ASAP please!! What is the best approximation for one of the relative minimums of the
polynomial function graphed below?

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

The missing exponent is 0

Step-by-step explanation:

The reason is because there is no x at the end of the equation. This means that x must have been 0 for it to not be there.

The value of the function f(x) = 3x^2 - 2x + 1 at x = -1, will be 6

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Algebraic expressions are expressions that are made up of variables and constants. Any value can be assigned to a variable. The value of an expression changes depending on the values assigned to the variables it includes. There are an unlimited number of points on a number line.

To evaluate the function f(x) = 3x^2 - 2x + 1 at x = -1,

we simply substitute -1 for x in the expression:

f(-1) = 3(-1)^2 - 2(-1) + 1

= 3(1) + 2 + 1

= 6

Therefore, f(-1) = 6.

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Answer:

A

Step-by-step explanation:

12.5% is 4 of 32. Devide 4 by 32 you get the 0125

Answer:

A 12.5%

Step-by-step explanation:

let p be the percentage that 4 represents.

\(32\longrightarrow 100 \%\\4 \longrightarrow \text{p} \%\)

Then

\(p=\frac{4}{32} \times 100\)

  \(= 0.125 \times 100\)

  \(=12.5\)

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.

Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:

P(full) = Number of full trains / Total number of trains observed

P(full) = 14 / 20

Simplifying the fraction, we get:

P(full) = 7 / 10

Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

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Stocks = 250

Net income = $4,000,000

Outstanding Shares = $1,000,000

Earnings Per Share = ?

Formula: EPS = Net Income / Outstanding Shares

Solution: EPS = Net Income / Outstanding Shares

= $4,000,000 / $1,000,000

= 4

Answer: Earnings Per Share = 4

Answer:

4

Step-by-step explanation:

PLATO correct answer

Answer:

TO HEAR BETTER

Because as quality increases the tone increases

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:

Step-by-step explanation:

The congruent reason for the triangles is (b) HL theorem

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

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

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Answer:

The answer is >

Step-by-step explanation:

11/2 as a percentage is equal to 550% which is greater than (>) 55%

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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Answer:

x=6y

Step-by-step explanation:

For each x the y would go up 6.

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

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Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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Answer:

The answer is D.) 4 units.

Step-by-step explanation:

Hope this helps!

If D be a region bounded by a simple closed path C in the xy-plane, then the centroid of the quarter circle is  (4a/3π , 4a/3π)   .

In the question ,

it is given that D is the region bounded by a simple closed path C in the xy-plane .

the radius of the circle is = "a" ,

let the equation of the circle be x² + y² = a² ,

So , the area of the quarter circle is (A)  = (1/4)*πa²

The coordinate of the centroid x will be :

x = \(\frac{1}{2A} \int\limits x^{2} dy\)

x = \(\frac{1}{2(\frac{\pi a^{2} }{4})} \int\limits^a_0 {a^{2} -y^{2} } \, dy\)

Simplifying further ,

we get ,

x = 2/πa² [{a²(a) - a³/3} - 0 ]

x = 2/πa² [a³ - a³/3 ]

x = 4a/3π

The coordinate of the centroid y will be :

y = \(\frac{1}{2A} \int\limits y^{2} dx\)

y = \(\frac{1}{2(\frac{\pi a^{2} }{4})} \int\limits^a_0 {a^{2} -x^{2} } \, dx\)

Simplifying further ,

we get ,

y = 2/πa² [{a²(a) - a³/3} - 0 ]

y = 2/πa² [a³ - a³/3 ]

y = 4a/3π

Therefore , the coordinates of the centroid is (4a/3π , 4a/3π) .

The given question is incomplete , the complete question is

Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid x, y of D are x = \(\frac{1}{2A} \int\limits x^{2} dy\)  ,  y = \(\frac{1}{2A} \int\limits y^{2} dx\) ?  

Find the centroid of a quarter-circular region of radius a.

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SOLUTION

We want to select all triangles from the image that can be proven by the side angle side theorem which states that

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Now looking at the triangles

We can see that triangles in number 1, 2, 3 follows this theorem.

4 does not because the equal angles are not present

5, the triangles are congruent, but do not follow the SAS theorem

6 follows as we can see the equal sides and angle

7 shows two equal angles only, but we need one equal angles and two equal sides.

Hence the answer is 1, 2, 3 and 6 only

Answer:

8200 * 100 = 820,00

820,000 ÷ 10 = 82,000

820 * 10 = 8200

82,000 ÷ 1,000 = 82

Step-by-step explanation:

Love your username btw

Arithmetic operations contain operations such as Addition, Subtraction, Multiplication, and Division.

Arithmetic operations exist as a branch of mathematics, that concerns the analysis of numbers and operation of numbers that exist valid in all the other constituents of mathematics. It essentially contains arithmetic operations such as Addition, Subtraction, Multiplication, and Division.

8200 \(*\)100 = 8,20,000

820000 ÷ 10 = 82,000

820 \(*\) 10 = 8,200

82000 ÷ 1000 = 82

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The equation of the line that has a slope of 3 and passes through the given point is expressed in point-slope form as: y + 1/2 = 3(x - 2).

The equation that represents a straight line graph can be expressed in point-slope form where (a, b) is a point on the line and m is the slope of the line as, y - b = m(x - a).

Given the line has a slope (m) that is 3, and passes through the point (a, b), which is (2, -1/2), to write the equation of the line in point-slope form, substitute m = 3, a = 2, and b = -1/2 into the equation y - b = m(x - a):

y - (-1/2) = 3(x - 2)

Simplify

y + 1/2 = 3(x - 2) [equation of the line in point-slope form].

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Answer:

It's C, Took the test on edge 2022 .

Step-by-step explanation:

Answer:

We count across to 4 on y axis = 2

and count down from 4 to  -2 on x axis = -6

-6/2 = -3

m = -3

We know its minus because the reciprocal is the perpendicular imaginary line and if -3 is for the descending line then any ascending perpendicular line would show m = -1/-3 = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 142.7-cm and a standard deviation of 2.2-cm.

Find the probability that the length of a randomly selected steel rod is between 137.6-cm and 143.6-cm.

P(137.6-cm < X < 143.6-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answer:

The possible number of combination to select two positions from 9 people is 72.

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  \(\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)\)

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

The equivalent equatiοn x² + 16x = 22 will be (x + 8)² = 86. Then the cοrrect οptiοn is A.

The equivalent is the expressiοns that are in different fοrms but are equal tο the same value. Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value(s) fοr the variable(s).

The equatiοn is given belοw.

x² + 16x = 22

Add bοth side 64.

x² + 16x + 64 = 22 + 64

        (x + 8)² = 86

Then the cοrrect οptiοn is A.

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Complete question:

Which equation is equivalent to the given equation? x² + 16x = 22

a. (x+8)² = 86

b. (x+8)² = 38

c. (x+16)² = 278

d. (x+4)² = 22

Answer:

Jim needs three apples.

Step-by-step explanation:

1/3 x 8 =

8/3 =

2 and 2/3

Round up to three apples.

\(2\frac{2}{3}\) apples Jim need to serve.

An expression is combination of variables, numbers and operators.

Given that Jim is cutting up apples to serve.

1/3 of an apple to each of the 8 people at the meeting.

We need to find the number of apples Jim need to serve.

1/3 of an apple to each of the 8 people.

We have to use multiplication to find this as there is a off in the sentence.

1/3×8

8/3

\(2\frac{2}{3}\)

Hence, \(2\frac{2}{3}\) apples Jim need to serve.

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Data handling is the process of ensuring that research data is stored, archived, or disposed of in a safe and secure manner during and after the conclusion of a research project.

The following are the given details:

Item  Leadtime   On hand Inventory Lot sizing criteria Schedulereceipts

A             2                0                                   L4L                  10 in week 2

B             1                 0                                   LAL                       0

C             1                 10                                  50                       0

D             2                0                                   50                       0

E             1                 50                                180               50 in week 1

F             1                180                                L4L               50 in week 1

The Complete MRP schedule can be seen in the attached images below:

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The gross requirements for each component are as follows:

b = 2 x a = 44 units in week 7

c = 3 x a = 66 units in week 7

d = 2 x e + 1 x c + 2 x a

= 110 units in week 3, 56 units in week 6, 44 units in week 7

e = 1 x b = 44 units in week 5

f = 2 x b + 2 x c = 88 units in week 5 and 112 units in week 6

Net requirements = Gross requirements - Projected on hand

Projected on hand = Planned order receipts - net requirements

Planned order receipts = net requirements

Planned order releases = net requirements adjusted as per the lead time

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