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asambeis [7]
2 years ago
8

Which monomial represents the number of square units in the area of a circle with radius 3x 3 units?

Mathematics
1 answer:
HACTEHA [7]2 years ago
8 0

Answer:

9\pix^{4}

Step-by-step explanation:

A monomial is an algebraic expression with one term.

So that,

area of a circle = \pir^{2}

if r = 3x^{2}, then;

area of the circle = \pi x (3x^{2} )^{2}

                            = \pi x 9x^{4}

                            = 9\pix^{4}

The area of the circle is 9\pix^{4} square units.

Therefore, the monomial the represent the number of square units in the area of the circle is 9\pix^{4} square units.

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Which ordered pair are solutions to the linear<br><br> inequality? y&lt;5x-4
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Step-by-step explanation:

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Zinc has a density of 0.258 lb/in³ (pounds per cubic inch).
ollegr [7]

For this case we have that by definition the mass is given by:

m = D * V

Where,

  • <em>D: density </em>
  • <em>V: Volume </em>

The volume of a pyramid is given by:

V = \frac {1} {3} * A * h

Where,

  • <em>A: area of ​​the base </em>
  • <em>h: height </em>

Substituting values ​​we have:

V = \frac {1} {3} * (36) * (2.5)\\V = 30

We now calculate the mass:

m = (0.258) (30)\\m = 7.74\ lb

Answer:

he needs 7.74 pounds of zinc

5 0
3 years ago
What is the value of the expression 6+39÷3
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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
When a new charter school opened in 2000, there were 240 students enrolled. Write a formula for the function N ( t ) , represent
ehidna [41]

Complete Question:

When a new charter school opened in 2000, there were 240 students enrolled. Write a formula for the function N ( t ) , representing the number of students attending this charter school t years after 2000, assuming that the student population:

a) Increased by 44 students per year

b) Decreased by 32 students per year

c) Increased by 40 students every 2 years

d) Decreased by 24 students every 4 years

e) Remained constant

f) Increased by 5 students every semester (twice in a year)

Answer:

a) N(t) = 240 + 44t

b) N(t) = 240 - 32t

c) N(t) = 240 + 20t

d) N(t) = 240 - 6t

e) N(t) = 240

f) N(t) = 240 + 10t

Step-by-step explanation:

The original population of the students in year 2000 is 240.

I.e. N_0 = 240

Let the number of years = t

a) If the population increased by 44 students every year, the population, after t years, would have increased by 44t

Therefore, N(t) = N_o + 44t

N(t) = 240 + 44t

b) If the population decreased by 32 students per year, the population, after t years, would have decreased by 32t

Therefore, N(t) = N_o - 32t

N(t) = 240 - 32t

c) If the population Increased by 40 students every 2 years and increase is uniform per year, the population will increase by 40/2 = 20 students in 1 year. So in t years, the population would increase by 20 t.

Therefore,

N(t) = N_o + 20t\\N(t) = 240 + 20 t

d) Decreased by 24 students every 4 years

In 1 year, it decreases by 24/4 = 6 students

In t years, it decreases by 6t students

N(t) = N_o - 6t\\N(t) = 240 - 6 t

e) Remained constant

N(t) = N_o\\N(t) = 240

f) If the population increases by 5 students twice in a year

In 1 year, it increases by 5*2 = 10 students

In t years, it increases by 10t students

N(t) = N_o + 10t\\N(t) = 240 + 10 t

7 0
2 years ago
The principal of a school is hosting a small luncheon for her staff. She plans to prepare two sandwiches for each person. Some s
Otrada [13]

The constraints in the question are given by the definition of the variables;

The constraints are represented by the following equation and inequalities.

  • A. n ≥ 16
  • D. s = 2·n
  • F. 3s ≤ 225

Reasons:

The budget of the principal = $225

Number of people expected = 16 people

Number of sandwich per person = 2

Cost of each sandwich = $3

Required:

To select the inequalities that represent the situation's constraint

Solution:

The variable that represent the number of people attending = n

The number of sandwiches = s

From the question , we have;

The number of sandwich per attendee = 2 sandwiches

The total number of sandwich, <em>s</em>, for <em>n</em> attendees = 2·n

Therefore, we have;

<u>s = 2·n</u>

<u />

The number of people attending is at least 16, therefore;

<u>n ≥ 16</u>

<u />

The cost of the <em>s</em> sandwich = $3 × s

The total cost should be less than or equal to given budget of $225,

therefore;

<u>3s ≤ 225</u>

<u />

The equations and inequalities that could represent the constraints are;

A. n ≥ 16, D. s = 2·n, and F. 3s ≤ 225

Learn more here:

brainly.com/question/11961809

8 0
2 years ago
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