3
1 point
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Simplify the following expression:
4
11
27
3
4
4
1 point
(2-72-5
5
Simplify the following expression:
Type your answers
6

Answer: 4 i square root of 3

Answer:

[tex]\mathbf{ \dfrac{\pi}{675}\Big[ 34\sqrt{34} -125\Big] }[/tex]

Step-by-step explanation:

The curve x = f(y)

The area of the surface around the y-axis from y = a → y = b is:

[tex]=\int^b_a 2 \pi x \sqrt{1 + (\dfrac{dx}{dy})^2} \ dy[/tex]

From the given curve:

[tex]y = (5x)^{^{\dfrac{1}{3}}[/tex] ; assuming the region bounded by the curve is 0 ≤ y ≤ 1

So;

[tex]y = (5x)^{^{\dfrac{1}{3}}[/tex]

5x = y³

[tex]x = \dfrac{1}{5}y^3[/tex]

The differential of the above equation Is:

[tex]\dfrac{dx}{dy}= \dfrac{1}{5} \times (3y^2)[/tex]

[tex]\dfrac{dx}{dy}= \dfrac{3}{5}y^2[/tex]

Now, we have the area of the surface produced around the curve [tex]x = \dfrac{1}{5}y^3[/tex] through the y axis from the region y = 0 to y = 1

∴

[tex]= \int ^1_0 2 \pi \dfrac{1}{5}y^3 \sqrt{1 + (\dfrac{3}{5}y^2)^2} \ dy[/tex]

[tex]= \dfrac{ 2 \pi}{5} \int ^1_0 y^3 \sqrt{1 + \dfrac{9}{25}y^4} \ dy[/tex]

[tex]= \dfrac{ 2 \pi}{5} \int ^1_0 y^3 \sqrt{ \dfrac{25+9y^4}{25}} \ dy[/tex]

[tex]= \dfrac{ 2 \pi}{5} \int ^1_0 y^3 \dfrac{\sqrt{25+9y^4}}{5}} \ dy[/tex]

[tex]= \dfrac{ 2 \pi}{25} \int ^1_0 y^3 \sqrt{25+9y^4}} \ dy[/tex]

Let make [tex]u = \sqrt{25+9y^4}[/tex]

It implies that:

[tex]u^3 = (25+9y^4)\sqrt{25+9y^4}[/tex]

[tex]u = \sqrt{25+9y^4} \\\\ du = \dfrac{1}{2\sqrt{25 +9y^4}}(36y^3) \ dy[/tex]

[tex]du = \dfrac{18y^3}{\sqrt{25 +9y^4}}\ dy[/tex]

[tex]y^3dy = \dfrac{1}{18}\sqrt{25+9y^4} \ du[/tex]

when y = 0 ;

[tex]u = \sqrt{25+ 9(0)^4}[/tex]

[tex]u = \sqrt{25}[/tex]

u = 5

when y = 1;

[tex]u = \sqrt{25+ 9(1)^4}[/tex]

[tex]u = \sqrt{25+9}[/tex]

[tex]u = \sqrt{34}[/tex]

∴

The equation [tex]\dfrac{ 2 \pi}{25} \int ^1_0 y^3 \sqrt{25+9y^4}} \ dy[/tex] can be written as:

[tex]= \dfrac{2 \pi}{25} \int ^{\sqrt{34}}_{5} (u ) \dfrac{1}{18} \ udu[/tex]

[tex]= \dfrac{2 \pi}{25\times 18} \int ^{\sqrt{34}}_{5} (u ) \ udu[/tex]

[tex]= \dfrac{\pi}{225} \int ^{\sqrt{34}}_{5} (u^2 ) \ udu[/tex]

[tex]= \dfrac{\pi}{225}\Big[ \dfrac{u^3}{3} \Big] ^{\sqrt{34}}_{3}\\[/tex]

[tex]\mathbf{= \dfrac{\pi}{675}\Big[ 34\sqrt{34} -125\Big] }[/tex]

Answer:

I believe it is D

Step-by-step explanation:

I used desmos

Answer:

D

Step-by-step explanation:

Due to the coordinate being positive in both x and y, then you know by putting the numbers in the equation that they will bot subtract from their variable

Answer:

Step-by-step explanation:

seven more than the quotient of a number and 2 is 10

7+n/2=10 n=6 check 7+3=10 ok

Answer:

0.5969 = 59.69% probability that it was a flight of airline A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Left on time.

Event B: From airline A.

Probability of a flight leaving on time:

81% of 48%(airline A).

61% of 26%(airline B)

40% of 26%(airline C). So

[tex]P(A) = 0.81*0.48 + 0.61*0.26 + 0.40*0.26 = 0.6514[/tex]

Probability of leaving on time and being from airline A:

81% of 48%. So

[tex]P(A \cap B) = 0.81*0.48 = 0.3888[/tex]

What is the probability that it was a flight of airline A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3888}{0.6514} = 0.5969[/tex]

0.5969 = 59.69% probability that it was a flight of airline A

Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are [tex]3[/tex]

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]

If the order matter, then

[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]

The probability that 1 woman and 1 man will be chosen is "0.6".

According to the question, the club has nominated:

Now,

→ The number of ways to select two persons from 6 will be:

= [tex]\binom{6}{2}[/tex]

hence,

The probability that one woman and one man will be chosen will be:

→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]

                                              [tex]= 3\times \frac{3}{15}[/tex]

                                              [tex]= \frac{9}{15}[/tex]

                                              [tex]= 0.6[/tex]

Thus the above answer is right.

Learn more:

https://brainly.com/question/13419138

Answer:

a

Step-by-step explanation:

x+2y=-10

-x       -x

2y=-10-x

y=(1/2)x-5

This is one of the lines and reduces the options to a or c.

3x-y=12

-3x    -3x

-y=12-3x

y=3x-12

This is the line with the positive slope and since both lines match, the answer is a.

Answer:

Parameter of base = 70.88 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 3768 cubic inch

Height of Prism = 12 inch

Find;

Parameter of base

Computation:

Volume of cylinder = Volume of Prism

3768 = (L)(B)(H)

3768 = (L)(B)(12)

(L)(B) = 314

L = B

So.

L = 17.72 inch

B = 17.72 inch

Parameter of base = 2[l+b]

Parameter of base = 2[17.72 + 17.72]

Parameter of base = 70.88 inch (Approx.)

Answer:

what number?

number three or number two

Answer:

Because it makes factoring easier because the coefficient are smaller requiring less step

Answer:

3x-4y=-40

Step-by-step explanation:

Hi there!

We're given the equation of the line, y-4=3/4(x+8) in point-slope form (y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]), where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) is a point and m is the slope)

We need to convert y-4=3/4(x+8) into standard form (ax+by=c, where a, b, and c are integer coefficients; a CANNOT be 0, and CANNOT be negative).

So we need to get y-4=3/4(x+8) out of point-slope form

We can do this by converting the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

to do this, we need to isolate y by itself in the equation

first, do the distributive property and distribute 3/4 on the right side

y-4=3/4x+6

add 4 to both sides

y=3/4x+10

now the equation is in slope-intercept form, but remember, we want it in standard form

x and y are on the same side in standard form, so let's subtract 3/4 x from both sides

-3/4x+y=10

however we aren't done; in standard form, the coefficients need to be integers (whole numbers), and a (the coefficient in front of x) CANNOT be negative

so let's multiply both sides by -4 to clear the fraction and change the sign of a

-4(-3/4x+y)=-4(10)

do the distributive property

3x-4y=-40

Hope this helps! :)

Here's some help. Hope this works.

Answer:

Following are the solution to these question:

Step-by-step explanation:

The frequency of the data value will be the same in dot plots for the number of dots. The frequency table is following:

[tex]X \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Frequency \\\\1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\\\\5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\10\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\11\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\[/tex]

[tex]12\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\\\\14\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\[/tex]

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{x+7}{3} =\frac{2x+4}{4}[/tex]

do cross multiplication

[tex]3(2x+4) = 4(x+7)\\6x + 12 = 4x + 28\\6x - 4x = 12 - 16\\2x = 16\\x = 16/2\\x = 8[/tex]

Answer:

at 300 minutes, the cost of both plans are equal

Step-by-step explanation:

Package A:  f(c) = 35 + .15c

Package B:  f(c) = 50 + .10c

to answer the question we can set both expressions equal to each other and solve for 'c'

35 + .15c = 50 + .10c

35 + .05c = 50

.05c = 15

c = 15/.05

c = 300

Answer:

acute

right angle or obtuse

obtuse

Step-by-step explanation:

those are the answers

a) At 10 minutes the line is at y - 1, which means she reached 1 km in 10 minutes.

b) The last 30 minutes would be 30 minutes to 60 minutes.

at 30 minutes she was at 0km at 60 minutes she was at 4 km, so in 30 minutes she traveled 4 km.  30 minutes is a half hour, so multiply distance by 2: 4 x 2 = 8, she was traveling at 8 km per hour.

Answer:

4675

Step-by-step explanation:

Step-by-step explanation:

x=7 (given)

2x=14 (divide)

2x+5-5=19-5 (subtraction property of equality)

2x/2=14/2 (divide)

2x + 5=19 (division property of equality)

Mark Brainliest please

Answer:

38 degrees

Step-by-step explanation:

Let the angle be x

Supplement:: 180-x

Equation:

x = 180-x + 104

2x = 284

x = 142 degrees

therefore , 180-x = 180-142= 38 degrees

Answer:

25x - 45

Step-by-step explanation:

Answer:

25x - 45

Step-by-step explanation:

distributing 5 through parantheses

Answer:

Exponential function have a horizontal asymotote. The equation of the horizontal asymptote is y=0.Step-by-step explanation:

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.

  r = 480/768 = (5·96)/(8·96) = 5/8

The common ratio is 5/8.

Answer:

9/26

Step-by-step explanation:

Im sorry, but probablity is quite hard to explain, but I'll try my best. So what you know is that there are a total of 26 students right? Out of these 25, 14 have at least a cat, and 7 have at least a dog. But 5 of them have a cat and a dog. This means that 14-5, and 7-5, are for only a cat and only a dog respectively. So, people with only a cat don't have a dog, meaning that 14-5, which is 9 people only have a cat. Therefore, out of the 25 people, only 9 don't have a dog, making the probablitly 9/25.

:)))))))))))))))))))))))))))))

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point a:

In R-Studio, we first insert the data set,

Please notice that perhaps the blue colored lines are input and the green lines are R-Studio results.

[tex]Class \ 1 = c(72,73,74,75,76,79,82,83,84,86,91,92,93,93,94,95,95,97,98,98)\\\\Class\ 2 = c(59,65,68,68,69,72,73,78,80,82,82,83,83,85,88,88,89,94,96,97,98)[/tex]

We will get the smallest observation, first, mid, third, and largest quartile for both classes and use a summary of 5 numbers,

[tex]\to five\ num(Class\ 1) \\\\\[1\] \ 72.0 77.5 88.5 94.5 98.0 \\\\\to five\ num(Class\ 2) \\\\\[1\]\ 59 72 82 88 98[/tex]

The table can be defined as follows:

                [tex]Class\ 1\ \ \ \ \ \ \ \ \ \ \ \ Class\ 2 \\[/tex]

[tex]Smallest \ value\ \ \ \ \ \ \ 72\ \ \ \ \ \ \ 59\\First \ quartile \ Q1\ \ \ \ \ \ \ 77.5\ \ \ \ \ \ \ 72\\Median\ Q2 \ \ \ \ \ \ \ 88.5\ \ \ \ \ \ \ 82\\Third \ quartile \ Q3 \ \ \ \ \ \ \ 94.5\ \ \ \ \ \ \ 88\\Largest \ value \ \ \ \ \ \ \ 98\ \ \ \ \ \ \ 98\\[/tex]

The parallel boxplots in R-Studio as,

[tex]\text{boxplot(Class1, Class2, xlab = "Class", ylab = "midterm grades", main = "Boxplots")}[/tex]Please find the graph file.

For point b:

Its performance overall of Class 1 is better, while the median of class 1 is greater than class 2, as well as the value (grades) of class 1, is less dispersed in relation to class 2.

For point c:

The stated 90 percent confidence interval for a significant difference is (0.09299, 11.413) Users now calculate the difference among Class 1 and Class 2 plan presented of mean value as:

[tex]mean \ (Class \ 1) \\\\\[1\]\ 86.5\\\\mean\ (Class\ 2)\\\\[/tex]

[tex]\[ 1 \] \ 80.80952\\\\Difference = 86.5 - 80.80952 = 5.69048[/tex]

Its discrepancy among two estimations is between confidence interval of 90 percent (0.09299, 11.413). Its mean population of grades of two classes therefore differs significantly.

Answer:

Hola busco amigos

Perdí mi otra cuenta

Ayúdame y te ayudo con tus tareas

¿ si?

Step-by-step explanation:

Answer:

0.00000003

Step-by-step explanation:

2+ 7 * 4 - 5 = 25

(3/6) ^ 25 = 0.00000003