What is the leading coefficient of a polynomial example?.

h(4) is 2(4)+3 which is 11

therefore g(11) is -4(11) = -44

Answer:

D. (3, 4, 5)

Step-by-step explanation:

\(5 = \sqrt{ {(3)}^{2} + {(4)}^{2} } \\ 5 = \sqrt{9 + 16} \\ 5 = \sqrt{25 } \\ 5 = 5\)

Answer:

The answer is 6 with a remainder of 2.

Step-by-step explanation:

3 times 6 is 18.

Then if you subtract 18 from 20 you get 2.

So 3 goes into twenty, 6 times, and you get a remainder of 2.

Answer:

B; 125

Step-by-step explanation:

45% of 500 is 225. 20% of 500 is 100

225 - 100 = 125

Hope this helps :)

Answer:

B)125

Step-by-step explanation:

i'm just guessing since i don't know the answer. I hope it's right

The correct answer is ∫∫D 9cos(9(v-u)/2) dudv = 2∫[u=-10 to u=1] ∫[v=u to v=10] 9cos(9(v-u)/2) dvdv

To evaluate the integral using the given transformation, we need to find the Jacobian determinant of the transformation and then apply the change of variables.

The transformation is given by:

u = y - x

v = y + x

To find the Jacobian determinant, we calculate the partial derivatives of u and v with respect to x and y:

∂u/∂x = -1

∂u/∂y = 1

∂v/∂x = 1

∂v/∂y = 1

The Jacobian determinant is the determinant of the matrix of these partial derivatives:

|∂u/∂x ∂u/∂y|

|∂v/∂x ∂v/∂y|

Jacobian determinant = | -1 1 |

| 1 1 |

Taking the determinant:

Jacobian determinant = (-1)(1) - (1)(1) = -2

Now, we can rewrite the integral using the variables u and v:

∫∫R 9cos(9y) dA = ∫∫D 9cos(9(v-u)/2) |J| dudv

where D is the transformed region corresponding to R, and |J| is the absolute value of the Jacobian determinant.

The region D is determined by the transformation of the vertices of R:

(9, 0) -> (0, 9)

(10, 0) -> (1, 10)

(0, 10) -> (-10, 10)

(0, 9) -> (-9, 9)

Therefore, the integral becomes:

∫∫D 9cos(9(v-u)/2) |J| dudv = ∫∫D 9cos(9(v-u)/2) |-2| dudv

= 2∫∫D 9cos(9(v-u)/2) dudv

Now, we evaluate the integral over the transformed region D, which is a trapezoid:

∫∫D 9cos(9(v-u)/2) dudv = 2∫[u=-10 to u=1] ∫[v=u to v=10] 9cos(9(v-u)/2) dvdv

This is the final form of the integral that can be evaluated numerically.

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Certainly! Here's a concise version using different variables:

1. Process: A + B → C + D

  Allowed: Yes

  Interactions: Weak (W^- boson exchange)

  Feynman diagram: W^-

2. Process: E → F + G + H

  Allowed: Yes

  Interactions: Weak (W^- boson exchange)

  Feynman diagram: W^-

3. Process: I → J + K + L

  Allowed: Yes

  Interactions: Weak (W^+ boson exchange)

  Feynman diagram: W^+

4. Process: M + N → M + N

  Allowed: Yes

  Interactions: Strong (gluons)

  Feynman diagram: Gluons

5. Process: O + P → Q + R

  Allowed: Yes

  Interactions: Strong (gluons)

  Feynman diagram: Gluons

6. Process: S + T → U + V

  Allowed: Yes

  Interactions: Weak (W^+ boson exchange)

  Feynman diagram: W^+

7. Process: W → X + Y + Z

  Allowed: No

  Explanation: Violates lepton number conservation

8. Process: AA + BB → CC + DD

  Allowed: Yes

  Interactions: Strong (gluons)

  Feynman diagram: Gluons

9. Process: EE → FF + GG + HH + II + JJ

  Allowed: Yes

  Interactions: Weak (W^+ boson exchange)

  Feynman diagram: W^+

10. Process: KK + LL → MM + NN

   Allowed: Yes

   Interactions: Electromagnetic (photon exchange)

   Feynman diagram: Photon

Please note that this summary provides a simplified representation of the processes and their corresponding interactions within the Standard Model.

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Answer:

3:1

Step-by-step explanation:

If you divide all the coordinates in the first set by 3, you will get the second set's coordinates. Therefore, the ration to "the first set" to "the second set" is 3:1

Answer:

umm wait let me try give me time

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

Answer:

0.11659...cm3

Step-by-step explanation:

To find volume you would have to plug it in the formula Volume= Mass / density so if we plug it in it will be, X(volume): 26(mass)/223(density) you will get 0.11659...cm3

The perimeter of EFG is 38 units.

The perimeter of the figure is the sum of the whole sides . Therefore,

EP = FP

GQ = FQ

Therefore,

2x = 4y + 2

3x - 1 = 4y + 4

Hence,

2x - 4y = 2

3x - 4y = 5

subtract the equations

x = 3

Therefore,

2(3) - 4y = 2

6 - 4y = 2

-4y = 2 - 6

-4y = -4

divide both sides by -4

y = 1

Hence,

FP = 2(3) = 6 units

FQ = 3(3) - 1 = 8 units

EG = 2(3 + 2(1)) = 2(5)  = 10

Therefore,

perimeter of EFG = 2(6) + 2(8) + 10

perimeter of EFG = 12 + 16 + 10

perimeter of EFG = 28 + 10

perimeter of EFG = 38 units

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Answer:

21.15 $

Step-by-step explanation:

Answer:

$21.15

Step-by-step explanation:

$2.35 x 9= $21.15

Hope this helps

it will take approximately 21 weeks for the blood bank to reach at least 1350 pints of blood, considering their current rate of increasing the supply.

To determine how long it will take for the blood bank to have at least 1350 pints of blood, we can calculate the number of weeks required to reach the desired amount.

Current supply of blood: 72 pints

Target supply of blood: 1350 pints

Increase rate per week: 61 pints

The additional pints of blood needed to reach the target supply is:

Additional pints = Target supply - Current supply

Additional pints = 1350 pints - 72 pints

Additional pints = 1278 pints

To find the number of weeks required, we divide the additional pints needed by the increase rate per week:

Number of weeks = Additional pints / Increase rate per week

Number of weeks = 1278 pints / 61 pints per week

Using division, we find that:

Number of weeks ≈ 20.95

Since we cannot have a fraction of a week, we can round up to the nearest whole number. Therefore, it will take approximately 21 weeks for the blood bank to reach at least 1350 pints of blood, considering their current rate of increasing the supply.

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Answer:

kg•m/s

Step-by-step explanation:

Answer:

12x + 11

Step-by-step explanation:

Combine like terms

Answer:

B. 12x + 11 :)

Step-by-step explanation:

To apply the ratio test to each series, we will calculate the limit of the ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1, the series diverges. If the limit is exactly 1 or the limit does not exist, the test is inconclusive.

a. [infinity]∑ₙ ₌ ₁ n²/3ⁿ

Using the ratio test:

limₙ→∞ |(n+1)²/3^(n+1) * 3ⁿ/n²|

= limₙ→∞ |(n+1)²/3 * 3ⁿ/n² * 3ⁿ|

= limₙ→∞ |(n+1)²/3 * 3ⁿ/n² * 3ⁿ|

= limₙ→∞ (n+1)²/n² * 3

= limₙ→∞ (1 + 1/n)² * 3

= 3

Since the limit is equal to 3, which is greater than 1, the series diverges.

b. [infinity]∑ₙ ₌ ₁ 7/n²

Using the ratio test:

limₙ→∞ |(7/n²) * (n+1)²/7|

= limₙ→∞ (n+1)²/n²

= 1

Since the limit is equal to 1, the ratio test is inconclusive.

c. [infinity]∑ₙ ₌ ₁ (-5)²/n!

Using the ratio test:

limₙ→∞ |((-5)²/n!) * (n+1)!/((-5)²)|

= limₙ→∞ (n+1)!

= ∞

Since the limit is equal to ∞, which is greater than 1, the series diverges.

d. [infinity]∑ₙ ₌ ₁ (2n)!/(n!)²

Using the ratio test:

limₙ→∞ |((2(n+1))!/(n+1)!²) * (n!)²/(2n)!|

= limₙ→∞ (2(n+1))!/(n+1)!² * (2n)!/(n!)²

= limₙ→∞ (2n+2)(2n+1)/(n+1)²

= 4

Since the limit is equal to 4, which is greater than 1, the series diverges.

In conclusion:

a. The series diverges.

b. The ratio test is inconclusive.

c. The series diverges.

d. The series diverges.

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Answer:

you have flvs? am if u do is it geometry?

As per the given standard deviation, the  the households spent more than what amount $9.32

Standard deviation is referred as a measure of how dispersed the data is in relation to the mean.

Here we have given that during the past six months, 73.2% of us households purchased sugar. assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10.

And we need to find the households spent more than what amount.

Let us consider X be the amount spent to purchase sugar.

And it is given that this expenditure is normally distributed.

Then the equation is written as,

=> X ~ N(μ = $8.22,  σ =$1.10)

Here we know that 80 percent of the households spent less than what amount is be found. That is, find the x such that P(z ＜x) = 0.8

Then by using z-score formula.

=> z = x-μ/σ

Here for probability 0.80 the z-score from the standard normal distribution table is 0.97725.

=> 0.97725 = x-8.22/1.1

=>  x = 0.97725(1.1) + 8.22

=> x = 9.29

Therefore, 80% of the households spent less than $9.32

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Answer:

Purple

Step-by-step explanation:

Answer:

3/3

Step-by-step explanation:

x2 minus x1 over y2 minus y1

Answer: The answer is -1!

a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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The Department of Energy was also eager to sign on, in part because it wanted to learn about how radiation causes genetic mutations.

An modification in the nucleic acid sequence of an organism's, virus's, or extrachromosomal DNA is referred to as a mutation. DNA or RNA can be found in the viral genome.

Any alteration to a cell's DNA sequence. Mistakes in cell division can result in mutations, as can exposure to environmental DNA-damaging substances.

Ionizing radiation may harm genetic material (mutations) in gonads or germ cells, which can result in disorders with a genetic component (hereditary defects). Malformations, metabolic issues, immune system deficits, etc. might occur from them.

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Answer:

1000 possiably?

To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

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Answer:

-------------------------

The Remainder Theorem states that:

Identify the value of c in the divisor x - 8. In this case, c = 8.

Plug the value of c into the function f(x).

Calculate the remainder.

So, the remainder is 100.

The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

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No, to construct a confidence interval, the population should be is approximately normal.

The information about distribution of population is important in order to find out the sampling distribution. When we want to construct confidence interval, the accuracy of results depend on three conditions.

1. The data needs to be randomly selected.

2. The sampling distribution needs to be normally distributed

3. The observations must be independent.

So one of the conditions is to ensure that the population is normally distributed.

We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10

np ≥ 10

n(1 - p) ≥ 10

When the population follows normal distribution then a small number of samples will be adequate, on the other hand, if the population is skewed then we need a greater sample size to ensure normal sampling distribution.  

Therefore, the population is approximately normal before constructing a confidence interval.

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The maximum abundance of species 1 if 250 of species 2 coexists with it is B. 500.

Determine the carrying capacity ratio between species 1 and 2.
Carrying capacity of species 1 = 1000
Carrying capacity of species 2 = 500
Ratio = 1000 / 500 = 2

Calculate the abundance of species 1 considering the presence of species 2.
Abundance of species 2 = 250
Abundance of species 1 = 2 * 250 = 500

So, the maximum abundance of species 1 if 250 of species 2 coexists with it is 500 (Option B).

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