All categories

3 years ago

X^3/x^1/6=x^a value of a in simplest form?

Mathematics

1 answer:

Afina-wow [57]3 years ago

5 0

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

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If you need to know the other options I'll tell you just ask :)

vazorg [7]

Answer:

The slope is $-50$ . The slope means that the amount of money in the account is decreasing at a rate of $ $50$ every week.

Step-by-step explanation:

Given coordinates are $(4,2400)\ and\ (12,2000)$

We need to find the slope of the graph, and explain what does slope means for this graph.

The formula for computing slope $(m)$ is

$m=\frac{y_2-y_1}{x_2-x_1}$

Where $(x_1.y_1)$ and $(x_2,y_2)$ are the point on the line.

Let us plug points $(4,2400)\ and\ (12,2000)$ in the equation

$m=\frac{2000-2400}{12-4}\\ \\m=\frac{-400}{8}\\\\m=-50$

Here, the negative sign of slope $(m)$ represents that the value of the function (budget) is decreasing, with an increase in time (week).

The slope is $-50$ . The slope means that the amount of money in the account is decreasing at a rate of $ $50$ every week.

6 0

3 years ago

Is 7/18 rational or irrational

kramer

Answer:Rational

Step-by-step explanation: It is rational because it is repeating but not random like pi.

4 0

3 years ago

ANYONE PLEASE HELP!!

lapo4ka [179]

Answer:

Step-by-step explanation:

Corresponding angles are angles that you can follow down the transversal and they will land in the same spot on the other parallel line. Look at angle 8. It is the bottom left angle in the group of 4 angles around it. If you slide it to the left it would land right on top of angle 4 which is also in the bottom left of its group of 4 angles.

You can do the same thing taking angle 8 down to angle 12.

4 0

1 year ago

Read 2 more answers

340 students went to the first school dance, the last school dance 306 students attended. What is the percent of change between

Fofino [41]

Answer:

10.59%

Step-by-step explanation:

percentage of change is given by

{(old number - new number)/old number} * 100

_________________________

given

no. of student went to the first school dance = 340

no. of student went to the last school dance = 306

Percentage of change between two dance

= ((no. of student went to the first school dance - no. of student went to the last school dance)/ no. of student went to the fist school dance)*100

= (340 - 306)/340 *100

= (36/340 )*100 = 10.59%

The percent of change between the two dances 10.59%.

4 0

3 years ago

The side length of a square S can be determined by the formula S equals the square root of a where a represents the area of the

kakasveta [241]

Answer:the side length of a square with the area 0.09 square meter is 0.3 meter.

Step-by-step explanation:

The side length of a square S can be determined by the formula S equals the square root of a where a represents the area of the square. It means that

S = √a

Therefore, the side length of a square with the area 0.09 square meter would be

S = √0.09 = 0.3 meter

7 0

3 years ago