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jeyben [28]
2 years ago
7

Create a 5th degree trinomial that has a constant term of 3.

Mathematics
1 answer:
erastovalidia [21]2 years ago
8 0

Answer:

4x^5\:+\:9x^2\:+\:3 is a trinomial having three terms, with degree 5 and the constant term '3'.

Step-by-step explanation:

Considering the trinomial

4x^5\:+\:9x^2\:+\:3

As the polynomial contains 3 terms, so it is a trinomial.

As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.

Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.

Therefore, 4x^5\:+\:9x^2\:+\:3 is a trinomial having three terms, with degree 5 and the constant term '3'.

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For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp
Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

\frac{1}{365}

a) Probability that  exactly 3 people have same birthday = \frac{1}{365^3}

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = \frac{1}{365^3}

Expected value of days = np = \frac{1}{365^2}

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0
3 years ago
A solution is heated from 0°C to 100°C. Between 0°C and 50°C, the rate of temperature increase is 1.5°C/min. Between 50°C and 10
muminat

Answer:

0.6 °C/min

Step-by-step explanation:

The relationship between rates and movement is ...

time = distance/speed

Here, the "distance" is measured in °C, and the "speed" is the rate of change of temperature.

For the first half of the heating, the time required is ...

(50°C -0°C)/(1.5 °C/min) = 50/(3/2) min = 100/3 min

For the second half of the heating, the time required is ...

(100°C -50°C)/(4/10 °C/min) = 50/(4/10) = 125 min

Then the total time is ...

((100/3) +125) min = (475/3) min

And the average rate of temperature increase is ...

total temperature change / total time

= (100°C -0°C)/(475/3 min) = 300/475 °C/min = 12/19 °C/min ≈ 0.6 °C/min

4 0
2 years ago
-6.4 = z/6<br>what does z =?​
Alecsey [184]

Answer:

-38.4

Step-by-step explanation:

Multiply both sides by 6 to get rid of the /6 then you would get z alone

4 0
2 years ago
If f(x)=x^5-1 g(x)=5x^2 and h(x)=2x which expression is equivalent to [g*f*h](9)
vagabundo [1.1K]
F(x) = x^5 - 1; g(x) = 5x^2; h(x) = 2x

Answer:
\underbrace{5(\underbrace{(\underbrace{2\cdot9}_{h(9)})^5-1}_{f(g(9))})^2}_{g(f(h(9)))}    \boxed{C.}
6 0
3 years ago
What is the value of s
frutty [35]

Answer:

30.9°

Step-by-step explanation:

Right Angle Triangle = 90°

59.1 + ? = 90

90 - 59.1 = 30.9

7 0
3 years ago
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