Which is the following not true?

Answers

D is the correct answer

Gwen owes a total of $4,522.50 on revolving credit accounts that have total limits of $7,950.00. Calculate the amount she needs to pay on her debt to reduce her revolving credit accounts to reach a 25% debt-to-credit ratio.

Answers

The amount that she needs to pay on her debt to reach a 25% debt-to-credit ratio is given as follows:

$2,535.

How to obtain the amount that she needs to pay?

The amount that she needs to pay on her debt reach a 25% debt-to-credit ratio is obtained applying the proportions in the context of the problem.

She has a credit limit of $7,950.00, hence 25% of her credit limit is obtained as follows:

0.25 x 7950 = $1987.5.

She current has $4,522.50 on debts, hence the amount that she needs to pay for the debts to be reduced to $1987.5 is given as follows:

4522.5 - 1987.5 = $2,535.

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Find the value of x. Round your answer to the nearest tenth.​

Answers

Answer:

Step-by-step explanation:

9. sin 18 = x/21

 x = 21* sin 18

  x = 6.5

10. tan 55 = 29/x

  x* tan 55 = 29

x = 29/tan 55

x = 20.3

11. sin 23 = x/25

  x = 25 * sin 23

  x = 9.8

12. sin 47 = 33/x

  x * sin 47 = 33

 x = 33/sin 47

  x = 45.1

HELP ASAP WILL GIVE 100 POINTS AND BRAINLYEST IF YOU DON"T ANSWER WITH THE INTENT TO ANSWER CORRECTLY I WILL REPORT YOU

Answers

1. repeating decimal
2. non-terminating/non-repeating
3. terminating
4. whole number

Line AB intersects line CD at point F. If m<AFC=(7x-8)° and m<BFD=(5x+6)°, what is m<BFD?
82°
48°
41°
7°​

Answers

76 is m<BFD in linear equation.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                 The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.

 m<AFC + m<BFD = 180°

   (7x-8)° +   m<AFC = 180°

   (5x+6)° +  m<BFD =  180°

     

(7x-8)° = (5x+6)

 2x = 12

    x = 14

m<BFD=(5x+6)°

       = 5 * 14 + 6

        = 70 + 6

          = 76

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Please answer this for me quick i have another one

Answers

The value of the fraction x/y is 3/25 and option b is the correct answer.

What are fractions?

An expression for a portion of a whole is a fraction. In general, the whole can be any particular object or value, and the fraction might be a piece of any quantity out of it.

The top and bottom numbers of a fraction are explained by the fundamentals of fractions. The bottom number reflects the entire number of components, while the top number represents the number of chosen or coloured portions of the whole.

The given equation is:

5x + y / y = 8/5

Divide the terms individually at the left side of the equation:

5x/y + y/y = 8/5

5 (x/y) + 1 = 8/5

5 (x/y) = 8/5 - 1

5 (x/y) = 3/5

x/y = 3/25

Hence, the value of the fraction x/y is 3/25 and option b is the correct answer.

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A ball that is thrown upward follows the path h(t)=-t^2+8t+32, where h(t) represents the height of the ball above the ground at time t, and t represents the time since the ball was thrown. How high above the ground did the ball reach? show work

Answers

Answer:

Step-by-step explanation:

To find the maximum height of the ball, we need to find the vertex of the parabolic function h(t) = -t^2 + 8t + 32. The vertex represents the highest point of the parabolic curve.

The x-coordinate of the vertex is given by the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = -1 and b = 8, so we have:

x = -b/2a = -8/(2(-1)) = 4

Therefore, the vertex occurs at time t = 4.

To find the y-coordinate of the vertex, we evaluate the function at t = 4:

h(4) = -4^2 + 8(4) + 32 = 16 + 32 = 48

Therefore, the ball reaches a maximum height of 48 feet above the ground.

It is observed that 3 out of every 5 drills made at an oil-drilling site strike oil. The results from 50-simulation trials of the model showed 1 out of 5 drills
are guaranteed to strike oil. What is the hypothesis, and based on the results from the simulation trials, what should be concluded about the
hypothesis?
A. The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.
B. The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, it can be concluded that the hypothesis is
correct.
C. The hypothesis is that at least 3 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.
D. The hypothesis is that at least 3 out of 5 drills will strike oil. Based on the results from the simulation trials, it can be concluded that the hypothesis is
correct.

Answers

The answer is A.

The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.

I WILL GIVE BRANLIST ONLYNOF YOUR RIGHT
Determine the scale factor used to create the image

A 1/2

B 2

C 1/4

D 4

Answers

Answer:

Step-by-step explanation:

b

Two step equations that equal 23

Answers

1. (2x10)+3= 23

2. (6x4)-1=23

What is the answer of this p³+10+m-m if m=8 and p=3 equal

Answers

Given:-

p=3m=8

Solution:-

p³+10+m-m

put the value of p nd m in eqⁿ :

( 3 )³ + 10 + 8 - 827 + 10 + 8 - 827 + 1037

━━━━━━━━━━━

hope it helps⸙

The value of expression at m = 8 and p = 3 is,

⇒ 37

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ p³ + 10 + m - m

Now,

Put m = 8 and p = 3 in above expression, we get;

⇒ p³ + 10 + m - m

⇒ 3³ + 10 + 8 - 8

⇒ 27 + 10

⇒ 37

Thus, The value of expression at m = 8 and p = 3 is,

⇒ 37

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Twenty percent of Americans ages 25 to 74 have high blood pressure. If 26 randomly selected Americans
ages 25 to 74 are selected, find the probability that one-half have high blood pressure.
Please write your answer as a decimal. Round your answer to seven decimal places.

Answers

The probability that one-half of the selected people will have high blood pressure is given as follows:

P(X = 13) = 0.0004684.

What is the binomial distribution formula?

The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.

The mass probability formula is given by the equation presented as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters, along with their meaning, are listed as follows:

n is the fixed number of independent trials.p is the constant probability of a success on a single independent trial of the experiment.

The parameter values for this problem are given as follows:

n = 26, p = 0.2.

One-half of 26 is of 13, hence the probability is given as follows:

P(X = 13) = 26!/(13! x 13!) x (0.2)^13 x (0.8)^13

P(X = 13) = 0.0004684.

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Function or not a function answers

Answers

Answer:

Only the set of ordered pairs is one-to-one

Step-by-step explanation:

You have three right

The last one:
A function is one-to-one if and only if, for every value of y there is only one value of x

The mapping diagram is not one-to-one since for two values of x, x = -3 and x = 5 we get the same y value of 6

The set of ordered pairs is a one-to=-one since for every value of y there is a unique value for x

G
Which inequality has a dashed boundary line when graphed?
3
oy²x+1
O y²-3x+1
2
Oy> 3x+1
O y≤7x-1

Answers

The inequality that has a dashed boundary line when graphed is:

y > 3x + 1

What is inequality?

In mathematics, an inequality is a statement that two quantities are not equal or do not have the same value. In other words, it is a statement that compares two values, expressing that one value is greater than, less than, or not equal to the other value. An inequality is denoted by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

What is Dashed boundary?

In mathematics, a dashed boundary refers to a boundary line that is graphed as a dashed line rather than a solid line. The use of a dashed line is typically used to indicate that the boundary itself is not included in the set of solutions of an inequality or equation.

In the given question,

The inequality that has a dashed boundary line when graphed is:

y > 3x + 1

The reason for this is that when graphed, the boundary line of the inequality y > 3x + 1 is a straight line, but it is dashed instead of solid. This is because the inequality is strict, meaning that the boundary line itself is not included in the set of solutions. On the other hand, if the inequality had been y ≥ 3x + 1, the boundary line would have been a solid line because the inequality is non-strict and includes the boundary line itself as a solution.

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Iti...
00
t
Get ready
and
Evaluate.
Hint: Use the image to help break 9 x 4 up into two expressions.
9x4
5 fours +
fours

Answers

Based on the image, we can break 9 × 4 into two expressions as 4 groups of 9 or 9 groups of 4. This equals 36.

How to explain the expression

It should be noted that to break 9 x 4 up into two expressions, you can use the distributive property of multiplication over addition, which states that a(b + c) = ab + ac.

So, we can rewrite 9 x 4 as:

9 x 4 = 9 x (3 + 1)

Using the distributive property, we can expand this expression as:

9 x (3 + 1) = (9 x 3) + (9 x 1)

Simplifying, we get:

9 x 4 = 27 + 9

Therefore, we have broken up 9 x 4 into two expressions: 27 and 9. This will give 36.

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Describe the differences between magnetic potential energy and electric potential energy What is the median of the numbers Does variance matter? Think of an example from your experienceand describe it. --- Use the drop-down menus to complete the statements below to answer this question: Can you determine whether a system of linear equations has a solution just by looking at the graph of the equations? The coordinates of (6,4) satisfy the equation y=13x + 6 because (6,4) ___. If (6,4) satisfies the equations of two lines, (6,4) is ___ , so the lines will ___ at (6,4). This means that if two lines ____ at (6,4), then (6,4) is the ____ to the system of equations.This means that if you substitute 6 for x and 4 for y in the equations, both equations will be ____. A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 3 liters per minute. The solution is mixed well and drained at 3 liters per minute. Let x be the amount of salt, in grams, in the fish tank after t minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dt, in terms of the amount of salt in the solution x and the unknown concentration of incoming brine c. dxdt= grams/minute Find a formula for the amount of salt, in grams, after t minutes have elapsed. Your answer should be in terms of c and t. x(t)= grams In 15 minutes there are 20 grams of salt in the fish tank. What is the concentration of salt in the incoming brine? c= g/L Assume that 70% of the cars on a particular freeway are traveling faster than 70 miles per hour. A random sample of 8 cars was observed under normal driving conditions with no police car in sight. What is the probability that 7 or more of them were going faster than 70 miles per hour? A. 0.55 B. 0.30 C. 0.20 D. 0.26 E. 0.49 (Use the chemical equation below to solve this problem.) A chemist has 25 grams of molecular chlorine. If all of the molecular chlorine in the reaction is consumed to form the product hydrogen chloride, how many grams of hydrogen chloride are produced? Great Lakes Packing has two bond issues outstanding. The first issue has a coupon rate of 3. 50 percent, a par value of $1,000 per bond, matures in 8 years, has a total face value of $3. 6 million, and is quoted at 109 percent of face value. The second issue has a coupon rate of 5. 94 percent, a par value of $2,000 per bond, matures in 21 years, has a total face value of $7. 9 million, and is quoted at 95 percent of face value. Both bonds pay interest semiannually. The company's tax rate is 40 percent. What is the firm's weighted average aftertax cost of debt What are the differences between the constitutional power and an inherent power for the President? Provide a current example of each type of power used by the current Administration. Varying masses of sodium metalreact with a fixed mass of chlorine. The graph shows the masses of sodium used and sodium chloride produced. Explain the general shape of the graph and identify the limiting and excess reagents. laCl (g) The following account balances were taken from the adjusted trial balance for Urgent Messenger Service, a delivery service firm, for the fiscal year ended November 30, 20Y1: Depreciation Expense $10,400 Fees Earned 552,200 Insurance Expense 1,980 Miscellaneous Expense 4,160 Rent Expense 79,000 Salaries Expense 277,700 Supplies Expense 3,540 Utilities Expense 30,200 Prepare an income statement for Urgent Messenger Service. Urgent Messenger Service Income Statement For the Year Ended November 30, 20Y1 $ Expenses: $ Total expenses $ What does the following line mainly reveal about Emma (paragraph 6)?"You are not going to die,' she said, as usual."A. Emma is obsessed with death.B. Emma wants to leave the room.C. Dr. Sassoman is trying to deceive Emma.D. Emma has stated previously that she is going to die.this is from the story Blind Using APA format, provide at least two citations with corresponding references, page number, and use appropriate in-text citation(s) . You are about to make a delicious chicken alfredo pasta for dinner but realise you are out of the Prego alfredo sauce so you rush to the supermarket to pick up a bottle. As you are heading down the aisle you notice a huge "buy one get one free" sign on marinara sauce! Explain in detail the changes that would occur in the demand curves for both products and why. Kevin provided services to several clients this year who paid with different types of property. Which of the following payments is not included in Kevin's gross income?Multiple ChoiceCash.Shares of stock listed on the New York Stock Exchange.A used car.Gold coins.All of these are included in gross income. Using traditional methods it takes 98 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test. After performing the test on 230 students, the researcher decides to reject the null hypothesis at a 0. 02 level of significance. What is the conclusion project management is a style that places a premium on multiple choice building relationships. including a diverse set of talent. maintenance operations. building relationships and including a diverse set of talent. extensive testing only. 05.04 Two Sides to Every Story WorksheetComplete the worksheet using your novel or short story for this module:Scout's Honor by Avi Twenty-One Balloons by William Pene du Bois please write about Twenty-One Balloons by William Pene du Bois or i will fail :(Part 1: Conflict Poster Complete the following poster based on your short story or novel. Enter title and author of your short story of novel here. Esperanza Rising by Pam Muoz RyanCharacter vs. SocietyPart 2: Conflict Timeline Complete the following timeline based on your short story or novel. enjoys a privileged life with her family in Mexico. Esperanza and her mother struggle to adapt to their new life as farmworkers and face discrimination from both the other workers and the landowners. Then she becomes involved in a strike to demand better wages and working conditions for the workers.Part 3: Perspective Paragraph Using your selected short story or novel, write a paragraph that includes the following: Start with a topic sentence that provides the title of your text, the author of your text, and a brief description of the plot so far. Write a sentence that identifies and describes the main conflict. Write two sentences that explain the protagonists perspective about the main conflict. Include a quote and page number from your selected text that supports the protagonists perspective. Write two sentences that explain the antagonists perspective about the main conflict. Include a quote and page number from your selected text that supports the antagonists perspective. Write a concluding sentence that sums up the opinions of the protagonist and antagonist. Do not include your personal opinion. Esperanza Rising by Pam Muoz Ryan, the protagonist, Esperanza faces the main conflict of adapting to life as a poor farmworker in California. Then her privileged of growing up to Mexico. Esperanza's perspective is the frustration and anger of unfair treatment She thinks, "Why did they always treat us like animals? We did the same work as they did, sometimes even better, but they still made fun of us and whispered under their breath" (on page 46). Esperanza's experiences had led her to feel that her and her other workers are being unjustly. the other hand, the antagonist in this conflict, is represented by landowners and other rich & wealthy people who can benefit from the system, "To them, we are like the rats that only come out at night" (page 69). This quote show how much landowners view the workers as unworthy of respect or fair treatment.Sorry for changing the story I cant buy the book so I did this one instead Identify the terms of the expression. Then give the coefficient of each term.k - 3d En la clase de carpintera, la profesora explica que se usan tarugos cilndricos de madera para unir las piezas de un escritorio. Las medidas de los tarugos se muestran en la siguiente imagen:Para armar un escritorio, Eduardo tendr que usar 20 tarugos, los que debe cubrir completamente con una capa de pegamento. l calcula que debe tener pegamento suficiente para cubrir 52 000 mm2 de la superficie de los tarugos usados. Sin embargo, su compaera Francisca le dice que esa cantidad de pegamento no alcanzar para cubrir todos los tarugos.Quin tiene la razn? Marca tu respuesta. Which expression is equivalent to the expression quantity negative 6 over 5 times t plus 3 over 16 end quantity minus expression quantity negative 7 over 10 times t plus 9 over 8 end quantity