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[tex]\frac { 63 } { 5 } - \frac { 21 } { 5 } - \frac { 73 } { 5 }[/tex]

[tex]\frac{63-21}{5}-\frac{73}{5} [/tex]

[tex] \frac{42}{5}-\frac{73}{5} [/tex]

[tex] \frac{42-73}{5} [/tex]

[tex]\boxed{-\frac{31}{5}=-6.2}[/tex]

_____

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Answer:

314 cm^2

Step-by-step explanation:

A = pi(r^2)

A = (3.14)(10)^2

A = (3.14)(100)

A = 314 cm^2

Answer:

314.16

Step-by-step explanation:

a = πr²

a = π 10²

a = 314.16

I hope that this helps!!!!!

The cut-out from each corner that maximizes the volume is 3 inches.

The dimensions are given as:

[tex]\mathbf{Length = 15}[/tex]

[tex]\mathbf{Width = 24}[/tex]

Assume the cut-out is x.

So, the dimension of the board is:

[tex]\mathbf{Length = 15 - 2x}[/tex]

[tex]\mathbf{Width = 24 - 2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

The volume (V) is calculated as:

[tex]\mathbf{V = Length \times Width \times Height}[/tex]

So, we have:

[tex]\mathbf{V = (15 - 2x) \times (24 - 2x) \times x}[/tex]

Expand

[tex]\mathbf{V = 360x - 78x^2 + 4x^3}[/tex]

Differentiate

[tex]\mathbf{V' = 360 - 156x + 12x^2}[/tex]

Set to 0

[tex]\mathbf{ 360 - 156x + 12x^2 = 0}[/tex]

Divide through by 12

[tex]\mathbf{ 30 - 13x + x^2 = 0}[/tex]

Rewrite as:

[tex]\mathbf{ x^2 - 13x + 30 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{x = \{3, 10\}}[/tex]

The value of x = 10 is greater than the dimensions of the box.

So, we have:

[tex]\mathbf{x = 3}[/tex]

Hence, the cut-out from each corner that maximizes the volume is 3 inches.

Read more about maximum volumes at:

https://brainly.com/question/7063268

Answer:

X = 1

Step-by-step explanation:

Step-by-step explanation:

I don't get the question

32/5

本题已由中国数学会官方解答（现有会员：3人）  

Answer: I think 10ft apart

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.

Answer: D

Step-by-step explanation: Cause there's not year for how long alma saved so its D not here

Answer:

C. 7980.00

Step-by-step explanation:

by using the formula of interest =ie. 4200*4.75*4 and the answer will come 7980.00

Answer:

Integer

-NULL

Brainliest will be appreciated thank you!

Answer:

-8 ÷ 2 = -4

Step-by-step explanation:

just divide y by x

Answer:

(1)+(2) Substitute Y from (2) in (1):

X2+(1−X)2=1X2+(1−X)2=1

...

2X(X−1)=02X(X−1)=0

Hense X= 0 or X = 1.

by-step explanation:

Answer:

x = 8.8 or x = 44/5

Step-by-step explanation:

1) Multiply both sides of the equation by 4, and cancel out the 4 on the bottom of 3/4, this turns the equation into: 8x - 4 = 3x + 40

2) Move the x to the lefthand side and change the side, do the same for the constant (4), this turns the equation into: 8x - 3x = 40 + 4

3) Combine like terms, subtract 8x from 3x and add 40 to 4: 5x = 44

4) Divide both sides by 5, and your answer is 44/5 (or 8.8 when converted to a decimal)

Answer: c

Step-by-step explanation: doesnt show a number so example lets say its 0

Answer:

The line representing the number of miles Nick drives while performing x oil changes is steeper than the line representing the number of miles Natalie drives while performing x oil changes because he drives farther between oil changes than Natalie does.

Answer:

0.0302782

Step-by-step explanation:

Answer:

0.05124653739

Step-by-step explanation:

Answer: It should be D

Answer:The Indianapolis Motor Speedway is an automobile racing circuit located in Speedway, Indiana (an enclave suburb of Indianapolis) in the United States. It is the home of the Indianapolis 500 and the Verizon 200,[4] and formerly the home of the United States Grand Prix. It is the largest sports venue in the world. It is located on the corner of 16th Street and Georgetown Road, approximately six miles (10 km) west of Downtown Indianapolis.

Constructed in 1909, it is the second purpose-built, banked oval racing circuit after Brooklands and the first to be called a 'speedway'. It is the third-oldest permanent automobile race track in the world, behind Brooklands and the Milwaukee Mile. With a permanent seating capacity of 257,325,[1] it is the highest-capacity sports venue in the world.[5]

Considered relatively flat by American standards, the track is a 2.5-mile-long (4.0 km) rectangular oval with dimensions that have remained essentially unchanged since its construction. It has two 5⁄8-mile-long (1,000 m) straightaways, four geometrically identical 1⁄4-mile (400 m) turns, connected by two 1⁄8-mile (200 m) short straightaways, termed "short chutes", between turns 1 and 2, and between turns 3 and 4.

Step-by-step explanation:

The average displacement of the car would be 33.33 Km

Displacement [x] of an object is the length of the straight line joining the initial and final position of the object. Mathematically, if the velocity of the body is  'v' m/s at an instant of time, then displacement can be written as-

v = dx /dt

x = vdt

∫dx = ∫vdt

Given is the following problem -

A race car completes race in 10 minutes. Its average speed is 200km/hr.

The average displacement of the racetrack would be -

[x] = v x t = 200 x 1/6 = 33.33 Km

Therefore, the average displacement of the car would be 33.33 Km

To solve more questions on Kinematics, visit the link below

brainly.com/question/17465675

#SPJ2

[The question given is not completely written. Race track example is - A race car completes race in 10 minutes. Its average speed is 200km/hr. ]

1+1= 2 so if is add 1 doller and i p,opemimcn3 h3 hnhnhn3  

Answer: Single, under the age of 65 and not older or blind, you must file your taxes if: Unearned income was more than $1,050. Earned income was more than $12,000. Gross income was more than the larger of $1,050 or on earned income up to $11,650 plus $350.

i dont get the second part .. sorry

Answer:

the anwser is actually b

Answer:

Step-by-step explanation:

b

Answer:

Second option?

Step-by-step explanation:

I would go with the second one. It cannot be the first one because a function must have one y value per each x, but in this case it does not. Same reason for option 3 and 4. Am I right? Please let me know :)

Answer:

The answer is 4

Step-by-step explanation:

2/4 = 1/2

Answer:

4

Because 2/4 is basically 1/2

Answer:

y = 1x + 9

Step-by-step explanation:

This is probably a form of y = mx + b.

m = the slope of a line, which is up one over one (rise/run)

b = y-intercept, or what point is the line crossing at on the y axis.

This formula is very important and it's very helpful when plotting lines. So remember: y = mx + b  !!

Hopefully this helps! Leave a comment wether it does or not. :)

y=mx+b

y=x+9

choose any x coordinates

x = 0,1,2

y is equal to the x coordinate plus 9

in this case y will be

y = 9,10,11

respectively

graph the points:

(0,9)

(1,10)

(2,11)

Answer:

<B = 3(14) + 6 = 48 degrees

Step-by-step explanation:

4x+6+3x+6+5x = 180 degrees

12x + 12 = 180

12x = 180 - 12

x = 168/12

x = 14

Answer:

Step-by-step explanation:

r = 50

Circumference = 2πr

                          [tex]= 2 * 3.14 * 50\\\\= 314 \ ft[/tex]

Answer:

inconsistent; none

Step-by-step explanation:

Because 29 ≠ 94, the system is inconsistent. There are no solutions.

Answer:

y = -1/6x + 1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 0 / 32 - 2

-5 / 30

= -1/6

y = -1/6x + b

0 = -1/6(2) + b

0 = -1/3 + b

1/3 = b

Answer:

44.4 or 14.9 depending on which volume is being stated

Step-by-step explanation:

Not sure if it is the smaller cube or the bigger cube that is 3250 cm^3 so ill do both.

LARGER CUBE IS 3250 cm^3

first find the side length by finding the cube root of 3250, which is about 14.8, then divide that by 3 to find the side length of the smaller cube, which is about 4.9.

SMALLER CUBE IS 3250 cm^3

first find the side length by finding the cube root of 3250, which is about 14.8, then multiply that by 3 to find the side length of the larger cube, which is about 44.4.