F(1)=7, f(n)=-4*f(n-1)+15

Answers

Answer 1

Answer: I put all the work in my attachment. f(n)=1 8/35

Answer 2

Answer:

Final answer:

The given problem is a type of recursive sequence in mathematics. We can find any term in the sequence by taking four times the negative of the previous term and adding 15. For example, the second term is -13, calculated from the given first term of 7 as -4*7+15.

Explanation:

The problem given states that F(1)=7, f(n)=-4*f(n-1)+15, which is a type of recursive sequence in mathematics. In this sequence, each term is defined as four times the negative of the previous term added to 15. For any term f(n), the previous term is f(n-1). Therefore, if we want to find the next term after F(1), which is f(2), we substitute n=2 into the equation, giving us: f(2) = -4*f(2-1)+15 = -4*F(1)+15 = -4*7+15 = -28+15 = -13. Continuing this calculating method allows us to find subsequent terms in the sequence.

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Answer:

Amanda looks to be right?

Find the distance between the pair of parallel lines, y = -2x+1 & y = -2x+16.

Answers

$Given \ the \ equations \ of \ two \ non-vertical \ parallel \ lines:\n\ny = mx+b_1\ny = mx+b_2\n\nthe \ distance \ between \ them \ can \ be \ expressed \ as : \n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) )$

$y = -2x+1\ny = -2x+16 \n\n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) ) =(| 1-16|)/( √( (-2)^2+1) ) =(| -15|)/( √( 4+1) ) =(15)/(√(5))\cdot (√(5))/(√(5))=\n \n\n=(15√(5))/(5)=3√(5)\approx 3\cdot 2.24 \approx 6.72$

Find the value of x in the equation 4x - 11 = 11.

Answers

Answer:

x = 5.5

Step-by-step explanation:

4x - 11 = 11

4x = 11 + 11

4x = 22

x = 22/4 = 5.5

Which of the following Platonic solids is also a pyramid? A. tetrahedron B. Hexahedron C. octahedron D. Icosahedron E. dodecahedron F. None of These

Answers

Tetrahedron is a Platonic solids which is also a pyramid, i.e. Option (A).

What is pyramid?

Pyramid is a three dimensional shape. Pyramid is a polyhedron formed by connecting a polygonal base and a point. A triangular pyramid is also called a tetrahedron.

A tetrahedron is known as a triangular pyramid in geometry. The tetrahedron consists of 4 triangular faces, 6 straight edges, and 4 vertex corners. It is a platonic solid which has a three-dimensional shape with all faces as triangles.

So,

As mentioned in the above definition "A triangular pyramid is also called a tetrahedron."

Hence, we can say that Tetrahedron is a Platonic solids which is also a pyramid, i.e. Option (A).

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tetrahedron - its the only one that has a base from which all edges meet at a single point.

Find the Value of 8 1/3

Answers

The value of $8^{(1)/(3) }$ is 2.

What are the laws of exponents?

The Laws of Exponents are:

$x^(m) .x^(n) =x^(m+n)$

$(x^(m) )/(x^(n) ) =x^(m-n)$

$(x^{^(m))n}=x^(mn)$

$(xy)^(m) =x^(m) y^(m)$

According to the given question.

We have a number in exponential form $8^{(1)/(3) }$

The above exponential number can be written as

$8^{(1)/(3) }$

$= 2^{3((1)/(3) )}$ (because $2^(3) = 8$ )

$= 2$ ( because $(3)(1)/(3) = 1$ )

Hence, the value of $8^{(1)/(3) }$ is 2.

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$8^{ (1)/(3) } = \sqrt[3]{8} = 2$

$8^{ (2)/(3) } = \sqrt[3]{8^2} = \sqrt[3]{64} = 4$

(4/3)d^2+5=2a). d= -2/3 or d= 2/3
b). d= -3/2 or d= 3/2
c). d= -36 or d=36
d). NO REAL SOLUTION

Answers

d. no real solution.

(4/3)d² + 5 = 2
(4/3)d² = 2 - 5
(4/3)d² = -3
d² = -3 / (4/3)
d² = -3 * 3/4
d² = -9 / 4
d = √-9 / √4
d = -3/2

Even though I got the value of d, when I substituted the value to the equation, the equation is not equal to 2.

I got 8 = 2. not equal. no real solution.

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