the dog days clothing company receives 630 cases of imported zippers every 18 days. the number of cases of zippers on inventory t days after the shipment arrives is n(t)

The value of |-32| is 32.

|−32| is the absolute value or modulus of −32 . Absolute value or modulus of a real number is always positive i.e. without its sign (i.e. negative or positive) and in value is equal to just physical value of the number under consideration. So |−32|=32 .

Modulus

The meaning of MODULUS is the factor by which a logarithm of a number to one base is multiplied to obtain the logarithm of the number to a new base.

A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables.

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Answer:

A.

Step-by-step explanation:

x^2+11x+28

first get the product and sum by using

a=1

b=11

c=28

and then

p=a multiplied by c

b=11

p=28

s=11

find any number that can be multiplied by

7&4 are the numbers

(x^2+7x)+(4x+28)

x(x+7)+4(x+4)

(x+7)(x+4)

The temperature on the second day is 11°.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Temperature is a unit used to express hotness or coldness on any of a number of scales, including Fahrenheit and Celsius. The direction that heat energy will spontaneously flow depending on temperature.

Let the temperature on the second day be x.

Based on the information, temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up.

-4 + x = 7

Collect the like terms

x = 7 + 4..

x = 11

The temperature is 11°

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The temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up 7°. What is the Temperature on tue second day?

Since type I error is to reject the null hypothesis when null is true that's why the Correct option is C.

The researchers believe that more than or less than 65% of college students will graduate with debt, when in fact, 65% will.

The null hypothesis is true if the experimental result matches the predicted theoretical result. The null hypothesis is disproved and we examine an alternative one if there are any variations in the observed parameters between the samples. The null hypothesis was rejected, which opens the door for additional study but does not imply that the first experimentation was flawed. Usually, the null hypothesis is used to gauge the strength of the evidence.

Hence we get the required answer and the correct option is c.

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The margin of error with a confidence interval of 0.17 to 0.97 is 0.4.

An indicator of the extent of random sampling error in survey results is the margin of error. In other words, the percentage point difference between the results and the actual population value is indicated by the margin of error. The confidence interval form is given by Confidence Interval = [lower confidence interval limit, upper confidence interval limit]. The confidence interval's total width divided by two is the margin of error.

Here, 95% confidence interval = [0.17, 0.97]. Then, the margin of error is,

[tex]\begin{aligned}\text{Margin of error (E)}&=\frac{\text{(upper confidence interval limit-lower confidence interval limit)}}{2}\\&=\frac{0.97-0.17}{2}\\&=\frac{0.8}{2}\\&=0.4\end{aligned}[/tex]

The answer is 0.4.

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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

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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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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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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Answer:

2,144

Step-by-step explanation:

[tex]\frac{15000 - 1600}{6.25}[/tex]  The number of visitors during the time period divided by the total hours.  

2,144

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.

Using direct variation, the value of j when f equals 9 is 3

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

In the question given, we have f varying directly with j

f ∝ j

f = k j

k = f / j

f₁ / j₁ = f₂ / j₂

Substituting the values into the equation;

27 / 9 = 9 / j₂

j₂ = 9 * 9 / 27

j₂ = 81 / 27

j₂ = 3

The value of j₂ = 3

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Translation: We have that f varies directly with j, if f = 27 when j = 9. Calculate the value of j when f = 9

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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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 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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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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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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Mrs Kim will pay 103 dollars for her son's party.

What is a substitution method?

The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

Given, the total price for the party with c children = 8.5c + 35 dollars

For 8 children, c = 8 then,

Total price = 8.5*8 + 35 = 103 dollars

Hence, Mrs Kim will pay 103 dollars for her son's party.

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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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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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Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

-----------------------------------

Slope-intercept form of a line:

The line has points:

The first point represents the y-intercept, b = 2.

The slope is:

The line is:

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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Answer:

f(2) = -4

Step-by-step explanation:

f(x) = x²-4x

f(2) = (2)²-4(2)  ==> plugin 2 for x

f(2) = 4 - 4 * 2  ==> simplify

f(2) = 4 - 8

f(2) = -4

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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The value of cosθ₁ is -40/41 when angle θ₁ is located in quadrant II and sinθ₁=9/41.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that angle θ₁ is located in quadrant II and sinθ₁=9/41.

We need to find the value of cosθ₁.

We know that sinθ is opposite side/hypotenuse .

opposite side=9 and hypotenuse is 41.

By pythagoras theorem we find the adjacent side.

41²=9²+x²

41²-9²=x²

1681-81=x²

Taking square root on both sides

x=40

So adjacent side is 40.

cosθ₁=Adj/hyp

=40/41

Since it is in second quadrant the value of cosθ₁ will be -40/41.

Hence, angle θ₁ is located in quadrant II and sinθ₁=9/41 then value of cosθ₁ is -40/41.

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Answer:

telecomunication of te following