1)What are the first five terms of the sequence given by the formula an=4n+1 ? a. 1,5 ,9,13,17 b. 9,13,17,21,25 c. 5,9,13,17,21 d. 4,8,12,16,20 2)Write a recursive definition for the sequence 8,6,4,2 ... a. a1=8, an=an-1-2 b. a1=2, an=an-1+6 c. a1=8,an=an-1+2 d. a1=2, an=an-1+8

Answers

Answer 1

Answer: Hello,

1)
I don't if in USA, we count beginning with 0 or beginning with 1

if you count 0,1,2,3,4,5,6... a(0) being the FIRST term the answer is A
if you count 1,2,3,4,5... a(1) being the first term (in this case how do you call a(0) the zeroth term?) the answer is C

In Europ, the first term is a(0).

2)

a(1)=8 Is it the FIRST term?
a(n)=a(n-1)-2
Answer A

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If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?

Answers

Answer:

The residual value is -0.75

Step-by-step explanation:

we know that

The residual value is the observed value minus the predicted value.

RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]

where

Predicted value.--> the predicted value given the current regression equation

Observed value. --> The observed value for the dependent variable.

in this problem

we have the point (1,4)

The observed value is 4

Find the predicted value for x=1

$y =1.5(1)+3.25=4.75$

predicted value is 4.75

RESIDUAL VALUE=(4-4.75)=-0.75

Answer:

-0.75

Step-by-step explanation:

I = prt (simple interest).
Find the value of I given that p=300, r=0.14, and t=2

Answers

Hi there, Convert r percent to r a decimal, r=R/100=0.14%/100=0.0014 per year. Now, we have to solve using a equation, the equation is A=300(1+(0.0014*2))=300.84, Therefore, the answer is $300.84

300x0.14=0.42
0.42x2=0.84

Find the solution set of the inequality: -3x + 8 < 15−3x+8<15minus, 3, x, plus, 8, is less than, 15 x

Answers

Answer:

The solution to the inequality is;

x > -7/3

Step-by-step explanation:

We want to find the solution to the inequality;

-3x + 8 < 15

We can have this as;

-3x < 15-8

-3x < 7

x > -7/3

Answer:

x>-7/3

Step-by-step explanation:

What is the simplest form of the product?
SqRt 63x^5y^3 • sqRt 14xy8

Answers

$√(63x^5y^3) \cdot √( 14xy^8 )=\n \n=√(63x^5y^3\cdot 14xy^8 )=\n \n\sqrt{882x^(5+1) y^3 y^8 } =\n \n=√(441 \cdot 2 \cdot x^6y^3y^8)=\n \n=√(441) \cdot √(y^8)\cdot \sqrt{x^(6) }\cdot √(2y^3) = \n \n=21 \cdot( y ^(8 ))^(1)/(2)\cdot ( x^6)^{(1)/(2)}*\sqrt{2y^(3)}\n \n=21 \cdot x^3 \cdot y^4 \cdot √(2y^3)$

$√(63x^5y^3)\cdot√(14xy^8)=√(63x^5y^3\cdot14xy^8)=\sqrt{63\cdot14\cdot x^(5+1)y^(3+8)}\n\n=\sqrt{9\cdot7\cdot7\cdot2\cdot x^6y^(11)}=\sqrt9\cdot√(7^2)\cdot√(2)\cdot√(x^6)\cdot\sqrt{y^(11)}\n\n=3\cdot7\cdot\sqrt2\cdot√((x^3)^2)\cdot\sqrt{y^(10)\cdot y}=21\sqrt2\cdot x^3\cdot√((y^5)^2)\cdot√(y)\n\n=21x^3y^5√(2y)$

Which is the benefit of investing? A. not having to work to earn money. B. living comfortably after you retire. C. spending lavishly now and living off investments later.

Answers

Investment can be defined as the part of money that a person invests or allocates in market or shares or any stocks or bonds, so as to yield profits in the future. One has to invest money wisely and by thoroughly studying the market trends and the person must know the highs and lows of the market.

B. living comfortably after you retire. This is the only answer as a good investment today can yield a great price tomorrow. So, a person can live comfortably with that money once he retires.

living comfortably after you retire.

The combined land area of the countries A and B is 157,973 square kilometers. Country A is larger by 773 square kilometers. Determine the land area of each country.

Answers

The combined land areas of country A & B are 157,973 sq km. COuntry A is larger by 773 sq kn. The land area of Country A is 79,373, the land area of Country B is 78,600.

A + B = 157,973
A = B + 773

now its just a matter of subbing
(B + 773) + B = 157,973
2B + 773 = 157,973
2B = 157,973 - 773
2B = 157,200
B = 157,200/2
B = 78,600 <=== land area for country B

A = B + 773
A = 78,600 + 773
A = 79,373 <== land area for country A

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