complete the square to make a perfect square trinomial. Write the result as a binomial square. a^2-20a​

Answers

Answer 1

Answer:

(a-10)^2 = 10^2

Step-by-step explanation:

a^2-20a=0

a^2-20a+100=100

(a-10)^2=100


Related Questions

Jessica is on her way home in her car. She has driven 30 miles so far, which is two-thirds of the way home. What is the total length of her drive?

Answers

45 miles long in total because if you have driven 30 miles and that’s 2/3 then what’s 30 divided by 2. 15 so when you have 15 times 3 that equals 45 miles in total

The value of square root of 20 is between 4.4 and 4.5. Which of the following is a more precise approximation of square root of 20?

Answers

Answer:

4.5

Step-by-step explanation:

the square root of 20 is closer to 4.5 than it is to 4.4

What two factors of 25 also have the sum of -10?

Answers

Answer:

-5 and -5.

Step-by-step explanation:

Two negative numbers multiply to make a positive and add to make a negative.

HELP ILL MARK BRAINLIEST IF CORRECT!!!

Answers

Answer:

Does y vary directly with x?

•YES

What is the---------------?

•A. k=y

What is the function----------?

•A. y=x

Help math math math

Answers

Hello.

In order to convert this equation into slope intercept form, we need to divide the entire equation by 7:

[tex]\tt{8x-7y=13[/tex]

[tex]\tt{\displaystyle\frac{8x}{7} -\frac{7y}{7}=\frac{13}{7}[/tex]

Simplify:

[tex]\tt{\displaystyle\frac{8x}{7}-y=\frac{13}{7}[/tex]

Add y to both sides:

[tex]\Large\boxed{\sf{y=\displaystyle\frac{8x}{7} -\frac{13}{7}}}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Hey there!

8x - 7y = 13

8x - 13 = 7y

(8x - 13)/ 7 = y

8x/7 - 13/7 = y

Hope it helps ya!

if a printer prints 36 pages in 12 minutes, how many pages per minute?

Answers

3 pages per minute. all u have to do is divide 36 by 12

Step-by-step explanation:

The key word "per" hints at a ratio

A ratio is represented by ?:?, ?/?, etc

So, we can divide the two

pages. 36 pages

----------- = ------------- = 3 pages per min minute 12 minutes

Help help math please please

Answers

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

The standard form of a line is given by -

[tex]\green{ \underline { \boxed{ \sf{Ax+By=C}}}}[/tex]

where

A= integerx = x-interceptB= integery = y-interceptC = constant

Given Equation: -

[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} -1 \\\end{gathered} [/tex]

Arranging equation in standard form -

[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{1}{1} \quad (1 = \frac{1}{1})\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{1 \times 4}{1 \times 4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{4}{4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf y = \frac{-5x-4}{4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4y = -5x-4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4y +5x =-4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 5x +4y=-4 \\\end{gathered} [/tex]

Comparing with standard form of line -

A = 5B = 4

Thus , 5 is our required answer.

20 m/h
10. An aeroplane travel 2000 miles in 2
hours, what is its speed?

Answers

Answer:

1000 mph or 1000 miles per hour

Step-by-step explanation:

Speed = Distance/time, 2000miles/2hours=1000 miles per hour or 1000 mph

Looking for answer for this answer

Answers

The answer is the last one!!

Answer:

The last option

Step-by-step explanation:

[tex]a^{-4} =\frac{1}{a^{4} }[/tex]

then

[tex]2a^{-4} m^{5}=\frac{2m^{5} }{a^{4} }[/tex]

Hope this helps

A market researcher for a consumer electronics company wants to determine if the residents of a particular city are spending more time watching TV than the average for this geographic area. The average for this geographic area is 13 hours per week. A random sample of 16 respondents of the city is selected, and each respondent is instructed to keep a detailed record of all television viewing in a particular week. For this sample the viewing time per week has a mean of 15.3 hours and a sample standard deviation sn = 3.8 hours. Assume that the amount of time of television viewing per week is normally distributed. Can the researcher claim that the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area? Explain your conclusion.

Answers

Answer:

The conclusion

There is sufficient evidence to conclude that the  the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.

Step-by-step explanation:

From the question we are told that

   The population mean is [tex]\mu = 13 \ hours\ per\ week[/tex]

   The sample size is  n= 16

    The sample  mean is  [tex]\= x = 15.3[/tex]

    The standard deviation is  [tex]s = 3.8\ hours.[/tex]

   The null hypothesis is  [tex]H_o : \mu = 13[/tex]

    The alternative hypothesis is  [tex]H_a : \mu > 13[/tex]

     The level of significance is  [tex]\alpha = 0.05[/tex]

Generally the test statistics is mathematically represented as

      [tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

=>   [tex]t = \frac{15.3 - 13 }{ \frac{ 3.8 }{\sqrt{16} } }[/tex]

=>   [tex]t = 2.42[/tex]

 Generally the p-value is mathematically represented as

      [tex]p-value = P(z > 2.42)[/tex]

From the z -table  

       [tex]P(z > 2.42) = 0.0077603[/tex]

=>   [tex]p-value = 0.0077603[/tex]

From the values obtained we see that  [tex]p-value < \alpha[/tex]

Hence we reject the  null hypothesis

   Therefore there is sufficient evidence to conclude that the  the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.

can someone help me with this I already answered half of all of them but I need to make sure It's right?

Answers

Answer:

yes 0.265 is correct it is your answer

A statistician believes that the percent population growth rate of major cities has decreased compared to the last decade. To test his claim, he randomly selects major cities and compares the percent population growth between the years 2007 and 2017 to the percent population growth between the years 1997 and 2007. Suppose that data were collected for a random sample of 17 cities, where each difference is calculated by subtracting the percent growth rate from 1997 to 2007 from the percent growth rate from 2007 to 2017. Assume that the percentages are normally distributed. The statistician uses the alternative hypothesis Ha:μd<0. Using a test statistic of t≈−5.053, which has 16 degrees of freedom, determine the range that contains the p-value.

Answers

Answer:

The range consisting of the p-value is, 0.000001 < p-value < 0.00001.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the percent population growth rate of major cities has decreased compared to the last decade.

The alternative hypothesis is Hₐ: [tex]\mu_{d}<0[/tex].

The test statistic value is, t = -5.053.

The degrees of freedom is, 16.

Compute the p-value as follows:

[tex]p-value=P(t_{16}<-5.053)=0.000059[/tex]

Thus, the range consisting of the p-value is, 0.000001 < p-value < 0.00001.

Are the lines x = 2 and y = 5 parallel? Are the perpendicular? Explain.
=

Answers

Answer: Yes

Step-by-step explanation:

x=2 is a vertical line with an undefined slope, and y=5 is a horizontal line with a slope of 0. Since these lines have slopes that are negative reciprocals, they are perpendicular.


[tex] \frac{x}{4} + 3 = \frac{x}{2} + 3[/tex]

Answers

Answer:I think it’s 7...

Step-by-step explanation:

Calculus 3.10 Linearization (a) y=x^2sin2x (b) y=ln sqrt(1+t^2) find the differential of each.

Answers

Answer:

Below in bold.

Step-by-step explanation:

(a) y=x^2sin2x

Using the Product Rule:

dy/dx = x^2*2cos2x + 2xsin2x

dy/dx = 2x(xcos2x + sin2x).

(b) y=ln sqrt(1+t^2)

     y = ln (1 + t^2)^1/2

Using the chain rule:

dy/dx =  1 / (1 + t^2)^1/2 * 1/2(1 + t^2)^-1/2 * 2t

=  2t/(1 + t^2)^1/2 * 1/ (2(1 + t^2)^1/2

=   2t / 2(1 + t^2)

= t / ( 1 + t^2).

If x = 3i, y = 2i, and z = m + i, the expression xyz equals
1.) -12-12mi
2.)-6-6mi
3.)12-12mi
4.)6-6mi

Answers

Answer:

Step-by-step explanation:

I am assuming that i = √(-1)

3i*2i*(m + i)

= 6i^2(m + i)

= -6(m+ i)

= -6m - 6i.

Circumference of the circle
R=9in

Answers

Formula is 2piR
So 2x9x3.14=56.52

Answer:

C = 56.52 Inch.

Step-by-step explanation:

Formula: C = 2πr

C = 2π (9)

C = 18π

C = 18 (3.14)

C = 56.52 Inches

NO LINKS!!!
Please help with these parts!! parts b, c, and d

Answers

b. There are infinitely many solutions there are infinitely many numbers that are greater than or equal to 4

c. The boundary point for the inequality is at x=4 because any value less would make the inequality not true. The ralationship with the inequality is that it is the only solution that makes the inequality exactly equal to 13

d. (see image) just account for the x direction and ignore the y

A is solved according to you

#b

We have to create a interval notation to find

Let's check

[tex]\\ \rm\rightarrowtail 4x-3\geqslant 13[/tex]

[tex]\\ \rm\rightarrowtail 4x\geqslant 16[/tex]

[tex]\\ \rm\rightarrowtail x\geqslant 4[/tex]

So

[tex]\\ \rm\rightarrowtail x\in [4,\infty)[/tex]

Infinite solutions

#c

Boundary is when the inequality becomes false

Here its

x=4

#d

Attached

Find the slope of the line that goes through the given points

(4,5) (and 3,3)

Answers

Answer:

slope=2

Step-by-step explanation:

y-y=m(4-3)

5-3=m(4-3)

2=m(1)

2/1=m

m=2

please answer these 3 equations fast pls

Answers

Answer:

15: 10.99

2(3.14)r

3.5/2 = 1.75

2(3.14)1.75

10.99

16: 50.24

2(3.14)8

50.24

17: 260%

2 = 200%

3/5 = 60%

200 + 60 = 260%

Have an amazing day!

Please rate and mark brainliest!!

Line L in the figure below is parallel to the line y=5x+3. Find the coordinates of the point P.

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{5}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

that means that the slope of line L is also 5, or 5/1 or   [tex]slope=\cfrac{\stackrel{rise}{5}}{\underset{run}{1}}[/tex]

Check the picture below.

someone please help​

Answers

Answer:

C

Explanation:

I think you’re asking what graph goes with D = {x|x≠0} and R = {all real numbers}, which would be C. The reason being is that because x≠0, you need an open dot to represent 0 not being on the line. B has a closed dot, meaning 0 is included, which isn’t what it’s asking for.

In the diagram below, xy and yz are tangent to 0. What is the measure of
wz?
W!
0 120°
60°y
Z
A. 240°
B. 180°
C. 210°
D. 150

Answers

Answer:

240°

Step-by-step explanation:

measure of XWZ = 360 - 120 = 240°

The measure of arc wz is 240 degrees.

here, we have,

we know that,

A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.

An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.

Given:

From diagram, m ∠xz = 120 degrees.

We know that whole circle = 360 degrees

So, measure of arc wz = 360 - 120

                                     = 240

Hence, the measure of arc wz is 240 degrees.

Learn more about Major and Minor Arc here:

brainly.com/question/9288523

#SPJ7

Ok, so Jay has a goal of saving money to buy a handheld game console. Jay has reached 10% of his goal and saved $12. Please explain

Answers

Answer:

$120

Step-by-step explanation:

10% = 1/10

If Jay has only saved 1/10 of his goal, then to find how much the goal is we multiply how much he has by 10. This will convert 1/10 to 1.

12 x 10 = 120

Jay's goal is $120

Answer:

$120

i got on edg 2020 hope this helped you

What's the radius of a circle with 15 mm? please answer this question is easy!

Answers

Answer:

7.5

Step-by-step explanation:

If Circumference = 15 pi, then the diameter is 15 mm, so the radius = 7.5 mm.

a car travels at a speed of 85 mph how far will it travel in 15 minutes ​

Answers

Answer:

106.25 mph

Step-by-step explanation:

since the car travels at 85 miles per hour we divide it by 60 seconds in order to find how many miles is it to get in a minute

=> 85mph ÷ 60

divide 85 by 60

=> 1.416

multiply 1.416 by 15 to get how many miles it to go in 15 minutes

=> 21.25

then add it to 85

=> 106.25

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?

Answers

5/11 * 6/11 = 30/121

For every 6kg of a child's weight, pediatricians prescribe 17mg of acetaminophen. If Lexie weighs 48kg, how many milligrams of the acetaminophen will the pediatrician prescribe?

Answers

136 milligrams of acetaminophen. 48/6 = 8. 8 x 17 = 136 milligrams.

¿Cuál es la fuerza por unidad de longitud que actúa
sobre un alambre recto que conduce una corriente de
9.40 A de manera perpendicular a un campo
magnético uniforme de 0.80 T?

Answers

La fuerza por unidad de longitud del cable recto que lleva es de 7,52 N/m.

¿Qué es la fuerza magnética?

La fuerza magnética se refiere a la fuerza que experimenta un cuerpo en el campo magnético.

Tenemos la siguiente información;

Corriente (I) = 9,40 A

Campo magnético = 0,80 T

Dado que;

F = BIL senθ

Tenemos que encontrar la fuerza por unidad de longitud así;

F/L = BIsenθ

F/L = 0,80 T * 9,40 A Sen 90 = 7,52 N/m

Obtenga más información sobre el campo magnético: https://brainly.com/question/19542022

1
Calculate the pressure exerted by a girl of 30kg if she is standing on only one
leg. (Area of her sole is 100 cm).

Answers

Soln

here

weight = 30 kg

Force = weight × 10

= 30×10

= 300

Area = cm

= 100/100

= 1

now,

Pressure = Force/Area

= 300/1

= 300 pa.

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