What is the standard form of the equation for this circle?
(x – 4)2 + (y + 5)2 = 5.5
(x – 4)2 + (y + 5)2 = 30.25
(x + 4)2 + (y – 5)2 = 30.25
(x + 4)2 + (y + 5)2 = 11
(x + 4)2 + (y – 5)2 = 5.5

Answers

Answer 1

Answer:

Step-by-step explanation:

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Henrietta has $120 to buy a new bicycle. She finds the bike that she wants to buy on sale for 20% off the regular price of $150. If there is 6% sales tax, which of the following best describes the amount of money Henrietta has with regards to buying the bike. a. Henrietta has enough before the tax, but not enough after the tax. b. Henrietta has enough money even after the tax. c. Henrietta does not have enough money even before the tax. d. There is not enough information given.

What is the sum of the infinite geometric series?.

1/2+1/4+1/8+1/16+...

Answers

Answer:

The sum of the given geometric series is, 1

Step-by-step explanation:

Geometric sequence states that a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio (r).

The sum of the infinite terms of a geometric series is given by:

$S_\infty = (a)/(1-r)$ ......[1] ;where $0<r<1$

Given the series: $(1)/(2)+(1)/(4)+(1)/(8)+(1)/(16)+.....$

Since, this series is geometric series with constant term(r) = $(1)/(2)$

Since,

$((1)/(4))/((1)/(2) ) =(2)/(4) = (1)/(2)$ ,

$((1)/(8))/((1)/(4)) =(4)/(8) = (1)/(2)$ and so on....

Here, first term(a) = $(1)/(2)$

Substitute the values of a and r in [1] we get;

$S_\infty = ((1)/(2))/(1-(1)/(2))$ where r = $(1)/(2)< 1$

$S_\infty = ((1)/(2))/((2-1)/(2))$

$S_\infty = ((1)/(2))/((1)/(2))$

Simplify:

$S_\infty = 1$

Therefore, the sum of the infinite geometric series is, 1

$1/2+1/4+1/8+1/16+...=\sum\limits_(n=1)^\infty ((1)/(2))^n = ((1)/(2))/(1-(1)/(2))=1$

We can see that consecutive fractions are made from 1/2 to consecutive powers. Because we begin with 1/2, n=1
We will infinitely add fractions , hence Lemniscate sign.

In other words you cannot find a number which needs to be added to the geometric series to get "1", therefore the answer is 1. I remember the teacher explaining it this way :)

Jut for every answer choose negative or poitive1.(–21.9) • (–6) • (–1.1) • (–0.47)
a. negative b. positive

2. (–39) • (0.5) • (–0.92) • (6.1) • (–12
a. negative b. positive 3.
(0.01) • (–43) • (7.2) • (–86)
a. negative b. positive 4.(–3.5) • (–16) • (7) • (–0.4) • (5.8)
a. negative b. positive

Answers

Negative times a Negative equals a Positive
Positive times a Positive equals a Positive
Positive times a Negative equals a Negative
Negative times a Positive equals a Negative

1.

Negative * Negative * Negative * Negative

Positive * Positive

Positive

2

Negative * Positive * Negative * Positive * Negative

Negative * Negative * Negative

Positive * Negative

Negative

(0.01) • (–43) • (7.2) • (–86)

Positive * Negative * Positive * Negative

Negative * Negative

Positive

(–3.5) • (–16) • (7) • (–0.4) • (5.8)

Negative * Negative * Positive * Negative * Positive

Positive * Negative * Positive

Negative

-21.9 x -6 x -1.1 x -0.47 = +67.9338

-39 x 0.5 x -0.92 x 6.1 x -12 = -1313.208

0.01 x -43 x 7.2 x -86 = +266.25600

-3.5 x -16 x 7 x -0.4 x 5.8 = -909.44

Find the GCF of the given polynomial.

8x^6y^5 - 3x^8y^3

Answers

8x^6y^5 - 3x^8y^3
x^6y^3(8y^2) - x^6y^3(3x^2)
x^6y^3(8y^2 - 3x^2)

Answer:

x^6y^3

Step-by-step explanation:

saw this on an assignment

I can't figure this equation out, help!!!!!!!!!!!!!!!!!!!!!!!***The answer is 1 and -0.5, but I just can't figure out how to work it out.***

Answers

$(4)/(2x-1)-(2)/(x)=2;\ D:2x-1\neq0\ \wedge\ x\neq0\Rightarrow x\neq(1)/(2)\ \wedge\ x\neq0\n\n(4)/(2x-1)=2+(2)/(x)\n\n(4)/(2x-1)=(2x)/(x)+(2)/(x)\n\n(4)/(2x-1)=(2x+2)/(x)\n\ncross\ multiply\n\n(2x-1)(2x+2)=4x\n4x^2+4x-2x-2-4x=0\n4x^2-2x-2=0\n4x^2-4x+2x-2=0$

$4x(x-1)+2(x-1)=0\n(x-1)(4x+2)=0\iff x-1=0\ \vee\ 4x+2=0\nx=1\in D\ \vee\ x=-(1)/(2)\in D\n\nSolutions:x=-(1)/(2)\ or\ x=1.$

Convert 0.27¯¯¯¯¯ to a rational number in simplest form.(1 point) responses 127 start fraction 1 over 27 end fraction 2799 start fraction 27 over 99 end fraction 27100 start fraction 27 over 100 end fraction 311

Answers

Answer:

.272727.... = .27/(1 - .01) = .27/.99 = 27/99 = 3/11

Final answer:

To convert a repeating decimal to a rational number in simplest form, multiply the decimal by a power of 10 to eliminate the repeating part. Then, divide the result by the appropriate power of 10. For 0.27¯¯¯¯¯, the simplest form is 27/100.

Explanation:

To convert a repeating decimal to a rational number in simplest form, we can use the algebraic technique. Let x be the repeating decimal. Multiply x by a power of 10 so that all the repeating digits are to the left of the decimal point. Subtract x from the result to eliminate the repeating part. Finally, divide the result by the appropriate power of 10 to get the rational number in simplest form.

In this case, 0.27¯¯¯¯¯ is equal to 27¯¯¯¯¯/100¯¯¯¯¯. Now, let's simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 1. The simplified form of 27¯¯¯¯¯/100¯¯¯¯¯ is 27/100.

Learn more about Converting repeating decimals to rational numbers here:

brainly.com/question/20104287

#SPJ2

Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!

Answers

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16 = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x 2-4 =x

6 =x -2 =x

since time cannot be negative

x=6

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Share 60 in the ratio 6:4

What is the standard form of the equation for this circle?(x – 4)2 + (y + 5)2 = 5.5(x – 4)2 + (y + 5)2 = 30.25(x + 4)2 + (y – 5)2 = 30.25(x + 4)2 + (y + 5)2 = 11(x + 4)2 + (y – 5)2 = 5.5

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Final answer:

Explanation:

Learn more about Converting repeating decimals to rational numbers here:

Answers

What is the standard form of the equation for this circle?
(x – 4)2 + (y + 5)2 = 5.5
(x – 4)2 + (y + 5)2 = 30.25
(x + 4)2 + (y – 5)2 = 30.25
(x + 4)2 + (y + 5)2 = 11
(x + 4)2 + (y – 5)2 = 5.5