Use the two-path test to prove that the following limit does not exist y4-2x2/y4 x2

Answer:

the simble is <

Step-by-step explanation:

beacuse the one in the left is smaller then the one in the right

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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9514 1404 393

Answer:

  (b)  35/37

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you that ...

  Cos = Adjacent/Hypotenuse

  cos(X) = XY/XZ

  cos(X) = 35/37 . . . . . . matches the second choice

Answer:

X = 3°

Step-by-step explanation:

Since O and T are parallel you can use alternating lines

7x + 5° = 5x + 11° (alt. angles, O||T)

Move the 5x and the 5°

7x - 5x = 11° - 5°

2x = 6°

Divide both sides by 2

x = 3°

This is assuming 11 is an angle

Answer:

the answer is 2

Step-by-step explanation:

Answer:

That’s not a lot of info...

Step-by-step explanation:

Answer:

4.123

Step-by-step explanation:

Answer: 4.12

"you should rlly get to know this"

btw ^2 means to the power to 2

Step-by-step explanation:

a^2 + b^2 = c^2

in this case, u don't have "a"

the slanted side is "c"

a^2 + 8^2 = 9^2

a^2 + 64 = 81

a^2 = 81 - 64

a^2 = 17

         ___

a = _/ 17

a = 4.12

Answer:

Yes, changing from 3 states to 6 states changes the median because:

- The median of the first 3 states is simply the middle-placed state of the 3 states.

- The median of 6 states is the average of the 2 middle states.

Step-by-step explanation:

Suppose the first 3 states in order are:

A, B, C.

The median of these states is simply the middle state, B.

Adding 3 new states to have:

A, B, C, D, E, F.

The median is not explicit. It is the average of the two middle states, C and D.

Average of C and D is half of the sum of C and D.

That is (C + D)/2.

Which is different from B.

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Null hypothesis states, the new incentive program will not have a significant effect on reducing employee sick leave (26%). The new incentive program will result in a significant reduction in employee sick leave (26%), alternative hypothesis.

Hypothesis testing typically involves determining the statistical significance of the observed data by comparing it to a null hypothesis.

The null hypothesis (H0) in this scenario could be stated as: "The introduction of the new incentive program for perfect attendance will not have a significant effect on reducing employee sick leave (26%)."

The alternative hypothesis (H1) would then be: "The introduction of the new incentive program for perfect attendance will result in a significant reduction in employee sick leave (26%)."

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The edges of the tree are as follows:f - a, f - b, f - c, c - d, c - e, c - f, b - f, a - f, a - b.

Let the vertices be a, b, c, d, e, f with degree sequence (1, 1, 1, 1, 3, 3)

Since all vertices have a degree at most 3, the tree cannot have 6 vertices.

So, a tree with this degree sequence does not exist(c) (1, 1, 1, 1, 3, 4)

We can form a tree with this degree sequence as follows:Let the vertices be a, b, c, d, e, f with degree sequence (1, 1, 1, 1, 3, 4)

Vertex f must be the vertex of the highest degree in this graph, so we can make f the root of the tree.

The three children of f must have degrees 1, 1, and 3.

So, we label these vertices a, b, and c. The remaining vertex of degree 1 can be connected to any vertex of degree 1, let it be a.

Thus the tree can be represented as below.  The edges of the tree are as follows:

f - a, f - b, f - c, c - d, c - e, c - f, b - f, a - f, a - b.

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The population of squirrels in the Louisiana forest growing monthly at a rate of 5% currently from 100, will be 182 after a year.

The final value of any quantity growing constantly at a particular rate is given as \(V = V_{0}e^{rt}\) ,

where V is the final value, V₀ is the initial value, r is the rate of growth per time period, and t is the number of time periods.

The current population of squirrels (V₀) = 100.

The growth rate (r) = 5% per month.

The time period (t) = 1 year = 12 months.

Hence, the final population of squirrels (V), is given as:

\(V = V_{0}e^{rt}\) ,

or, \(V = 100e^{(0.05*12)}\) ,

or, \(V = 100e^{0.60}\) ,

or, V = 100*1.822119,

or, V = 182.2119 ≈ 182.

Therefore, the population of squirrels in the Louisiana forest growing monthly at a rate of 5% currently from 100, will be 182 after a year.

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b) E(x) = 0 * 0.60 + 500 * 0.05 + 1000 * 0.13 + 2000 * 0.22 = $595.2

d) The mean of a random variable is the expected value, which represents the long-run average cost per car. It approaches $595 as the number of cars insured increases.

c) Variables in J and III are discrete and integer values, while the variable in II is continuous but limited by measurement.

z-value for 0.60 is 0.25. $240 + (0.25) * 60 = $255

When subtracting two independent variables, variances are added. Y = 0.25X - 5.00, o^2 = 0.25^2 * 125 - 5^2 = 26.25.

Binomial probability with n = 24 and p = 0.3. P(X > 4) = 1 - binom.cdf(24, 0.3, 4) = 0.8889.

E(y) = np = 24 * 0.3 = 7.2, o^2 = np(1 - p) = 24 * 0.3 * 0.7 = 2.24.

c) The distribution fits all conditions for a geometric distribution.

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1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

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Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

Answer:

Its A

Step-by-step explanation:

hhhhhhhhuhuuhihuuhuhuuhhdafgsjjsy

Answer:

Use the Triangle Proportionality Converse. If the ratios are equal, then the lines are parallel.

Answer:

It's -7/5

Step-by-step explanation:

use rise(change in x) over run(change in y)

Answer:

-7/5

Step-by-step explanation:

work is in the picture

#4= -8

#5= 781

#6= 1.34×10(3) (Exponent)

(i) The number of different divisions possible when 15 children divide themselves into teams of 5 each (Team A, B, and C) is 756.

(ii) If the teams are not distinguishable, the number of different divisions possible is 756 divided by 3!, which equals 126.

(i) To determine the number of different divisions when 15 children divide themselves into three teams of 5 each, we can calculate the number of combinations.

Since the order of the teams does not matter, we use the combination formula.

The formula is nCr = n! / (r! * (n - r)!), where n is the total number of children and r is the number of children per team.

Plugging in the values, we have 15C5 * 10C5 = (15! / (5! * 10!)) * (10! / (5! * 5!)) = 756.

(ii) If the teams are not distinguishable, we need to account for the fact that the order of the teams doesn't matter.

Each division would be counted multiple times if we considered the teams distinguishable. Since there are 3! (3 factorial) ways to arrange the teams, we divide the previous result by 3!, which gives us 756 / 3! = 126.

This accounts for the different arrangements of the same teams and gives us the number of distinct divisions.

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Answer:

Look below.

Step-by-step explanation:

13.)

The lines are neither because the slopes are reciprocals.

14.)

The lines are perpendicular because the slopes are opposite reciprocals.

The linear equation that best fits the data is: y = 10x + 15.

First, find the slope/unit rate (m) and the y-intercept/starting value, then substitute the values into y = mx + b.

Using two points on the graph, (1, 25) and (2, 35), find the slope (m):

Slope (m) = (35 - 25)/(2 - 1)

Slope (m) = 10/1

Slope (m) = 10

Substitute (x, y) = (1, 25) and m = 10 into y = mx + b to find b

25 = 10(1) + b

25 - 10 = b

b = 15

Substitute m = 10 and b = 15 into y = mx + b

y = 10x + 15

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Answer: (1,500 = 30) (90 = 1.80)

Step-by-step explanation:

(1,500 = 30) (90 = 1.80) - This I'm pretty sure is the answer.

Answer:

0.251

Step-by-step explanation:

for a normal distribution question, we need to use the z-score formula for finding the area (probability).

use the z-score formula to convert the values.

z = (X - υ) / σ

where X is the test statistic, υ is the mean, σ is the standard deviation.

z = (4 - 5) / 1.5

= -0.67

in the z-table, find -0.6 down the side column and 0.07 on the top row. the number in the table where these two meet is 0.25143. this is the area to the left of z = -0.67. this is what we want for this question since we want an orange that weighs less than 4oz.

that means that the probability is 0.251 to nearest thousandth

Answer:

Total cost = $5h + $3s

Step-by-step explanation:

total cost of hot dog = price of hot dog x quantity of hot dog = 5 x $h

total cost of softdrink = price of softdrink x quantity of softdrink = $3s

total cost = $5h x $3s

Sadie's earnings varys directly with the number of hours worked.

The number of hours worked in a week where her earnings would be $210 is 20 hours.

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. Sadie's earnings increase with hours worked. This is a direct variation.

Hours worked = Total earnings / earning per hour

210 / 10.50 = 20 hours

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Answer: 75%

Step-by-step explanation:

The debt went from $1,600 to $400.

Formula when calculating percent decrease is:

= (New price - old price) / Old price

= (400 - 1,600) / 1,600

= -75%

Paul reduced his debt by 75%