please answer this for me!!​

Given that (3^-2×4^-2)^-3 = 12^x

⇛ [(3×4)^-2]^-3 = 12^x

Since a^m × b^m = (ab)^m

⇛(12^-2)^-3 = 12^x

⇛ 12^(-2×-3) = 12^x

Since (a^m)^n = a^mn

⇛ 12^6= 12^x

⇛6 = x

Since the bases are equal then exponents must be equal

Therefore,x = 6

Additional comment:-

If the bases are equal then exponents must be equal.

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Answer:

x - 2y = 0

Step-by-step explanation:

The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0​, with only the constant (3) being different.  Solving this equation for y to find the slope, we get:

x + 3 = 2y, or y = (1/2)x + 3/2.  The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2.  This result may be rewritten as 2y = x or x - 2y = 0.

Answer:

She could out 20 necklaces and 20 bracelets on display and she would make $600.

Step-by-step explanation:

$18 necklaces x 20= $360

$12 bracelets x 20 = $240

totalling $600

Answer:

da_mn the struggle is real

Step-by-step explanation:

Answer:

P = $9948.99

Step-by-step explanation:

Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034.  Find the principal amount P.

Solving A = P(1 + r)^t for P, we get:

         $13,000           $13,000

P = -------------------- = --------------- = $9948.99

      (1 + 0.034)^8         1.3067

Lauren needs to invest $9948.99 for this purpose.

Answer:

In math, order of operations helps you find the correct value for an expression. Order of operations matters in daily life.

Step-by-step explanation:

For example

Engineering

Cooking

Chemistry

Are some explanations of where you may need this skill in real life.

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

Answer:

b

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths of a right-angled triangle :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".

so, we have here

c² = 1² + 2² = 1 + 4 = 5

c = sqrt(5) = 2.236067977...

so, answer option c is too big (values bigger than 3).

answer options d and e are too small (values smaller than 2).

a

9/4 = 2.25

10/4 = 2.5

this is also too big .

that leaves us with b

17/8 = 2.125

18/8 = 9/4 = 2.25

that is correct

Answer: 35.113

Hope this helps!

Answer:

[tex]3 \frac{13}{44} [/tex]

Step-by-step explanation:

First let's write our equation

[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]

Now let's make them improper fractions

[tex] \frac{139}{10} \div \frac{7}{2} [/tex]

Now since we're dividing we with fractions we do the reciprocal and multiply

[tex] \frac{139}{10} \times \frac{2}{7} [/tex]

or

[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]

Answer:

y= 8

Step-by-step explanation:

y= -x +5

To find the value of y when x= -3, substitute -3 into x and solve the equation.

When x= -3,

y= -(-3) +5

y= 3 +5

y= 8

The scuba driver descends at a maximum rate of r ≤ -13.84

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.

The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:

2.5r - 13.6 ≤ -48.2

2.5r ≤ - 34.6

r ≤ -13.84

Hence the scuba driver descends at a maximum rate of r ≤ -13.84

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Answer:

The answer is B

Answer:

the pic wont load for me

Step-by-step explanation:

Answer:   3^4 · 3^-9 = 3^4 · 1/3^9

Step-by-step explanation:

Answer:

To divide two fractions, you must make one fraction the reciprocal. Then, multiply both numerators and both denominators.

EXAMPLE:

3/4 x 4/5

Take reciprocal for 4/5

3/4 x 5/4

Multiply numerators

3x5=15

Multiply denominators

4x4=16

ANSWER:

15/16

Answer:  you can afford to buy both

as $1.75+$1.25 adds up to $3 leaving you $2 to spare.

Step-by-step explanation-

Mystery book: 25% of 7.00= 1.75 ($1.75)

Science Fiction: 20% of  6.25=1.25 ($1.25)

Answer:

You can afford the science fiction book.

Step-by-step explanation:

How to get the amount for the 25% coupon:

$7.00 × 0.25 = $1.75

To get the price of the mystery book using the coupon:

$7.00 - $1.75 = $5.25

The mystery book will cost $5.25.

How to get the price of the 20% coupon:

$6.25 × 0.20 = $1.25

To get the price of the science fiction book using the coupon:

$6.25 - 1.25 = $5.00

The science fiction book will cost $5.00.

You can afford to buy the science fiction book because you have $5.00 and that is the price of the book.  The mystery book costs $5.25 and you only have $5, which means that you don't have enough money to buy it.

Step-by-step explanation:

we know,

sum of all angles on a straight line is 180°.

so according to it,

x + 2x + 3x = 180

6x = 180

x = 180/6 = 30

x = 30°

therefore, value of x is 30°.

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Answer:

See below, please.

Step-by-step explanation:

x+2x+3x=180

So, 6x=180

x=30

Answer:

I think the answer will be A

Answer:840 km/h divided by 60 = 14km/min

3 x 60 = 180

180 + 20 = 200 minutes total

14 x 200 = 2800km

that is a really awkward way of doing it though. really you can just do:

840 x (10/3) = 2800km

Step-by-step explanation:

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

4^2+ 4^2=c

16+16=32

[tex]\sqrt{32}[/tex]

=5.65685424949

Answer:

quadratic

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Let x represent the number of Pi Day T-shirts sold.

They are selling Pi Day T-shirts for $7.50 each, So to raise $500:

7.5x > 500

Dividing through by 7.5:

7.5x / 7.5 > 500 / 7.5

x > 66.7

Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

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Step-by-step explanation:

x = +4

y = +1

it uses a rigid transition formation

Answer:

Step-by-step explanation:

y+2 = -12(x-4)

y=-12x+48-2

y = -12x+46

Draw a graph with the points (1,34) and (3,10)