Select the perfect square trinomial from among the options below!
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Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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Answer:

12500

Step-by-step explanation:

11830 - 10464 = 1366 (difference 1995 to 96)

10464 - 8958 = 1506 (94 to 95)

8958 - 8135 = 823

8135 - 7537 = 598

7537 - 6642 = 895

6642 - 5942 = 700

5942 - 3579 = 2363 (5 years)

so, we have the annual differences over 11 years.

the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.

so, the mean value of growth over these 11 years is 750.

so, based on this we would estimate for 1997

11830 + 750 = 12580 (12500 being the closest answer option).

but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).

we could argue that the last 2 years had a totally different behavior than the years before.

so, just creating a mean value of the last 2 years' changes would be

(1366 + 1506) / 2 = 2872 / 2 = 1436.

now, or prediction would be

11830 + 1436 = 13266, which would be closer to the 13500 answer option.

Answer:

A=3.14(9.4 squared)9.4 squared= 88.363.14(88.36)= 277.4504277.4504 is close to 278 The answer is D.

Hope this helps!

Answer:

Answer is D. 278

Step-by-step explanation:

a p 3 x

The question asks us to find the vector form of the general solution of the linear system Ax = b, where A is a coefficient matrix and b is a vector. Then, using that result, we need to find the vector form of the general solution of Ax = 0.

Given the linear system:
X₁ + x₂ + 2x₃ = 6
X₁ + x₃ = -2
2x₁ + x₂ + 3x₃ = 4

WeWe can represent this system in matrix form as Ax = b, where:
A = [[1, 1, 2], [1, 0, 1], [2, 1, 3]]
X = [x₁, x₂, x₃]
B = [6, -2, 4]

To find the vector form of the general solution of Ax = b, we solve the system using row reduction or any appropriate method. Let’s denote the solution as x_particular.

Next, we find the vector form of the general solution of Ax = 0 by setting b = 0 in the system and solving for x. Let’s denote this solution as x_homogeneous.

The vector form of the general solution of Ax = b is given by:
X = x_particular + c * x_homogeneous

Where c is any scalar.

To provide the specific solutions and vector forms, we would need to solve the system and determine x_particular and x_homogeneous. Since the calculations are involved, I’m unable to provide the exact solutions without performing the necessary calculations.


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We multiply by -3/2 to get rid of y and figure out the system of equations.

A mathematical assertion that has an "equal to" symbol between two expressions with equivalent values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including straight, quadratic, cubic, and others.

So, we have:

9x+3/4y=6 and 2x+1/2y=9

By removing y, we must solve a system of equations.

Therefore, we will first make the y-coefficient equal but with the opposite sign.

In the first equation, the y-coefficient is 3/4

The coefficient of y in equation two is half.

LCM: 3/4 and 1/2 = 3/2
To maintain the same coefficient of y, multiply the second equation by -3/2.

-3/2*2x-3/2*1/2y = -3/2*9

-3x-3/4y = -27/2

9x+3/4y = 6

Combine the two equations and get rid of the y variable.

-3x+9x = -27/2+6

6x = -15/2

x = -5/4

Therefore, we multiply by -3/2 to get rid of y and figure out the system of equations.

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Complete question:

Given the equations 9x+3/4y=6 and 2x+1/2y=9, by what factor the equation to eliminate y and solve the system through linea would you multiply the second equation to eliminate y and solve the system through linear combinations?

Options;

A.) -4/3

B.) -3/4

C.) -3/2

D.) -7/2

The number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.

To calculate the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, we need to determine the length of the circle's circumference at the given latitude.

Given:

Length of the Earth's equator = 25,100 miles

Latitude of Lena, Wisconsin = 45 degrees north

The circumference of a circle at a given latitude on a perfect sphere can be calculated using the formula:

Circumference = (Cos(latitude) * Earth's equator circumference)

First, we need to convert the latitude from degrees to radians:

Latitude in radians = 45 degrees * (π / 180)

Latitude in radians = π/4

Next, we can substitute the latitude in radians into the formula to calculate the circumference:

Circumference = (Cos(π/4) * 25,100 miles)

Using the value of the cosine of π/4 (which is √2 / 2), we have:

Circumference = (√2 / 2) * 25,100 miles

Simplifying:

Circumference ≈ 0.707 * 25,100 miles

Circumference ≈ 17,747.07 miles

Therefore, the number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.

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Answer:

30 if I divided correctly ☺

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf 30 \ houses}}\)

Step-by-step explanation:

Each house uses 1/4 acres and there is a total of 7 1/2 acres. Therefore, we can divide the total land by the land used for one house.

\(7 \frac{1}{2} \div \frac{1}{4}\)

First, convert the mixed number to an improper fraction.

An easy way to do this is by multiplying the denominator or bottom number of the fraction (2) by the whole number (7). Then, add the numerator (1).

This becomes the numerator of the improper fraction and the denominator stays the same. The fraction is 15/2

\(\frac{15}{2} \div \frac{1}{4}\)

Now, divide the fractions. Multiply by the reciprocal of the second fraction and follow Keep Change Flip.

Keep the first fraction. Change the division sign to a multiplication symbol.

\(\frac{15}{2} \times \frac{1}{4}\)

Flip the second fraction. Switch the numerator and denominator.

\(\frac{15}{2} \times \frac{4}{1}\)

Multiply across.

\(\frac{(15*4)}{(2*1)}\)

\(\frac{60}{2} =30\)

30 houses can be built.

Answer:

72 pink roses

Step-by-step explanation:

the 7 part of the ratio applies to the 84 red roses , then

84 ÷ 7 = 12 ← value of 1 part of the ratio , so

6 parts = 6 × 12 = 72

that is there are 72 pink roses

The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

The probability of drawing a white marble if we draw marbles out 25 times with replacement is 1/5.

We know that there are 5 marbles in the bag which are:

White, yellow, pink, blue, and red.

We also know that there is an equal probability of getting a marble.

Probability formula: P(E) = Favourable events/Total events

So, the probability of drawing white marble:

P(E) = Favourable events/Total events

P(E) = 5/25

P(E) = 1/5

Therefore, the probability of drawing a white marble if we draw marbles out 25 times with replacement is 1/5.

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\(m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)\)

be alert m represents the MIDPOINT.

THE MIDPOINT IS (0,4)

Answer:

-1/7

Step-by-step explanation:

a. No, w is not in fv1; v2; v3g. There are three vectors in fv1; v2; v3g.

b. There are three vectors in the span of fv1; v2; v3g.

c. No, w is not in the subspace spanned by fv1; v2; v3g. This is because the subspace is the set of all linear combinations of the vectors in the span, and w does not have to be a linear combination of the vectors in the span.

To prove this, we first need to recall the definition of the span: it is the set of all linear combinations of a set of vectors. A linear combination is a sum of the vectors, multiplied by constants. For example, if we have a vector v1, and two constants a and b, then the linear combination of a*v1 and b*v1 is (a + b)*v1. If a vector w is not a linear combination of v1, then w is not in the span of v1.

The same logic applies to the vectors fv1; v2; v3g. If w is not a linear combination of these three vectors, then w is not in the subspace spanned by these three vectors. We can prove this by showing that w cannot be a linear combination of fv1; v2; v3g. This is because the only way to create a linear combination of these vectors is to multiply them by constants, and since w is not one of the vectors, it cannot be multiplied by a constant. Therefore, w is not in the subspace spanned by fv1; v2; v3g.

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Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

Answer:

In the general scenario, the duration of capital expenditures spans one year, sometimes spannering two or three fiscal years. Companies utilise various approaches to measure their capital expenditures than their normal budgeting processes.

Step-by-step explanation:

The answer is above

Hope this helps.

Answer: One Year

Step-by-step explanation:   A budget is a list of probable EXPENSES and expected INCOME during a given period, most often one year.

The type of relationship between the sets M and N is intersection.

A set is a collection of well ordered items.

Given that there is in M prime number 2,3,5,7 and in N odd number 1,3,5,7,9 what is type of relation between set m and n?

So, the type of relationship between the sets M and N is intersection.

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Answer:30

Step-by-step explanation:

In a triangle, the midsegment is half of base (AC)

so, AC would be double of DE, meaning 15×2=30

Answer:

it's 9/25

Step-by-step explanation:

This is a short answer, just taking up space

The number of days during the next year when she did not receive a phone call from any of her grandchildren was 304. Mrs. Sanders received a call from each of her three grandchildren on December 31, 2016.

Mrs. Sanders received a call from each of her three grandchildren on December 31, 2016. Let's suppose the number of days that pass between the calls made by the first, second, and third grandchildren are a, b, and c days, respectively. The first grandchild calls her every three days, so the next time the grandchild would call would be on January 3, 2017 (3 days after December 31, 2016). Similarly, the second grandchild calls her every four days, so the next time the grandchild would call would be on January 4, 2017 (4 days after December 31, 2016). Lastly, the third grandchild calls her every five days, so the next time the grandchild would call would be on January 5, 2017 (5 days after December 31, 2016). Therefore, the first call in 2017 would be on January 3, 2017, and the next call would be made after (LCM of 3, 4, and 5) - 1 days.

Here, the LCM of 3, 4, and 5 is 60, and so the first time she does not receive a call would be on the 61st day (February 28, 2017) because February has only 28 days (29 days in leap year).In the year 2017, Mrs. Sanders would receive calls on 6th, 8th, 9th, 11th, 12th, 14th, 16th, 17th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of January;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 17th, 19th, 21st, 22nd, 24th, 26th, 27th of February;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of March;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of April;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of May;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of June;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of July;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of August;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of September;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of October;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of November;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of December.

Therefore, the number of days during the next year when she did not receive a phone call from any of her grandchildren was 304. (i.e., 365-61).

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.............................. us to be a good day at work and I don't know what to do it again and again and again and again and again and again and again and again

Answer:

Step-by-step explanation:

MO = MN + NO

      = 16 + 2

     = 18

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation: yeah

Answer:

Probably 1

Step-by-step explanation:

I'm not sure, but I would think that if we wanted to round it to 5,000, we would want the number to be as close to 5,000 as possible.

Answer:

1 or 2

Step-by-step explanation:

5160.5 is less than 5,500 therefore it rounds down to 5,000.

5260.5 is less than 5,500 therefore it rounds down to 5,000.

Answer

Slope of the line is 2/3

Step-by-step explanation:

Given the slope-intercept equation

2x - 3y = 5

The standard form of the slope-intercept equation is

y = mx + b

where m = slope of the line

b = intercept of the y-axis

Rearrange the above equation

2x - 3y = 5

-3y = 5 - 2x

-3y = -2x + 5

Divide through by -3

-3y/-3 =-2x/-3 + (5/-3)

y = 2x/3 - 5/3

Hence, the slope of the line is 2/3

(a) The differential equation y" + 361 π² y = 0 is a homogeneous equation because all the terms present in it have degree 0 and contain only y and its derivatives. Homogeneous equation means that if y is a solution, then c*y is also a solution, where c is a constant.

(b) To solve the given boundary value problem, we can start by finding the general solution of the differential equation y" + 361 π² y = 0. The characteristic equation is r² + 361 π² = 0. The roots of this equation are

r = ± 19iπ.

Thus, the general solution of the differential equation is y(x) = c1 cos(19πx) + c2 sin(19πx).

Using the boundary conditions, y(0) = 0 and y'(1) = 1, we can find the values of c1 and c2.

y(0) = c1 cos(0) + c2 sin(0) = c1*1 + c2*0 = 0

⇒ c1 = 0

y'(x) = -19π c1 sin(19πx) + 19π c2 cos(19πx)

y'(1) = -19π c1 sin(19π) + 19π c2 cos(19π) = 1 ⇒ 19π c2 = 1

Thus, c2 = 1/19π. Therefore, the solution of the boundary value problem is y(x) = (1/19π) sin(19πx).



In conclusion, we have shown that the given boundary value problem y" + 361 π² y = 0, y(0) = 0, y'(1) = 1 is a homogeneous equation. We have also solved the given boundary value problem and obtained the solution y(x) = (1/19π) sin(19πx) that satisfies the boundary conditions.

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Answer: 20%

Step-by-step explanation:

Answer:

China has 1,072,000,000 more people

Step-by-step explanation:

Answer:

$912

Step-by-step explanation:

First, find the tax.

Multiply the tax rate by the price.

tax rate * price

The tax rate is 14% and the price is $800.

14% * 800

Convert 14% to a decimal. Divide 14 by 100 or move the decimal places 2 spaces to the left.

14/100=0.14

14.0–> 1.4 —> 0.14

0.14 * 800

Multiply

112

The tax is $112.

Now find the total bill.

Add the tax and the price.

tax + price

The tax is $112 and the price is $800.

$112 + $800

Add

$912

The final bill is $912.

Answer:

D

Step-by-step explanation:

The range of the function is all possible y-values of an function or an output.

1. AABBCCDD: The probability of this happening is \(1/16\), since each parent would need to contribute a dominant allele for each gene.

2. AABBCcDD:  This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is  = 1/128.

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

3. The probability of this happening is 1/32.

AaBbCcDd : The probability of this happening is  1/256.

4. aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is  1/128.

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is  1/32.

To solve this problem, we need to use the principles of probability and Punnett squares.

For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.

Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:

A  |  A  |  a  |  a  

---|-----|-----|----

B  |  B  |  b  |  b  

---|-----|-----|----

C  |  C  |  c  |  c  

---|-----|-----|----

D  |  D  |  d  |  d  

Each box in the Punnett square represents a possible combination of alleles from the two parents.

For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.

We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.

AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.

The probability of this happening is \((1/2)^4 = 1/16\) , since each parent would need to contribute a dominant allele for each gene.

AABBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128\)

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is\(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32\)

AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).

The probability of this happening is \((1/2)^8 = 1/256.\)

aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128.\)

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is \(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.\)

Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.

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