two half-cylinders of diameter 2 meet at a right angle in the accompanying figure. find the volume of the solid region common to both half-cylinders. (hint: consider slices parallel to the base of the solid.)

Answers

Answer 1

The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.

Given that,

In the following figure, two half-cylinders of diameter 2 come together at a right angle.

We have to determine the solid region's common volume for the two half-cylinders. (Hint: Take into account slices that are parallel to the solid's base.)

We know that,

Using the Pythagoras theorem,

S²+x²=r²

Diameter=2

2r=2

r=1

S²+x²=1

S²=1-x²

S=√(1-x²)

[tex]\int\limits^1_0 {Area(x)} \, dx[/tex]

4[tex]\int\limits^1_0 {1-x^{2} } \, dx[/tex]

4(x-x³/3)₀¹

4(1-1/3)

4(2/3)

8/3

Therefore, The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.

To learn more about diameter visit: https://brainly.com/question/5501950

#SPJ4


Related Questions

Find an expression that produces a quotation of 9 R15 . Write the expression in the box


Pls help me :,)

Answers

The numerical will be equal to 159 ÷ 16 and the polynomial will be (9x +15)/x.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

In comparison to the divisor, the dividend will be 15 times greater. It seems that you are free to select any divisor. It must be more than 15 if the divisor is totally numerical.

Numerical:

Divisor = 16,

so we have,

(9×16 +15) ÷ 16

= 159 ÷ 16

Polynomial:

The simplest divisor we can have is a single variable: x.

(9x +15)/x

To know more about Expression:

https://brainly.com/question/14083225

#SPJ1

Please help me with explanation

Answers

Answer:

[tex]5c+\frac{9-8c}{24}[/tex]

Step-by-step explanation:

Simplify

[tex]5c+\frac{1*(\frac{3}{4}-\frac{2c}{3} )}{2}[/tex]

[tex]5c+\frac{9-8c}{24}[/tex]

which test should be used to determine if a difference exists between the proportion of all ucf and usf students who prefer to use hand sanitizer?

Answers

the proportion of all ucf and usf students who prefer to use hand sanitizer is in between 2.646% and 7.65%

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

When there are multiple alternatives accessible, hypothesis testing is utilised. To decide whether to accept or reject the null hypothesis, the z test is performed in the mean, which determines the t value. This value is then compared with the p value. The alternate explanation in this case is mu, which is represented. For P1 and P2, the 90% confidence interval is (- 0.0765, 0.02646).

Hence, the proportion of all ucf and usf students who prefer to use hand sanitizer is in between 2.646% and 7.65%

Learn more about z test, by the following link.

brainly.com/question/17144617

#SPJ4

35+6x-2=13x+12 solve for x

Answers

Answer:

x = 3

Step-by-step explanation:

Solve for x:

35 + 6x - 2 = 13x + 12

Simplifying on the left side:

33 + 6x = 13x + 12

Subtracting 33 on both sides:

6x = 13x - 21

Subtracting 13x on both sides:

-7x = -21

Dividing by -7 on both sides:

x = 3

A satellite flies 136640136640 miles in 17. 817. 08 hours. How many miles has it flown in 9. 879. 87 hours?.

Answers

If a satellite flies 136640 miles in 17.8 hours then in 9.87 hours the satellite flows down to 75766.6 miles

Given that:

A satellite flies 136640 miles in 17.8 hours

We will find the unit rate first,

Unit rate = 136640/17.8

Unit rate = 7676.40 miles per hour.

Miles flown in 9.87 hours,

Miles flown = 7676.40 × 9.87

Miles flown = 75766.6 miles

Hence Miles flown in 9.87 hours is 75766.6 miles

Learn more about Unit rate here:

brainly.com/question/19493296

#SPJ4

11. BC
5/4y-1
B
A
7/3y-2
C

Answers

Answer:

[tex]\frac{2}{13}[/tex]

Step-by-step explanation:

All the sides have equal lengths.  Set the two sides equal to each other and solve for y

[tex]\frac{5}{4}[/tex]y + 1 = [tex]\frac{7}{3}[/tex]y  -2  I am going to clear the fractions by multiplying through by 12

[tex](\frac{12}{1})[/tex][tex]\frac{5}{4}[/tex] y + (12)(-1) = [tex](\frac{12}{1})[/tex][tex]\frac{7}{3}[/tex] y - (12)2

15y - 12 = 28y - 24  Subtract 15y from both sides

-12 = 13y - 24  Add 24 to both sides

12 = 13y  Divide both sides by 13

[tex]\frac{12}{13}[/tex] =  y

Plug 12/13 into the expression for either side to find the length of BC.  All the sides have the same length

[tex]\frac{7}{3}[/tex][tex](\frac{12}{13})[/tex]  -  2

[tex]\frac{28}{13}[/tex] - [tex]\frac{26}{13}[/tex] = [tex]\frac{2}{13}[/tex]

Given two rectangular ducts with equal cross-sectional area but different aspect ratios (width/height) of 2 and 4 which will have the greater frictional losses? Explain your answer

Answers

The frictional loss will be greater for aspect ratio of 2 as friction will be more when the height of the duct is higher compared to the increase in width.

In a straight duct with constant cross sectional area , the velocity of the water is changed. The change in static pressure is the frictional loss .

In the duct the energy is constant. Therefore when water moves upwards with the increase in height the frictional loss or the pressure loss will be more more.

When width increases there will be less pressure, So frictional loss will be increased with height.

Let the width and height be a and b respectively.

now area = ab

and a\b =2

or, a = 2b

again a\b = 4 or, a = 4b

if ab is constant then the height for the aspect ratio of 4 is greater.

Therefore there will be more frictional loss for the increased height.

To learn more about frictional loss visit:

https://brainly.com/question/27829571

#SPJ4

the mass of a bag of flour is 7kg 500g. Joyce repacks the flour into 12 small packs of equal mass. What is the mass in kilograms of each small pack of flour

Answers

Answer:

I'm pretty sure it's 0.625kg

Step-by-step explanation:

There are 1000g in 1kg so 7kg would be 7000g plus 500g which is 7500g.

7500g divided by 12 is 625g. Divide by 1000 to get kg and you get 0.625kg.

Hope this helps!

an architect is making a floor plan for a rectangular gymnasium. if the gymnasium is 80 feet long and 60 feet wide, what will the distance be between opposite corners?

Answers

In the gym, there are 100 feet between the opposing corners.

Given,

The length of the rectangular gymnasium = 80 feet

The width of the rectangular gymnasium = 60 feet

We have to find the distance between opposite corners of the gymnasium;

Here,

The distance between opposite corners of the gymnasium is the diagonal of the rectangle;

Diagonal of rectangle = [tex]\sqrt{width^{2} + length^{2} }[/tex]

Then,

Diagonal = [tex]\sqrt{80^{2} +60^{2} }[/tex]

Diagonal = [tex]\sqrt{6400+3600}[/tex]

Diagonal = √10000

Diagonal = 100 feet

That is,

The distance between the opposite corners if the gymnasium is 100 feet.

Learn more about diagonal of rectangle here;

https://brainly.com/question/22530917

#SPJ4

the faces of each of two fair dice are numbered 1, 2, 3, 5, 7, and 8. when the two dice are tossed, what is the probability that their sum will be an even number?

Answers

The probability that the sum will be an even number on the toss of two dice is  5/9 .

In the question ,

it is given that ,

the numbers on the faces of the dice are 1, 2, 3, 5, 7, and 8 .

the probability of getting an odd number first is = 4/6 = 2/3,

the probability of getting an even number first is = 2/6 = 1/3,

To get an even, we must get either 2 odds or 2 evens.

The probability of getting 2 odds is 4/6 × 4/6 = 16/36 .

The probability of getting 2 evens is 2/6 × 2/6 = 4/36.

If we add them together,

we get ,

= 16/36 + 4/36

= 20/36

= 10/18 = 5/9

Therefore , the required probability is 5/9  .

Learn more about Probability here

https://brainly.com/question/14986190

#SPJ4

What is the value of x?


Enter your answer in the box.

x =[ ]

Answers

Answer:

(2x+2)=(3x-52)

2x+2=3x-52

2x-3x=-52-2

-x=-54

x=54

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7 and each adult ticket sells for $9. There was a total of $543 in revenue from the sale of 67 total tickets. Write a system of equations that could be used to determine the number of student tickets sold and the number of adult tickets sold. Define the variables that you use to write the system.

Answers

The no of student ticket, x = 30

The no of adult ticket, y = 37

What is equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth. When two expressions are joined together by the equals sign ("="), the result is an equation.

The drama club is selling tickets to their play to raise money for the show's expenses.

Let the student ticket be represented as x and adult ticket as y

Cost of student ticket,x = $7

Cost of adult ticket,y = $9

The total number of tickets, x + y = 67 ... (1)

There was a total of $543 in revenue from the sale of 67 total tickets.

7x + 9y = 543 ...(2)

Multiplying eq(1) by 7, we get

7x + 7y = 469 ...(3)

Subtract eq (3) from (2), we get

2y = 74

y = 37, sub in eq (1)

x = 30

The no of student ticket, x = 30

The no of adult ticket, y = 37

To learn more about equation from the given link  

https://brainly.com/question/15833335

#SPJ1

Answer: Let s= the number of student tickets sold Let

               Let a=the number of adult tickets sold

  7s+9a=543

  s+a=67

Step-by-step explanation:

john drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. what was his average speed for the whole journey?

Answers

The average speed of John for the whole journey is 54km/h.

What is the average speed?

Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.

Speed is the rate of movement of something at a specific time.

Average speed refers to the average speed over the course of a journey.

So, the average speed will be:


Distance = speed x time

d₁ = v₁ x t₁

d₁ = 50 x 3

d₁ = 150 km

d₂ = v₂ x t₂

d₂ = 60 x 2

d₂ = 120 km

So,

D = d₁ + d₂

D = 150 + 120

D = 270 km

Utilizing the S formula:

S = D/ T

S = 270 / 5

S = 54 km/hr

S = 54km/hr

Therefore, the average speed of John for the whole journey is 54km/h.

Know more about the average speed here:

https://brainly.com/question/4931057

#SPJ4

Product filling weights are normally distributed with a mean of 350 grams and a standard deviation of 10 grams. a. Develop the control limits for the $\oveline x$ chart for samples of size 10, 20, and 30. b. What happens to the control limits as the sample size is increased? c. What happens when a Type I error is made? d. What happens when a Type II error is made? e. What is the probability of a Type I error for samples of size 10, 20, and 30? f. What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased?

Answers

The control limits for the x chart for a sample of size 10,

a-Develop the control limits for the $\oveline x$ chart for samples of size 10, 20, and 30

UCL = 359.48

LCL = 340.51

b. What happens to the control limits as the sample size is increased

The control limits for the x chart for a sample of size 20,

UCL = 356.71

LCL = 343.29

c-What happens when a Type I error is made

The control limits for the x chart for a sample of size 30,

UCL = 355.47

d- What happens when a Type II error is made? e. What is the probability of a Type I error for samples of size 10, 20, and 30

LCL = 344.52

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event.

The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events.

Probability generally refers to the degree to which something is likely to occur.

This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

1. this question concerns the group z26 under addition modulo 26. a) list the elements of this group. b) is this group cyclic? c) is 16 a generator of this group? what about 5?

Answers

The element of this group is {0, 1, 2, 3, ...., 25}, this group is a cyclic group, and 16 is not a generator for this group but 5 is a generator for this group.

How to find element of group under addition modulo?

[tex]Z_{26}[/tex] ≡ Group of integers under addition modulo 26

addition modulo is all addition of integer in ordinary way than remove integral multiple. For example, addition modulo a+mb is a+b than remove all integral multiple m and the result is lower than m (residue).

a) The elements of this group is all the integers remainder after mod 26. So,

x = k (mod 26) where 0 ≤ k < 26

or we can write each of them as {0, 1, 2, ..., 23, 24, 25}

b) Cyclic group is a group that is generated by 1 element. Since, the group is integers under addition modulo with all integers can be generated by adding 1 repeatedly, so the group [tex]Z_{26}[/tex] is cyclic group.

c) As 1 ∈ [tex]Z_{26}[/tex] but there is no m ∈ N such that [tex]16^m[/tex] = 1, but for [tex]5^m[/tex] is

{0, 5, 10, 15, 20, 25, 4, 9, 14, 19, 24, 3, 8, 13, 18, 23, 2, 7, 12, 17, 22, 1, 6, 11, 16, 21}

or in simply way, we can say there is m ∈ N for [tex]5^m[/tex] = 1. So, 16 is not generator of this group, but 5 is generator of this group.

Thus, the number of {0, 1, 2, 3, ...., 25} is the element for this group, cyclic group is a type of this group, and 5 is a generator for this group but 16 is not a generator for this group.

Learn more about cyclic group here:

brainly.com/question/28875300

#SPJ4


11. MARINE BIOLOGY Killer whales usually swim at a
rate of 3.2-9.7 kilometers per hour, though they can travel
up to 48.4 kilometers per hour. Suppose a migrating killer
whale is swimming at an average rate of 4.5 kilometers per
hour. The distance d the whale has traveled in t hours can
be predicted by the equation d = 4.5t.
a. Graph the equation.
b. Use the graph to predict the time it takes the killer
whale to travel 30 kilometers.

Answers

The graph of linear function d = 4.5t and the time to cover 30km is 6.67s

Linear Function

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here;

m = slopeb = y-intercept

The linear function given in the question is;

d = 4.5t

a) The graph of the function d = 4.5t is attached below.

b) The time it takes to cover 30km will be

d = 4.5t

30 = 4.5t

t = 30 / 4.5

t = 6.67 s

The time it takes to cover a distance of 30km is 6.67s

Learn more on linear function here;

https://brainly.com/question/15602982

#SPJ1

you toss a fair coin 9 times. find the probability of no more than 8 heads given that at least one toss resulted in heads.

Answers

The probability of no more than 8 heads given that at least one toss resulted in heads will be 511/512.

What is probability ?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

A coin has two possibility, either head or tail.

So, there will be 2 possible outcomes when a coin is tossed.

hence, Total no. of outcomes (T) =  2^9. = 512

  Now,  Probability of getting one tail = 1/2^9 = 1/512

and, Probability of getting at most 8 heads

       = 1 - Probability of getting one tail

       = 1 - 1/512

       = 511/512.

Learn more about Probability from the link given below:

https://brainly.com/question/13604758

#SPJ4

Bro please help and tell me how to do this with the steps!

Answers

For ΔDEF , Length of shorter side = 6, Length of medium side = 8 , Length of longer side = 12.

For ΔGHI , Length of shorter side = 9, Length of medium side = 12 , Length of longer side = 18.

For ΔJKL , Length of shorter side = 3/2, Length of medium side = 2 , Length of longer side = 3.

What are Similar Triangles ?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

In the given figure below, two triangles ΔABC and ΔXYZ are similar only if,

i)       ∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z

ii)       AB/XY = BC/YZ = AC/XZ (Similar triangles proportions)

Hence, if the above-mentioned conditions are satisfied, then we can say that ΔABC ~ ΔXYZ

It is interesting to know that if the corresponding angles of two triangles are equal, then such triangles are known as equiangular triangles. For two equiangular triangles we can state the Basic Proportionality Theorem (better known as Thales Theorem) as follows:

For two equiangular triangles, the ratio of any two corresponding sides is always the same

Given that ,

For ΔABC , Length of shorter side = 3, Length of medium side = 4 , Length of longer side = 6.

Now,

For ΔDEF ,

Scale Factor = 2

Length of shorter side = 2*3 = 6, Length of medium side =2*4 = 8 , Length of longer side =2*6 = 12.

For ΔGHI ,

Scale Factor = 3

Length of shorter side = 3*3 = 9, Length of medium side =3*4 = 12 , Length of longer side =3*6= 18.

For ΔJKL ,

Scale Factor = 1/2

Length of shorter side =3*1/2 = 3/2, Length of medium side =4*1/2= 2 , Length of longer side =6*1/2= 3.

Learn more about Similar Triangles at :

https://brainly.com/question/14285697

#SPJ1

If I’m doing fractions on a number line how do I do thirds

Answers

Answer:

Step-by-step explanation:

it would be devided into 3 sections so the thing would look like this

M is the midpoint of AC. A is (3, -9) and C is (-5, 16). Solve for the following

Answers

Answer:

[tex]M=\left(-1, \dfrac{7}{2} \right)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}[/tex]

Given endpoints:

A (3, -9)C (-5, 16)

Substitute the given points in the midpoint formula:

[tex]\implies M=\left(\dfrac{x_C+x_A}{2}, \dfrac{y_C+y_A}{2} \right)[/tex]

[tex]\implies M=\left(\dfrac{-5+3}{2}, \dfrac{16+(-9)}{2} \right)[/tex]

[tex]\implies M=\left(\dfrac{-2}{2}, \dfrac{7}{2} \right)[/tex]

[tex]\implies M=\left(-1, \dfrac{7}{2} \right)[/tex]

Please help i really need it only number 4

Answers

Answer:

  (2)  11

Step-by-step explanation:

You want the area of the triangle with vertices (1, 3), (3, -1), and (-2, -2).

Pick's theorem

Pick's theorem says the area of a figure drawn on a grid can be found by counting the grid points on the boundary (b) and the interior grid points (i). Then the area is ...

  A = (b/2) +i -1

This figure has a boundary grid point at (2, 1) in addition to the three vertices. So, b = 4.

There are 10 interior grid points, a number that can be arrived at by counting them. The numbers in each row, starting from the bottom, are 4, 3, 2, 1.

Then the area is ...

  A = (4/2) +10 -1 = 11

The area of the triangle is 11 square units.

From Coordinates

The area can be computed from the coordinates by the formula ...

  A = 1/2|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|

  A = 1/2|1(-1 -(-2)) +3(-2 -3) +(-2)(3 -(-1))| = 1/2|1 -15 -8| = 11

The area is 11 square units.

Using geometry

The triangle can be bounded by a square 5 units on a side. The triangle area is smaller than the square area by the sum of the three triangles cut from the corners of the square. Clockwise from left, those triangle areas are ...

  1/2(5·3) +1/2(4·2) +1/2(1·5) = 1/2(15 +8 +5) = 14

Then the area of the triangle of interest is ...

  5² -14 = 11

The area of the triangle is 11 square units.

Using trigonometry

The angle the bottom edge makes with the horizontal is ...

  arctan(1/5) ≈ 11.3099°

and the length of that edge is ...

  5/cos(11.3099°) ≈ 5.099

The angle the left side makes with the horizontal is ...

  arctan(5/3) ≈ 59.0362°

and the length of that edge is ...

  3/cos(59.0362°) ≈ 5.831

The area of the triangle with sides 'a' and 'b' and angle C between them is ...

  Area = 1/2(ab·sin(C)) = 1/2(5.099·5.831·sin(59.0362° -11.3099°)) = 11

The area of the triangle is 11 square units.

__

Additional comment

Side lengths could also be determined using the Pythagorean theorem, and the angle between any two of them could be found using the Law of Cosines.

Heron's formula could be used to find the area from the three side lengths.

a city hosted a music festival that included three concerts. according to the sales database, 28% of the audience attended the first concert, 42% attended the second one, 30% attended the third one, 80% attended at least one of the three concerts, 10% attended the first and second ones, 8% attended the first and third ones, and 7% attended the second and third ones. find the probability that a randomly selected audient attended all the concerts? assume event a: an audient attended the first concert; event b: an audient attended the second one; event c: an audient attended the third one.

Answers

Probability that randomly selected audient attend all the concerts is 0.05.

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

P(A) = 28/100 = 0.28

P(B) = 42/100 = 0.42

P(C) = 30/100 = 0.30

P(A∩B) = 10/100 = 0.10

P(A∩C) = 8/100 = 0.08

P(B∩C) = 7/100 = 0.07

P(A∪B∪C) = 80/100 = 0.80

P(A∩B∩C) = ?

P(A∪B∪C) = P(A) + P(B) + P(C) - P(A∩B) - P(A∩C)  - P(B∩C) + P(A∩B∩C)

P(A∩B∩C) = - 0.28 - 0.42 - 0.30 + 0.10 + 0.08 + 0.07 + 0.80

= 0.05

Probability that randomly selected audient attend all the concerts is 0.05.

To know more about probability check the below link:

https://brainly.com/question/24756209

#SPJ4

When 10 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution.

Answers

The positive solution is 5.

given,

When 10 is subtracted from a number's square, the result is three times the number.

let x be the number

according to given statement the quadratic equation will be

[tex]x^2-10=3x\\\\x^2-3x-10\\\\x^2+2x-5x-10=0\\\\x(x+2)-5(x+2)=0\\\\(x-5)(x+2)=0\\\\x=5\ or\ -2[/tex]

Thus, the positive solution is 5.

To learn more about quadratic equations refer here

https://brainly.com/question/26090334

#SPJ4

how many 1/4 lbs are in 80 lbs

Answers

Answer:

640 1/4 lbs

Step-by-step explanation:

100x100x325x1773x3.44554x34444x6i78754x23324

Answers

Answer:

1.097174699×10^²⁶

Step-by-step explanation:

100×100×325×1773×3.44554×34444×6878755×23324=

1.097174699×10^²⁶

A seasoning blend is 4\%4%4, percent onion powder, by mass. How much pure onion powder should they include in a 72\,\text{g}72g72, start text, g, end text bottle to make the final blend have 20\ , percent onion powder? khan academy

Answers

They need to put 14.4 grams of onion powder in each bottle.

Given,

The quantity of onion powder in a seasoning blend = 4%

We have to find the quantity of pure onion powder should they include in a 72g bottle to make the final blend have 20% onion powder;

How much is a percentage?

A percentage is a certain number or part in every hundred. It is a fraction with the denominator 100, and the symbol for it is "%."

Here,

Let x be the seasoning blend.

Now, 4% of 72=20% of x

⇒ 0.04×72=0.2×x

⇒ 0.2x=2.88

⇒ x=2.88/0.2

⇒ x=14.4 g

Therefore, a container should contain 14.4 grams of onion powder.

Learn more about quantity of onion powder here;

https://brainly.com/question/29332582

#SPJ4

Express the triple integral f(x, y, z)dV as an iterated integral in cylindrical coordinates for the given function f and solid region E
Evaluate the iterated integral.
f(x, y, z) = xy ZA 256-x-y? -y E == x + y ? 0

Answers

The triple integral f(x, y, z)dV for the following function f is 256π(256 - x - y)² as an iterated integral in cylindrical coordinates.

The iterated integral in cylindrical coordinates is given by:

∫∫∫f(ρ, θ, z)dV = ∫∫∫xρcos(θ)ρsin(θ)zdρdθdz

Evaluating the integral yields:

∫∫∫f(ρ, θ, z)dV = 256π∫zdz

= 256πz²

= 256π(256 - x - y)²

learn more about integral here

https://brainly.com/question/22008756

#SPJ4

Can someone help me with this??

Answers

Step-by-step explanation:

H is the plan

F is the side

A is the plan

hope it helps.. please mark brainliest

What is the approximate speed of sound in the experimental medium ( speed = frequency X wavelength )

Answers

The speed will be calculated by the formula by the product of frequency and wavelength.

What is the speed of sound?

The speed of sound is the distance travelled by a sound wave per unit of time as it propagates through an elastic medium. At 20 degrees Celsius, the speed of sound in air is approximately 343 metres per second or one kilometre in 2.91 seconds or one mile in 4.69 seconds.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The speed of the sound will be calculated by the multiplication of frequency and wavelength.

To know more about the speed of sound follow

https://brainly.com/question/16012426

#SPJ1

If the bond angle between two adjacent hybrid orbitals is 180°, which is the hybridization?.

Answers

If the bond angle between two adjacent hybrid orbitals is 180 degree then the hybridization  is sp hybridization , it forms linear molecules with an angle of 180°.

Hybridization is a theory that is used to explain certain molecular geometries that would have not been possible otherwise.

In sp hybridization, the s orbital of the excited state carbon is mixed with only one out of the three 2p orbitals. It is called sp hybridization because two orbitals (one s and one p) are mixed.

The resulting two sp hybrid orbitals are then positioned at 90 degree and 180 degree, respectively, with the two 2p unhybridized orbitals:

To learn more about hybridization

brainly.com/question/16305420

#SPJ4

Other Questions
The two most important Greek city-states between 700 and 500 B.C. were:MiletusThebesAthensSparta mrs. ash, a client in her 50s, has told the nurse during her most recent visit to the clinic that she and her circle of friends have discontinued breast self-examination (bse) since hearing and reading that the practice is now considered ineffective. how can the nurse best respond to mrs. ash? Solve for x. Round to the nearest tenth of a degree, if necessary. You own an ice cream store and are concerned that an employee may be giving generous scoops to friends and family and smaller scoops to some other customers. This may be reducing sales. In this example, you are the a patient comes to the ed stating that he suddenly became deaf. it is determined that his wife has recently asked for a divorce. what is the basis for the possibility that this patient is experiencing a conversion disorder A car battery is rated at 40 Ah. In theory, how long does this suggest the battery could light a headlamp bulb which draws 2 A from the battery? the flavian amphitheatre was created by a flavian emperor to appease the roman public after the disastrous reign of nero. what is a more common name for this work? a 1.5 kg 1.5 kg ball rotates on the end of a 3 m 3 m string in a vertical circle with a speed of 7 m/s 7 m/s. what force does the ball exert on the rope at the top of the vertical circle? what is a common mistake that small-business owners make when their businesses begin growing? grey company signs a 10-year franchise agreement with doh donuts. grey (the franchisee) makes payments of $3,000 per year for the first 8 years of the franchise agreement ancient hawaiian society was based on a strict caste system ruled over by a political specialist to whom commoners paid tribute. they were a a. chiefdom. b. band. c. tribe. d. state. The open source movement makes _____ available to everyone in an effort to continue to build and improve the functionality of open source software. macrovision hosts free internet seminars that will help businesses improve lead generation and client relationships. another name for these internet seminars are: A group of students were investigating the force of gravity. They began by dropping a foam ball from a height of 3 meters into a bucket of sand. The ball hit the sand in 0. 306 seconds. They dropped additional balls of approximately the same diameter, but of different masses. Here is the data they collected. Based on this experiment and the collected data, what would their conclusion be?. All of the following are operating budgets except the sales budget b. operating expenses budget e. budgeted income statement d. cash budget A circle has a circumference of 6. It has an arc of length 1. What is the central angle of the arc, in degrees? the majority of crashes are caused by . a) environmental factors b) vehicle equipment problems c) pedestrians d) driver errors If 6a = 5b, what are the following ratios?2a:7b The periodic table is an arrangment of the chemical elements, ordered by atomic number, into families, and by doing so illustrates the periodic properties of the elements. Considering the organization of the periodic table, which element would make a good conductor of electricity? what properties of that element would support this choice?. 1. What are the 5 pieces of evidence that prove a chemical change has taken place?