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Makovka662 [10]
3 years ago
11

Aaron has n pencils

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

x=3n

Step-by-step explanation:

three times as many pencils as ben = 3n

not sure why chloe was included

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Which formula can be used to describe the sequence?<br> *<br> *)=<br> )<br> -*
Flura [38]

Answer:

depends the sequence is an irrational

Step-by-step explanation:

4 0
3 years ago
The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately h
exis [7]

Answer: 10,985 students

Step-by-step explanation:

You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:

Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years

Number of years = 2010 - 1995 = 15 years

Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵

= 10,985 students

8 0
3 years ago
What value should go in the empty box to complete the calculation for finding the product?
Eddi Din [679]
I think it's 1,876,480 but I'm not sure
5 0
3 years ago
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Is the binomial a factor of the polynomial function?
olchik [2.2K]

Answer:

YES

NO

NO

Step-by-step explanation:

The given polynomial is: $ f(x) =  x^3 + 4x^2 - 25x - 100 $

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

        = 125 + 100 - 125 - 100

        = 225 - 225

        = 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

      = -8 + 16 + 50 - 100

     = -108 + 66

     ≠ 0

Therefore, (x  + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

        = 64 + 64 - 100 - 100

        = 128 - 200

        ≠ 0

Therefore, (x - 4) is not a factor of f(x).

7 0
3 years ago
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians
Gennadij [26K]

<em><u>Question:</u></em>

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

<em><u>Answer:</u></em>

<h3>Arc length is 11.30 feet</h3>

<em><u>Solution:</u></em>

Given that,

Radius of circle = 12.6 feet

Central angle = \frac{2 \pi }{7} radians

To find: Arc length

<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>

s = r \times \theta

Where,

s is the arc length

r is the radius

\theta is the central angle in radians

<em><u>Substituting the values we get,</u></em>

s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30

Thus, arc length is 11.30 feet

7 0
3 years ago
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