6.012 as a fraction or a mixed number in simplest form

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

8_murik_8 [283]

Volume of pyramid:

$V= \dfrac{1}{3} \cdot A \cdot H$

A - base area
H - height

First count volume of one pyramid:

$V=\dfrac{1}{3} \cdot 3 \cdot 4=4 [\hbox{inch}^3]$

So by using 576 inch^3 you can make 576 : 4 = 144 pyramids

3 0

4 years ago

Read 2 more answers

Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jean

Evgesh-ka [11]

Answer:12,376

Step-by-step explanation:

Given

Connie has 17 Pairs of jeans

She has to choose 6 pairs out of 17

We know, no of ways to pick r items out of n items is $^nC_r$

$\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}$

6 0

3 years ago

Write a function to represent the set of ordered pairs.

77julia77 [94]

Answer:

Option C $f (x) = x^ 2 - 2$

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

$y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9$

Therefore the relationship is not linear.

However, the exchange rate $y_n- y_{n-1}$ increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

$y = x ^ 2$

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is $y = x ^ 2$ then the function that contains the ordered pairs of the B set is:

$y = x ^ 2 -2$

The correct option is option C) $f (x) = x^ 2 - 2$

8 0

3 years ago

( Multiple choice) In the game of miniature golf, the ball bounces off the wall at the same angle it hit the wall. (This is the

Goshia [24]

The answer is A because if you do the 40 dagree and a coodinate plane it forms a triangle.

6 0

3 years ago

Read 2 more answers

All employees at three stores of a large retail chain were asked to fill out a survey.a. Is it random b. Systematic c. Stratifie

aleksandrvk [35]

Answer:

d. Cluster

Step-by-step explanation:

Random: Random is asking a group of people from a population. For example, to estimate the proportion of Buffalo residents who are Bills fans, you ask 100 Buffalo residents and estimate to the entire population.

Systematic: Similar to random. For example, you want to estimate something about a population, and your sample is every 5th people you see on the street.

Cluster:Divides the population into groups, with geographic characteristics.. Each element is the groups is used. Suppose you want to study the voting choices of Buffalo Bills players. You can divide into offense, defense and special teams, and ask each player of these 3 groups.

Stratified: Done on a group of clusters, that is, from each cluster(group), a number of people are selected.

In this problem, we have that:

All employees at three stores of a large retail chain were asked to fill out a survey.

Divided by clusters(stores).

So the orrect answer is:

d. Cluster

5 0

3 years ago