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USPshnik [31]
3 years ago
12

You have 1,000,000 number cubes, each measuring one inch on a side.

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

Volume: 1,000,000

Surface Area: 6,000,000

Step-by-step explanation:

The volume is 1,000,000

The surface area of 1 is 6 so the total surface area is 6,000,000

You might be interested in
QUESTION IN THE ATTACHMENT
eimsori [14]

Answer:

A. The sum of the first 10th term is 100.

B. The sum of the nth term is n²

Step-by-step explanation:

Data obtained from the question include:

Sum of 20th term (S20) = 400

Sum of 40th term (S40) = 1600

Sum of 10th term (S10) =..?

Sum of nth term (Sn) =..?

Recall:

Sn = n/2[2a + (n – 1)d]

Sn is the sum of the nth term.

n is the number of term.

a is the first term.

d is the common difference

We'll begin by calculating the first term and the common difference. This is illustrated below:

Sn = n/2 [2a + (n – 1)d]

S20 = 20/2 [2a + (20 – 1)d]

S20= 10 [2a + 19d]

S20 = 20a + 190d

But:

S20 = 400

400 = 20a + 190d .......(1)

S40 = 40/2 [2a + (40 – 1)d]

S40 = 20 [2a + 39d]

S40 = 40a + 780d

But

S40 = 1600

1600 = 40a + 780d....... (2)

400 = 20a + 190d .......(1)

1600 = 40a + 780d....... (2)

Solve by elimination method

Multiply equation 1 by 40 and multiply equation 2 by 20 as shown below:

40 x equation 1:

40 x (400 = 20a + 190d)

16000 = 800a + 7600. ........ (3)

20 x equation 2:

20 x (1600 = 40a + 780d)

32000 = 800a + 15600d......... (4)

Subtract equation 3 from equation 4

Equation 4 – Equation 3

32000 = 800a + 15600d

– 16000 = 800a + 7600d

16000 = 8000d

Divide both side by 8000

d = 16000/8000

d = 2

Substituting the value of d into equation 1

400 = 20a + 190d

d = 2

400 = 20a + (190 x 2)

400 = 20a + 380

Collect like terms

400 – 380 = 20a

20 = 20a

Divide both side by 20

a = 20/20

a = 1

Therefore,

First term (a) = 1.

Common difference (d) = 2.

A. Determination of the sum of the 10th term.

First term (a) = 1.

Common difference (d) = 2

Number of term (n) = 10

Sum of 10th term (S10) =..?

Sn = n/2 [2a + (n – 1)d]

S10 = 10/2 [2x1 + (10 – 1)2]

S10 = 5 [2 + 9x2]

S10 = 5 [2 + 18]

S10 = 5 x 20

S10 = 100

Therefore, the sum of the first 10th term is 100.

B. Determination of the sum of the nth term.

First term (a) = 1.

Common difference (d) = 2

Sum of nth term (Sn) =..?

Sn = n/2 [2a + (n – 1)d]

Sn = n/2 [2x1 + (n – 1)2]

Sn = n/2 [2 + 2n – 2]

Sn = n/2 [2 – 2 + 2n ]

Sn = n/2 [ 2n ]

Sn = n²

Therefore, the sum of the nth term is n²

6 0
2 years ago
Justify each step of this inequality by stating the property that was used to get to each step.
Allushta [10]

Answer:

Step-by-step explanation:

step 1 simplified like terms -11k +3k =8k

step 2 incorrect should be -4k -20 on the left side distributive property

step 3 added 8k to each side

step 4 added 20 to each side

step 5 divided each side by 4

6 0
2 years ago
the cafeteria staff made sandwich each sandwich had either rye or white bread either ham or turkey and either cheese or no chees
nata0808 [166]

The complete question is

"The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich.

The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich.

What are the chances that Mary will get a sandwich with cheese?"

The chances of Mary getting a sandwich with cheese is 1/2.

<h3>How to calculate the number of different ways?</h3>

The number of different sandwiches is calculated by multiplying all of the possibilities for each material being used.

rye or white bread: 2 options

ham or turkey: 2 options

cheese or no cheese: 2 options

So the number of different sandwiches = 2*2*2 = 8.

4 have cheese and 4 have no cheese, as the staff made an equal number of each type of sandwich.

So, The chances of Mary getting a sandwich with cheese is 4/8 = 1/2.

Learn more about possibilities ;

brainly.com/question/15577149

#SPJ1

3 0
1 year ago
(06.06 MC) The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
zheka24 [161]

Answer:

step 2

Step-by-step explanation:

theres a one in front of the () meaning it should have look like this

4+4x+2

7 0
2 years ago
What’s the slope and y - intercept of this equation ?
Jlenok [28]
Slope 4x and y-intercept is -10 I think I’m positive
8 0
2 years ago
Read 2 more answers
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