PLZ HELP
I WILLMARKE YOU BRILL

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

7

l

0

−

8

=

20

;

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

Answer:

The answer is below

Step-by-step explanation:

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16

Solution:

Given that the ellipse has the equation: 4x² + 16y² = 16

let us make x the subject of the formula, hence:

4x² + 16y² = 16

4x² = 16 - 16y²

Dividing through by 4:

x² = (16 - 16y²)/4

x² = 4 - 4y²

Taking square root of both sides:

[tex]x=\sqrt{4-4y^2 }\\[/tex]

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.

The area of a rectangle inscribed inside an ellipse is given by:

Area (A) = 4xy

A = 4xy

[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]

Therefore the length = 2x = 2√2, the width = 2y = 2/√2

The required measure of the radius inscribed in the triangle RST is 11.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2

Now,
Radius = XU
          = -2(2) + 15
          = 11

Thus, the required measure of the radius inscribed in the triangle RST is 11.

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answer is 13

I hope it helpful

Answer:

The value of p² + r³, when p = 2 & r = 3

(2)²+(3)³=4+27=31

Answer:

60 + 2 + 0.8 +0.03 +0.007

Step-by-step explanation:

Add these up and yo get the same number: 62.837.

Answer:

2

Step-by-step explanation:

Answer:

162,811

Step-by-step explanation:

Answer:

1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

2) The expected amount of surcharges is $250

Step-by-step explanation:

Given that;

Y      0           1       2        3         4

p(y) 0.50   0.20   0.15   0.10   0.05

1)

Value of E(Y)

E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)

= 0 + 0.20 + 0.3 + 0.3 + 0.2

E(Y) = 1

Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

b)

Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,

E($100Y²) = 100E(Y)²

= 100∑Y²P(y)

= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)

= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )

= 100(2.5)

= $250

Therefore; The expected amount of surcharges is $250

Answer:

-4 and any number above.

Answer:

I think it's the 3 one if in wrong I'm sorry

Answer:

Step-by-step explanation:

Many points lie circle O

The points with a distance of 10 units will be on the circle

eg. (8,-2) or (4,6) both lie on the circle as they have a distance of 10 units from the center.

Answer:

Step-by-step explanation:

it a

Dave’s commission be for the month for sales worth $7000 is $900.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Dave receives 10% commission on his first $5000 and receives 20% commission on any sales beyond the first $5000.

He made sales worth $7000 this month,

Therefore, For the first $5000 he receives,

= (10/100)×5000.

= $500.

And for the rest (7000 - 5000) = $2000 he receives,

= (20/100)×2000.

= $400.

So, In total, he received (500 + 400) = $900

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Answer:

3/24 + 4/24 = 7/24

Step-by-step explanation:

Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.

Answer:

7 to 10 or 70%

Step-by-step explanation:

Answer:

A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.

Step-by-step explanation:

Answer:

The volume is: [tex]V = \frac{\pi}{3}[/tex] cubic units

Step-by-step explanation:

Volume of a solid:

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]

y = x, y =1, x = 0

This means that the upper function is y = 1, and the lower function is y = x. So

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

The lower limit of integration is x = 0.

The upper limit is y = x when y = 1, so x = 1.

Then

[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]

[tex]V = \pi \int_{0}^{1} (1-x)^2 dx[/tex]

[tex]V = \pi \int_{0}^{1} (1-2x+x^2) dx[/tex]

[tex]V = \pi (x-x^2+\frac{x^3}{3})|_{0}^{1} dx[/tex]

[tex]V = \pi(1 - (1^2) + \frac{1^3}{3})[/tex]

[tex]V = \frac{\pi}{3}[/tex]

Answer:

$6

Step-by-step explanation:

there was 11 total and 5 went into the soda and 6 went into the pizza so it's 6.

Answer:

Step-by-step explanation:

f(7) = 32

f(-9) = 32

f(s) = 32

f(s-t) = 32

g(7) = 10·7+4 = 74

g(-9)  = 10(-9)+4 = -86

Answer:

3rd is the answer

Step-by-step explanation:

caculator duhhhhhhhhhh

1n=n Answer:

Step-by-step explanation:

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Complete question :

A college football coach wants to know if the is a correlation between his players' leg strength and the time it takes for them to sprint 40 yards. he sets up the following test and records the data:

Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?

Leg Press (reps)|40-yard Dash (s)

15 |5.2

18 |6.3

8 |6.8

30 |8.2

26 |8.0

12 |5.3

21 |5.9

Answer:

ŷ = 0.1073X + 4.5365

6.9

Step-by-step explanation:

Leg Press (reps)X:

15

18

8

30

26

12

21

Y:

5.2

6.3

6.8

8.2

8.0

5.3

5.9

Using a regression calculator :

The equation of line of best fit is :

ŷ = 0.1073X + 4.5365

Slope or gradient = 0.1073

Intercept = 4.5365

X = independent or predictor variable (leg press)

Y = predicted variable (40 yard dash)

B)

X = 22

Y = 0.1073(22) + 4.5365

Y = 6.8971

Y = 6.9

1452 is 33x44’s sum

  33

x 44

____

 132

1320

1452

Answer:

1452

Step-by-step explanation:

33 * 44 = 1452

Answer:

216 m

Step-by-step explanation:

12/4= x/6

3=x/6

x=3x6

length= 18

area=length x width

12x18=216

Answer:

A) 1000/1 = x/2500 is the answer

Answer:

2x+2x2=32

2x+4=32

Step-by-step explanation:

Answer:

abc

Step-by-step explanation: