Solve the quadratic equation by completing the square.

Answer:

13819

Step-by-step explanation:

The biggest number is :9740

The smallest number is :4079

Sum means addition so...

9470 + 4079 = 13819

Answer:

25%

Step-by-step explanation:

40-30=10

10/40*100

25%

Answer:

Greatest vessel to fill each in exact number of times is 6 litres

Step-by-step explanation:

To solve this, we will find the greatest common factor of 36,18 and 72

Thus;

Their prime factors are;

18: 2, 3

36: 2, 2, 3, 3,

72: 2, 2, 2, 3, 3

The factors common to all of them are 2 & 3.

Thus;

GCF = 2 × 3 = 6

Answer:

see explanation

Step-by-step explanation:

Given

AB + BC = 31

AB - BC = 17

Add the 2 equations

2AB = 48 ( divide both sides by 2 )

AB = 24

Substitute AB = 24 into the first equation

24 + BC = 31 ( subtract 24 from both sides )

BC = 7

Using Pythagoras' identity to find the hypotenuse AC

AC² = AB² + BC² = 24² + 7² = 576 + 49 = 625 ( take square root of both sides )

AC = [tex]\sqrt{625}[/tex] = 25

Then

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]

sinC = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]

cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]

Notice that

(1 - x)⁵ (1 + 1/x)⁵ = ((1 - x) (1 + 1/x))⁵ = (1 - x + 1/x - 1)⁵ = (1/x - x)⁵

Recall the binomial theorem:

[tex]\displaystyle(a+b)^n = \sum_{k=0}^n\binom nk a^{n-k}b^k[/tex]

Let a = 1/x, b = -x, and n = 5. Then

[tex]\displaystyle\left(\frac1x-x\right)^5 = \sum_{k=0}^5\binom5k\left(\frac1x\right)^{5-k}(-x)^k = \sum_{k=0}^5 (-1)^k\binom5k x^{2k-5}[/tex]

We get an x ³ term for

2k - 5 = 3   ==>   2k = 8   ==>   k = 4

so that the coefficient would be

[tex](-1)^4\dbinom54 = \boxed{5}[/tex]

Answer:

45

Step-by-step explanation:

CHECK ANSWER:

45  *5 = 225

45+5 = 50

50 < 225

sum < times

I hope this helped !

Answer:

The answer is B and C.

Answer: B AND C

Step-by-step explanation:

Remote interior angles are angles that are opposite from the exterior angles (5 in this case).

Answer:

The associative property

Step-by-step explanation:

In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:

[tex]x^n=b[/tex]        [tex]\sqrt[n]{b}=x[/tex]

[tex]a*b[/tex]            [tex]a[/tex] ÷ [tex]b[/tex]

[tex]a+b[/tex]           [tex]a-b[/tex]

Let the number be x

ATQ

[tex]\\ \sf\longmapsto 3x+2=18[/tex]

[tex]\\ \sf\longmapsto 3x=18-2[/tex]

[tex]\\ \sf\longmapsto 3x=16[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{16}{3}[/tex]

[tex]\\ \sf\longmapsto x=5.3[/tex]

[tex]\\ \sf\longmapsto x\approx 5[/tex]

Answer:

9^10

Step-by-step explanation:

(a^b)^c = a^(b×c)

hihi

Answer:

            Boys          Girls               Total

Walk      19              22                   41

Bus        23              10                   33

Cycle     40             56                   96

Total      82              88                  170

Answer:

Rewards program

Step-by-step explanation:

A line of credit is a predetermined quantity of money that somehow a bank lends to a person and is issued by a financial company. Reward programme: Reward program's internet shopping centre goods were exchanged and point can redeem for items using Reward program's internet shopping mall points.

Answer:

A. rewards

Step-by-step explanation:

Answer:

y = 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

The line passes through (0, 6 ) ⇒ c = 6

y = 2x + 6 ← equation of parallel line

I think the answer is C

I'm not sure

Answer:

Hence the critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.

Step-by-step explanation:  

Hypotheses are:

[tex]H_{0}:\sigma_{1}^{2}=\sigma_{2}^{2}\\H_{a}:\sigma_{1}^{2}>\sigma_{2}^{2}[/tex]

Here we have s_{1}=6800 and s_{2}=3900. Here we will use F -test. The Value of test statistics is  

[tex]F=\frac{s_{1}^{2}}{s_{2}^{2}}\\\\F=\frac{6800^{2}}{3900^{2}}\\\\F=3.0401[/tex]  

Here the degree of freedom of the numerator is [tex]df_{1}=n_{1}-1=16-1=15[/tex] and The degree of the denominator is

[tex]df_{2}=n_{2}-1 \\\\=24-1=23 .[/tex]

The critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.  

Answer:

Step-by-step explanation:

Answer:

The answer is "25 ml".

Step-by-step explanation:

Dose[tex]= 500 \ mg\\\\[/tex]

Solution [tex]= 100\ \frac{mg}{teaspoonful}\\\\[/tex]

Calculating the Conversions:

Teaspoonful [tex]= 5 \ ml \ \text{(Ounce = 30 ml = 6 Tablespoonsful)}[/tex]

[tex]\therefore\\\\Solution = \frac{100\ mg}{ 5\ ml} = 20\ \frac{mg}{ml}\\\\Dose \ volume = \frac{500\ mg}{ 20\ \frac{mg}{ml}} = 25\ ml[/tex]

Answer:

it should be the third option

Step-by-step explanation:

I hope this help

Answer:

the answer is to the question is b

Answer:

(-1.5,9)

Step-by-step explanation:

In second quadrant the x- component is negative where as y- component is positive

Answer:

TCP/IP stands for Transmission Control Protocol/Internet Protocol and is a set of protocols used to interconnect/connect network devices on the internet. think of it as a set of rules that kind of tell how the network works/ or should work, and what boundaries there are.

TCP/IP specifies how data is exchanged, via the internet. It basically provides communications that identify how/what packets the data should be distributed in, as well as, addressed, transmitted, and received at the destination.

TCP/IP requires a central management so it is capable of making networks reliable, and the added ability of recovering info/data automatically from any failure on any device on the network chain.

TCP also defines how applications can create access and channels of communication across a certain or any network. Like I mentioned before, it  manages how a message (a message can be any type of data that is being sent from one user to another, or and pieces of data that are being transmitted to and through various areas) is assembled into smaller packets before they travel across the internet and reassemble in the right order once reached at the destination address.

IP defines how to address and route each packet to make sure it reaches, said, destination. Each gateway computer on the network checks the IP address to determine where to forward the message.

bonus :

ASCII:

it is the American Standard Code for Information Interchange and is pronounced as (ask-ee).

This is a special code all machines use to receive and deliver data.

This standardized code will allow computers to translate data in the form of special characters.

Because ASCII is a standardized code for all computers, it's easier for them to share information this way without losing data in the translation.

*think about an iPhone sending a message to an Android. two different softwares, so how can messages be sent in the correct order and without any data being lost?

Answer:

I htink x ≈ 8

Step-by-step explanation:

Answer:

X is approximately 7.8.

Step-by-step explanation:

You can use SOH-CAH-TOA to help figure out what function (sin, cos, tan) you need to use in order to figure out the missing side.

For this one, we can see the angle is pointing to the opposite side (x length), and we have been given the hypotenuse (18). So we want to use the sin function.

[tex]sin\ (angle)=\frac{opposite}{hypotenouse}[/tex]

[tex]sin (26)=\frac{x}{18}[/tex]

[tex]0.438=\frac{x}{18}[/tex]

[tex]7.890... = x[/tex]

Using Pythagorean theorm, you can figure out the other side if need be :)

For reference:

[tex]sin (angle)=\frac{opposite}{hypotenuse}[/tex]

[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]

[tex]tan(angle)=\frac{opposite}{adjacent}[/tex]

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7  = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

9/36 = 3/12 = 1/4

Hope this helped.

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know a^b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Rewriting 16 as 2^4

2^4^3/4

2^(4*3/4)

2^3

8

Answer:

4 tacos

Step-by-step explanation:

according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now

Answer:

rgre5ydytye453efdfe45fgs4terwt

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbvbcn

Answer:1. 0.889, 2. −0.4, 3. 0.636 (i rounded the answers to the nearest thousandths)

Step-by-step explanation: the thing is when you are changing them from fraction to decimal you use long division for example

let us say the fraction is a half.

we put the numerator inside and the denominator outside.

so in this case 2 is outside and 1 is inside.

(forgive my drawing)

So after the zero we put a point if it is any number we still put a point after the first division answer.

We also put a zero next to 1 even though it is any other number a the answer on top we still put a zero if the number is over like in this case.

so 10 divide by 2 is 5 we put it on top.

Since we got an answer with no reminder our answer is 0.5.

Answer: 2(−5x^2 +9)(5x^2 +9)

Step-by-step explanation:

Given: 162-50x^4

Factor out 2:  2(81-25x^4)

Rewrite:  2(9^2-(5x^2)^2)

Use difference of squares:  2(9-5x^2)(9+5x^2)

Reorder (if you need to) 2(-5x^2+9)(5x^2+9)

Answer:

6(27 - 8x^4)

Step-by-step explanation:

162 - 50x^4 /2

2(81 - 24x^4) /3

6(27 - 8x^4)

Answer:

There are sixteen lines.