A _________ is a graphical representation of association between variables.

A trinomial is a polynomial with three terms that has a leading coefficient of 3 and a constant term of -5 is

3m²+m-5

Here the degree of the trinomial is 2, so the leading coefficient is the coefficient of the term with m², which is 3.

The constant term is the term without a variable, which is -5

To find the coefficient of middle term of the trinomial, formula is:

coefficient of middle term =

(sum of the coefficients of the first and last terms)

                                    2

The sum of the coefficients of the first and last terms is 3 - 5 = -2.

Dividing by 2, we get -1 as the coefficient of the middle term.

Putting all of this together, we can write the trinomial as:                     3m² +m - 5

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The answer to 7 to the power of 2 is 49.

This is because when a number is raised to a power, it means that it is multiplied by itself that number of times. 7 to the power of 2 is 7 multiplied by itself 2 times, which is 7 x 7, which equals 49.

An expression known as "power" denotes the process of repeatedly multiplying a value or integer. An is often a power where n is the exponent and an is the base.

As an illustration, the power 63 demonstrates how three times the number 6 is multiplied.

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The most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid.

When CO2 is bubbled through an aqueous solution, it can react with water to form carbonic acid (H2CO3). This reaction occurs due to the dissolution of CO2 in water, which undergoes a chemical equilibrium process. Carbonic acid is a weak acid that can release hydrogen ions (H+) into the solution, thus lowering the pH. The presence of carbonic acid lowers the pH value compared to the original pH of the solvent.

This phenomenon is commonly observed when CO2 is dissolved in water, such as in carbonated beverages. The carbonic acid formed from the reaction with CO2 contributes to the acidic properties of the solution. Therefore, the most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid, leading to a decrease in pH.

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Answer:

Step-by-step explanation:

X = 64.

x^(1/2) = 8

\(\sqrt{x} = 8^{2}\)

Therefore, x = 64

Answer:

D. 64

Step-by-step explanation:

x^1/2 = 8

√x = 8

√64 = 8

x = 64

Answer:

3.64  = x

Step-by-step explanation:

Using tignometry!

As it is an right angle triangle we can use 'tan' function.

therefore:

tan(20) = x/10

tan(20) * 10 = x

3.639702343 = x

3.64  = x

Easy!

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Thanks!

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of x in the given triangle is 3.6 cm.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

The tan function for the angle which measures 20° can be written as,

\(\rm Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\tan(20^o)=\dfrac{x}{10}\\\\x = 3.639\approx 3.6\ cm\)

Thus, the value of x in the given triangle is 3.6 cm.

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Comparing the consistency between two data sets when their means are very different is best done with the Coefficient of Variation (CV).

The formula for calculating the coefficient of variation (CV) is :CV = (Standard Deviation / Mean) * 100For a given set of data, the coefficient of variation indicates the relative size of the standard deviation to the mean, as a percentage. The CV indicates the degree of variation of a dataset relative to its mean.In comparison, a larger CV implies more significant variation in the data.

On the other hand, a lower CV indicates less variability in the data. Hence, if the two data sets have substantially different means, the CV should be used to compare their variation. Therefore, the Coefficient of Variation is the best tool for comparing the consistency between two data sets when their means are very different.A word of caution: The CV is only helpful when dealing with ratios or proportions, not when dealing with individual measurements. When dealing with individual measurements, the standard deviation or variance is typically used.

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Answer:

13,21,34,55,89,144,233,377

Step-by-step explanation:

i did it in my mind and im correct

prob

Answer:

OK don't worry we will help you get 15 points

Answer:

C.  37.5

Step-by-step explanation:

From inspection of the given triangle, we can see that the straight line that divides the triangle into two smaller triangles is an angle bisector since it divides the angle into two congruent angles.

Angle Bisector Theorem

An angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

\(\implies x:15=40:16\)

Solve for x:

\(\implies \dfrac{x}{15}=\dfrac{40}{16}\)

\(\implies \dfrac{x}{15}=2.5\)

\(\implies x=2.5\times 15\)

\(\implies x=37.5\)

x = 114.

Hope this helps!!

Answer:

???

Step-by-step explanation:

Not entirely sure what you're trying to ask here. Their scores are 135, 100, and 80. An IQ test or an Intelligence Quotient test is used to determine a human's intelligence. So it would be assumed that Fatma is smarter than Ayesha, who is smarter than Warda. We can assume this because it is a standardized IQ test, so the test is fair in the way that everyone has the same questions. Though the best IQ test contains a a lot of questions since it questions all of your abilities. For example, not only logic and math but stuff like chemistry and being able to play an instrument.

The solution to the equation cos(x + 2π/3) = √2/2 over the interval

(0, 2π) is [7π/12, 3π/4]

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

The given function is cos(x + 2π/3) = √2/2 over the interval (0, 2π).

(x + 2π/3) = cos⁻1(√2/2).

x + 2π/3 = π/4  or 21π/12   (As cos is +ve on I and IV)

Now,

x + 2π/3 = π/4.

x = π/4 - 2π/3.

x = (3π - 8π)/12.

x = - 5π/12.

x = π - 5π/12.

x = (12π - 5π)/12.

x = 7π/12.

And,

x + 2π/3 = 21π/12.

x = 21π/12 - 2π/2.

x = (21π - 12π)/12.

x = 9π/12.

x = 3π/4.

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Answer:

I think 1 hour and 6 mins.

Step-by-step explanation:

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

If the temperature fell to 193 F in 0.6 hours (s), what will it be after 4 hours (s)We have to find the temperature after 4 hours.We have given the differential equation as, dT/dt = k(T-73).

We are given that,

T = 305°F when

t = 0 and

T = 193°F when

t = 0.6 hr

Putting the values in the above equation, we have:

dT/dt = k(T-73)dT/dt

= kT - 73kdT/(kT - 73)

= dtln|kT - 73|

= t + C ... (1)

Now, let's put the values of

T = 305°F when

t = 0 and

T = 193°F when

t = 0.6 hr in equation (1).

ln|k(305) - 73|

= 0 + Cln|232k|

= C... (2)ln|k(193) - 73|

= 0.6 + Cln|120k|

= C...

Hence, after 4 hours the temperature of the object will be approximately 673.97°F:Given: Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 305° F and left to cool in a room at 73°F, its temperature T' after 1 hour will satisfy the differential equation dT/dt = k(T-73)

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Answer:

area is 200 perimeter is 66

Step-by-step explanation:

Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.

To convert 4 1/2 million yen into US dollars, we need to know the current exchange rate. As of July 29, 2021, 1 US dollar is equivalent to 109.78 Japanese yen. Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.
Explanation:
To convert yen into US dollars, we need to know the current exchange rate. As of July 29, 2021, 1 US dollar is equivalent to 109.78 Japanese yen. Therefore, we can convert 4 1/2 million yen into US dollars by dividing 4,500,000 by 109.78, which gives us $40,988.24. $40,988.24 in US dollars.

Therefore, 4 1/2 million yen is equal to $40,988.24 in US dollars.

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Answer: the last one in the middle

ok done. Thank to me :>

Answer:

y = 2(x+3)(x-3)

Step-by-step explanation:

y = a (x-x1) * (x-x2) * (x-x3) * ... (x-xn)

x 1 to n represents the roots

Answer:

26771.8115

Step-by-step explanation:

24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115

Answer:

x = - 1 , x = 19

Step-by-step explanation:

x² - 18x = 19

to complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 9)x + 81 = 19 + 81

(x - 9)² = 100 ( take square root of both sides )

x - 9 = ± \(\sqrt{100}\) = ± 10 ( add 9 to both sides )

x = 9 ± 10

then

x = 9 - 10 = - 1

x = 9 + 10 = 19

The expected length of the first run in a sequence of binary data can be determined using probability calculations.

Let p be the probability of obtaining a 1 and (1 - p) be the probability of obtaining a 0. The probability of the first run ending at any given position is (1 - p), as it would require a transition from 1 to 0. The probability of the first run not ending at each position is p, as it would require a continuation of consecutive 1s.

Let q be the probability of obtaining a 0 after the first run of consecutive 1s. The probability of the second run ending at any given position is q, as it would require a transition from 0 to 1. The probability of the second run not ending at each position is (1 - q), as it would require a continuation of consecutive 0s.

Considering that the second run must start with a 0, the expected length of the second run can be calculated as 1/(1 - q).

The specific values of p and q would need to be provided to calculate the exact expected lengths of the first and second runs.

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It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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Grab your notebook or phone and slide it across the desk you're working on. Now turn it so it's facing sideways. Now flip it over on one of its edges so you're looking at the back side of it. All of these motions are rigid motions.

Any way of moving all the points in the plane such that

a) the relative distance between points stays the same and

b) the relative position of the points stays the same.

There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

In a translation, everything is moved by the same amount and in the same direction. Every translation has a direction and a distance. See Image-1.

A rotation fixes one point (the roto center) and everything rotates by the same amount around that point. Every rotation has a roto center and an angle. See Image-2.

A reflection fixes a mirror line in the plane and exchanges points from one side of the line with points on the other side of the mirror at the same distance from the mirror. Every reflection has a mirror line. See Image-3.

A glide reflection is a mirror reflection followed by a translation parallel to the mirror. Every glide reflection has a mirror line and translation distance. See Image-4.

Therefore,

Simply put, rigid motions are transformations that preserve the side lengths and angles in a shape. You can see any of these transformations by moving an object you may have around you right now. Grab your notebook or phone and slide it across the desk you're working on. Now turn it so it's facing sideways. Now flip it over on one of its edges so you're looking at the back side of it. All of these motions are rigid motions.

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Answer:

234

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

here [ a, b ] = [3, 6 ] , then

f(b) = f(6) = \(3^{6}\) + 17 = 729 + 17 = 746

f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then

average rate of change = \(\frac{746-44}{6-3}\) = \(\frac{702}{3}\) = 234