solve for t in the proportions

t/3 = 5/1

t= ?

Answer:

$17.25

Step-by-step explanation:

Just add all the numbers together to find the answer! <3

Answer:

-94/195

Step-by-step explanation:

Let the number be x.

x(5/2) + 2/3 = -7/13

x(5/2) = -7/13 - 2/3

x(5/2) = -21 - 26/39

x(5/2) = -47/39

x = (-47/39)/(5/2)

x = -94/195

Step-by-step explanation:

a. To find out how many hours Billy Banjo needs to work to pay for his banjo, we can set up the following equation:

$$ 6h = 300 $$

where "h" represents the number of hours Billy Banjo needs to work and 6 represents the amount of money he earns per hour.

We can solve this equation by dividing both sides by 6, giving us:

$$ h = \frac{300}{6} $$

$$ h = 50 $$

Therefore, Billy Banjo needs to work 50 hours in order to pay for his $300 banjo.

b. The equation $6h = 300$ represents the situation where Billy Banjo is trying to save money for a new banjo that costs $300, and he earns $6 per hour. The variable "h" represents the number of hours Billy Banjo needs to work in order to pay for the banjo. The left side of the equation, $6h$, represents the amount of money Billy Banjo earns in "h" hours, while the right side of the equation, 300, represents the cost of the banjo he is trying to save up for. By setting these two expressions equal to each other, we are able to solve for the value of "h," which represents the number of hours Billy Banjo needs to work in order to pay for his banjo.

The general solution to the given Cauchy-Euler equation for t > 0 is:

y(t) = C1 * t⁻⁵ + C2 * t⁴

Let's consider the given Cauchy-Euler equation for t > 0:

t²(d²y/dt²) + 2t(dy/dt) - 20y = 0

To solve this equation, we can assume a solution of the form y(t) = tⁿ, where r is a constant to be determined.

Now, let's find the derivatives of y(t) with respect to t:

dy/dt = rtⁿ⁻¹ d²y/dt² = r(r-1)tⁿ⁻²

Substituting these derivatives back into the Cauchy-Euler equation, we get:

t²(r(r-1)tⁿ⁻²) + 2t(rtⁿ⁻¹) - 20tⁿ = 0

Simplifying this equation, we have:

r(r-1)tⁿ + 2rtⁿ - 20tⁿ = 0

Factoring out tⁿ, we get:

tⁿ [r(r-1) + 2r - 20] = 0

Since t > 0 for the given equation, we can divide both sides of the equation by tⁿ to obtain:

r(r-1) + 2r - 20 = 0

Expanding and rearranging this equation, we get:

r² + r - 20 = 0

Now, we can solve this quadratic equation for r. Factoring it, we have:

(r + 5)(r - 4) = 0

Setting each factor equal to zero, we find two possible values for r:

r + 5 = 0, which gives r = -5 r - 4 = 0, which gives r = 4

These values of r represent the roots of the characteristic equation associated with the Cauchy-Euler equation. Since we have two distinct roots, the general solution to the Cauchy-Euler equation can be written as a linear combination of the corresponding solutions:

y(t) = C1 * t⁻⁵ + C2 * t⁴

Where C1 and C2 are arbitrary constants that can be determined using initial conditions or boundary conditions if provided.

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Answer:

The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M

Step-by-step

Change:

7h10= 430 mins

1 hour and 25 minutes= 85 mins

2 hours and 5 mintues= 125 mins

- Total time Ruth wants to do before his dinner reservations:

85+ 125+ 50= 260 (mins)

- The latest time Ruth's family can start their tour in order to make it to dinner on time:

430- 260= 170 (mins)

Change: 170 mins= 2 hours and 50 minutes

Good luck!

Answer:

70

Step-by-step explanation:

a. Im(Mu) = Im(Mu + iMv)

=> 0 = bv - aiv

=> Mv = -bu + av

b. G^-1MG is equivalent to the standard rotation-dilation matrix Ca,b.

a. We have the complex eigenvector u + iv with eigenvalue a - bi. By applying the matrix M to this eigenvector, we get:

Mu = M(u + iv) = Mu + iMv

Since M is a real matrix, the real and imaginary parts must be equal:

Re(Mu) = Re(Mu + iMv)

=> Mu = au + biv

Similarly,

Im(Mu) = Im(Mu + iMv)

=> 0 = bv - aiv

=> Mv = -bu + av

b. Let's consider the matrix G = [u | v], where the columns are u and v in that order. Multiplying this matrix by M, we have:

MG = [Mu | Mv] = [au + bv | -bu + av]

On the other hand, let's compute GCa,b:

GCa,b = [u | v] Ca,b = [au - bv | bu + av]

Comparing these two expressions, we can see that MG = GCa,b.

c. To show that u and v are linearly independent, we assume that there exist real numbers r and s such that ru + sv = 0. Applying the matrix M to this equation, we get:

0 = M(ru + sv) = rMu + sMv

0 = r(au + bv) + s(-bu + av)

0 = (ar - bs)u + (br + as)v

Since u and v are complex eigenvectors with distinct eigenvalues, they cannot be proportional. Therefore, we have ar - bs = 0 and br + as = 0. Solving these equations simultaneously, we find that r = s = 0, which implies that u and v are linearly independent.

d. Since u and v are linearly independent, the matrix G = [u | v] is invertible. Let's denote its inverse as G^-1. Now, we can show that G^-1MG = Ca,b:

G^-1MG = G^-1 [au + bv | -bu + av]

= [G^-1(au + bv) | G^-1(-bu + av)]

= [(aG^-1)u + (bG^-1)v | (-bG^-1)u + (aG^-1)v]

= [au + bv | -bu + av]

= Ca,b

Therefore, we conclude that G^-1MG is equivalent to the standard rotation-dilation matrix Ca,b.

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Answer: the missing part is 45

suppose:  the missing part is x

we use Thales theorem:

\(\frac{x}{18}=\frac{20}{8}\\\\=> x = \frac{20.18}{8}=45\)

Step-by-step explanation:

use thales theorem to solve this question

The probability of at least two failures is 1 minus the probability of 0 or 1 failure, which is 1 - [p^n + nqp^(n-1)].

The probability of a success in one Bernoulli trial is given by p, and the probability of a failure is q = 1 - p.

(a) The probability of no successes is (1-p)^n.

(b) The probability of at least one success is 1 minus the probability of no successes, which is 1 - (1-p)^n.

(c) The probability of at most one success is the sum of the probabilities of 0 and 1 successes, which is (1-p)^n + np(1-p)^(n-1).

(d) The probability of at least two successes is 1 minus the probability of 0 or 1 success, which is 1 - [(1-p)^n + np(1-p)^(n-1)].

(e) The probability of no failures is the same as the probability of n successes, which is p^n.

(f) The probability of at least one failure is 1 minus the probability of no failures, which is 1 - p^n.

(g) The probability of at most one failure is the sum of the probabilities of 0 and 1 failures, which is p^n + nqp^(n-1).

(h) The probability of at least two failures is 1 minus the probability of 0 or 1 failure, which is 1 - [p^n + nqp^(n-1)].

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Hermite polynomials, denoted by H(n, x), are a family of orthogonal polynomials with important applications in mathematical physics and probability theory. They are defined recursively, with base cases H(0, x) = 1 and H(1, x) = 2x. For n > 1, the recursive relation is given by H(n, x) = 2xH(n-1, x) - 2(n-1)H(n-2, x).

To implement a recursive function H that calculates the n-th Hermite polynomial at x using memoization, you can use a dictionary to store previously computed values of the polynomial. This will help in avoiding redundant computations and improve the efficiency of the algorithm.

Here's a Python implementation:

```python
def H(n, x, memo={}):
   if n == 0:
       return 1
   elif n == 1:
       return 2 * x
   else:
       if (n, x) not in memo:
           memo[(n, x)] = 2 * x * H(n - 1, x) - 2 * (n - 1) * H(n - 2, x)
       return memo[(n, x)]
```

This function takes an integer n and a double x as input and returns a double representing the value of the n-th Hermite polynomial at x. The function uses memoization to optimize performance, storing previously computed values in a dictionary called memo. This way, when encountering the same inputs again, the function can return the already computed value instead of performing the calculations anew.

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Answer:

Answer is G 1.5

Step-by-step explanation:

1. Distribute the 5 to x and 2 by multiplying. and the 7 to the 4 and -x by multiplying

2. carry over the 7x by adding it to 5x. to get x to one side.

3. subtract 10 from both side

4. Divide both side by 12

5. simplify and convert to decimal

Answer:

1,176 | 588

Step-by-step explanation:

118 + 168 + 151 + 151 = 588

588 x 2 = 1,176

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

Step-by-step explanation:

12.50

Hello! Thanks for asking this question on Brainly!

Your question is:

A store buys a shirt for $10 and marks it up 25%. What is the sale price of the shirt ?

Think of it this way. Temporarily convert the price of the shirt to $100. What’s 25% of 100? Well, 25, of course! Now add the $25 to the $100 to get $125. Now divide by ten to bring the total down to $12.50

Have a nice day!

<3

Answer:It's A I think if not try B

Step-by-step explanation:

the equation y = 4x - 3 is also not a solution for the ordered pairs y > -1/2x + 5 and y ≤ 3x - 2.

What is inequality?

Mathematical expressions with inequalities on both sides are known as inequalities. In an inequality, we compare two values as opposed to equations. In between, the equal sign is changed to a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

To determine which equation is not a solution for the ordered pairs y > -1/2x + 5 and y ≤ 3x - 2, we can substitute different ordered pairs into the equations and see if they satisfy the inequalities.

For example, the ordered pair (0, 0) satisfies the inequality y > -1/2x + 5, since 0 > (-1/2)(0) + 5 = 5, and it satisfies the inequality y ≤ 3x - 2, since 0 ≤ 3(0) - 2 = -2.

Now, let's try the equations:

y = -x + 4

y = 4x - 3

Substituting (0, 0) into y = -x + 4, we get y = -0 + 4 = 4, which does not satisfy the inequality y > -1/2x + 5, since 4 is not greater than (-1/2)(0) + 5 = 5. Therefore, the equation y = -x + 4 is not a solution for the ordered pairs y > -1/2x + 5 and y ≤ 3x - 2.

On the other hand, substituting (0, 0) into y = 4x - 3, we get y = -3, which also does not satisfy the inequalities, since -3 is not greater than 5 or less than or equal to -2.

Therefore, the equation y = 4x - 3 is also not a solution for the ordered pairs y > -1/2x + 5 and y ≤ 3x - 2.

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we have that the arithmetic sequence have:

so we can replace for n=2,3,and 4 to find the first four terms so:

for n=2

for n=3

and for n=4

So the first four numbers are

The expression for the number of non-adult sizes is s - 19.

A value or amount is represented by an expression, which is a collection of numbers, variables, and mathematical operations like addition, subtraction, multiplication, and division. Calculations, complicated mathematical equations, and issues in a variety of disciplines, including science, engineering, economics, and statistics, may all be solved using expressions. Functions that depict a connection between variables, such as sin(x) and log(x), can also be included in expressions. Expressions are frequently employed to simulate real-world circumstances and provide predictions based on mathematical analysis.

Given that the total number od sweatshirts = s.

The number of non-adult sweatshirts can be calculated by:

Number of non-adult sizes = Total number of sweatshirts sold - Number of adult sizes

= s - 19

Hence, the expression for the number of non-adult sizes is s - 19.

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Answer:

w - 8.8 > 27

Step-by-step explanation:

For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).

Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.

In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:

Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2

Denominator: x^2-16 = (x-4)(x+4)

So the fraction becomes:

(x-4)^2/(x-4)(x+4)

Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:

(x-4)/(x+4)

Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.

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The amount of customers  exceed 285 and when there are 47 tables of 4 and 16 tables of 5 the number so new customers is 17.

Given,

The numbers of customers one at a time is 285

At 12 pm it has 216 customers.

Part A :

To check new amount of customers exceeds 285 or not.

Also given 147 new customers.

So by substituting values:

216 x (1 - 1/3) + 147

= 144 + 147

= 291

Since 291 > 285

Therefore the new number of customers exceed 285.

Part B :

To find number of customers in the restaurant  when there are 47 tables of 4 and 16 tables of 5.

47 x 4 + 16 x 5

= 188 + 80

= 268

So, 285 - 268

= 17

Therefore there are  17 new customers in the restaurant.

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Answer:

Step-by-step explanation:

-9

Answer:

Step-by-step explanation:

4\(x^{2}\) - 6 = 394

4\(x^{2}\)  = 400

\(x^{2}\) = 100

x = 10

Answer:

The answer is A

Step-by-step explanation:

All of the other relations shows have duplicate numbers of x. For example, relation B has two 3s and D has two 20s. If a relation has a duplicate x, it is not a function.

Answer:

5 days.

Step-by-step explanation:

Jasmine has two options:

Rent skis at the resort for $30 per day.

Then if she rents the skis for N days, the cost will be:

C(N) = N*$30

Buy skis for $150

Now we can ignore the lift pass because she will pay that in both cases.

Now we want to find the number of days N such that the cost of renting is the same as the cost of buying.

Then we need to solve:

C(N) = $150

N*$30 = $150

N = $150/$30 = 5

So if you rent the skis for 5 days, you will pay the same as if you bought the skis.

Binomial is the name for an algebraic expression with only two terms. In mathematics the formula for a binomial is axᵐ + bxⁿ.

What is a binomial?

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form.

A binomial is a two-term algebraic expression that includes a constant, exponents, a variable, and a coefficient.

A binomial can be written as a single indeterminate as follows -

axᵐ + bxⁿ

Where m and n are non-negative distinct integers and a and b are the numbers. X can be a variable or be indefinite.

Binomials are stated in the same way in Laurent polynomials; the main distinction is that m and n may have negative exponents. Consequently, they are expressed as -

ax⁻ᵐ + bx⁻ⁿ

An example of a binomial polynomial is x² + 4x.

Therefore, binomial formula is axᵐ + bxⁿ.

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When using a frequency distribution to identify the interval containing the median, the most useful column is the cumulative frequencies (option d).

The cumulative frequencies provide the running total of the frequencies as you move through the intervals. The median is the middle value of a dataset, and it divides the data into two equal halves. By examining the cumulative frequencies, you can determine the interval that contains the median value.

The cumulative frequencies allow you to track the progression of frequencies as you move through the intervals. When the cumulative frequency exceeds half of the total number of observations (n/2), you have found the interval containing the median.

The cumulative frequencies help you identify this interval by showing you the point at which the cumulative frequency crosses or exceeds the halfway mark. By examining the interval associated with that cumulative frequency, you can determine the interval containing the median value.

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Therefore , the solution of the given problem of expressions comes out to be  students can develop their factoring abilities and avoid mistakes with practise and instruction.

Estimates that combine joining, disabling, and rather than randomly divide should be produced when variables are shifting. If they got together, they could solve a mental puzzle, provide some data, and instead software. A declaration of truth contains formulas, components, and mathematical processes like combination, subtraction, omission, and grouping. Both phrases and words can be assessed and analysed.

Here,

are some pointers to assist students B and C prevent incorrect factoring in the future:

Regularly practise factoring: Since factoring is a talent that must be honed, students should make sure to factor problems frequently. They will be better able to understand the procedure and spot trends in the expressions they are factoring as a result of this.

Verify the indications again because they are prone to error when factoring. Students should double-check their distribution of the signs and make sure no negative indicators are being left out.

Students should double-check their work by multiplying the factors back together after factoring an equation. They'll be able to correct any errors they may have made thanks to this.

If students need assistance with factoring, they should ask an instructor or tutor for assistance. Although factoring can be a challenging ability to master, students can develop their factoring abilities and avoid mistakes with practise and instruction.

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