2.891 value of the 1

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_4_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_4_ _3_ ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_4_ _3_ _2_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

[tex](a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}[/tex], [tex]\forall\,a,b\in\mathbb{R}[/tex]

Let prove if each option observe this:

a) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex]

1) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex] Given

2) [tex](2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2}[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = 2\cdot x[/tex], [tex]b = 3\cdot y[/tex] Definition of perfect square trinomial/Result.

b) [tex]9\cdot a^{2}-36\cdot a + 36[/tex]

1) [tex]9\cdot a^{2}-36\cdot a + 36[/tex] Given.

2) [tex](3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2}[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = 3\cdot a[/tex], [tex]b = 6[/tex] Definition of perfect square trinomial/Result.

c) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex]

1) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex] Given

2) [tex]x\cdot y\cdot (1-4\cdot x+4\cdot x)[/tex] Distributive property.

3) [tex]x\cdot y \cdot 1[/tex] Existence of the additive inverse/Modulative property.

4) [tex]x\cdot y[/tex] Modulative property/Result.

d) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex]

1) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex] Given

2) [tex](a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2})[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = a\cdot b[/tex], [tex]b = 2\cdot a^{2}[/tex] Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

Answer:

(-9, 1)

Step-by-step explanation:

translating UP is to increase on the y axis, so -4+5=1

translating to the LEFT is to subtract on the x axis so-2-7=-9

Answer:

y intercept is 4

Step-by-step explanation:

Answer:

Corresponding angles are equal

therefore y = 134°

Angles on a straight line add up to 180°

x = 180° - y

x = 180° - 134°

x = 46°

and please I need brainliest

Answer:

C

Step-by-step explanation:

-4+9=5

Answer:

15cm

Step-by-step explanation:

the width is xcm

22 + 22 + 2x = 74

44 + 2x = 74

2x = 30

x = 15

the width is 15cm

Answer:

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because 8/10 divided by 1/5 equals 4

Answer:

A

Step-by-step explanation:

27 x -5 = -135

Answer: A

Step-by-step explanation: Hope I helped you.

Answer:

I think you would just multiply by -4

Step-by-step explanation:

3 x -4 = -12

-12 x -4 = 48

48 x -4 = -192

Please let me know if I've done anything wrong!

Answer:

Hi there!

Your answer is

The length is 19

Step-by-step explanation:

L=3w-5

P=54

Perimeter formula

L+L+W+W=P

(3w-5)+(3w-5) +w+w = 54

8w-10=54

+10

8w=64

/8

w=8

Plug in width in Length formula

L=3w-5

L= 3(8)-5

L=19

Answer:

n = 12

Step-by-step explanation:

You first write it out as in equation and get 3n-7=2n+5

You then do addition property of equality to add 7 on both sides, and gets 3n=2n+12

Then you subtract 2n from both sides to get

n=12

Hope this helps!

Answer:

7.  39

Jim is 39 years younger.

Answer:

$308

Step-by-step explanation:

Easy, find how much is earned in 1 hour. Therefore 70/5 = 14 dollars per hour

and multiply the amount of hours work therefore 14 times 22 = $308

Answer:

308

Step-by-step explanation:

Because if you have 70$ in 5 hours

it means that you have 14$ every hours

so, you have 308$ in 22 hours

22x14=308

Answer:

19

√

5

+

45

Step-by-step explanation:

Multiply:

√

2

⋅

√

6

.

Multiply:

3

√

9

⋅

3

√

6

.

2

√

3

⋅

5

√

2

.

Answer

[tex]21[/tex]/6  write the square root sign with 21 inside /6  (I cant make the sign

[tex]\sqrt{x} 3[/tex]/6 x 7

[tex]\sqrt{x} 3[/tex][tex]\sqrt{x} 7[/tex] /6    TAKE THE X's OUT) ok i cant make the sign  alone Draw a line

                      and put the 6 under the 3 and 7

[tex]3 x 7[/tex] /6            Put the 3x7 under one square root sign /over 6

21/6                Put the 21 inside the square root sign / over 6

Step-by-step explanation:

does that make sense?  i cant make the square root symbol  so dont put the x's with the numbers

Answer:

f=8

Step-by-step explanation:

21+(5 times 8=40) = 61

Answer:

g(h(x))

Step-by-step explanation:

g(h(x))=

[tex](5 \div 3)( (- 12) {x}^{2} - 6x) + 1 = \\ (5 \times( - 12) {x}^{2} ) \div 3 - (5 \times 6x) \div 3 + 1 = \\ (5 \times (- 4) {x}^{2} ) -( 5 \times 3x) + 1 = \\ - 20 {x}^{2} - 15x + 1[/tex]

Answer:

the answer is 104,000

Step-by-step explanation:

sian needs to use the 5 in the hundreds place holder to round the 3 in the thousands face holder to 4.

hope this helps.

From the diagram given, line TR and RV are equal, using the obtained value of x, the value of the segment VS is 15 units

5x - 4 = 2x + 5

5x - 2x = 5 + 4

3x = 9

x = 9/3

x = 3

TS = VS

Hence, VS = 6x - 3

Substitute the value of x to obtain the value of VS :

VS = 6x - 3

VS = 6(3) - 3

VS = 18 - 3

VS = 15 units

Hence, the length of the segment VS is 15 units.

Learn more : https://brainly.com/question/18293224

Answer:

15 units :)

Step-by-step explanation:

Answer:

3 ft 9 in

Step-by-step explanation:

Answer:

Step-by-step explanation  

make a decimal at the end if the Number. Move the decimal until the lest of it is more than one and less than ten. And since you move the decimal 5 times the five goes over the ten

Answer:

The person will bike 20 miles.

Step-by-step explanation:

Answer:

The rule in what is shown to be a graph and a in-out machine is:

y = 2x + 5

Step-by-step explanation:

2(5) + 5 = 15

10 + 5 = 15

15 = 15

TRUE RULE

2(7) + 5 = 19

14 + 5 = 19

19 = 19

TRUE RULE

2(8) + 5 = 21

16 + 5 = 21

21 = 21

TRUE RULE

y = 2x + 5 is your rule!

Answer:

Step-by-step explanation:

y = 2x + 5

Answer:

+2

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

a. Construct a decision tree for Wile

The solution to the question has been attached.

b. What is the expected value of the new car?

= [(0.2 × $10,000) + (0.8 × $18,000)] - $22,000

= $2000 + $14400 - $22000

= $16400 - $22000

= -$5600

c. What is the expected value of the used car?

= [(0.4 × $4000) + (0.6 ×$9000] - $12000

= $1600 + 5400 - $12000

= $7000 - $12000

= -$5000

d. What is the expected value of leasing the car?

= [(0.1 × -$2000) + (0.9 ×0)] - $8500

= -$200 - $8500

= -$8700

Answer:

Time of Death = 2 : 49 : 45 AM

Step-by-step explanation:

The formula for Newton's Law of Cooling is written as follows:

dT/dt = - K(T - Ts)

where,

dT = change in temperature

dt = time interval

K = cooling constant

T = Final Temperature of object

Ts = Surrounding Temperature

First, we will use the data of cooling of body from 28°C to 27°C to find the cooling constant of the body:

dT = 27°C - 28°C = -1°C

dt = 1 hr = 3600 s

K = ?

T = 27°C

Ts = 22°C

Therefore,

-1 °C/3600 s = - K(27 °C - 22 °C)

K = 1 °C/(3600 s)(5 °C)

K = 5.55 x 10⁻⁵ /s

Now, we use data for cooling of body from 37 °C to 28 °C to find the time of death:

dT = 28°C - 37°C = -5°C

dt = ?

K = 5.55 x 10⁻⁵ /s

T = 28°C

Ts = 22°C

Therefore,

- 5 °C/dt = - (5.55 x 10⁻⁵ /s)(28 °C - 22 °C)

dt = 5 °C/(5.55 x 10⁻⁵ /s)(6 °C)

dt = 1.5 x 10⁴ s

dt = 4.17 h = 4 h 10 min 15 s

Therefor,

Time of Death = 7 : 00 : 00 AM - 4 : 10 : 15

Time of Death = 2 : 49 : 45 AM