If V(r)=4/3pir³, find V(3/4)

Answer:

I)

[tex]2a + 2b = -10\text{ or } 2a + 2b = 10[/tex]

II)

[tex]2a - 2b = -2 \text{ or } 2a-2b= 2[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaytstyle a^2 + b^2 = 13 \text{ and } ab= 6[/tex]

I)

Recall the perfect square trinomial pattern:

[tex]\displaystyle (a+b)^2 = a^2 + 2ab + b^2[/tex]

Rewrite:

[tex]\displaystyle (a+b)^2 = (a^2 + b^2) + (2ab)[/tex]

Substitute:

[tex]\displaystyle (a+b)^2 = (13) + (12)[/tex]

Evaluate:

[tex]\displaystyle (a + b)^2 = 25[/tex]

Take the square root of both sides:

[tex]\displaystyle a + b = \pm\sqrt{25} = \pm5[/tex]

Hence:

[tex]\displaystyle 2a + 2b = \pm 10[/tex]

Therefore:

[tex]\displaystyle 2a + 2b = -10 \text{ or } 2a + 2b = 10[/tex]

II)

Likewise:

[tex]\displaystyle (a-b)^2 = a^2 - 2ab + b^2[/tex]

Substitute:

[tex]\displaystyle (a-b)^2 = (13) -(12)[/tex]

Solve:

[tex]\displaystyle \begin{aligned} (a-b)^2 &= 1 \\ a-b &= \pm \sqrt{1} \\ a-b &= \pm 1\\ 2a - 2b &= \pm 2\end{aligned}[/tex]

In conclusion:

[tex]2a - 2b = -2 \text{ or } 2a-2b= 2[/tex]

Answer:

find the area of each side of the shapes and add make sure it's in square centimeters

Answer:

17°

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

x=17

Step-by-step explanation:

The angles add to 180

6x-20 + 6x-4 = 180

Combine like terms

12x -24 =180

Add 24 to each side

12x = 180+24

12x = 204

12x/12 = 204/12

x =17

Answer:

0.22

Step-by-step explanation:

Answer: Choice C.  p = 250(0.79)^t

Work Shown:

p = a*b^t

p = a*(1+r)^t

p = 250*(1+(-0.21))^t

p = 250(0.79)^t

Note that r = -0.21 is negative to indicate we have exponential decay.

Answer:

Bot #11

Step-by-step explanation:

If you picked bot 12 in 5 second it produces 21 clicks which means if you add another 5 second it will be 10 second with 42 clicks. But, if you pick the bot with 17 clicks per 4 second, 8 seconds it will already be 34 clicks and 10 seconds half of 17 is  8/5 which in 10 seconds it produces 42.5 which shows the first bot produces more.

Answer:

3

Step-by-step explanation

add all of the numbers then divide by the amount the numbers you added

in this situation it is 1+2+3+4+5=15 divided by 5 equals 3. Hoped this helped. pls give brainliest

Answer:

[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]

Step-by-step explanation:

Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].

Answer:

35.34305555555

Step-by-step explanation:

You must calculate the percentage taken out of the circle by the shaded region. This would be about 13.8%. Then you take the overall area of the circle and multiply it by the percentage. This should give you your answer.

REMEMBER TO ROUND IF YOU ARE SUPPOSED TO, THERE IS NO INDICATION ON BRAINLY. WITHOUT ROUNDING YOU CAN GET THE ANSWER WRONG.

Answer:

i would say transitive which is what u put because well i would say translate because it translates n2 different parts of the letter

Step-by-step explanation:

Answer:

If I had guess, always equal since absolute numbers are always positive.

Answer:

2x+x+2=5x-10

3x+2=5x-10

-3x -3x

2=2x-10

+10 +10

12=2x

2x/2=x 12/2=6

x=6

QR=x+2

6+2=8

QR=8

The value of x is 6 and the value of QR will be 8 units.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the value of x and QR if Q is between P and R.

PQ=2x

QR=x + 2

PR= 5x -10

The value of x will be calculated as below:-

2x+x+2=5x-10

3x+2=5x-10

2=2x-10

12=2x

x = 12 / 2

x =6

The value of QR will be calculated as below:-

QR=x+2

6+2=8

Therefore, the value of x is 6 and the value of QR will be 8 units.

To know more about line segments follow

brainly.com/question/2437195

#SPJ2

Step-by-step explanation:

-11+x(-7)

when x= 4, then

-11+x(-7)

-11+4(-7)

-11+(-28)

-11-28

-39

Answer:

0.825

Step-by-step explanation:

In order to make the denominator 100, we must multiply both the numerator and denominator by 2.5

33*2.5 = 66 + 16.5 = 82.5

33/40 = 82.5/100

Now we solve, 82.5/100 = 0.825

16348

The pattern is times 2

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384

Answer:

area after 8 years is 2156km²

Step-by-step explanation:

Area of forest=4900 km²

decrease in area in 1 year=4900km² × 7%

decrease in area in 1 year= 343km²

decrease area in 8 years=343km² × 8

=2744km²

Remaining area= (4900-2744)km²

=2156km²

Note:If you have any question about it please ask.

The pyrite cube is, well, a cube, so it has a side length s such that the area of its base is

s ² = 5.76 cm²

which means

s = √(5.76 cm²) = 2.4 cm

Then its volume is

s ³ = 13.824 cm³

Pyrite is also known as "fool's gold" because it looks a lot like gold. So if gold has a unit price of €785/cm³, then a pyrite cube with volume 13.824 cm³ could be mistaken for a gold cube of the same volume, which would sell for a price of

(€785/cm³) × 13.824 cm³ = €10,851.80

The proportional formula for b is 3/2 in terms of t.

To learn more about proportional equation refer to:

https://brainly.com/question/24868934

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Answer:

The Correct simplification is: (3².2x³y²)

Answer:

81x^6y^4

Step-by-step explanation:

dog intersect cat = 13

only cat= 3

Answer:

10

Step-by-step explanation:

We'll first write in point-slope form:

y - y1 = m(x - x1)

where (x1, y1) is our point and m is our slope.

Then convert into slope-intercept form to make it easier to find the y-intercept.

y - (-6) = -4(x-4)

y + 6 = -4(x-4)

y + 6 = -4x + 16

y = -4x + 10

Now that we've put the equation in slope-intercept form, we see that our b-value

y = mx + b

b = 10, so our y-intercept is 10

Answer:

He was 45 in present day. But 12 years ago, he was 33.

Step-by-step explanation:

12+3=15

15•3=45 (you multipply because if you use 1/3 you would have to divide 45 by 3.)

Hello :D

Ruto is currently 12 years old. In 3 years he will be 15. 1/3 is 15. 3/3 would be 45 years old. 45 - 12 = 33

Answer:

$495

Step-by-step explanation:

This is because  Gross income is the total amount without taxes or deductions  

So all you have to do is 11x45 which gives you 495.

Answer:

Ans:

Step-by-step explanation:

Let, the required number=n

Then, That number is actually n(n-1)

For e.g 8(8-1)=56 divided by 8=7

You Understood it.

Answer:

(1,-3)

(2,0)

(3,5)

(4,12)

(0,-4)

(-1,-3)

(-2,0)

9514 1404 393

Answer:

  a) yes (a function)

  b) no (not a function)

Step-by-step explanation:

A functional relationship will have only one value of dependent variable for each value of independent variable. That is, the column on the left can only have one arrow tail per item.

__

a) is a function. Each independent variable maps to one dependent value

b) not a function. Independent variable values 7 and 30 map to two values each.