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3 years ago

Find the difference (ab+4a-6) - (ab-6)

Mathematics

2 answers:

oksano4ka [1.4K]3 years ago

8 0

((ab + 4a - 6 )) - ((ab-- 6)) = ab + 4a - 6 - ab + 6= 4a

maw [93]3 years ago

3 0

(ab + 4a - 6) - (ab - 6) = ab + 4a - 6 - ab + 6 = (ab - ab) + (6 - 6) + 4a = 4a

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Help will mark brainlist if it correct If each edge of a cube is increased by 2 inches, the

Anastasy [175]

Answer:

D. sum of these edges is increased by 24 inches -- True

Step-by-step explanation:

Given a cube and its edge is increased by 2 inches.

To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.

Solution:

Let the side of original cube = a inches.

Formula for volume of cube:

$V =side^3 = a^3$

If the side is increased by 2 inches, the side becomes (a+2) inches.

So, new volume, $V' = (a+2)^3$

Using the formula:

$(x+y)^3 =x^3+y^3+3xy(x+y)$

$V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)$

So, $V' = V + 8+6a(a+2)$

Volume increased by 8+6a(a+2) [which is not equal to 8]

So, statement is false:

A. volume is increased by 8 cubic inches -- False

Each face in a cube is a square.

Area of each face, A = $side^2 = a^2$

New area, A' = $(a+2)^2$

Using the formula: $(x+y)^2 =x^2+y^2+2xy$

$A' = a^2+4+4a$

Area increased by 4+4a [which is not equal to 4 sq inches]

B. area of each face is increased by 4 square inches -- False

Diagonal of each face = $a\sqrt2$

Increase of 2 in the edge:

New diagonal = $(a+2)\sqrt2 = a\sqrt2+2\sqrt2$

So, increase of $2\sqrt2$ not 2.

C. diagonals of each face is increased by 2 inches -- False

There are 12 number of edges in a square.

So sum of all 12 edges = 12a

When edge is increased by 2, sum of all edges = 12(a+2) = 12a + 24

An increase of 24.

D. sum of these edges is increased by 24 inches -- True

4 0

3 years ago

The sum of two consecutive integers is 17. Which equations could be used to find the twoconsecutive integers? Select all that ar

natka813 [3]

hello

the answer to the question is option A

to solve a problem like this, let x represent the first number

x + (x + 1) = 17

x = first number

x + 1 = successive number

6 0

2 years ago

50 points

xxMikexx [17]

I cant answer this on a computer sorry I would if I could though.

4 0

4 years ago

Read 2 more answers

Please help it's homework <img src="https://tex.z-dn.net/?f=y%20-%20x%20%3D%203%20%5C%5C%20xy%20%3D%2010" id="TexFor

lora16 [44]

Answer:

x = 2 and y = 5

Step-by-step explanation:

Given equations are :

y-x = 3 ......(1)

xy = 10 or

x = (10/y) ....(2)

Put the value of x in equation (1).

$y-\dfrac{10}{y}= 3\\\\y^2-10=3y\\\\y^2-3y-10=0\\\\y=0\ and\ y=5$

Put the value of y in equation (2).

$x=\dfrac{10}{5}\\\\x=2$

So, the value of x is equal to 2 and that of y is equal to 5.

5 0

3 years ago

A chemical plant is required to maintain sulfur dioxide levels in the working environment atmosphere at an average level of no m

grigory [225]

Answer:

1. Type I error = 0.0241

2. Power of test = 0.2146

Step-by-step explanation:

Test statistic:

z = (x- µ)/(σ/√n)

= (0.15 - 0.125)/(0.04/√10)

= 0.025/0.0126

= 1.9764

p-value = 1- NORM.S.DIST(1.9764, 1)

= 0.0241

Type I error = 0.0241

If true µ₁ = 0.14,

then Power, (1 - β) is given as;

1 - β = P(X ≥ 0.15 | µ₁ = 0.14)

= P(Z ≥ (0.15 - 0.14)/(0.04/√10) )

= P(Z ≥ 0.79)

= 1 - P(Z < 0.79)

Using excel function :

= 1 - NORM.S.DIST(0.79, 1)

= 1 - 0.7854

= 0.2146

Power of test = 0.2146

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3 years ago