Idk why but I need an image answer for this...
8.25
x6.75

Answer:

Step-by-step explanation:

you have alternate angles, which are equal

6z-91=71

6z=71+91=162

z=162/6=27

z=27

y=180-27=153

American Vietnam War protests intensified when the United States and South Vietnamese forces invaded Cambodia in 1970.

In April 1970, President Richard Nixon authorized the expansion of the Vietnam War into neighboring Cambodia with the aim of disrupting North Vietnamese supply routes and bases. This decision sparked a wave of protests across the United States as it represented an escalation of the war and a widening of the conflict beyond the borders of Vietnam. The invasion of Cambodia led to a significant increase in anti-war demonstrations and rallies, with many people expressing their opposition to the expansion of the war effort.

This sparked outrage among anti-war activists who saw it as an escalation of the conflict and an unjustifiable expansion of the war. The protests led to widespread demonstrations, strikes, and student unrest across the country, ultimately contributing to a shift in public opinion against the war.

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We use the parallelogram-shaped sponge to create the T-shirt design. The area of the design is 66 square inches. 22 times we will use the sponge to create the design.

Parallelogram:

The term "parallelogram" comes from the Greek word "parallelogram on" which means "surrounded by parallel lines". A parallelogram is a quadrilateral bounded by parallel lines. A shape with opposite sides parallel and equal. Parallelograms fall into three main types: squares, rectangles, and rhombuses, each with its own characteristics.

According to the Question:

Area of the parallelogram-shaped sponge = base × height

                                                                        = 3 inches × 1 inch

                                                                        = 3 square inches

And,

Area of design = 66 square inches

Now,

Number of times to use the sponge to create the design

= Area of design ÷ Area of parallelogram-shaped sponge

= 66 square inches ÷ 3 square inches

= 22 Times

Therefore,

The sponge can be used 22 times to create the design.

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The value of f'(x) at x=2 is approximately -0.079.

To find the value of f'(x) at x=2, we need to first find the derivative of f(x).

The derivative of f(x)=e^-x cosx-1 can be found using the product rule:
f'(x) = (e^-x)(-sinx) + (-e^-x)(cosx)

Simplifying, we get:
f'(x) = -e^-x sinx - e^-x cosx

Now, we can plug in x=2 to find the value of f'(x) at x=2:
f'(2) = -e^-2 sin2 - e^-2 cos2

Using a calculator, we can find that e^-2 ≈ 0.135, sin2 ≈ 0.909, and cos2 ≈ -0.416. Plugging these values into the equation, we get:
f'(2) = -0.135(0.909) - 0.135(-0.416) ≈ -0.079

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Angle E, since it is a right triangle the other two have to be acute.

Answer:

x=110

Step-by-step explanation:

360-(110+90+50)=110

x=110

Answer: Yes it can!

Step-by-step explanation:

This is called a scalene triangle, where all 3 sides are different lengths.

No, it does not follow that y is an interval or a ray in x. A convex subset of an ordered set is a set that contains all the points between any two points in the set.

This means that a convex subset of an ordered set could be a collection of points, it could be an interval, or it could be a ray. A proper subset of an ordered set is any subset except the entire set, so a proper subset of an ordered set could be any of these possibilities.

Therefore, while a proper subset of an ordered set that is convex in that set must be a collection of points, an interval, or a ray, it does not necessarily have to be one of those three options.

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The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

\(\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)\)     (1)

\(\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}\)   (2)

\(\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}\)   (3)

Where \(\theta\) is resultant angle, measured in degrees.

If we know that \(\|\vec u\| = 90\), \(\theta_{u} = 40^{\circ}\), \(\|\vec v\| = 60\), \(\theta_{v} = 20^{\circ}\), \(\|\vec w\| = 40\) and \(\theta_{w} = 30^{\circ}\), then the resultant, its magnitude and its direction:

\(\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})\)

\(\vec r = (-54.824, 18.531)\)

\(\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}\)

\(\|\vec r\| \approx 57.871\)

\(\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)\)

\(\theta \approx 198.676^{\circ}\)

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. \(\blacksquare\)

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The required  cost of each shirt is $21.28.

A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.

The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:

3s + 7.99 = 71.83

To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:

3s = 63.84

Then, we can divide both sides by 3:

s = 21.28

Therefore, the cost of each shirt is $21.28.

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The statement that is true about equations and expressions is that an example of an equation is because it shows that two expressions are equal.

While an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.

An equation is a mathematical statement where two expressions are equal. It's important to note that an equation has an equals sign, so the left side of the equation is equal to the right side of the equation.

Expressions are combinations of numbers, symbols, and operators that represent a value. A symbol or letter that represents a value is a variable. It's important to note that an expression does not have an equals sign, so the value of the expression is not defined.Why is an example of an equation true?An equation can be written in the form x = y. The equals sign indicates that x and y are equal. This means that two expressions, x and y, are equal. Therefore, an equation shows that two expressions are equal.

An example of an equation is 3x + 4 = 10. This equation is an example of an equation because it shows that two expressions, 3x + 4 and 10, are equal. The left side of the equation (3x + 4) equals the right side of the equation (10). Therefore, this statement is true: "An example of an equation is because it shows that two expressions are equal."

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its b so please mark me as a brainliest

If we write out the expression √4√6/√3√2, then we get the solution to the surd as 2.

A surd is an irrational number which is often shown as a square root. In this case, we have the value; √4√6/√3√2.

This is the same as; 2√6/√6. This now implies that we can cancel out the surd form which is shown as √6 hence the result of the expression is 2.

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Answer: IT IS B ;]

Step-by-step explanation:

OH YEAH

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

Answer: d

Step-by-step explanation:

The fuel efficiency of the vehicle with the greatest weight which is around 2375kg on this scatter-plot showing vehicle weights & fuel efficiency is 16 mpg.

The relationships between two variables in a data set are represented by graphs or scatter plots.  It displays data points on a Cartesian system or a two-dimensional plane. The dependent variable is represented or plotted on the Y-axis, while the independent variable or attribute is plotted or represented on the X-axis. The scatter plot's objective is to show what happens to one variable when another variable is modified. A theory that the two variables are connected is tested using the scatter plot.

The scatter plot shows the vehicle weights & fuel efficiency.

Data represented on X-axis(independent variable) : weights of vehicle

Data represented on Y-axis(dependent variable) : fuel efficiency.

Lowest weight of vehicle=1125 kg(approx)

Greatest weight of the vehicle=2375 kg(approx)

Lowest fuel efficiencies of surveyed vehicles=16 mpg.

Greatest fuel efficiency of surveyed vehicles=30 mpg.

∴The fuel efficiency of the heaviest vehicle=16 mpg.

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Each item costs: 5.50 for a popcorn, 1.90 for a soda, and 2.50 for a hotdog.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of a hotdog.

If popcorn costs 3 more than a hotdog, then

3 + x = cost of a popcorn.

If a soda costs 0.60 less than a hotdog, then

x - 0.60 = cost of a soda.

If a popcorn, a soda, and a hotdog at the movies is 9.90, then

(3 + x) + (x - 0.60) + x = 9.90

Simplify the equation and solve for the value of x.

(3 + x) + (x - 0.60) + x = 9.90

3 + x + x - 0.60 + x = 9.90

3x = 9.90 - 3 + 0.60

3x = 7.50

x = 2.50

cost of a hotdog = x = 2.50

cost of a popcorn = 3 + x = 3 + 2.50 = 5.50

cost of a soda = x - 0.60 = 2.50 - 0.60 = 1.90

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There will be 262080 strings of length 12  over the alphabet {a, b, c, d} start with aa or end with aa or both

To count the number of strings of length 12 over the alphabet {a, b, c, d} that start with "aa" or end with "aa" or both, we can use the principle of inclusion-exclusion.

Let A be the set of strings of length 12 that start with "aa", and let B be the set of strings of length 12 that end with "aa". We want to count the size of the union A ∪ B, which is the set of strings that satisfy at least one of the two conditions.

The size of A can be counted by fixing the first two positions to be "aa", and then the remaining 10 positions can be filled in with any of the four letters. Therefore, the size of A is 4^10.

Similarly, the size of B can be counted by fixing the last two positions to be "aa", and then the first 10 positions can be filled in with any of the four letters. Therefore, the size of B is also 4^10.

However, we have double-counted the strings that both start with "aa" and end with "aa". These strings have "aa" in the first two positions and "aa" in the last two positions, so they have the form "aa______aa", where the blank spaces can be filled in with any of the four letters. There are 4^8 such strings.

By the principle of inclusion-exclusion, the size of A ∪ B is given by:

|A ∪ B| = |A| + |B| - |A ∩ B|

= 4^10 + 4^10 - 4^8

= 2 * 4^10 - 4^8

= 262080

Therefore, over the letters a, b, c, and d, there are 262080 strings of length 12 that either begin with "aa" or finish with "aa," or both.

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BD = CD and AB = AC, we can see that cos(BDA) = cos(CDA), which means that angle BDA is congruent to angle CDA.

To show that triangle ABD is congruent to ACD using the SSS congruence theorem, we need to prove that all three sides of triangle ABD are congruent to the corresponding sides of triangle ACD.

Let's label the sides of the triangles as follows:

AB = AC (given)

BD = CD (given)

AD = AD (common side)

Therefore, we have two pairs of congruent sides and one common side, which satisfies the SSS congruence theorem. Hence, triangle ABD is congruent to ACD.

Now, using the congruent triangles ABD and ACD, we can prove that angle BDA is congruent to angle CDA.

Since triangle ABD is congruent to ACD, we have:

AB = AC (given)

BD = CD (given)

AD = AD (common side)

Angle ABD = Angle ACD (corresponding angles of congruent triangles)

Therefore, by the Law of Cosines:

cos(BDA) = (AD^2 + BD^2 - AB^2) / (2 x AD x BD)

cos(CDA) = (AD^2 + CD^2 - AC^2) / (2 x AD x CD)

Since AB = AC, we have AB^2 = AC^2, and therefore, we can write:

cos(BDA) = (AD^2 + BD^2 - AB^2) / (2 x AD x BD)

cos(CDA) = (AD^2 + CD^2 - AB^2) / (2 x AD x CD)

We know that BD = CD and AB = AC, so we can simplify these expressions as follows:

cos(BDA) = (AD^2 + BD^2 - AB^2) / (2 x AD x BD)

cos(CDA) = (AD^2 + BD^2 - AB^2) / (2 x AD x BD)

Since BD = CD and AB = AC, we can see that cos(BDA) = cos(CDA), which means that angle BDA is congruent to angle CDA.

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Step-by-step explanation:

What notes are you speaking of?

Step-by-step explanation:

Since 1 gallon = 4 quarts ⇒ (1/2) gallons = 2 quarts

1 gallon = 8 pints ⇒ (1/2) gallons = 4 pints

1 gallon = 16 cups ⇒ (1/2) gallons = 8 cups

Therefore from the given relation with gallons we can describe the relation between the cups, quarts and pints.

(1/2) Gallon > quarts > pints > cups

If we need 1 cup of milk then a pint container will be the best choice at a grocery store.

The expression to show the cost in dollars of the kit after the discount is 0.8x.

A school supply kit costs x dollars. A sale offers a 20% discount on the kit.

Therefore, the expression that shows how to find the cost in dollars of the kits after the discount.

Hence, the expression is as follows;

An algebraic expression consists of unknown variables, numbers and arithmetic operators like addition and subtraction.

Hence,

cost in dollars after discount = x - 20%x

cost in dollars after discount = x - 0.2x

cost in dollars after discount = 0.8x

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The airplane will become balanced if we add a 100- pound weight to the baggage compartment.

An airplane is used to convey people and goods from one point to another by air. The airplane must be airlifted. This means that the airplane must be balanced while on air. If the airplane is not balanced, it may be difficult to control.

Looking at the situation of this airplane, the airplane will become balanced if we add a 100- pound weight to the baggage compartment.

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According to the strict necessity test, Conclusions of inductive arguments do not follow by strict logical necessity from their premises. The correct option is a).

It means that even if the premises of an inductive argument are true, the conclusion can still be false, and the truth of the premises does not guarantee the truth of the conclusion.

Inductive reasoning involves making generalizations based on specific observations or evidence, but it does not provide conclusive proof like deductive reasoning. Therefore, the conclusions of inductive arguments are not necessarily true, even if the premises are true. So, The correct answer is a).

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Answer:

15x^3y+6x^2y^2+9xy^3

Step-by-step explanation:

3xy ( 5x^2 +2xy +3y^2)

Distribute the 3xy to all terms in the parentheses

3xy*5x^2+3xy*2xy+3xy*3y^2

15x^3y+6x^2y^2+9xy^3

Answer:

15\(x^{3}\)y + 6\(x^{2}\)\(y^{2}\) + 9x\(y^{3}\)

Step-by-step explanation:

multiple everything in the brackets by 3xy

3xy x 5\(x^{2}\) = 15\(x^{3}\)y

3xy x 2xy = 6\(x^{2}\)\(y^{2}\)

3xy x 3\(y^{2}\) = 9x\(y^{3}\)

15\(x^{3}\)y + 6\(x^{2}\)\(y^{2}\) + 9x\(y^{3}\)

The vector makes an angle of approximately -84.29 degrees with the positive x-axis.

To find the angle that a vector from the origin to the point (1, -10) makes with the positive x-axis, we can use trigonometry.

First, we need to determine the values of the coordinates (x, y). In this case, x = 1 and y = -10.

The angle θ between the vector and the positive x-axis can be found using the Arctan function:

θ = arctan(y / x)

Substituting the values, we have:

θ = arctan((-10) / 1)

Evaluating the arctan function, we find:

θ ≈ -84.29 degrees

Therefore, the vector makes an angle of approximately -84.29 degrees with the positive x-axis.

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It should be B correct me if I'm wrong but it should be B.

Answer:

4.  Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Step-by-step explanation:

Option 1, 2 and 3 will return a shape back to its original because:

1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.

2. Reflect over line p, and over p again.

This actions are also direct opposite and also have the same effect as (1)

3. Translate 1 unit to the right and 3 units to the right.

This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.

4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.

Hence:

4 answers the question

Answer:

32

Step-by-step explanation:

4*8=32

8+8+8+8=32

4+4+4+4+4+4+4+4=32