Simplify -3√72

A
-18√6

B
-6√6
C
-18√2
D
6√2

Answer:

The total number of cubes in the rectangular prism are 1,120 cubes

Step-by-step explanation:

The given parameters are;

The dimensions of the rectangular prism block of wood = (n + 5), (n + 8), and (n + 14)

The volume of the block of wood = (n + 5)×(n + 8)×(n + 14) = n³ + 27·n² + 222·n + 560

The quantity of the 1  cm cubes that have no paint = 1/2 of the total quantity = 1/2 the volume of the original cube

The cubes that have paint on them are the surface cubes, we have;

One layer of cube is removed from each of the eight sides, therefore, we have the dimensions of the cube rectangular prism that have no paint on them given as (n + 5 - 2), (n + 8 - 2), and (n + 14 - 2), which gives the dimensions as (n + 3), (n + 6), and (n + 12);

Therefore, we have

2 × (n + 3)×(n + 6)×(n + 12) = (n + 5)×(n + 8)×(n + 14)

2 × (n + 3)×(n + 6)×(n + 12) - (n + 5)×(n + 8)×(n + 14) = 0  

Which gives;

n³ + 15·n² + 30·n - 128 = 0

n = 2

n = -17/2 - √(33)/2 = -5.6277

n = √(33)/2 - 17/2 = -11.3722

Therefore, given that the smallest dimension of the painted prism = (n + 5), the possible value for n = 2

The volume of the rectangular prism = (n + 5) × (n + 8) × (n + 14) = (2 + 5) × (2 + 8) × (2 + 14) = 1120 cm³

Given that the cuts are 1 cm³ each, the total number of cubes in 1,120 cm³ = 1,120 cubes.

Answer:

Step-by-step explanation:

The gradient of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{ - 6 - - 2}{0 - 2} = \frac{ - 6 + 2}{ - 2} = \frac{ - 4}{ - 2} = 2 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

the answer is 3 hope this helps

Answer:

45.25 in

Step-by-step explanation:

To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).

h(t)=-3(7/2)^2+12(7/2)+40

=-3(49/4)+(84/2)+40

=(-147/4)+42+40

=-36.75+42+40

=45.25 in

Answer:

I wanted to know how many stars are in the sky above my house I counted and made the estimate of 80

Answer:

.42 miles more

Step-by-step explanation:

12.98 minus 12.56

Answer:

2a2 + 4a + 7

Step-by-step explanation:

As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)

= 2a2 + 4a + 13

Answer:

-7 and 12 gl

Step-by-step explanation:

Answer:

1. -7

2. 12

Step-by-step explanation:

Hope this helps :)

Answer:

huh wym?

you will see it?

Step-by-step explanation:

Answer:

b =  2A

         h

Step-by-step explanation:

A=bh/2

2A = bh

b =  2A

          h

Answer:

b=(2a)/h

Step-by-step explanation:

Multiply both sides by 2

2A=bh

Divide both sides by h

(2a)/h=b

Answer: 30

Step-by-step explanation:

Answer is 0.037

Hope this helps:)

Answer:

y + 4 = 6(x - 3)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: m = 6, (3, -4)

(x1, y1) = (3, -4)

Input the given values into the equation for point-slope form:

y - (-4) = 6(x - 3)

y + 4 = 6(x - 3)

The equation written in point-slope form is: y + 4 = 6(x - 3)

I hope this helps :)

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185

Step-by-step explanation:

hope it helps you

i think your question was this only

Answer:

Given the ratio of copper and zinc in an alloy is 5:3.

Let weight of copper and zinc be 5x and 3x.

Then according to the problem we have,

5x=30.5

or, x=6.1

Then weight of zinc is 3×6.1=18.3 g.

pls give brainlist

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

B

Step-by-step explanation:

The triangle reflects over the y-axis ,which is the vertical line, and then has a translation 2 units down

Answer:

Function A has a greater slope than Function B.

Step-by-step explanation:

An easy way to solve this would be to graph function B and see which line is steeper. The steeper line always has greater slope.

Answer:

A

Step-by-step explanation:

its function would be y=4x+2

Answer:

The image is sideways.

But if your graph is like on the image, then the answer is: {y│-3 ≤ y ≤ 4}

Range is the set of y values

Least function value is -3 and greatest is 4

Answer:

{y│-3 ≤ y ≤ 4}

Step-by-step explanation:

So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)

Answer:

a. 457 pixels b. 229 pixels c. 114 pixels

Step-by-step explanation:

a. Using d = √[(x₂ - x₁)² + (y₂ - y₁)²] to find the distance apart of the coordinates (x₁, y₁) and (x₂, y₂) where (x₁, y₁) = (36, 315) and (x₂, y₂) = (410, 53).

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(410 - 36)² + (53 - 315)²]

= √[374² + 262²]

= √[139,876 + 68,644]

= √208,520

= 456.64

= 457 pixels to the nearest pixel.

b. Since the players are d' distance apart, and moving at a same speed of v, if they approach each other, they meet at time t. So player A covers a distance of d = vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when vt = d' - vt.

Solving this, we have

vt = d' - vt

vt + vt = d'

2vt = d'

t = d'/2v

Substituting t into d = vt, we have

d = vt

= v(d'/2v)

= d'/2

= 457/2

= 228.5

≅ 229 pixels  to the nearest pixel

c. Since the players are d' distance apart, and player A moves at a speed three times that of player B, if player B moves with speed v, then player A moves with speed 3v, as they approach each other, they meet at time t. So player A covers a distance of d = 3vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when 3vt = d' - vt.

Solving this, we have

3vt = d' - vt

3vt + vt = d'

4vt = d'

t = d'/4v

Substituting t into d = vt, we have

d = vt

= v(d'/4v)

= d'/4

= 457/4

= 114.25

≅ 114 pixels to the nearest pixel

Answer:

the slope is 1/8 or 8/1 and the b=7 i think hope this helped and correct me if i am wrong

Step-by-step explanation:

Answer:

15 is the slope and 70 is the y-intecpet

Step-by-step explanation:

Given :

Martin drinks 1/4 of a litre of juice each day.

Juice costs £3.60 for a 2 litre carton and £2.00 for a 1 litre carton.

To Find :

Martin buys enough juice to last for 2 weeks (14 days).

What is the lowest price Martin can pay for this juice.

Solution :

Amount of litre used in 14 days is :

V = 14× ( 1/4 )

V = 3.5 liter

Lowest price to pay is :

P = 2 × Cost of one 2 L carton

P = £(2 × 3.60)

P = £7.2

The lowest price Martin can pay for this juice is £7.2 .

Hence, this is the required solution.

Answer:

ANSWER

g=f

−1

f(g(x))=x

Differentiate w.r.t.x

f

′

(g(x))⋅g

′

(x)=1

∴

1+(g(x))

4

1

⋅g

′

(x)=1

g

′

(x)=1+[g(x)]

4

Answer:

Your answer is 42

please mark me brain list

Answer:

Option (C)

Step-by-step explanation:

By using regression line calculator,

Equation of the regression line will be,

y = 0.4881x - 0.85714

Here y = Levels passed

x = Number of minutes played

Now we can check every option given.

Option (A)

For x = 2 minutes,

y = 0.4881(2) - 0.85714

  = 0.11906

  ≈ 0.1

False.

Option (B)

For x = 17 minutes,

y = 0.4881(17) - 0.85714

  = 8.2971 - 0.85714

  = 7.44

  ≈ 7th level

False.

Option (C)

For x = 20 minutes

y = 0.4881(20) - 0.85714

  = 9.762 - 0.85714

  = 8.9

  ≈ 9th level

True.

Option (D)

For x = 50 minutes,

y = 0.4881(50) - 0.85714

  = 24.405 - 0.85714

  = 23.54786

  ≈ 24th level

False.

Therefore, Option (C) will be the correct option.

Answer:

c

Step-by-step explanation: