Help me complete the square. ​

Help Me Complete The Square.

Answers

Answer 1

Answer:

k=\(\sqrt{129}\)-10=1.357816691600547or k=\(-\sqrt{129}\)-10=-21.35781669160055

Step-by-step explanation:

k^2-20k=29 |+100

k^2-20k+100=29=100

k^2-2x10xk+(-10)^2=129

(k-10)^2=129

|k-10|=\(\sqrt{129}\)

case 1 k is a positive number

case 2 k is a negative number

hope this helps


Related Questions

2 1/9÷2/3 PLS HELP 20 point also all my question usually have 20 - 40 ponts

Answers

Answer:

3.166

Step-by-step explanation:

Answer:

3 1/6, 19/6, 3.1666...

Step-by-step explanation:

Can someone please help me with this
4(x-10)-6(x-4)

Answers

Answer:

16

Step-by-step explanation:

4 x 10 = 40

6 x 4 = 24

40 - 24 = 16

Your answer is 2(-x-8)
Can someone please help me with this 4(x-10)-6(x-4)

What is the inverse of the function y-2 = 7x?

Answers

Answer:

I think it's y=(1/7)(x+2)

according to a recent study from the centers for disease control on american adults, the proportion that have a mobile phone is 89%, the proportion that have a landline is 57%, and 2% have neither a landline nor a mobile phone. what proportion of american adults have a mobile phone, and not a landline?

Answers

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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a company owns two dealerships, both of which sell cars and trucks. the first dealership sells a total of 164 cars and trucks. the second dealership sells twice as many cars and half as many trucks as the first dealership, and sells a total of 229 cars and trucks. an equation for the total cars and trucks for dealership a: an equation for the total cars and trucks for dealership b: how many cars did dealership a sell? how many trucks did the dealership b sell?

Answers

a) An equation for the total cars and trucks for the dealership is y = 2x + 0.5y = 229. b) Dealership B did not sell any cars and Dealership A sold 164 cars.

Let's say that the number of cars and trucks sold by dealership A is 'x', and the number of cars and trucks sold by dealership B is 'y'.

An equation for the total cars and trucks for dealership A is:x = 164

An equation for the total cars and trucks for dealership B is:

y = 2( cars sold by A) + 0.5 (trucks sold by A)

y = 2x + 0.5y = 229

Now, we need to solve the above two equations to find the value of 'x' and 'y'.

Substituting the value of 'x' from the equation for dealership A into the equation for dealership B: y = 2(164) + 0.5y = 328 + 0.5y

Now, subtract 0.5y from both sides:

0.5y = 229 - 3280.5y = -99y = -99/0.5 = -198

Therefore, dealership B did not sell any cars or trucks as the value of 'y' is negative.

However, we can find the number of cars dealership A sold by substituting the value of 'x' into the equation for dealership A: x = 164

Therefore, dealership A sold 164 cars.

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evaluate 12.3s + 11.7t when s= 7 and t= 8​

evaluate 12.3s + 11.7t when s= 7 and t= 8

Answers

Answer:

Step-by-step explanation:

Frog legs

5m – 8 = 3m + 8 for m

Answers

Answer:

m=8

Step-by-step explanation:

is (x+5) A FACTOR OF f(x) = x3 − 4x2 + 3x + 7

Answers

Answer:

(x+5) is not a factor of f(x)

Step-by-step explanation:

Step 1 : we solve the equation x +5 = 0

x + 5 = 0 then x = -5

Step 2: we plug in -5 into f(x)

If we get zero then x+5 is a factor of f(x)

If we get a number other than zero then x+5 is not a factor of f(x)

Calculation:

f(-5) =  (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0

Therefore ,(x+5) is not a factor of f(x)

Answer:

(x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7

Step-by-step explanation:

To see if (x + 5) is a factor, you can use either synthetic division or long division.

I'll be using synthetic division to divide f(x) by (x + 5):

-5 | 1 -4 3 7

| -5 45 -240

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

1 -9 48 -233

The remainder is -233, which means that (x + 5) is not a factor of f(x) since there is a remainder.

Therefore, (x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7.

how to find central angle with radius and arc length

Answers

The central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

To find the central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):

Central angle (in degrees) = (Arc length / Radius) * (180 / π)

Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.

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How do I find x on lines​

Answers

The center line that goes from left to right is your x axis and the line that goes from top to bottom is you y axis

solve pls brainliest

solve pls brainliest

Answers

Answer:

yes

Step-by-step explanation: brainly

Some campers are starting a 7-mile hike. If they stop to take pictures every ⅕-mile, how many stops will they make?​

Answers

Answer:

35

Step-by-step explanation:

I did 1/5 into a decimal which is 0.2 and then i did 7/0.2 because 7 miles and 0.2 miles they stop and then you divide them and get 35

Every friday, lois orders pizza for everyone at work before she gets tied up designing advertising campaigns for the following week. she is also on the event organizing committee and planning the outfits for the upcoming christmas party at work. she ensures that she is very polite and approachable to all her colleagues.

Answers

Lois is a very dedicated and hardworking individual. Every Friday, she takes the initiative to order pizza for her colleagues at work, showing that she is considerate of their needs and wants.

On top of that, she is responsible for designing advertising campaigns for the following week, which requires a lot of creativity and attention to detail. Lois is also actively involved in the event organizing committee and is currently planning the outfits for the upcoming Christmas party, which is a crucial task.

Despite her busy schedule, Lois always ensures that she remains polite and approachable to her colleagues, demonstrating her excellent interpersonal skills. Overall, Lois is an essential member of the team who goes above and beyond to ensure that everything runs smoothly.

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Look at the image above:
Could someone please do this for me

Look at the image above:Could someone please do this for me

Answers

Answer:

the shapes below are similar because,

Step-by-step explanation:

36 divided by 4 is 9.

9 is also the length on shape 2.

(9x2) + (4x2) = 36

36 is also the area of shape 2

Answer:

I think it is the area and perimeter are the same

Step-by-step explanation: Shape 1: If the perimeter is 26. one side is 9. 26-18= 8. You divide that to get the measure of the other side which is 4. 9*4=36.          Shape 2: area is equal to 36, one side is for so the other side has to be 9. So the perimeter of shape 2 is 26 too.

What is the 52nd term of -11,-2,7,16,25,34

Answers

Answer:

448

Step-by-step explanation:

Formula

tn = a + (n - 1)d

Givens

a = - 11

n = 52

d = 9

Solution

t52 = -11 + (51)*9

t52 = - 11 + 459

t52 = 448

James purchases 500 vinyl records for $25.00. Which statement describes a unit rate for his purchase? (choose all answers that apply)

Question 9 options:

500 vinyl records$25

20 vinyl records$1

$1005 vinyl records

$0.05 1 vinyl record

Answers

Answer:

500 vinyl records for $25 and 20 vinyl records for $1

Step-by-step explanation:

you have to multiply 500 by 25 and you get 20 records forjust 1 dollar

Find the probability that a point choseb at randon the figure will lie in the shaded region. Write your anser as a percentage rounding to the nearest hundreth in percentage form

Find the probability that a point choseb at randon the figure will lie in the shaded region. Write your

Answers

Answer:  21.46%

=======================================================

Explanation:

Let's find the area of one of the circles

A = pi*r^2

A = pi*10^2

A = 100pi

One circle is exactly 100pi square meters in area.

Four of the circles then combine to a total area of 4*100pi = 400pi square meters.

The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.

The shaded region would therefore have an exact area of 1600-400pi square meters.

This approximates to 1600-400pi = 343.362938564082

Divide this over the area of the square to get the probability we want to find:

343.362938564082/1600 = 0.21460183660256

That's roughly 0.2146, which converts to 21.46%

Answer:

21.5%

Step-by-step explanation:

Find the area of the square, which is 40² or 1600 sq m

Find the area of one circle, multiply it by 4, then subtract that from 1600

A = 100(3.14) = 314

314 x 4 = 1256

1600 - 1256 = 344

Probability of landing in the shaded region is 344/1600 = 21.5%

the mathematical answer of 1+1

Answers

Answer:

two

Step-by-step explanation:

one and add another one

Two because it’s like that

A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?

The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

Answers

Answer:

ME TOO

Step-by-step explanation:

Function transformation involves changing the position of a function.

The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

The functions are given as:

\(\mathbf{f(x) = x}\)

\(\mathbf{g(x) = -5f(x) + 2}\)

Substitute x for f(x) in g(x)

\(\mathbf{g(x) = -5x + 2}\)

The +2 in \(\mathbf{g(x) = -5x + 2}\) means that, g(x) is gotten by translating f(x) up by 2 units.

The -5 in \(\mathbf{g(x) = -5x + 2}\) means that, g(x) has a steeper slope.

Hence, the correct option is (d)

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1.11 The open-loop gain of a system is \( 0.6 \) when the phase angle is \( -180^{\circ} \). What is the gain margin of the system in \( \mathrm{dB} \) ? Is the system sufficiently stable in practice?

Answers

The gain margin of the system is 4.77 dB.

The system is not sufficiently stable in practice. Given,The open-loop gain of a system is 0.6 when the phase angle is -180°. From the given information,The gain margin is given by the expression, GM = 20 log (1/|G(jω)|) in dB, where G(jω) is the open-loop transfer function of the system.

At the phase angle of -180°, the magnitude of the open-loop transfer function is 0.6. The gain margin of the system is GM = 20 log (1/|G(jω)|) = 20 log (1/0.6) = 4.77 dB. The gain margin of the system is 4.77 dB. Since the gain margin is positive, the system is stable.

However, the gain margin of the system is less than 6 dB which is the recommended value for stability. Thus, the system is not sufficiently stable in practice.

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Which value for x makes the sentence true?

18x = 360

Answers

Answer:

X=20

Step-by-step explanation:

360/18=20

Answer:

x=20

Step-by-step explanation:

18x=360

divide both sides by 18x

\(\frac{18x}{18}\)=\(\frac{360}{18}\)

simplify

x=20

hope this helps :) have a nice day !!

Review the properties of exponents. In complete sentences, explain the process necessary to simplify the exponential expression. Complete your work in the space provided. Include your explanation, the mathematical steps, and the final, simplified expression.

Review the properties of exponents. In complete sentences, explain the process necessary to simplify

Answers

Answer:

\(=\frac{2a^4}{3bd}\)

Step-by-step explanation:

Given expression is,

\(\frac{2ab^{-1}}{3a^{-3}d}\)

Further simplify the expression by converting the negative exponents into positive.

\(b_1=\frac{1}{b}\)

\(a^{-3}=\frac{1}{a^3}\)

By substituting these terms in the given expression,

\(\frac{2ab^{-1}}{3a^{-3}d}=\frac{2a(\frac{1}{b})}{3(\frac{1}{a})^3d}\)

         \(=\frac{\frac{2a}{b}}{\frac{3d}{a^3} }\)

         \(=\frac{2a}{b}\times \frac{a^3}{3d}\)

        \(=\frac{2a^4}{3bd}\)

A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

The height of the 10th bounce of the ball will be 0.6 feet.

What is geometric sequence?

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

What is the formula for finding the nth term of geometric sequence?

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

\(\sf T_n\) is the nth term.r is the common ratioa is the first term

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

9/16......................................

For decimal form it would be 0.5625 but for fraction it would be 9/16.

Which ordered pair is a solution of the equation? 5x+12y=60

(0,5)
2, 25/6
both
or neither

Answers

Answer:

both

Step-by-step explanation:

you can solve this problem with substitution:

5(0) + 12(5) = 60

0 + 60 = 60 is true, therefore the first ordered pair is a solution

the second ordered pair is:

2, 25/6

therefore:

5(2) + 12(25/6) = 60

10 + 50 = 60

10 + 50 = 60 is true, therefore the second ordered pair is also a solution.

in conclusion, both of the ordered pairs are solutions.

Ridgewood Savings Bank charges a $27 per check overdraft protection fee. On July 8, Nancy had $1,400 in her account. Over the next 4 days, the following checks arrived for payment at her bank: July 9, $1,380.15; July 10, $670 and $95.67; July 11, $130; and July 12, $87.60.
How much will she owe the bank after July 12?

Answers

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

What is total obligation?

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Yo The digit 6 in the number 406,000 is how many times greater than the digit in 400,060

Answers

Answer:

s

Step-by-step explanation:

Answer:

The number is 100 x greater than the other number

Step-by-step explanation:

406,000 is the number

400,060 is the comparing number

use a place value .Brainiest would be needed Please.

hmm need help please

hmm need help please

Answers

Answer:

Hello! answer: b = 5

Step-by-step explanation:

13 × 13 = 169 12 × 12 = 144 169 - 144 = 25 5 × 5 = 25 therefore b = 5 hope that helps!

12x12=144

13x13=169

169-144=25

5^2= 25

B=5 feet

help i didn't understand this lesson :((​

help i didn't understand this lesson :((

Answers

Answer:

20π

hope it helps

thanks for giving such a easy question

help i didn't understand this lesson :((

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.

Which drive-thru typically has more wait time, and why?

Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean

Question 2

The box plot represents the number of tickets sold for a school dance.

A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.

Which of the following is the appropriate measure of center for the data, and what is its value?

The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.

Question 3
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.

5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20

A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.

Which measure of variability should the charity use to accurately represent the data? Explain your answer.

The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.

Question 4

The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.

circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent

Which of the following conclusions can we draw from the circle graph?

Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.

Question 5

The line plot displays the number of roses purchased per day at a grocery store.

A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.

Which of the following is the best measure of variability for the data, and what is its value?

The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.



Question 7

At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Mustard Chili
63 27 60


Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000

Question 8

The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.

Which graphical representation would be most appropriate for the data, and why?

Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical

Answers

Burger Quick, because it has a larger median.

How to explain the information

Burger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.

Therefore, the correct answer is: Burger Quick, because it has a larger median.

Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.

Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.

The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.

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