what type of function is represented in the table

The equation and solution to find the length of mis teak wood piece is x=3*8 and 24.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The length of oak wood=8inches

Teak wood= 3* oak wood

Now,

Let the length of teak wood be x

Then,

x=3*8

x=24

Therefore, by algebra the answer will be 24.

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The supplied statement states that the candle would reach a height of 14.85 cm after 24 hours.

The terms "altitude" and "elevation" refer to the vertical distance between something's top and bottom or its base and it's something above it. Height is used to describe everything that may be measured vertically, high or low.

Let Y = height.

let X equal time

Y = mX + b, where the slope of m & b is the y-intercept, denotes the linear relationship between height and time.

We can determine the slope using the information provided (13, 15.4) and (29, 6.5)

Slope = (y2 - y1) / (x2 - x1) = (6.5 - 15.4) / (29 - 13) = -8.9 / 16 = -0.55

This indicates that the candle is losing height at a rate of 0.55 cm each hour.

As the first grid cell of 24 hours comes 13 hours afterwards, (13, 15.4), the height will go down by 13 * (-0.55) = -7.15 cm in the 13 hours between hour 13 and hour 24.

Hence, the candle's height 24 hours later = 15.4 - 0.55 = 14.85 centimeters

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Answer:

Step-by-step explanation:

Finally, we got the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 28 are written as 2 × 2 × 7 or 22 x 7, where 2 and 7 are the prime numbers.

Step-by-step explanation:

the answer is 2(l+b) and it is verified

The amount of money the organization will raise in total is $25655.17.

A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. Thus, a part per hundred is what the percentage refers to. Percent signifies for every 100.

Let us suppose the total amount raised = T.

Given that, $14,300 is 58% of the total amount we have:

T (58%) = 14300

T (58/100) = 14300

T = 14300(100)/58

T = 25655.17

Hence, the amount of money the organization will raise in total is $25655.17.

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Answer:

unfortunately tdudeyiutddj try Zurich etu

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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The volume of the triangular pyramid shown  is (c) 104 cubic units

From the question, we have the following parameters that can be used in our computation:

X = 6 units, Y = 4 units, and Z = 13 units

The volume is calculated as

Volume = xyz/3

Substitute the known values in the above equation, so, we have the following representation

Volume = 6 * 4 * 13/3

Evaluate

Volume = 104

Hence, the volume is (c) 104 cubic units

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Answer:

1.15%

Step-by-step explanation:

Answer:

The first thing you want to d is find out how many centimeters are in 1 foot, because if a flat bar cost 2 pesos per centimeter, and they want 1 foot, then you will multiply how many centimeters in 1 foot, by how much each centimeter cost: 2 pesos:

There are exactly 30.48 centimeters in 1 foot, so you will multiply that by 2:

2 * 30.48 = 60.96

It will cost 60.96, or rounded up to 61 pesos for a 1 foot flat bar.

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

[tex]\mathrm{10+2x-3x=-\left(x+2\right)}[/tex]

*2x-3x=-x*

[tex]\mathrm{10-x=-\left(x+2\right)}[/tex]

Expand:-

[tex]\mathrm{10-x=-x-2}[/tex]

Cancel the x from both sides:-

[tex]\mathrm{10=-2}[/tex]

and since 10=-2 is false, there is no solution.

__________________

Hope this helps!

Applying the secant-tangent theorem, the value of x is calculated as: x = 5.

The secant-tangent theorem states that if there is a point outside of a circle and we draw a tangent line and a secant line from that point to the circle, then the length of the tangent line squared is equal to the length of the secant line multiplied by the length of the part of the secant line that is outside the circle.

Therefore, applying the secant-tangent theorem:

4 * (x + 4) = 6²

4x + 16 = 36

4x = 36 - 16

4x = 20

4x/4 = 20/4

x = 5

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Therefore , the solution of the given problem of graph comes out to be

option c is correct it shows an association of the distribution of different mode of transportation among the same age of group.

Academics use graphs to visually represent or chart happenings or quantities in a logical manner. The interaction between a number of objects is frequently represented by a graph point. A graph is a non-linear storage structure made up of nodes, also known as vertices, and edges. The vertices, sometimes referred to as nodes, should be joined together with glue. Vertex numbers in this graph are 1, 2, 3, or 5, while edge numbers are 1, 2, 1, 3, 2, 4, etc. (2.5). (3.5). (4.5). (4.5). (4.5).

Here,

Given : A graph having choices of adult , child , teen  and senior mode of transportation ,

In different age the mode of transportation preferred by among the same ages .

Thus ,

it shows an association of the distribution of different mode of transportation among the same age of group.

So , option c is the correct answer.

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Answer:

17.24

Step-by-step explanation:

find the difference between 29 and 34. Then divide by 29 and multiply by 100. 34-29=5/29=0.1724 multiply by 100 =17.24%

The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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Answer:

3 students

Step-by-step explanation:

Now for RSM Olympiad are 8 math kangaroo are 7 studs that did both are 4

Total number of studs that participated are

(8-4) + 4 + (7-4)

4+4+3=11

those who didn't participate are

11-14-13

Answer:

Add 1 to both sides. Add 11 and 1 to get 12. Divide both sides by 4. Divide 12 by 4 to get 3.

Finally, we can use the earlier equations to find the number of bass and bluegills in pond B:

2x + 6y = 300

2(15) + 6(45) = 300

30 + 270 = 300

Therefore, pond B has 30 bass and 270 bluegills.

In algebra, a statement of mathematics that proves the equality of two mathematical expressions is known as an equation. Consider the equation 3x + 5 = 14, where the word "equal" is used to denote the relationship between the terms 3x + 5 and 14.

Let's denote the number of bass in pond A as "x" and the number of bluegills in pond A as "y".

According to the problem, Gage stocks pond B with twice the amount of bass as pond A, so the number of bass in pond B is 2x. He also stocks pond B with six times the amount of bluegills as pond A, so the number of bluegills in pond B is 6y.

We know that Gage stocks pond A with a total of 60 fish, so:

x + y = 60

We also know that Gage stocks pond B with a total of 300 fish, so:

2x + 6y = 300

x + 3y = 150

Now we have two equations:

x + y = 60

x + 3y = 150

We can solve for x in the first equation:

x = 60 - y

Substitute this expression for x into the second equation:

(60 - y) + 3y = 150

2y = 90

y = 45

Now that we know that pond A has 45 bluegills, we can use the equation x + y = 60 to find that pond A has 15 bass (since 45 + 15 = 60).

2x + 6y = 300

2(15) + 6(45) = 300

30 + 270 = 300

Therefore, pond B has 30 bass and 270 bluegills.

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Answer:

B 16

Step-by-step explanation:

It will take 8 days to eat one carton so 2 cartons will be 16 days.

Answer:

x ∈ R or (-∞,∞)

Step-by-step explanation:

The equation |x - 5| > -2 results in true for all x-values. No matter which x-values you substitute in the absolute value; positive, negative real numbers or zero, you'll always end up with the positive value which is greater than negative

Therefore, |x - 5| > -2 is true for all real x-values.

The values are Q1 ≈ 11.7375 months, Q3 ≈ 12.2625 months, and range  IQR ≈ 0.5250 months.

The IQR for the average first-time walking age for groups of 33 people can be found as follows:

The standard deviation of the sample mean is given by:

σM = σ/√n = 2.2/√33 ≈ 0.3839

Using the standard normal distribution, the z-scores for the first and third quartiles are:

zQ1 = invNorm(0.25) ≈ -0.6745

zQ3 = invNorm(0.75) ≈ 0.6745

The corresponding sample means can be found using:

M = μ ± z(σM)

Where μ = 12, the population mean.

M1 = 12 - 0.6745(0.3839) ≈ 11.7375

M3 = 12 + 0.6745(0.3839) ≈ 12.2625

Therefore, the first quartile Q1 is approximately equal to 11.7375 months and the third quartile Q3 is approximately equal to 12.2625 months.

The IQR is given by:

IQR = Q3 - Q1 = 12.2625 - 11.7375 ≈ 0.5250 months.

Rounding to 4 decimal places gives Q1 ≈ 11.7375 months, Q3 ≈ 12.2625 months, and IQR ≈ 0.5250 months.

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By proportion formula and Pythagorean theorem, the length of line segment AB is equal to 8 units.

Herein we find a geometric system formed by two similar right triangles, then we can determine the length of side BD by following proportion formula:

BD / AD = CD / BD

BD² = AD · CD

BD = √(AD · CD)

And the length of the line segment AB can be determined by Pythagorean theorem:

AB = √(BD² + AD²)

If we know that AD = 4 and CD = 12, then the length of the line segment AB is:

BD = √(4 · 12)

BD = √48

BD = 4√3

AB = √[(4√3)² + 4²]

AB = 8

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The correct symbol for the given equation in the blank is the sign of non-equal to that ≠.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

here, we have,

Let's solve the given equation,

3 (3+4) = 3³

3 (7) = 27

21 ≠ 27.

Therefore, it shows that LHS ≠ RHS.

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Answer: 2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]\frac{1}{2} *\frac{10}{1} = \frac{10}{2} = 5[/tex]

Answer:

25

Step-by-step explanation:

Let's assume the number of boys in the class is "x". Then, according to the problem, the number of girls in the class is 2.5 times the number of boys, which can be expressed as:

number of girls = 2.5 * number of boys

We also know that the total number of students in the class is 35. Therefore, we can write an equation in terms of "x" as follows:

x + 2.5x = 35

Simplifying the above equation, we get:

3.5x = 35

Dividing both sides by 3.5, we get:

x = 10

This means that there are 10 boys in the class. To find the number of girls, we can use the equation we derived earlier:

number of girls = 2.5 * number of boys

number of girls = 2.5 * 10 = 25

Therefore, there are 25 girls in the class.

Therefore , the solution of the given problem of  test statistic comes out to be  Using a t-table or calculator, with 66 degrees of freedom (df = n1 + n2 - 2), we find the p-value to be approximately 0.039.

The Z-statistic has been the test statistics for anything resembling a Z-test and it confirms that the ordinary standard neutral hypothesis is true. Consider doing two separate X-y tests with a 0.05 level of significance and getting a 2.5 R-t value from your data (also referred as a Z-value). The p-value associated with this Z-value is 0.0124.

Here,

The hypotheses are:

Null hypothesis: There is no significant difference in punishment between those who smiled and those who remained neutral during a court proceeding.

Alternative hypothesis: There is a significant difference in punishment between those who smiled and those who remained neutral during a court proceeding.

To test this claim, we can use a two-sample t-test since we are comparing the means of two independent samples.

The formula for the test statistic is:

t = (x1 - x2) / sqrt((s1² / n1) + (s2² / n2))

where:

x1 = sample mean of those who smiled

x2= sample mean of those who remained neutral

s1 = sample standard deviation of those who smiled

s2 = sample standard deviation of those who remained neutral

n1 = sample size of those who smiled

n2 = sample size of those who remained neutral

Substituting the given values, we get:

t = (4.9 - 4.1) / sqrt((1.7² / 34) + (1.5² / 34))

t ≈ 2.116

Using a t-table or calculator, with 66 degrees of freedom (df = n1 + n2 - 2), we find the p-value to be approximately 0.039.

Since the p-value (0.039) is less than the significance level (0.10), we reject the null hypothesis. Therefore, we have sufficient evidence to conclude that there is a significant difference in punishment between those who smiled and those who remained neutral during a court proceeding.

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Yellow makes up approximately 17.32% of the total number of trips.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.

To find the percentage of the total that Yellow makes up, divide the total number of Yellow trips by the overall total number of trips, and then multiply by 100 to convert to a percentage -

Yellow total = 820

Overall total = 4730

Yellow percentage = (820/4730) x 100%

Yellow percentage = 0.1734

Yellow percentage = 17.34%

Therefore, Yellow makes up approximately 17.32% of the total number of trips.

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The answer comes to $43,592.00. 28 can be wiped from the account after 20 years, leaving nothing behind.

Think about taking out a $1,000 loan with a seven-year, 10% interest rate. The first year's interest would cost you $100. You would pay $1,100 in interest the next year, which is the sum of the initial amount plus interest. Because of this, your salary for the upcoming year will be $110 (1,100 times 0.10).

Calculate the Yearly Amount (A) given the Prepaid Value (P), at interest rate I over n periods using the equation (A/P, I n).

The equation is:

[tex]A=P \frac{i(1+i)^n}{(1+i)^n-1}[/tex]

Where:

P is the Present value = $500,000

A is the monthly Amount

i is the interest rate = 0.06

20 years are the number of periods (n).

Substituting values:

[tex]A=\$ 500,000 \frac{0.06(1.06)^{20}}{(1.06)^{20}-1}=\$ 43,592.28[/tex]

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This expression gives the mean number of coupons you will need to collect before you have a complete set, given that each coupon obtained is equally likely to be any one of the c types.

In general, probability is a measure of the likelihood that a certain event or outcome will occur. It is a branch of mathematics concerned with analyzing and quantifying uncertainty. In formal terms, the probability of an event is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. Probabilities between 0 and 1 represent the degree of uncertainty associated with the event.

Here,

The probability that the first n coupons collected do not form a complete set can be found as follows:

Let S be the event that the first n coupons do not form a complete set, and let Ci be the event that the i-th coupon collected is a new type (i.e., a coupon of a type that has not been collected before).

Then, the event S can be expressed as the intersection of the events C1, C2, ..., Cn, where each Ci is independent of the others and has probability (c-i+1)/c of occurring. This is because there are c-i+1 types of coupons remaining after i-1 types have been collected, and each of these types is equally likely to be the next coupon collected.

So, the probability of S can be calculated as:

P(S) = P(C1 ∩ C2 ∩ ... ∩ Cn) = P(C1) × P(C2) × ... × P(Cn)

= (c-1)/c × (c-2)/c × ... × (c-n+1)/c

= Π(i=1 to n) (c-i+1)/c

To deduce an expression for the mean number of coupons you will need to collect before you have a complete set, let X be the random variable representing the number of coupons collected until a complete set is obtained. Then, the expected value of X can be calculated using the formula:

E(X) = Σ(k=1 to c) P(X ≥ k)

This formula sums the probabilities of all possible numbers of coupons collected until a complete set is obtained, weighted by their respective probabilities.

Note that P(X ≥ k) is the probability that a complete set has not been obtained after k-1 coupons have been collected, which is equal to the probability of the event S above. So, we can substitute the expression for P(S) into the formula for E(X) to get:

E(X) = Σ(k=1 to c) P(X ≥ k)

= Σ(k=1 to c) Π(i=1 to k-1) (c-i+1)/c

= Σ(k=1 to c) Π(i=0 to k-2) (c-i)/c

= Σ(k=0 to c-1) Π(i=0 to k-1) (c-i)/c (by changing the index of summation)

= Σ(k=0 to c-1) (c-k)/cˣ

= c Σ(k=0 to c-1) (1/c)ˣ - Σ(k=0 to c-1) (k/c)ˣ

= c (1 - (1/c)ˣ)/(1 - 1/c) - B(c, 1/c)

where B(c, 1/c) is the sum of the first c terms of the series (k/c)ˣ.

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