How can it be that 1^1 = 1 and 1^0 = 1, but 0^1 = 0? Can you explain it?

Answer: B

Step-by-step explanation:

Answer:

k=16

Step-by-step explanation:

To solve this, we can isolate k.

40+k=56.

We can do this by subracting 40 from both sides.

40+k-40=k

56-40=16

k=16

First isolate or get k by itself by subtracting 40 from both sides.

That leaves us with k = 16.

To check our answer, substitute 16 back into the equation.

So we have 40 + (16) = 56 or 56 = 56.

Answer:

The sides are 3 and 9

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + (3x)^2 = (3 sqrt(10))^2

x^2 + 9x^2 = 9*10

10x^2 = 90

Divide each side by 10

x^2 = 90/10

x^2 =9

Take the square root of each side

x = sqrt(9)

x = 3

The sides are x=3  and 3x = 3(3) = 9

Answer: x=10

Step-by-step explanation:

Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10

Answer:

Quotient rules

Derivative rule

Negative exponents

hope this helps

Answer:

576 x 4 + 1152 x 3 + 864 x 2 + 288 x + 36

Step-by-step explanation:

The simplification of the given equation is [tex]-24x^2 -24x -6[/tex]

Given that,

[tex]= (-6x - 3) \times (4x + 2)\\\\= -24x^2 -12x - 12x -6\\\\= -24x^2 -24x -6[/tex]

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Answer:

The solution of the given inequality  n < 5

Step-by-step explanation:

Explanation:-

Given inequality

                     [tex]\frac{1}{4} (8 n -12 ) < n +2[/tex]

Step(i):-

 Cross multiplication '4' we get

                    8 n - 12 < 4 ( n +2)

                    8 n - 12 < 4 n + 4×2

                    8 n - 12 < 4 n +8

      Subtracting  '4 n ' on both sides, we get

                 8 n - 4 n - 12 < 4 n - 4 n +8

                 4 n - 12  <  8

Step(ii):-

Adding ' 12 ' on both sides , we get

                4 n -12 + 12 < 8 + 12

                               4 n < 20

Dividing "4' on both sides , we get

                                 n < 5

The solution is n < 5

Conclusion:-

The solution of the given inequality  n < 5

Answer:

answer is A.

Step-by-step explanation:

divide price by amount of kg to see how much it cost per kg. Find the lowest answer by doing this to all answers. Don't forget to round to the nearest cent!

Answer:

x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

Step-by-step explanation:

Solve for x:

-8 + x^2 + (x^2 - 8)^2 = 20

Expand out terms of the left hand side:

x^4 - 15 x^2 + 56 = 20

Subtract 20 from both sides:

x^4 - 15 x^2 + 36 = 0

Substitute y = x^2:

y^2 - 15 y + 36 = 0

The left hand side factors into a product with two terms:

(y - 12) (y - 3) = 0

Split into two equations:

y - 12 = 0 or y - 3 = 0

Add 12 to both sides:

y = 12 or y - 3 = 0

Substitute back for y = x^2:

x^2 = 12 or y - 3 = 0

Take the square root of both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0

Add 3 to both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3

Substitute back for y = x^2:

x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3

Take the square root of both sides:

Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

The possible values of x that satisfy the equation are

x = ±√3 and x = ±2√3.

Here, we have,

To find a value of x that is a solution to the equation, we need to solve the equation for x.

Let's go through the steps:

Start with the given equation:

(x² - 8)² + x² - 8 = 20

Expand the squared term (x² - 8)²:

(x² - 8)(x² - 8) + x² - 8 = 20

Simplify:

(x⁴ - 16x² + 64) + x² - 8 = 20

Combine like terms:

x⁴ - 16x² + x² + 64 - 8 = 20

Simplify:

x⁴ - 15x² + 56 = 20

Rearrange the equation to bring all terms to one side:

x⁴ - 15x²+ 56 - 20 = 0

Simplify:

x⁴ - 15x² + 36 = 0

Now, we have a quadratic equation in terms of x².

Let's substitute y = x² to simplify further:

y² - 15y + 36 = 0

Solve the quadratic equation for y:

(y - 3)(y - 12) = 0

This gives us two possible values for y:

y - 3 = 0 --> y = 3

y - 12 = 0 --> y = 12

Substitute back y = x²:

For y = 3:

x² = 3 --> x = ±√3

For y = 12:

x² = 12 --> x = ±√12 = ±2√3

So, the possible values of x that satisfy the equation are x = ±√3 and x = ±2√3.

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Answer:

standard deviation = 3.0331

Step-by-step explanation:

You can solve for this two different ways.

If you have a TI-84 calculator or something similar, type all the data into list 1. Then click the stat button, then the calc button, then 1-vars stats. This will give you mean, standard deviation, median, mode, etc.

If you are solving by hand, find the different between each data point and the mean. Square these numbers and find the average. Then take the square root of that.

3^2 + 4^2 + 1^2 + 2^2 + 4^2 = 46

46/5 = 9.2

square root of 9.2 = 3.0331

Hope this is helpful!!!!!!!!!!! :)

Answer:

what prism?

I've done the same test before so I know the answer is 6 cm3

Could you please include the picture of the prism next time?

Step-by-step explanation:

Answer:

Im a bit late but the answer us 6 cm3

Step-by-step explanation:

The formula to find the volume of a triangular prism is

(1/2 x length x width) x height

or in other words

base x height

The base is the triangle on the side of the prism.

Answer:

27 cups

Step-by-step explanation:

(3 quarts = 12 cups) (5 pints = 10 cups) (plus 5 cups) = 27 total

Answer:-6

Step-by-step explanation:

Answer:

ez

Step-by-step explanation:

6 negative

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what.  Volume of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]h.  We know that the heights of the cylinders are the same since the diagram says so.  We also know pi is the same since thats a constant.  The only thing thats different is the radius (as you can see radius of P is bigger than Q).  If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q.  More volume means more time to fill up.  Since Q has less volume, it will take less time to fill up.  So now we look at the graph.  A shows that the height of water increases at a faster rate than that of B.  This is because there is less volume in that container (less volume=less time to fill up).  Therefore a matches to Q and therefore b matches to P

Answer:

b. 1/5

Step-by-step explanation:

10/50 = 1/5

Answer:

1,3,4

Step-by-step explanation:

Answer:

1 3 4 on edge 2022-2023

Step-by-step explanation:

hoped this helped

have a good day

Answer:

140 ft squared

Step-by-step explanation:

Answer:

140 ft

Step-by-step explanation:

10 × 14 = 140 so the answer is 140 ft

Answer:

-3c-2d^(2)e^(101)-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the first case the function could become undefined as x approaches -3 or 3 from either direction.  The vertical asymptotes are x = -3 and x = +3.

In the second case, there's only one vertical asymptote, because the denominator can be zero (0) only at x = 0.

Answer:

Step-by-step explanation:

y + 6 = -4(x + 2) is the point-slope form

y + 6 = -4x - 8

y = -4x - 14

Answer:

I think you should google this because I found the answer there and i am not able to put the link here sorry :(.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Use the pythagorean theorem where 12 squared plus 5 squared is the square of the hypotenuse. 12 squared is 144 and 5 squared is 25. 144+25=169. Taking the square root of 169 we get 13. Therefore the missing side is 13 units long.

Hope this helps! (Please mark Brainliest)

Answer: D.) 7

Step-by-step explanation:

Answer:

i think is B.

Step-by-i step explanation:

Answer:

I may be wrong, but I believe it is 4/6 = 6/9. I am so so so sorry if it is wrong.

Step-by-step explanation:

Answer:

In the graph we can find two points, lets select:

(2, 15) and (4, 30)

Those are the first two points.

Now, for two pairs (x1, y1) (x2, y2)

The slope of the linear equation y = s*x + b that passes trough those points is:

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

So the slope for our equation is

s = (30 - 15)/(4 - 2) = 15/2

then our linear equation is

y = (15/2)*x + b

now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)

15 = (15/2)*2 + b = 15 + b

b = 15 - 15 = 0

then our equation is:

y = (15/2)*x

Where we used a division and a multiplication.

Answer:

1/5

Step-by-step explanation:

f(-1) = (-1)^2 = 1

g(f(-1) = g(1)

g(1) = 1/(2(1)+3)  = 1/(2+3) = 1/5

Answer:

the answer is 3(x)- 3(9)

Answer: 5x^3 + x-6

Step-by-step explanation: