0.001 rewritten as a square or a cube

The answer will be 1/4

In order to find the simplest form of a fraction, we have to divide the numerator and the denominator by the same number.

[tex]\frac{24}{32}[/tex] is a fraction. Here, 24 is the numerator and 32 is the denominator.

24 and 32 both are multiples of 8. Therefore, we can divide both by 8

24 divided by 8 = 3

32 divided by 8 = 4

Therefore, the given fraction in the simplest form is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

3.

2*2=4

5*5=25

49=7*7

64=8"8

We are given expression

[tex]\frac{-8}{5n}[/tex]

we know that

this is rational expression

And any rational expression is undefined when it's denominator =0

so, for finding non-permissible values of n , we set denominator =0

and then we can solve for n

denominator is 5n

[tex]5n=0[/tex]

Divide both sides by 5

[tex]\frac{5n}{5} =\frac{0}{5}[/tex]

so, we get

[tex]n=0[/tex]

So, the non-permissible replacement for n in this expression is 0.........Answer

The correct answer is

[tex]n=0[/tex]

[tex] EXPLANATION [/tex]

This is testing your knowledge on domain of rational functions.

To avoid division by zero, the denominator of the rational function

[tex]\frac{-8}{5n}[/tex]

should not be equal to zero.

Therefore the non permissible number can be found by equating the whole denominator to zero. That is,

[tex]5n=0[/tex]

We can now solve for n, to obtain,

[tex]n=\frac{0}{5}=0[/tex]

Hence that number is

[tex]n=0[/tex]

All real number are solutions because this is distributive property to there can be infinitely many solutions.

2x+4=2(x+2)

2x+4=2x+4

-2x   -2x

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

4=4 (Which equals to 0=0)

The equation has infinietely many solutions.

Firstly find the common denominator (12) so for 2 to turn into 12 it needs to be multiplied by 6. Because of this, 8 also needs to be multiplied by the same amount so the first fraction would be 48/12.

The second fraction doesn't need to be changed so...

48/12 - 7/12 = 41/12.

(a) With a unit rate of 8, repeated (iterated) 72 times, we can simply multiply 8 by 72 to get the net change: 8 × 72 = 576 fish.

(b) For the unit rate (i.e. rate of change per time - minutes in this case) we can simply divide the total water pumped out by the total time it took to perform this. So: 48 ÷ 8 = 6 gallons/min.

Hope I could help you! :)

8×72= 576 fish

48/8= 6 gallons

For exercise a), f and g are the same function. So,

[tex] f(g(x)) = g(f(x)) = f(f(x)) = f\left(\dfrac{2}{x}\right) = \dfrac{2}{\frac{2}{x}} = x [/tex]

This means that f and g are inverse (i.e., f is the inverse of itself). In fact, if f(g(x)) = g(f(x)) = x, then f and g are inverse.

As for exercise b), you have

[tex] f(g(x)) = f(6x-1) = 6(6x-1)+1 = 36x-6+1 = 36x-5 [/tex]

[tex] g(f(x)) = g(6x+1) = 6(6x+1)-1 = 36x+6-1 = 36x+5 [/tex]

So, f and g are not inverse of each other.

11/8 = x / 3

cross multiply

8x = 11 * 3

8x = 33

x =33/8

x  = 4.125

x = 4.1 (round to nearest tenth)

Answer

B: 4.1 ft

ANSWER

[tex]\frac{3}{7}(-21x-49)= -9x- 21[/tex]

EXPLANATION

To expand

[tex]\frac{3}{7}(-21x-49)[/tex], we use the distributive property of multiplication over subtraction.

According to the distributive property of multiplication over subtraction, if we have any three real numbers,

[tex]a,b,\:and\:c[/tex].

Then;

[tex]a(b-c)=a\times b-a\times c[/tex]

Applying this property to the given expression, we obtain;

[tex]\frac{3}{7}(-21x-49)= \frac{3}{7}\times (-21x)- \frac{3}{7}\times (49)[/tex]

If we cancel out common factors we obtain;

[tex]\frac{3}{7}(-21x-49)= 3\times (-3x)- 3\times (7)[/tex]

If we simplify further, we obtain;

[tex]\frac{3}{7}(-21x-49)= -9x- 21[/tex]

I know this is not an answer but, I love your handwriting!

It is soooo much neater than mine!

- Laura <3

Answer:

2.077 x 10^-4

Step-by-step explanation:

Move decimal point over 4 spaces

The scientific notation for the given number is 20.77 × 10⁻⁵

A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10 is called the scientific notation.

Given that, express the number 0.0002077 in scientific notation.

0.0002077 = 20.77 / 100000

= 20.77 × 10⁻⁵

Hence, the scientific notation for the given number is  20.77 × 10⁻⁵

Learn more about scientific notation, click;

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-5, -4 -1, 3, 5,  if i am correct

Lildude216001,

In order to solve this question you an just order them from least to greatest.

Remember when dealing with negative numbers the one that is usually greater then the other number is shorter.

Therefore your answer is "-5, -4, -1, 3, and 5."

Hope this helps!

[tex]7(x+2)=7x-10\\\\7x+14=7x-10\\\\14=-10\\\\x\in\emptyset[/tex]

Answer: 30 feet per second

========================================

x = diameter, y = speed of water

y varies inversely with respect to x, so, y = k/x for some constant k

If x = 0.6 and y = 5 pair up, then y = k/x turns into 5 = k/0.6 which solves to k = 3 when you multiply both sides by 0.6

So the equation y = k/x turns into y = 3/x

Now plug in the diameter x = 0.1 to find the speed to be...

y = 3/x

y = 3/0.1

y = 30 feet per second

If you want each side it will equal to 18 in. 18*4=72

The graph for the line y=4/7 x -2 is added in the attachment.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the line is,

y=4/7 x -2

Comparing the given equation with the standard equation we get the slope of the line is 4/7 and the intercept is -2.

Plot the (0,-2) value of the y-intercept first. Then, add another point to the sloping plot by moving it up 4, to the right 7, and so forth. The point should be (2,7), and if you need to add another point, draw a line through it at (6,14).

Thus the graphs for the line y=4/7 x -2 are added in the attachment.

Learn more about the straight line here:

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Answer:

-1/12

Step-by-step explanation:

you jus gotta substract and jawnt uerme! i know you got dis wrong, dont bluff cutie...

Answer:

-1/12 Is the right answer for this.

Step-by-step explanation:

The answer would be 2.4 meters per second. To find this, you would divide the 50 meters by 21 seconds. It equals 2.380952, and rounds to 2.4m/s.

Answer:

2.4 meter per second

Step-by-step explanation:

A swimmer swam the 50-meter freestyle in a time of 21 seconds.

Since a swimmer swam in 21 seconds = 50 meters

To calculate his speed in 1 second we will divide the total distance by the total  time.

Therefore, he swam in 1 second =  [tex]\frac{50}{21}[/tex]

                                                     = 2.380952 rounded to 2.4 meter/sec

The speed of the swimmer is 2.4 meter per second.

Answer:  The correct option is

(C) x = 38  and  y = 104.

Step-by-step explanation:  We are given to find the values of the variables x and y from the figure.

We know that

if two angles make a linear pair, then the sum of their measures is 180°.

From the figure, we note that

the angles with measures y° and 76° makes a linear pair, so we have

[tex]y^\circ+76^\circ=180^\circ\\\\\Rightarrow y+76=180\\\\\Rightarrow y=180-76\\\\\Rightarrow y=104.[/tex]

Also, the angles with measures 2x° and y° makes a linear pair, so we have

[tex]2x^\circ+y^\circ=180^\circ\\\\\Rightarrow 2x+y=180\\\\\Rightarrow 2x=180-104\\\\\Rightarrow 2x=76\\\\\Rightarrow x=\dfrac{76}{2}\\\\\Rightarrow x=38.[/tex]

Thus, the required values the variables are x = 38 and y = 104.

Option (C) is CORRECT.

Given expression in exponential form : [tex]a^{\frac{4}{9} }[/tex].

We need to convert it into radical form.

Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.

We can apply following rule:

[tex](a)^{\frac{m}{n}}= \sqrt[n]{x^m}[/tex].

Therefore,

[tex]a^{\frac{4}{9} }= \sqrt[9]{a^4}[/tex].

Therefore, correct option is : D. ninth root of a to the fourth power.

Answer:

is it 1.50? I got it wrong tho

When the price of bus tickets is raised, Alphonso's new budget constraint will be affected and he will be able to purchase fewer bus tickets. The opportunity cost of bus tickets increases as Alphonso has to give up more burgers to purchase bus tickets.

When the price of bus tickets is raised to $1 per trip, Alphonso's new budget constraint will be affected. The new budget line will have a steeper slope, indicating that he can purchase fewer bus tickets for the same amount of money. The opportunity cost of bus tickets increases because now Alphonso has to give up more burgers in order to purchase bus tickets.

Answer:

Step-by-step explanation:

The answer would me -975 :)

3(x+4)

Three times -> 3()

the sum of a number and four x+4

3(x+4)

Answer:

3(x+4)

D is correct

Step-by-step explanation:

So, since the roots are -6, -2, 1, and 3, The graph MUST cross the X axis at these points.

The Top left graph is not correct, there is no root at 3

The top right graph is not correct ,no root at -6, or -2

The bottom Right Graph is incorrect, no root at 3 or 1

The Bottom Left graph is correct, since all roots are shown.

Answer:

bottom left

Step-by-step explanation:

Solution

Here we have to use compound interest formula for half year.

6 months = 1/2 years

Amount = [tex]P(1 + \frac{r/2}{100})^2n[/tex]

R = Rate

P = Principle

n = number of years

Here P = 6000, r/2 = 3.5/2 = 1.75, n = 1/2

Plug in the given values into the formula, we get    

A  = 6000(1 + 1.75/100)^2(1/2)

A = 6000(1 + 0.0175)^1

A = 6000(1.0175)

A = $6105

Compound interest = A - P

= $6105 - $6000

Interest = $105

Thank you :)

The answer should be D, divide by 6.78.

Combine based on same variables by adding or subtracting.

Hope that helps :)