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3 years ago

13

Five cubes are lined up to form a solid. The side lengths of the cubes are 1ft, 2ft, 3ft, 4ft, and 5ft. What is the volume of th

e solid?

1 answer:

Tanzania [10]3 years ago

5 0

1 + 8 + 27 + 64 + 125 = 225 ft^3

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The constraints of a problem are listed below. What are the vertices of the feasible region?

Luda [366]

Answer: option 1.

Explanation:

feasible region is that region which is formed by the lines of constraints.

feasible region is shaded in the attached graph

inequalities becomes equalities to draw the graph

and lines will head towards the origin if constraint satisfied by putting x= 0, y=0

and on the contrary lines will move away from origin when condition of constraint does not satisfied.

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3 years ago

Read 2 more answers

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

<u>At, </u>

<u>n = 1</u>

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

<u>At, </u>

<u>n = 2</u>

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

<u>At, </u>

<u>n = 3</u>

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

<u>At, </u>

<u>n = 4</u>

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

The distribution of the amount of turkey individual Americans eat in a year is approximately normal with an average of 16.7 poun

Mumz [18]

Answer:

82.88%

Step-by-step explanation:

Given that:

Mean (μ) = 16.7 pounds

Standard deviation (σ) = 3.8 pounds

Number of pounds eaten = 11.5 = x

P(11.5 ≥ x ≤11.5)

P(x ≤ 11.5) :

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)

P(x ≥ 11.5) ;

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)

P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)

0.91441 - 0.085593 = 0.828817

0.828817 * 100% = 82.88%

5 0

3 years ago

Gregory used a calculator to find the equation h = 1.32t + 1.56, where t is the number of days after the grass was trimmed and h

hram777 [196]

Answer:

J

Step-by-step explanation:

h = 1.32t + 1.56

Replace t with 4 (days):

h = 1.32(4) + 1.56

Multiply:

h=5.28 + 1.56

Add:

h=6.84

The correct choice is J

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3 years ago

Write a flow chart for the following

expeople1 [14]

I dont see the question

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3 years ago