The volume of a cylinder is given by the formula V = ²h,
where r is the radius and h is the height of the cylinder.
Determine the volume of a soup can with a 3-inch radius and
a 5.5-inch height.
Use 3.14 for T.
a 145.51 in ³
b 245.51 in ³
c 103.62 in ³
d 155.43 in ³
Activate
Go to Settin

The change in the amount of water in the pool is the difference between the amount of water that enters and leaves the pool

Change in volume of water in the pool after 112 minutes is \(\underline{-117\frac{1}{3}}\) gallons

Reason:

The given parameters are;

The volume volume of entering the pool = 10 3/4 gallons per minute

The volume of water leaving the pool = 12 1/3 gallons per minute

Required:

The change in the amount of water in the pool after 112 minute

Solution:

The volume of water, V₁, that enters the pool in 112 minute is given as follows;

The volume of water, that enters the pool, V₁ = 1,204 gallons

The volume of water, V₂, that  leaves the pool in 112 minute is given as follows;

The volume of water, that that leaves the pool, V₂ = 1,381\(.\overline 3\) gallons

The change in the amount of water in the pool after 112 minutes, ΔV, is given as follows;

ΔV = V₁ - V₂

Change in volume of water in the pool after 112 minutes, ΔV = \(\underline{-117\frac{1}{3}}\) gallons

Learn more here:

https://brainly.com/question/17037198

The probability of producing less than 239,000 barrels is 0.8413.

The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
You can learn more about probability at: brainly.com/question/30034780

#SPJ11

The first partial derivatives of the function are: the derivative with respect to x is yz + 3x²z, the derivative with respect to y is xz + 3xy², and the derivative with respect to z is xy + 3yz².

To find the first partial derivatives of the function f(x, y, z) = xyz + xy³ + yz³ + zx³, we differentiate the function with respect to each variable separately while treating the other variables as constants.

Let's find the partial derivatives:

1. Partial derivative with respect to x (fx):

  To differentiate with respect to x, treat y and z as constants:

  fx = yz + 3x²z

2. Partial derivative with respect to y (fy):

  To differentiate with respect to y, treat x and z as constants:

  fy = xz + 3xy²

3. Partial derivative with respect to z (fz):

  To differentiate with respect to z, treat x and y as constants:

  fz = xy + 3yz²

Therefore, the first partial derivatives are:

fx = yz + 3x²z

fy = xz + 3xy²

fz = xy + 3yz²

Learn more about derivative here: https://brainly.com/question/32963989

#SPJ11

Answer:

The dealer's profit percentage is 7.692%

Step-by-step explanation:

18 × 65 = 1170

He spent Rs.1170

12 × 75 = 900

60 × (18-12) = 360

900 + 360 = 1260

He got a profit of Rs.90.

1170 × (1 + x/100) = 1260

1 + x/100 = 14/13

x/100 = 1/13

x= 7.692307692

Answer:

7.7%

Step-by-step explanation:

spent= Rs. 65*18= Rs. 1170

earned= 12*Rs. 75+6*Rs. 60= Rs. 1260

profit= Rs. 1260- Rs. 1170= Rs. 90

profit %= 90/1170*100%= 7.7%

Answer:

\(-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2\)

Step-by-step explanation:

From smallest to largest:

\(-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2\)

Answer:

2.83

Step-by-step explanation:

d= Square root of (x2 - x1 )^2 +( y2- y1)^2

from the point given you

x1= -6

y1 = -17

x2 = -8

y2 = -19

by applying the formula

Square root of ( -8 - (-6))^2 + ( -19 - (-17))^2

Square root of (-8+6) + (-19+17)^2

The common difference is 8.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

We have given sequence:

8,16,24,32..

We have to find the common difference in the sequence.

The given sequence is:

8,16,24,32..

16-8=8

24-16 = 8

32-24 = 8

So, the common difference is 8.

To lean more on Arithmetic progression click:

brainly.com/question/28898589

#SPJ1

The statements about least squares regression analysis is true are I and III.

The statistical technique of regression analysis demonstrates the link between two or more variables. The method evaluates the relationship between a dependent variable and independent factors, and is frequently presented as a graph.

You can anticipate the effects of the independent variable on the dependent one by creating a regression analysis. For instance, we can claim that a linear regression model can adequately account for age and height.

Here,

From the given information in the question:

The statements I and III are correct.

And the statements are:

A point with a large residual is an outlier and the removal of an influential point from the data set could change the value of the correlation coefficient.

So, the statements  I and III are correct for the given information in the question.

To know more about regression analysis, visit:

https://brainly.com/question/28298210

#SPJ1

Answer:

885.45

Step-by-step explanation:

Testuo monthly payments will be around 885$

It is a fee paid for borrowing money or other assets.

• the amount borrowed is called the principal.

•  the interest is expressed as a percentage rate of the principal

for a given time interval.

It is given that

Value of the car = $32000

Time period of loan repayment = 36 months

T = 3 years

Rate of Interest = 6.71%

10% down amount from 32000  =  3200 $

So the amount he is putting for finance = 32000 - (0.1 × 32000)

                                               = $28800

Rate of interest can be calculated from

I = P x R x T

I = Interest, P = Principle, R = Rate, T = Time

= (6.71 * 28800 * 3)/(100*12)

= $ 483.12

This is total interest for an year

In one month, rate of interest

= 483.12/12

 = $40.26

The principal amount that will be payable per month

= 28800/36

= $800

Total amount payable will be

= $ ( 800 + 40.26 )

= $840

Hence, we can conclude, Tetsuo needs to pay $840.26 as monthly installments, so in the options given it is 885$

To know more about interest

https://brainly.com/question/13324776

#SPJ2

Answer:

(a) The total amount paid for the boat by Jina is $16,753.8 (b) the total interest paid on loan is $953.8.

Note: Kindly find an attached copy of the complete question below

Sources: The complete question was researched from Quizlet

Step-by-step explanation:

Solution

Given that

The fishing boat price =15,800

Jina made a down payment of =$3600 (took out the loan for the rest)

Thus

The rest amount = Loan amount

= (15,800 - 3600)

=$12,200

Now

Jina monthly payments  = $219.23 for 5 years

Jina total payment = $219.23 * 12 * 5

=$13,153.8

Thus

Jina 's down time payment + Total payment of loan becomes:

=( $13,153.8 + $3600)

=$16,753.8

(a) Jina's total amount paid for the boat  is $16,753.8

(b) The total interest paid on loan is given below:

=($$16,753.8 - $15,800)

= $953.8

The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.

Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.

In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.

Learn more about map on:

https://brainly.com/question/4289712

There are 324 different dessert menus possible for the week, considering the restriction that there must be cake on Friday and no dessert can be repeated two days in a row.

To determine the number of different dessert menus for the week, we can approach the problem systematically.

Since there are four options for dessert each day (cake, pie, ice cream, or pudding), and the same dessert may not be served two days in a row, we need to consider the dessert choices for each day of the week.

Let's start with the restriction that there must be cake on Friday due to a birthday. We have three options for dessert on the other six days (excluding Friday) because we cannot repeat the dessert from the previous day.

To count the number of dessert menus, we can consider the choices for each day of the week starting from Sunday:

1. Sunday: There are four options for dessert since no dessert has been served yet.

2. Monday: There are three options left since we cannot repeat Sunday's dessert.

3. Tuesday: There are three options available, excluding Monday's dessert.

4. Wednesday: There are three options remaining, excluding Tuesday's dessert.

5. Thursday: There are three options available, excluding Wednesday's dessert.

6. Friday: There must be cake, so only one option is available.

To find the total number of dessert menus, we multiply the number of options for each day:

4 options × 3 options × 3 options × 3 options × 3 options × 1 option = 324 dessert menus

Therefore, there are 324 different dessert menus possible for the week, considering the restriction that there must be cake on Friday and no dessert can be repeated two days in a row.

Each dessert menu represents a unique combination of desserts for each day of the week, satisfying the given conditions.

In conclusion, the dessert chef has 324 different dessert menu options for the week, ensuring a variety of desserts and fulfilling the requirement of having cake on Friday.

Learn more about restriction here

https://brainly.com/question/28368825

#SPJ11

Answer:169

Step-by-step explanation:13 x 13 = 169

You would take the larger side of the pen (13) or else it wouldn’t fit if you chose 10.

1999, is the smallest value of n for which Sₙ( sum of sequence terms ) >10000.

The best way to solve this problem is to write down the series and try to find out some pattern follows by terms , hopefully you can find a pattern (for example, you have a repeating series of numbers).

4, 7, 1, 8, 9, 7, 6, 3, 9, 2, 1, 3, 4, 7, 1, 8, 9, 7, 6, 3, 9, 2, 1, 3, … You can see that the sequence (4, 7, 1, 8, 9, 7, 6, 3, 9, 2, 1, 3) is repeated. There are 12 numbers in this sequence, and their sum is 60.

Divide 10,000 by 60, we get

10,000 = 60 * 166 + 40, so there are 166 sets and we need more than 40 numbers in total. Requires at least 12 x 166 = 1992 numbers and some numbers totaling over 40. Now, we have to add starting from 4, 7 such that some of adding terms reach the number >40.

4 + 7 + 1 + 8 + 9 + 7 + 6 = 42 > 40, so we need 7 more numbers. So, the total number needed for Sn > 10,000 is

1992 +7 = 1999.

To learn more about sequence, refer:

https://brainly.com/question/9296745

#SPJ4

Answer:

b

Step-by-step explanation:

The missing angle is 35° and the given triangle is scalene or obtuse.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a triangle with two angles given and a missing angle x.

Given angles are 40° and 105°.

We have to find the measure of x.

Sum of interior angles of the triangle is 180°.

40 + 105 + x = 180

145 + x = 180

x = 180 - 145

x = 35

So the missing angle is 35°.

Since all the angles of the triangle is different, the given triangle is scalene.

Similarly, since one of the angle is 105 degrees, which is obtuse, the given triangle is obtuse.

Hence the angle measure is 35° and the triangle can be classified as either obtuse or scalene.

To learn more about Angles, click :

https://brainly.com/question/13954458

#SPJ2

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

The correct answer is

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

Given that,

Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.

Because the samples of college and high school students are independent, the independent samples t-test should be utilized.

The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

To learn more about hypotheses click here:

brainly.com/question/18064632

#SPJ4

The proper null and alternative hypotheses are

\(H_{0}\) : μh = μc

\(H_{A}\) : μh - μc

The study's research wants to ascertain whether difference between the time spent by high school students and college students.

The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.

Let, H= time spent on the phone by high school students;

C= Time spent on the phone by college students; and

d=H−C

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

\(H_{0} :\) μh = μc  (time spent by high school students is equal to college students)

\(H_{A} :\) μh - μc  (difference between the time spent by high school students and college students)

To learn more about hypotheses click here:

brainly.com/question/18064632

#AAA

Answer:

g=10

b=1

m=1

Step-by-step explanation:

Answer:

base and perpendi cular

Answer:

he spends $1.5 on strawberries and $6.75 on apples

Answer:

Each team will get 3 eggs

Step-by-step explanation:

First determine the number of eggs

7 * 12 = 84 eggs

Then divide by the number of teams

84/26 =3 with 6 left over

Each team will get 3 eggs

The activation energy of the reaction is approximately 126.8 kJ/mol. The calculation was done using the Arrhenius equation and the natural logarithm of the rate constants at the two temperatures.

To calculate the activation energy of a reaction, we can use the Arrhenius equation:

k = A * e⁽⁻ᴱᵃ/ᴿᵀ⁾

where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.

We have two rate constants at different temperatures, so we can set up two equations:

k₁ = A * e⁽⁻ᴱᵃ/ᴿᵀ₁⁾

k₂ = A * e⁽⁻ᴱᵃ/ᴿᵀ₂⁾

We want to solve for Ea, so we can take the natural logarithm of both sides of each equation:

ln(k₁) = ln(A) - Ea/RT₁

ln(k₂) = ln(A) - Ea/RT₂

We can subtract the second equation from the first to eliminate ln(A):

ln(k₁) - ln(k₂) = Ea/R * (1/T₂ - 1/T₁)

Now we can solve for Ea:

Ea = -R * (ln(k₁) - ln(k₂)) / (1/T₂ - 1/T₁)

Plugging in the given values, we get:

Ea = -8.314 J/mol/K * (ln(6.20 x 10⁻⁴) - ln(2.39 x 10⁻²)) / (1/760 K - 1/700 K)

Ea ≈ 126.8 kJ/mol

Therefore, the activation energy of the reaction is approximately 126.8 kJ/mol.

Learn more about logarithms here: brainly.com/question/30085872

#SPJ4

Answer:

Step-by-step explanation:

The numbers 1, 7, and 8 are used to obtain this sum. The possible combination is (1+7+8). So, the sixth sum is 16.

To find the sixth sum, we can analyze the given information step by step.

1. We start by creating a 3x3 table and assigning the natural numbers 1 to 9 to each cell.

1 2 3

4 5 6

7 8 9

2. Let's examine the given sums:

    12: We can have (1+2+9) or (3+4+5).

    13: We can have (2+3+8) or (1+4+8).

    15: We can have (3+5+7).

    16: We can have (1+6+9) or (2+4+10).

    17: We can have (1+7+9) or (3+6+8).

    Now, let's consider the remaining unused numbers: 6 and 10.

The sum that includes the number 6 would be (2+6+9), which is equal to 17. However, since 17 is already listed as one of the given sums, we can conclude that the sixth sum does not include the number 6.

Now, let's consider the number 10. If the sixth sum includes 10, then the sum would be (4+5+10), which equals 19. Since 19 is not mentioned among the given sums, we can conclude that the sixth sum does not include the number 10 either.

Therefore, we have deduced that the sixth sum must include the remaining numbers: 1, 7, and 8. The only possible combination with these numbers is (1+7+8), which equals 16.

Thus, the sixth sum is 16.

To know more about natural numbers visit:

https://brainly.com/question/1687550

#SPJ11

Answer:

For the first question, the answer is 32 oz.

For the second question, the answer is 16 oz.

Step-by-step explanation:

For the first one, since there are 16 ounces in a pound, we can assume that since she has 3 pounds of fudge, she would have 48 ounces. She then eats one pound of fudge, which means we subtract 16 from 48 getting us to 32 ounces.

For the second question, it states that she gives one half of her fudge to her sister. 2 times 1/2 is 1, and since there are 16 ounces in a pound, she therefore gave 16 ounces of fudge to her sister.

Answer:

1. 32 ounces

2. 16 ounces

Step-by-step explanation:

First, you have to subtract. The equation for the subtraction is 3-1 because the student took 1 pound of fudge away from the 3 pounds she already has. And 3-1 equals 2. Now, you have to convert 2 pounds to ounces. Lastly, multiply 2 by 16 as it says in the picture (it says 16 ounces equals 1 pound). The answer to this equation can be expressed as 32 or 32 ounces.

First, you have to take information from the previous question which is that she has 2 pounds of fudge left. Then, she gives \(\frac{1}{2}\) of the fudge to her sister, so you have to divide 2 by \(\frac{1}{2}\) which is 1. Now, you have to express 1 as ounces as shown in the picture. You just have to multiply 1 by 16 which is 16. Therefore the answer can be expressed as 16 or 16 ounces.