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
SCORPION-xisa [38]
3 years ago
15

Expand the following algebraic expression (n + 5) (n + 3)

Mathematics
2 answers:
marshall27 [118]3 years ago
6 0

{n}^{2}  + 30n + 15
Mamont248 [21]3 years ago
5 0

Answer:

n²+8n+15

Step-by-step explanation:

Given expression is (n+5)(n+3).

We have to expand it.

(n+5)(n+3)

Each of the two terms in first binomial is multiplied by the second binomial.

n(n+3)+5(n+3)

Each of the two terms in first binomial is multiplied by the each term of second binomial.

n(n)+n(3)+5(n)+5(3)

simplify

n²+3n+5n+15

add like terms

n²+n(3+5)+15

n²+n(8)+15

n²+8n+15 which is the answer.


You might be interested in
The area of triangle scarf is 21 square inches.
Scrat [10]

the base of the scarf is 7

Step-by-step explanation:

B=2(A/H)

B=2×21÷6=7

2×21=42

42÷6=7

5 0
3 years ago
The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05 independently of every other amplifier. C
snow_lady [41]

Answer:

0.980

Step-by-step explanation:

The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05

So, probability of success = 0.05

Probability of failure = 1-0.05=0.95

There are 12 amplifiers

We are supposed to find  the probability that at most two will exceed 2dB.

We will use binomial distribution

Formula : P(X=r)=^nC_r p^r q ^{n-r}

p = 0.05

q = 0.95

n = 12

We are supposed to find the probability that at most two will exceed 2dB.

So, P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)

P(X\leq 2)=^{12}C_0 P(0.05)^0 (0.95)^{12-0}+^{12}C_1 P(0.05)^1(0.95)^{12-1}+^{12}C_2 P(0.05)^2 (0.95)^{12-2}

P(X\leq 2)=\frac{12!}{0!(12-0)!} (0.05)^0 (0.95)^{12-0}+\frac{12!}{1!(12-1)!}(0.05)^1(0.95)^{12-1}+\frac{12!}{2!(12-2)!} (0.05)^2 (0.95)^{12-2}

P(X\leq 2)=0.980

Hence the probability that at most two will exceed 2dB is 0.980

7 0
3 years ago
TUI Reiru makes necklaces like the one in the
marta [7]

Answer:

wheres the picture

Step-by-step explanation:

4 0
3 years ago
Multiply or Divide<br><br> (i need this for school tomorrow)
lions [1.4K]

Answer:

Ok so here are the simple rules of doing it (very easy) cause I’m not doing it all so . when multiplying a power with The same base keep the base but add the exponents. Dividing, keep the base (if their the same if not then its already simplified same with multiplication) but SUBTRACT the exponents. Also keep the parenthesis if it’s a negative number base.

I’ll do a few.

11) a^10.           11b) 5^4

12) (-2)^2.        

13) 10^2.          13b) s^6

14) -4s^5(t^6) <- [Im not sure of this one)

15) x^3(y^3)

7 0
3 years ago
According to the equation, which choice represents the fixed cost of
kodGreya [7K]

Answer:

A) 3500

Step-by-step explanation:

C(x) = 0.75x + 3500

C(x) = Total cost

0.75x = variable cost

3,500 = fixed cost

The fixed cost of the function = 3,500

Variable cost refers to cost of production that changes during production such as cost of raw material, wages of workers etc.

Fixed cost are cost of production that remains the same (does not change) with the production process such as building, machineries etc

Total cost is the addition of all cost of production, that is, the addition of fixed cost and variable cost

7 0
3 years ago
Other questions:
  • What is the area of a general quadrilateral
    6·2 answers
  • The tires on your bicycle have a radius of 14 inches. How many rotations does each tire make when you travel 900 feet? Round you
    14·1 answer
  • 45. A 30°-60°-90° triangle has a hyp<br> 30 meters. Find the length of its
    14·1 answer
  • a class rolled number cubes. their results are shown in the table. what is rhe experimental probability of rolling the number 2
    9·1 answer
  • Based on the construction below, which of the following statements is NOT true?
    15·1 answer
  • Evaluate 2.43+51.62+124.77
    11·1 answer
  • Find the slope and y-intercept for the table.<br><br><br><br> slope: <br><br> y-intercept:
    8·1 answer
  • Order the fractions from least to greatest.<br> 6 3/4, 6 1/2, 6 5/6, 6 3/8
    10·1 answer
  • Lee says 20% is more than 70% of 70% of 20. Is lee correct?
    10·1 answer
  • The Marcos family consists of 2 adults and 4 children. They spent a total of $40 on circus tickets. Let x represent the cost of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!