Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?

Answer:

Step-by-step explanation:

(a - b)(a + b) =a² - b²

(3x + 5)(3x -5) =(3x)² - 5² = 9x² - 25

(x +2)(x+2) = (x+ 2)² = x²+ 2*2*x+2² = x² + 4x + 4

(x+2)(3x -5 ) = x*3x - 5*x +2*3x +2*(-5)

                    = 3x² -5x +6x -10

                    = 3x² + x - 10

[tex]\frac{2*(3x+5)}{x+2}-\frac{5(x+2)}{3x-5}=3\\\\\frac{2*(3x+5)*(3x-5)}{(x+2)(3x-5)}-\frac{5*(x+2)(x+2)}{(3x-5)(x+2)}=3\\\\\frac{2*(9x^{2}-25)-5(x^{2}+4x+4)}{(3x-5)(x+2)}=3[/tex]

[tex]\frac{18x^{2}-25-5x^{2}-20x-20}{3x^{2}+x-10}=3\\\\\frac{18x^{2}-5x^{2}-20x - 25-20}{3x^{2}+x-10}=3\\\\[/tex]

13x² - 20x - 45 = 3*(3x² + x - 10)

13x² - 20x - 45 =9x² + 3x - 30

13x² - 9x² -20x - 3x - 45 + 30 = 0

4x² - 23x - 15 = 0

Answer:

38.2°

Step-by-step explanation:

[tex]sin {}^{ - 1} ( \frac{15 \times sin(27)}{11} )[/tex]

[tex]= 38.2[/tex]

Answered by GAUTHMATH

Answer:

(a-b)(b-c)(a-c)

Step-by-step explanation:

a^2(b - c) + b^2(c-a) + c^2(a - b)

= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b

=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b

= ab(a - b) - c(a^2 - b^2) +c^2(a - b)

=ab(a - b) -c(a - b)(a + b) +c^2(a - b)

=(a - b)(ab - c(a + b) +c^2)

=(a - b)(ab - cb -ca + c^2)

= (a - b)(b(a-c) -c(a-c))

=(a-b)(b-c)(a-c)

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

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Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

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Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

Answer:

The F-Ratio increases as, the variability between means increases relative to the variability within groups

Step-by-step explanation:

The F-Ratio is given as follows;

[tex]F-Ratio = \dfrac{MS_{between}}{MS_{within}}[/tex]

Where;

[tex]MS_{between}[/tex] = The variance between groups

[tex]MS_{within}[/tex] = The variance within groups

Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups

Answer:

q = 36/7  or 5 1/7

Step-by-step explanation:

q · 7/9 = 4

Multiply each side by 9/7

q · 7/9 *9/7 = 4*9/7

q = 36/7

If we want it as a mixed number instead of an improper fraction

7 goes into 36 5 times with 1 left over

q = 5 1/7

Step-by-step explanation:

Number 1

[tex] log_{10}( {x}^{2} - 3x + 12 ) = 1 \\ log_{10}( {x}^{2} - 3x + 12 ) = log_{10}(10) \\ cancelling \: both \: logs \: we \: have \\ {x}^{2} - 3x + 12 = 10 \\ {x}^{2} - 3x + 12 - 10 = 0 \\ {x}^{2} - 3x + 2 = 0 \\ [/tex]

[tex]solve \: \: by \: factorisation \: method \\ {x}^{2} - 2x - x + 2 \\ {x}(x - 2) \: - 1(x - 2) \\ (x - 2)(x - 1) \\ therefore \: x = 2 \: or \: x = 1[/tex]

Number 2

The most significant difference between the static and current electricity is that in static electricity the charges are at rest and they are accumulating on the surface of the insulator. Whereas in current electricity the electrons are moving inside the conductor.

Hope this helps I don't even know if your looking for this.

Answer:

A=0

B=0,3

C=9,3

D=9,0

Step-by-step explanation:

Multiplies all the vertices bay scale factor 3/2

Answer:

17 i think i dont know if its the right answear

Answer:

r = 2.5

Step-by-step explanation:

U= π(r+h)

Where,

U = 16 1/2

h = 2 3/4

π = 3 1/7​

U= π(r+h)

16 1/2 = 3 1/7(r + 2 3/4)

33/2 = 22/7(r + 11/4)

33/2 = 22/7r + (22/7 * 11/4)

33/2 = 22/7r + 242/28

33/2 - 242/28 = 22/7r

(462-242) / 28 = 22/7r

220/28 = 22/7r

r = 220/28 ÷ 22/7

= 220/28 × 7/22

= (220 * 7) / (28 * 22)

= 1540/616

= 2.5

r = 2.5

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:

[tex]t = \sqrt{ \frac{8}{g} } [/tex]

Step-by-step explanation:

We are solving for t.

[tex]4 = \frac{1}{2} g {t}^{2} [/tex]

Multiply both sides by 2.

[tex]8 = gt {}^{2} [/tex]

Divide both sides by

[tex] \frac{8}{g} = {t}^{2} [/tex]

Take square root of both sides.

[tex]t = \sqrt{ \frac{8}{g} } [/tex]

from 0 to 20

neither the seconds nor the height are likely to be negative.

Answer:

29.4 m/s

Step-by-step explanation:

Answer:

n(AuB)=n(A)+n(B)=18

This is the answer

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Answer:

[tex]{ \tt{x = \sqrt{ {10}^{2} - {8}^{2} } }} \\ { \tt{x = \sqrt{36} }} \\ { \tt{x = 6}}[/tex]

Answer:

X = 6

Step-by-step explanation:

This is a right angled triangle. Thus, pythagoras theorem will be best for its solution.

Hypotenuse squared = height squared + base squared

SH² = H² + B²

10² = x² + 8²

100 = x² + 64

10 – 64 = x² + 64 – 64 (grouped like terms)

36 = x²

Root of both sides

Therefore x = 6

Answer:

16/5x

Step-by-step explanation:

as there is 2 5x so it will be 2 by 5x +6+ 8 by 5x

next there is two 5x and it will be 1 5x

then we will add 2+6+8=16

and there is already 5x ..simple.

hope it will help

Answer:

46

Step-by-step explanation:

I found the angle by taking the opposite side of the angle, 38, and dividing it by the hypotenuse, 53.

Then I used the inverse sine function on 38/53 to get the angle 45.81, which I rounded to 46.

0.0910, I think.

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My dyslexia did not like theese numbers

Outlined sector:

2 πr x 225/360 +2r

=2x3.14x10 x 225/360 +20

=59.25 cm

Hope this helped!

Answer:

2100

Step-by-step explanation:

28.34 rounds to 30

We look at the 8 which is greater than 5 and rounds the 2 to 3

69.72 rounds to 70

We look at the 9 which is greater than 5 and rounds the 6 to 7

30*70

2100

Answer:

answer is 533 because we add all the no.

Answer:

the answer is option 1

Step-by-step explanation:

the negative angle => a quarter round angle (clockwise) = ¼ x ( -360°) = -90°

and

the positive angle => a full round angle + 270° = (360°)+270°

= 630°

Answer:

correct answer is -90 and 630

Step-by-step explanation:

Answer:

The null hypothesis is [tex]H_0: p = 0.22[/tex]

Step-by-step explanation:

According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22

This means that at the null hypothesis, it is tested if the proportion is in fact 0.22, that is:

[tex]H_0: p = 0.22[/tex]

A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.

At the alternative hypothesis, it is tested if the proportion is lower than 0.22, that is:

[tex]H_1: p < 0.22[/tex]

Answer:

3. (1-7/9)÷2 = 2/9÷2 = 1/9

reciprocal of 1/9 is 9

4. x+2/x=3

if you solve it, you get x = 1 and x = 2, so last option, 1 and 2, is the answer

Answered by GAUTHMATH

Answer:

27, 18

Step-by-step explanation:

Here's why