4.132 flaxseed and omega-3 exercise 4.30 on page 271 describes a company that advertises that its milled flaxseed contains, on average, at least 3800 mg of alna, the primary omega-3 fatty acid in flaxseed, per tablespoon. in each case below, which of the standard significance levels, 1% or 5% or 10%, makes the most sense for that situation?

The next three terms in the sequence are 1/81, -1/243, and 1/729.

What is the geometric sequence?

A geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number called the common ratio. The general form of a geometric sequence is:

a, ar, ar^2, ar^3, ...

where a is the first term, r is the common ratio

To identify the next three terms in the sequence, we need to first determine the pattern. Looking at the sequence, we can see that each term is obtained by multiplying the previous term by -1/3, which means that this is a geometric sequence with a common ratio of -1/3.

Using this common ratio, we can find the next three terms in the sequence as follows:

-1/3 * (-1/27) = 1/81

1/81 * (-1/3) = -1/243

-1/243 * (-1/3) = 1/729

Therefore, the next three terms in the sequence are 1/81, -1/243, and 1/729.

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Answer:

Step-by-step explanation:

is a 18 and 27 yes to the following question

a) 18 = 2 x 3^2

    27 = 3^3

-> HCF = 3^2 = 9

b) 35 = 5 x 7

    75 = 3 x 5^2

-> HCF = 5

c) 144 = 2^4 x 3^2

   360 = 2^3 x 3^2 x 5

-> HCF = 2^3 x 3^2 = 72.

d) 30 = 2 x 3 x 5

    40 = 2^3 x 5

    45 = 3^2 x 5

-> HCF = 5

e) 144 = 2^4 x 3^2

    384 = 2^7 x 3

    432 = 2^4 x 3^3

-> HCF = 2^4 x 3 = 48.

The triangles ΔKLM and ΔEFG can be proven similar using both SSS and SAS similarity theorems.

In this question, we need to determine whether the triangles can be proven similar using the SSS or SAS similarities theorems.

For given diagrams,

the ratio of the corresponding sides is:

KM/EG = 8/24

            = 1/3

KL/EF = 6/18

          = 1/3

and ML/GF = 5/15

                  = 1/3

The sides of both triangles is proportional .

So by SSS similarity theorem, we have ΔKLM ≈ ΔEFG

Also, ML/GF = 1/3

∠L ≅ ∠F

KL/EF = 1/3

So by SAS similarity theorem, we have ΔKLM ≈ ΔEFG

Therefore, the triangles can be proven similar using both SSS and SAS

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The figure associated to given question is as shown below.

Answer:

12

Step-by-step explanation:

12>0>-12

Answer: The answer is 121.92

Step-by-step explanation:

Answer:

121.92 cm

Step-by-step explanation:

12 inches = 1 foot

(2.54)(12) = 30.48 cm

(30.38)(4) = 121.92 cm

Answer:3500

Step-by-step explanation:

Answer:

3500

Step-by-step explanation:

7*10^5 = 700 000

2*10^2 = 200

700000/200 = 3500

RS is a segment bisector.

R is the vertex of a pair of congruent angles in the diagram.

S is the midpoint of a segment in the diagram.

Options A, C, and E are the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the diagram below we have,

PQ = segment

RS = Bisector of the segment PQ

R = Vertex having two congruent angles.

Thus,

RS is a segment bisector.

R is the vertex of a pair of congruent angles in the diagram.

S is the midpoint of a segment in the diagram.

Options A, C, and E are the correct answer.

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Answer:

55 ÷ 11 +5 × 19 × 2 =195

If you take turns in filling each gap then at one point you can get the answers.

Brainliest pls if it is correct! And hope it helps!

Answer: 39 students

Step-by-step explanation:

First, remove the number of students who traveled by car from the total number so we can see the number of students who traveled by bus:

= 197 - 2

= 195 students by bus.

These 195 students traveled in 5 buses. The number of students on each bus is therefore:

= No. of students traveling by bus / No. of buses

= 195 / 5

= 39 students

The probability that the Texas Sharpshooters score exactly 1 goal next hockey game is 0.5

The following figure accurately depicts the table.

Experimental probability is the likelihood of a future event based on past happenings.

Experimental probability is equal to the ratio of good results to all possible results.

To calculate the likelihood that the Texas Sharpshooters will score precisely

Next hockey game: 1 goal

As displayed in the table:

a successful outcome is repeated four times.

So, positive results equal 4

8 total results

likelihood = 4/8 = 0.5

So, The probability that the Texas Sharpshooters score exactly 1 goal next hockey game is 0.5

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Answer:

0.50 (Choice C)

Step-by-step explanation:

Khan Academy told me.

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

There are 6,561 integers between 1 and 10,000 inclusive that are divisible by at least one of 3, 5, 7, or 11.

We can solve this problem using the inclusion-exclusion principle.

First, we find the number of integers between 1 and 10,000 inclusive that are divisible by each of the four prime numbers 3, 5, 7, and 11.

-The number of integers divisible by 3 is 3333 (since 3, 6, 9, ..., 9999 are divisible by 3).

-The number of integers divisible by 5 is 2000 (since 5, 10, 15, ..., 10000 are divisible by 5).

-The number of integers divisible by 7 is 1428 (since 7, 14, 21, ..., 9999 are divisible by 7).

-The number of integers divisible by 11 is 909 (since 11, 22, 33, ..., 9999 are divisible by 11).

Next, we need to subtract the number of integers that are divisible by each pair of the four prime numbers, because we have counted them twice.

-The number of integers divisible by both 3 and 5 is 666 (since 15, 30, 45, ..., 10005 are divisible by both 3 and 5).

-The number of integers divisible by both 3 and 7 is 476 (since 21, 42, 63, ..., 10017 are divisible by both 3 and 7).

-The number of integers divisible by both 3 and 11 is 303 (since 33, 66, 99, ..., 9999 are divisible by both 3 and 11).

-The number of integers divisible by both 5 and 7 is 285 (since 35, 70, 105, ..., 10010 are divisible by both 5 and 7).

-The number of integers divisible by both 5 and 11 is 181 (since 55, 110, 165, ..., 9995 are divisible by both 5 and 11).

-The number of integers divisible by both 7 and 11 is 136 (since 77, 154, 231, ..., 9944 are divisible by both 7 and 11).

Finally, we need to add back the number of integers that are divisible by all four prime numbers, because we have subtracted them three times and added them back once.

The number of integers divisible by 3, 5, 7, and 11 is 45 (since 3 x 5 x 7 x 11 = 1155, and the multiples of 1155 between 1 and 10000 are divisible by all four prime numbers).

Using the inclusion-exclusion principle, the number of integers between 1 and 10,000 inclusive that are divisible by at least one of 3, 5, 7, or 11 is:

3333 + 2000 + 1428 + 909 - 666 - 476 - 303 - 285 - 181 - 136 + 45 = 6561

Therefore, there are 6,561 integers between 1 and 10,000 inclusive that are divisible by at least one of 3, 5, 7, or 11.

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We need to know about asymptotes and holes to solve this problem. The radical function is \(\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

A vertical asymptote is a vertical line that guides the graph of a function but is not a part of it. If there is a same factor in the numerator and the denominator then it is called a hole. A horizontal asymptote is a horizontal line with which the graph of the function seems to coincide but does not really coincide. In this question we know that vertical asymptotes are at x=-6 and x=-1, so we know that these are the factors of the denominator. A hole lies at x=-9, so this is a common factor for numerator and the denominator. There is an x-intercept at x=0 which means we have a this factor in the numerator.

f(x)=\(\frac{x(x+9)}{(x+9)(x+6)(x+1)}\)=\(\frac{x^{2}+9x }{(x+9)(x^{2} +7x+6)} =\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

Therefore the radical function is \(\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

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Answer:

x= 65

Step-by-step explanation:

3x-15=180

add 15 both sides

3x= 195

divide by 3

x=65

Answer:

26 units

Step-by-step explanation:

(-8, -10) and (18, -10)

Since the y values are the same, we only need to worry about the x values

18 - -8

18+8

26

The distance is 26 units

Answer:

8

Step-by-step explanation:

The interval about the empirical rule is [54,102].

According to the statement

we have given that the value of mean is 78 and standard deviation of 8.

And the interval about the mean that contains 99.7% of the scores.

So, For this purpose, we know that the

The empirical rule is 99.7% Rule states that approximately 99.7% of observations fall within two standard deviations of the mean on a normal distribution.

So, from the statement

The empirical rule says about 99.7% of any normal distribution lies within three standard deviations of the mean. This corresponds to the interval

[(78-3)*8, (78+3)*8]

[54,102].

So, The interval about the empirical rule is [54,102].

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Answer: 1756

Step-by-step explanation:

16+1+6=23

15+5+1=21

1800-23=1777

1777-21=1756

The roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.\

To find the roots of a polynomial, equate these factors of a polynomial to zero.

The given polynomial equation is,

\(x^4+x^2=4x^3-12x+12\)

Take all the terms left side of the equation,

\(x^4+x^2-4x^3+12x-12=0\\x^4-4x^3+x^2+12x-12=0\)

The factor form of the polynomial on solving the above equation, we get,

\((x-2)(x-2)(x-1.73)(x+1.73)=0\)

Equate all the factors to zero, to find the roots. The roots we get are,

\(2,2,1.73,-1.73\)

Hence, the roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

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Answer:

–1.73, 1.73, 2

Step-by-step explanation:

The distance across the lake (DE) is 207.68 m.

The corresponding side lengths of two triangles that are similar are always proportional to each other.

Thus,

ΔCDE  and ΔCFG are similar to each other

FG = 142.1 m

FC = 130 m

DF = 60 m

DC = 130 + 60 = 190 m

Thus, DE/FG = DC/FC

Substituting

DE/142.1 = 190/130

DE = (190*142.1)/130

DE =  207.68 m (nearest hundredth).

Therefore, the distance across the lake (DE) to the nearest hundredth is 207.68 m.

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Complete Question

Check attached image

Step-by-step explanation:

Adding x on both sides, we get

Adding 54 on both sides, we get

Dividing both sides by 5, we get

Hence, the value of x is 10.

Based on the above, the segments that are perpendicular to EF are LM and NP.

Note that when two lines are perpendicular, we can say that;

M1 * M2 = -1 As M1 and M2 are known to be the slopes of the lines.

Therefore, when the the slope of EF is said to be −5/2, then  one can say that the slope of  the segment that is said to be  perpendicular to EF will have to be equal to m1*m2=-1, m2=-1/m1, m2=-1/(-5/2) or m2=2/5.

Scenario one:

JK , if J is at (3, −2) and K is at (5, −7)

To find the slope JK, then

m=(y2-y1)/x2-x1)

m=(-7+2)/(5-3)

m=-5/2

-5/2 is not equal to 2/5

Therefore,  JK is not perpendicular to EF

Scenario 2

Find GH , when G is at (6, 7) and H is at (4, 12)

To find the slope GH

m=(y2-y1)/x2-x1)

m=(12-7)/(4-6)

m=5/-2

m=-5/2

Since -5/2 is not equal to 2/5 then GH is not perpendicular to EF

Scenario 3:

Find LM , If L is at (1, 9) and M is at (6, 11)

To find the slope LM, then

m=(y2-y1)/x2-x1)

m=(11-9)/(6-1)

m=2/5

Since 2/5 is equal to 2/5

Then LM is perpendicular to EF

Scenario 4:

Find NP , if N is at (−3, 4) and P is at (−8, 2)

To find the slope NP, then

m=(y2-y1)/x2-x1)

m=(2-4)/(-8+3)

m=-2/-5

m=2/5

Since 2/5 is equal to 2/5.

Therefore,  NP is perpendicular to EF

Based on the above calculations, the segments that are perpendicular to EF are LM and NP.

See correct format of question written below

The slope of EF is −5/2 .

Which segments are perpendicular to EF?

Select all the right answers please

1. JK , where J is at (3, −2) and K is at (5, −7)

2. GH , where G is at (6, 7) and H is at (4, 12)

3. LM , where L is at (1, 9) and M is at (6, 11)

4. NP , where N is at (−3, 4) and P is at (−8, 2)

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Answer:

B

F

Step-by-step explanation:

this is vector, and its to be moving from point to a point through line , and you have a direction of it's move , so it will be from T to S ( magnitude) and the arrow is the direction <--

A sphere is a two-dimensional surface embedded in three-dimensional space, while a ball is the interior of a sphere (which may or may not include the sphere itself).

A sphere and ball of radius r centered at the origin are respectively described by the equation and inequality,

x² + y² + z² = r²

and

x² + y² + z² < r²

or

x² + y² + z² ≤ r²

The probability that the yield strength of a randomly selected piece of rebar is greater than 58 ksi is approximately 0.2119 or 21.19%.

Given that the yield strength of steel rebar follows a normal distribution, the mean yield strength and the standard deviation can be estimated from the graph below as follows: The mean yield strength is estimated by finding the midpoint of the graph. This corresponds to a yield strength of approximately 54 ksi.

The standard deviation can be estimated by looking at the width of the graph at 1 standard deviation from the mean. This corresponds to a range of approximately 49 ksi to 59 ksi, or a standard deviation of approximately (59-49)/2 = 5 ksi.

To estimate the probability that the yield strength of a randomly selected piece of rebar is greater than 58 ksi, we need to use the standard normal distribution. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

To convert from a normal distribution with a mean of 54 ksi and a standard deviation of 5 ksi to a standard normal distribution, we use the formula z = (x - μ) / σ, where x is the yield strength we are interested in, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that x is greater than 58 ksi, so we have

z = (58 - 54) / 5 = 0.8.

Using a standard normal distribution table, we can find that the probability of z being greater than 0.8 is approximately 0.2119.

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Answer:

y=0.25x^2−2x

Step-by-step explanation:

You have to use the disruptive property.

a. The resultant vector is the vector from the origin to the endpoint of vector 3v. b. a line connecting the origin to the endpoint of vector 2(²). This line represents the resultant vector. c. The resultant vector is the vector from the origin to the endpoint of vector 2(2v + 4u).

a. To draw the resultant vector 2u - 3v, we first draw vector 2u starting from the origin of the coordinate system and then draw vector 3v starting from the endpoint of vector 2u in the opposite direction. The resultant vector is the vector from the origin to the endpoint of vector 3v.

b. To draw the resultant vector (u + v) + 2(²), we first draw vector u starting from the origin of the coordinate system and then draw vector v starting from the endpoint of vector u. Next, we draw vector 2(²) starting from the endpoint of vector v. Finally, we draw a line connecting the origin to the endpoint of vector 2(²). This line represents the resultant vector.

c. To draw the resultant vector 3(2ū+ 2)2(2v + 4u), we first draw vector 2u starting from the origin of the coordinate system and then draw vector 4u starting from the endpoint of vector 2u. Next, we draw vector 2v starting from the endpoint of vector 2u and then draw vector 4v starting from the endpoint of vector 2v. Finally, we draw vector 3(2ū+ 2) starting from the origin of the coordinate system and then draw vector 2(2v + 4u) starting from the endpoint of vector 3(2ū+ 2). The resultant vector is the vector from the origin to the endpoint of vector 2(2v + 4u).

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Answer:

x is less than or equal to 0

Step-by-step explanation:

- you need to multiply both sides of the inequality by 5/2

- then you reduce the numbers with the greatest common factor 5

- then you reduce the numbers with the greatest common factor 2

- any expression multiplied by 0 equals 0

- so you get x is less than or equal to 0

^^^ hope this helps! :)

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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