There are 19 students in a homeroom. How may different ways can they be chosen tobe elected President, Vice President, and Treasurer?

The name of the solid figure on the below object is indicated in front as follows:

Solid figures refers to three-dimensional objects with dimensions of length, width, and height. They have depth and take up space in our universe because they have three dimensions. The features that distinguish each type of solid are used to identify them.

In real life, solid figures include boxes, dice, tubes, traffic cones, balls, and tents. However, Ppisms, cubes, cones, spheres, pyramids, and cylinders are the most basic solid figures. A composite figure is formed by combining multiple solid figures.

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div( curl( grad f )) - scalar field; the divergence of a vector field is a scalar field

A quantity with both direction and magnitude, particularly when used to depict the distance between two points in space.

In a scalar field, each point in a space—possibly actual space—is assigned a single integer.

According to the given information

(a) You can only determine the curl of a vector field; curl f is meaningless.

(b) grad f - vector field; when you take a gradient of something , it results in a vector field

(c) div F - scalar field; take the divergence of a vector field, it results in a scalar field

(d) A vector field is produced by the operation curl(grad f) on a vector field.

(e) grad F - meaningless; gradients are only used for scalar fields

(f) grad( div F ) - vector field; the gradient of a scalar field is a vector field

(g) div( grad f ) - scalar field; if you take divergence of a vector field, the result is a scalar field

(h) Grad (div f) is useless; one cannot take a scalar field's divergence into account.

(i) vector field; a vector field is a vector field's curl (curl F).

(j) div(div F) is useless; it is impossible to calculate a scalar field's divergence.

(k) ( grad f ) x ( div F ) - meaningless; you cant cross a scalar field by a vector field !

(l) The divergence of a vector field is a scalar field, and its formula is div(curl(grad f))

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Answer:

I think the answer is 40.

Step-by-step explanation:

$3 = initial fee; 0.55 = each additional mile

25 - 3 = 22 = (how much money he has left)

22 ÷ 0.55 = 40 = how many miles he can drive

Answer:

Its D

Step-by-step explanation:

Slope intercept form is y=MX +B

if you plug it in, it would be y=1/8x+3 meaning 1/8 is the slope (m) and 3 is the y intercept (b)

Answer:

y = - (1/2) x + 1

Step-by-step explanation:

The given equation of the line is:

2 x - y - 7 = 0

solving for y gives:

2 x - 7 = y

so y = 2 x - 7

where the slope is "2", which is fundamental to know in order to construct a perpendicular line to it by using the "opposite of the reciprocal" of the given slope.

So in our case, the slope of the perpendicular line must be:  "- 1 / 2"  (negative one half).

now we can build the equation of the new line, using this slope and requesting the point (4, -1) to be in it:

y = - (1/2) x + b

-1 = - (1/2) (4) + b

-1 = - 2 + b

solve for b:

b = 2 - 1 = 1

Then the equation of the perpendicular line is:

y = - (1/2) x + 1

y= -1/2 x+1

Step-by-step explanation:

2x-y-7=0

2x-7=y

y=2x-7

Answer:

x7-2x^4-3

Step-by-step explanation:

Multiply each of the first with the each of the 2nd one.

Then u will get your ans.

Hope it helps . MArk me brainliest.

Answer:

A. \(x^7 - x^6 +4x^{3} +2x^{5}-3x^4 +6x-3\)

Step-by-step explanation:

Starting with the equation(s):

\((x^{3}+2x-1)\) and \((x^4-x^3+3)\)

First, combine the two equations together into a multiplication equation, like this:

\((x^{3}+2x-1)*(x^4-x^3+3)\)

Then, use the distributive property to multiply \(x^3+2x-1\) by \(x^4 - x^3 + 3\) and combine like terms.

\(x^7 - x^6 +4x^{3} +2x^{5}-3x^4 +6x-3\)

Your answer is A. \(x^7 - x^6 +4x^{3} +2x^{5}-3x^4 +6x-3\)

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

6 groups of 2, 4 groups of 3, 3 groups of 4, 2 groups of 6, and 1 group of 12 or 12 groups of 1.

Step-by-step explanation:

This question requires you to factor 12. This is because you need to find the numbers that multiply to 12, or its factors. After factoring, you get 1, 2, 3, 4, 6, and 12. When you use these numbers as the amount of groups, you can divide 12 by them to get the size of the groups.

Simplification of the given expression in the form 0.75(a - b) gives;

0.75(1 - 31)

The order of operations in mathematics is as follows: PEMDAS which denotes: parentheses, exponents, multiplication, division, addition, then subtraction.

The expression given is;

0.75( 1/8 - 7 + 7/8 - 13 - 11)

We are to solve it to get 0.75(a - b)

Rearranging 0.75( 1/8 - 7 + 7/8 - 13 - 11) gives;

0.75(1/8 + 7/8 - 7 - 13 - 11)

Adding both fractions and then adding the whole numbers inside the bracket gives;

0.75(1 - 31)

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Answer:

9 white cars

Step-by-step explanation:

because 5×3=15 so then 3×3=9.

Answer:

25

5|10|15|20|25

3|6 | 9 | 12|15 (ratios if you r confused)

The probability that she does not choose a Stephen king novel is 12/17.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

Given,

1) total books no shelf = 17

Novel of Stephen king = 5

The probability of stephen king = 5/17

The probability of not choosing Stephen novel = 1-5/17

= (17-5)/17

=12/17

2) total number of executives = 11

Number of men = 5

Number of women = 6

probability of a man = 5/11

Probability of a woman = 6/11

Given, one woman and 3 men are selected

therefore, using combination.

Total combinations = n! / (r! x (n - r)!)

n = 4

r = 3

Therefore, probability = n! / (r! x (n - r)!)\((5/11)^{1} (6/11)^{3}\)

=4!/3!(1!)(5/11)^{1} (6/11)^{3}

=4(5/11)(216/1331)

=4320/14641

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Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

9514 1404 393

Answer:

Step-by-step explanation:

17c. We cannot see the entire diagram, but based on what we can see, if we assume that segments FG and DH are parallel, then angles D and G correspond. The similarity statement is then ...

  ΔDEH ~ ΔGEF

__

Corresponding angles are congruent, and are listed in the same order in the similarity statement. This means we have ...

  ∠D ≅ ∠G = 89° . . . . answer to 17b

  ∠E ≅ ∠E = 69°

  ∠H ≅ ∠F = 22° . . . . answer to 17a

_____

Additional comment

The second choice listed for part 17c can be rejected simply on the basis that ΔEGH does not exist in the figure. Points G and H are not in the same triangle.

The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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Answer:

Vectors \(p_{1} = 2+5\cdot x + 3\cdot x^{2}\), \(p_{2} = 4+11\cdot x +6\cdot x^{2}\) and \(p_{3} = 1+2\cdot x +x^{2}\) are linearly independent.

Step-by-step explanation:

From Linear Algebra, we must remember that a set of vectors is linearly independent if and only if coefficients of its linear combinations are all zeroes. That is:

\(\Sigma\limits_{i=1}^{n} \alpha_{i}\cdot p_{i}= 0\), where \(\alpha_{i} = 0\). (Eq. 1)

Where:

\(p_{i}\) - i-th Polynomial of the set of vectors, dimensionless.

\(\alpha_{i}\) - i-th coefficient associated with the i-ith polynomial of the set of vectors, dimensionless.

Let \(p_{1} = 2+5\cdot x + 3\cdot x^{2}\), \(p_{2} = 4+11\cdot x +6\cdot x^{2}\) and \(p_{3} = 1+2\cdot x +x^{2}\) elements of the set of vectors, whose linear combination is:

\(\alpha_{1}\cdot p_{1}+\alpha_{2}\cdot p_{2}+\alpha_{3}\cdot p_{3}= 0\)

\(\alpha_{1}\cdot (2+5\cdot x+3\cdot x^{2})+\alpha_{2}\cdot (4+11\cdot x +6\cdot x^{2})+\alpha_{3}\cdot (1+2\cdot x+x^{2}) = 0\)

\((2\cdot \alpha_{1}+4\cdot \alpha_{2}+\alpha_{3})+(5\cdot \alpha_{1}+11\cdot \alpha_{2}+2\cdot \alpha_{3})\cdot x+(3\cdot \alpha_{1}+6\cdot \alpha_{2}+\alpha_{3})\cdot x^{2} = 0\)

Values of coefficient are contained in the following homogeneous system of linear equations:

\(2\cdot \alpha_{1}+4\cdot \alpha_{2}+\alpha_{3} = 0\) (Eq. 2)

\(5\cdot \alpha_{1}+11\cdot \alpha_{2}+2\cdot \alpha_{3} = 0\) (Eq. 3)

\(3\cdot \alpha_{1}+6\cdot \alpha_{2}+\alpha_{3} = 0\) (Eq. 4)

The solution of this system is:

\(\alpha_{1} = 0\), \(\alpha_{2} = 0\), \(\alpha_{3} = 0\)

Which means that given set of vectors are linearly independent.

Let x be a random variable representing the number of female students enrolled in the university. This is a binomial distribution since there are two outcomes only. The student is either a male or a female

From the information given. the probability that the student is a female is

53/100 = 0.53

Thus, p = 0.53

The probability that the student is not a female, q is 1 - p

Thus, q = 1 - 0.53 = 0.47

a) We want to determine the probability of P(x = 20)

Given that n = 32, from the binomial distribution table,

p(x = 20) = 0.08

the probability that 20 of the students sampled are female is 0.08

b) Half of the sample is 32/2 = 16. The probability that less than half of the sample is a female is expressed as

p(x < 16) = 0.3

the probability that less than half of the sample is female is 0.3

The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

Random Assignment

Step-by-step explanation:

Answer:

x = 106 degrees

Step-by-step explanation:

x + 104 + 40 + 110 = 360

x + 254 (No more 254)

- 254 (Again no more 254)

x = 106

Answer:

error in Step 2

Step-by-step explanation:

2(x - 3) + 3x = 19

Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms

Step 2 : 5x - 6 = 19 ← add 6 to both sides

Step 3 : 5x - 6 + 6 = 19 + 6

Step 4 : 5x = 25 ← divide both sides by 5

Step 5 : x = 5

Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3

Answer:

product A

75%

67%

Product B

Step-by-step explanation:

I just found the percentage by dividing the amount of people who found relief into the whole

Hopes this helps please mark brainliest

The function with same rate of change as the function y = (7/4)x + 3 will be option C.

The rate of change for a function is nothing but rate of change of one thing over the second thing.

it can be calculated by  \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

For a equation written in y = mx + c , m is nothing but the slope / rate of change of function.

So for function  y = (7/4)x + 3

m = 7/4 which is the rate of change for this function.

Now let us find rate of change for each function.

For A rate of change will be = (-4 - 0) / (5 - 1)

= -4/3

For B it will be = ( 4 - 1) / (0 - (-1) )

= 3

For C it will be = (15 - 8) / (8 - 4)

= 7/4

For D it will be = (-2 - 0) / ( 0 - (-1) )

= -2

Therefore the rate of change which is same as the given function is of option C.

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Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer:

The area of this triangle is (1/2)(9)(8) = 36.

The critical value that corresponds to a confidence level of 99% for a sample size of 14 is approximately 2.617, rounded to three decimal places.

What is Normal distribution ?

In statistics, a normal distribution, also known as a Gaussian distribution or bell-shaped distribution, is a probability distribution that is symmetric and bell-shaped, with the majority of the data concentrated around the mean and progressively less data towards the tails.

Using a Z-table, the critical value for a confidence level of 99% is approximately 2.617.

Alternatively, you can use a Z-score calculator, which is a tool that allows you to directly input the confidence level and sample size to calculate the critical value. For a sample size of 14 and a confidence level of 99%, the critical value is approximately 2.617.

Therefore, the critical value that corresponds to a confidence level of 99% for a sample size of 14 is approximately 2.617, rounded to three decimal places.

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Answer:

100

Step-by-step explanation:

100

Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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