If QV=3p–49, RU=p+27, and ST=p+39, what is the value of p?

Answer:

1. 167.55

2. 10.77

Step-by-step explanation:

For #1 use the formula for volume of cone: \(V=\pi r^2\frac{h}{3}\), and for #2 use the Pythagorean Theorem: \(a^2+b^2=c^2\)

Start ( 10, -9)

Bakery ( 11, -8)

End (12 , -7)

Distance = [(x2 - x1)^2 + (y2 - y1)^2] ^1/2

Distance from S to B

[(11-10)^2 + (-8- (-9))^2]^1/2

[ 1 + 1 ] ^ 1/2

2 ^ 1/2

Distance from B to E

[(12-11)^2 + (-7-(-8))^2]^1/2

[ 1 + 1] ^1/2

2^1/2

Distance from S to E

[(12-10)^2 + (-7 - (-9))^2]^1/2

[4 + 4]^1/2

8^1/2

ratio

2^1/2 / 8^1/2

= 1/2

the ratio could also be the reverse

8 ^1/2 / 2^ 1/2

= 2

Answer:

1/2 and 2

The given differential equation is y(4) − 8y‴ + 16y″ = 0.

It is a homogeneous differential equation of degree 4.

Therefore, its characteristic equation will be (m^4 - 8m^2 + 16) = 0.

By simplifying the equation, we can write (m^2 - 4)^2 = 0. From this, m^2 = 4, and m = ±2 (double root).

So, the solution of the differential equation is y(x) = c1 e^(2x) + c2 x e^(2x) + c3 e^(-2x) + c4 x e^(-2x).

Now we have to use the given initial conditions to find the values of the constants c1, c2, c3, and c4.

y(0) = 9, y'(0) = 13, y''(0) = 16, and y'''(0) = 0.

Substituting these values, we get:

y(0) = c1 + c3 = 9

(i) y'(0) = 2c1 + 2c2 - 2c3 - 2c4 = 13

(ii) y''(0) = 4c1 + 4c2 + 4c3 + 4c4 = 16

(iii) y'''(0) = 8c1 - 8c3 = 0 (iv)From

(iv) we get: c1 = c3.

Substituting this value in (i), we get: 2c1 = 9 or c1 = 4.5.

Using this value of c1 in (iv), we get:

c3 = 4.5.

Using these values of c1 and c3 in (ii), we get:

4.5 + c2 - 4.5 - c4 = 6.5 or

c2 - c4 = 2.

Using these values of c1, c2, c3, and c4 in (iii), we get:

18 + 8c2 + 18 = 16 or c2 = -1.

Using this value of c2 in (ii), we get:

4.5 - c4 = 3 or c4 = 1.5.

So, the solution of the differential equation with the given initial conditions is:

y(x) = 4.5 e^(2x) - x e^(2x) + 4.5 e^(-2x) + 1.5 x e^(-2x).

Hence, the required function y(x) is obtained.

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Answer:

Every integer greater than 1 is either prime or composite.

Step-by-step explanation:

Let us negate this statement.

Assumption - any number greater than 1, is neither prime nor composite.

A prime number has only 2 divisors, and a composite number has at least 3.

Let a number be X such that X >1.

Now X is divisible by 1 (Any integer is divisible by 1)

And X is divisible by X (X/X = 1, if X is not zero)

So by this, we see X has at least 2 divisors, X is either prime, or composite if it has more divisors!

So our assumption is wrong, and every integer greater than 1 is either prime or composite.

Could you please provide the units

The logons to a computer entwork follow a poisson process with an average of 4 logons per minute then the mean time between counts is 0.25 minutes

Let X ~ Pois(λ)

Then we have:

E(X) = λ = Var(X)

Since standard deviation is square root (positive) of variance,

Thus,

Standard deviation of X = √λ

Its probability function is given by

f(k; λ) = Pr(X = k) = (λ^ke^(-λ)/k)

Using the above facts and other facts to calculate the needed information

Since it is given that the log-ons follow Poisson distribution, thus, we have:

Counts per minute = C ~ Pois( λ  = 4)

Time per count = T ~ Pois(λ = 1/4)

Mean time between counts = λ  = 1/4 = 0.25 minutes approx.

Thus, the logons to a computer entwork follow a poisson process with an average of 4 logons per minute then the mean time between counts is 0.25 minutes

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A: The probability that the player gets a move on 3 is 3:42  that is 1:14.

To get into this solution , we first determine all the possible outcomes.

With one dice there are 6 possible outcomes .

With two dice there are 36 possible outcomes because of the combination of the 6 outcomes from each die.

This means there are 36 + 6 = 42 total possible outcomes.

Probability of getting 3 when  one dice is rolled - 1:6.

Probability of getting 3 in two dice is rolled-

There are two possible combinations that is - [(1,2) , (2,1)].

This means there are total of 3 outcomes out of 42 possible outcomes.

Hence the probability that the player gets a move on 3 is 1:14.

B: For a roll(sum) between 5 and 6, a biased coin would give the player an advantage.

A biased coin would give the player an advantage because the player can select one die and improve their odds of getting a 5 or a 6 , which is less likely when rolling two dice.

If the biased coin allows the player to choose two die, the odds of getting a 5 or a 6 is 1:4, a simplification of 9 desired outcomes out of a possible 36.

When rolling two dice , there are 36 possible combinations. The combinations that can result in total of 5 or 6 are [(1,4) , (4,1) , (2,3) , (3,2) , (1,5) , (5,1) , (2,4) , (4,2) , (3,3)].

As the player would want to have a better chance of getting a 5 or a 6, they would want to roll one die.

Knowing the outcome of a biased coin would allow them to choose the side that results in rolling one die rather than two.

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Answer:

14905

Step-by-step explanation:

Use Calculator. Round to the nearest dollar

The amount of money that Ariana needs to invest today in order to reach $25,000 in 14 years is $14,913.

In order to determine the amount of money that Ariana should invest today, the present value of $25,000 has to be determined.

The formula that can be used to determine the present value is:

P = FV / (1 + r)^nm

Where:

P = 25,000 / (1.00308)^(12 X 14) = $14,913

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Answer: "add by>" ; "65>" ; "go" im pretty sure

Step-by-step explanation:

my brain

Answer:

answer is 7.5

hopes this helps

Answer:

7.5%

Step-by-step explanation:

1.2 divided by 16 equals 0.075

then multiply by 100 equals 7.5%

The type of function that fits the given description is D. Exponential decay.

In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.

Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.

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\(\\ \sf\longmapsto 14.3-4.1\)

\(\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}\)

\(\\ \sf\longmapsto \dfrac{143-41}{10}\)

\(\\ \sf\longmapsto \dfrac{102}{10}\)

\(\\ \sf\longmapsto 10.2\)

Answer:

1 : 10

Step-by-step explanation:

Let :

Water = x

Milk = y

Purchase = 6.4 * y = 6.4y

Sales = 8(x + y)

Profit accrued = 37.5%

Sales = profit made from sales

8(x + y) = 6.4x * (100%+37.5%)

8(x + y) = 6.4x * 1.375

8x + 8y = 8.8x

8y = 8.8x - 8x

8y = 0.8x

y/x = 8/0.8

y/x = 10 / 1

y : x = 10 : 1

A prediction interval provides a wider range to capture future variation compared to a confidence interval.

A confidence interval and a prediction interval have a common objective: to estimate a range of values that likely includes an unknown population parameter.

Both intervals incorporate uncertainty and are used in statistical inference. However, the key difference lies in their interpretations and applications.

A confidence interval provides an estimate for a population parameter (e.g., mean) based on sample data, expressing the level of confidence in the estimated range. It conveys the precision of the estimate but does not directly involve forecasting future observations.

In contrast, a prediction interval is used for forecasting future observations or individual data points.

It estimates a range within which a future observation is expected to fall, taking into account both the uncertainty of the parameter estimate and the inherent variability of individual data points.

Thus, a prediction interval provides a wider range to capture future variation compared to a confidence interval.

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The equity of the entity, according to the basic accounting equation, is R6 000. The basic accounting equation is Assets = Liabilities + Equity. To find the equity of the entity, we need to subtract the total liabilities from the total assets.

Bank balance: R5 000

Machinery balance: R3 000

Trade payables: R2 000

Total assets = Bank + Machinery

            = R5 000 + R3 000

            = R8 000

Total liabilities = Trade payables

                 = R2 000

Equity = Total assets - Total liabilities

      = R8 000 - R2 000

      = R6 000

Therefore, the equity of the entity, according to the basic accounting equation, is R6 000.

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Answer:

i think its a

Step-by-step explanation:

Answer: The bench would cost about 396$

hope I helped you :D

Answer:

the bench costs $350

Step-by-step explanation:

Let's assume cost of table be T and bench be B

therefore,                 T+B= 746        ...........(1)

while we are given    T= B+46     ............(2)

                                  using (2) in (1)

                              [B+46] + B =746

                               2B= 700

                        B=350

So, cost of bench= $350

A car traveling at 60 miles per hour will travel distance of 66 feet before the driver reacts to an obstacle.

To convert miles per hour to feet per second, we need to multiply by the conversion factor of 1.4667 (since 1 mile = 5280 feet and 1 hour = 3600 seconds, 5280/3600 = 1.4667).

Therefore, a car traveling at 60 miles per hour is traveling at 88 feet per second.

Using the given reaction time of 3/4 of a second, the distance traveled before the driver reacts is:

distance = rate x time = 88 feet/second x 3/4 second = 66 feet

Hence,

A car traveling at 60 miles per hour will travel a distance of 66 feet before the driver reacts to an obstacle.

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Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

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The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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1) Since this investment has been in an account with 12% compound interest per year, then we can write out the following:

a) Note that there was no withdrawal during this first year.

b) To find out the amount of money over a course of this time 2 years, then we can write out the following:

In this case, it is also compounded per year. Just the period (t) is greater than the other one.

So, we can tell the following about the earnings of this investment:

Minimal sedation is characterized by c) less than 50% N2O in the first stage of the continuum.

Minimal sedation is defined as a state in which the patient is able to respond normally to verbal commands, breathe on their own and maintain stable blood pressure and heart rate. It is achieved by administering a small dose of a sedative or anxiolytic medication.

Minimal sedation is a light form of sedation that allows the patient to remain conscious and responsive throughout the procedure, and it helps the patient to relax and reduce anxiety.

It is considered a safer option than deeper forms of sedation as the patient remains able to breathe on their own, which reduces the risk of complications. This level of sedation is often used in procedures such as dental work, minor skin procedures, and diagnostic tests.

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Answer:

F(7)= 462

Step-by-step explanation:

When you input the value 7 in for "t", you get the equation:

F(7)= \((3*7)^{2} +(3*7)\)

First solve parentheses:

F(7)= \(21^{2} +21\)

Then solve exponents:

F(7)= 441+21

Then add:

F(7)= 462

Hope this helps!:)

Answer:

-3+4x<=-11

No more than is <=

The inequality ​for the sum of-3 and four times a number is no more than -11 is -3 + 4x ≤ -1.

The relationship between two expressions or values which are not equal is called inequality. It shows how many times one expression is less than or equal, or greater than another expression.

Let the unknown variable is  \(x\).

According to the question,

The sum of -3  and four times of number be \(4x - 3\\\) is less than -11.

So, the equation will be,

\(- 3 + 4 x < -11\).

Thus, the inequality will be \(- 3 + 4 x < -11\) .

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For given isosceles triangle abc, with ab = ac and bd and ce are its two medians then bd = ce

For given question,

We have been given triangle abc is an isosceles triangle with bd = ce

bd and ce are its two medians

As bd is median, d is the midpoint of side ac.

Using midpoint property,

⇒ ad = ac

Similarly, as ce is median, e is the midpoint of side ab.

Using midpoint property,

⇒ ae = eb

For Δabd and Δace,

ab = ac                     .......................(given)

⇒ ae + eb = ad + dc

⇒ 2 ae = 2 ad

⇒ ae = ad

Also, ∠a = ∠a          ....................(common angle)

So, using SAS postulate of triangle congruence,

Δabd ≅ Δace

By Corresponding parts of congruent triangles are congruent,

⇒ bd = ce

Hence proved.

For given isosceles triangle abc, with ab = ac and bd and ce are its two medians then bd = ce

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Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Answer:

443

Step-by-step explanation:

2 hours = 120 min

1,920/60= 32 min

120+98+134+32+59= 443 total minutes

uniform distribution are (3) P(X > 0.5) = (1 - 0.5) / (1 - 0) = 0.5. (4) P(X > 0.7 | X > 0.2) = 0.3 / 0.8 = 0.375.

Uniform distribution is a continuous probability distribution that is characterized by a constant probability density function between two parameters. In this case, the parameters for the uniform distribution X are 0 and 1.

To verify if uniform distribution has memoryless property, we need to check if the probability of an event occurring in the future is independent of the time that has already passed. The memoryless property states that the conditional probability of an event occurring in the future given that it has not occurred in the past is the same as the unconditional probability of the event occurring in the future.

For Question 3, we need to find the probability that X is greater than 0.5. Since X follows a uniform distribution between 0 and 1, the probability can be calculated as the area under the curve of the probability density function between 0.5 and 1. Therefore, P(X > 0.5) = (1 - 0.5) / (1 - 0) = 0.5.

For Question 4, we need to find the probability that X is greater than 0.7 given that X is greater than 0.2. Using Bayes' theorem, we can calculate this as follows:

P(X > 0.7 | X > 0.2) = P(X > 0.7 and X > 0.2) / P(X > 0.2)

Since X follows a uniform distribution, we can simplify this as:

P(X > 0.7 | X > 0.2) = P(X > 0.7) / P(X > 0.2)

Using the formula for a uniform distribution, we can calculate the probabilities as:

P(X > 0.7) = (1 - 0.7) / (1 - 0) = 0.3
P(X > 0.2) = (1 - 0.2) / (1 - 0) = 0.8

Therefore, P(X > 0.7 | X > 0.2) = 0.3 / 0.8 = 0.375.

In conclusion, we can verify that uniform distribution has memoryless property because the conditional probability of an event occurring in the future given that it has not occurred in the past is the same as the unconditional probability of the event occurring in the future.

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Answer:

D

Step-by-step explanation:

fastest way to find out the answer is to replace each solution with the xs of the equation and see if it is Equal to 4. the only solution that is equal to 4 is D)1/3

Answer:

B. 45

Step-by-step explanation:

Simplyfy 74*25

1850

Now blug in all the values for the "?".

83250/45=1850

This is the only value that staifies this equaton so therefore, B 45

Answer:

45.

Step-by-step explanation:

83250/x=74*25

83250/x=1850

1850 * x = 83250

x = 83250 /1850

= 45