What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2 x = ±6 x = ±5 no real solution btw i just clicked the las

bagirrra123 [75]

50-x^2=0
Move the x^2 to the other side
x^2=50
Now take the square root of both sides
x=+_(50)^1/2 (^1/2 means square root)(+_ is plus or minus. Sorry XD)
Now simplify the square root
X=+_5(2)^1/2
Voila. The answer is C

3 0

2 years ago

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A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. What is the area of the octagon, rounded to the ne

Lerok [7]

Answer:

$332in^2$

Step-by-step explanation:

The area of a regular polygon is calculated using the formula;

$Area=\frac{1}{2}ap$

where $a$ is the apothem and p is the perimeter.

It was given that, the apothem is, $a=10in.$ and the perimeter is $p=66.3 in.$

We substitute into the formula to obtain;

$Area=\frac{1}{2}\times10\times66.3in^2$

$Area=331.5in^2$

To the nearest square inch, we have;

$Area=332in^2$

4 0

2 years ago

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Graph y ≥ -x^2 - 1. Click on the graph until the correct graph appears.

Nitella [24]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y\geq -x^{2}-1$

The solution of the inequality is the shaded area above the solid line of the equation of the parabola $y= -x^{2}-1$

The vertex of the parabola is the point (0,-1)

The parabola open downward (vertex is a maximum)

using a graphing tool

see the attached figure

6 0

2 years ago

Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans

statuscvo [17]

Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where $\bar{x}$ is the mean weight $\sigma$ is the standard deviation $t_{\alpha/2}$ is the critical value from t-table and n is the sample size.

The term $t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } )$ is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

7 0

2 years ago