Solve by completing the square : x^2+4x-7=0 and 2x^2+8x-1=0

Answer:

if line segement XY is congruent to line segment MN, the line segemnt MN is congruent to line segment XY

Step-by-step explanation:

:)

The requried expression of 14 × 14 × 14 × 14 × 14 × 14  using exponents is 14⁶.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

As we know that while multiplying the identical terms the product is equal to the number with the sum of the exponents such as a × a = a¹⁺¹ = a².

Similarly,

14 × 14 × 14 × 14 × 14 × 14 can be written using exponents as, 14⁶

To evaluate this expression, you can use a calculator or simplify it using the laws of exponents.

Thus, the requried expression using exponents is 14⁶.

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To determine the number of acres in this parcel, we need to understand the subdivision of sections and the corresponding acreage.  The parcel described contains approximately 10 acres.

A section is a unit of land commonly used in the United States, measuring approximately one square mile or 640 acres. Each section can be further divided into smaller portions, such as quarters (¼) or sixteenths (1/16).

In this case, the SW ¼ of the SE ¼ of the NW ¼ indicates a subdivision of land within Section 15. Each "¼" represents a division of the section into four equal parts. Starting from the NW (northwest) corner, the first "¼" indicates the NW quarter of Section 15. Within this quarter, the second "¼" represents the SE (southeast) quarter, and finally, the third "¼" represents the SW quarter.

To calculate the number of acres, we need to know the total number of acres in Section 15. Since a section typically contains 640 acres, we can calculate the acreage of the specific parcel by multiplying the fractions. In this case, it would be (1/4) * (1/4) * (1/4) * 640 = 10 acres.

Therefore, the parcel described as the SW ¼ of the SE ¼ of the NW ¼ of Section 15 contains approximately 10 acres.

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Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Answer:

Total chairs = 18×22= 396

so no. of extra chairs need = 468-396 = 72

Now( 72/18) rows = 4 rows

Therefore 4 more rows are needed here

Hope it helps you

Answer: 4

Step-by-step explanation:

The amount of chairs in the hall can be found by multiplying 22 by 18 and getting 396. The amount of chairs needed is 468, so 468-396 gets you the amount of chairs still needed and the number 72. There are 18 chairs in each row, and 72/18 is 4. So 4 more rows are needed.

Answer:

0.2 0.5 0.65 1.5 1.13

Step-by-step explanation:

smallest to largest

-1.2

-0.65

-0.5

0.2

1.13

1.5

Answer:

Function

Step-by-step explanation:

Since each x value corresponds to a single y value

To determine the quadrant of x y, we need to find the signs of sin(x y) and cos(x y). Since sin(x y) is negative and cos(x y) is positive, we know that x y is in the fourth quadrant.

Since sin y= -2/3 and y is in the third quadrant, we know that the adjacent side is negative and the opposite side is negative in the following right triangle:

     |

     |   /|

 2   |  / |

     | /  |

     |/ y|

-----------

        -3

Using the Pythagorean theorem, we can find the hypotenuse:

     |

     |   /|

 2   |  / |

     | /  |

     |/ y|   2^2 + (-3)^2 = 13

-----------

        -3

So the sine and cosine of y can be found as:

sin y = -2/3

cos y = -sqrt(1 - sin^2 y) = -sqrt(1 - 4/9) = -sqrt(5/9) = -sqrt(5)/3

Since cos x = -1/5 and x is in the second quadrant, we know that the adjacent side is negative and the opposite side is positive in the following right triangle:

     |

     |   /|

     |  / |

     | /  |

x     |/   |

-----------

       -5

Using the Pythagorean theorem, we can find the hypotenuse:

     |

     |   /|

     |  / |

     | /  |

x     |/   |   x^2 + 5^2 = 26

-----------

       -5

So the sine and cosine of x can be found as:

sin x = sqrt(1 - cos^2 x) = sqrt(1 - 1/25) = 2sqrt(6)/5

cos x = -1/5

Now, we can use the identities sin(x y) = sin x cos y + cos x sin y and tan(x y) = sin(x y) / cos(x y) to find sin(x y) and tan(x y):

sin(x y) = sin x cos y + cos x sin y = (2sqrt(6)/5)(-sqrt(5)/3) + (-1/5)(-2/3)

        = (-2sqrt(30) - 2) / 15

cos(x y) = cos x cos y - sin x sin y = (-1/5)(-sqrt(5)/3) - (2sqrt(6)/5)(-2/3)

        = (2sqrt(30) - sqrt(5)) / 15

tan(x y) = sin(x y) / cos(x y) = [(-2sqrt(30) - 2) / 15] / [(2sqrt(30) - sqrt(5)) / 15]

        = (-2sqrt(30) - 2) / (2sqrt(30) - sqrt(5))

To determine the quadrant of x y, we need to find the signs of sin(x y) and cos(x y). Since sin(x y) is negative and cos(x y) is positive, we know that x y is in the fourth quadrant.

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Answer:

\(volume=1/3 ~BH\)

\(=1/3(16)^{2} \sqrt{17^{2} -8^{2} }\)

\(=1/3\times256\times15\)

\(=1280 ~ft^{3}\)

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

hope it helps...

have a great day!!

The probability of getting a flush when selecting 5 cards from a standard 52-card deck is about 0.198%.

Hi! To calculate the probability of getting a flush (all 5 cards from the same suit) when selecting 5 cards from a standard 52-card deck, follow these steps:

1. Calculate the total number of ways to choose 5 cards from a 52-card deck. This can be computed using combinations: C(52, 5) = 52! / (5! * (52-5)!), where ! denotes a factorial. C(52, 5) = 2,598,960.

2. Calculate the total number of ways to get a flush. There are 4 suits in a deck, and you need all 5 cards to be from the same suit. For each suit, you can choose 5 cards from the 13 available in that suit: C(13, 5) = 1,287. Since there are 4 suits, the total number of flushes is 4 * C(13, 5) = 4 * 1,287 = 5,148.

3. Compute the probability of getting a flush by dividing the total number of flushes by the total number of ways to choose 5 cards: probability = 5,148 / 2,598,960 = 0.00198, or approximately 0.198%.

So, the probability of getting a flush when selecting 5 cards from a standard 52-card deck is about 0.198%.

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The probability of getting a flush is quite low, but it is still possible.

The probability of getting a flush (all 5 cards from the same suit) if you select 5 cards from a standard 52 card deck can be calculated as follows:

There are 4 suits (clubs, diamonds, hearts, and spades) in a standard deck of cards, each with 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King).

The number of ways to select 5 cards from a deck of 52 cards is given by the combination formula:

\(C(52,5) = 52! / (5! \times (52-5)!) = 2,598,960\)

The number of ways to get a flush.

We can choose any one of the 4 suits for our flush, and then we need to select 5 cards from that suit.

C(13,5) ways to select 5 cards from a suit with 13 cards.

So, the total number of ways to get a flush is:

\(4 \times C(13,5) = 4 \times (13! / (5! \times (13-5)!)) = 4 \times 1,287 = 5,148\)

The probability of getting a flush when selecting 5 cards from a standard 52 card deck is:

\(P = number of ways to get a flush / total number of ways to select 5 cards\)

\(P = 5,148 / 2,598,960\)

\(P = 0.00198 or approximately 0.2\%\)

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Answer:

3

Step-by-step explanation:

The value of "f" will be "14".

According to the question,

By solving the brackets, we get

→ \(\frac{1}{2}f-\frac{6}{2} =4\)

By taking L.C.M, we get

→ \(\frac{f-6}{2} =4\)

By applying cross-multiplication, we get

→ \(f -6=8\)

By adding "6" both sides, we get

→ \(f-6+6=8+6\)

→             \(f =14\)

Thus the above answer is right.  

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Answer:

17.0604

Step-by-step explanation:

I recommend to round to 17. Hope this helped!

Hello User,

Answer:

5.2 meters wide is equal to 17.056 feet.

Step-by-step explanation:

A bedroom is 5.2 meters wide

(1 meter =3.28 feet)

1 meter is equal to 3.28 feet

Now we convert 5.2 meters into feet

When we convert smaller unit to bigger unit we multiply.

To convert meters into feet we multiply by 3.28.

1 meter =3.28 feet

5.5 meters =  3.28 x 5.2 = 17.056

So 5.2 meters wide is equal to 17.056 feet.

The statement "The probability of getting a sum of 7 when rolling a die is 0" is an example of Theoretical Probability. Theoretical Probability is based on mathematical calculations and assumes an idealized scenario.

The statement "Jisoo and Hyeri played a computer game 30 times. Jisoo won 21 times. The probability that Jisoo will win the next game is 21/30 = 0.7" is an example of Experimental Probability. Experimental Probability is based on observed outcomes from a real-world experiment or event.

The statement "When tossing a coin, the probability of getting a head is 0.5. 1/2 = 0.5" is an example of Theoretical Probability.

The statement "Jimin tosses a coin 70 times and gets 26 heads and 44 tails. The probability of obtaining a tail is 22/35" is an example of Experimental Probability. It is based on the observed outcomes from an experiment (tossing a coin) in the real world.

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Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

For $10.50, you can buy 1 pound of shrimp

Step-by-step explanation:

We know that "c" is the total cost and "p" is the number of pounds of shrimp. The number 10.50 is considered to rate for every pound of shrimp because, if we replace "p" with 1 pound, we will get the answer of $10.50. Thus, it costs $10.50 for every pound of shrimp.

The standard error in an independent-means t-test (also known as an independent samples t-test) and a one-sample t-test differ in terms of the populations they are comparing and how they are calculated.

Different types are:
1. Independent-means t-test: This test is used to compare the means of two independent samples (i.e., two separate groups of individuals). The standard error in this test refers to the difference between the means of these two groups. It is calculated using the following formula:

 Standard Error (SE) = √[(s1^2/n1) + (s2^2/n2)]
where s1 and s2 are the standard deviations of the two samples, and n1 and n2 are the sample sizes of the two groups.

2. One-sample t-test: This test is used to compare the mean of a single sample to a known population mean or a specified value. The standard error in this test, also known as the standard error of the mean (SEM), refers to the variability of the sample mean.

In summary, the standard error in an independent-means t-test refers to the difference between the means of two independent samples, while the standard error in a one-sample t-test (SEM) refers to the variability of a single sample mean. The calculations for each standard error are also different, as explained above.

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The rate is 9(units of y) per (unit of x).

answer is 2÷18=9

and the answer is 9

Answer:

Point D

Step-by-step explanation:

\( \huge \qquad \sf Answer\)

How to locate a point on a graph (x - y plane) :

The x - coordinate of a point on the graph shows its distance from y - axis and sign refers to its direction that is +ve sign means right side of y - axis and -ve sign means left side of y - axis.

We have been given its x - coordinate as 9, so the required point should be At a distance of 9 units from y - axis and in right side of y - axis.

And similarly, y - coordinate shows distance of point from x - axis, +ve for upward direction and -ve for downward direction.

and we have given the y - coordinate as 0, ao its distance from x - axis is 0. that means the point lies of x - axis.

And by Observing the points clearly we can figure out that the required point is D. that satisfy the condition.

Answer:12

Step-by-step explanation:

Based on the calculations, the number of degrees that the auto-aim feature would adjust the shot is 12°.

Based on the triangle attached in the image above, we can deduce the following parameters:

Side AT = 15 m.

Side CA = 50 m.

Side CT = 60 m.

In this scenario, we would apply the cosine trigonometry function by using this mathematical expression:

AT² = CA² + CT² - 2(CA)(CT)COSθ

15² = 50² + 60² - 2(50)(60)COSθ

225 = 2500 + 3600 - 6000COSθ

6000COSθ = 6100 - 225

6000COSθ = 5875

θ = COS⁻¹(5875/6000)

θ = COS⁻¹0.9792

θ = 11.72 ≈ 12°

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The standard error for the average number of days of the incubation period for a sample of 200 people with COVID-19 is 0.022 days.

To calculate the standard error for the average number of days of the incubation period for a sample of 200 people with COVID-19, we can use the formula:

Standard error = standard deviation / sqrt(sample size)

Plugging in the values given in the question, we get:

Standard error = 0.31 / sqrt(200)

Simplifying, we get:

Standard error = 0.022

Therefore, the standard error for the average number of days of the incubation period for a sample of 200 people with COVID-19 is 0.022 days. This means that if we were to take multiple samples of 200 people each and calculate the average incubation period for each sample, we would expect the variation between these averages to be around 0.022 days due to sampling error.

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equation A

we have that

Its a vertical line

x=-4

equation B

Its a vertical line

x=4

equation C

Its a horizontal line

y=4

equation D

Its a horizontal line

y=-2

equation E

we need tow points to calculate the slope

we have the points (-4,4) and (4,-2)

the slope is equal to

m=(-2-4)/(4+4)

m=-6/8

m=-3/4

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-3/4

point (4,-2)

substitute

-2=(-3/4)*(4)+b

solve for b

-2=-3+b

b=1

the equation is

y=(-3/4)x+1

Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

The period of the function is 4π and the asymptote for this function is Vertical asymptote.

To identify the period of the given function, we have to find out it's target function. In case of tan, the target function is π as it repeats it's value every π units. So, for the given function, the period will be π multiplied by 4 (4π) as the function has argument θ/4.

Vertical asymptote occurs when the tangent function is undefined. This happens when cosine of an angle is equal to 0. The cosine function is zero at θ = (2n + 1)π/2. Therefore, the vertical asymptote occurs at (2n + 1)π/2 multiplied by 4 as the function has argument θ/4, which gives the result as (2n + 1)2π.

Therefore, The period of the function is 4π and the asymptote for this function is Vertical asymptote.

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20 units is the measure of the length of IK.

A line is defined as the distance between two points. Given the following parameters

IK =5x

IJ = 4

JK =4x

If the point J is on IK, hence;

IK = IJ + JK

Substitute the given parameters to have:

5x = 4 + 4x

5x - 4x = 4

x = 4

Determine the length of IK

IK = 5x = 5(4)

IK = 20

Hence the measure of the length of IK is 20 units
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Complete question

Point J is on line segment IK.Given IK =5x, IJ = 4 and JK =4x, determine the numerical length of IK

(a). O The entire student body (the 17,000 students) and (b). O the 200 students interviewed are the answers to the above-asked question. This is a multiple-choice question about statistics sampling and population. The inquiry inquires about the problem's population of interest and sample.

The answers to the above statistics-based questions can be stated as,

(a) O The population of interest in this topic is the whole student body of the institution, which has 17,000 students because the student senate wants to know what percentage of all students support changing the grading system.

(b) O The sample in this problem consists of the 200 students who were questioned to determine their attitudes toward the proposed change in the grading system. They represent a subset of the overall student body and are used to estimate the percentage of all students who support the change.

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Answer:

213.5035 or 213.50

Step-by-step explanation:

I did the math lol

Answer:

213.5

Step-by-step explanation:

The number of fiction books in the library is equal to 16

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given the ratio of fiction to nonfiction books in a classroom, the library is 2 to 3, and then the total ratio of both books will be 2+3 = 5. If there are 24 books non-fiction books in the library, to get the number of fiction books that are there we will follow the following steps.

First, we will calculate the total number of books in the shelf;

3/5  x Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

3*Total number of books = 120

Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total books on the shelf.

Total number of fiction books = 2/5 * 40

Total number of fiction books = 2* 8

Total number of fiction books = 16 books

Hence there are 16 fiction books on the shelf.

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Answer:

a circle

Step-by-step explanation:

yeah-ya... right?