TODAY'S BRAIN TEASER

Solve it and gain 50 points plus BRAINLIEST

Solve any two questions out of three

WRONG COPIED OR SPAM WILL BE INTOLERABLE

SO SO SO NOT WASTE TIME IF YOU DON'T KNOW

GOOD LUCK ​

TODAY'S BRAIN TEASERSolve It And Gain 50 Points Plus BRAINLIEST Solve Any Two Questions Out Of ThreeWRONG

Answers

Answer 1

Answer:

Question 3

Find the range of the function for the domain 2 < x < 3

[tex]f(2)=(2)^2-1=3[/tex]

[tex]f(3)=(3)^2-1=8[/tex]

Therefore, the range of [tex]f(x)=x^2-1[/tex] is [tex]3 < f(x) < 8[/tex] with domain 2 < x < 3

This means that for the function to be continuous, when the domain is x=3, f(x) = 8

[tex]f(3)=2a(3)=6a[/tex]

[tex]\implies 6a=8\implies a=\dfrac43[/tex]

Similarly, when the domain is x > 3, f(x) > 8

[tex]f(3)=b(3)-4=3b-4[/tex]

[tex]\implies 3b-4 > 8 \implies b = 4[/tex]

Therefore, [tex]a=\dfrac43[/tex] and b = 4

Question 5

[tex]\textsf{let}\:u=\ln (x)[/tex]

[tex]\implies \dfrac{du}{dx}=\dfrac{1}{x}\implies dx=x\:du[/tex]

[tex]x=1\implies u=0[/tex]

[tex]x=3 \implies u=\ln 3[/tex]

[tex]\implies \displaystyle \int\limits_{1}^{3} \dfrac{\ln x \sin (\ln x)}{x} \,\:dx=\displaystyle \int\limits_{0}^{\ln 3} \dfrac{u \sin u}{x} \, \cdot x\:du=\displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du[/tex]

Use integration by parts:

[tex]\displaystyle \int u\dfrac{dv}{dx} \, dx=uv- \displaystyle \int v \dfrac{du}{dx} \, dx[/tex]

[tex]\textsf{where}\:u=u\:\textsf{and}\:\dfrac{dv}{dx}=\sin u[/tex]

[tex]\implies \dfrac{du}{dx}=1\:\textsf{and}\:v=\int \sin u=-\cos u[/tex]

[tex]\implies \displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du=-u \cos u- \int\limits_{0}^{\ln 3}-\cos u \,\:du[/tex]

[tex]\begin{aligned}\implies \displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du & =\left[-u \cos u+ \sin u\right]_{0}^{\ln 3}\\ & =[- (\ln 3) \cos (\ln 3)+ \sin (\ln 3)]-[-0 \cos (0)+ \sin (0)]\\\\ & =[- (\ln 3) \cos (\ln 3)+ \sin (\ln 3)]-0\\\\ & = 0.3908925527...\end{aligned}[/tex]


Related Questions

Helpppp me tell me the fraction

Answers

Answer:   [tex]\frac{5}{6}[/tex] of a yard

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

Explanation:

The longest is [tex]\frac{6}{6}[/tex] yard and the shortest is [tex]\frac{1}{6}[/tex] of a yard.

This is because 6 is the largest numerator and 1 is the smallest numerator.

Subtract the two fractions:

[tex]\frac{6}{6} - \frac{1}{6} = \frac{6-1}{6} = \frac{5}{6}[/tex]

We subtract the numerators while the denominator stays the same at 6 the entire time.

This is the difference between the longest and shortest ribbon, and the unit is in yards.

A temperature of 35 degrees Fahrenheit is as cold as a temperature of -35 degrees Fahrenheit.

Answers

Answer:yes

Step-by-step explanation:

How many milliliters are in 5 liters?

500 mL
5,000 mL
50,000 mL
50 mL

Answers

Answer:

5,000 is the correct answer

ANSWER: 5000000
This is correct

for charles the great please help

Answers

Answer:

119

Step-by-step explanation:

23 plus 64 plus 32

I think I just did this question

V
Playing with Numbers
5. Test the divisibility of the following numbers by 8:
(iii) 36712

Answers

Answer:

Last 3 digits 712 is divisible by 8 so 36712 is divisible by 8

Step-by-step explanation:

1. The Rock has an 88-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 6 gallons per minute. Handwritten. Show all work. Complete sentence for each question. (a) Assuming the tank was full, write a function in the form y=mx + b that represents the amount of water in the tank, Y, after X minutes. You will need to know the initial value and the rate of change. (b) How long has the tank been draining for if it has 34 gallons left?

Answers

Using linear function concepts, it is found that:

a) The function is y = 88 - 6x.

b) The tank has been draining it for 9 minutes.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Item a:

The full volume of the tank is of 88 gallons, hence the y-intercept is of b = 88.The volume can be drained at a rate of 6 gallons per minute, hence the slope is of m = -6.

Thus, the equation is given by:

y = 88 - 6x.

Item b:

This is x for which y = 34, hence:

y = 88 - 6x

34 = 88 - 6x

6x = 54

x = 9.

The tank has been draining it for 9 minutes.

More can be learned about linear function concepts at https://brainly.com/question/24808124

The amount of water in the tank is given by y = -6x + 88, it would take 9 minutes for the water to remain 34 gallons.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the amount of water after x minutes.

The Rock has an 88-gallon fish tank which can be drained at a rate of 6 gallons per minute. Hence:

m = -6, b = 88

y = -6x + 88

For 34 gallons:

34 = -6x + 88

x = 9

The amount of water in the tank is given by y = -6x + 88, it would take 9 minutes for the water to remain 34 gallons.

Find out more on equation at: https://brainly.com/question/2972832

-2.2y - 3.4y -1(-5.7y) + 8.2y

Answers

Answer:

8.3y

Step-by-step explanation:

-2.2y - 3.4y -1(-5.7y) + 8.2y

Apply rule -(-a) = a:

⇒ -2.2y - 3.4y + 5.7y + 8.2y

Factor out common term y:

⇒ y(-2.2 - 3.4 + 5.7 + 8.2)

Carry out operations in the parentheses:

⇒ y(8.3)

Write in standard form:

⇒ 8.3y

The following are ages of 16 of the signers of the Declaration of Independence.
43, 62, 35, 45, 42, 46, 39, 31, 60, 37, 39, 47, 35, 36, 35, 40
Send data to calculator
Find 10th and 75th percentiles for these ages.
(a)
The 10th
percentile: 0
(b)
The
75th
percentile: 0
Х
5
?

Answers

The age of 75th and 10th question below

Amy and Julie are going camping.
Each of them both has a bag of marshmallows. The bag of marshmallows has 60 marshmallows inside. The girls also bring crackers. If Amy and Julie make 15 s'mores, how many crackers did they use?

Answers

30 assuming 2 crackers per s’more

Determine the equation of the circle graphed below.

Answers

Answer:

(x+6)^2+(y-5)^2 = 3.1622^2

Step-by-step explanation:

The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2

So, we already can find this portion of the equation knowing the center of the circle:

(x+6)^2+(y-5)^2= r^2

Next, we find the distance between the two given points to find the radius.

6-5 = 1

-3--6 = 3

1^2+3^2 = c^2

1+9= c^2

10=c^2

3.1622...

So, now we know the full equation.

(x+6)^2+(y-5)^2 = 3.1622^2

Help help help help math math

Answers

Answer:

x> 2

Step-by-step explanation:

Multiply by 6

2x6=12

5x+2>12

Move the 2 and make it subtraction

5x>12-2

Subtract 12-2=10

5x>10 divide by 5

X>2

Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
I will give you brainliest if you answer

Answers

Answer: 1 3/12

Step-by-step explanation: You can multiple straight accross and

5 is equivelant to 5/1 so we would do

5/1 * 3/12 = 15/12 which can get simplified into 1 3/12

Hopt this helps :D

3827 x 8/8 lees than equal to or greater than 3827 asap

Answers

Answer:

It's equal to itself. Here are the two ways to do this problem. ↓

[tex](3,827 * 8) / 8 = 3,827[/tex][tex]3,827 * 100~percent(8/8) = 3,827[/tex]

Mr. and Mrs. Doran have a genetic history such that the probability that a child being
born to them with a certain trait is 0.61. If they have four children, what is the
probability that at most two of their four children will have that trait? Round your
answer to the nearest thousandth.

Answers

Using the binomial distribution, it is found that there is a 0.011 = 1.1% probability that exactly one of their four children will have that trait.

For each children, there are only two possible outcomes, either they have the trait, or they do not. The probability of a children having the trait is independent of any other children, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]

[tex]C_{n,x}=\frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

85% probability of a children having the trait, hence [tex]p=0.85[/tex].They have four children, hence [tex]n=4[/tex]

The probability is P(X = 1), hence:

[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]

[tex]P(X=1)=C_{4,1*}(0.85)^1.(0.15)^3=0.011[/tex]

0.011 = 1.1% probability that exactly one of their four children will have that trait.

A similar problem is given at https://brainly.com/question/24863377

Espanol
- 9
1
2
P4
8
3
5
6
A triangle is placed in a semicircle with a radius of 3 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer: 5.13 square cm

Step-by-step explanation:

Jack dining room room is 5 inches wide and 12 inches long. He wants to install wooden trim around the top of the room. The trim cost 5$ per inch. How much will it cost him to buy enough trim?

Answers

Answer:

$170

Step-by-step explanation:

since he wants to put it around the top and not fill it, it will be a perimeter problem. 5+12+5+12 is 34, and 34 x $5 is 170.

A circle passes through the point (5,2) and touches the line y + x = 9 at the point (3.6). Find the coordinates of the center and the radius of the circle. Hence, state the standard equation of the circle​

Answers

Step-by-step explanation:

solution is attached

MARK ME AS BRAINLIST

If i have 3 apples then i lose 1 and get 2000 more then give half to a friend? how many apples do i have.

Answers

Answer:

1001

Step-by-step explanation:

You lose an apple, so now have 2You buy 2000 (you must be rich), so now have 2002You give half to your friend, so divide by 2That gives you 1001 apples

Financial- One of the main differences between a Roth IRA and a traditional IRA is that:

A. You can withdraw money at different ages.
B. The amount you can contribute depends on your age.
C. A Roth IRA is offered by banks, while a traditional IRA is offered by an employer.
D. Contributions are taxed differently.

Answers

The difference between Roth IRA and a traditional IRA is that Contributions are taxed differently. That is option D.

What is Individual Retirement Account (IRA)?

An Individual Retirement Account (IRA) is an account that has tax advantages which is used for financial saving for a long term.

In Roth IRA, taxes are being paid while the individual is still working.

In traditional IR, taxes are being paid after retirement.

Therefore, the difference between Roth IRA and a traditional IRA is that Contributions are taxed differently.

Learn more about tax here:

https://brainly.com/question/25783927

The main difference between a Roth IRA and a traditional IRA is that D. Contributions are taxed differently.

What is IRA?

It should be noted that IRA simply means an individual retirement account. They're usually not taxed until retirement.

In this case, the main difference between a Roth IRA and a traditional IRA is that the contributions are taxed differently.

Therefore, the correct option is D.

Learn more about IRA on:

https://brainly.com/question/27445373

Need help or the answer for these two someone help please!!

Answers

Answer:

1) 287.97; 2) 75.396 [in³].

Step-by-step explanation:

1) the rule:

V=1/3 *πhr²;

2) according to the formula above:

V₁=1/3 *3.1415*11*5²=287.97 [in³];

V₂=1/3 *3.1415*8*3²=75.396 [in³].

Add the mixed numbers.
6 1/12
+ 3 1/3
The sum is ___

Answers

Answer:

9 5/6

Step-by-step explanation:

6 1/2 + 3 1/3

= (6 + 3) + (1/2 + 1/3)

= 9 + 1 * 3/ 2 * 3 + 1 * 2/ 3*2

= 9 + 3/6 + 2/6

= 9 + 3+2/6

= 9 + 5/6

= 9 5/6

Hey there!

6 1/12 + 3 1/3

= 73/12 + 10/3

= 73/12 + 40/12

= 73 + 40 / 12 + 0

= 113 / 12

= 9 5/12


Therefore, your answer is:

• 113/12

OR
• 9 5/12

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is the equation of this line?

Answers

Answer:

y = 2x

3

Step-by-step explanation:

From the graph, y=4 when x= 6

And

y= -4 when x= -6

So, we can deduce the relationship between x and y.

the area of a parallelogram measures 171 cm the base of the parallelogram is 18 cm in length which of the following best represents the height of the parallelogram A. 11cm B. 9.5 C. 13.5 D. 8cm give step by step explanation ​

Answers

Answer:

A=bxh

171 cm=18cmxh

h=171/18

= 9.5 cm

which is B no.

Emily got a new fish tank for her pet betta fish.
The tank is shaped like a rectangular prism that
is 48 centimeters long, 30 centimeters wide,
and 30 centimeters high. She is filling the tank
with water from a faucet flowing at a rate of 7.2
liters, or 7,200 cubic centimeters, per minute.
How many minutes will it take Emily to fill the
tank?
Write your answer as a whole number or
decimal. Do not round.

Answers

Answer:  6 minutes

Explanation:

To start off, we'll need the volume of the fish tank.

Volume of a rectangular block = (length)*(width)*(height)

V = L*W*H

V = 48*30*30

V = 43,200

The volume of the tank is 43,200 cubic cm.

Divide this over the flow rate of 7200 cubic cm per minute to get

(43,200)/(7200) = 6

It will take Emily 6 minutes to completely fill the tank.

Find the equation of a line that passes through the points (-4,-2) and (6, 3).

Answers

Answer:

[tex]y = \frac{x}{4} [/tex]

Step-by-step explanation:

we find the slope which also represented as m by the formula

[tex] m = \frac{(y2 - y1)}{(x2 - x1)} [/tex]

where from point (-4, -2) the x1 is -4 and the y1 is -2 and also from point (6, 3) the x2 is 6 and the y2 is 3.

so we substitute

[tex] \frac{(3 - ( - 2))}{(6 - ( - 4))} = \frac{(3 + 2)}{(6 + 4)} = \frac{5}{10} = \frac{1}{2} [/tex]

[tex]m = \frac{1}{2} [/tex]

after we have the slope, we calculate the equation of the line by using the formula

[tex](y - y1) = m(x - x1)[/tex]

but for now, we only have y1, m and x1 so can substitute

[tex](y - ( - 2)) = \frac{1}{2} (x - ( - 4))[/tex]

we have to get rid of the fraction 1/2 so we multiply it through by the denominator 2

[tex]2(y + 2) = 2 \times \frac{1}{2}(x + 4) [/tex]

we get

[tex]2(y + 2) = 1 \times (x + 4)[/tex]

so now we expand the brackets

[tex]2y + 4 = x + 4[/tex]

we make y stand alone by grouping liked terms.

[tex]2y = x + 4 - 4[/tex]

we get

[tex]y = \frac{x}{4} [/tex]

A train travels at an average rate of 40 mph and travels for 110 miles . Write an equation

Answers

Answer:

the equation is 40/1 = 110/x hours

Step-by-step explanation:

It would take (2 hours and 45 min) for the train to travel this far

Multiply: (x−4)(x+5)


Simplify and write your answer in Standard Form.

HINT
Standard Form: ax2+bx+c

Answers

Answer:

x^2 + x -20

Step-by-step explanation:

First, Multiply

(x)(x) + (x)(5) + (-4)(5) + (-4)(x)

Second, Add The Like Terms Together

X^2 + x + -20

Answer: Its  x^2 + 9x -20

Step-by-step explanation:

I did the test and got it wrong

Simplify the radical expression.

Answers

Answer:

-8√(6n).

Step-by-step explanation:

-√(8n) * 2√12

= -√4*√(2n) * 2√4√3

= -2√(2n)*4√3

= -8√(6n)

The following list shows how many brothers and sisters some students have:

3
,


4
,


4
,


5
,


5
,


2
,


5
,


4
,


6
,


3
,


6
,


5
,


3


State the mode.

Answers

Answer:

5

Step-by-step explanation:

So we have the set of numbers: 3,4,4,5,5,2,5,4,6,3,6,5,3.

Mode just means the most repeated number so let's sort them into groups.

(2) (3,3,3) (4,4,4) (5,5,5,5) (6,6).

the most repeated number is 5 which we see in the sequence about 4 times.

7u<42

solve the inequality for U

Answers

Answer: u<6

Step-by-step explanation:

Isolate u by dividing both sides of the inequality by 7

[tex]\frac{7u}{7} < \frac{42}{7} \\u < 6[/tex]

Answer:

u<6

Solution:In order to solve this inequality, we need to divide both sides by 7.Remember, our goal is to find the value of u.We know that 7u is less than 42.So, divide both sides by 7:u<6So u is less than 6.This also means that the numbers less than 6 will satisfy the inequality (make it true).

Hope it helps.

Do comment if you have any query.

Other Questions
Discuss how the function of the systemic circulation differs from that of the pulmonary circulation. Use a calculator to evaluate 9^3 to the nearest ten thousandth. Please Help Due Today!!!What is the common difference,d, of the sequence?-92, -74, -56, -38, -20d=? RecallingWARM-UPCheck each set that includes the number shown.5/9 A scientist uses a submarine to study ocean life.She begins at sea level, which is an elevation of 0 feet.She descends for 32 seconds at a speed of 4.9 feet per second.She then ascends for 49 seconds at a speed of 1.5 feet per second. Which choice names two problems of the South that the civil rights movement helped change?Jim Crow laws and police-enforced segregationurban poverty and lack of jobsinadequate health care and overcrowded ghettos What is true of people who are motivated by the need for achievement? Which of the following is not a form of energymechanicalheatmattersolar Second Degree Injuries Signs/Symptoms: Describe two results in the body's tissues AND list three symptoms. What are three ways you can reduce your risk of contracting a bacterial disease?. The patrons of the work were the Cornaro family of Rome... A. who objected to the work and wanted it removed B. whose names are inscribed on the sculpture C. who built the church and the sculptures in it D. whose portraits are visible in the chapel research the risk of social media and list 3 websites that have information about the topic instead of the one you listed on your chart. Securitization helps lenders to: A.Make more loans to lesser-qualified customers B.Increase the menu of products available to their customers C.Provide funds to the highest bidder on the secondary market What evidence can you find in the poem that indicates the generals mother used to work in the cane fields? be sure to reference specific lines from the text in your answer. The fossil record includes all of the fossils discovered on Earth. How is the fossil record organized? A. SizeB. AgeC. ShapeD. Color PLS HELP 100 POINTS AND BRAINLEST!!! in the pic I need help with this? help me please i need to turn this in fast S implify the given polynomial expressions as much as possible.7xy(2xy - 3x + 8y + 9) What role did South African women play against the violation of human rights from the 1950s to 1960s ?