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Answer:

Step-by-step explanation:

For all Plato users

The amount of concrete needed after doubling the diameter of the circle will be multiplied by 4 by the initial amount. Hence, the correct option is (B).

Direct proportions are the proportions where a variable changes with another variable by direct mean so the coefficient of constant will be direct.

For example y ∝ x² here y varies with respect to x square.

y = Kx² where k will be the coefficient of constant.

Given that amount is Amount ∝ d²

Amount = k d²

By doubling the diameter

Amount = k (2d)²

Amount = 4 kd²

Amount = 4 × initial amount hence, the amount will be multiplied by 4.

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Answer: It will be an even number.

Step-by-step explanation: ........

Answer:

Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.

Step-by-step explanation:

does this help?

Answer:

The answer would be 45 minutes.

Step-by-step explanation:

Just skipped to the answer on Edementum.

A fraction is a way to describe a part of a whole. The time it takes Edward to cut the lawn alone is 45 minutes.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let the time taken by Maya to lawn the garden be x.

The rate at which Maya lawn = 1/x

Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Therefore,

The rate at which Edward lawn = 1/(x+15)

Working together they can both cut a lawn in 18 minutes.

The rate at which they both work = 1/18

Now, the rate of working can be compared as,

1/x + 1/(x+15) = 1/18

(x+ x + 5)/x(x+15) = 1/18

(2x + 15)18 = x(x+15)

36x + 270=x² + 15x

x²-21x-270=0

x = 30, -9

Since time can not be negative. Therefore, the time it takes Edward to cut the lawn alone is,

x + 15

= 30 + 15

= 45 minutes

Hence, the time it takes Edward to cut the lawn alone is 45 minutes.

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Answer:

The light intensity is 528 foot-candles at 5 feet

Step-by-step explanation:

If x and y are in inverse variation, then x y = k, where k is the constant of variation

In the given question

∵ The intensity I, of light received at a source, varies inversely as the

   square of the distance d, from the source

→ That means I × d² = k, where k is the constant of variation

∴ I × d² = k

∵ I = 33 foot-candle at d = 20 feet

→ Substitute them in the rule above to find k

∴ 33 × (20)² = k

∴ 33 × 400 = k

∴ 13200 = k

→ Substitute the value of k in the equation

∴ I × d² = 13200 ⇒ equation of variation

∵ d = 5

→ Substitute it in the equation to find I

∵ I × (5)² = 13200

∴ I × 25 = 13200

→ Divide both sides by 15

∴ I = 528

∴ The light intensity is 528 at 5 feet

Answer:

what?

Step-by-step explanation:

Answer:

i think its a

Step-by-step explanation:

Answer: 5x - 9

Hope this helps :)

Answer:the other one is wrong

Step-by-step explanation:5x - 9is wrong

Answer:b

we start with 24 but as we get to the first minute we have already lost 3 gallons and so on.

By algebra properties, the x-value such that expression 0.5 · x - 3 = - 4.

In this problem we must determine the value of x such that the following expression is satisfied:

0.5 · x - 3 = - 4

This can be solved by means of algebra properties. First, write the entire expression:

0.5 · x - 3 = - 4

Second, clear the variable x by algebra properties:

0.5 · x = 3 - 4

0.5 · x = - 1

x = - 2

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Answer:  g(x) = (x-2)^2 + 1. Choice C

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

Explanation:

The graphs have the same shape, which means they have the same 'a' value.

In this case, a = 1.

The vertex of the red graph is (0,0).

The vertex of the blue parabola is (2, 1)

The red curve has been shifted 2 units to the right and 1 unit up.

Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.

Plug a = 1, h = 2 and k = 1 to get...

y = a(x-h)^2 + k

y = 1(x-2)^2 + 1

g(x) = (x-2)^2 + 1

Answer:

C.

Step-by-step explanation:

Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).

9514 1404 393

Answer:

  800(9 +√2) cm² ≈ 8331.4 cm²

Step-by-step explanation:

The surface area of the pyramid is the sum of the areas of the base and triangular faces.

The base area is given by ...

  A = 2(1 +√2)s² . . . . . where s is the length of one side

  A = 2(1 +√2)(20 cm)² = 800(1 +√2) cm²

The lateral area is given by ...

  A = (1/2)Ph . . . . . where P is the perimeter of the base and h is the slant height

  A = (1/2)(8)(20 cm)(80 cm) = 6400 cm²

Then the total surface area of the pyramid is ...

  SA = (800(1 +√2) +6400) cm² = 800(9 +√2) cm² ≈ 8331.4 cm²

Answer:

I cant see the picture

Step-by-step explanation:

I cant see the picture

Answer:

value of x is for values that are excludedor or left out

Answer:

The slope (or m) would be 3/8. Hope this helps!

slope: M=3/8

-3x+8y=12

3/8x+3/2

M=3/8

Hope this helped

Answer: after 2 monthly price reductions

Step-by-step explanation:

Given that :

Wholesale cost = $20 each

Markup = 50%

Selling price = $20 + (50% * 20) = $30

After each month selling price reduces by 20%;

Dip in price per month for which item didn't sell ;

Let m = Number of months

$30 - 0.2(30)m = $30 - 6m

After how many monthly price reductions did the price dip below the wholesale cost?

$30 - 6m < $20

-6m < $20 - $30

-6m < - $10

m > 10/6

m > 1.667

m = 2

After 2 monthly price reduction

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

need more information

Answer:

it is 4

Step-by-step explanation:

the slope is always the number in front of the X

Step-by-step explanation:

Subtract 2z2z from both sides of the equation.

x−2y+z=1x-2y+z=1

y=5−2zy=5-2z

x+y+3z=8x+y+3z=8

Replace all occurrences of yy with 5−2z5-2z in each equation.

x−2(5−2z)+z=1x-2(5-2z)+z=1

y=5−2zy=5-2z

x+5−2z+3z=8x+5-2z+3z=8

Simplify each equation.

x−10+5z=1x-10+5z=1

y=5−2zy=5-2z

x+5+z=8x+5+z=8

Move all terms not containing xx to the right side of the equation.

x=11−5zx=11-5z

y=5−2zy=5-2z

x+5+z=8x+5+z=8

Replace all occurrences of xx in x+5+z=8x+5+z=8 with 11−5z11-5z.

x=11−5zx=11-5z

y=5−2zy=5-2z

(11−5z)+5+z=8(11-5z)+5+z=8

Simplify (11−5z)+5+z(11-5z)+5+z.

x=11−5zx=11-5z

y=5−2zy=5-2z

−4z+16

Answer: (-9, 1, 4)

Step-by-step explanation:

its right on acellus

Answer:

A: False

B: False

C: True

D: True

E: False

F: True

G: True

H: True

Step-by-step explanation:

A: 9(x - 2) = 9x + 2

9x - 18 = 9x + 2 FALSE

B: 65 - y = y - 65

(equation rearranged) -y + 65 = y - 65 FALSE

C: g (times) h = h (times) g     (TRUE due to the commutative property of multiplication)

D: a (times) 0 = 0      (TRUE because anything times 0 equals 0)

E: (4 (times) 2) - r = 4 (2 (times) r)

8 - r =  8 - 4r FALSE

F: k + 0 = k TRUE

G: (a + x) + y = a + (x + y)

a + x + y = a + x + y TRUE

H: 5(2x - 9) = 10x - 45

10x - 45 = 10x - 45 TRUE

Answer:

0.5-1

Step-by-step explanation:

Answer:

28/35 = 4/5

Step-by-step explanation:

28 divided by 7 = 4

35 divided by 7 = 5

Answer:

√27

Step-by-step explanation:

3×√3 = 5.196

√27 = 5.196

Answer:

27

Step-by-step explanation:

StartRoot 27 EndRoot cm

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