MATHEMATICS HIGH SCHOOL

The first term of an arithmetic sequence is 4 and the fifth term is 16. What is the nth term of the sequence?A.
4n
B.
3n + 1
C.
5n – 1
D.
4n + 1

Answers

Answer 1
Answer: aruthmetic
an=a1+d(n-1)
a1=4
5th is 16
a5=4+d(5-1)=16
16=4+d(4)
minus 4
12=d(4)
divide 4
3=d

an=4+3(n-1)
an=4+3n-3
an=4-3+3n
an=1+3n

B is ansres
Answer 2
Answer: If the 5th term is stated, all you need to do is plug in 5 for the n value, as it represents the 5th term. The only equation that holds true for the 5th terms being 16 is B. 3n+1
1st term = 3(1)+1 = 4
2nd term = 3(2) +1 = 7
3rd term = 3(3) +1 = 10
4th term = 3(4) +1 = 13
5th term = 3(5)+1 = 16

Correct answer is B. 3n+1

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Is the answer a, b, c, or d
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a. Find the value of each variable to the nearest tenth. B. Find the perimeter of the triangle to the nearest tenth. 1.A = 30.0, c = 36.6, perimeter = 87.6 2. a = 17.2, c = 36.6, perimeter = 74.8 3. a = 36.6, c = 17.2, perimeter = 74.8 4. a = 36.6, c = 30.0, perimeter = 87.6
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If the volume for 3-D polyhedra A is 200 cm3 and the volume for 3-D polyhedral B is 800 cm3, how many times bigger is the volume of pyramid B than pyramid A? A. 0.4% B. 4% C. 40% D. 400%

Answers

Answer:

400%

Step-by-step explanation:

Given :

The volume for 3-D polyhedral A is 200 cubic cm.

The volume for 3-D polyhedral B is 800 cubic cm.

To Find: how many times bigger is the volume of pyramid B than pyramid A?

Solution:

Since we are supposed to find how many times bigger is the volume of pyramid B than pyramid A.

⇒\frac{\text{Volume of Polyhedral B}}{\text{Volume of Polyhedral A}} * 100

⇒(800)/(200) * 100

⇒4 * 100

⇒400\%

Thus Option D is correct.

Hence the volume of pyramid B is 400% times bigger than pyramid A.
You can use the volume of pyramid B divided by volume of pyramid A and multiply 100%. That is 800/200*100%=400%. So the answer is D. 400%.

Solve this question? -7x-18=3

Answers

-7x - 18 = 3
-7x = 21
x= -3
the answer to the equation is 3

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = 4x5 – 3x
1 root
2 roots
4 roots
5 roots

Answers

Answer:

Option 4 is correct that is according to fundamental theroem of algebra the given polynomial function will have 5 roots

Step-by-step explanation:

The fundamental theorem of algebra says that the polynomial will have  the number of roots  equal to the degree of the polynomial.

Degree is the highest power of polynomial.

Here we have given the polynomial 4x^5-3x where degree is 5.

Hence, the given polynomial will have 5 roots.

Therefore, option 4 is correct that is 5 roots
Hello,

I say one more time in C there are 5 roots.
4x^5-3x=x(4x^4-3)\n =x(2x^2+ √(3) )(2x^2- √(3) )\n =x( √(2)x- \sqrt[4]{3} ) ( √(2)x+ \sqrt[4]{3} ) ( √(2)x- i\sqrt[4]{3} ) ( √(2)x+i \sqrt[4]{3} )

Find the constant of variation k for the direct variation 2x +6y = 0

Answers

A relationship between two variables in which one is a constant multiple of the other. The constant here is also called the constant of variation. In order to obtain this value, we manipulate the equation by isolating the variables. We do as follows:

2x +6y = 0
y = -x/3

Therefore, the constant of variation is -1/3. Hope this answers the question. Have a nice day.

A ladder leans against the side of a house. The angle of elevation of the ladder is 66 degrees when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

Answer:

The length of the ladder  = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 66° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

  From right angle triangle

      cos C = (CB)/(CA)

     cos 66 = (x)/(16)

      x = 16 × cos 66°

     x = 16 × 0.4067

     x = 6.5077

   x = 6.5 ft

The length of the ladder = 6.5 ft

Whats the equation of a circle centered at (7,1) that passes through (-2,10)

Answers

The line from (7, 1) to (-2 10) is a radius of the circle.

Its length is the square root of [ (-2 - 7)² + (10 - 1)² ] =  √(81 + 81) = √162

The equation of the circle is: (x- 7)² + (y - 1)² = 162 
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