I dont understand this equation

So

Torque

[tex]\\ \rm\Rrightarrow \tau=3(16)[/tex]

[tex]\\ \rm\Rrightarrow \tau=48lbs\:ft[/tex]

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].

Answer:

-8√(6n).

Step-by-step explanation:

-√(8n) * 2√12

= -√4*√(2n) * 2√4√3

= -2√(2n)*4√3

= -8√(6n)

Answer:

119

Step-by-step explanation:

23 plus 64 plus 32

I think I just did this question

Answer:

Zero Slope

Step-by-step explanation:

A Negative Slope is going down on the graph and it is negative M (y=mx+b)

A Positive Slope has is going up on the Graph and it is a positive M (y=mx+b)

(Imagine a Mountain)

Zero Slope is where there is only one y value and infinite x values

Undefined is where there is one x value and infinite y values

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.

Answer: [tex]x=n\pi , \frac{3\pi }{4} +n\pi[/tex]

Step-by-step explanation:

Since we have a product here, either term can be zero. We can individually set each term equal to zero:

[tex]tan(x)=0[/tex]

[tex]tan(x)+1=0[/tex]

Beginning with the first term. It is saying "tangent of what gives zero". Well, tangent of zero gives zero. The value pi also gives zero:

[tex]tan(0)=0[/tex]

[tex]tan(\pi )=0[/tex]

We can generalize this by saying 'x' is equal to pi multiplied by an integer 'n', where 'n' is 0, 1, 2, 3...

[tex]x=n\pi[/tex]

Moving on to the second term, lets subtract that 1 to the other side to get:

[tex]tan(x)=-1[/tex]

Tangent of what gives -1? That would be 3pi/4. Tangent is the ratio of sine and cosine. So, you can essentially think of tangent as the slope of the line on a unit circle. Refer to the figure below. Another location along the unit circle where we get -1 is at 7pi/4, which is just 3pi/4 shifted by 180 degrees. Therefore, we can generalize this solution by adding 'npi' to 3pi/4 to get:

[tex]x=3\pi /4+n\pi[/tex]

where 'n' is 0, 1, 2, 3...

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

Answer:

A=bxh

171 cm=18cmxh

h=171/18

= 9.5 cm

which is B no.

Step-by-step explanation:

solution is attached

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

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.

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

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

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]

u<6

Hope it helps.

Do comment if you have any query.

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.

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]

Answer:

Step-by-step explanation:

Answer= (2,6)

">" means greater than..

y-x >-3 so in this case you would plug in y= 6, and x=2

6-2=4 and 4 is greater than -3. :)

The other answers give negative numbers of -3, and -4 which aren't greater than -3.

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:

In this problem:

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

Answer:

1001

Step-by-step explanation:

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.

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

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.

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

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.

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

Answer:

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

Step-by-step explanation:

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.

A linear function is modeled by:

y = mx + b

In which:

Item a:

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.

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

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:)