two arithmetic sequences $a$ and $b$ both begin with $30$ and have common differences of absolute value $10$, with sequence $a$ increasing and sequence $b$ decreasing. what is the absolute value of the difference between the $51$st term of sequence $a$ and the $51$st term of sequence $b$?

It would provide a reference for the effects of random environmental factors.

A control group is a statistically significant subset of experiment participants who are not exposed to factors. For example, in a pharmaceutical medication research, the control group is given a placebo, which has no impact on the body. Assume you want to put a new ADHD medicine to the test. One group would be given the new drug, while the other would be given a tablet that looked precisely like the one given to the others, but it would be a placebo. The control group would be the group that receives the placebo.

Here,

It would serve as a reference for the effects of uncontrollable environmental elements.

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Answer:

The word amphibian is a Greek word. It is the combination of the world “amphi,” which means dual, or both kinds and the word “bio,” which means life.

Step-by-step explanation:

The name amphibian, derived from the Greek amphibios meaning “living a double life,” reflects this dual life strategy—though some species are permanent land dwellers, while other species have a completely aquatic mode of existence. Approximately 8,100 species of living amphibians are known.

If Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died , then the most appropriate for the domain of h is (c) -2 ≤ t ≤ 98  .

The term Domain is defined as the set of its possible inputs .

number of days before which the Pooja's plant sprouted = 2 days ,

the number of days Pooja had the plant is = 98 days ,

the height of the plant is denoted by the function ; h(t) .

where "t" is the number of days after she bought the plant .

From the above data , we can conclude that the domain for the function h(t) is -2 ≤ t ≤ 98   .

Therefore , the correct option is (c) -2 ≤ t ≤ 98  .

The given question is incomplete , the complete question is

Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died. at its tallest, the plant was 30 centimeters tall. h(t) models the height of Pooja's plant (in centimeters), t days after she bought it. Which number type is more appropriate for the domain of h ?

(a) 0 ≤ t ≤ 30

(b) 0 ≤ t ≤ 100

(c) -2 ≤ t ≤ 98

(d) 2 ≤ t ≤ 30

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The recurrence relation for the number of bit sequences of length n with an even number of 0s is 2 [tex]a_{n-1}[/tex] for n>=2 and a1=1.

Let a be the even number of 0s in all the bit sequences of length n.

1st instance. The sequence begins with a 1, and there are [tex]a_{n-1}[/tex] such strings of length n-1 that must contain an even number of 0s.

Second instance. The sequence must begin with a 0, followed by an odd number of 0s in the subsequent n-1-length sequence. An even number of 0s can be found in one of the [tex]2^{n-1}[/tex] possible bit strings, so [tex]2^{n-1} -a_{n}[/tex] strings have an odd number of 0s.

[tex]a_{n}= a_{n-1}+2^{n-1} -a_{n-1}\\a_{n}=2^{n-1}[/tex]

Therefore, the recurrence relation is

an = 2[tex]a_{n-1}[/tex] for n >= 2.

a1 = 1.

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the dividend payment from the proceeds from the issuance of common stock to get our total financing activities of $54,400.

A. Cash flow associated with repayment of bond liabilities: $88,400

B. Cash flow associated with the issuance of common stock: $92,800

C. Financing activities section of the statement of cash flow:

Bonds payable:

Repayment of bonds payable ($88,400)

Common stock:

Proceeds from issuance of common stock 92,800

Dividends paid (38,400)

Total financing activities $54,400

The financing activities section of the statement of cash flow shows the cash flow associated with all financing activities of the company. First, we calculate the cash flow associated with the repayment of the bonds. We subtract the Year 2 balance from the Year 1 balance, which gives us a cash flow of $88,400. Next, we calculate the cash flow associated with the issuance of common stock. We subtract the Year 1 balance from the Year 2 balance, which gives us a cash flow of $92,800. Finally, we subtract

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Answer:

graph C

Step-by-step explanation:

if x≥ 0

x + 1 > 7/2

x > 7/2 - 1

x > (7-2)/2

x > 5/2

if x < 0

-x + 1 > 7/2

- x > 7/2 - 1

- x > 5/2

x < -5/2

final solutions

x < -5/2 ∨ x > 5/2

The best description for the inheritance pattern will be incomplete dominance because the offspring display an intermediate form of tail length.

The relationship is referred to be "complete dominance" when the phenotype (the observable trait) of the heterozygote is identical to the dominant homozygote. Complete dominance isn't necessarily the result, but rather imperfect supremacy, as heredity is full of variances and changes.

Although we are aware of total dominance, you might still be unclear as to how partial dominance varies. Is it essentially what the name implies? When one allele for a certain trait is not completely dominant over its counterpart, this is known as partial dominance (or the other allele). The outcome is a mixed phenotype, which is evident in the progeny.

Why does this matter? Each parent's characteristics are neither dominant nor recessive. A third phenotype that combines the traits of the two homozygotes results from a partial dominance relationship between two alleles; this is known as a "intermediate form of inheritance." The features are combined and appear to be "blended," but the alleles do not blend yet, partial dominance is frequently referred to as "blending."

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Answer: incomplete dominance because the offspring display an intermediate form of tail length.

Or C.

Step-by-step explanation:

taking the test on edge

The system of linear equations, y = -x + 1 ; 2y = -2x + 2 has infinite many solutions so it is dependent Consistent .

A system of linear equations consists a pair of equations with same variable. An ordered pair that satisfies all equations of the system is the solution of the system. A linear system of equations is consistently dependent if there are infinitely many solutions. In this case, the system line graph is the same. That is, the equations for the system represent the same line. We have System of equations ,

y = -x + 1 => x + y -1 = 0--(1)

2y = -2x + 2 => 2x + 2y -2 = 0 --(2)

Comparing the equation (1) with standard equation a₁x + b₁y + c₁z = 0 and equation (2) with

a₂x + b₂y + c₂z = 0 , we get

a₁ = 1 , b₁ = 1 , c₁ = -1 , a₂ = 2 , b₂ = 2 , c₂= -2

Now, we check the ratio of coefficients

a₁/a₂ = 1/2 , b₁/b₂= 1/2 , c₁/c₂= -1/-2 = 1/2

=> a₁/a₂ = b₁/b₂= c₁ /c₂

Thus, the lines are coincide with each other then there exist infinite number of solutions since, a line has infinite points. In such a case, the pair of lines is said to be dependent and consistent. Therefore, system of equations is dependent and consistent.

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Given all angle information, the assumption that sides [tex]\overline {BC}[/tex] must not be congruent to [tex]\overline{DA}[/tex] to give an appropriate answer. (Right choice: None)

Any quadrilateral can be divided into two triangles by adding a diagonal. By Euclidean geometry, the sum of the measures of internal angles equals 180°. Likewise, we can determine how short or long a side is in terms of side BD by law of sine:

AD / sin 60° = AB / sin 63° = BD / sin 57°

1.155 · AD = 1.122 · AB = 1.192 · BD

AD = 0.971 · AB = 1.032 · BD

BC / sin 57° = CD / sin 55° = BD / sin 68°

1.192 · BC = 1.221 · CD = 1.079 · BD

BC = 1.024 · CD = 0.905 · BD

By direct inspection and use of equality properties, we find the existence of an absurdity, because 1.032 · BD = 0.905 · BD, then [tex]\overline {BC}[/tex] must not be congruent to [tex]\overline{DA}[/tex] to satisfy all angle conditions.

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Answer: 10

Step-by-step explanation:

10 times 10 = 100

So square root of 100 = 10

Answer: -81

Step-by-step explanation: So, when finding exponents, you have to multiply the # in parentheses (in this case, -3) and multiply it by itself 4 times, so once is 3 x 1, twice is 3 x 3 = 9, three times is 9 x 3 = 27, and finally, 27 x 3 = 81. Oh, and a positive times a negative is ALWAYS negative. I hoped this explains why this is the rule for exponents.

Answer:

Peyton would have 3 papers remaining to grade after working for 12 hours.

Step-by-step explanation:

1. Make an equation to represent this problem.

87 - (7 * 12) = r

(r represents how many papers are remaining after 12 hours.)

2. Solve 7 * 12.

87 - (84) = r

3. Subtract.

3 = r

Answer:

D

Step-by-step explanation:

The correct answer is D. The SSS Triangle Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. In the given situation, triangle ABC and triangle DEF are congruent because all three sides of triangle ABC are congruent to the corresponding sides of triangle DEF.

If 1=3, 2=3, 3=5, 4=4, and 5=4, then it is not possible to determine the value of 6. In this scenario, the numbers are not being used in a consistent or logical manner, so it is impossible to predict what value 6 might have. In general, it is not possible to determine the value of a number based on a series of equations that do not follow the rules of arithmetic.

Step-by-step explanation:

5x - 3 = 5

5x = 8

x = 8/5 = 1.6

5x = 2

x = 2/5 = 0.4

both equations are vertical lines.

the first one (x = 1.6) was moved (translated) left by 1.2 units to become x = 0.4.

Answer:

Step-by-step explanation:

Use the form

a

cos

(

b

x

−

c

)

+

d

to find the amplitude, period, phase shift, and vertical shift.

Answer:

5494.5

Step-by-step explanation:

[tex]\frac{1}{3}(37)(33)(13.5)=5494.5[/tex]

Answer:

y=-0.5

Step-by-step explanation:

3(3)-2y=10

9-2y=10

-2y=1

y=-1/2

Answer:

y=-0.

Step-by-step explanation:

Answer: y= 2x

Step-by-step explanation:

The linear function is y=mx+b

In this case, the m or slope is 2

And the b or y-intercept is 0

So we have the equation

y= 2x

This can be solved by Binomial Probability Distribution Method.

By solving we get P(B) = 0.25.

The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.

P(X=x)=Cₙ.ₓ×p^x×(1-p)^(n-x)

Cₙ,ₓ=[tex]\frac{n!}{x!(n-x)!}[/tex]

The parameters are:

Case 1:

The coin is tossed 4 times, hence n=4

It is a fair coin, so it has equal number of chances for heads and tails. So P(a)=0.5

Case2:

P(B) is P(X=3),hence:

P(X=x)=Cₙ.ₓ×p^x×(1-p)^(n-x)

⇒P(X=3)=C₄,₃×(0.5)^3×(0.5)^(1)

⇒P(X=3)=0.25

This can be solved by Binomial Probability Distribution Method.

By solving we get P(B) = 0.25.

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This can be solved by Binomial Probability Distribution Method.

By solving we get P(B) = 0.25.

The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.

P(X=x)=Cₙ.ₓ×p^x×(1-p)^(n-x)

Cₙ,ₓ= [tex]\frac{n!}{x!(n-x)!}[/tex]

The parameters are:

• x is the number of successes.

• n is the number of trials.

• p is the probability of a success on a single trial.

Case 1:

The coin is tossed 4 times, hence n=4

It is a fair coin, so it has equal number of chances for heads and tails. So P(a)=0.5

Case2:

P(B) is P(X=3),hence:

P(X=x)=Cₙ.ₓ×p^x×(1-p)^(n-x)

⇒P(X=3)=C₄,₃×(0.5)^3×(0.5)^(1)

⇒P(X=3)=0.25

This can be solved by Binomial Probability Distribution Method.

By solving we get P(B) = 0.25.

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Answer:

1.375

Step-by-step explanation:

11/8=1.375

Step-by-step explanation:

the factors are x-2+sqrt(3) and x-2- sqrt(3)

the basic form of the quadratic is x^2-4x+1, multiplying those factors together (there are 9 terms)

y=a(x^2-4x+1) is the general form

-2=a(-2)

a=1

a=(2/11)

the equation is y=x^2-4x+1

Answer:

We can solve this problem by using the information provided in the riddle to create a system of equations. Let x be the number of pencils that were originally in the box. We can then create the following equations:

x < 40

x - 4 = 2

x - 3 = 0

x - 5 = 0

We can then solve this system of equations to find the value of x. First, we note that the second and third equations imply that x is equal to 3 or 5. Substituting these values into the first equation, we find that x cannot be 3, as this would violate the inequality. However, x can be 5, as 5 is less than 40. Therefore, the number of pencils that were originally in the box is 5.

Answer:

1. B

2. A

3. B

4. D

5. C

The vehicle travels 110 feet distance in 1 second duration.

mph expresses the speed or velocity in miles per hour. Speed means rate of change of distance with respect to time.

speed = distance/time

hence, distance = speed x time

the above equation is the relationship between distance, speed and time

we will use the above equation and convert miles to feet and second to hour.

given, speed of vehicle = 75 mph

time = 1 second =1/3600 hour as 1 hour = 3600 second

distance travel by vehicle = speed x time

                                            = 75 mph x 1/3600 hour

                              distance              = 0.020833333 miles

               we know, 1 mile =5280 feet

  distance in feet = 110 feet

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The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.

What is a perpendicular line?

If two geometrical objects overlap at a right angle, they are perpendicular.  It can be defined between two planes, two lines, or two planes and another line.

Here, we have

Given

The point (1, 6) and is perpendicular to the line x + 3y = 27

The slope of the line x + 3y = 27

m = -1/3

The slope of the line perpendicular to the line x + 3y = 27

M = 3

The equation of the line:

y - 6 = 3(x - 1)

y = 3x + 3

Hence, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.

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Answer:

83% to (rare photos) becaheyhw euehem e the same time of 6year and I was in a group with my wife and a daughter and my daughter in the night and I was so happy 4and was a 4ship 4in who 5is and my daughter and my husband were so young that I was in the same 5 year olds and I was in the

The like radicals are 3x√x²y, –12x√x²y, x√yx² and 2√x²y.

A radical expression is an expression containing a square root.

Given are some expressions,

Like radicals are those whose entities in the square root are the same.

So, from the given options, like radicals are:

3x√x²y = This is like radical with the entity x²y  inside the square root.

–12x√x²y = This is like radical with the entity x²y  inside the square root.

x√yx² = This is like radical with the entity x²y  inside the square root.

2√x²y = This is like radical with the entity x²y  inside the square root.

Hence, The like radicals are 3x√x²y, –12x√x²y, x√yx² and 2√x²y.

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