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3 years ago

13

Prime factorization of 8775

1 answer:

Igoryamba3 years ago

5 0

3^3*5^2*13 is the prime factorization of 8775

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While packing for thier cross-country move, the chen family uses a crate that has the shape of a cube. The Chens want to pack a

Brrunno [24]

If the framed picture is shaped like a square and has a 12 square foot surface area, then the answer is yes, it will fit flush against the edge of the crate.

Given Part A:

the volume of the cube = 64 cubic feet

therefore, ∛64 = 4 feet

hence one edge measures 4 feet.

Now for Part B:

the area of the square is 12 square feet.

hence, √12 = 3.36 feet.

we can observe that 3.46<4

which indicates that the area covered by the painting is less than that of the one side of the crate, which makes it easy for the painting to fit in the crate.

Hence the painting will fit a side of crate.

Learn more about Area and Perimeter here:

brainly.com/question/24571594

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Your question was incomplete. Please find the missing content here.

While packing for their cross-country move, the Chen family uses a that has the shape of a cube. PART A PART B If the crate has the volume V = 64 cubic feet, The Chens want to pack a large, framed painting. If an area of 12 square feet , will the painting fit flat what is the length of one edge? the framed painting has the shape of a square with against a side of the crate? Explain.

3 0

2 years ago

3x + y = 6<br> 5x - 2y = 10

Eddi Din [679]

Answer:

x=2

y = 0

Step-by-step explanation:

3x + y = 6 -------------(i)

5x - 2y = 10 -------------(ii)

Multiply (i) by 2 ===> 6x +2y = 12

(ii) ===> <u> 5x - 2y = 10</u>

add ============> 11x = 22

x = 22/11

x = 2

Substitute x = 2 in (i)

3*2 + y = 6

6 + y = 6

y = 6 - 6

y = 0

3 0

3 years ago

Need The answer to the question

lord [1]

Answer:

10(10)

Step-by-step explanation:

7 0

3 years ago

If mark can make 42 cakes in 7 days how many can he make in 5 days

ipn [44]

42%7=6. 6 times 5 is 30. 30 cakes in 5 days.

6 0

3 years ago

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

a.

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

b.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

c.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

d.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

e.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

2 years ago