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3 years ago

Question 5(Multiple Choice Worth 4 points)

Mathematics

1 answer:

Aleks [24]3 years ago

7 0

Hello!

The number 49 is similar to other numbers like 25, 81, 4, or 64. All these numbers are perfect squares. Perfect squares are numbers multiplied by itself. Here is a list of commonly used perfect squares.

1 × 1 = 1
2 × 2 = 4
3 × 3 = 9
4 × 4 = 16
5 × 5 = 25
6 × 6 = 36
7 × 7 = 49
8 × 8 = 64
9 × 9 = 81
10 × 10 = 100
11 × 11 = 121
12 × 12 = 144

From the list above, the square root of 49 is 7, but the question asks for the negative square root of 49, which is written as: -√49.

To simplify this expression, first, simplify the radical, and then multiply the product by negative one.

7 × -1 = -7

Therefore, the negative square root of 49 is choice C, - 7.

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Akron Cinema sells an average of 500 tickets on Mondays, with a standard deviation of 50 tickets. If a simple random sample is t

Paha777 [63]

Answer:

Step-by-step explanation:

Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as

z = (x - u)/s

Where

x = ticket sales from monday

u = mean amount of ticket

s = standard deviation

From the information given,

u = 500 tickets

s = 50 tickets

We want to find the probability that the mean will be greater than 510. It is expressed as

P(x greater than 510) = 1 - P(x lesser than or equal to 510)

For x = 510

z = (510 - 500)/50 = 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.9773

P(x greater than 510) = 1 - 0.9773 = 0.0227

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2 years ago

Read 2 more answers

Determine if a triangle can be formed with the given lengths. If it can, classify it as acute,

lisabon 2012 [21]

Answer:

steps below

Step-by-step explanation:

1. It can be formed a triangle: sum of any two sides is greater than the 3rd side

2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²

the triangle is an obtuse-angled triangle if the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)

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3 years ago

An elliptical-shaped path surrounds a garden, modeled by quantity x minus 20 end quantity squared over 169 plus quantity y minus

Margaret [11]

The maximum distance between any two points of the ellipse is 34 feet.

<h3>Procedure - Determination of the distance between two points of a ellipse</h3>

The maximum distance between any two points of a ellipse is the maximum distance between the ends of the ellipse along the longest axis, which is parallel to the y-axis in this case.

In addition, the equation of the ellipse in standard form is defined by this formula:

$\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1$ (1)

Where:

$h, k$ - Coordinates of the center of the ellipse.
$a$ , $b$ - Lengths of each semiaxis.

Hence, the maximum distance ( $d_{max}$ ), in feet, is calculated by this formula:

$d_{max} = 2\cdot b$ (2)

If we know that $b = 17$ , then the maximum distance between any two points of the ellipse is:

$d_{max} = 2\cdot (17\,ft)$

$d_{max} = 34\,ft$

The maximum distance between any two points of the ellipse is 34 feet. $\blacksquare$

<h3>Remark</h3>

The statement is incomplete and poorly formatted, correct form is presented below:

An elliptical-shaped path surrounds a garden, modeled by $\frac{(x-20)^{2}}{169} + \frac{(y-18)^{2}}{289} = 1$ , where all measurements are in feet. What is the maximum distance between any two points of the path.

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

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2 years ago

For the perfect cup of hot cocoa, Eva uses 333 scoops of hot cocoa mix, 101010 miniature marshmallows, and 888 ounces of water.

Talja [164]

Answer: 3/910

333/101010

simplify
3/910

So, Every 3 scoops, there is 910 mini-marshmallows added (Or vice versa )

(Jeez, Eva is rich)

6 0

2 years ago

PLEASE HELP!

Ilia_Sergeevich [38]

You have the function $y= \dfrac{60x}{1+0.625x}$ .
Rewrite it in the following way:

$y= \dfrac{60x}{1+0.625x}=\dfrac{60x}{1+ \frac{5}{8} x}=\dfrac{480x}{8+5x}=\dfrac{96\cdot 5x}{8+5x}=$
$=\dfrac{96(5x+8-8)}{8+5x}=\dfrac{96(5x+8)}{8+5x}-\dfrac{96\cdot8}{8+5x}=96-\dfrac{768}{8+5x}$ .
This function entry allows you to determine that y=96 is the horizontal asymptote and x=-8/5 is the vertical asymptote.

From the added graph of the function you can conclude that the maximum number of moose that the forest can sustain at one time is 96.
Answer: Correct choice is A.

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3 years ago