Evaluate the following limit, if it exists : lim (tan 112 – sec 11x) X-7 22 Note: Write the exact answer not the decimal approximation (for example write 을 not 0.8).

Answer:

can you type the question I cant see the picture

Step-by-step explanation:

The value of y0, we substitute x = 0 into the given equation: 5e^sin(2*0) = 5e^sin(0) = 5e^0 = 5.: a) The constant y0 must be 5. b) The function p(x) must be 0.

The given equation, 5e^sin(2x), is known to be the solution of the initial value problem: dx/dy + p(x)y = 0, y(0) = y0.

To find the value of y0, we substitute x = 0 into the given equation: 5e^sin(2*0) = 5e^sin(0) = 5e^0 = 5. Therefore, y0 = 5.

To find the function p(x), we can rearrange the given equation into the form dx/dy = -p(x)y. Comparing this with the initial value problem, we can see that p(x) is the coefficient of y in the equation, which is 0. Hence, p(x) = 0.

The given equation, 5e^sin(2x), is the solution of the initial value problem: dx/dy + p(x)y = 0, y(0) = y0. To find y0, we substitute x = 0 into the equation. Simplifying, we get y0 = 5.

To find p(x), we rearrange the equation as dx/dy = -p(x)y. Comparing this with the initial value problem, we can see that p(x) is the coefficient of y in the equation, which is 0.

Hence, p(x) = 0.

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Answer:

10

Step-by-step explanation:

because

60:6=10

every team has the same number of players

(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)

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Answer:

10

Step-by-step explanation:

no. of teams=6

no. of players=60

no. of players in each team=60/6=10

Answer:

1 solution:  (1, 4)

Step-by-step explanation:

The two lines shown intersect ONCE, at (1, 4).  This (1, 4) is the solution.  There is only one solution.

Answer:

9.4 ounces of oat meal

Step-by-step explanation:

37.6 x 10 = 376

4 x 10 = 40

we do this to get rid of the decimal

376/40=188/20=94/10=47/5=9(2/5)=9.4 ounces of oat meal

Answer: 4.1 inches

Step-by-step explanation:

From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.

The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.

Therefore, x:205 = 1:50

Cross multiply

x/205 = 1/50

50x = 205

x = 205/50

x = 4.1 inches

The answer is 4.1 inches

Answer:

75

Step-by-step explanation:

8% of x =6

8x/100=6

x=600/8=75

Answer:

\(\frac{100}{8}\) = 12.5

/\

8*12.5

/\

6*12.5

/\

75

The value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

Given: Points P and Q are separated by 17 units. The coordinates of point P are (5, 5) and point Q are (-3,y).

Using the distance formula,

PQ = \(\sqrt{(x_{2}-x_{1})^2 - (y_{2}-y_{1})^2}\)

17   = \(\sqrt{(-3-5)^2 - (y-(-5))^2}\)

17  = \(\sqrt{-8^2-(y+5)^2}\)

17²  = 64 - y² +25 +10y

289-64-25 = - y² + 10y

y² + 10y - 200 = 0

On solving the quadratic equation we get,

y = -20, 10

Therefore, the value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

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Answer:0.5, 0.5

Step-by-step explanation:

Given

\(P(A\cap B)=0.25\)

Also, A and B are independent events. So, we can write that

\(P(A\cap B)=P(A)\times P(B)\)

\(0.25=P(A)\times P(B)\)

So, the two most possible value of \(P(A)\ \text{and}\ P(B)\) are \(0.5\ \text{and}\ 0.5\)

Answer:

8.

Step-by-step explanation: Start at 8 and go up until 15. boom, you hit the dot at 15. Simple.

the binary representation of 63.25 as 111111.01.

To convert the decimal number 63.25 to binary, we need to convert the integer part (63) and the fractional part (0.25) separately.

1. Converting the integer part (63):

  Divide 63 by 2, and keep track of the remainders:

  63 ÷ 2 = 31 (remainder 1)

  31 ÷ 2 = 15 (remainder 1)

  15 ÷ 2 = 7 (remainder 1)

  7 ÷ 2 = 3 (remainder 1)

  3 ÷ 2 = 1 (remainder 1)

  1 ÷ 2 = 0 (remainder 1)

  The remainders in reverse order give us the binary representation of the integer part: 111111.

2. Converting the fractional part (0.25):

  Multiply 0.25 by 2 and record the whole number part:

  0.25 × 2 = 0.5 (0)

  0.5 × 2 = 1.0 (1)

  The whole number parts give us the binary representation of the fractional part: 01.

Putting the integer and fractional parts together, we have the binary representation of 63.25 as 111111.01.

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The binary representation of the decimal number 63.25 is 111111.01.

To convert the decimal number 63.25 to binary, we need to separate the whole number part and the fractional part.

Whole Number Part:

Divide the whole number part (63) by 2:

Divide the quotient (31) by 2:

Divide the quotient (15) by 2:

Divide the quotient (7) by 2:

Divide the quotient (3) by 2:

Divide the quotient (1) by 2:

Reading the remainders in reverse order, the binary representation of the whole number part is 111111.

Fractional Part:

To convert the fractional part (0.25) to binary, we multiply the fractional part by 2 and note the whole number part of the result. Repeat this process until the fractional part becomes 0 or until the desired precision is achieved.

Multiply the fractional part (0.25) by 2:

Multiply the fractional part (0.5) by 2:

Since the fractional part becomes 0, we stop the process.

Reading the whole number parts in order, the binary representation of the fractional part is 01.

Combining the binary representation of the whole number part and the fractional part, the binary representation of the decimal number 63.25 is 111111.01.

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To arrive at school on time with 40 minutes available, you would need to maintain an average speed of 22.5 miles per hour.

To calculate the average speed needed to arrive at school on time, we need to determine the distance traveled and the time available.

Given that you live 15 miles from school and have 40 minutes until school starts, we can convert the time to hours by dividing by 60:

40 minutes = 40/60 = 2/3 hours

Now, we can use the formula speed = distance/time to find the required average speed:

Average speed = 15 miles / (2/3 hours)

= 15 miles * (3/2) hours

= 22.5 miles per hour

It's important to note that this calculation assumes a constant speed and doesn't account for factors such as traffic or stops along the way. Adjustments may be necessary to ensure a timely arrival based on real-world conditions.

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The fixed cost for suit is $125 and for every additional day, the cost can be calculated as 30*x.

Therefore, the total cost is the sum of the fixed cost ($125) and the additional cost per additional day ($30x). So, the total cost y is:

y = 125 + 30x

To calculate the total cost after 3 days, we need to replace x by 3 on the initial equation as:

y = 125 + 30*3

y = 125 + 90

y = 215

Answers: 21. y = 125 + 30x

22. $215

Therefore , the solution of the given problem of arithmetic mean comes out to be  a 5000th term = 44995

The sum of all values in a list multiplied by the total no. all items in the list yields the arithmetic average, often known as the group's means. The growth in arithmetic follows a similar pattern. The following equation + 7 + 9 equals 21, but 21 multiplied by 3 (there's several currently three numbers) equals 7, proving that the mean of the numbers 5, 7, while 9 is 4, and the median of the real numbers 5, 8, and 9 is 3.

Here,

Given : sequence is -

=> 4, 13, 17, 18,21...….

a = 4

d = 9

for

=>  a 5000th term  =  a + 4999d

=> a 5000th term  =  4 + 4999*9 = 44995

Therefore , the solution of the given problem of arithmetic mean comes out to be  a 5000th term = 44995

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The approximate population of the town in 14 years is 40802.

The formula P(1 - r)^t is used to calculate the population of a town that declines continuously at a rate of r each year. In this scenario, the initial population of the town is 68,172 and the rate of decline is 3.6% each year, for a total of 14 years.

Applying the formula, the population of the town in 14 years is 40,802. This answer makes sense as the rate of decline is 3.6%, so after 14 years the population should be significantly lower than the original population of 68,172.

We use the formula P(1 - r)^t to calculate the approximate population of the town in 14 years.

P(1 - r)^t = 68,172(1 - 0.036)^14 = 40802

Therefore, the approximate population of the town in 14 years is 40802.

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The necessary explanation is that segment BP is congruent to segment BP, which is the common side of both triangles.

Two figures or items are congruent in geometry if they have about the same size, or if one has the same shape and size as its mirror counterpart.

As seen in the illustration, segment BP and segment BP are congruent since segment BP is the common side of both triangles BPS and BPY.

As a result, the necessary explanation seems to be that segment BP is congruent to segment BP and that segment BP is the identical side of both triangles.

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Answer:

5/12

Step-by-step explanation:

5/12

Answer: second option (3*10^17)

Step-by-step explanation:

I don't have an explanation bc I used a calculator lol

Answer:

3 * 10^17

Step-by-step explanation:

9.3 / 3.1 = 3

34-17 =17

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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Answer: left one is no solution and right one is infinite solutions

explanation: the left one the lines don’t touch at all which has no solution and the right one means that both lines are on top of each other

In the first graph, there are ''No solution.''

In the second graph, there are ''Infinitely solution.''

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Now,

For the first graph;

In this graph we can see that there are two parallel lines.

We know that two parallel lines never intersect.

Therefore, we never get any common coordinate for this.

Thus, This system has ''No solutions.''

For the second graph;

There is a single straight line is given.

We know that each point be the solution of this line and a line contains infinitely many pints.

Thus, it has ''infinitely many solutions.''

Hence, The first graph is shows the ''No solution'' and the second graph is shown the ''infinitely many solutions.''

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The perimeter is the distance all the way around. So it's the sum of the lengths of all 4 sides.

From the picture, you can clearly see the lengths of all 4 sides.

Writum down and adum up !

Answer 63

Step-by-step explanation:

it will take around 63 months

Answer:

1. 6890

2. 6790

3. 6670

4. 6560

5. 6450

Step-by-step explanation:

The sοlutiοn(s) οn the graph are x = -4, 2.

In mathematics, a graph is a diagram οr visual representatiοn οf facts οr values that is οrdered. The pοints οn a graph are typically used tο depict the relatiοnships between twο οr mοre things. Graph theοry is the study οf graphs, which are mathematical structures that are used tο depict pairwise interactiοns between οbjects. A graph in this sense is made up οf vertices and edges.

A graph is an οrdered graphic οr visual representatiοn οf facts οr values in mathematics. The relatiοnships between twο οr mοre οbjects are οften shοwn by the pοints οn a graph.

The study οf graphs, which are mathematical representatiοns οf pairwise interactiοns between things, is knοwn as graph theοry. Vertices and edges make up a graph in this cοntext.

From the given graph we conclude following -

\(\frac{1}{4}x^2 = -\frac{1}{2}x + 2\\x^2 + 2x - 8 = 0\\x^2 + 4x - 2x - 8 = 0\\x(x + 4) - 2(x + 4) = 0\\(x + 4)(x - 2) = 0\\x = 2, -4\)

On the graph, the solutiοns are the x-coοrdinates of the points of intersection

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The number of pounds of copper in 120 pounds of brass is 78 pounds.

Given that, a certain type of brass contains 65% copper.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

120 pounds of the brass given

Number of pounds of copper

= 65% of 120

= 65/100 ×120

= 0.65 ×120

= 78 pounds

Hence, the number of pounds of copper in 120 pounds of brass is 78 pounds.

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The probability that the mean number of overtime hours will exceed 9.3 hours was determined. was the probability a right-tailed.

The mean overtime hours for the sample will exceed 9.3 hours is:

P(\(\bar x\) > 9.3) = 0.333

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

Given that,

mean = \(\mu\) = 9.2

standard deviation = \(\sigma\) = 1.6

n = 49

\(\mu\bar x\) =  \(\mu\) = 9.2

\(\sigma\bar x\) = \(\sigma / \sqrtn = 1.6 / \sqrt49 = 0.2286\)

This is a right-tailed test

P(\(\bar x\) > 9.3) = 1  - P(\(\bar x\) < 9.3)

= 1 - P[(\(\bar x\) - \(\mu\bar x\)) / \(\sigma\bar x\)< (9.3 - 9.2) / 0.23]

= 1 - P(z < 0.43)

Using the z table,    

= 1 - 0.667

= 0.333

That is a right-tailed,

Hence, the probability that the mean number of overtime hours will exceed 9.3 hours was determined. was the probability a right-tailed.

and,

The mean overtime hours for the sample will exceed 9.3 hours is:

P(\(\bar x\) > 9.3) = 0.333

Hence,

The mean overtime hours for the sample will exceed 9.3 hours is:

P(\(\bar x\) > 9.3) = 0.333

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The answer to your question is, The pool dropped 1.38/16 inches per hour.

The duration of the compression event is  100 degrees of crankshaft rotation by using the number of degrees of crankshaft rotation between the point where the intake valve closes (IVC) and the point where the exhaust valve opens (EVO).

To determine the duration of the compression event, we need to find the number of degrees of crankshaft rotation between the point where the intake valve closes (IVC) and the point where the exhaust valve opens (EVO).

Intake valve opens (IVO) at 8 degrees before top dead center (BTDC)

Intake valve closes (IVC) at 50 degrees after bottom dead center (ABDC)

Exhaust valve opens (EVO) at 50 degrees before bottom dead center (BBDC)

Exhaust valve closes (EVC) at 8 degrees after top dead center (ATDC)

First, we need to determine the position of the piston at each of these valve events. We know that the stroke of the engine is 180 degrees, so we can use this information to calculate the position of the piston at each event:

IVO: piston is at 8 degrees BTDC

IVC: piston is at 180 - 50 = 130 degrees ATDC

EVO: piston is at 180 + 50 = 230 degrees ATDC

EVC: piston is at 360 - 8 = 352 degrees BTDC

To find the duration of the compression event, we need to calculate the number of degrees of crankshaft rotation between IVC and EVO. We can do this by subtracting the position of the piston at IVC from the position of the piston at EVO:

Duration of compression event = EVO - IVC

= 230 - 130

= 100 degrees

Therefore, the duration of the compression event is 100 degrees of crankshaft rotation.

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Answer:

0.18

Step-by-step explanation:

Answer:

.18

Step-by-step explanation:

The experiment occurred 45 times, lemon was selected 8 times.

Probability the next chew will be lemon:

8/45=0.17777... = .18