What is the solution set of the quadratic inequality x^2-5<0?

Answer:

Before you get into classifying polynomials, let’s define what polynomials are!

Polynomials are a specific type of mathematical expression that has all of the following:

One or more terms

Variables with only positive whole-number exponents

No variables in the denominators of any term

So, let's discuss the questions:

A)1/x+1 is not a polynomial

B)1/√x+1 is not a polynomial

C)1/x²+x+1 is not a polynomial

D) x^3+1 is a polynomial bc it has positive whole number exponent, their no variables in the denominators and its more than 1 terms

Step-by-step explanation:

hope this helps <3

The price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

The cost price of a certain product plus the profit margin earned by the manufacturer equals the wholesale price.

Given:

The wholesale price for a shirt is $5.50,

The markup price  = 90%

Calculate the markup price as shown below,

The markup price  = 90% of $5.50

The markup price  = 90 / 100 × 5.50

The markup price  = $4.95

Calculate the price of the shirt as shown below,

The price of a shirt = The markup price  + The wholesale price of the shirt

The price of a shirt =  $5.50 + $4.95

The price of a shirt =  $10.45

Therefore, the price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

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Average one hour 45 minutes time is taken to read A Chirstmas Carol Novel.

There is total five chapters in this novel. In the ed of of beginning, Scrooge has completely transformed into a charitable, altruistic man. A chirstmas Carol is at a time when the British were investigating and reassessing past Christmas

traditions and place is Washington.

The average reader will spend 1 hour 4 minutes reading this book at 250 WPM (words per minute). A Christmas Carol is set in London during the Victorian era. The events of the story take place on Christmas Eve at Ebenezer's Scrooge home, where various events are shown by three visiting spirits. Charles Dickens wrote A Christmas Carol at a time when he was very critical of his writing and the world around him.

Dickens wrote A Christmas Carol at a time when the British were investigating and reassessing past Christmas traditions, including carols, and more recent practices such as Christmas cards and Christmas trees. He was influenced by his own adolescent experiences and by other writers' Christmas stories, such as Washington in his Irving and Douglas in his Jerold.

The book is divided into his five chapters, which Dickens entitled "Staves".

By the end of the novel, Scrooge has completely transformed into a charitable, altruistic man, rather than a misanthrope. This concept becomes apparent when you say, "I'm light as a feather, happy as an angel, and so baby." Scrooge changed his attitude and behavior.

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The tool that is used to make Chart1 look like Chart2 is data lables .

What are Charts ?

Charts can be defined as graphical way that represents data elements.

the forms of charts are tables and graph .

From the attachment we can see that both the charts are circle graphs .

and the chart2's data label is visible and chart's 1 data label is not visible .

The data label of chart1 needs to be visible for both the chart to look alike .

Therefore , the tool that is used to make both the charts lookalike is data labels .

The given question is incomplete , the complete question is

Which tools would you use to make Chart 1 look like Chart 2 ?

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False Reason:...This is false if (x=5)  (y=3). and denotes the requirement that both be true.

This is true: (z=8) > (x=5) The entire statement is false because it relies on the and condition rather than the OR condition.

What is an example of a Boolean expression?

A Boolean expression(named for mathematician George Boole) is an articulation that assesses to one or the other valid or misleading. Let's take a look at some examples from common speech: Pink is my favorite color. valid • I'm anxious about PC programming. False This book is a laugh-out-loud good read.

Which three Boolean expressions are there?

There are three fundamental Boolean operators: What's more, OR, and NOT.

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Answer:

telecomunication of te following

175/26 large tiles can she stick to the ground.

Two or more expressions with an Equal sign is called as Equation.

Given,

A cement mix calls for 2 cups of water and [tex]1\frac{1}{4}[/tex] pounds of mix to make five large tiles stick to the ground,

2+ [tex]1\frac{1}{4}[/tex]=5

2+5/4

13/4

Which means 13/4 is needed for 5 large tiles.

Yolanda has plenty of water but only [tex]4\frac{3}{8}[/tex] pounds of mix

We need to find how many large tiles can she stick to the ground.

Let x be the number of tiles.

[tex]4\frac{3}{8}[/tex] =35/8

So

(13/4)/5=(35/8)/x

Apply cross multiplication

13/4x=35/8×5

13/4x=175/8

x=175/8×4/13

x=700/104=350/52=175/26

Hence, 175/26 large tiles can she stick to the ground.

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Therefore ,Based on this sample, of 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.

An estimation range for an unknowable parameter is referred to as a confidence interval in frequentist statistics. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals.

Here,

Given: random sample of 100 boxes of each brand

The difference of the means,μhn−μsy had a 90% confidence interval that was calculated as follows: (1.1,2.4).

Therefore,

Based on this sample, we are 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.

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The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

The standard error of a statistic is the standard deviation of the sample distribution, or a close approximation of that standard deviation. A statistic that is the sample mean is referred to as having a "standard error of the mean."

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. In statistics, a sample mean deviates from the actual mean of a population; this deviation is the standard error of the mean.

Consider the following set of D scores,

2, 2, 10, 2

We will calculate ∑D and ∑D² to find the SS for the D scores.

Therefore,

∑D = 2 + 2 + 10 + 2

We can sum or difference of the coefficients,

∑D = 4 + 10 + 2

∑D = 14 + 2

∑D = 16

Then,

∑D² = 2² + 2² + 10² + 2²

∑D² = 4 + 4 + 100 + 4

∑D² = 8 + 100 + 4

∑D² = 100 + 12

∑D² = 112

So,

The formula for the standard score is given as:

SS = ∑[tex]D^{2}[/tex] - (∑D*∑D) / n

SS = 112 - [ (16)² /4 ]

SS = 112 - [ 256 /4 ]

SS = 112 - 64

SS = 48

Then,

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{SS}{n-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{4-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{3} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{16}[/tex]

[tex]S_{D}[/tex] = 4

Therefore,

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

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Farrow co has to accept the offer.

Given that,

In the upcoming time frame, Farrow Co. anticipates selling 150,000 pieces of its product, with the following outcomes.

The calculation of the total combined net income is displayed below:

           Normal Volume         Additional Volume              Total

Sales    $2,250,000                  $180,000                           $2,430,000

                                                   (15,000 × $12)

Costs and expenses:    

Direct materials $300,000           $30,000                         $330,000

Direct labor  $600,000                   $60,000                         $660,000

Overhead     $150,000                    $22,500                          $172,500

                                                  ($150,000 × 15%)

Selling expenses $225,000                                            $225,000

Administrative expenses $385,500 $64,500                          $450,000

Total costs and expenses $1,660,500 $177,000          $1,837,500

Incremental income (loss) from new business $589,500 $3,000 $592,500  

Therefore, the company should accept the offer      

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The equation y = 4 has a greater output at x = 4

The graph and the equation have the same output at x = 6

From the question, we have

From the graph, we can see that

When x = 4, the output is 3

The equation y = 4 implies that, the output is always 4 irrespective of the input value

Hence, the equation has a greater output.

Here, we have the same parameters above

From the graph, we can see that

When y = 4, the input is 6

The equation y = 4 implies that, the output is always 4 irrespective of the input value

Hence, they have the same output at x = 6

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The age of the bones from the skeleton of s fish is 2000 years.

The formula to be used for calculation of age is-

ln (N/No) = - kt, where N/No represents remaining time, k represents constant of proportionality and t refers to the age or time period.

The remaining time = 100 - 22

Remaining time = 78% or 0.78

Keep the values in mentioned formula to find the time.

ln 0.78 = - 0.000124t

Keeping the value of ln 0.78 on Left Hand Side of the equation

- 0.248 = - 0.000124t

Negative sign will be cancelled as it is present on both sides of the equation

t = 0.248/0.000124

Performing division on Right Hand Side of the equation

t = 2000

Hence, the age is around 2000 years.

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Using the law of cosines, the measure of the angles are  

α ≈ 127°

β ≈ 28°

γ ≈ 25°

From the question, we are to solve the triangle.

To solve the triangle, we will determine the value of the unknown angles.

Using the law of cosines, we can write that

cosα  = (b² + c² - a²)/2bc

From the given information,

a = 34

b = 20

c = 18

Thus,

cosα  = (20² + 18² - 34²)/2(20)(18)

cosα = -432/720

cosα = -0.6

α = cos⁻¹(-0.6)

α = 126.8699°

α ≈ 127°

Calculating angle β

cosβ  = (a² + c² - b²)/2ac

cosβ = (34² + 18² - 20²)/2(34)(18)

cosβ = 1080/1224

β = cos⁻¹(1080/1224)

β = 28.0724°

β ≈ 28°

To determine angle γ

α + β + γ = 180° (Sum of angles in a triangle)

127° + 28° + γ = 180°

155 ° + γ = 180°

γ = 180° - 155°

γ ≈ 25°

Hence,

α ≈ 127°

β ≈ 28°

γ ≈ 25°

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It is possible to draw   graph with 5 nodes and 15 edges.

What are nodes and edges?

Nodes are points on graph in where curves, lines or scatters are met.

Edges are curves, lines or arcs presented on the graph connected by one or more nodes.

So as to draw graph using nodes and edges, we have to follow a formula that allow us about how many nodes and edges can be used at a time.

If we have N nodes, then we have N-1 edges available connect directly to other nodes. Therefore, maximum number of edges available in such case for connecting directly or indirectly to the nodes is calculated by the formula below.

Maximum number of edges =N×(N-1), when we have N nodes.

in the question, we are said to draw graph with 5 nodes and 15 edges.

we have maximum number of edges = 5×(5-1) = 20 edges

hence, it is possible to draw graph with 5 nodes and 15 edges.

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Qualifications for members of house of representatives and senate

r ;- Be a resident of the state from which they are elected, be at least 25 years old, and have been citizens for at least 7 years.

s ;- Be a resident of the State from which he or she is elected, at least 30 years old, and a citizen for at least 9 years.

Given,

The House of Representatives is the lower body of the United States Congress, and the United States Senate is its upper chamber. The United States' national bicameral legislature is made up of them all. Washington DC

Then,

Qualification for a member of the house of representatives, r ;-

Be a resident of the state from which they are elected, be at least 25 years old, and have been citizens for at least 7 years.

Qualification for a senator, s ;-

Be a resident of the State from which he or she is elected, at least 30 years old, and a citizen for at least 9 years.

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The differential treatment of individuals or groups without reference to behavior, qualifications, or other legal factors, resulting in a difference in outcome, is known as discrimination. Discrimination can occur based on various factors such as race, gender, age, religion, disability, or nationality.

There are different forms of discrimination, including: 1. Direct discrimination: This occurs when someone is treated less favorably because of a specific characteristic or attribute. For example, if an employer refuses to hire someone solely based on their gender, it would be considered direct discrimination. 2. Indirect discrimination: This happens when a seemingly neutral policy, criterion, or practice puts individuals with a particular characteristic at a disadvantage. For instance, if a job requires a height requirement that disproportionately affects a certain racial group, it would be considered indirect discrimination.

3. Systemic discrimination: This refers to discrimination that is built into the structures, policies, and practices of an organization or society. It may be unintentional but still leads to unequal outcomes. An example is when certain communities consistently receive lower funding for education compared to others, leading to systemic disadvantages for students in those areas.

Discrimination can have negative impacts on individuals and society as a whole, perpetuating inequality and hindering social progress. It is important to promote equality, fairness, and inclusivity to create a just and equitable society.

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To find the base 2 representation of 59, we need to express 59 as a sum of powers of 2.

The powers of 2 are: 1, 2, 4, 8, 16, 32, 64, 128, etc.

The largest power of 2 that is less than or equal to 59 is 32. The next largest power of 2 is 16. The largest power of 2 that is less than or equal to the remaining value (59 - 32 = 27) is 16. The largest power of 2 that is less than or equal to the remaining value (27 - 16 = 11) is 8. The largest power of 2 that is less than or equal to the remaining value (11 - 8 = 3) is 2. The largest power of 2 that is less than or equal to the remaining value (3 - 2 = 1) is 1.

The base 2 representation of 59 is therefore:

32 + 16 + 8 + 2 + 1

which can be written as:

111011

Therefore, the base 2 representation of 59 is 111011.

Answer:

0111011

Step-by-step explanation:

By doing L.C.M of 59 by 2 only

__2__[_59__

__2__{_29__ ----->remainder=1

__2__{__14__ ----->remainder=1

__2__{__7___----->remainder=0

__2__{__3___----->remainder=1

__2__{__1___------>remainder=1

__2__{__0__------->remainder=1

__2__{__0__------->remainder=0

answer: 0111011

The statement which not true about the Pascal’s Triangle is that it is not symmetrical.

Pascal's Triangle presents us how many ways heads and tails can combine. This can then show us the probability of any combination.

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The required simplified value of the x is given as 5.

Given that,
In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
for the triangle sum of the interior angles is equal to 180°.
∠D + ∠E + ∠F = 180
2x + 2x - 4 + x + 9 = 180
5x  + 5 = 180
5x = 175
x = 35

Thus, the required simplified value of the x is given as 5.

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The Future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly is $10263.734 ..

The future value of an annuity is the value of a group of regular payments at some point in the future. It assumes a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

P = PMT× ((1+r)ⁿ −1)/r

where:

P---> Future value of an annuity stream

PMT---->Dollar amount of each annuity payment

r -->Interest rate (also known as discount rate)

n--->Number of periods in which payments will be

We have given that

Present value for an Annuity = $200

compounded rate , r = 13%

but compounded quarterly, then, r = 13%/4

= 0.13/4 = 0.325

Number of years , n = 2 + 1/2 = 5/2

then change into quarterly, n = 5/2 × 4 = 10

Future value formula ,

F.V = PMT ( (1+i)ⁿ - 1)/r

=> Future value = 200((1+0.325)^10/0.325)

=> F.V = 10263.734

Hence, the future value of an annuity is $10263.734..

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Explanation:

x = number of gigabytes of data used

y = total price

Company A has the equation y = 100. The x variable is not involved since the cost is $100 no matter what.

Meanwhile, company B has the equation y = 5x+20

The slope of 5 indicates how much per gigabyte is charged. The 20 at the end is the flat fee, aka y intercept.

If we were to graph those equations, then we'd find they intersect at (16,100) as mentioned.

This means x = 16 and y = 100 pair up together.

It further tells us that both companies charge the same ($100) when x = 16 gigabytes of data are used.

This points us to choice B as the final answer.

False. If opposite angles of a quadrilateral are supplementary then the quadrilateral is not a parallelogram.

Two angles are said to be supplementary angles if their sum is equal to 180 degrees.

In a parallelogram the sum of adjacent angles is equal to 180 degrees which means that the adjacent angles are supplementary. Whereas, the opposite angles in a parallelogram are congruent (equal). Hence, the statement is false.

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Equation of the ellipse that has center −3, 5, a major axis of length 8, and endpoint of minor axis 0, 5 is (x+3)²/25+(y-5)²/16=1

An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

Given,

center −3, 5,

Major axis of length 8

Endpoint of minor axis 0, 5.

Standard form of equation for an ellipse with vertical major axis:

(x-h)²/b²+(y-k)²/a²=1, a>b

(h,k)=(x,y) coordinates of center.

(-3, 5) are coordinates of centre

given length of vertical major axis:=8=2a=4

a=4

a²=16

Length of minor axis=b=5

b²=25

Hence,  equation of the ellipse that has center −3, 5, a major axis of length 8, and endpoint of minor axis 0, 5 is (x+3)²/25+(y-5)²/16=1

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Step-by-step explanation:

of the following is the correct arrangement of the following atoms in order of DECREASING first ionization energy?

O>Te>Se>Po

Po>Te>Se>O

O>Se>Te>Po

Po>Se>Te>O

The sigma notation is:

Σ (6 to k=1) k²

Given:

The summation symbol, S, tells us to add up the sequence's components. To the right of the summation sign is a typical component of the sequence that is being summed. An index that appears below the summation sign designates the variable of summation.

Typically, a sum of several terms is represented by the symbol "sigma." Typically, this symbol is accompanied by an index that changes to include all terms that must be taken into account while calculating the sum.

use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36

⇒ 1+4+9+16+25+36

⇒ 1² + 2² + 3² + 4² + 5² + 6²

⇒ Σ (6 to k=1) k²

Hence we get the required answer.

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It should be close to 7m at around 5pm. In fact, this is the time of day when the water rises the fastest, so perhaps 8m

The interval between successive peaks in the sinusoidal signal graph, or period, is only the number of seconds needed for one cycle of the sinusoid.

Depending on the values of angular frequency (), discrete-time sinusoidal sequences may or may not be periodic. A discrete-time sinusoidal signal must have an angular frequency () that is a multiple of 2 to be considered periodic.

It takes roughly 6 hours from low tide to high tide, or 12 hours for the entire tide cycle. Since low tide was at 2 a.m., low tide will be at around 2 p.m. as well. Three hours later, or at around 5 p.m., the water should be at the average level, which should be at (12.4+1.2)/2=6.8 m. Therefore, it should be close to 7m around 5:45. Actually, this is when the water rises the fastest, so it's probably close to 8m. Your 5.5m is obviously too low, regardless of where it is.

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Answer:

Step-by-step explanation:

You want to know various values of p and q when p varies inversely as the square of q, and p=36 when q=25.

A formula describing the variation of one variable with another will generally have a constant of variation, which we choose to represent here by the letter k.

Since p varies inversely as the square of q, the formula can be written as ...

  [tex]p=\dfrac{k}{q^2}[/tex]

Multiplying by q² gives us a way to find the value of k from known values of p and q:

  k = p·q²

  k = 36·25² = 22500 . . . . . . using the given values of p and q

We can also rearrange the formula to give q as a function of p:

  q = √(k/p)

We are interested in q for p=4, and in p for q=10.

  q = √(22500/4) = 75

  p = 22500/10² = 225

Solving system of equations we get price of the guppy is  $4.29 and  platy is $ 2.88.

Let

price of guppie  = x

price of platy = y.

Chris bought 4 guppies and 3 platys for a total of $25.80.

i. e.

4x + 3y = 25.80-----------1

Layla bought 4 guppies and 2 platys for a total of $22.92.

4x + 2y = 22.92-----------------2

equation  1 - 2

then we get

y = 2.88

put y = 2.88 in to equation 1

4x + 3 ( 2.88) = 25.80

then we get

X = 4.29

price of the guppy is  $4.29.

price of the platy is $ 2.88.

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Answer:

$217.81/hr

Step-by-step explanation:

The 5 sculptures contain 530 lbs of ice, which Nr. Freeze sells at $30/lb:

His total income is:  (530 lbs)*($30/lb) = $1590

The sculptures required 73 hours to create.  Mr Freeze's hourly wage is therefore ($1590/73 hr) = $217.81/hr (!)