Use the ALEKS calculator to approximate √68.
Round your answer to the nearest hundredth.

Answer: y = 1/4x -2.

Step-by-step explanation: The formula for these types of equations is y = mx + b, where m is the slope and b is the y-intercept.  The slope, in this case, is 1/4 and the y-intercept is -2.  The equation of the line for this problem is y = 1/4x - 2.

Hope this helps! :)

No, we cannot conclude that there is a difference in the mean number of surgeries performed by hospital or by day of the week.

The data provided would need to be further analyzed to determine if there is a statistically significant difference between the means. A t-test or ANOVA could be used to test for differences between the means.

1. The data provided shows the number of outpatient surgeries performed at three hospitals in the Tulsa, Oklahoma, area on each day of the week.

2. To determine if there is a difference in the mean number of surgeries performed by hospital or by day of the week, a statistical test needs to be conducted.

3. A t-test or ANOVA could be used to test for differences between the means.

4. The results of the test would need to be examined to determine if there is a statistically significant difference between the means.

5. At the 0.05 significance level, we cannot conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week.

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Answer: A geometric figure which touches only the sides (or interior) of another figure.

Step-by-step explanation:

its inside but does not go past the innner edges

Answer:

It's 40cm²

Step-by-step explanation:

Base times height.

The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer: $850

Step-by-step explanation:

Take 500 divided by 100% = $5

So we know that 1% is $5

We already know 30% is $500, so we find the 70% missing

So we take 5 times 70 = $350

Then we take 500+350 = $850

So the business is worth $850

Based on the amount of Nacho cheese corn chips and the calories per gram, the calories per party bag is 1,094.6 calories

First, convert ounces to grams:

= 1 ounce is 28.3495 grams

Party bag in grams:

= 15 x 28.3495

= 425.243 grams

The amount of calories is:

= 425.243 x 28.6% x 9

= 1,094.6 calories

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The coordinate of 'A' will be;

⇒ A = (- 1, - 8)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The translation is,

The image point of A after a translation left 1 unit and down 1 unit is the point B(0, -7).

Now,

Since, The image point of A after a translation left 1 unit and down 1 unit is the point B(0, -7).

Hence, The point of A become;

⇒ A = (0 - 1 , - 7 - 1)

⇒ A = (- 1, - 8)

Thus, The coordinate of 'A' will be;

⇒ A = (- 1, - 8)

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Answer:

4x(squared)-36

Step-by-step explanation:

=(2x+−6)(2x+6)

=(2x)(2x)+(2x)(6)+(−6)(2x)+(−6)(6)

=4x^2+12x−12x−36

=4x^2 −36

Hike will be of approximately 1201.75 feet to reach the top of the mountain starting from sea level.

The distance you will hike to reach the top of the mountain, we can use trigonometry and the given information about the slope and altitude.

The slope of the mountain is given as 21 degrees, and the altitude you reach is 468 feet.

Let's assume that the horizontal distance you hike is represented by "x."

Using trigonometry, we can use the tangent function to relate the angle and the opposite side (altitude) to the adjacent side (distance hiked).

Tangent of the slope angle = Opposite / Adjacent tan(21 degrees)

Tangent of the slope angle  = 468 feet / x

To solve for x, we can rearrange the equation

x = 468 feet / tan(21 degrees)

we can find the tangent of 21 degrees, which is approximately 0.3894.

x = 468 feet / 0.3894

x ≈ 1201.75 feet

Therefore, you will hike approximately 1201.75 feet to reach the top of the mountain starting from sea level.

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Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

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Answer:

A and 3  I believe

The height of the oak tree in front of Igor's castle is approximately 57.27 ft. To find the height of the oak tree, we can use the principle of similar triangles.

The height of the tree can be determined by comparing the ratio of the height of Igor to the distance between Igor and the mirror with the ratio of the height of the tree to the distance between the mirror and the tree.

Let's represent the height of the oak tree as 'h'. According to the problem, Igor's eye height is 4.5 ft, and he is 5.5 ft away from the center of the mirror. The mirror is placed 70 ft from the tree.

Using the similar triangles concept, we can set up the following proportion:

(height of Igor) / (distance between Igor and mirror) = (height of tree) / (distance between mirror and tree)

Plugging in the given values, we have:

4.5 ft / 5.5 ft = h / 70 ft

Solving this proportion, we find:

(4.5 ft * 70 ft) / 5.5 ft = h.

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Answer:

X=-3/2

Step-by-step explanation:

1/4+1/2+X=-3/4

X=-3/4-1/4-1/2

X=-3/2

Answer:

Cost for 6 hour canoe rental = $360.00

Step-by-step explanation:

We can model the situation using the slope-intercept form of line, whose general equation is given by:

y = mx + b, where

We see that cost depends on the amount of hours a canoe is rented as cost only increases as hours increase.

Thus, we can use the equation:

C(h) = mh + b, where

Since the transportation fee is $30, it's our b value as the customer pays $30 even when 0 hours have passed.

Since the customer pays $55 an hour, it's our marginal cost.

Thus, our equation (with 55 substituted for m and 30 substituted for b) is:

C(h) = 55h + 30

Now we can plug in 6 for h to find the cost of renting the canoe for 6 hours:

C(6) = 55(6) + 30

C(6) = 330 + 30

C(6) = 360

Thus, the cost of renting the canoe for 6 hours is $360.

Answer:

C:  (-8, 2)

Step-by-step explanation:

Given parabola:

\(y=-\dfrac{1}{8}x^2-2x-4\)

For the quadratic equation in the form y = ax² + bx + c, the x-value of the vertex is -b/2a.  

Therefore, the x-value of the vertex of the given parabola is:

\(\implies x=-\dfrac{b}{2a}=-\dfrac{-2}{2\left(-\frac{1}{8}\right)}=-8\)

To find the y-value of the vertex, input x = -8 into the given equation:

\(\implies y=-\dfrac{1}{8}(-8)^2-2(-8)-4=4\)

Therefore, the vertex (h, k) of the parabola is (-8, 4).

The focus of the parabola is (h, k+p) where:

Therefore:

\(\implies \textsf{Focus}=\left(-8,4+\dfrac{1}{4\left(-\frac{1}{8}\right)}\right)=\left(-8,2)\)

Answer:

60.

Step-by-step explanation:

because hg = gj = hj , also all three angles are the same and since a triangle has 180' , 180/3 is 60

Answer:

x=4 y=5

Step-by-step explanation:

The percent error in Jessica's calculation is 4.17%.

To calculate the percent error in Jessica's calculation, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) * 100

Given that Jessica's measured value was 125 seconds and the actual value was 120 seconds, we can substitute these values into the formula:

Percent Error = (|125 - 120| / 120) * 100

Simplifying further:

Percent Error = (5 / 120) * 100

Percent Error = 0.0417 * 100

Percent Error = 4.17%

This means that Jessica's recorded time of 125 seconds differs from the actual time of 120 seconds by approximately 4.17% in relative terms. The positive sign indicates that Jessica's recorded time was greater than the actual time.

Percent error is a way to quantify the discrepancy between a measured value and the true value. It provides a measure of the accuracy of a measurement or calculation, allowing us to understand the degree of error or deviation involved.

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ANSWER

EXPLANATION

The Chairman and Co-Chairman are specific positions, so order matters. We first select the chairman out of 10 people and then, the Co-Chairman out of the 9 people left,

The price that maximizes revenue is p = 120.

The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.

Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:

R = p × q

R = p × (-5p + 1200)

To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.

dR/dp = -10p + 1200 = 0

Solving this equation for p:

-10p + 1200 = 0

-10p = -1200

p = -1200 / -10

p = 120

Therefore, the price that maximizes revenue is p = 120.

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In order to find or answer we need to combine terms that have "c" in them.

Now, the terms with c are 0.3c and c; therefore, we can say

Therefore,

Hence, the top left choice is the correct one.

Answer:

work is shown and pictured

The actual area of her office is 50 square feet.

The scale used for the blueprint of the office is the scale of reduction.

Also, the scale of reduction is uniform for the overall drawing.

We are given,

The blueprint for Zahra's new office measures 4 cm long and 2 cm wide.

The scale for the blueprint is 6 cm to 15 ft.

Let's find the actual length and width by unitary method;

Since 6 cm of the drawing denotes the actual size of 15 ft.

So, 1 cm of the drawing denotes the actual size of 15 ft./6 cm.

So, 4 cm of the drawing denotes the actual size of 15 ft./6 cm * 4 cm = 10 ft.

So, 2 cm of the drawing denotes the actual size of 15 ft./6 cm * 2 cm = 5 ft.

So, the actual length of the office will be 10 ft. and the actual width of the office will be 5 ft.

Now,

Area of the office = length * width = 10 * 5 = 50 square feet.

Thus, the actual area of her office is 50 square feet.

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Answer:

28200

24700+3500=28200.

The plane was at 28200 feet then it desended 3500 feet then it was at 24700 feet.

Answer:

see below

Step-by-step explanation:

79 is one standard dev above the mean

 approx  84 % would be less

        ( which seems a bit weird when discussing golf scores)

Between 1 SD below and 1 SD above encompasses just about  68%

   .68 * 125 = ~ 85 scores

Answer:

the first quarter would be drawn before the median and the median would be drawn after the first quarter

Answer:

3,4

Step-by-step explanation: