What is the solution to –2(8x – 4) < 2x + 5?

x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6

Explanation:

Any percentage converts to that number over 100.

So 18% would convert to 18/100

We then reduce the fraction by dividing each part by the GCF 2

18/2 = 9

100/2 = 50

The fraction 18/100 fully reduces to 9/50

The missing values are:

BC = 25, BN = 16, NC = 9, and AN = 12

Given:

AB = 20

AC = 15

Using the Pythagorean theorem in triangle ABC:

CB = √AC² + AB²

CB= √20² + 15²

CB= √625

CB= 25

Since, AN is altitude we have ΔNBA~ΔABC and ΔNAC~ΔABC

BN / AN = BA / CB

BN/ 20= 20/25

BN = 16

and, AN / BA = AC / CB

AN /20 = 15/ 25

AN = 12

Now, CN=  CB - BN

CN = 25- 16

CN= 9

BC^2 = 20^2 + 15^2

BC^2 = 400 + 225

Since ΔANC is a right triangle so

AN = √15²-12²

AN = √81

AN = 9

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The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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There are 4 vertices with degree 3, and 2 vertices with degree 4. So, there are a total of 6 vertices in this graph.

In a simple undirected graph with 10 edges, 2 vertices have a degree of 4 and the rest have a degree of 3. To determine the number of vertices in this graph, use the formula:

Sum of degrees = 2 * number of edges

Let x be the number of vertices with degree 3. Then:

(2 * 4) + (3 * x) = 2 * 10

8 + 3x = 20

3x = 12

x = 4

We also know that two of the vertices have a degree of 4, which means that together they contribute 8 to the sum of all vertex degrees. This leaves us with 20 - 8 = 12 degrees left to distribute among the other vertices. Since the remaining vertices all have a degree of 3, we can set up the equation 3x = 12, where x is the number of remaining vertices. Solving for x, we get x = 4. Therefore, the graph has a total of 6 vertices - two with a degree of 4 and four with a degree of 3.

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Answer:  x > -8

Step-by-step explanation:

3x - 17 < 4x -  9   subtract 3x from both sides, and add 9 to both sides

-3x + 9 < -3x + 9

0  - 8   <  x  +  0      Rewrite and reverse the sign to simplify

     x > -8

Answer:

A= 24 m

Step-by-step explanation:

The formula for the area of a trapezoid is  A= \(\frac{a+b}{2}\) x h.

Using the formula you plug in the values:  

A= \(\frac{4 + 12} 2}\) x 3

2. Now you simplify the equation and solve

A = \(\frac{16}{2}\) x 3

A = 8 x 3

A = 24

Answer:

then KD would be equal?

Step-by-step explanation:

not sure, but try that

Answer:

C and D

Step-by-step explanation:

2x^2  + 7x + 6

(2x + 3)(x+2)

x = -3/2 = -1.5

x = -2

To solve the equation we first squared both sides of it, that is:

Now we can use the general formula for quadratic equations, then:

Now that we found two option for x, we have to check which of them is really a solution for the original equation (we have to do this since we squared the original equation to get rid of the root), to do this we plug the values we found to see if the eqaution holds.

If x=1:

hence x=1 is a solution for the original equation.

If x=-2:

since this is not true, x=-2 is not a solution for the original equation.

Therefore, the solution for the equation is x=1.

Proof:

Let \(x\) be the length of segment AB. By the power of a point formulas,

\(CB \cdot CA = CD \cdot CE\\\implies (2+\sqrt{5})(2+\sqrt{5}+x)=(2\sqrt{5})(4+3\sqrt{5}).\)

Expanding both sides, we get:

\(4+2\sqrt{5}+2x+2\sqrt{5}+5+x\sqrt{5}=8\sqrt{5}+30\\\implies 9+4\sqrt{5}+2x+x\sqrt{5} = 8\sqrt{5}+30\\\implies x(2+\sqrt{5})=21+4\sqrt{5}\\\implies x = \frac{21+4\sqrt{5}}{2+\sqrt{5}} = \frac{(21+4\sqrt{5})(2-\sqrt{5})}{(2+\sqrt{5})(2-\sqrt{5})} = \frac{42-21\sqrt{5}+8\sqrt{5}-20}{-1} = -(22-13\sqrt{5}) = 13\sqrt{5}-22.\)

Hence, it is possible for the length of AB to be in the form \(p\sqrt{5}+q\) for integers \(p\) and \(q.\)

The box plot most resembles the information above is given by the image of Box plot A, option 1.

A box plot or boxplot is a visual representation of the location, dispersion, and skewness groups of quartiles of numerical data. The box-and-whisker plot and box-and-whisker diagram are other names for box plots, which can additionally have lines (referred to as whiskers) extending from the box to indicate variability beyond the top and lower quartiles.

Santa Clara Country,  CA has approximately 27873 Japanese - Americans. Their ages are as follows :

Age Group  Percent of Community

0-17 18.9

18-24 8.0

25-34 22.8

35-44 15.0

45-54 13.1

55-64 11.9

 10.3

Summary of the data is ,

Minimum = 0

Maximum = 100

Q1 = 24

Q2 = 34

Q3 = 53

Inter Quartile Range = IQR

= Q3 - Q1 = 53 - 24 = 29 .

IQR = 29

According to above summery of the data,

The most resembles Boxplot is A.

Hence , Choose  option 1) Boxplot A is the answer.

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Based on the provided information, the box plot that best represents the data is Box plot A, which corresponds to option 1.

The box plot, also known as a box-and-whisker plot, visually displays the distribution of numerical data through quartiles, indicating the location, spread, and skewness of the data. It consists of a box that represents the interquartile range (IQR), with a line inside indicating the median. Whiskers extend from the box to show the range of the data, excluding outliers.

For the given data on the ages of Japanese-Americans in Santa Clara County, CA, the summary reveals the following statistics: the minimum age is 0, the maximum age is 100, and the quartiles are Q1 = 24, Q2 = 34, and Q3 = 53. The interquartile range (IQR) is calculated as Q3 - Q1, resulting in an IQR of 29.

Considering the characteristics of the data summary, the box plot that closely matches this description is Box plot A. Therefore, the correct answer is option 1) Boxplot A.

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Answer:

x=-1/10

Step-by-step explanation:

Answer:

Area = base x height

Step-by-step explanation:

8X11=88sq

Answer:

88 units^2

Step-by-step explanation:

The area of a parallelogram can be found using he following formula:

a=b*h

where b is the base and h is the height.

We know that 11 units is the base and 8 units is the height (forms a right angle with one of the bases).

b= 11 units

h= 8 units

Substitute these values into the formula.

a= 11 units * 8 units

Multiply

a= 88 units^2

The area of the parallelogram is 88 square units.

A two-wheeler covers a distance of 53.3 km in one litre of petrol. To find out how much distance it will cover in different amounts of petrol, we can use the concept of proportion.

(i) To find the distance covered in 4 litres of petrol, we can set up a proportion: 1 litre/53.3 km = 4 litres/x km. Cross multiplying, we get 1x = 4 * 53.3,

which simplifies to x = 213.2 km. Therefore, it will cover 213.2 km in 4 litres of petrol.

(ii) To find the distance covered in 10 litres of petrol, we can again set up a proportion: 1 litre/53.3 km = 10 litres/x km. Cross multiplying, we get 1x = 10 * 53.3,

which simplifies to x = 533 km.

Therefore, it will cover 533 km in 10 litres of petrol.

(iii) Finally, to find the distance covered in 6.18 litres of petrol, we set up the proportion:

1 litre/53.3 km = 6.18 litres/x km.

Cross multiplying, we get 1x = 6.18 * 53.3,

which simplifies to x = 329.094 km (rounded to three decimal places).

Therefore, it will cover approximately 329.094 km in 6.18 litres of petrol.

The two-wheeler will cover the following distances in the given amounts of petrol:
(i) 4 litres of petrol: 213.2 km
(ii) 10 litres of petrol: 533 km
(iii) 6.18 litres of petrol: approximately 329.094 km.

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the angle between the two force vectors is approximately 18.19°. Hence, the correct answer is option a) 18.19°.

The angle between two vectors can be determined using the formula for the dot product. In this case, if the dot product of the force vectors is 19, we can calculate the angle between them. Let's denote the magnitude of the first force vector as F1 = 4N, and the magnitude of the second force vector as F2 = 5N.

The dot product of two vectors A and B is given by the equation A · B = |A| |B| cos(θ), where θ is the angle between the vectors.

Given that the dot product is 19 and the magnitudes of the force vectors are F1 = 4N and F2 = 5N, we can solve for the angle θ:

19 = 4 * 5 * cos(θ)

19 = 20 * cos(θ)

cos(θ) = 19/20

To find the angle θ, we take the inverse cosine (arccos) of 19/20:

θ = arccos(19/20) ≈ 18.19°

Therefore, the angle between the two force vectors is approximately 18.19°. Hence, the correct answer is option a) 18.19°.

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Answer:

-13/20

Step-by-step explanation:

-0.65 can be written as -65/100. To simplify, divide both numerator and denominator with 5. 65/5=13.  100/5=20

And you get -13/20 for your answer.

Answer:

\(d=4\)

Step-by-step explanation:

\(41=12d-7\)

In this scenario we need to isolate the variable.

Start by adding 7 to both sides:

\(41+7=12d-7+7\)

\(48=12d\)

Divide both sides by 12:

\(\frac{48}{12}=\frac{12d}{12}\)

\(d=4\)

Substitute 4 for d to check our answer:

\(41=12d-7\\41=12(4)-7\\41=48-7\\41=41\rightarrow\text{correct!}\)

Therefore the answer is:

\(d=4\)

X= 1

First you subtract 6 from both sides to get

2x=2

Then you divide by 2 to get 1

x=1

Answer:

hi

Step-by-step explanation:

sup

Answer:

1/2

Step-by-step explanation:

0.5 is half of 1 so 1/2 is 0.5 as a fraction

Answer:

x = - 2

Step-by-step explanation:

2x + 6 = 2

2x = 2 - 6

2x = -4

x = -4/2

x = - 2

Hope it helps ⚜

Answer:

substitution

reflexive

Step-by-step explanation:

Answer:

I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)    

we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom

this was mine so nooooo plagiarism or anything.

please mark brainliest......

Answer:

World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.

Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.

Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.

The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.

The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.

Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.

Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.

In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.

With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany  desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.

Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.

The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.

World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.

Step-by-step explanation:

Sorry I'm late

803 words

Answer:

50

Step-by-step explanation:

5 pages * 10 copies = 50 pages

There is exactly one more real solution or there is exactly one more complex solution

Given,

One solution to a quadratic equation is x = -5/3

We have to find the correct statements from the given ones;

A polynomial of degree two is a quadratic equation.

This implies that a polynomial has two solutions.

We already have an answer to the query, which is a true root.

Then, the additional response that we lack can appear in the form of two responses.

It may be a real root or a complicated root, depending on the situation.

The following is the response to this query:

There is exactly one more real solution or there is exactly one more complex solution

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The angles which are congruent are ∠1 and ∠5,∠6 and ∠4, and ∠8 and ∠2 thus options (A),(C), and (D) are correct.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

As per the given parallel lines m and n and a transversal s shown below,

∠1 = ∠7 (alternative exterior angle)

Since ∠7 = ∠5 (opposite angles)

Therefore, ∠1 = ∠7.

∠6 = ∠4 (alternative interior angle)

∠8 = ∠2 (alternative exterior angle)

Hence "The angles which are congruent are ∠1 and ∠5,∠6 and ∠4, and ∠8 and ∠2".

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Answer:

A , B , and E (see the screenshot)

Step-by-step explanation:

The rate percent per annum is approximately 0.2778% when $18,000 is invested for 2.5 years and $2,500 simple interest is paid.

To find the rate percent per annum (interest rate) when a certain amount of simple interest is paid for a given principal and time period, we can use the formula:

Simple Interest = (Principal * Rate * Time) / 100

Given that $2,500 is the simple interest paid when $18,000 is invested for 2.5 years, we can set up the equation as follows:

2,500 = (18,000 * Rate * 2.5) / 100

To find the rate, we can rearrange the equation and solve for Rate:

Rate = (2,500 * 100) / (18,000 * 2.5)

Rate ≈ 0.2778

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For the function f(x) , the statement based on limit has following answer,

a. For all f(x) , if  lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist is false statement.

b.  For all f(x) , if  lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist is false statement.

For the function f(x),

If the limit of the function f(x) does not exist then,

(a) lim x→a⁺ f(x) does not exist is a false statement.

If lim x→a⁺ f(x) or lim x→a⁻ f(x) exists.

it is still possible for lim x→a f(x) to not exist.

For example, consider the function f(x) = 1/x and a = 0.

The limit of f(x) as x approaches 0 from the right (i.e., lim x→0⁺ f(x)) does not exist.

But the limit of f(x) as x approaches 0 from the left (i.e., lim x→0⁻ f(x)) does exist.

(b) lim x→a⁻ f(x) does not exist is a false statement.  

Considering same function f(x) = 1/x and a = 0 .

The limit of f(x) as x approaches 0 from the left (i.e., lim x→0⁻ f(x)) does not exist.

But the limit of f(x) as x approaches 0 from the right (i.e., lim x→0⁺ f(x)) does exist.

Therefore, function f(x) represents the following statement as,

a. If  lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist is false statement.

b.  If  lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist is false statement.

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The above question is incomplete , the complete question is:

Determine whether each statement is true or false. you have one submission for each statement.

(a) for every function f(x), if lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist.

(b) for every function f(x), if lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist.