Which expression is equivalent to (3a)-2?
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3a2
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Answer:50000000000000000000000000000000000000000000000000000

Answer:

15 with a remainder of 20

Step-by-step explanation:

hope it helps :)

Answer:

168 and the remainder is 7

Step-by-step explanation:

if is wrong i'm sorry

Answer:

6

Step-by-step explanation:

When you need to estimate, if the number is .4 or below, bring it down (1.4 will now be 1.)

This goes for both 1.4

so, 1 + 1.

Next, you have 4.1 (which is also below .5, so .4 or below.)

It is 1 + 1 + 4.

That is 6. Hope this helps a bit ^^ :>

Answer:

(see explanation)

Step-by-step explanation:

Rounding to whole numbers,

1.4 rounds to 1

4.1 rounds to 4.

1+1+4 = 6

However, if you're rounding to the nearest 0.5,

1.4 rounds to 1.5

4.1 rounds to 4.0

1.5 + 1.5 + 4.0 = 7

The answer is 3/16f-12/8g

Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004

Using the relation ::

The mean, μ = np = (162 × 19) = 3078

The standard deviation, σ = 28 × √19 = 122.049

The Zscore :

Zscore = (3401 - 3078) ÷ (122.049)

Zscore = 2.65

Hence,

P(Z > 2.65) = 1 - P(Z < 2.65)

Using a normal distribution table :

P(Z > 2.65) = 1 - 0.9959

P(Z > 2.65) = 0.004

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Answer:  Parallelogram

Step-by-step explanation:

Yes , a parelogram will come out ; and it can be proved by the Pythagorean theorem by completing the parallelogram to a rectangle

Answer:

x = 6

Step-by-step explanation:

i wouldnt know since i dont like coffee

Answer:18

Step-by-step explanation:

6 : 6,12,18

9: 9,18

Hi there!  

»»————-　★　————-««

I believe your answer is:  

LCM (9,6): 18

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Multiples of 6: }6,12,\textbf{18},24\\\\\text{Multiples of 9: } 9,\textbf{18}, 27, 36\\\\\\\text{Since 18 is the first common multiple that appears, it is the LCM.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Mean = 52  MAD = 47.3

Step-by-step explanation:

mean  = 50 + 100+ 75 + 80 + 40 + 60+ 50+ 20 +25 +30 +42  / amount of data = 572 / 11 = 52    MAD = rearrange numbers = 100+ 80+75+ 60 + 50 + 50+ 42 + 40+30+ 25+20 = 25 + 5 +15+10+8+2+10+5+5 = 85  / amount of data = 85/9= 9.44 then distance on number line each way = 9.44/2 = 4.72  = MAD =52-4.72 = 47.28

The mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.

Mean is the average number of the given terms and can be calculated as the ratio of the sum of the terms to the total number of terms.

mean = sum of the terms / total number of terms

MAD refers to the Mean absolute deviation which is the average distance between each data and the mean.

MAD =  [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]

mean = sum of the terms / total number of terms

[tex]= \frac{50 + 100 + 75 + 80 + 40 + 60 + 50+ 20+ 25+ 30+ 42 }{11}[/tex]

[tex]=\frac{572}{11}[/tex]

= 52

Mean = 52

MAD =  [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]

         =  2+ 48 + 23 +28+ 12+8+2+32+27+22+10 / 11

         =  214 / 11

Mean absolute deviation = 19.45

Therefore, the mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.

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Answer:

Step-by-step explanation:

Answer:

18 miles

Step-by-step explanation:

Let

According to Question ,

Answer:

Step-by-step explanation:

A(0,4)

B(6,-4)

C(-2,-8)

just multiply every point by 2

x-2/2=3x+8/4

x-1=3x+2

-x. -x

-1=2x+2

-2. -2

-3=2x

÷2. ÷2

-3/2=x

Answer:

2700 square feet

Step-by-step explanation:

5+4=9x300=2700

Answer:

2

Step-by-step explanation:

whatever number to the zero power equals 1

for example

192 to the zero power equals 1

7,000332 to the zero power equals 1

x to the zero power equals 1

so 1+1+1+1=4

(4)^1/2

2

i dk who made that rule its a little confusing but whatever

Answer:

Step-by-step explanation:

I think it is a strangely worded question as they only refer to the larger gear turning.

I believe that this is what they are going for.

Number of teeth passing in each revolution

The Numbers match when the large gear turns two times as the smaller gear turns three times.

The equation that models the situation is f(t) = 10 + 9t.

The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.

He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.

let

f(t) = number of garage roofs the carpenter shingles

t = time in days.

If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.

To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:

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Answer:

Shorter leg = 2.5 ft.

Longer leg = 6.5 ft.

Step-by-step explanation:

a^2 + b^2 = c^2

Because the hypotenuse = 7 ft, a^2 + b^2 = 49

To represent the two legs, we can use x and x+4.

x^2 + (x+4)^2 = 49

Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.

Then, using the quadratic formula, we find that x = 2.5.

Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.

Answer: its either c or b

Step-by-step explanation:

Answer:

Well, each baseball card $1.60.

Step-by-step explanation:

Since, you may just divide the amount of cards to the amount of money required.

9514 1404 393

Answer:

  y = 2/3x -25/3

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx +b . . . . . . for slope m and y-intercept b

Solving for b gives ...

  b = y -mx

Using the given values for x, y, and m, we find the intercept to be ...

  b = -3 -2/3(8) = (-9 -16)/3 = -25/3

Then the equation of the line is ...

  y = 2/3x -25/3

Answer:

1.848 × 10^-2

Step-by-step explanation:

0.006 = 6 × 10^-3

3.08 = 3.08 × 10^0 (10^0 is equal to 1)

(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2

Answer:

5.22m

Step-by-step explanation:

Rearrange the formula - volume = π × r² × h:

h = volume ÷ (π × r²)

Plug in the numbers:

h = 4.1 ÷ (π × 0.5²)

h = 5.22028... ≈ 5.22m

Hope this helps!

Answer:

No

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

------------------

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

8

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Answer:

0.5

Step-by-step explanation:

[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]

[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]

[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]

[tex] \frac{1}{ 2} [/tex]

Answer:

A The ratio of the areas is the square of the ratio of the side lengths.

Step-by-step explanation:

10  x 3.5 = 35 and would be the same size each

35 x 35 = 1225

Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49

Therefore just from doing this we can find easily by referring back to ratio above shown.

D IS NOT TRUE This means the ratio of the areas (1225) is the square root of the ratio (sqrt1225=35) of the side lengths (35:35) is not true

sqrt 1225 is 35 and becomes a square root of the area

Where matching this to ratio of sides is not true as 35:35= 1:1 and the ratio to the sides are not the same as ratio of two areas. But when we square we get the answer right.

when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35

We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-

1225/49 = 25 same   here we have the area same ratio as

100/4 = 25 same

10:35 = 3.5^2  + 3.5^2 =12.50 + 12.50 = 25

A IS TRUE. as when we square the ratio 1=3.5 and add them together 1=3.5^2 +3.5^2 we get answer = 25

Answer:

A. The ratio of the areas is the square of the ratio of the side lengths. Is correct.

Hope this helps!

Answer:

h= 17.67 cm

Step-by-step explanation:

We have,

h=x

b=16 cm

p=7.5cm

Using Pythagoras Theorem,

h^2=p^2+b^2

h=√(7.5^2+16^2)

h=√(56.25+256)

h=√312.25

h=17.6705970471 cm

The constant rate of gas consumption gives an equal number of miles per

gallon of gas.

The number of miles per gallon Maria drove is 23.5 miles per gallon

Reasons:

The known information are;

Initial volume of gas in the tank = The tank was filled up

The distance in miles Maria drove = 329

The number of gallons with which Maria filled the tank = 14 gallons

Number of miles driven on each gallon = The same number of miles

Required:

The number of driven per gallon

Solution:

The number of miles driven per gallon is therefore;

[tex]Miles \ per \ gallon = \dfrac{329 \ miles}{14 \ gallons} = 23.5[/tex]

Therefore, Maria drove 23.5 miles per gallon of gas

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