is the function continuous at all points in the given region: (b). y/x^2+2 on the disk x^2+y^2<=1

Answer:

144

Step-by-step explanation:

144/-9=-16 Hope this helps

The solution when the triangle is solved for c is 96 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The third angle in the triangle is calculated as

Third = 180 - 60 - 24

So, we have

Third = 96

By the theorem of corresponding angles, we have

c = Third

This means that

c = 96

Hence, the triangle solved for c is 96 degrees

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Answer:

b+5≤-24. Hope this helps:)

Step-by-step explanation:

The opposite of Carlo's elevation is 12 feet

Carlos is said to have submerged himself in a 12-foot-deep swimming pool.

Carlos' elevation will be -12 feet with regard to the surface because he submerged himself to the pool's bottom.

The elevation of Carlos as it relates to the ground would be opposite of -12 feet, or -(- 12) feet.

12 feet

Carlos' elevation in relation to the ground is therefore 12 feet higher than it should be.

Thus the opposite of Carlo's elevation is 12 feet .

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Step-by-step explanation:

\( \frac{r}{6 } + 1 = 9 \\ \frac{r}{6} = 9 - 1 \\ \frac{ r }{6} = 8 \\ r = 48\)

Answer:

r = 48

Step-by-step explanation:

The goal is to get r on one side of the equation.

To do this do the same thing to both sides of the eqaution to keep it in balance.

r/6 + 1 = 9

Subtract 1 from both sides

r/6 = 8

multiply both sides by 6

r = 48

The team that has best overall record for the season is the falcons because they have a larger mean value of 20.9 points

The mean of the dataset is defined the sum of all values divided by the total number of values. Therefore mean can be expressed as;

mean = sum of items/number of items

The mean value of Eagles = (3 + 24 + 14 + 27 + 10 + 13 + 10 + 21 + 24 + 17 + 27 + 7 + 40 + 37 + 55)/15

= 310/15 = 20.67

The mean value of falcons = (24 + 24  + 10 + 7 + 30 + 28 + 21 + 6 + 17 + 16 + 35 + 30 + 28 + 24 + 14)/15

= 314/15 = 20.93

Therefore since the mean value of falcons is higher than eagles, falcons has the best overall performance.

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1.

Collinear : Points on the same line

Non-collinear: Points not on same line

Line: All points between any two points extending in opposite directions.

Space: Where things exist

Coplaner: Points and lines on the same plane

Geometry: Earth measure

Plane: A flat surface

Non-coplaner: Points and lines not on the same plane

2. EF

3. EGD

4. AD

5. G

The two statements "p then q" and "q then p" are not equivalent

The statements "p then q" and "q then p" are not necessarily equivalent.

"p then q" implies that if p is true, then q must also be true. In other words, p is a sufficient condition for q.

On the other hand, "q then p" implies that if q is true, then p must also be true. In other words, q is a sufficient condition for p.

Consider the example "If it is raining, then the ground is wet" (p then q) and "If the ground is wet, then it is raining" (q then p).

These statements are not equivalent because there are other ways that the ground could be wet (e.g., from a sprinkler) besides rain.

Therefore, the equivalence of "p then q" and "q then p" depends on the specific context and the relationships between the variables involved.

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The statements have different truth values, thus, these are not equivalent.

Two statements are equivalent if the truth values are the same ones.

The first statement in this case is:

p → q

If in this case we have that p is true, and q is false, then the statement is false, because p implies q.

in other hand, if p is false and q is true, the statement still is true.

For the other one we have:

q → p

This time, if q is true and p is false the statement is false. So we already find a different truth value between the two statements, that is enough to conclude that the statements are not equivalent.

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If the spring musical cost $600 for costumes and $450 for the stage materials.  the number of tickets  is 56 tickets.

Total ticket = $600 + $450

Total ticket = $1050

Now let find the number of tickets that they have to sell to profit.

Number of tickets = $1,050 - $375 / $12

Number of tickets = $675/$12

Number of tickets = 56 tickets

Therefore the number of tickets  is 56 tickets.

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The complete question is:

The spring musical cost $600 for costumes and $450 for the stage materials.

Students raised $375 from advertisements in the program. Tickets cost $12 each.

How many tickets do they have to sell to profit?

Answer:

B.20x + = 5x + 11

hope it's helpful ❤❤❤❤❤

THANK YOU.

the answer will be:

36-x = 3(4+x)

Answer:

57/100

Step-by-step explanation:

27/100 = 0.27

3/10 = .3

.27 + .3 = .57

.57 = 57/100

Answer:

57/100

Step-by-step explanation:

make the denominators the same

lcm of 10, 100= 100

27/100+30/100=57/100

The population size at t = 6 hours is approximately 1349.9 individuals.

To solve this differential equation, let's denote the population at time t as P(t). We know that the growth rate is proportional to the current population, so we can write the differential equation as:

dP/dt = k * P

where k is the proportionality constant.

To solve the equation, we can separate variables and integrate both sides:

1/P dP = k dt

∫1/P dP = ∫k dt

ln|P| = kt + C

where C is the constant of integration.

To find the value of C, we can use the initial condition that the population starts with 1000 individuals at t = 0:

ln|1000| = 0 + C

C = ln|1000|

Substituting the value of C back into the equation, we have:

ln|P| = kt + ln|1000|

ln|P| - ln|1000| = kt

ln(P/1000) = kt

\(P/1000 = e^(kt)\\P = 1000 * e^(kt)\)

Now, if the growth rate is 0.05 per hour, we have k = 0.05. So the equation becomes:

P = 1000 * e^(0.05t)

To find the population size at t = 6 hours, we substitute t = 6 into the equation:

\(P(6) = 1000 * e^(0.05*6)\\P(6) ≈ 1000 * e^0.3\)

P(6) ≈ 1000 * 1.3499

P(6) ≈ 1349.9

The population size at t = 6 hours is approximately 1349.9 individuals.

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Complete question:

A population of bacteria starts with 1000 individuals and grows at a rate proportional to the current population. If the growth rate is 0.05 per hour, find the equation that models the population growth and determine the population size at t = 6 hours.

Answer:

D

Step-by-step explanation:

Initial Me charges $8 per T-shirt printed.

Monogram Mania charges less per T-shirt printed than Initial Me charges.

Let's examine the linear graph:

The two companies will cost the same if 10 T-shirts are purchased and the cost is 130.

The initial fee charged by Initial Me is $50.

The initial fee charged by Monogram Mania is $80.

Note: The y-intercept of the graph is the initial fee

The slope of the lines will give the cost per T-shirts (unit rate)

Initial Me: slope = (130-50)/(10-0) = 80/10 = $8

Monogram Mania: slope = (130-80)/(10-0) = 50/10 = $5

Thus, Initial Me charges $8 per T-shirt printed while Monogram Mania charges $5 per T-shirt printed.

This implies Monogram Mania charges less per T-shirt printed than Initial Me charges.

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Answer: polar form

Step-by-step explanation:

The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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Answer: See attached.

Step-by-step explanation:

        We see from the given values that for every table there is 3* the number of guests and vise versa (for every 3 guests there is one table). Using this information we can complete the other values by multiplying or dividing.

3 tables * 3 = 6 guests

15 guests / 3 = 5 tables

9 tables * 3 = 27 guests

30 guests / 3 = 10 tables

To find out how many of the 1000 newborn babies would you expect to weigh between 4 and 9 pounds, we need to standardize the values to a z-score value and then use the standard normal distribution table.

Using the formula, we get

\(:$$z

= \frac{x - \mu}{\sigma}$$$$\frac{4 - 6}{1.4}

= -1.43$$$$\frac{9 - 6}{1.4}

= 2.14$$\)

Therefore, the proportion of newborn babies weighing between 4 and 9 pounds can be found by using the Z-tables. This will give us the probability of a baby weighing between these weights and allow us to find the number of babies in the given group of 1000 using the formula (Between 4 and 9 pounds)

= \(P(Z < 2.14) - P(Z < -1.43)P\)

(Between 4 and 9 pounds)

= 0.9830 - 0.0764P(Between 4 and 9 pounds)

= 0.9066

Thus, the number of newborn babies weighing between 4 and 9 pounds in a group of 1000 can be calculated as: Number of newborn babies weighing between 4 and 9 pounds.

= 0.9066 × 1000

= 907.2

babies ≈ 907 babies2.

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Answer:

77

Step-by-step explanation:

Hope this helps..

Good luck.

Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.

As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."

According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.

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The digit 4 in 8.4 has a value of 0.4, which is indeed 1/10 the value of the digit 4 in 7.4.

The digit 4 in the number 7.4 has a value of 4 tenths or 0.4. To find a number where the value of the digit 4 is 1/10 of this value, we need to find a number that has a digit 4 in the tenths place and a digit in the ones place that is 10 times greater than 7.

Let's consider the number 8.4. In this number, the digit 4 is in the tenths place and the digit 8 is in the ones place. The value of the digit 4 in this number is 4 tenths or 0.4, which is 1/10 the value of the digit 4 in 7.4.

To check, we can calculate the value of the digit 4 in 8.4 as follows:

4/10 + 8 = 8.4

Therefore, the answer is 8.4.

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By using percentage, it can be calculated that-

Sticker price of the car =  $14291.75

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage

For example 11% means \(\frac{11}{100}\) . Here 11 is expressed as a fraction of 100

This is a word problem on percentage

Base price of the car = $15455.40

Cost of option = $585

Destination charge = $675

The dealer's cost is 85% of the base and 82% of the options

Sticker price of the car = \(\frac{85}{100}\times 15455 + \frac{82}{100} \times 585 + 675\)

                                      = 13137.09 + 479.7 + 675

                                      = $14291.75

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Bob would write 68 as 2 to the power of 1 * 2 * s, where s = 17, in order to use the Miller-Rabin test to check the primality of 69.

To check if 69 is prime using the Miller-Rabin test, Bob would first write 68 as 2 to the power of u * r, where u is an odd number and r is an integer.

Since 69 is odd, we can set u = 1.

Now, we need to find the value of r. To do this, we need to find the largest integer r such that 2 to the power of u * r divides evenly into 68.

Starting with r = 1, we calculate 2 to the power of u * r: 2^1 * 1 = 2. However, 2 does not divide evenly into 68.

Next, we try r = 2. 2^1 * 2 = 4, and 4 divides evenly into 68. So, we have found the largest value of r.

Now, we can write 68 as 2 to the power of 1 * 2 * s, where s is the quotient of 68 divided by 4. This gives us 68 = 2^1 * 2 * s, or 68 = 2^2 * s.

Since 68 = 2^2 * s, we can simplify this to 17 = s. Now, we have expressed 68 as 2^1 * 2 * 17.

Using the Miller-Rabin test, Bob would then perform multiple iterations to test the primality of 69. However, since this question only asked about the initial steps of the process, we can conclude that 69 is not prime based on the factors we found.

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123 rounded to the nearest 100 is 100

Answer:

a is correct ................

Wassup. I'm back from the dead. Satan revived me.

Answer:

1/6a+-1/6

Step-by-step explanation:

Answer:

Amount of water in bottle = 3/8 liter

Step-by-step explanation:

Given:

Total capacity of bottle = 3/4 liter

Amount of water in bottle = 1/2 of total capacity

Find:

Amount of water in bottle

Computation:

Amount of water in bottle = [Total capacity of bottle[1/2 of total capacity]

Amount of water in bottle = [3/4][1/2]

Amount of water in bottle = 3/ [(4)(2)]

Amount of water in bottle = 3/8 liter