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Wittaler [7]
3 years ago
13

Make x the subject of formular y=5√x+3-4

Mathematics
1 answer:
pochemuha3 years ago
8 0

Answer:

x={(y+1) / 5}²

Step-by-step explanation:

y = 5√x +3 -4

⇒y = 5√x -1

add 1 on both sides

⇒ y + 1 = 5√x

divide both sides by 5

⇒(y+1) / 5   = (5√x) /5

⇒(y+1) / 5   = √x

now, square both sides

⇒{(y+1) / 5}²  = (√x)²

∴{(y+1) / 5}² = x

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What is the surface area of the prism? A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.
Naddik [55]

Answer:

52m²

Step-by-step explanation:

For this you would consider each face of the figure as a rectangle, and then multiply it by two.

Face 1:

3m×4m×2=24m²

Face 2:

4m×2m×2=16m²

Face 3:

3m×2m×2=12m²

Then you add each of them together to get the overall surface area

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Therefore the final surface area is 52m²

5 0
3 years ago
Read 2 more answers
Type the correct answer in each box. If necessary, use /for the fraction bars
Vikentia [17]

Answer:

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.

3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6

The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.

Solution:

The possible outcomes of rolling an 8-sided die are:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The odd numbers are:

Odd = {1, 3, 5, 7} = 4 outcomes

The theoretical probability of rolling an odd number is:

P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%

Now from the given 20 outcomes the odd values are:

Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes

Compute the experimental probability of rolling an odd number as follows:

P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%

Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

6 0
2 years ago
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Stells [14]

Answer:

$2,484

Step-by-step explanation:

1) Multiply 2300 x .04 because 4% is added yearly. That's 92.

2) Multiply that answer by 2 since the amount is compounded for two years. 92 x 2 = 184.

3) Add the interest and original amount together. 2300 + 184 = $2484

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2 years ago
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