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OLEGan [10]
2 years ago
12

Cora said that (5b)^2 = 10b^2. Describe her mistake and state the correct answer.

Mathematics
1 answer:
klio [65]2 years ago
7 0

The easiest answer I know is if you swap the bs with xs, then there will be two equations called parabolas. They open upward if the value is positive and open downward if the value is negative. If the exponent is 2, then it's a parabola. If it's 3, then it's a cubic function, because cube is for "3". Square is for "2". If you look at both parabolas, you can see that 10x^2 is wider than (5x)^2.

So the best answer I can think of is She made a mistake because the parabola on the 10x² graph is wider than the (5x)² graph. Also, it's because 5x and 10x are not the same thing. When an x value increases, the graph is narrower.

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An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
pantera1 [17]

Answer: The possible side lengths are either 16 inches or 20 inches

Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.

If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;

Volume = L x W x H

Knowing that all three dimensions are the same the formula can be re-written as;

Volume = L³

4096 = L³

Add the cube root sign to both sides of the equation

∛4096 = ∛L³

16 = L

Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;

Volume = L³

8000 = L³

Add the cube root sign to both sides of the equation

∛8000 = ∛L³

20 = L

Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches

3 0
3 years ago
Pls help if your good at math marking brainliest
LenaWriter [7]

Answer:

Step-by-step explanation:

6x-1=2x+5+4x-6

separate the variables in one side, numbers on the other side

6x-2x-4x=1+5-6

0=0

one solution

8 0
3 years ago
What is the place value of the 2 in 6,025
Ray Of Light [21]

Answer: tens


Step-by-step explanation: the number 2 is in the tens place because 6,025= 6 is in the thousands place 0 is in the hundredths place 2 is in the tens place and 5 is in the ones place

PLEASE MARK BRAINLIEST


8 0
3 years ago
Can u solve the answer
pickupchik [31]

Answer:

She needs 50 ft² of wood to cover the table

Step-by-step explanation:

You need to know the formula for area of a trapezoid, which is

A = (B1 + B2)h/s     (add the bases together, multiply by the height, then divide

                                by 2)

We are given B1 = 12, B2 = 8, and h = 5, so plug them in and simplify

A = (12 + 8)(5)/2

 

    A = (20)(5)/2

       A = 100/2

         A = 50 ft²

5 0
3 years ago
What eqauls to 31.25
RSB [31]

125 = 5^3 = 25 * 5

4 \cdot \sqrt{125} = 4 \sqrt{25 \cdot 5} = 4 \cdot 5 \sqrt{5} = 20\sqrt{5}

The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.

5 0
3 years ago
Read 2 more answers
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