Find the point-slope equation for
the line that passes through the
points (-2, -20) and (9, 79). Use
the first point in your equation.
y - [?] = [](x-[])

It should be 83.33% if not try : 83.3% and if not that try 83%

Answer:

Option C: 38 is p more than 25

Step-by-step explanation:

the equation 25 + p = 38

can be read as 38 is 25 plus p units, or similarly ;

38 is p units more than 25.

Therefore from the three sentences you are showing, only the last one (option C) is the correct one.

Answer:

The area of the square is 20.25 cm²

Step-by-step explanation:

∵ The perimeter of the square is 18 cm

∵ The perimeter of the square = side × 4

→ That means equate 18 by side × 4

∴ side × 4 = 18

→ Divide both sides

∴ Side = 18/4

∴ Side = 4.5 cm

∴ The side of the square is 4.5 cm

∵ Area of the square = side × side

∵ The side of the square = 4.5 cm

∴ Area of the square = 4.5 × 4.5

∴ Area of the square = 20.25 cm²

∴ The area of the square is 20.25 cm²

Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

The absolute minimum value of given trigonometric-function is 331.9 and absolute maximum value of the same function is 4403.

What is absolute value?

The non-negative value of x or its distance from zero on the number line, regardless of its sign, is the absolute value, modulus, or magnitude denoted by | x | for any real number x. When a function reaches its absolute minimum value, it has reached its lowest conceivable value, and when it reaches its absolute maximum value, it has reached its highest possible value.

Given that the trigonometric function is f(t) = 7t + \(7 cot\frac{t}{2}\)

Also given the point at which the function has critical values= [\(\frac{\pi }{4} , \frac{7\pi }{2}\) ]

Value of function at \(\frac{\pi }{4}\) :

f( \(\frac{\pi }{4}\) ) = 7( \(\frac{\pi }{4}\) ) + 7 cot(\(\frac{\pi }{4}.\frac{1}{2}\))

       =\(\frac{7\pi }{4}\)       + 7 cot (\(\frac{\pi }{8}\))

       =315 + 7 cot 22.5

       =315  + 7(2.414)

       = 315 + 16.898

       =331.898

f( \(\frac{\pi }{4}\) ) ≈ 331.9

Value of function at \(\frac{7\pi }{2}\) :

f( \(\frac{7\pi }{2}\) ) = 7( \(\frac{7\pi }{2}\) ) + 7 cot(\(\frac{7\pi }{2}.\frac{1}{2}\))

        =\(\frac{49\pi }{2}\)      + 7 cot (\(\frac{7\pi }{4}\))

        =4410 + 7 cot 315

        =4410 + 7(-1)

        =4410-7

        =4403

f( \(\frac{7\pi }{2}\) ) =4403

The minimum value=331.9 & maximum value is 4403

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The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

If the executive wants to test whether his clients take less time than average, the test he can use is the one-sample t-test.

The null hypothesis for this test would be that the mean test-taking time for the executive's clients is equal to the population mean of 117 minutes. The alternative hypothesis would be that the mean test-taking time for the executive's clients is less than the population mean.

The test statistic for the one-sample t-test is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

The test statistic follows a t-distribution with n - 1 degrees of freedom. The p-value for the test can then be calculated based on the t-distribution and the chosen significance level.

If the p-value is less than the chosen significance level, the null hypothesis can be rejected, and the executive can conclude that his clients take less time than average. If the p-value is greater than the chosen significance level, the null hypothesis cannot be rejected, and the executive cannot conclude that his clients take less time than average.

It is important to note that the one-sample t-test assumes that the sample is randomly selected and is normally distributed. If these assumptions are not met, a different test may be more appropriate.

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The infinite series ax/a+x can be written in the form of a summation notation as \(Σ ( (−1)^n * (x^(n+1))/(a^(n+1)))\), which can be used to calculate the sum of the series for any value of x and a.

The infinite series representing ax/a+x can be written as:

\(∑n=0∞(−1)nx^n+1a^n+1\)

The first 5 terms of this series can be calculated as follows:

\(Term 1 = (x/(a+x))Term 2 = -(x^2/a^2+2ax+x^2) 4Term 3 = (x^3/a^3+3a^2x+3ax^2+x^3) Term 4 = -(x^4/a^4+4a^3x+6a^2x^2+4ax^3+x^4)Term 5 = (x^5/a^5+5a^4x+10a^3x^2+10a^2x^3+5ax^4+x^5)\)

The general formula for the infinite series can be written as:

\(∑n=0∞(−1)nx^n+1a^n+1 = (x/(a+x)) - (x^2/a^2+2ax+x^2) + (x^3/a^3+3a^2x+3ax^2+x^3) - (x^4/a^4+4a^3x+6a^2x^2+4ax^3+x^4) + (x^5/a^5+5a^4x+10a^3x^2+10a^2x^3+5ax^4+x^5) + ...\)

The summation notation for this series can be written as:

\(∑n=0∞(−1)nx^n+1a^n+1 = Σ ( (−1)^n * (x^(n+1))/(a^(n+1)))\)

This formula can be used to calculate the sum of the infinite series for any value of x and a.

The infinite series ax/a+x can be written in the form of a summation notation as \(Σ ( (−1)^n * (x^(n+1))/(a^(n+1)))\), which can be used to calculate the sum of the series for any value of x and a.

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Answer:

5

Step-by-step explanation:

10+5=15

20-15=5 . that is the solution

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:

The 5th term in the sequence is 19

Step-by-step explanation:

The value of x is 11

What is supplementary angle ?

Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. In the following image, 3 and 4 are supplementary since their sums equal 180 degrees.

Angles ∠1 and ∠7 are alternate exterior angles where a transversal crosses parallel lines, so are congruent.

∠ 1 = ∠ 7

∴2x + 5 = 4x - 17

4x - 2x =17+5

 2x = 22

   x = \(\frac{22}{2}\)

   x = 11

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Answer:

is rational number.......

The sampling method that assumes a sample's average audited value will, for a certain sampling risk and allowance for sampling risk, represent the true audited value of the population is point estimation.

Point estimation is an estimate of the value of a quantity based on an observed sample of that quantity. A point estimator estimates the value of an unknown parameter in a statistical model. In point estimation, a single value (known as a statistic) is used to infer the unknown population parameter value. It is determined by applying a formula to the sample data, resulting in a single numerical value (known as a point estimate). This value is used to estimate the parameter of the population. In the process of auditing, allowances refer to the amounts that a company sets aside for doubtful accounts receivable and sales returns and allowances.

True Audited Value refers to the assessed value of a property that has been audited to determine its correct value. True Audited Value is often utilized by tax authorities in order to assess property tax or for property appraisal.

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The probability of selecting a piece of pottery is 7/26, and when converted to a percentage and rounded to the nearest whole percent, it is approximately 27%.

An archaeologist uncovers 26 artifacts from a site. The types of artifacts are shown below. The horizontal axis represents tools, pottery, and coins. The vertical axis represents the number of artifacts and ranges from 0 to 16, in increments of 2. The number of artifacts of tools is 14. The number of artifacts of pottery is 7. The number of artifacts of coins is 5.

The total number of artifacts at the site = 26

Number of pottery artifacts = 7

Probability of selecting a piece of pottery = Number of pottery artifacts/Total number of artifacts

Probability of selecting a piece of pottery = 7/26

If we want to express this probability in a percentage, we can convert it by multiplying it by 100.

Thus,Probability of selecting a piece of pottery = 7/26 = 0.269 = 26.9% (rounded to the nearest whole percent)

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Answer:

The person is 14 years old

Step-by-step explanation:

1. Multiply 6 times 18 which is 108

2. Add all numbers together in list which is 94

3. Subtract 94 from 108 which is 14

4. To check answer add 94 plus 14 and divide by 6 and you will get the median which is 18, now you know this answer is correct.

Answer:

Step-by-step explanation:

One of the Answers is C

To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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Estimating the cost of a 4,000 sq. ft. cabin requires information about the cost per square foot for items 3-8, as well as the specific cost of items 1 and 2. This can be solved by the concept of Surface and area.

To estimate the cost of a 4,000 sq. ft. cabin, we can assume that the cost per square foot will remain relatively constant for items 3-8, which change in proportion to cabin size. This means that the cost of these items will increase proportionally with the size of the cabin. Therefore, we can estimate the cost of the cabin by multiplying the cost per square foot by the total square footage of the cabin.

To do this, we need to know the cost per square foot for items 3-8. We can estimate this by dividing the total cost of these items by the total square footage of a smaller cabin (e.g. 2,000 sq. ft.). For example, if the total cost of items 3-8 for a 2,000 sq. ft. cabin is $200,000, the cost per square foot would be $100.

Using this cost per square foot, we can estimate the total cost of a 4,000 sq. ft. cabin by multiplying it by the total square footage of the cabin (4,000 sq. ft.). In this example, the estimated total cost of the cabin would be $400,000 for items 3-8.

However, we still need to factor in the cost of items 1 and 2, which do not vary with respect to cabin size. Without knowing the specific cost of these items, it is difficult to estimate the total cost of the cabin. Therefore, we cannot provide a specific estimate without additional information.

Therefore, estimating the cost of a 4,000 sq. ft. cabin requires information about the cost per square foot for items 3-8, as well as the specific cost of items 1 and 2

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For given f(x, y) the extremum: (12, 24) which is the minimum.

For given question,

We have been given a function f(x) = 4x² + 2y² under the constraint 3x+3y= 108

We use the constraint to build the constraint function,

g(x, y) = 3x + 3y

We then take all the partial derivatives which will be needed for the Lagrange multiplier equations:

\(f_x=8x\)

\(f_y=4y\)

\(g_x=3\)

\(g_y=3\)

Setting up the Lagrange multiplier equations:

\(f_x=\lambda g_x\)

⇒ 8x = 3λ                                        .....................(1)

\(f_y=\lambda g_y\)

⇒ 4y = 3λ                                         ......................(2)

constraint: 3x + 3y = 108                .......................(3)

Taking (1) / (2), (assuming λ ≠ 0)

⇒ 8x/4y = 1

⇒ 2x = y

Substitute this value of y in equation (3),

⇒ 3x + 3y = 108

⇒ 3x + 3(2x) = 108

⇒ 3x + 6x = 108

⇒ 9x = 108

⇒ x = 12

⇒ y = 2 × 12

⇒ y = 24

So, the saddle point (critical point) is (12, 24)

Now we find the value of f(12, 24)

⇒ f(12, 24) = 4(12)² + 2(24)²

⇒ f(12, 24) = 576 + 1152

⇒ f(12, 24) = 1728                             ................(1)

Consider point (18,18)

At this point the value of function f(x, y) is,

⇒ f(18, 18) = 4(18)² + 2(18)²

⇒ f(18, 18) = 1296 + 648

⇒ f(18, 18) = 1944                            ..............(2)

From (1) and (2),

1728 < 1944

This means, given extremum (12, 24) is minimum.

Therefore, for given f(x, y) the extremum: (12, 24) which is the minimum.

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\(\\ \rm{:}\rightarrowtail tan50=\dfrac{p}{12}\)

\(\\ \rm{:}\rightarrowtail p=12tan50\)

\(\\ \rm{:}\rightarrowtail p=12(1.19)=14.3\)

Now

Area=

\(\\ \rm{:}\rightarrowtail \dfrac{1}{2}(12)(14.3)=6(14.3)=85.8cm^2\)

Answer:

y = -3x + 8

Step-by-step explanation:

First, find the slope using rise/run

21/-7

= -3

Then, find the y-intercept by using the slope and by plugging in a point

5 = -3(1) + b

5 = -3 + b

8 = b

So, the equation will be:

y = -3x + 8

Hey there! :)

Answer:

y = -3x + 8.

Step-by-step explanation:

Use the slope formula to solve for the slope:

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

Plug in the coordinates:

\(m = \frac{-16-5}{8 - 1}\)

Simplify:

\(m = \frac{-21}{7}\)

m = -3.

Plug in the x and y value, along with the slope into the slope-intercept formula (y = mx + b) to solve for b:

5 = -3(1) + b

5 = -3 + b

b = 8.

Rewrite the equation:

y = -3x + 8.

The production cost of seven devices is R24,150.

To calculate the production cost of seven devices, we need to add up the cost of labor, computing components, and subtract any savings from reusable materials, and then multiply the result by 7.

Production cost of 7 devices = (labor cost + component cost - savings) x 7

Substituting the given values, we get:

Production cost of 7 devices = (R4140 + R1035 - R1725) x 7

= (R3450) x 7

= R24,150

Therefore, the production cost of seven devices is R24,150.

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Answer:

p = 0.09375

Step-by-step explanation:

simplify the fractions within the fractions first to make it easier:

\(\frac{3}{10} = 0.3\)  and \(\frac{4}{5} = 0.8\)  and \(\frac{1}{4} = 0.25\)

set up the equation then cross multiply:

\(\frac{0.3}{p} =\frac{0.8}{0.25}\)

0.3 x 0.25 = p (0.8)

0.075 = 0.8p

divide both sides by 0.8:

p = 0.09375

Answer:

x = 20.5

y = 14.75

Step-by-step explanation:

Two angles are similar so we can use the similarity rates to find the value of x and y

18/36 = 1/2 is the similarity ratio

x/41 = 1/2 cross multiply expressions

2x = 41 divide both sides by 2

x = 20.5

y/29.5 = 1/2 cross multiply

2y = 29.5 divide both sides by 2

y = 14.75

Answer:

see below

Step-by-step explanation:

-6.75  is a rational real number

   since it is not a whole number or a counting number

sqrt(175) = 5 sqrt(7) = irrational real number

     since sqrt(7) is irrational

5 pi = irrational real number

      since pi is irrational

30/3 = 10 = natural , whole, integer, rational, real number

since this is a counting number

- sqrt(9) = -3  integer, rational, real number

since this is negative

Answer:

see attached

Step-by-step explanation:

Answer:how do I add questions

Step-by-step explanation: