A mailing service places a limit of 30 in. on the combined length and girth of (distance around) a package to be sent parcel post. What dimensions of a rectangular box with square cross-section will contain the largest volume that can be mailed? (Hint: There are two different girths.)

Based on the angle at m∠ABC=30° and the length of BD, the length of AD can be found to be 18 cm.

From the description of the shape:

AB = AD + BD

So we try to find AB.

∠BDC

Cos 30° = 54/BC

(√3) / 2 = 54/BC

BC = 36√ 3

This allows us to find ∠ACB

Cos30° = BC / AB

(√3) / 2 = (36√ 3) / AB

AB = 72

Now that we have AB, AD is:

72 = AD + 54

AD = 18 cm

Full question is:

In the right △ABC, CD is the altitude to the hypotenuse AB and m∠ABC=30°. Find AD, if BD=54 cm.

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Answer:

Is this multi-choice? all but C are correct.

Step-by-step explanation:

the small two is 'to the power of two' so that number times itself once.

-3x-3 is 9

-2x-2 is 4

-1x-1 is 1 (less than two)

-4x-4 is 16

Answer:

which grade u r in I'm in 10th grade and Indian

Answer:

303

Step-by-step explanation:

This is an arithmetic sequence or pattern. for this we need to find out the pattern going up.

Working Out

   73 × 4 = 292

15 + 292 = 307    (15 is the first number we add 15 to it.)

  307 - 4 = 303    (15 is the first number so we need to add 72 more places,

not 73 like we did.)

good luck!

-cheesetoasty

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

The conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Let's suppose P(A) is the probability of adults who lift weights regularly.

P(A) = 18% = 0.18

Similarly,

P(B) = 32% = 0.32

P(A∩B) = 0.07

We know:

\(\rm P(A|B) = \dfrac{P(A\cap B)}{P(B)}\)

\(\rm P(A|B) = \dfrac{0.07}{0.32}\)

P(A|B) = 0.219  or

P(A|B) = 21.9%

Thus, the conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.

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Answer 77=80 92=90 84=80 97=100 71=70 88=90

Step-by-step explanation:

Answer:

No this is not a function because of the two 4 in the x values.

Answer:

Plane A because it was 27.43 miles away

Step-by-step explanation:

~Kandy~

hope this helped!

brainliest please!

lol, just answered my own question.

Multivariate Data Analysis with Readings" is a valuable resource for anyone looking to learn about multivariate data analysis and its applications.

Hair, black, Babin, and Anderson are terms that relate to the book "Multivariate Data Analysis with Readings (4th Edition)" by Joseph F. Hair Jr., Rolph E. Anderson, William C. Black, and Barry J. Babin.

This book was published by Prentice-Hall in 1995 and is available as a PDF. "Multivariate Data Analysis with Readings" is a comprehensive guide to the concepts and techniques used in multivariate data analysis. It covers a range of topics, including exploratory data analysis, regression analysis, principal component analysis, and factor analysis.
The book also includes a variety of case studies and examples to help readers understand how to apply these techniques to real-world data. It is intended for students and researchers in fields such as business, marketing, psychology, and social sciences.
Overall, "Multivariate Data Analysis with Readings" is a valuable resource for anyone looking to learn about multivariate data analysis and its applications.

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Given:

The function is

\(f(x)=x^2+3\)

To find:

The slope of the tangent line at x = 11.

Solution:

The slope of the tangent is the value of f'(x) at x=11.

We have,

\(f(x)=x^2+3\)

Differentiate with respect to x.

\(f'(x)=2x+0\)              \(\left[\because \dfrac{d}{dx}x^n=nx^{n-1},\dfrac{d}{dx}C=0,\text{ where C is constant}\right]\)

\(f'(x)=2x\)

Substitute x=11 in the above equation.

\(f'(11)=2(11)\)

\(f'(11)=22\)

Therefore, the slope of the tangent at x=11 is 22.

The null hypothesis is \(H_0:\mu=3\) and the alternative hypothesis is \(H_1:\mu > 3\)

There are two hypothesis considered in a statistical test. They are:

Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.

Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.

Here the sociologist is carrying out the test on the mean number of cars, \(\mu\).

So to check whether the families own more than 3 cars in average,

the null hypothesis will be ,\(\bold{H_0:\mu=3}\)  

and the alternate hypothesis will be,  \(\bold{H_1:\mu > 3}\)

So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.

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The term number for the term with a value of 268 cannot be solved due to insufficient information given. We can see that 4 + 11 = 15 is the common difference between the following words in the sequence.

The formula for the nth term of an arithmetic sequence can be used to determine the term number for the term with the value 268:

a n = a 1 + (n - 1)d

If n is the term number we're looking for, a 1 is the first term, and d is the common difference.

Inputting the values provided yields:

268 = -7 + (n - 1)15

When we simplify and solve for n, we obtain:

275 = 15n

n = 18.33

It must be a positive integer since n stands for the term number. Therefore, we can conclude that the term with a value of 268 is not part of the given sequence.

Hence, the answer is (A) Cannot be solved due to insufficient information given.

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A. If the radius of the sphere is r, what is the height of the cylinder H=4√r

B The volume of the sphere will be V=4πr³

Volume is defined as the space occupied by any object in the three-Dimenions. All three parameters are required for the volume like length, width and height of cube or cuboid.

Here for the part A If the radius of the sphere is r, what is the height of the cylinder the solution will be given as:-

The Volume of sphere = Volume of cylinder

4πr³=(π÷4) r²H

H=16r

H=4√r

Hence the height of the cylinder will be H=4√r

B. The volume of the shapes will be given as:-

(1) Volume of cylinder = (π÷4)r²H

Here r= radius of the cylinder

H = height of the cylinder

(2) The Volume of the Sphere=4πr³

Here r= radius of the cylinder

(3) The Volume of cone=(1÷3)πr³l

Here r = radius of the base

l=slant height of the cone

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The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

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Step-by-step explanation:

I have the feeling there is something missing here.

because all we see is

(x + 3) + 4y

and there is nothing to combine or multiply. all we can do is remove the brackets :

(x + 3) + 4y = x + 3 + 4y

The probability of the sets are solved and

a) n(P U Q) = 85%

b) n(P ∩ Q) = 20%

c) n(only P) = 35%

d) n(only Q) = 30%

Given data ,

P and are the subsets of universal set U

And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%

Now , we'll use the formula for the union and intersection of sets:

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(only P) = n(P) - n(P ∩ Q)

n(only Q) = n(Q) - n(P ∩ Q)

We're given that:

n(P) = 55%

n(Q) = 50%

n(P U Q)' = 15%

To find n(P U Q), we'll use the complement rule:

n(P U Q) = 100% - n(P U Q)'

n(P U Q) = 100% - 15%

n(P U Q) = 85%

Now we can substitute the values into the formulas above:

(i)

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(P ∩ Q) = 55% + 50% - 85%

n(P ∩ Q) = 20%

(ii)

n(P ∩ Q) = 20%

(iii) n(only P) = n(P) - n(P ∩ Q)

n(only P) = 55% - 20%

n(only P) = 35%

(iv)

n(only Q) = n(Q) - n(P ∩ Q)

n(only Q) = 50% - 20%

n(only Q) = 30%

Hence , the probability is solved

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Answer:

-13/24

Step-by-step explanation:

find the common denominator then add

Answer:

1) 10 miles

2) 6 inches

Answer:

see my questions please come

Answer:

Step-by-step explanation:

1). There is 5 hours between 8:15 A.M. and 3:15 P.M.

7 × 60 - 10 = 410 minutes

2). 6 hours and 50 minutes

3). Right angle (90°)

4). Obtuse angle (120°)

The  value when placed in the box, would result in a system of equations with indefinitely many solutions y = -2x+4 6x+3y is 12.

The system of equations that have an infinite number of solutions is called dependent equations. The two equations have an infinite number of solutions if they represent the same line.

Therefore, in the given system of equations:y = -2x + 46x + 3y = 12x - 2,

Find the value that would result in a system of equations with an infinite number of solutions.There are different methods to find the solution of the above system of equations. Let's use the substitution method in this case.

Substitute y = -2x + 4 in the second equation:6x + 3y = 12x - 2 becomes 6x + 3(-2x + 4) = 12x - 2.

After solving it, you get 0 = 0.This is true for all values of x and y, therefore, there are an infinite number of solutions. Thus, the value that would result in a system of equations with an infinite number of solutions is any value of x.The option that has any value of x is 12. Therefore, the answer to the problem is 12.

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Answer:

Sarah will walk 8 miles.

Hope this helps :D

Step-by-step explanation:

The quantity of groceries a person may buy for $90 is determined by numerous factors, including the cost of food in the locality, the sorts of goods desired, and the quantities required.

Yet, assuming an average grocery cost and no notable price variations, a person may buy a reasonable number of goods for $90. To figure out how many foods you can get for $90, make a list of the things you need and their costs, which will help you estimate your overall spending. Once you've made your list, you may go to your local grocery shop and buy the products on it while staying within your budget. The quantity of items you will be able to purchase for $90 will depend on the prices of items you choose to buy, and the quantity of each item you need.

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Step-by-step explanation:

straight angle a + 117 = 180

a = 180 - 117

= 63

total angle in triangle = 180

63 + b + 81 = 180

b = 180 - 63 - 81

= 36

Answer:

b = 36°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle , then

b + 81° = 117° ( subtract 81° from both sides )

b = 36°

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

The sine function graphed is defined as follows:

C. y = sin(x).

The standard definition of the sine function is given as follows:

y = Asin(Bx).

For which the parameters are given as follows:

(as the function crosses it's midline at the origin, it has no phase shift).

The function oscillates between y = -1 and y = 1, for a difference of 2, hence the amplitude is obtained as follows:

2A = 2

A = 1.

The period is of 2π/3 units, hence the coefficient B is given as follows:

B = 3.

Then the equation is:

y = sin(3x).

Meaning that option C is the correct option for this problem.

The graph is given by the image presented at the end of the answer.

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Answer:

B)  Function B

Step-by-step explanation:

The first one is obviously EXPONENTIAL ...for each 'x'   ,  y = x^2

the second one is   y = 8/5 x     a line with slope 8/5  <=====linear

A loan fee is an amount a consumer pays for a loan. This includes taking out a car loan, credit card, or mortgage. Common loan fees include interest rates, origination fees, service fees, late fees, etc. Gross Loan Fees are typically associated with your credit card and consist of any outstanding balance plus any other fees incurred if you carry overdue amounts to your credit card.

If you know three numbers related to your credit card account: credit card (or loan) balance, APR, and billing cycle length, you can calculate your loan fees.

Current Balanced Owned =$785

APR = 24.42%

Let’s suppose the billing cycle is 30 days, then

Finance charge = $15.76

The new balance you owe = $800.76.

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