Mathematics College

Here is the question

Answers

Answer 1

Step-by-step explanation:

the bounded region is from (0,0) to (1,1)

since the cross sections of the solid is perpendicular to the x axis and are square

so cross section area is (x-x2 )^2

so V=integral from 0-1(x-x^2)^2dx

v=integral (x^2-2x^3+x^4)dx

v=1/3x^3-1/2x^4+1/5x^5]01

v=1/3-1/2+15=1/30 unit^3

Related Questions

Help help help will give brainlest!!!!!

Answers

Answer:

1/8 hours

Step-by-step explanation:

First, we have to make our 2 fractions denominators the same to be able to subtract them! We want both of our denominators to be 8 so 5/8 already had 8 so we just need to change 1/2 to do that we are going to multiply the fraction by 4 so 1 x 4 = 4/2 x 4 = 8. Now we have 5/8 and 4/8. All we need to do now is subtract our fractions! 5/8 - 4/8 = 1/8

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

[tex]spent \:extra \: \frac{1}{8} hrs [/tex]

Step-by-step explanation:

[tex]haha.....its \: quite \: logical \\ she \:spent \: \frac{5}{8} - \frac{1}{2} = \frac{1}{8} hrs \: more.[/tex]

Can someone help due in an hour

Answers

figure 1 is 130 degrees because a whole line is 180 degrees subtract the 50 boom.

figure 2 is a bit more difficult all together it is 360 y is 30 degrees due to vertical angles and x and z are 150 degrees because 360-60=300 divided by 2 equals 150

figure 3 x is 135 due to vertical angles which makes w and y are 45 because 360-270 equals 90 divide by 2 equals 45

figure 4 is 106 because you add 172 and 82 and then subtract that by 360 there you go. hope this helps you out

One of the original Seven Wonders of the World, the Great Pyramid of Cheops was built about 2580 BC. Its original height was 480 feet 11 inches, but owing to the loss of it's topmost stones, it is now shorter. Find the current height of the Great Pyramid using the information given in the illustration.

Answers

Answer: 449 feet, 4 inches

This value is approximate.

========================================================

Explanation:

The entire paragraph of text given to you is not needed. It's interesting that the height used to be 480 ft 11 in, but we don't use that anywhere in our calculations to get the current shorter height. Instead we rely solely on the diagram.

Refer to the diagrams I have posted below. Figure 1 is the same diagram more or less, but I've added the variables x and h.

x = horizontal distance from the center of the pyramid to the left most part of the pyramid.h = current height of the pyramid

Both h and x are in feet.

I've also added the point labels A through E.

I've split figure 1 into two pieces. Figure 2 focuses on triangle ADE and figure 3 focuses on triangle BDE.

---------------------

Let's put our attention on triangle ADE in figure 2.

Set up the tangent ratio shown below and solve for h.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{A}) = \frac{\text{DE}}{\text{AD}}\\\\\tan(40.3) = \frac{h}{x+200}\\\\h = (x+200)\tan(40.3)\\\\[/tex]

Now move onto triangle BDE in figure 3.

Set up the tangent ratio and apply substitution.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{B}) = \frac{\text{DE}}{\text{BD}}\\\\\tan(46.27) = \frac{h}{x+100}\\\\\tan(46.27) = \frac{(x+200)\tan(40.3)}{x+100}\\\\[/tex]

---------------------

Let's solve for x.

[tex]\tan(46.27) = \frac{(x+200)\tan(40.3)}{x+100}\\\\(x+100)\tan(46.27) = (x+200)\tan(40.3)\\\\x\tan(46.27)+100\tan(46.27) = x\tan(40.3)+200\tan(40.3)\\\\[/tex]

[tex]x\tan(46.27)-x\tan(40.3)=200\tan(40.3)-100\tan(46.27)\\\\x(\tan(46.27)-\tan(40.3))=200\tan(40.3)-100\tan(46.27)\\\\x=\frac{200\tan(40.3)-100\tan(46.27)}{\tan(46.27)-\tan(40.3)}\\\\x\approx 329.87238475414\\\\[/tex]

Use this to find h.

[tex]h = (x+200)\tan(40.3)\\\\h \approx (329.87238475414+200)\tan(40.3)\\\\h \approx 449.364461010933\\\\h\approx 449.364[/tex]

The height of the pyramid is currently 449.364 feet approximately.

---------------------

Lastly we'll convert to feet,inches format since the "480 ft 11 in" figure is in that format.

h = 449.364 ft

h = 449 ft + 0.364 ft

h = 449 ft + (0.364 ft)*(12 in/1 ft)

h = 449 ft + 4.368 in

h = 449 ft + 4 in

h = 449 feet, 4 inches

PLZZZ TELL ME HOW TO DO IT!!! I need help

Answers

Answer:

See explanation

Step-by-step explanation:

First, because it is a quadratic function, we know that its graph is a parabola that opens up, as x is positive. Because x has no coefficients, we also know that it is a basic parabola, with no vertical stretches or compressions, and a vertex at x=0. Because of the -3, we know the parabola has a verticle shift down 3 units, making the parabola's vertex at (0,3). Hope this helps!

Please help me ASAP
( I will mark brainliest )

Answers

Answer:

A, C, E

Step-by-step explanation:

f(x) = 2x + 3 and g(x) = –x^2 + 5, find f(1) and g(1)

Answers

Answer: dont you need like a picture or sum to find g1 or something?

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(1)= 2(1)+3= 2 + 3 =5

g(1)= -1^2 + 5 = -1 + 5 = 4

Use a model to divide. 4/5 divided by 6 Express the answer in simplest terms. 2/30 2/15 5/30 1/15

Answers

Answer:

2/30 or 5/30

Step-by-step explanation:

The simplest form of the expression is 1/6.

We have,

The concept used to solve the division problem 4/5 divided by 6 is the idea of dividing a fraction by a whole number.

To divide a fraction by a whole number, we can interpret it as finding a fraction of a fraction.

In this case, we want to find 4/5 divided by 6, which can be understood as dividing the fraction 4/5 into 6 equal parts.

To use a model to divide 4/5 by 6, we can represent 4/5 as a fraction bar and divide it into 6 equal parts.

If we divide the fraction 4/5 into 6 equal parts, each part would represent 1/6 of the original fraction.

Therefore,

The simplest form of the expression is 1/6.

Learn more about expressions here:

The answer is 6.2. You would use sine 31 = X/12 sin 31 = 0.5150. Then you multiply .5150 by 12 and you get 6.18 rounded to the nearest tenth is 6.2.

Scarlett and her friends are going into a movie theater. How much would it cost to
buy 5 drinks and 4 candies if each drink costs $4.50 and each candy costs $5.00?
How much would it cost to buy 5 drinks and 4 candies if each drink cost $d and each
candy cost $c?

Answers

Answer:

5 drinks: $25.00 4 candies: $18.00 Total: $43.00

inn equation form: $5d+$4.5c=?

Step-by-step explanation:

5*5=25

4.5*4=18

25+18=43

Answer:

answer is on screenshot pls like so i could get points lol

Step-by-step explanation:

A certain journal likes to give new writers an opportunity. Therefore, there is a 40% chance that an author’s first article submitted will be published. But, that author’s second article submitted, and each article submitted after that, have only a 20% chance of being published. Past history of being published has no influence on whether a new article will be published.
(a) What is the probability that a new author will be published for the first time when he or she
submits a 4th article?
(b) What is the probability a new author will be published for the first time within his or her first 5
articles submitted?

Answers

Answer:

[tex]P(A_4) = 0.077[/tex]

[tex]P(A_5) =0.7542 [/tex]

Step-by-step explanation:

From the question we are told that

The chance that a new authors first article will be submitted is [tex]P(A) = 0.40[/tex]

The chance that a new authors next article will be submitted is [tex]P(N) = 0.20[/tex]

Generally the probability that a new author first article is not published is

[tex]P(A)' = 1 - 0.4 = 0.6[/tex]

Generally the probability that a new author next articles are not published is

[tex]P(N)' = 1 - 0.2 = 0.8[/tex]

Now from the question we are told to obtain the probability that a new author will be published for the first time when he or she submits a 4th article, which implies that the new authors first three articles where not published

So the probability is mathematically represented as

[tex]P(A_4) = P(A)' * P(N)' * P(N)' * P(N)[/tex]

=> [tex]P(A_4) = 0.6 * 0.8 * 0.8* 0.2[/tex]

=> [tex]P(A_4) = 0.077[/tex]

Generally the probability that a new author will be published for the first time within his or her first 5 articles submitted is equivalent to

1 - [The probability that a new author will not be published for the first time

within his or her first 5 articles submitted]

Now the probability that a new author will not be published for the first time within his or her first 5 articles submitted. is mathematically represented as

[tex]P(A_5)' = P(A)' * P(N)' * P(N)'*P(N)'* P(N)'[/tex]

=> [tex]P(A_5)' = 0.6 *0.8 * 0.8'*0.8* 0.8[/tex]

=> [tex]P(A_5)' = 0.24576 [/tex]

Generally the probability that a new author will be published for the first time within his or her first 5 articles submitted is mathematically represented as

[tex]P(A_5) = 1 - P(A_5)'[/tex]

=> [tex]P(A_5) = 1 -0.24576 [/tex]

=> [tex]P(A_5) =0.7542 [/tex]

Math Help Fast!!!

x 1 4 7 13 16 19
y 4 7 10 16 19 22
Based on the relationship between the independent variable x and dependent variable y above, Leia believes that the domain is {1, 4, 7, 10, 13, 16, 19} and the range is {4, 7, 10, 16, 19, 22}. Is Leia correct? If not, determine Leia's error, and state the correct domain and/or range.

Answers

Answer:

Leia is incorrect; 10 should not be in the domain.

Step-by-step explanation:

the domain is x, the range is y. The domain really should be '1, 4, 7, 13, 16 ,19' and the 10 should not be there.

X 3 4 x is 1/2 idk it .. if you can help thank you so much it’s math .

Answers

Answer:

1/32

Step-by-step explanation:

(1/2)^3 /4= (1/8)/ 4= 1/8 x 1/4= 1/32

Which option is equivalent to log 7 - log 2? A. log 5 B. log 7 C. log 9 D. log 7^2

Answers

C, hope this helped :)

1 Matt runs in the park every day at the average rate of c meters per minute.
Today Matt ran at triple his usual speed. What was his speed today?

2 Matt runs in the park every day at the average rate of c meters per minute.
If Matt runs triple his regular speed for 20 minutes, what distance would he cover?

3Matt runs in the park every day at the average rate of c meters per minute.
During these 20 minutes, Matt covers 2400 meters. Use this information to write an equation.

Answers

Answer:

The answer for the first one is 3c

Step-by-step explanation:

Because it is 3·c

Answer:

1. 3c

2. 3c·20

3. 3c·20=2400

Step-by-step explanation:

Here! Hope I could help :)

ANSWER CORRECTLY FOR 25 POINTS
Fill in the table using this function rule.

y=2x-1

x | y
6 |
8 |
9 |
10 |

FIND 'y's VALUE FOR ALL LISTED

Answers

Answer:

(6, 11)(8, 15)(9, 17)(10, 19)

Step-by-step explanation:

ohhhh

sooo

y = 2(6) - 1

y = 12 - 1

y = 11

(6, 11)

y = 2(8) - 1

y = 16 - 1

y = 15

(8, 15)

y = 2(9) - 1

y = 18 - 1

y = 17

(9, 17)

y = 2(10) - 1

y = 20 - 1

y = 19

(10, 19)

what is the measure of

Answers

Answer:

Step-by-step explanation:

Like I said, all the angles of a triangle ALWAYS add up to 180 degrees (which is a straight angle). It might seem like they don't give angle A for us, but we can see that angle A is a right angle, which is 90 degrees. So, we can add 90 and 34 degrees, and then subtract that from 180.

90 + 34 = 124

180 - 124 = 56

I hope this helps! Have a lovely day! :)

Which of the following is the best definition of the probability of a certain
outcome of an event?

Answers

Answer:

Sorry but wheres the rest?

Find X on the figure shown

Answers

Answer:

x = 30 cm

solve proportionality:

[tex]\sf \dfrac{larger \ side}{larger \ base} = \dfrac{shorter \ side}{shorter \ base}[/tex]

solve:

[tex]\hookrightarrow \sf \dfrac{x}{45} = \dfrac{18}{27}[/tex]

[tex]\hookrightarrow \sf {x}{} = \dfrac{18*45}{27}[/tex]

[tex]\hookrightarrow \sf {x}{} = 30[/tex]

Answer:

[tex]x=30\:cm[/tex]

Step-by-step explanation:

[tex]\frac{x}{45}=\frac{18}{27}[/tex]

h² = 49

h = 7

Answer: C. 7 ft

Which statement best describes a cause and effect structure of a speech?
o It discusses similarities and differences between two different topics,
O It shows the challenges of a topic and explains how the issue can be solved.
O It provides the audience with the order in which events happened.
o It presents the reasons something happened and describes the result.

Answers

The last one lmk if I’m wrong

Answer:

Fourth option

Step-by-step explanation:

Cause and effect all starts with a reason for a certain event, for example perhaps a group of children going into an abandoned house that is rumored to be "haunted", which caused an effect. So, in this case the children going into an abandoned house that is rumored to be haunted (cause) which then lead into a result, a ghost started to chase them around the house in till they could manage an escape. (effect) Although creating a very good story for us to read, cause and effect has real life examples. The answer is the fourth option or "it presents the reasons something happened and describes the result."

Hope this helps.

Q: use the number lines to write 0.9 as a binary fraction to the nearest sixteenth

Answers

Answer:

Step-by-step explanation:

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