Simplify 12 to the power of 3 over 12 to the power of 7

A). 12 to the power of 4
B). 12 to the power of 10
C). 1 over 12 to the power of 4
D). 1 over 12 to the power of -4

Answer:

Step-by-step explanation:

HI there!

From the question;

Principal (p) = 300

Annual rate (r) = 3%

Time (t) = 4 yrs

Now;

Interest (I) = [tex]\frac{p*t*r}{100}[/tex]

             I = [tex]\frac{300*4*3}{100}[/tex]

             I = [tex]\frac{3600}{100}[/tex]

Therefore the interest earned is 36.

Again;

New balance (A) = principal + interest

                            = 300+36

Therefore, the new balance is 336.

Hope it helps!

Answer:

EZ answer 9+10=21

Step-by-step explanation:

Using the Zscore principle, the probability of obtaining a score which will be 115 or higher is 0.15866

Given the Parameters :

Zscore = (X - μ) ÷ σ

Zscore = (115 - 100) ÷ 15

Zscore = 1

Using a normal distribution probability ;

P(Z ≥ 1) = 1 - P(Z ≤ 1)

P(Z ≥ 1) = 1 - 0.84134

P(Z ≥ 1) = 0.15866

Therefore, the probability is 0.15866

Learn more :https://brainly.com/question/8165716

Answer:

- 4.5, - 0.5, 0.7, 2.3, 3.0

The ratio equivalent to the ratio is 10:3. Therefore, option A is the correct answer.

The given ratio is 120:36.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Equivalent ratios are the ratios that are the same when we compare them.

120:36

= 20:6

= 10:3

The ratio equivalent to the ratio is 10:3. Therefore, option A is the correct answer.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

Which of the following ratios is equivalent to the ratio of 120 to 36?

20 To 6, 12 To 3, 18 To 60, 84 To 1

Answer:

Look down :)

Step-by-step explanation:

The two equations must equal 180 degrees. So what you could do it 4x + (2x + 12) = 180

then solve. If this isnt enough information just comment :)

If no I hope this helped

For the two lanes to be parallel, the value of x must be 28 degrees,

The given information states that the same-side interior angles are 4x degrees and (2x + 12) degrees.

For parallel lines, the sum of these angles must equal to 180 degrees.

As per the concept of linear sum,

4x + (2x +12) = 180

Adding the like terms, we get:

(4x + 2x) + 12 = 180

Simplifying, we get:

6x + 12 = 180

Subtract 12 to both sides, and we get:

6x = 180 - 12

Simplifying, we get:

6x = 168

x = 28

Therefore, the value of x is 28 degrees.

To learn more about the parallel lines;

brainly.com/question/16701300

#SPJ3

Answer:

44

Step-by-step explanation:

18 * 2.5 = 44

By doing cross multiply, you'll get

6(p-1) = 8(p+10)

Expand

6p-6 = 8p+80

Arrange

-80-6 = 8p-6p

-86 = 2p

Divide by 2 to find p

-43 = p

Answer:

p =

Step-by-step explanation:

First, we can start by cross multiplying.

p−1p+10=86

(p−1)*(6)=8*(p+10)

6p−6=8p+80

After some simplification, we get:

−2p=86

Then we find out that p = -43

If we put it in, and then simplify that, we will get 8/6

If this helped you, consider marking this as brainliest :)

Step-by-step explanation:

The value of g is already given. Replace g by 1 and find the value of x which is a negative two. After that, substitute and find that g is indeed equal to 1.

thankyou

Answer:

always the same

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:15

Step-by-step explanation:

Answer:

[tex]x =[/tex] [tex]-30[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.

Answer:

women : men

5. : 4

x. : 2400

x = 3000

i) 3000 + 2400= 5400

ii) 3000

iii) 3000 - ( 2400+400) = 200

Answer:

$14.6

Step-by-step explanation: because adding how all they are in total.

Answer:

dy/dx = - (y/x)^4

Step-by-step explanation:

We are given the equation:

[tex] \displaystyle \large{ \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } = {a}^{3} }[/tex]

Recall important differential formulas such as:

[tex] \displaystyle \large{ \frac{d}{dx} (f(x) + g(x)) = \frac{d}{dx} f(x) + \frac{d}{dx} g(x)} \\ \displaystyle \large{ \frac{d}{dx} k = 0 \: \: \tt(k \: \: is \: \: a \: \: constant.)}[/tex]

Above is a basic property of differential. Looking at the equation above, differentiate both sides with respect to x. (dy/dx)

[tex] \displaystyle \large{ \frac{d}{dx}( \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } )= \frac{d}{dx} {a}^{3} }[/tex]

Apply the distribution property in.

[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = \frac{d}{dx} {a}^{3} }[/tex]

We treat x^3 and y^3 as function to one another, this type of differential will be called implicit once another variable of function is involved f(x,y).

But we treat a^3 as a constant so we just put 0.

[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]

Recall the quotient rules for the numerator = 1.

[tex] \displaystyle \large{ \frac{d}{dx} (\frac{1}{f(x)}) = -\frac{ \frac{d}{dx} (f(x))}{ {(f(x))}^{2} } }[/tex]

Thus:

[tex] \displaystyle \large{ - \frac{ \frac{d}{dy} ( {x}^{3} )}{ ({x}^{3})^{2} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 } \\ \displaystyle \large{- \frac{ 3 {x}^{2} }{ {x}^{6} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]

Make sure to recall power rules for differential and exponent laws.

From 3x^2 / x^6.

[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]

Now what do we do with 1/y^3? We just differentiate it normally but we multiply with dy/dx once we differentiate the y function.

[tex] \displaystyle \large{- \frac{ 3 }{ {x}^{4} } -\frac{ \frac{d}{dx}( {y}^{3}) }{ ({y}^{3})^{2} } = 0 } \\ \displaystyle \large{ -\frac{ 3 }{ {x}^{4} } - \frac{ 3 {y}^{2} }{ {y}^{6}} = 0 } \\ \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 }[/tex]

Solve for dy/dx, add both sides by 3/x^4.

[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{3}{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 + \frac{3}{ {x}^{4} } } \\ \displaystyle \large{ - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = \frac{3}{ {x}^{4} } } \\ [/tex]

Divide both sides by - 3/y^4.

[tex] \displaystyle \large{ \frac{- \frac{3}{ {y}^{4} } \frac{dy}{dx} }{ - \frac{3}{ {y}^{4} } } = \frac{ \frac{3}{ {x}^{4} } }{ - \frac{3}{ {y}^{4} } } } \\ \displaystyle \large{ \frac{dy}{dx} = \frac{3}{ {x}^{4} } \times (-\frac{ {y}^{4} }{3} )} \\ \displaystyle \large{ \frac{dy}{dx} = \frac{1}{ {x}^{4} } \times (- \frac{ {y}^{4} }{1}) } \\ \displaystyle \large{ \frac{dy}{dx} = - \frac{ {y}^{4} }{ {x}^{4} } } \\ \displaystyle \large{ \frac{dy}{dx} = - ( { \frac{y}{x} })^{4}}[/tex]

Answer:

all three pairs of sides are congruent

Answer:

[tex] - 2 {x}^{9} [/tex]

Answer:

[tex]y = 4x - 5[/tex]

Step-by-step explanation:

rewrite the equation

[tex]x + 4y - 8 = 0 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2[/tex]

perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept

[tex]3 = 4(2) + b \\ 3 = 8 + b \\ b = - 5[/tex]

Answer:

i think its 62

Step-by-step explanation:

that's my best guess I'm so sorry if its wrong I tried

Answer:

gffghjjdfdgfgjgfdgj

Step-by-step explanation:

Step-by-step explanation:

(3/4)÷4= 3/16

each will get 3/16 of the cake

Answer:

4%

Step-by-step explanation:

Gain percentage = 1030/25750 x 100 = 4%

Answer:

$1,030, 4%

Step-by-step explanation:

Aman spent $25,750 on a computer and accessory packs (totally worth it). He sold it for $26,780. So let's say Aman is at 0 before he bought this. He spent $25,750, so we subtract that from 0 to get -25,750. Then he sells it all for $26,780 (again totally worth it for the person buying). So we add 26,780 to the total.

-25,750 + 26,780 = 1,030

So Aman made a profit of $1,030 (now he can buy a REASONABLY priced MacBook Air or something)

So to find the percentage that he gained, we divide 1,030 by his original spending price, namely 25,750

1,030/25,750 = 0.04

Convert that to percentage form, you get 4%

Also, it's questions like this that make me question whether the people who write these questions into the textbooks should be talked to lol.

The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.

The function g(x) is given as:

g(x) = -2x - 5

A linear equation is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept.

So, the slope of the function g(x) is -2 and the y-intercept is -5

For the function f(x), the slope is calculated using:

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

Using the points on the graph, we have:

m =(3 - 1)/(1 - 0)

Evaluate

m = 2

The line of the function f(x) cross the y-axis at (0,3);

So, its y-intercept is 3

Hence, both functions have different slopes and different y-intercepts

Read more about linear functions at:

https://brainly.com/question/14323743

Answer:

x + y + z - 3

Step-by-step explanation:

Basically, putting a negative sign before parentheses signifies that you want to flip the sign of everything within the parentheses. This can also be explained by the negative sign representing -1.

Knowing this, we can just multiply everything within by -1.

-y -> y

-z -> z

3 -> -3

We now have y + z - 3, just put this into the original expression and we have our final answer of:

x + y + z - 3

:)

Answer:

b, d, c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

f(x)=x²-x

#CarryOnLearning

hopeithelps,,thanks