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The coefficient of x² in 2 x² x³ is 2 n with number.

2 x² x³

= 2 x² (x³)

= 2 x² (x  x  x)

= 2 x² x  x  x

The coefficient of x² is 2.The expression 2 x² x³ can be written as 2 x² (x³). This can be further simplified to 2 x² (x  x  x). The coefficient of x² is 2, which means that the coefficient of x² in 2 x² x³ is 2. The coefficient of a term is the numerical factor of the term, or the number that is multiplied with the term. In this case, the coefficient of x² is 2, as it is the number multiplied with x².

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Answer:

Step-by-step explanation: first we have to solve the bracket both side of equal to.

1/6(3x-6)=1/8(4x+)

x/2-1 = x/2+1

-2

Answer:

60 degrees

Step-by-step explanation:

The total measure of a circle is 360 degrees.

360-140-100 = 120

Angles MON and NOP are equivalent which makes MN and NP equivalent.

120/2 = 60 degrees = MN

Answer:

C. x=68 and y=112

Step-by-step explanation:

We can find that x=68 by adding 52 and 60 together which would get us 112. Then subtracting 112 from from 180 leaving us with our sum of 68, which means x=68. Then we find the value of y by adding the two interior angles on the opposite sides of the triangle. So 52+60=112. This makes y=112.

-Hope this helped

Answer:

x = 68

y = 112

Step-by-step explanation:

The interior angles of a triangle add to 180º.

Using this knowledge, we can solve for x:

52º + 60º + xº = 180º

↓ subtract 52º and 60º from both sides

xº = 180º - 52º - 60º

xº = 68º

x = 68

The interior and corresponding exterior angles of a triangle are supplementary (they add to 180º).

Using this knowledge, we can solve for y:

xº + yº = 180º

↓ substitute for solved x-value

68º + yº = 180º

↓ subtract 68º from both sides

yº = 112º

y = 112

Answer:

114 roses are not red

Step-by-step explanation:

First, move the decimal two times to the LEFT to multiply the percentage to the number of roses. (50.%)

228x.50

And then multiply 228x.50= 114

Step-by-step explanation:

[tex] \sf \hookrightarrow \: {n}^{2} = 20 \\ \sf \hookrightarrow \: \sqrt{ {n}^{2} } = \sqrt{20} \\ \sf \hookrightarrow \: n = \sqrt{20} \\ \star \bf \: n = 2 \sqrt{5} \\ \\ \sf \hookrightarrow \: {a}^{2} = 90 \\ \sf \hookrightarrow \: \sqrt{ {a}^{2} } = \sqrt{90} \\ \sf \hookrightarrow \: a = \sqrt{90} \\ \star \bf \: a = 3 \sqrt{10} [/tex]

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

The store's expected profit from a random shipment of 500 pounds of oranges is approximately $400.88.

Here, we have,

To calculate the store's expected profit from a random shipment of 500 pounds of oranges, we need to consider the probabilities and prices associated with each quality category of oranges.

Let's break down the calculations step by step:

High Quality Oranges:

Probability: 40% of the time

Purchase price: $0.52 per pound

Selling price: $1.99 per pound

Expected profit per pound: $1.99 - $0.52 = $1.47

The expected profit from high-quality oranges per pound is $1.47.

To calculate the expected profit from high-quality oranges in the entire shipment, we multiply the expected profit per pound by the total weight of high-quality oranges:

Expected profit from high-quality oranges = 0.4 * $1.47 * (0.8 * 500) = $235.20

Low Quality Oranges:

Probability: 55% of the time

Purchase price: $0.52 per pound

Selling price: $1.49 per pound

Expected profit per pound: $1.49 - $0.52 = $0.97

The expected profit from low-quality oranges per pound is $0.97.

To calculate the expected profit from low-quality oranges in the entire shipment, we multiply the expected profit per pound by the total weight of low-quality oranges:

Expected profit from low-quality oranges = 0.55 * $0.97 * (0.65 * 500) = $165.68

Rotten Fruit:

Probability: 5% of the time

The store cannot sell any rotten fruit, so the expected profit from rotten fruit is $0.

Now, let's calculate the total expected profit from the entire shipment of oranges:

Total expected profit = Expected profit from high-quality oranges + Expected profit from low-quality oranges + Expected profit from rotten fruit

= $235.20 + $165.68 + $0

= $400.88

Therefore, the store's expected profit from a random shipment of 500 pounds of oranges is approximately $400.88.

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Answer:

The volume of the prism is 60 m³.

Step-by-step explanation:

Given that,

The length of the prism is 4 m

The width of the prism is 5 m

The height of the prism is 3 m

The volume of prism is given by the formula as follows :

V = lbh

Put all the values,

V = 4 m × 3 m × 5 m

= 60 m³

Hence, the volume of the prism is 60 m³.

Answer:

1.4

2.5

3.3

4.60

5.60

Step-by-step explanation:

By drawing a number line and then marking it as 0 and 1, and by dividing the distance in 3 equal parts we can graph 1/3 on the number line, where each part will be equal to the 1/3.

A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present.

For drawing 1/3 on a number line, we will follow the following steps:

We will first draw a line and mark 0 and 1 on it.

In between 0 and 1, we will divide the total distance into 3 equal parts, where one part will represent (1/3)th portion.

Hence. by marking there we can locate 1/3 on the number line.

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The correct question may be like:

How do you plot 1/3 on a graph.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The boundary lines of both inequalities are dashed lines, because neither includes the "or equal to" case. Shading is above the boundary line in both cases.

The boundary line of the first inequality has a y-intercept of +3 and a slope of 1, so goes up 1 unit for each 1 unit to the right of (0, 3).

The boundary line of the second inequality has a y-intercept of +1 and a slope of -2, so goes down 2 units for each 1 unit to the right of (0, 1).

The solution space is the top quadrant of the X where the boundary lines cross. That is where the two solution spaces overlap. It includes parts of quadrants I and II.

Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.

Step-by-step explanation:

To find the midpoint of two points in a coordinate plane, you can use the midpoint formula.

The midpoint formula is the average of the x-coordinates and the average of the y-coordinates of the two given points.

The midpoint formula is:

((x1 + x2)/2 , (y1 + y2)/2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

For example, if the two points are (3, 4) and (5, 8), the midpoint would be:

((3 + 5)/2 , (4 + 8)/2) = (4, 6)

So the midpoint between (3, 4) and (5, 8) is (4, 6).

It's important to note that this formula is valid for any dimension, not just 2D, and it can be used to find the midpoint of any two points in space, whether it's in 2D, 3D, 4D and so on.

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The statement [tex]P\land Q[/tex] in Tautology is represented as P and Q , and the symbol "[tex]\land[/tex]" is called as AND operator .

What is Tautology ?

Tautology can be defined as a compound statement which always results in Truth value. It does not matter what individual part consists of, the result in tautology is always true.

AND Operator : The AND is represented by the symbol "[tex]\land[/tex]". When the 2 simple statements are used in forming the compound statement by using AND operator , then it is called as a conjunction of two statements .

The AND operator returns TRUE value only when both the statements P and Q are TRUE , if any one of the statement is FALSE , then it returns FALSE value .

The given question is incomplete , the complete question is

What is represented by [tex]P\land Q[/tex] in Tautology ?

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Answer:

1. There is exactly one plane that contains points E,F, and B (2nd option)

2. The line that can be drawn through points C and G

would lie in plane x. (3rd option)

3. The line that can be drawn through points E and F

would lie in plane y. (4th option)

Step-by-step explanation:

The line that can be drawn through points C and G would lie in X-plane and the point E and F would lie in Y-plane. Then the correct options are C, D, and E.

A plane is a straight surface, with multiple surfaces that never end in maths.

The points C, D, and G lie in X-plane.

And the points E and F lie in Y-plane.

From the diagram, the conclusion points are given below.

Then the correct options are C, D, and E.

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Answer:

3.2

Step-by-step explanation:

Answer: 3.3

Step-by-step explanation: To find x(adjacent)we need to know the length of the opposite ,and to do so we use the dimensions of the larger triangle,let's say A.

So using SOHCAHTOA

Sin=opposite÷hypotenus . Meaning

Opposite =hypotenus×sin

=9×sin31°

=4.635... which is rounded to 4.64.

Finding x

From tan=opposite÷adjacent

adjacent=opposite÷tan

=4.64÷tan55°

=3.2489.... which is rounded to 3.3

The three main parts to a chemical word equations are the reactants , the products  and the arrow .

What is a Chemical Equation ?

A chemical equation is defined as a representation of a chemical reaction expressing it in in terms of symbols of the substances.

The three main parts of the Chemical Equation are :

(i) The Reactants :  During a chemical reaction, these elements combine and undergo some chemical changes. They are present on left side of  reaction equation.

For Example : [tex]CH_{4} + 2O_{2}[/tex] ;

(ii) The Arrow :  It indicates formation of products from reactant . It is represented as " → " ;

(iii) The Products : Products are the result of chemical reactions between their reactants. It is present on right side of the chemical equation.

For example, : [tex]CO_{2} +2H_{2} O[/tex]

So , overall Chemical  Equation can be written as : [tex]CH_{4} + 2O_{2}[/tex] → [tex]CO_{2} +2H_{2} O[/tex] .

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Answer:

Here we have the position of an object represented by the equation:

y = 4*sin(3*x) + 4

Where we can assume that y represents the height of the object.

We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5

First let's find the maximum height.

y = 4*sin(3*x) + 4

Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:

sin(x) = 1

when x = 90° = pi/2 = 3.14/2

Replacing that in the equation, we get:

y = 4*1 + 4 = 8

The maximum height of the object is 8.

Now, we know that the maximum of the sin(x) function is when x = pi/2

But in our case, we have the function sin(3*x)

Then this function is maximized when:

3*x = pi/2

x = pi/(2*3) = pi/6 = 3.14/6

And:

0 < 3.14/6 < 5

Then the first maximum occurs at x = 3.14/6 = 0.52

But it can happen again on the interval.

The next maximum of the sin(x) function is when:

x = pi/2 + 2*pi

In our case, we again have sin(3*x), then we need to solve:

3*x = pi/2 + 2*pi

x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62

This is also in the interval 0 < x < 5

The next maximum of sin(x) happens at:

x = pi/2 + 2*pi + 2*pi

In our case, for sin(3*x) we need to have:

3*x = (pi/2 + 2*pi + 2*pi)

x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71

This again is in the interval 0 < x < 5

(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)

Then the maximum height occurs at:

x = 0.52

Then occurs again at:

x = 2.62

And finally occurs again at:

x = 4.71

Answer:

Length = 12 cm

Step-by-step explanation:

using the Pythagorean theorem:

Length² = 13² - 5² = 169 - 25 = 144

Length = √144 m= 12 cm

Answer:

It's 34 cm

Step-by-step explanation:

Width of a rectangle = 5 cm

Diagonal of a rectangle = 13 cm

By Pythagoras Theorem,

Length of a rectangle = √(13² - 5²)

Or, Length of a rectangle = √(169 - 25)

Or, Length of a rectangle = √144

Or, Length of a rectangle = 12 cm

Perimeter of a rectangle = 2(12+5)

Or, Perimeter of a rectangle = 2×17

Or, Perimeter of a rectangle = 34 cm

Therefore, the perimeter of a rectangle = 34 cm

Answer:

I know what assignment you have! I'll help.

look in the pic i sent.

Answer:

m<BCD=60

Step-by-step explanation:

4x+6=7x-12

3x=18

x=6

4(6)+6

24+6

30

30+30=60

======================================================

Reason:

Use the HL (hypotenuse leg) theorem to prove that triangle BCF is congruent to triangle DCF.

It then leads to the fact that angle BCF is congruent to angle DCF.

Set those angle expressions equal to one another. Solve for x.

angle BCF = angle DCF

4x+6 = 7x-12

4x-7x = -12-6

-3x = -18

x = -18/(-3)

x = 6

Then,

Both angles are the same measure to confirm the correct x value.

Lastly, add up those angles to get angle BCD.

30+30 = 60 degrees is the final answer.

Answer:

in standard form, it would be

x^2+5x+7=0

hope this helps!!

f(n) = 56 + 3(n − 1) is the correct option represents the formula for the sequence.

In arithmetic sequences, each term is made larger by the addition or removal of a constant called k. Unlike a geometric sequence, where each term increases by being multiplied by or divided by a fixed constant k,

If there is a consistent difference between the words in a sequence of numbers, the sequence is referred to as an arithmetic progression. Think about the mathematical progression where the numbers 5, 7, 9, 11, 13, and so on all have a common difference of 2.

An is defined as a1 + d(n - 1), where d is the average difference between terms in the series, and a1 is the first term.

Given data :

This is the formula of an arithmetic sequence.

f(n) =   a1 + d(n - 1)

An arithmetic sequence begins with 56, 59, 62, 65, 68,

=   = 56.

d = 59 - 56 = 3

so the formula is f(n) = 56 + 3(n − 1)

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Answer: 4 cm

EF is 20 cm and BC is 5. Take 20 divided by 5 and you get 4. This is the amount of how much the shape enlarged. For AC, take 16 divided by 4 and you get 4.

Hope it helps.

Answer and Step-by-step explanation:

We can use two methods to find the length of AC.

First method is the Pythagorean Theorem method.

The Pythagorean Theorem Formula is:

[tex]a^2 + b^2 = c^2[/tex]

Where:

a and b = are sides of a triangle

c = the hypotenuse

Plug in the values:

[tex]3^2 + (AC)^2 = 5^2\\\\\\\\9 + (AC)^2 = 25\\\\\\\(AC)^2 = 16\\\\\\AC = 4[/tex]

That means the length of side AC is equal to 4.

Background knowledge also tells us that this is a 3 4 5 triangle, because we have a 5 as the hypotenuse and a 3 for one of the sides.

Second method involving Similarity

We are told that the triangles are similar, which means that one of the triangle id a dilated version of the other, and vise versa.

We can find out the scale factor for these triangles by dividing the corresponding side lengths (which we will be using the hypotenuses).

20 divided by 5 = 4

If we divide the corresponding side of AC by 4, it will result in our answer.

16 divided by 4 = 4.

So, AC = 4

#teamtrees #PAW (Plant And Water)

It will take 13 weeks to gather funds that sum up to $4500.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given: I have $2485 and I save $155 weekly

Thus amount left to be gathered is $4500-$2485=2015

If I save $155 weekly then we get = $2015/$155

                                                        =13 weeks

Hence, It will take 13 weeks to gather funds that sum up to $4500.

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Answer:

Sophia could chug 26 beverages in 2 seconds

Step-by-step explanation:

If Sophia can chug 13 beverages in 1 second.

then, For 2 seconds

13 × 2 = 26

Thus, Sophia could chug 26 beverages in 2 seconds

-TheUnknownScientist

The solution of the system of equations is:

x = 5t - 4

y = -5t + 1

z = t

Option B is the correct answer.

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

From the row-echelon form of the augmented matrix of a system of equations, we get,

x + 0y -5z = -4

x - 5z = -4

x = 5z - 4

0x + y + 5z = 1

y + 5z = 1

y = -5z + 1

0x + 0y + 0z = 0

Now,

Put z = t (any real number)

We get,

x = 5t - 4

y = -5t + 1

Thus,

The solutions are:

x = 5t - 4

y = -5t + 1

z = t

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Your answer should be:She can make 92 key chains with the yarns she has.

Step-by-step explanation

1. Let's add and see the total of yarns she has!

36 + 216 + 24 = 276

2. Let's divide the total we got in 1 by the yard she needs to make one key chain!

276 ÷ 3 = 92

3. Your answer should be 92.

Answer: 0.62

Step-by-step explanation: The probability of an event is a number between 0 and 1. It was given that the probability of getting a tail is 0.38; so, in order to find the probability of getting a head, you have to subtract 0.38 from 1 since flipping a head is the only other option than flipping a tail. Since 1 - 0.38 = 0.62, this is your answer.

Answer:

it doesn't have any solutions bc the lines are parallel and don't share any points in common. hope this helps!