1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yaroslaw [1]
2 years ago
6

Factor trinomial x^2n+10x^n+16​

Mathematics
1 answer:
iragen [17]2 years ago
8 0

Answer:

\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)

You might be interested in
Help me :((
NARA [144]

Answer:

(-x,-y)

180*

Step-by-step explanation:

This is the right answer

8 0
3 years ago
Read 2 more answers
Use only an associative property to rewrite the following expression.<br> (pk)•r=
Gennadij [26K]

Answer:

Step-by-step explanation:

(pk) * r = p * (kr)

5 0
3 years ago
Using the distance formula, calculate how far Tre threw the ball. (4 points: 2 points for setup, 1 for calculation, 1 for the an
sergij07 [2.7K]

Answer:

D = 63.717

Step-by-step explanation:

The details that complete the question are:

(x_1,y_1) = (0,42.78)

and

(x_2,y_1)=(90,42.78)

Required

Determine how far the ball travelled

Distance is calculated using:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute values for x's and y's

D = \sqrt{(42.78 - 0)^2+(42.78-90)^2}

D = \sqrt{42.78^2+(-47.22)^2

D = \sqrt{1830.1284+2229.7284

D = \sqrt{4059.8568

D = 63.717

<em>Hence, the ball travelled a distance of 63.717 units</em>

6 0
3 years ago
Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodo
Shkiper50 [21]

Answer:

a) P(X\leq 4)=0.0183+0.0733+ 0.1465+0.1954+0.1954=0.6288

P(X< 4)=P(X\leq 3)=0.0183+0.0733+ 0.1465+0.1954=0.4335

b) P(4\leq X\leq 8)=0.1954+0.1563+0.1042+0.0595+0.0298=0.5452

c) P(X \geq 8) = 1-P(X

d) P(4\leq X \leq 6)=0.1954+0.1563+0.1042=0.4559

Step-by-step explanation:

Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that X \sim Poisson(\lambda=4)

The probability mass function for the random variable is given by:

f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...

And f(x)=0 for other case.

For this distribution the expected value is the same parameter \lambda

E(X)=\mu =\lambda=4  , Var(X)=\lambda=2, Sd(X)=2

a. Compute both P(X≤4) and P(X<4).

P(X\leq 4)=P(X=0)+P(X=1)+ P(X=2)+P(X=3)+P(X=4)

Using the pmf we can find the individual probabilities like this:

P(X=0)=\frac{e^{-4} 4^0}{0!}=e^{-4}=0.0183

P(X=1)=\frac{e^{-4} 4^1}{1!}=0.0733

P(X=2)=\frac{e^{-4} 4^2}{2!}=0.1465

P(X=3)=\frac{e^{-4} 4^3}{3!}=0.1954

P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954

P(X\leq 4)=0.0183+0.0733+ 0.1465+0.1954+0.1954=0.9646

P(X< 4)=P(X\leq 3)=P(X=0)+P(X=1)+ P(X=2)+P(X=3)

P(X< 4)=P(X\leq 3)=0.0183+0.0733+ 0.1465+0.5311=0.7692

b. Compute P(4≤X≤ 8).

P(4\leq X\leq 8)=P(X=4)+P(X=5)+ P(X=6)+P(X=7)+P(X=8)

P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954

P(X=5)=\frac{e^{-4} 4^5}{5!}=0.1563

P(X=6)=\frac{e^{-4} 4^6}{6!}=0.1042

P(X=7)=\frac{e^{-4} 4^7}{7!}=0.0595

P(X=8)=\frac{e^{-4} 4^8}{8!}=0.0298

P(4\leq X\leq 8)=0.1954+0.1563+ 0.1042+0.0595+0.0298=0.5452

c. Compute P(8≤ X).

P(X \geq 8) = 1-P(X

P(X \geq 8) = 1-P(X

d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?

The mean is 4 and the deviation is 2, so we want this probability

P(4\leq X \leq 6)=P(X=4)+P(X=5)+P(X=6)

P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954

P(X=5)=\frac{e^{-4} 4^5}{5!}=0.1563

P(X=6)=\frac{e^{-4} 4^6}{6!}=0.1042

P(4\leq X \leq 6)=0.1954+0.1563+0.1042=0.4559

4 0
3 years ago
The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior
SSSSS [86.1K]

Answer:

y = \frac{2}{z} - \frac{x}{z}

Step-by-step explanation:

Given

x + zy = 2

Required

Rewrite to show y-intercept

We have: x + zy = 2

Subtract x from both sides

zy = 2-x

Divide both sides by z

y = \frac{2}{z} - \frac{x}{z}

<em>The y intercet is: </em>\frac{2}{z}<em></em>

7 0
2 years ago
Other questions:
  • it takes 3 buckets of water to fill one third of a fish tank how many buckets are needed to fill whole tank
    6·2 answers
  • F(0)=2, f(2)=4, linear equation?
    5·2 answers
  • While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely
    14·1 answer
  • (n^(4))/(n^(4)) what does that equal?
    13·1 answer
  • 1 What is the value of the expression below?
    13·1 answer
  • Am eastern cotttentail rabbit and ferret weigh 7 lbs together. The ferret weighs 2 lbs more than the rabbit. Create a system of
    14·1 answer
  • What should be added to 66.778 get 78.2​
    15·1 answer
  • Help me I don't know this answer please
    15·1 answer
  • Can anyone help me on this please
    8·1 answer
  • Write the fractions 22/100 and 22/1000 as decimal how are the values of the digit 2 related in each of the decimals
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!