what are the first 5 terms of
n+ 3​

It's C, multiply the volume of the cone by 3.

Answer:

C

Step-by-step explanation:

Answer:

The answer is "\((\frac{\pi}{2})\)".

Step-by-step explanation:

\(z = 2 - x^2 - y^2.........(1) \\\\z = 1.............(2)\)  

Let add equation 1 and 2:

Using formula: \(x^2+y^2=1 \\\\\)

convert to polar coordinates

\(r=2\)

\(\theta \varepsilon (0=\pi)=z\\\\V=\int^{2\pi}_{\theta=0}\int^{1}_{\pi=0}\int^{z_{2}}_{z_1} r \ dr \d \theta\\\\\)

    \(=\int^{2\pi}_{0}\int^{1}_{0} (Z_2-z_1)r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} 1- (-1-x^2-y^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (+1 \pm r^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (-r^3 + r) \ dr \d \theta\\\\=\int^{2\pi}_{0} (-\frac{r^4}{4}+\frac{r^2}{1})^{1}_{0} \d \theta\\\\=\int^{2\pi}_{0} (\frac{1}{4}) \d \theta\\\\=(\frac{2 \pi}{4}) \\\\=(\frac{\pi}{2}) \\\\\)

There are 969 methods for the quality control inspector to randomly check 5 smartphones, of which 2 are defective, from the shipment of 21 smartphones.

We can solve this problem using combinations formula, that is a way of counting the number of ways to select k objects from a fixed of n items without regard to order. The range of combinations of k items from a fixed of n objects is given via:

\(C(n, k) = n! / (k! * (n-k)!)\)

in which:

In this situation, we want to pick out 2 defective smartphones out of 2 defective smartphones and 19 non-defective smartphones, and we need to pick out out three non-defective smartphones out of the ultimate 19 non-defective smartphones.

Consequently, the number of approaches to choose 2 defective smartphones and 3 non-Defective smartphones from the set of 21 smartphones is:

\(C(2, 2) * C(19, 3) = 1 * (19! / (3! * 16!)) = 191817 / (321) = 969\)

Therefore, there are 969 methods for quality control.

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Answer:

a

Step-by-step explanation:

Ans: 55°

Let's draw two parallel line intersecting angle x° and 45° as shown in the photo.

i) a=25° [Being Alternative Angle]

ii) d=15° [Being Alternative Angle]

iii) c= 45°-d[45°=c+d]

=45°-15°

=30°

iv)b=c[Being Alternative Angle]

v)x=a+b[Combining Angle a & b]

=25°+30°

=55°

The sample that will produce the largest value for a t statistic is the one with the largest mean difference (MD) and the smallest sum of squares (SS). In this case, the sample with MD=10 and SS=20 would yield the largest t statistic value.

The magnitude of the t statistic in hypothesis testing is influenced by several factors, including the sample size, the mean difference between groups (MD), and the sum of squares (SS) within each group. However, other factors such as the variability of scores and the alpha level also play a role.

When comparing different samples with the same sample size of n=10, the sample that produces the largest t statistic will have a combination of a larger MD and a smaller SS. The MD reflects the difference in means between two groups or conditions, while the SS represents the variability or dispersion of scores within each group.

In this scenario, comparing the given options, the sample with MD=10 and SS=20 would result in the largest t statistic. This means that there is a greater difference between the means of the two groups and a relatively smaller variability within each group. A larger t statistic suggests a more significant difference between the groups, which strengthens the evidence against the null hypothesis.

It's important to note that the t statistic alone does not provide a complete understanding of the practical significance or effect size of the observed difference. Additional measures, such as confidence intervals or effect size calculations, should be considered to gain a more comprehensive interpretation of the findings.

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Step-by-step explanation:

HERE,

redius of a circle (r)=14 meters.

we know that,

\(\boxed{\red{\sf{circle~ circumference=2\times \pi \times r   }}}\) 

According to the question,

circle circumference=

so, the circumference of that circle is 88 meters.

The correct answer will be option D which is the value of D will be \(\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right]\)

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.

The value of D will be calculated by multiplying the matrix if we get a unit matrix that will be the answer.

\(=\left[\begin{array}{cc}-9&-11&\\5&-6\\\end{array}\right]\times \left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right] \\\\\\=\left[\begin{array}{cc}(-54+55)&(99-99)&\\-(-30+30)&(55-54)\\\end{array}\right]\\\\\\=\left[\begin{array}{cc}1&0&\\0&1\\\end{array}\right]\)

Therefore the correct answer will be option D which is the value of D will be \(\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right]\)

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The number of yards of fence it will take to enclose the square garden is 48 feet.

It is given in the question that a square garden has an area of 144 square feet.

We have to find the number of yards of fence it will take to enclose the garden.

Let the length of side of the square garden be x feet.

We know that,

Area of a square = \(side^2\)

Hence,

According to the data given in the question, we can write,

144 = \(side^{2}\)

We know that,

144 = \(12^2\)

Hence,

\(12^2=side^2\)

Hence,

Side = 12 feet

We know that,

Number of yards of fence it will take to enclose the  square garden = perimeter of the square garden.

Hence,

Number of yards of fence it will take to enclose the square garden = 4* side of the square garden = 4*12 = 48 feet.

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Answer: table C or 3

Step-by-step explanation:

If you graph it on paper then it creates a straight line, where the others do not.

Answer:

60.2 is the average

Step-by-step explanation:

add all numbers together to get: 301

divide 301 by 5 because there are 5 numbers total to get: 60.2

The statement "a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints." is True because a line segment is defined as a part of a line that is bounded by two distinct end points and contains all the points on the line between those endpoints.

A line segment is a part of a line that has two endpoints and connects them. It is the shortest distance between two points and has a definite length, but no width or height. A line segment can be part of a straight line or a curved line.

A line segment is a section of a line that is defined by two distinct end points and includes every point on the line between them. It is the basic building block of geometry and can be used to measure distances, angles, and shapes.

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Answer:

Some common synonyms of reflect are cogitate, deliberate, reason, speculate, and think.

Step-by-step explanation:

Answer:

a mirror image

a transformation

Step-by-step explanation:

Bayes' rule involves three main elements:

Prior Probability: The prior probability represents our initial belief or knowledge about the probability of an event or hypothesis before considering any new evidence. It is typically denoted as P(H), where H represents the hypothesis or event. The prior probability is based on previous experience, background information, or subjective assessments.

Likelihood of the Evidence: The likelihood is the probability of observing the given evidence (E) assuming that the hypothesis (H) is true. It is denoted as P(E|H), where P(E|H) represents the probability of the evidence E given the hypothesis H. The likelihood quantifies how well the hypothesis explains the observed data or evidence.

Posterior Probability: The posterior probability represents the updated probability of the hypothesis or event given the observed evidence. It is denoted as P(H|E), where P(H|E) represents the probability of the hypothesis H given the evidence E. The posterior probability is the main result of applying Bayes' rule and combines the prior probability with the likelihood of the evidence.

Mathematically, Bayes' rule is expressed as:

P(H|E) = (P(E|H) * P(H)) / P(E)

Here, P(H|E) is the posterior probability, P(E|H) is the likelihood, P(H) is the prior probability, and P(E) is the probability of the evidence.

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Bayes' rule involves three main elements:

Prior Probability:

The prior probability represents our initial belief or knowledge about the probability of an event or hypothesis before considering any new evidence. It is typically denoted as P(H), where H represents the hypothesis or event.

The prior probability is based on previous experience, background information, or subjective assessments.

Likelihood of the Evidence:

The likelihood is the probability of observing the given evidence (E) assuming that the hypothesis (H) is true. It is denoted as P(E|H), where P(E|H) represents the probability of the evidence E given the hypothesis H.

The likelihood quantifies how well the hypothesis explains the observed data or evidence.

Posterior Probability:

The posterior probability represents the updated probability of the hypothesis or event given the observed evidence. It is denoted as P(H|E), where P(H|E) represents the probability of the hypothesis H given the evidence E.

The posterior probability is the main result of applying Bayes' rule and combines the prior probability with the likelihood of the evidence.

Mathematically, Bayes' rule is expressed as:

P(H|E) = (P(E|H) * P(H)) / P(E)

Here, P(H|E) is the posterior probability, P(E|H) is the likelihood, P(H) is the prior probability, and P(E) is the probability of the evidence.

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A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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Answer:

1) B. Combine-like terms

2) A. Subtraction Property of Equality

3)D. Division Property of Equality

Step-by-step explanation:

Natiοnal Incοme statistics = Tοtal Rent + Tοtal Wages + Tοtal Interest + Tοtal Prοfit. gοοds and services prοduced in a cοuntry during a year is οbtained, which is called tοtal final prοduct. This represents Grοss Dοmestic Prοduct ( GDP ).

Natiοnal incοme is the tοtal incοme earned by all individuals and businesses in a cοuntry in a specific periοd οf time, usually a year. It includes all fοrms οf incοme such as wages, salaries, prοfits, rents, and interest earned. Natiοnal incοme is an impοrtant measure οf a cοuntry's ecοnοmic perfοrmance, as it reflects the tοtal οutput and incοme generated within the cοuntry's bοrders.

Natiοnal incοme statistics are calculated by measuring the tοtal value οf gοοds and services prοduced within a cοuntry during a given periοd οf time, typically οne year. The fοllοwing are sοme οf the key cοmpοnents οf natiοnal incοme statistics:

Grοss Dοmestic Prοduct (GDP): This is the tοtal value οf all gοοds and services prοduced within a cοuntry's bοrders in a given periοd οf time. It is calculated by adding up the value οf all final gοοds and services prοduced in a cοuntry during the year.

Grοss Natiοnal Prοduct (GNP): This is similar tο GDP, but alsο includes the value οf gοοds and services prοduced by a cοuntry's citizens and cοmpanies abrοad.

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Answer: 2x^2+2x-24

Step-by-step explanation:

2(x+4)(x−3)

=(2(x+4))(x+−3)

=(2(x+4))(x)+(2(x+4))(−3)

=2x^2+8x−6x−24

=2x^2+2x−24

The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

Answer:

x = \(27.5^{o}\)

Step-by-step explanation:

complementary angles are two or more angles whose sum is equal to \(90^{o}\).

Thus given that;

m<BAM = x + 24

m<CTX = x + 11

So that,

m<BAM + m<CTX = 90

⇒ (x + 24) + (x + 11) = 90

x + 24 + x + 11 = 90

2x + 35 = 90

2x = 90 - 35

2x = 55

x = \(\frac{55}{2}\)

 = 27.5

The value of x is \(27.5^{o}\).

So that,

m<BAM = x + 24

             = 27.5 +24

             = \(51.5^{o}\)

m<CTX = x + 11

            = 27.5 + 11

           = \(38.5^{o}\)

Answer:

x = 25

Step-by-step explanation:

combine like terms ans then solve for x

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Step-by-step explanation:

p³ + 1/p³

or, (p+1/p) (p²-p.1/p+1/p²)

or, (p+1/p) (p²-1+1/p²)

Offering a new product to an established or new market, offering an established product to a new market, or creating a new organization is the entrepreneurial act of new entry.

A new firm, product, or service entering the market is referred to as an entrepreneurial act of new entrance. Finding a market opportunity and creating a special offering that differentiates the company from rivals already in the market are both necessary steps.

A fresh entry can take many different forms, such as the launch of an entirely new good or service that fills a need in the market, the entry into an established market using a unique strategy or business model, or the entry into a new geographic market with an already well-known good or service.

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The value of pH for a sample of grape juice would be 4.4.

Given that,

A grape juice sample has a concentration of hydroxide ions of \(1.4 \times10^{-10} m\)

Now, The hydroxyl ion concentration in grape juice is, \(1.4 \times10^{-10} m\).

Hence, the value of pOH will be;

\(pOH = - log[1.4 \times10^{-10} ]\)

\(pOH = 9.6\)

Now the value of pH will be;

\(pH = 14 - pOH\)

\(pH = 14 - 9.6\)

\(pH = 4.4\)

Rounded to the nearest tenth.

Therefore, the value of pH is 4.4

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The grape juice sample has a hydroxide ion concentration of 1.4 x 10−10 m. After calculating for the hydronium ion concentration, we use the formula pH = -log [H3O+] to determine that the pH of the sample is approximately 4.2.

The subject of your question pertains to chemistry, specifically relating to the concept of pH and its calculation from the hydroxide ion concentration. As the sample of grape juice you mentioned has a hydroxide ion concentration of 1.4 x 10−10 m, we first need to find the concentration of hydronium ions. This can be determined using Kw (the ion product of water) which equals [H3O+][OH-] = 1.0 x 10-14 at 25°C. Given your hydroxide ion concentration, we have [H3O+] = Kw / [OH-], so [H3O+] = (1.0 x 10^-14) / (1.4 x 10^-10) = 7.14 x 10^-5 M.

Now, we can calculate the pH using the formula pH = -log [H3O+]. Substituting the value of [H3O+] into the equation gives pH = -log(7.14 x 10^-5) = 4.15. Rounded to the nearest tenth, this results in a pH value of 4.2 for your grape juice sample.

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Answer:

B. 9

Step-by-step explanation:

Proportions are just like fractions and to figure them out sometimes you can use simplification in different forms.

\(\frac{x}{6}\) = \(\frac{36}{24}\)

Now to get to 6, 24 had to be divided by 4...in proportions and fractions usually, the top and bottom are both simplified or proportioned to the same number or scale

36 ÷ 4 = 9

Check your answer by inserting it there to see if it works

9*4 = 36            6*4 = 24

Answer:

\(\boxed {\boxed {\sf B. \ 9}}\)

Step-by-step explanation:

We are given this proportion:

\(\frac {x}{6}=\frac{36}{24}\)

We want to solve for x, so we must isolate the variable using inverse operations.

It is being divided by 6. The inverse of division is multiplication, so we multiply both sides of the proportion by 6.

\(6*\frac {x}{6}=\frac{36}{24}*6\)

\(x=\frac{36}{24}*6\)

\(x=1.5*6 \\x=9\)

Another way to solve is with cross multiplication. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

\(\frac { x}{6}=\frac{36}{24}\)

\(24*x=6*36\)

\(24x=216\)

The variable is being multiplied by 24. The inverse of multiplication is division, so we divide both sides of the equation by 24.

\(24x/24=216/24\\x=9\)

The value of x that makes this proportion true is 9.

Answer:

28 strokes

Step-by-step explanation:

The computation is shown below:

It is given that the 42 strokes are required to fill up the 3 by 5th

So for completing the line, the number of additional strokes required is

But before the total strokes required is

= 42 × 5 ÷ 3

= 70

This represent the total

so, the additional strokes is

= 70 - 42

= 28 strokes

Standard deviation normal distribution table or calculator to determine the probability of observing a z-score of 1.3 or higher.

The probability is approximately 0.0968, or 9.68%.

To determine the mean number of times the letter appears on a page, we can multiply the probability of the letter appearing (0.066) by the total number of characters on the page (2650):

\(Mean = 0.066 \times 2650 = 174.9\)

To calculate the standard deviation, we can use the formula:

Standard deviation = \(\sqrt(n \times p \times q)\)

n is the sample size (2650), p is the probability of success (0.066), and q is the probability of failure \((1 - p = 0.934)\).

Standard deviation = \(sqrt(2650 \times 0.066 \times 0.934) = 13.2\) (rounded to 1 decimal place)

Determine whether 192 occurrences of the letter on a page is unusual, we can use the z-score formula:

z = (x - mean) / standard deviation

x is the observed number of occurrences (192), mean is the expected number of occurrences (174.9), and standard deviation is the standard deviation we just calculated (13.2).

\(z = (192 - 174.9) / 13.2 = 1.3\)

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