Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for 7, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer 1

Answer:

Area :153.86 m

Circumference: 43.96 m

Step-by-step explanation:

Area: 3.14 x r^2

or, A= 3.14 x 7^2

Therefore, A= 153.86m

Circumference: 2 x 3.14 x r

or, C= 2 x 3.14 x 7

Therefore, C= 43.96 m

Hope this helps:)

(btw I put so much time and effort in this answer as it is hard to type mathematical problems in mobile, so I hope I can get marked as brainliest, I have written all the answer that needs to be written in an exam. Anyone can copy it and their work is done.)


Related Questions

10pts and whoever gets this right gets brainliest✅️​

Answers

Answer:

Step-by-step explanation:

Your second option is your answer;

Arrow pointing to the right with circle filled. Your arrow would start at the 2.

find a recurrence relation for the number of bit sequences of length n with an even number of 0s.

Answers

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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Find the equation of the quadratic given its real roots 2-√3 and 2+√3 which passes through the point (1, -2).

Answers

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

The drama club i elling ticket to their play to raie money for the how' expene. Each tudent ticket ell for $5 and each adult ticket ell for $7. 50. The auditorium can hold at mot 125 people. The drama club mut make no le than $790 from ticket ale to cover the how' cot. If 73 adult ticket were old, determine all poible value for the number of tudent ticket that the drama club mut ell in order to meet the how' expene. Your anwer hould be a comma eparated lit of value. If there are no poible olution, ubmit an empty anwer

Answers

This means that in order to make at least $790, the drama club must sell 47 number of student tickets. 47,48,49,50,51

The first equation is 5x + 7(73) = 790, where x is the number of student tickets. We can solve this equation to determine that x = 47. This means that in order to make at least $790, the drama club must sell 47 student tickets. Then, we can check the other possible values of x to see how many tickets they must sell. The other possible values are 48, 49, 50, and 51. Therefore, the answer is 47, 48, 49, 50, 51.

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Imagine tossing a fair coin 4 times give a probability for this chance process
B define event b as getting exactly three tails find P(B)

Answers

This can be solved by Binomial Probability Distribution Method.

By solving we get P(B) = 0.25.

What is Binomial Probability Distribution?

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.

Explanation:

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.

What is Binomial Probability Distribution?

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.

Explanation:

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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Simplify.
Sqrt • 100

Answers

Answer: 10

Step-by-step explanation:

10 times 10 = 100

So square root of 100 = 10

5. Write the following Arithmetic Sequence using an Explicit Formula: a₁ = 8, an = an-1-2
an = 8+2(n-1)
an=8-2(n-1)
an=2-8(n-1)
an=2+8(n-1)

Answers

The explicit formula of the sequence is (b) a(n) = 8 - 2(n - 1)

How to determine the explicit formula

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

a₁ = 8,

aₙ = aₙ₋₁ - 2

In the above sequence, we can see that the 2 is subtracted from the previous term to get the current term

This means that

first term, a = 8

common difference, d = -2

The nth term is then represented as

a(n) = a + (n - 1)d

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

a(n) = 8 + (n - 1) * -2

Evaluate

a(n) = 8 - 2(n - 1)

Hence, the explicit is (b) a(n) = 8 - 2(n - 1)

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imagine that we rolled a fair, six-sided die 1,000 times. out of 1,000 rolls, how many times do you think the die would come up even (2, 4, or 6)?

Answers

Probability of Number of outcome is an even in likely situation is given as 512

Given that;

Number of time die roll = 1,000

Find:

Probability of Number of outcome is an even

Computation:

Probability of an even = 3 / 6

Probability of an even = 1 / 2

Probability of Number of outcome is an even = [Probability of an even]1000

Probability of Number of outcome is an even = [1/2]1000

Probability of Number of outcome is an even = 500

So most likely outcome is 512

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HELP! I HAVE ONLY 40 mins left!!!! 53 POINTS AND BRIANLYEST

Answers

Option B. The 2 1/3 > 2 1/6

What does the word amphibian come from? like amphi comes from the word ** and Brian comes from the word **

Answers

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.

The punnett square shows the results when two parent dogs are crossed. L represents the allele for a long tail, and l represents the allele for a short tail. Which best describes this inheritance pattern? incomplete dominance because neither allele for tail length is dominant codominance because neither allele for tail length is dominant incomplete dominance because the offspring display an intermediate form of tail length codominance because the offspring display an intermediate form of tail length.

Answers

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

pooja's plant began sprouting 222 days before pooja bought it, and she had it for 989898 days until it died. at its tallest, the plant was 303030 centimeters tall. h(t)h(t)h, (, t, )models the height of pooja's plant (in centimeters), ttt days after she bought it. which number type is more appropriate for the domain of hhh?

Answers

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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slope: 3; y-intercept: -8

Answers

Answer:

Use desmos to help with slopes and finished equations its a graphing calculator and its very helpful

Step-by-step explanation:

Answer:

y=3x-8

Step-by-step explanation:

slope, or m (3), is always next to an x. y-intercept (-8) goes always after the mx

Please help! I need the answers and work for them, please and thank you!

Answers

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.

Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.

Answers

Answer:

13 × 10 = 130 ( it's a rectangle)

5² π /2 ≈ 12.5 × 3.14 = 39.25 ( semicircle)

130 + 39.25 = 169.25 ≈ 170

The following account and correponding balance were drawn from Dexter Company’ Year 2 and Year 1 year-end balance heet. Account Title Year 2 Year 1
Bond payable $213,600 $302,000
Common tock 374,900 282,100

Other information drawn from the accounting record:

Dividend paid during the period amounted to $38,400. There were no bond liabilitie iued during the period. Required
a. Compute the amount of cah flow aociated with the repayment of bond liabilitie. B. Compute the amount of cah flow aociated with the iue of common tock. C. Prepare the financing activitie ection of the tatement of cah flow

Answers

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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Factor the perfect-square trinomial in y = (x2 2x 1) − 1− 1. y = (x )2 − 1 −1

Answers

The perfect square trinomial in y = ( [tex]x^{2} + 2x + 1[/tex] ) -1 - 1 will be

[tex](x+1)^{2}[/tex]

The perfect square trinomial in y = (x + 2)2 - 1 - 1 will be

⇒ Null

A perfect square trinomial can be expressed as the square of a binomial,

We can write the first expression as,

y = [tex]x^{2} + 2x + 1[/tex]

y = [tex]x^{2} + 2x + 1 - 2[/tex]

⇒ [tex]x^{2} + x + x + 1[/tex]

⇒ [tex]x(x + 1) + 1(x + 1)[/tex]

⇒ (x + 1) (x + 1)

⇒ [tex](x + 1)^{2}[/tex]

Therefore, according to the first expression, [tex](x^{2} + 2x + 1) -1 - 1[/tex] is a perfect square binomial with the factor = [tex](x + 1)^{2}[/tex]

According to the second expression, y = (x +2)2 − 1 −1

This expression does not show any factors

Therefore, this second expression doesn't have any perfect square trinomial factors.

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Factor the perfect-square trinomial in y = (x2 + 2x + 1) − 1− 1, y = (x +2)2 − 1 −1

Answer: 1

Step-by-step explanation:

got it right

Find the dimensions of a right triangle if it’s area is 40m^2 where the height is 2 meters less than the base.


base = _ meters
height= _ meters

Answers

Answer:

The dimensions of the right triangle are 9 meters by 7 meters.
or
The base of the triangle is 9 meters, and the height is 7 meters (since the height is 2 meters less than the base).

Step-by-step explanation:

To find the dimensions of the right triangle, we can use the formula for the area of a triangle, which is:

A = 1/2 * b * h

Where b is the base and h is the height of the triangle. In this case, we know that the area of the triangle is 40 square meters, and the height is 2 meters less than the base, so we can write the equation as:

40 = 1/2 * b * (b - 2)

To solve for b, we can rearrange the equation to get b by itself:

40 = 1/2 * b^2 - b

Then, we can move all the terms involving b to the left-hand side of the equation and all the constants to the right-hand side:

1/2 * b^2 - b - 40 = 0

Next, we can use the quadratic formula to solve for b:

b = (-(-1) +/- sqrt((-1)^2 - 4 * (1/2) * -40)) / (2 * (1/2))

Which simplifies to:

b = (1 +/- sqrt(1 + 80)) / 1

Since b must be a positive number, we take the positive solution:

b = (1 + sqrt(81)) / 1

Therefore, the base of the triangle is 9 meters, and the height is 7 meters (since the height is 2 meters less than the base). Thus, the dimensions of the right triangle are 9 meters by 7 meters.

show that f is continuous on (−[infinity], [infinity]). f(x) = 1 − x2 if x ≤ 1 ln(x) if x > 1

Answers

The function f is continuous on (-∞, ∞).

What are Continuous Functions?

A function f is said to be continuous at a point 'a' if,

lim ₓ→a f(x) = f(a).

f(x) = [tex]\left \{ {{1-x^2 if x\leq 1} \atop {ln x if x > 1}} \right.[/tex]

That is, if x ≤ 1, f(x) = 1 - x² and if x > 1, f(x) = ㏑ x

Taking interval (-∞, 1], f(x) is a polynomial 1 - x².

Polynomials are continuous everywhere. So f is continuous at (-∞, 1].

Now take the interval (1, ∞).

[tex]\lim_{x \to \infty} f(x)[/tex] = [tex]\lim_{x \to \infty} lnx[/tex] = ㏑ ∞ = ∞ = f(∞)

So f is continuous at the interval (1, ∞)

To check for continuity at 1,

lim x → 1⁻ f(x) = lim x → 1⁻ [1 - x²] = 1 - 1² = 0

lim x → 1⁺ f(x) = lim x → 1⁺ ㏑ x = ㏑ 1 = 0

So, lim x → 1⁻ f(x) = lim x → 1⁺ f(x)

So f is continuous in the whole interval (-∞, ∞).

Hence the function f(x) = [tex]\left \{ {{1-x^2 if x\leq 1} \atop {ln x if x > 1}} \right.[/tex] is continuous on the interval  (-∞, ∞).

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Which expression finds enzo’s net worth? 127,100 dollars minus 88,500 dollars 127,100 dollars divided by 88,500 dollars 88,500 dollars 127,100 dollars 88,500 dollars minus 127,100 dollars

Answers

An expression that finds Enzo's net worth is:

$ 127100 - $ 88500.

What is the net worth?

The amount by which the value of the assets exceeds the liabilities is the net worth (equity) of the business. The net worth reflects the amount of ownership of the business by the owners. The formula for computing net worth is. Assets - Liabilities = Net Worth.

Enzo's net worth is the difference between the amount of money he has and the amount of money he owes. Therefore, the correct expression is: 88,500 dollars minus 127,100 dollars.

net worth = Assets - liabilities

net worth = 127100 - 88500

net worth = 38600.

This expression would give us the difference between the two amounts, which is the net worth.

The other expressions are not correct because they do not represent the difference between the two amounts.

127,100 dollars minus 88,500 dollars would give us the difference between the two amounts, but this difference would be the opposite of the net worth.

127,100 dollars divided by 88,500 dollars would give us the ratio of the two amounts, which is not the same as the net worth.

88,500 dollars is just the amount of money that Enzo has, and it does not take into account the amount of money he owes.

127,100 dollars is just the amount of money that Enzo owes, and it does not take into account the amount of money he has.

Hence, An expression that finds Enzo's net worth is:

$ 127100 - $ 88500

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I the ytem of equation conitent and independent conitent and dependent or inconitent
Y=-x1
2y=-2x2

Answers

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

What is dependent Consistent system ?

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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Which of the following are like radicals? Check all of the boxes that apply.
\

Answers

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

What are radicals?

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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Increase by
50%
Decrease by
5%
A number went into this machine and 57 came out.
What number went in?

Answers

Answer:

Step-by-step explanation:

Let x be the number that went in,

[x(1+50%)]x(1-5%)=57
x(1+50%)=60

x=40

The solution is, the number went in is 40.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

when a number Increase by 50% & Decrease by 5%,

then, A number went into this machine and 57 came out.

Let x be the number that went in,

so, using the given condition, we get,

[x(1+50%)]x(1-5%)=57

x(1+50%)=60

x=40

Hence, The solution is, the number went in is 40.

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Peyton is a teacher and takes home 87 papers to grade over the weekend. She can grade at a rate of 7 papers per hour. How many papers would Peyton have remaining to grade after working for 12 hours

Answers

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

Two friends, Nayeli and Aiden, had just bought their first cars. The equation y=22.8xy=22.8x represents the number of miles, yy, that Nayeli can drive her car for every xx gallons of gas. Aiden uses 5 gallons of gas to drive 210 miles in his car.
How many miles less does Nayeli's car travel on one gallon of gas than Aiden's car?

Answers

Answer:

Step-by-step explanation:

Use the form

a

cos

(

b

x

c

)

+

d

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

If 1=3

2=3

3=5

4=4

5=4

Then, 6=?

Answers

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.

Find the volume of question number 14

Answers

Answer:

5494.5

Step-by-step explanation:

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

Select the graph for the solution of the open sentence. Click until the correct graph appears.

|x| + 1 > 7/2

Answers

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

a tea shop sells 42 varieties of boxes of tea. iroh purchases 5 boxes of tea. how many ways are there for iroh to make a selection if there is no restriction on the varieties of tea purchased from the shop?

Answers

a tea shop has a variety of boxes of tea. she purchased 5 and no restrictions. the answer is tea

What is the coefficient of the x¹y³ term in the expansion of (x - 2y)'?
X
-8
560
-280
35

Answers

-280 Sorry I just need to answer
Other Questions
Officer thomas prefers to use a 35mm single-lens camera to document crime scenes. What is one advantage of using a 35mm camera at a crime scene instead of using a digital camera?. What is the slope of the lines that passes through (0,0) and (7,6) A group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". when this interesting creature dies, it explodes itself into a number of baby piknits called gogles. the scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. after the piknits died they counted the number of gogles that each piknit produced. they wanted to know if the weight of the piknits can be used to predict the number of gogles.What are the appropriate null and alternative hypotheses? an individual suffering from a paralyzing fear of clowns visits a therapist. the therapist gradually exposes the patient to an image of a clown, then a movie featuring clowns, and finally to an in-person encounter with a clown. which perspective is most consistent with this therapeutic approach? What is the quotient of three and one third three fourths? the credit(s) recorded in the journal to reimburse the petty cash fund is to a.various accounts for which the petty cash was disbursed. b.petty cash. c.accounts receivable. d.cash. Consider an arbitrary system which has a memory of size 2048 bytes and a cache size of 32 bytes. Consider, each cache block is of 2 words ( 1 word = 4 Bytes) and the system uses a direct-mapped cache. If the cache is initially empty, then a. indicate if the cache access results in hit or miss for each of the following addresses the processor generates in sequence: [25 Marks] You need to show all the steps required to derive your result. b. calculate the cache hit rate for the above address references. [2 Marks] Multiple choice math One of the methods forensic investigators use for estimating the age at death of a human, or the age of a living individual (for example for legal reasons or to verify identity) is based on measurement of the biochemical changes in amino acids within the teeth or bones. As bones and teeth age the ratio (R/L) of two amino acids, denoted simply as R and L, increases. The biochemical changes that occur over time in these amino acids follow an exponential law. The age t, in years, can be estimated from (R/L) using the equation t = b0 + b1*LN((1+R/L)/(1-R/L))^(), where LN denotes the natural logarithm (logarithm base e). This Excel file has data on the ratio (R/L) from the teeth of human subjects of known age. Question 1. Use the data to find the least squares intercept b0 and slope b1 in the equation t = b0 + b1*LN((1+R/L)/(1-R/L))^(). intercept b0 slope b1 Question 2. While tending to his flower garden, Sherlock Holmes discovers a body buried in his backyard. Forensic analysis yields the value 0.045 for the ratio (R/L). Use the least squares equation to estimate the age of Sherlock Holmes' surprise garden visitor. years Question 3. Calculate a 95% prediction interval for the age at death of Sherlock Holmes' surprise garden visitor. lower bound upper bound Question 4. Several years ago a man in Sherlock Holmes's neighborhood mysteriously disappeared. At the time of the disappearance the man was 35 years old. Do you think that this is the body of that man? No YesAge as a Function of R/LR/LLN[(1+(R/L))/(1-(R/L))]Age(yrs)0.0253140.026180.0314210.0302210.0343250.0327250.0317260.0312260.0342260.0338270.0325280.0334280.0334290.0333300.0362330.0359330.0401360.0375360.0398370.0424380.0424380.0404410.0489490.0498530.0518570.0526630.0588690.057969 A point has a positive x-coordinate and a positive y-coordinate. which quardrant is in it a shipment of 14 televisions sets contains 4 defective sets. a hotel purchases 8 of these televisions sets. what is the probability that the hotel receives at least one of the defective sets? Read the excerpt from Dr. Martin Luther King Jr's "I Have a Dream" speech.[1] I am happy to join with you today in what will go down in history as the greatest demonstration for freedom in the history of our nation.[2] Five score years ago, a great American, in whose symbolic shadow we stand today, signed the Emancipation Proclamation. This momentous decree came as a great beacon light of hope to millions of Negro slaves who had been seared in the flames of withering injustice. It came as a joyous daybreak to end the long night of their captivity.[3] But one hundred years later, the Negro still is not free; one hundred years later, the life of the Negro is still sadly crippled by the manacles of segregation and the chains of discrimination; one hundred years later, the Negro lives on a lonely island of poverty in the midst of a vast ocean of material prosperity; one hundred years later, the Negro is still languished in the corners of American society and finds himself in exile in his own land.Which phrase from the text provides the best context clue to determine the meaning of "captivity" in paragraph 2?Group of answer choicesJoyous daybreakOne hundred yearsStill not freeSadly crippled The table below shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine.What is the rate of change (slope) of the distance in feet below sea level with respect to time that the submarine traveled? Place your answer in the box: in a fruit basket there are 120 fruits some are plums costing 2$ each and others are peaches costing 3$ each total cost of plims was 30$ more than the cost of peaches how many plums and how many peahces are there it is not possible to target fungal cytoplasmic membranes because fungi are eukaryotes, so medications affecting fungal membranes would also target human cell membranes. True or false . Identify the term that best describes the italicized word.LaKeisha was the only student (who knew which )book had been assigned.proper adjectiveO indefinite adjectiveO interrogative adjectiveO demonstrative adjective a norman window has the shape of a rectangle surmounted by a semicircle. (thus the diameter of the semicircle is equal to the width of the rectangle, labeled x.) a window with the shape of a rectangle surmounted by a semicircle. the diameter of the semicircle is equal to the width of the rectangle. the rectangle has width x. if the perimeter of the window is 32 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted. In 1972, E. Eisen et al. (Genetics 72:129-142) conducted experiments in which they continuously selected for increased 12-day litter weight in a population of mice. They observed that the litter weight steadily increased but leveled off after 17 generations. Eisen et al. then began reverse selection by selecting for decreased 12-day litter weight starting with one of the generation-17 families. This group began immediately to respond to selection as the weight dropped 4.8 g after one generation and 7.3 g after five generations. Based on the results of the reverse selection, what is the most likely explanation for the leveling off of 12-day litter weight in the original population? A. Genetic selection plateau B. Physiological selection plateau C. Transgressive segregation D. Overdominance E. Heterosis many partitional clustering algorithms that automatically determine the number of clusters claim that this is an advantage. list two situations in which this is not the case. g' 12 viruses frequently infect bacteria and insert new genes into the genetic material of the bacteria. when these infected bacteria reproduce asexually, which genes would most likely be passed on? select one: a. only the new genes b. both the original and the new genes c. neither the original nor the new genes d. only the original genes