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Step-by-step explanation:

an expression (polynomial) with the highest exponent = n has n zeros (solutions, where y = 0, although some of them can be imaginary numbers, or some can fall together into 1 solution).

and it has max. n-1 relative extrema ("bumps" in the curve, where the curve changes direction from up to down or vice versa).

so, in our case of

f(x) = 3x⁵ - x³ + 4x - 2

we have max. 5-1 = 4 relative extrema.

Answer:

3

Step-by-step explanation:

Given

f(x) = - 3x + 5

f(x) = - 4

-3x + 5 = - 4

- 3x = - 4 - 5

- 3x = - 9

x = 3

Hope it will help :)

Answer:

x=3

Step-by-step explanation:

i believe it's like this, i am not sure

Y= -3x +5

-4= -3x+5

subtract 5 on both sides

-9= -3x

divide -3 on both sides

x=3

To determine the correct probability, we need additional information about the specific event or condition for which the probability is being calculated.

The given information provides the counts of elements within the circles and their overlaps but does not specify the event or condition of interest.Probabilities are calculated by dividing the favorable outcomes by the total possible outcomes. Without knowing the specific event or condition, we cannot determine the favorable outcomes or the total possible outcomes, and hence cannot calculate the probabilities accurately.Please provide additional context or specify the event for which the probability is required, and I will be glad to assist you further in calculating the correct probability using the given Venn diagram information.

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Answer:

Whitney = 6

Sara = 9

Hannah = 3

Step-by-step explanation:

Let :

Whitney = x

Sara = x + 3

Hannah = x / 2

Hannah's age + Whitney's age = Sarah's age

x / 2 + x = x + 3

1.5x = x + 3

1.5x - x = 3

0.5x = 3

x = 3/0.5

x = 6

Whitney = 6

Sara = x +3 = 6 + 3 = 9

Hannah = x/2 = 6/2 = 3

Answer:

SYMMETRICAL DESIGN: A formal, equilateral triangular design. ROUND DESIGNS: Do not require a focal point. HOOK METHOD: Wiring technique in which the wire is inserted through the flower and a small hook is formed in the wire before it is pulled back into the flower.

Step-by-step explanation:

A triangular arrangement is a formal, equilateral triangular design. Option D

A formal, equilateral triangle pattern is referred to as a triangular arrangement. It entails arranging components or things in a configuration that resembles an equilateral triangle.

In a variety of disciplines, including art, architecture, and landscaping, this arrangement is used. All three sides of the equilateral triangle are identical in length, and all three angles are 60 degrees.

As the equilateral triangle is seen as a stable and aesthetically beautiful shape, the triangular arrangement is frequently employed to establish balance, harmony, and aesthetic appeal in a design.

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Answer:

y = 0

Step-by-step explanation:

The line y = 0 is cutting your triangle in half with perfect symmetry.

The equation that describes the line of symmetry in the figure given is: y = 0.

A line of symmetry can be described as an imaginary line that divides a shape or figure into two equal halves, where each is a mirror image of the other.

The triangle given will be divided into two equal halves by a line of symmetry that runs through the horizontal axis (x-axis).

Equation of the horizontal axis is expressed as y = 0.

Therefore, the equation that describes the line of symmetry in the figure given is: y = 0.

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Explanation:

If we started at y = 0, then the bar for last year's sales would be 800 units tall. This is to represent the $800 in sales last year.

However, we start at $600 on the y axis instead. This means the bar for last year's sales would be 200 units tall (because 800-600 = 200).

The bar for this year's sales is 600 units tall (because 1200-600 = 600)

Divide those two heights

600/200 = 3

The second bar is 3 times taller than the first bar.

But wait, the jump from $800 to $1200 is NOT "times 3". The jump is instead "times 1.5" which we can determine like so: 1200/800 = 1.5

In other words, 1.5*800 = 1200

Therefore, the fact we start at 600 on the y axis causes the 2nd bar to be taller than it should be in relation to the first. It causes a distortion.

Check out the diagram below. Figure 1 has us start at 600, which is deceiving. Be careful when you see such a chart in a newspaper for instance. Figure 2 has us start at 0 and now things are in the correct proportion. I used LibreOffice Calc spreadsheet to make the charts.

The square of given expression √1 ( square root of 1 ) is equal to 1.

As given in the question,

Given expression is equal to √1 ( square root of 1 )

To calculate the square of √1 we have,

Let us consider variable x is equal to √1

x = √1

Now take square on both the sides of the given expression we get,

x² =  (√1 )²

⇒ x² = √1  × √1

Multiplying square root of 1 to square root of 1 is equal to 1 we get,

or use law of exponent :

√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)

            = 1

⇒ x² = 1

Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.

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The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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Answer:

5x+10y=100

Step-by-step explanation:

Step-by-step explanation:

x+3 and 2x-5 are the same lenght, so

x+3=2x-5

x-2x=-5-3

-x=-8

x=8

It all depends on how you want your hamburger. If you're serving it as a main dish, 300 hamburger patties (each around 4 ounces) should be plenty to feed 300 people. If you utilize hamburger meat as a topping or filler in a meal, you'll need a different amount.

Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. The four basic arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic mean is a number calculated by dividing the sum of a set's elements by the number of values in the set.

Here,

It all depends on how you want to eat the hamburger. If you're serving it as a main course, 300 hamburger patties, each weighing around 4 ounces, should plenty to satisfy 300 people. It will need a different quantity of hamburger meat if you use it as a topping or filler in a dish.

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Complete question:

How much hamburger will it take to make 300 three oz patties with a 20% shrinkage?

Answer:

Rent for B = 1896
Rent for C = 3062

Step-by-step explanation:

the B and C apartment's monthly rent combined  is $4958
rent of B is 1166 less than rent C
so the equation is
X+ (X+1166) = 4958
X= rent B
X+1166 = rent C

simplifying the equation
2X + 1166 = 4958
subtracte 1166
2X = 3792  

X= 1896, so the rent for B is 1896
after adding the 1166
the rent for C is 3062

c

because 7+2n

sum is addition

2n is multiplication

The required arcs that are shorter than the semi circle are  DA,DB,DC,AC,AB .

Minor arc: an arc that is less than a semicircle. A minor arc is named by using only the two endpoints of the arc.

Given here: Arcs of a circle.

An arc whose measure is less than 180 degrees is called a minor arc. An arc whose measure is greater than 180 degrees is called a major arc. An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two. And a semicircle subtends and angle of 180 at the center of the circle.

Thus all the arcs that measure less than 180 are shorter than the semi circle

∴DA,DB,DC,AC,AB are the arcs that measure less than 180 at the center of the circle.

Hence, The required arcs are DA,DB,DC,AC,AB .

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Answer: See explanation

Step-by-step explanation:

Number of students in the school band = 180

Sample selected = 20

Fraction of students that selected Cajun pasta. = 11/20

Fraction of students that selected chicken pasta = 4/20

Fraction of students that selected shrimp pasta = 5/20

Cajun pasta to be prepared = 11/20 × 180 = 99

Chicken pasta to be prepared = 4/20 × 180 = 36

Shrimp pasta to be prepared = 5/20 × 180 = 45

Answer: 2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer: The expression that represents the amount of money John has collected is:

5 * m

This expression calculates the amount of money John collects by multiplying the number of members (m) by the amount of money collected per member ($5).

Step-by-step explanation:

Answer:

the answer is c !!! :)

Step-by-step explanation:

yeah, so period.

The cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.

The cash ratio is a financial ratio that measures the ability of a company to pay off its current liabilities using only its cash and cash equivalents.

The formula for the cash ratio is:

Cash Ratio = (Cash and Cash Equivalents) / (Total Current Liabilities)

Using the information given in the question:

Cash and cash equivalents = $60,000

Total current liabilities = $75,000

Plugging these values into the formula:

Cash Ratio = $60,000 / $75,000 = 0.80

Therefore, the cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.

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The value of the missing parts of the given right triangle is given as follows:

A = 46°

a = 13.5

c = 18.7

To determine the missing part of the triangle, the following should be carried out.

The total internal angle of a triangle = 180°

The given angle = 90°+44° + A = 180°

180° = 134°+ A

A = 180-134 = 46°

Using the sine formula;

a/sinA = b/sinB

a =?

A = 46°

b = 13

B = 44°

That is ;

a/sin 46° = 13/sin 44°

a = 0.719339800×13/0.694658370

= 13.5

Using the Pythagorean formula;

c² = a²+b²

c² = ?

a = 13.5

b = 13

c² = 13.5²+13²

= 180.9+169

= 349.9

c = √349.9

= 18.7

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Answer:

x = 4 mm

y = 15 mm

Step-by-step explanation:

x = 12 mm / 3 = 4 mm

y = 3 × 5 mm = 15 mm

The average rate of change for the function on the interval [-3, 1] is approximately -0.333 (rounded to 3 decimals).

To evaluate the average rate of change for the function (t² - 4)(t + 1) / (t² + 3) on the interval [-3, 1], we can use the following formula:

Average Rate of Change = (f(b) - f(a)) / (b - a),

where f(b) represents the value of the function at the upper limit of the interval, f(a) represents the value of the function at the lower limit of the interval, and (b - a) represents the width of the interval.

Let's calculate it step by step:

Substitute t = -3 into the function:

f(-3) = (-3² - 4)(-3 + 1) / (-3² + 3)

= (9 - 4)(-2) / (9 + 3)

= 5(-2) / 12

= -10/12

= -5/6.

Substitute t = 1 into the function:

f(1) = (1² - 4)(1 + 1) / (1² + 3)

= (-3)(2) / (1 + 3)

= -6/4

= -3/2.

Calculate the width of the interval:

(b - a) = (1 - (-3))

= 4.

Calculate the average rate of change:

Average Rate of Change = (f(1) - f(-3)) / (1 - (-3))

= (-3/2 - (-5/6)) / 4

= (-3/2 + 5/6) / 4

= (-9/6 + 5/6) / 4

= -4/6 / 4

= -2/6

= -1/3.

Therefore, the average rate of change for the function on the interval [-3, 1] is approximately -0.333 (rounded to 3 decimals).

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Answer:

the answer is -5

Step-by-step explanation:

The value of g(3) is -5.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given:

g(x)=-x-2

for x=3

g(3) = --2

g(3) =-5

Hence, the value of g(3) = -5

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The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.

The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.

Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:

I = [[1, 0],

    [0, 1]]

In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.

Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

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To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Answer:

3

Step-by-step explanation:

I just answered that one on a quiz

Answer:

....................... What's the question?

The probability that the first two electric toothbrushes sold are defective is 0.016.

The probability of an event, say E occurring is:

\(P(E)=\frac{n(E)}{N}\)

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = the number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is n = 20.

The number of defective electric toothbrushes is x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

\((\left {{20} \atop {2}} \right. )\)\(=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190\)

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

\((\left {{3} \atop {2}} \right. )\)\(=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3\)

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

\(\frac{3}{190}\\ =0.01579\\=0.016\)

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

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