Write as a square of a binomial: 0. 48xy+36y^2+0. 16x^2


Answer:( )^2

Answer:

The height of the candle after 7 hours is 21.3 centimeters.

Step-by-step explanation:

From the information given you can assign the following values:

x1=10; y1=21

x2=28; y2=19.2

First, you have to find the slope using the following formula:

m=\(\frac{y2-y1}{x2-x1}\)

m=\(\frac{19.2-21}{28-10}\)

m=-0.1

Then, you can find the equation using the point/slope formula:

y-y1=m(x-x1)

y-21=-0.1(x-10)

y-21=-0.1x+1

y=-0.1x+22

Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:

y=-0.1(7)+22

y=-0.7+22

y=21.3

According to this, the height of the candle after 7 hours is 21.3 centimeters.

Answer:

Domain: {-7, -3, -1, 1, 4}

Step-by-step explanation:

The domain is the set of x-values that can be inputted into function h.

We see from the graph that all the points are closed dots, so they are all included in our domain. Since this isn't a line, we have to write out each individual x-value point.

We are given 5 points and the domain of "h" (all the blue points) can be found by taking all the x-values of each points.

Answer: -3, 1, 4, -7, -1

Best of Luck!

Answer:

2

Step-by-step explanation:

Answer:

1 row 2 column

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Finding the 'value' means we need to calculate a number answer.

1/8 (x^3 - 4) (t^2 + 8)

Fill in 2 for x and 4 for t.

=1/8(2^3 - 4)(4^2 + 8)

inside of parenthesis we'll work on exponents first.

= 1/8 (8 - 4) (16 + 8)

Still inside of parenthesis, do the subtracting or adding next.

= 1/8 (4) (24)

This is all multiplying.

= 12

The remaining zero of the polynomial 4x³ + 10x² - 6x - 20 is the quotient 4x² + 2x - 10 derived using synthetic division.

The polynomial p(x) = 4x³ + 10x² - 6x - 20 having a zero x = -2 implies that x + 2 is a factor and has another factor derived by dividing p(x) = 4x³ + 10x² - 6x - 20 by x + 2.

we shall derive the other factor using the synthetic division as follows;

divide the first term 4x³ of the polynomial by x (of x + 2) to give 4x²,

multiply x + 2 by 4x² to give 4x³ + 8x²

then subtract 4x³ + 8x² from 4x³ + 10x² - 6x - 20 to give 2x² - 6x - 20

divide 2x² (of 2x² - 6x - 20) by x (of x + 2) to give 2x

multiply x + 2 by 2x to give 2x² + 4x

then subtract 2x² + 4x from 2x² - 6x - 20 to give -10x - 20

divide 10x (of -10x - 20) by x (of x + 2) to give -10

multiply x + 2 by -10 to give -10x - 20

then subtract -10x - 20 from -10x - 20 to give a remainder of zero.

Hence, the results 4x², 2x, and -10 are the terms of the quotient 4x² + 2x - 10 and forms the remaining zeros of the polynomial p(x) = 4x³ + 10x² - 6x - 20.

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Answer:

y=3 when slope=0

y intercept (0,2)

Step-by-step explanation:

y=3 when slope=0

y intercept (0,2)

slope 5/2

The correct answer is f⁻¹(x) = (x + 10)/xDomain of f: All real numbers except x = 1Range of f: All real numbers except 0Domain of f⁻¹: All real numbers except x = 0Range of f⁻¹: All real numbers except 1f⁻¹ is a function.

To find the inverse function f⁻¹ of f(x) = 10/(x - 1), we can interchange the variables x and y and solve for y.

Let's start by interchanging the variables:

x = 10/(y - 1)

Next, we can solve this equation for y:

xy - x = 10

xy = x + 10

y = (x + 10)/x

So, the inverse function f⁻¹(x) is given by:

f⁻¹(x) = (x + 10)/x

Now, let's determine the domain and range of f and f⁻¹:

Domain of f(x):

The function f(x) = 10/(x - 1) is defined for all x except x = 1, as division by zero is undefined. So, the domain of f is all real numbers except x = 1.

Range of f(x):

The range of f(x) can be determined by observing that as x approaches positive or negative infinity, f(x) approaches zero. Therefore, the range of f is all real numbers except zero.

Domain of f⁻¹(x):

The inverse function f⁻¹(x) = (x + 10)/x is defined for all x except x = 0, as division by zero is undefined. So, the domain of f⁻¹ is all real numbers except x = 0.

Range of f⁻¹(x):

The range of f⁻¹(x) can be determined by observing that as x approaches positive or negative infinity, f⁻¹(x) approaches 1. Therefore, the range of f⁻¹ is all real numbers except 1.

Regarding whether f⁻¹ is a function, based on the domain and range described above, f⁻¹ is indeed a function since each input value in its domain corresponds to a unique output value in its range.

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Answer:

21 is the correct answer because

Answer:

B. {All Numbers between and including 0 and 20}

Step-by-step explanation:

This is a graph of: Words (along y-axis) against minutes (z-axis)

As shown in attached graph sketch; the slope of this graph is 50 words per minute.

So the domain of this graph is all numbers between and including 0 and 20.

Answer:

x = 11

Step-by-step explanation:

6x - 21 = 3x + 12

6x - 3x = 21 + 12

3x = 33

x = 33/3

x = 11

Answer:

9

Step-by-step explanation:

One Decimal Place Rule #3: If the last digit in 8.99 is 5 or more and the second to the last digit in 8.99 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.

Hope this helped!

Answer:

y = -1/2x + 9

Step-by-step explanation:

y - 7 = -1/2(x - 4)

y - 7 = -1/2x + 2

y = -1/2x + 2 + 7

y = -1/2x + 9

Answer: 2,184 seats

Step-by-step explanation:

                  Row                     Number of seats

                      1                                24

                      2                               28

                      3                               32

                      4                               36

                      5                               40

                      6                              44

                      7                              48

                      8                              52

                      9                              56

                     10                              60

                      11                              64

                     12                              68

                      13                              72

                      14                              76

                      15                              80

                      16                              84

                      17                              88

                      18                              92

                     19                              96

                     20                              100

                     21                              104

                     22                              108

                     23                              112

                     24                              116

                     25                              120

                     26                              124

                     27                              128

                     28                              132

Total                                            2,184 seats

The description is that a unit increment in the number of sweatshirt will cause a $6.50 increment in the total charges

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Slope = 6.50

This means that a unit increment in the number of sweatshirt will cause a $6.50 increment in the total charges

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Bayes' Theorem is a mathematical theorem that enables the revision of prior probabilities based on new information or evidence.

This theorem is widely used in statistics, machine learning, and other fields that deal with uncertainty and probabilistic reasoning. Contrary to the first option mentioned in the question,

Bayes' Theorem can be used when conditional probabilities are known, and it enables the calculation of posterior probabilities, which is the probability of a hypothesis or event given the available evidence.

Therefore, the third option is correct; Bayes' Theorem enables the use of sample information to revise prior probabilities. This theorem is highly valuable because it allows the integration of new data or knowledge into the decision-making process,

which can lead to more accurate predictions and better-informed decisions. In summary, Bayes' Theorem is a powerful tool that requires knowledge of probabilities and enables the calculation of posterior probabilities based on new evidence or information.

By combining prior probabilities with likelihoods (based on new data), we can calculate posterior probabilities, which represent our updated knowledge.

This process is crucial in making informed decisions in various fields, such as data science, finance, and medical diagnosis.

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\(\large\huge\green{\sf{Answer:-}}\)

\( \frac{65 {a}^{3} }{5a} = \frac{65 {a}^{2} }{5} = 13a {}^{2} \)

The equation for a cosecant function with vertical asymptotes found at x = nπ such that n is an integer is `y = csc(x - nπ)`.

The cosecant function is the reciprocal of the sine function. The cosecant of a particular angle in a right triangle is the ratio of the hypotenuse to the side opposite the angle.

The cosecant function is written as follows: `csc(x) = 1/sin(x)`

Asymptotes are straight lines or curves that a graph approaches but never touches.

As a result, the graph of a curve gets closer and closer to the asymptote as it moves further away from the origin, but it never touches it.

For a function to have vertical asymptotes at `x = nπ`, the denominator of the function should equal zero. In the cosecant function, the denominator is equal to `sin(x - nπ)`.

Therefore, the vertical asymptotes are where `sin(x - nπ) = 0`.

The general form of the cosecant function is `y = A csc(B(x - C)) + D`.

The constants A, B, C, and D are used to alter the form of the graph of the cosecant function.

They can be used to alter the amplitude, period, phase shift, and vertical displacement of the graph, respectively.

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Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Using the rule for a dilation, it is found that:

1. The table with the coordinates is given by the first image.

2. The graph of the dilated triangle is given by the second image.

3. The rule is: (x,y) -> (1.5x, 1.5y).

When a figure is dilated by an scale factor of a, each vertex of the figure is multiplied by the scale factor of a, hence the rule is given by the following vector:

(x,y) -> (ax, ay).

The coordinates of the vertices of the pre-image are given as follows:

A(-2, -2), B(2,2), C(4, -2).

The dilation has a scale factor of 1.5, hence the rule for the calculation of each vertex of the image, considering the pre-image, is given as follows:

(x,y) -> (1.5x, 1.5y).

Then the vertices of the image will be given as follows:

A'(-3, -3), B'(3,3), C'(6, -3).

Each coordinate of A, B and C was simply multiplied by 1/2, and the triangle with these vertices is given by the second image at the end of the answer.

The problem is incomplete, and is given by the first image at the end of the answer.

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If it takes him 30 seconds to install each foot of fencing, he will need 24.115 minutes to install all of the fencing.

To solve this problem, we need to first determine the length of the sides of the triangle. Since Joel cut the longest piece of wood to make a right triangle, we know that the hypotenuse is 20 feet long. Using the Pythagorean theorem, we can then solve for the length of the other two sides:

a^2 + b^2 = c^2

a^2 + b^2 = 20^2

a^2 + b^2 = 400

We also know that Joel has two other pieces of fencing, one that is 15 feet long and one that is 8 feet long. Let's assume that he uses the 20-foot piece as the hypotenuse of the right triangle, and that the 15-foot piece and the 8-foot piece are the other two sides.

Now we can calculate the length of the third side, which we'll call c:

c^2 = 20^2 - 15^2

c^2 = 400 - 225

c^2 = 175

c ≈ 13.23 feet

So the three sides of the triangular portion of Joel's yard are approximately 20 feet, 15 feet, and 13.23 feet long.

To calculate the total length of fencing that Joel needs to install, we add up the lengths of the three sides:

20 + 15 + 13.23 = 48.23 feet

Since Joel can install one foot of fencing in 30 seconds, he can install 2 feet of fencing in 1 minute. Therefore, he will need 24.115 minutes to install all of the fencing:

48.23 feet ÷ 2 feet/minute = 24.115 minutes

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Complete question is:

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.Joel cut the longest piece of wood in order to make a right triangle. If it takes him 30 seconds to install each foot of fencing, how many total minutes will it take him to install all of the fence?

1. plug in the values

3(2) - (-1) = 7; true

2(2) + 3(-1) = 1

4 -3 = 1; true

yes, the point is true for the system. .

2.

the solution is referring to where both the lines intercept on the graph.

3. replace 'y' in the first equation with the second equation

3x + 6x + 1 = 10

9x + 1 = 10

9x = 9

x = 1

plug x = 1

y = 6(1) + 1

y = 7

(1,7)

4. elimiate the common terms which is 'n' which gives;

5m = -5

m = -1

plug in to find 'y' AKA 'n'

3(-1) - n = 2

-3 - n = 2

-n = 5

n = -5

I can futher explain if you'd like, let me know.

Answer:

3x-x+2=4

Hope this helps!

Answer: aircraft A has 212 seats and aircraft B has 104 seats

Step-by-step explanation:

Aircraft B: x seats

Aircraft A: x+108 (108 more than B)

Total seats on both is 316.

So, x+108+x = 316

Combine like terms

2x+108=316

Subtract by 180 both sides

2x=316-108 = 208

Divide by 2 on both sides

x = 104 seats (B)

x+108=104+108=212 (A)

Answer:

It seems you forgot to add the picture.....

If you put it in the comments i will try to solve it...

Stay safe and have a Merry Christmas!!!!!!! :D

Answer:

6

hope this helps! :)

the number that is not in the solution set of x + 8 > 15 is 6

The answer are, 1) $ 162.18  , 2) $ 17500 ,  3) $28.4.

A percentage is a number or ratio that can be expressed as a fraction of 100.

here, we have,

from the given, we get,

1.) the total price you pay =$153+ $153*6%

                                         =$162.18

2.) you earned = $350000 *5%

                        =$17500

3.) you made = $ 710*4%

                      =$28.4.

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Answer:

Step-by-step explanation:       Step 1

1 of 2

step 1.2659 ;[26 Discovery Group

October 20

Last

Trade Time

Chg

Open

52-week High

52-week Low

Sales in 100s

High

Low

​

$38.50

4:00 P.M. ET

$1.56

$37.22

$76.19

$22.78

19,700

$40.10

$36.77

​

\begin{matrix} \text{Discovery Group} & \text{}\\ \text{October 20} & \text{}\\ \text{Last} & \text{\$42.00}\\ \text{Trade Time} & \text{4:00 P.M. ET}\\ \text{Chg} & \text{\$1.50}\\ \text{Open} & \text{\$42.50}\\ \text{52-week High} & \text{\$76.19}\\ \text{52-week Low} & \text{\$22.78}\\ \text{Sales in 100s} & \text{23,600}\\ \text{High} & \text{\$42.50}\\ \text{Low} & \text{\$42.00}\\ \end{matrix}

Discovery Group

October 20

Last

Trade Time

Chg

Open

52-week High

52-week Low

Sales in 100s

High

Low

​

$42.00

4:00 P.M. ET

$1.50

$42.50

$76.19

$22.78

23,600

$42.50

$42.00

​

Yes, the value of the integral will be affected if the position sensor was not initially zeroed, causing the entire data set to shift either right or left on the x-axis.

When integrating a function, the integral represents the accumulated area under the curve. Shifting the entire data set on the x-axis will change the positions of the data points and, consequently, the shape of the curve. This shift will alter the values of the function at each point, resulting in a different accumulated area and, therefore, a different integral value.

To illustrate this, consider a simple example where the function represents a constant value. If the data set is shifted to the right, the integral will encompass a larger area under the curve, leading to a higher integral value. Conversely, if the data set is shifted to the left, the integral will cover a smaller area, resulting in a lower integral value.

Hence, it is crucial to properly zero the position sensor and align the data set correctly on the x-axis to obtain accurate and meaningful integral values. Failing to do so can introduce errors and inaccuracies in the integration process.

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The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in

(4 choose 3) = 4 ways.

The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in

(6 choose 3) = 20 ways.

Therefore, the probability that there will be no graduate students on the subcommittee is:

Number of subcommittees with only undergraduate students / Total number of possible subcommittees

= 4 / 20

= 1/5

= 0.2

So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

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Answer:

The slope would be 4/5.