Which expressions are equivalent

The rows and columns of the positive integers greater than three are as shown. And the number 5018 is found in the third column.

When performing a permutation test, you repeatedly rearrange one of the variables without affecting the other variable (s). From the given table, we can start with column 4. Here, each row has about 6 numbers. That is singular row has numbers from columns 1 to 6 and an even row from columns 7 to 2.

Then subtract 5018 by 3. We get 5018-3=5015.

Divide this by 6,

5015/6 = 836.

So 5018 is located in an even row from 7 to 2.

Therefore, 5018 is located in the 836th row and 3rd column.

So the required answer is E) 3.

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The vertex of the parabola is at the point (7, 0) and since the vertex of this parabola is (7, 0), the equation of the parabola in graphing form is

The vertex of a parabola is the point on the graph where the parabola reaches its highest or lowest point. To find the vertex of the parabola y = (x - 3)(x - 11), you can average the x-intercepts of the parabola, which are the points where the parabola crosses the x-axis. The x-intercepts of this parabola are at x = 3 and x = 11, so the average of these two points is (3 + 11) / 2 = 7.

To write the equation of the parabola in graphing form, you can use the vertex form of a parabola, which is written as

where (h, k) is the vertex of the parabola and a is a coefficient that determines the direction of the parabola (whether it opens upwards or downwards). Plugging in the values for the vertex and the y-coordinate of the vertex (which is 0), we get

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On solving the provided question we can say that, 8 tiny boxes total were shipped and 13 huge boxes were dispatched.

A formula is a statement that the values ​​of two expressions are equal. The formula essentially says that two things are equal. An equals sign or '=' indicates that. 8+2=12-2 is an example equation. According to the above formula, the left side of the formula is equal to the right side. So the equation is the statement "this is equal to that".

Let x represent the quantity of tiny boxes, and y represent the quantity of large boxes.

21 cartons in all were despatched, according to the first statement.

Equation 1 is as follows:

[tex]x+y=21[/tex]

For the equation's solution, use the substitution approach.

x's value being entered into equation 2

[tex]25(21-y) +70y =1110 \\ 525-25y+70y = 1110\\ 45y = 585\\ Y=13[/tex]

x+13 = 21

X = 8

8 tiny boxes total were shipped.

13 huge boxes were despatched.

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Answer:

94 percent.

Step-by-step explanation:

Since the tool set used to be worth 499, but is now worth 424.15, we divide the two prices.

             Calculation.

424.15/499 = 0.944654788.

We are figuring out the percent, so we need to round.

0.94465478 is about 0.94

0.94 IS EQUALVENT to 94%, so that is our answer.

the null hypothesis is that the mean difference between the two systems is 0 (H0: µD=0).The alternative hypothesis for this problem is HA: µD>0.

The alternative hypothesis (HA) is the opposite of the null hypothesis (H0).

In this problem, the null hypothesis is that the mean difference between the two systems is 0 (H0: µD=0).

Therefore, the alternative hypothesis is that the mean difference between the two systems is greater than 0 (HA: µD>0).The mean difference of the two systems is 2.9 seconds. Therefore, the alternative hypothesis is that the mean difference between the two systems is greater than 0 (HA: µD>0).

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Answer: 16

Step-by-step: 6 - (5(-2)=-10 then the - turns into + and your answer is 6 + 10

The probability of getting exactly zero(0) means which comes with no head is P(no head)=1/4.

When a fair coin is tossed; any of the two outcomes are equally likely: head or tail denoted as 'h' and 't' respectively.

So, when a fair coin is tossed twice; the set of all possible outcomes is: {hh, ht, th, tt}.

Thus, there are 4 possible outcomes.

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The correct equivalent expression to the square root containing a variable is 2a³/5 and the correct option is E.

We shall simplify the expression of the square root containing a variable by carrying out basic mathematics operations to derive its equivalent as follows:

squre root of (36a⁸/255a²) = square root of (36a⁶ × a²/255 × a²)

a² is common and can be cancel out

square root of (36a⁸/255a²) = square root of (36a⁶/255)

square root of (36a⁸/255a²) = square of 36 multiplied by the square root of a⁶ all divided by the square root of 255 {take square root of each}

square root of (36a⁸/255a²) = 6a³/15

square root of (36a⁸/255a²) = 2a³ × 3/5 × 3

we divide through by the common factor 3

square root of (36a⁸/255a²) = 2a³/5

Therefore, the equivalent expression to square root of (36a⁸/255a²) is derived as 2a³/5 which is option E.

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As per the given function, the value of x is lies between the closed interval [0, 4].

The term function in statistics is defined as a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Here we have given that the function f is continuous and differentiable on the closed interval [0,4].

And we need to find correct statement about this interval.

As per the concept of function, we know that if there is a number c in the closed interval [a , b] such that f(c) ≥ f(x) for all x in [a , b].

Here let us consider that a be the number that has been selected.

So, based on the rule of function can be written as,

=> f(a) ≥ f(x)

where a lies between [0, 4].

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Answer:

10.5 oz

Step-by-step explanation:

The large pop and container are similar to the small pop and container.

Thus, we can use proportions to find how much the small container can hold, letting x represent the volume of the small container:

[tex]\frac{14}{8}=\frac{x}{6}\\ 8x=84\\ x=21/2=10.5[/tex]

Answer:

  B.  Incorrectly applied the distributive property

Step-by-step explanation:

You want to find Maria's error in her solution of -2(3x -5) = 40.

The solution can proceed as follows:

  -2(3x -5) = 40 . . . . . . . . given

  -6x +10 = 40 . . . . . . . . . use the distributive property

  -6x = 30 . . . . . . . . . . subtract 10

  x = -5 . . . . . . . . . . divide by -6

Comparing this solution to Maria's, we find that Maria incorrectly applied the distributive property. (She multiplied (-2)(-5) and got -10 instead of +10.)

For 7.45 - 3.029 the reason why they rewrite 7.45 as 7.450 is so as to have both values in three decimal place so the calculation can be easier.

It should be noted that the first digit after the decimal represents the tenths place then the next digit after the decimal  could be reffered to as  hundredths place however the remaining digits continue to fill in the place values until there are no digits left.

It should be noted that Decimal place value  can be described as the place values of all the digits in a given decimal number.

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Answer:228

Step-by-step explanation:

All you have to do is add 108 to 120.

0+8=8, 2+0=2, 1+1=2

   120

   108

+_____

   228

SMPC should pay 136,992.36$ if it wants an 11 percent return. and the balance of the original loan after additional years 142,229.05$.

A monthly rate is a fee for services calculated over a thirty-day period.

Given, Your mortgage will be purchased by the Secondary Mortgage Purchasing Company (SMPC) from the nearby savings and loan. Your mortgage had an initial amount of $153,000 and was obtained five years ago with regular payments at a 10% interest rate. The loan was to be completely repaid over a 30-year period.

Payment Formula  =   PMT (monthly rate, month, -mortgage)

Present value formula   =  PV( monthly rate, month left, - payment, - repayment)

Loan value formula  = PV (monthly rate, month left, -payment)

a. formula   = PMT( 10%/12, 30*12, -153000)

Payment  =  $1342.68

Formula    =  PV(11%/ 12, (30-5)* 12, -1342.68)

Smpc pays  =  $136,992.36

b. Loan balance    =    139134.70$

Formlua   = PV(11%12,5*12, - 1342.68, -139134.7)

Smpc pays  = 142,229.05$

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The reason that is used to prove ΔFGH ≅ ΔJHK is SAS property

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

The two triangles need to be of the same size and shape to be congruent. Both the triangles under consideration should superimpose on each other.

According to the question,

Given : (1) ∠FGH and ∠JHK are right angles

(2) H is midpoint of GK

(3) GH ≅ JK

In ΔFGH and ΔJHK

Therefore ,  ΔFGH  ≅ ΔJHK using  SAS property

Hence , The reason use to prove ΔFGH ≅ ΔJHK is SAS

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Answer: y=pi-3

Step-by-step explanation:

2pi=2y+6

2pi-6=2y

(2pi-6)/2=y

pi-3=y

y=pi-3

hope this helped

The variance is a positive variance because the actual amount spent by Sarah was less than the budgeted amount

A variance is the difference between the budgeted amount and the actual amount. It can be positive or negative, depending on whether the actual amount is more or less than the budgeted amount

Given that, Sarah budgeted $100 for new art supplies and spent $75

Variance = $100 - $75 = $25

Therefore, the variance is a positive variance, since the actual amount spent was less than the budgeted amount. A positive variance represents a favorable situation, where the actual amount spent was less than the budgeted amount

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Answer: The vertex is at (-6, 2). The range is 2 < y < ∞.

Step-by-step explanation:

      y = |2x + 6| + 2 is almost in vertex form, which is y = |x - h| + k. We will divide both values by 2, so the 2 coefficient is on the outside, y = 2|x + 3| + 2.

      After this, we can see that the vertex is at (-h, k). This means the vertex is at (-3, 2).

      For the range, since this V (the shape of an absolute value graph) opens upwards, it will be everything greater than and equal to the y value of the vertex, in this case, 2. That means our range is;

           2 < y < ∞

Answer:

The answer is c, or (3, 2), 2 less than y is greater than infinity

Step-by-step explanation:

I got it right on the test

Have a good day and hope it helps!

Answer:

It is 3 15/28.

Step-by-step explanation:

To solve this problem, we first need to add the whole numbers: 2 + 1 = 3. Next, we need to add the fractions. To do this, we need to find a common denominator for the fractions 2/7 and 1/4. A common denominator for these two fractions is 28, so we can convert the fractions to equivalent fractions with a denominator of 28: 2/7 is equivalent to 8/28 and 1/4 is equivalent to 7/28. With the fractions written in this form, we can add them to get 8/28 + 7/28 = 15/28.

Finally, we need to add the whole number 3 and the fraction 15/28 to get our final answer. To do this, we need to convert the fraction 15/28 to a mixed number. We can do this by dividing 15 by 28 to get a quotient of 0 and a remainder of 15. This means that the mixed number equivalent of 15/28 is 0 + 15/28. Therefore, our final answer is 3 + 0 + 15/28 = 3 + 15/28 = 3 15/28. This is the simplest form of the mixed number, so our final answer is 3 15/28.

The correct boolean expression to test for int x being a value between, including, 500 and 650, or int y not equal to 1000 is:

((x >= 500 && x <= 650)|| (y != 1000))

This expression uses the "&&" operator to test for x being greater than or equal to 500 and less than or equal to 650, and the "||" operator to test for y not being equal to 1000. The expression is using the correct comparison operators and logical operators to test for the desired conditions.

A boolean expression is a statement that evaluates to either true or false. It is commonly used in programming to control the flow of a program, as the result of a boolean expression can be used to determine whether a certain block of code should be executed or not.

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Answer:

26%

Step-by-step explanation:

The value of number 13/50 into percentage is,

⇒ 26%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The number is,

⇒ 13/50

Now, We get;

The value of number 13/50 into percentage is,

⇒ 13/50 x 100%

⇒ 13 x 2%

⇒ 26%

Thus, The value of number 13/50 into percentage is,

⇒ 26%

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Answer:

x^2+3x-3

Step-by-step explanation:

(x^2+2x-1)+(x^2+x-5)

2x^2+3x-6

(3x^2+6x-9)-(2x^2+3x-6)

x^2+3x-3

hopes this helps

Answer:

[tex]x^2 + 3x - 3[/tex]

Step-by-step explanation:

The perimeter of a triangle, can be calculated as, the sum of the sides.

So let's first assume the third side is a polynomial, and more specifically, a quadratic in the form: [tex]ax^2+bx+c[/tex]. This assumption is denoted from the fact that the perimeter only has terms up to the degree of 2, also known as x squared. The answer is also a quadratic, so it isn't an unreasonable assumption that if we add two quadratics (the ones given), and add one more quadratic, we should still have quadratic.

So, the sum of the three sides can be expressed as: [tex](x^2 + 2x - 1) + (x^2 + x - 5) + (ax^2 + bx + c)[/tex]

We can combine like terms to get:

[tex](x^2+x^2+ax^2)+(2x+x+bx)+(-1-5+c)[/tex]

Now from here, we can combine like terms (add coefficients):

[tex](2+a)x^2 + (3+b)x + (-6+c)[/tex]

From here, we simply set this equal to the given perimeter of: [tex]3x^2 + 6x-9[/tex], which gives us the equation:

[tex](2+a)x^2 + (3+b)x+(-6+c) = 3x^2 + 6x - 9[/tex]

Now from here, the coefficients need to correspond for both quadratics to be equal to each other, so that means that the following must be true:
[tex](2+a)=3\implies a = 1\\(3 + b) = 6\implies b = 3\\(-6 +c) = -9 \implies c = -3[/tex]

We now plug this into the quadratic standard form to get:

[tex]x^2 + 3x - 3[/tex]

Which is our third side!

a. total estimated uncollectible accounts is $21,190

b. to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690

a. to compute the estimated uncollectible accounts, we have to multiply the specific % to the accounts receivable plus the beginning balance;

•Accounts not due

$36,000 x 4% = $1,440

•Accounts 1 - 60 days past due

$21,000 x 25% = $5,250

•Accounts more than 60 days past due

$16,000 x 50% = $8,000

So the total uncollectible accounts would be; $6,500 + $1,440 + $5,250 + $8,000 = $21,190

b. to record the year-end adjustment of the uncollectible accounts, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690. This figure is the uncollectible amount we computed earlier based on the aging.

Therefore, the total estimated uncollectible accounts is $21,190 and to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690

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Disclaimer

The question given by you is incomplete, so the above answer has been done as per a similar question

Spade Agency separates its accounts receivable into three age groups for purposes of estimating the percentage of uncollectible accounts. In addition, the balance of Allowance for Uncollectible Accounts before adjustment is $6,500 (credit).Accounts not yet due = $36,000; estimated uncollectible = 4%.Accounts 1–60 days past due = $21,000; estimated uncollectible = 25%.Accounts more than 60 days past due = $16,000; estimated uncollectible = 50%.Required:a. Compute the total estimated un-collectible accounts.b. Record the year-end adjustment for estmated un-collectable accounts.

Answer:

The approximate period of the wave representing the airplane's path is 0.9 hours.

Step-by-step explanation:

The period of a wave is the time it takes for one complete cycle of the wave to occur. In the case of the airplane's path, this would be the time it takes for the airplane to complete one full oscillation, or "up and down" motion.

To find the period of the wave, we need to determine the value of x that corresponds to one complete cycle of the wave. In this case, the wave is defined by the function h(x) = 10000cos(0.0001x) + 20000.

To find the period, we can use the formula T = 2π/ω, where T is the period, π is the mathematical constant pi, and ω is the angular frequency of the wave. The angular frequency is related to the frequency of the wave, which is the number of cycles per second.

In this case, the angular frequency is given by the coefficient of the x term in the function, which is 0.0001. Plugging this value into the formula above, we get T = 2π/0.0001 = 200000π seconds.

Since one cycle of the wave corresponds to one complete oscillation of the airplane, the period of the wave is approximately 200000π seconds. This is a very large number, so it is usually more useful to express the period in minutes or hours. To convert to minutes, we can divide the period by 60, which gives us a value of about 3334 minutes. To convert to hours, we can divide the period by 3600, which gives us a value of about 0.9 hours.

In summary, the approximate period of the wave representing the airplane's path is 0.9 hours.

Ask me any questions you may have!

The amount of time it takes for a wave to complete one full cycle is known as the wave's period. This would be the amount of time needed for the plane to perform one full oscillation, or “up and down” motion, in the case of the flight path.

Finding the value of x that represents the wave's full cycle is necessary to calculate the wave's period. The equation h(x) = 10000cos(0.0001x) + 20000 in this instance defines the wave.

The formula T = 2/, where T is the period, is the mathematical constant pi, and is the wave's angular frequency, can be used to determine the period. The wave's frequency, or the number of cycles per second, and the angular frequency are connected.

We may convert the period to hours by dividing it by 3600, which gives us a number of approximately 0.9 hours.

Therefore, The wave that represents the course of the airplane has an approximate period of 0.9 hours.

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The measure of the angle B is 28 degrees

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

A = 34 degrees

a = 6

b = 5

The measure of angle B can be calculated using the following sine ratio

a/sin(A) = b/sin(B)

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

6/sin(34) = 5/sin(B)

So, we have

10.73 = 5/sin(B)

Rewrite as

sin(B) = 5/10.73

Evaluate

sin(B) = 0.4660

Take the arc sin of both sides

B= 28

Hence, the angle is 28 degrees

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The total number of genes involved in fruit diameter in tomatoes is 4.

[tex]1/4^{n}[/tex] = ratio of F2 individuals expressing either extreme Phenotype

In the above equation, 'n' represents the number of genes involved.

The term 'extreme phenotype' refers to the phenotype of one of the parents from the P1 generation. In this case, it denotes the parents with fruit diameters of 8 cm and 16 cm. In the F2 generation, which consists of a total of 256 offspring, there is only 1 offspring that resembles either P1 parent.

The ratio of individuals expressing either extreme phenotype = Number of springs with either extreme phenotype / Total number of off spring.

ratio of F2 individuals expressing either extreme Phenotype = 1/256

Apply the value of 1/256 to the first equation.

That is, [tex]1/4^{n}[/tex]  = 1/256

1[tex]1/4^{4}[/tex] = 1/256

As shown above, the value of 'n' is 4.

Therefore, the total number of genes involved in fruit diameters is 4.

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The probability that in 5 flips, at least 3 tails will come will be 0.36.

Given is that you flipped a weighted coin that comes up heads 40% of the time and tails 60%.

The coin shows up heads 40% of the time and tails 60%, this means that the probability of turning to tails would be 0.6 . For 5 flips that, the probability that at least 3 tails will come will be -

P{A} = (0.6 + 0.6 + 0.6)/5 = 1.8/5 = 0.36

P{A} = 0.36

Therefore, the probability that in 5 flips, at least 3 tails will come will be 0.36

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Division algorithm also known as Euclid division lemma.

This algorithm says when a number a is divided by a number b it gives the quotient q and the remainder r .

then a = bq + r where 0 ≤ r < b.

Dividend = Divisor × Quotient + Remainder

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The slope over the interval 1 ≤  x < 3 is m = 3 / 2 .

Given :

the slope over the interval 1 ≤  x < 3

From the graph :

take two points which lies on the interval

( 1 , 0 ) and ( 3 , 3 )

slope :

Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line .

slope m = y2 - y1 / x2 - x1

= 3 - 0 / 3 - 1

= 3 / 3 - 1

= 3 / 2

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All of the values fall within 1.45 standard deviation of the mean.

From the information given, the mean price of the nonfiction books on a best-sellers list is $24.18 and the standard deviation is $3.98.

It should be noted that from the problem, the variable that is the farthest from the mean is $29.25.

Therefore, the z score will be illustrated as:

Z = (29.95 - Mean) / Standard deviation

Z = (29.95 - 24.18)) / 3.98

= 1.45

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