Use the Greatest common factor and the distributive property to write equivalent expressions in factored form 24f + 56g *

[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]

The above expression can be written as :

[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]

[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]

As Bases are same, we can add the powers with same base

[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]

[tex]\implies \sf{10^{9}}}}[/tex]

[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]

The above expression can be written as :

[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]

[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]

[tex]\implies\sf{10^{(5 - 11)}}[/tex]

[tex]\implies\sf{10^{-6}}[/tex]

[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]

[tex]\implies\sf{10^{(-5 + 10)}}[/tex]

[tex]\implies\sf{10^{5}}[/tex]

[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]

[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]

[tex]\implies \sf{(20)(10^{11})}[/tex]

[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]

[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]

Answer:

I quite strongly believe that the first option is the correct one since the following applies,

19/20

20*5=100

and

19*5=95

which in the end is equivalent to 95/100

YS = 2/3 × ( YV ) *.&.* SV = 1/3 × ( YV )

_____________________________

YS = 2/3 × ( YV )

4x + 14 = 2/3 × ( YV )

Multiply both sides by 3/2

( 4x + 14 ) × 3/2 = ( YV ) × 2/3 × 3/2

YV = 6x + 21 ( ☆ )

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SV = 1/3 × ( YV )

1 + 3x = 1/3 × ( YV )

Multiply both sides by 3

( 1 + 3x ) × 3 = ( YV ) × 1/3 × 3

YV = 9x + 3 ( ♡ )

_____________________________

YV = YV

( ☆ ) = ( ♡ )

6x + 21 = 9x + 3

Subtract both sides 3

6x + 21 - 3 = 9x + 3 - 3

6x + 18 = 9x

Subtract both sides 6x

6x - 6x + 18 = 9x - 6x

18 = 3x

Divide both sides by 3

18 ÷ 3 = 3x ÷ 3

x = 6

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YV = 6x + 21 = 9x + 3

YV = 6(6) + 21 = 9(6) + 3

YV = 57

Answer:

8

Step-by-step explanation:

If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.

Answer:

1/8*1/3^3

1/8*1/27

1/216

Step-by-step explanation:

just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .

Answer: 343

hope this helps

(A) delta h(t) = 32

Step-by-step explanation:

Average rate of change delta h(t) is given by

[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]

at t = 0, h(0) = 80

at t = 2, h(2) = -16(4) + 64(2) + 80 = 144

Plugging in the numbers

delta h(t) = (144 - 80)/(2 - 0)

= 32

Answer:

7064

Step-by-step explanation:

Answer:260000

Step-by-step explanation:

Answer:

if the 'a base' is 6.5 & the height is 9 & 'b base' is 18.5, the answer is a = 112.5 cm^3

Answer:

4

Step-by-step explanation:

1+1+1+1=4

Answer:

wow, hardest question I've ever answered! It's either 4 or 22, I can't decide

Step-by-step explanation:

Answer:

take 72 degree as reference angle

using cos rule

cos 72=b/h

0.30=6/x

0.30x=6

x=6/0.30

x=20

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Step-by-step explanation:

Given :-

And we need to find the slope intercept form of the line . The slope intercept form of a line is y = mx + c , where m is the slope and c is the y intercept. Substitute respective values ,

Solution 1 :-

[tex]:\implies[/tex] y = mx + c

[tex]:\implies[/tex] y = 1/4 x + 4

[tex]:\implies[/tex] 4y = x + 16

[tex]:\implies[/tex] x - 4y + 16 = 0

Solution 2 :-

[tex]:\implies[/tex] y - 5 = -4( x +1)

[tex]:\implies[/tex] y -5 = -4x -4

[tex]:\implies[/tex] y = -4x +1

9514 1404 393

Answer:

  21 yards

Step-by-step explanation:

The area of a quadrilateral with diagonals that are right angles to each other is given by ...

  A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals

  493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information

Dividing by the coefficient of BD, we have ...

  (2)(493.5 yd²)/(47 yd) = BD = 21 yd

Answer:

r1 is given by the formula an=a1r.n-1

Step-by-step explanation:

Answer:

a1 = 2

r1 = 2

yayyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

Vincent Van Gogh

Step-by-step explanation:

He was the artist who cut off his ear in 1888 in December I think...

I hope this helped :))

Answer:

arc AC = 202°

Step-by-step explanation:

Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.

Thus:

m<P = ½(arc AC - arc CB)

Substitute

78° = ½(arc AC - 46°)

Multiply both sides by 2

2*78 = arc AC - 46

156 = arc AC - 46

Add 46 to both sides

156 + 46 = arc AC

202° = arc AC

arc AC = 202°

Answer:

Cellular respiration is the process responsible for converting chemical energy, and the reactants/products involved in cellular respiration are oxygen, glucose (sugar), carbon dioxide, and water. While the exact steps involved in cellular respiration may vary from species to species, all living organisms perform some type of cellular respiration.

Step-by-step explanation:

9514 1404 393

Answer:

  A  x = 15

Step-by-step explanation:

Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.

The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.

  (4x +4)° +26° = 90°

  4x = 60 . . . . . . . . . . . . divide by °, subtract 30

  x = 15 . . . . . . . . . . divide by 4

Answer: give more info

Step-by-step explanation: i think this deserves a brainlyest

Answer:

8.50

Step-by-step explanation: