The height of a right triangle is √6 units and the base is √9 units. Find the area of the triangle.

The linear function that relates y to x is  4x - 3y = -6. The solution has been obtained by using equation of a line.

What is equation of a line?

The general equation of a first-degree line in two variables is written as

Ax + By +C = 0,

A, B ≠ 0, where A, B, and C are constants that fall under the category of real numbers.

We always get a straight line when we describe the equation geometrically.

We are given a graph in which various points are plotted.

Let us take two pints as (6,10) and (0,2).

The slope comes out to be

m = (2-10) / (0-6)

m = -8/ -6

m = 4/3

From this we get the y-intercept as

b = 2

We get the equation as

⇒y = 4/3x + 2              (as y = mx + c)

⇒y = (4x + 6)/3

⇒3y = (4x + 6)

⇒4x - 3y = -6

Hence, the function is 4x - 3y = -6.

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Answer:

22

Step-by-step explanation:

Answer:

-4×(-5)=20

have a nice day <3

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

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Answer:

Step-by-step explanation:

The missing number is \(100\) .

Let the missing number is \(x\).
Now the expression becomes,

 \(\frac{0.82}{x} =0.0082\)

\(x=\frac{0.82}{0.0082}\)
\(x=\frac{82}{100}.\frac{10000}{82}\)   ,  By converting Decimal Number Into Rational Number.

\(x=100\)

The value \(x\) is \(100\).

Therefore the missing number will be \(100\) .

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Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

The product is positive since \(a^{(72)}\) is positive (without a question control), the division is negative, and 'a' is negative.

Let's analyze the expression step by step:

\(a^{72}:\) This term talks to a raised to the control of 72.

left(dfrac{-3}{7}right): This term talks to -3/7, a division with a negative respect.

a: This term talks to the variable "a".

To select the sign of the expression, we have to consider the person parts:

\(a^{72}\) can be a positive number since any positive base raised to an without-a-question control comes around in a positive respect.

left(dfrac{-3}{7}right) may be a negative division.

a may be a negative number concurring with the address.

By and by, let's put it all together:

a^{72} cdot left(dfrac{-3}{7}right) cdot a

Since a^{72} is positive, left(dfrac{-3}{7}right) is negative, and "a" is negative, the extraordinary product will be positive:

Positive number\((a^{72})\) × Negative number left(dfrac{-3}{7}right) × Negative number (a) = Positive number.

In this way, the expression will result in positive respect when "a" may be a negative number.

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The length of the shorter leg of the triangle ABC is approximately 24.49 units. Let's denote the right triangle ABC, where C is the right angle.

Let D be the midpoint of AB, and E be the foot of the altitude from C to AB. Then we have:

CD = 1/2 AB (definition of median)

CE = 12 (given altitude to the hypotenuse)

Let x be the length of the shorter leg of the triangle ABC. Then we have:

AE = x (definition of altitude)

EB = AB - x (definition of complementary leg)

By the Pythagorean theorem, we have:

AC^2 = AB^2 + BC^2

(2CD)^2 = AB^2 + x^2

AB^2 = 4CD^2 - x^2

By the similarity of triangles AEC and ABC, we have:

CE/AC = AE/AB

12 / (AB + BC) = x / AB

AB = x / (12/x + 1)

Substituting AB into the previous equation, we get:

4CD^2 - x^2 = x^2 / (12/x + 1)^2

Simplifying and solving for x, we get:

x^4 - 576x^2 - 14400 = 0

This is a quadratic equation in x^2, so we can solve for it using the quadratic formula:

x^2 = [576 ± sqrt(576^2 + 4*14400)] / 2

x^2 = [576 ± 624] / 2

Since x is a length, we take the positive square root:

x^2 = 600

x ≈ 24.49

Therefore, the length of the shorter leg of the triangle ABC is approximately 24.49 units.

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The complete factorization of the polynomial is \(((x-1)(x^2 + 8x + 15)\).\)

To find the remaining factors of the polynomial\(\(x^3 + 7x^2 + 7x - 15\)\) when \(\((x-1)\)\) is one of the factors, we can perform polynomial long division or synthetic division.

Using synthetic division, we divide \(\(x^3 + 7x^2 + 7x - 15\) by \((x-1)\):\)

       1 | 1   7   7   -15

          |    1   8   15

       ----------------

          1   8   15    0

The remainder is 0, indicating that \(\((x-1)\)\) is indeed a factor of the polynomial.

The resulting quotient is \(\(x^2 + 8x + 15\).\) So, the remaining factors are \(\(x^2 + 8x + 15\).\)

Therefore, the complete factorization of the polynomial is \(((x-1)(x^2 + 8x + 15)\).\)

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Answer:

92%

Step-by-step explanation:

The percentage is 46/50 = (46 x 2)/(50 x 2) = 92/100 = 0.92 or 92%

92%

46/50

= (46 x 2)/(50 x 2)

= 92/100

= 92%

The Percentage of his total deliveries has Bob completed is 92%

Answer:

-15

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/3 (6x -9) = -33

Multiply both sides by 3

3×1/3(6x-9)=3×3

6x-9=-99

Add 9 from both sides

6x-9+9=-99+9

6x=-90

Divide both sides by 6

6x/6=-90/6

x=-15

Hope it helps!

The volume of the container is (4x-3)(x+2)(x+1) cubic feet.

Six faces make up the three-dimensional shape of a rectangular prism. The prism's faces are all rectangles. The shape of a rectangular prism is cuboidal.

There are two sets of parallel and congruent bases in this polyhedron. It has eight vertices, 12 sides, and six faces. Rectangular prisms are also known as a right rectangular prism, rectangular parallelepiped, and rectangular hexahedron.

Right rectangular prisms and oblique prisms are the two primary varieties of rectangular prisms. The bases of a right rectangular prism are parallel to the other faces.

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Answer:

Rs 2.25

Step-by-step explanation:

S.P. = 375 * 3.36 = 1260

C.P. = 1125. for 500 mangoes

So for 1 mango,

C.P. = Rs 2.25

Answer:

₹2.25

Step-by-step explanation:

Selling price of 1 mango = ₹3.36

Mangoes in good state = 500 - 125 = 375

Selling price of 375 mangoes = 3.36 *375 = ₹ 1260

Cost price = \(\frac{100}{100+profit}*SP\)

                \(= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125\)

   Cost price of 500 mangoes = ₹ 1125

CP of 1 mango = 1125/500 = ₹2.25

Based on the provided scenario, the statement can be classified as: b. This is a nonsampling error that causes bias.

Nonsampling errors refer to errors that occur in data collection, processing, or analysis that are not related to the sampling method.

The scenario described, where individuals may not provide truthful answers due to fear of their responses being shared with law enforcement officials, introduces a bias in the collected data.

This bias occurs because the reported data does not accurately represent the true prevalence of illicit drug use in the population.

The fear of legal consequences leads to a systematic deviation from the true values, which is a form of bias.

Therefore, option b is the correct classification for this scenario.

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Answer:

Step-by-step explanation:

14.88 + x = 17.05

x = 17.05 - 14.88

x = 2.17

hope it helps

All of the cell Chi-Square values are added to provide the overall Chi-Square test statistic.

A statistical hypothesis test for contingency tables that are employed when the sample sizes are big is the chi-squared test. It is also known as the "χ² test" or chi-square. This evaluates how well a model matches up with actual observed data.

The formula to calculate this test is given by \(\chi^2 =\sum\frac{(O-E)^2}{O}\) where the observed value is denoted by O and the expected value is denoted by E. By summing up the squares of the differences between the observed (O) and expected (E) values by the expected values, one may calculate the overall Chi-Square test statistic. Therefore, the blank can be filled with option d " adding".

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Answer:

the answer is the 4/-2

Step-by-step explanation:

you can understand from the answer

If a scatterplot shows a non-linear relationship between the response and explanatory variable, several options can be considered depending on the purpose of the analysis and the nature of the data.

Here are some possible actions:

Transform the data: One common approach is to transform the data to make the relationship linear. For example, if the relationship appears to be exponential, taking the logarithm of the response variable might make it linear. Similarly, taking the square root, cube root, or inverse of one or both variables might also help.

Use a non-linear model: Another option is to fit a non-linear model that can capture the curvature in the relationship. There are many types of non-linear models, such as quadratic, cubic, exponential, logistic, or spline models. The choice of model depends on the shape of the curve and the underlying theory or hypothesis.

Resample or subset the data: If the non-linear relationship is driven by outliers, influential points, or a subset of the data, it might be helpful to resample or subset the data to remove them. For example, trimming the extreme values, bootstrapping the data, or stratifying the data by a third variable might help.

Explore alternative variables or interactions: If the non-linear relationship is due to an unobserved or omitted variable, it might be useful to explore alternative variables or interactions that could explain the pattern. For example, if the response is sales and the explanatory variable is price, adding a competitor's price or a marketing variable might improve the fit.

Use caution in interpretation: Finally, if the non-linear relationship persists after exploring the above options, it might be necessary to acknowledge the non-linearity and use caution in interpreting the results. Non-linear relationships can be more difficult to interpret and extrapolate, and the statistical inference might be more uncertain or sensitive to assumptions.

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Answer:

UW=41

Step-by-step explanation:

the tangent line and the radius always meet at a right angle(90 degrees)

UWV is a right angle triangle, apply the Pythagorean theorem:

a²+b²=c² (a=40, b=9, c=UW)

40²+9²=c²

c=√40²+9²=√1600+81=√1681

c= 41

Answer:

y= 5 + 0.9x

Step-by-step explanation:

Giving the following information:

NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven.

We need to structure the total cost formula:

y= total cost

x= miles driven

fixed cost= $5

Unitary variable cost= $0.9

y= 5 + 0.9x

Answer:

YES

Step-by-step explanation:

4(3b-4)=2(6b-8)

12b-16=12b-16

YES

Answer:

yes

Step-by-step explanation:

because 4*3=12 and 2*6=12 , and 4*4=16 and 2*8=16

Answer:

That property would be associative

Step-by-.step explanation:

Because no matter how you change the parentheses in that problem, it would be the same.

Answer:

First one

Step-by-step explanation:

The beta coefficient of 1.38 in the estimated CAPM model suggests that stock XYZ is expected to have higher volatility and sensitivity to market movements compared to the average stock.

The financial interpretation of 1.38 in the estimated CAPM model for stock XYZ is the estimated beta coefficient.

In the CAPM, the beta coefficient represents the measure of systematic risk or sensitivity of a stock's returns to the overall market returns. A beta coefficient greater than 1 indicates that the stock is expected to be more volatile than the overall market.

In this case, a beta coefficient of 1.38 implies that stock XYZ is expected to exhibit 38% more volatility or sensitivity to market movements compared to the average stock.

This means that if the market return increases by 1%, stock XYZ's return is expected to increase by 1.38%. Conversely, if the market return decreases by 1%, stock XYZ's return is expected to decrease by 1.38%.

Investors and analysts use the beta coefficient to assess the risk and potential returns associated with a specific stock. A higher beta indicates higher risk and potential for higher returns, but also greater volatility.

It helps investors understand how the stock is likely to perform relative to the market and make informed decisions about portfolio diversification and risk management.

In conclusion, the beta coefficient of 1.38 in the estimated CAPM model suggests that stock XYZ is expected to have higher volatility and sensitivity to market movements compared to the average stock.

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Complete Question:

For the following estimated CAPM (Capital Assets Pricing Modell model for stock XYZ. stock XYZ return = 0. 003 + 1.38 (market return)

what is the financial interpretation of 1.38?

True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.

The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.

The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.

The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.

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The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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The probability that a box of 40 light bulbs will last for 5 years is very low, due to the short mean lifetime of 2 months and the relatively high standard deviation of 0.25 months.

The mean lifetime of a particular type of light bulb is given as 2 months, and the standard deviation is given as 0.25 months. The mean lifetime represents the average time that the light bulbs will last, while the standard deviation represents how much the lifetimes of the bulbs vary from the mean.

To determine the probability that a box of 40 light bulbs will last for 5 years, we need to convert the given information into a format that we can work with. 5 years is equal to 60 months, and since we have 40 light bulbs, we can assume that the lifetimes of the bulbs are independent and identically distributed. This means that the probability of one bulb lasting for 60 months is the same as the probability of any other bulb lasting for 60 months.

Next, we need to calculate the standard deviation of the sample mean. The standard deviation of the sample mean represents how much the means of different samples of size 40 would vary from the population mean. The formula for the standard deviation of the sample mean is given by the following equation:

standard deviation of the sample mean = standard deviation of the population / square root of the sample size

In this case, the standard deviation of the population is given as 0.25 months, and the sample size is 40. Therefore, the standard deviation of the sample mean is:

0.25 / sqrt(40) = 0.0395

Now that we have the mean lifetime and the standard deviation of the sample mean, we can use the normal distribution to determine the probability that a box of 40 light bulbs will last for 5 years. We can assume that the lifetimes of the bulbs follow a normal distribution with a mean of 2 months and a standard deviation of 0.0395 months (which is the standard deviation of the sample mean).

To find the probability that a bulb will last for 60 months, we can use the following equation:

z = (x - μ) / σ

where z is the standard score, x is the value we want to find the probability for (60 months in this case), μ is the mean, and σ is the standard deviation.

Plugging in the values, we get:

z = (60 - 2) / 0.0395 = 1509.49

To find the probability corresponding to this standard score, we can use a standard normal distribution table or a calculator. The probability is extremely small (close to zero), which means that it is highly unlikely that all 40 light bulbs will last for 5 years.

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Answer:

2:5, 3:4, 1:3

simplify the numbers