Write an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2

Answer:

Step-by-step explanation:

[(-2)²×3]÷[(-9)-5+2]

=(4*3)/[(-9)-5+2]

=12/(-12)

=-1

Answer:

Step-by-step explanation:

m = (y2 - y1)/(x2-x1)

m = (6-2)/(0-8)

m = 4/-8

m = -1/2

y = mx + b

(2) = (-1/2)(8) + b

2 = -4 + b

b = 6

equation of the line is:

y = (-1/2)x + 6

Answer:

-0.09

Step-by-step explanation:

Answer:

y= -3x +10

Step-by-step explanation:y = mx +b where

m is your slope rise/run and

b is the y intercept

If 8% of a number equals 30, 40% of that number 150.

The percentage of a given number is the fraction of that number divided by 100.

Let assume that the unknown number is (a).

i.e.

Making (a) the subject of the formula now;

Now, we are meant to determine the 40% of that unknown number (a)

Since (a) has been determined to be 375.

Then, 40% of 375 is calculated as:

Learn more about percentage here:

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Answer:

24

Step-by-step explanation:

1/2(24) = 12

and/or

24/2 = 12

Is this what you wanted?

Answer:

Answer:

Step-by-step explanation:

We have:

a) The revenue is:

b) x = 200, find R:

c) This is a quadratic function and the maximum value is obtained at vertex.

d) The max revenue is obtained when -0.2x + 100 at max:

Answer:

x = 63.34 degree

Step-by-step explanation:

2x-10 + x = 180 as al straight lines add up to 180 degrees

3x -10 = 180

+ 10        +10

3x = 190     add 10 to both sides  as shown to cancel left side

x = 190/3

x = 63.33334  degree to 5 dp

x = 63.34 degree to 2 dp.

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

Answer:

THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)

2IW= 200

I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30

-W TO IW=200

(30-W)W=200

W2 + 30W=200---------------TRANSPOSE -w2

+30w

w2-30w +200 = 0------------------- USE FACTORING

(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO

W- 20=0 W-10 =0

W=20 W=10

THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I

Iw =200 Iw=200

I(20) =200 I(10)

I(20)/20= 200/20 I(10)/10

=200/10

I=10

Answer:

refer to the attachment

Step-by-step explanation:

hope that helps

Answer: 13x because you can combine them together because they both have the same variable.

Answer:

done.

Step-by-step explanation:

yeah-ya..... right?

I beileve the anwser is A

Answer:

(3n+4)/4 = n-3

Step-by-step explanation:

n = original number

n = 16

The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

I think of a number.

Let the number be 'x'.

Then I multiply it by 3. Then the expression will be

⇒ 3x

Then I add 4. Then the expression will be

⇒ 3x + 4

Then I divide the answer by 4. Then the expression will be

⇒ (3x + 4) / 4

My final answer is 3 less than the number I thought of at the beginning. Then we have

(3x + 4) / 4 > 3

Simplify the equation, then the value x will be

(3x + 4) / 4 > 3

3x + 4 > 12

3x > 8

x > 8/3

The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.

More about the inequality link is given below.

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Answer:

yes it is a function

Step-by-step explanation:

reason why is if u do the virtical line text it shows that it is a function,

another explanation is it doesn't have two of the same x- values

If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.

If ZP is 120, then ZM and ZP will not add up to 90.

There are multiple contradicting statements within this problem, as noted above.

Hope this helps!

Options A and B are two contradict statements.

The four statement are given, we need to find the two contradict statements.

The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.

Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements

Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.

Therefore, options A and B are two contradict statements.

Learn more about an obtuse angle here:

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Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(g(4) - g(-5)) / (4 - -5)

g(4) = 4² + 5×4 + 1 = 37

g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1

4 - -5 = 4 + 5 = 9

(37 - 1)/9 = 36/9 = 4

the average change rate in that interval is 4 (or fully 4/1).

Answer:

-4 = 2

Step-by-step explanation:

Answer:

-4 = 2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

If x * 2 = x, and you use 1 as the insert for x, then you would be saying that 1 * 2 = 1, and that is incorrect.

Answer:

I assume the value is x² right from the qn.

With that

x² = x

if x = 1

then

1² = 1

hence the value is true.

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the logarithm.

Given That:

[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

We know that:

[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]

[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]

Therefore, we get:

[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]

[tex] \rm = \log( {b}^{3})[/tex]

As we know that:

[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]

Therefore, we get:

[tex] \rm = 3\log(b)[/tex]

Answer:

No

Brady is 5 cents short

Step-by-step explanation:

.75x3=$2.25

.40x2=0.80

$2.25+0.80=$3.05

Answer:

No

Step-by-step explanation:

3 brownies = $.75 * 3 = $2.25

2 cookies = $.40 * 2 = $.80

$2.25 + $.80 = $3.05, which is over $3

He is 5 cents short.

Hope this helped!

(and taxes of course)

Answer:

Step-by-step explanation:

10

Step-by-step explanation:

x + 5 = 2x - 5

x + 5 - x = 2x - 5 - x

5 = x - 5

5 + 5 = x

10 = x

Answer:

The value of X is 10

Step-by-step explanation:

X+5=2x-5(corresponding sides of an angle)

5+5=2x-x

10=x

So,x=10

Answer: -2 + 4i

Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.

Answer: (n^6 j^6)/(8h^5)

Step-by-step explanation:

Therefore:  n^6*j^6/8h^5

Answer:

x=5

Step-by-step explanation:

3(x-2)=9

3x-6=9

3x=9+6

=15

x=15÷3

=5