Solve for a: a2-8a+12 which is the correct a.-2,-6 b.2,6. C.-3,-4 or d.3,4 for me is Ccc help pleas

Answers

Answer 1

Answer: $a^2-8a+12 =0 \n \n(a-2)(a-6)=0 \n \na-2=0 \ \ or \ \ a-6 =0 \n \na=2 \ \ or \ \ a=6 \n \nAnswer : \ b. \ \ 2,6$

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The area of a rectangle is 56.96 m² If the length is 16, what is the width and perimeter?
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Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?Monthly Payment per $1,000 of PrincipalRate 1 Year 2 Years 3 Years 4 Years 5 Years6.5% $86.30 $44.55 $30.65 $23.71 $19.577.0% $86.53 $44.77 $30.88 $23.95 $19.807.5% $86.76 $45.00 $31.11 $24.18 $20.048.0% $86.99 $45.23 $31.34 $24.41 $20.288.5% $87.22 $45.46 $24.65 $24.65 $20.529.0% $87.45 $45.68 $31.80 $24.89 $20.76A. $355.65B. $975.00C. $1,682.40D. $2,071.20E. $17,071.20

What is the area of the whole rectangle

Answers

Answer:

Step-by-step explanation:

it is divided into 4 rectangles

first rectangle ( 100 cm ^2)

area = l × b

= 10 × 10 = 100 cm^2

second rectangle ( 60 cm^2)

area = l × b

= 6 × 10 = 60 cm^2

third rectangle ( 20 cm^2)

area = l × b

= 2 × 10 = 20 cm^2

fourth rectangle ( 12 cm^2)

area = l × b

= 2 × 6 = 12 cm^2

so total area of the rectangle = 100 + 60 + 20 + 12 cm^2

= 192 cm^2

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The probabilities of a test are represented by I for infected; U, uninfected; D, infection detected; and N, no infection detected. What is the symbolic way to represent the probability of a true positive? P(I⋂D) P(I⋂D)P(D) P(U⋂N)P(N) P(I⋃D)

Answers

Answer:

The symbolic way to represent the probability of a true positive is:

P(I∩D)

Step-by-step explanation:

The representation is given as follows:

I for infected; U, uninfected; D, infection detected; and N, no infection detected.

We are asked to find which expression represents the probability of a true positive.

i.e we are asked to find the probability that a person who is infected is also detected.

Let P denote the probability of an event.

Hence, the expression is:

P(I∩D)

$\mathbb P(I\cap D)$

PLEASE HELP ME OUT IF YOU CAN

Answers

Answer:

Step-by-step explanation:

Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16, and the cost of the order was $52. What was the price of each cupcake?

Answers

Another way to think about this is... The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).

52=total
16= total price of layer cake

52
-16
------
36

36\24=1.50 each

The nth term of a series is represented by an=2^n/5^n+1 ⋅n . George correctly applies the ratio test to determine whether the series converges or diverges. Which statement reflects George's conclusion? From the ratio test, r = 0.4. The series diverges.

From the ratio test, r = 0.4. The series converges.

From the ratio test, r = 4. The series converges.

From the ratio test, r = 4. The series diverges.

Answers

Answer: From the ratio test, r = 0.4. The series converges.

The given term is: $a_(n)=(2^(n))/(5^(\left(n+1\right)))\cdot n$

So the next term is = $a_(n+1)=(2^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot\left(n+1\right)$

The ratio test is :

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|(2^(\left(n+1\right)))/(2^(n))\cdot(5^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot(\left(n+1\right))/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|2\cdot(1)/(5)\cdot(\left(n+1\right))/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=(2)/(5)lim_(n\to\infty)\left|1+(1)/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=(2)/(5)\left(1+0\right)$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=0.4$

Since 0.4 < 1 so the series converges.

Learn more: brainly.com/question/1214333

Answer: Choice B) r = 0.4; series converges

========================================

Explanation:

Check out the attached image below to see the steps on how I computed r.

The value you should get is r = 0.4

Since r is less than 1, the series converges.

---------

Extra info:

If r > 1, then the series would diverge.

If r = 1, then the series may diverge, conditionally converge, or absolutely converge. Another test would be needed if you get r = 1.

12.the square root of the negative of negative 9 squared = ?(Note: i = the square root of negative 1 )

Answers

The squareroot of a negative number is notdefined in the realm of real numbers.

We have,

The squareroot of a negative number is not defined in the realm of real numbers.

The square root function is only defined for non-negative real numbers.

In this case, the expression "negative 9 squared" means the square of negative 9, which is positive 81.

However, taking the square root of the negative of positive 81 would involve imaginary numbers.

If we consider the square root of -81 in the realm of complex numbers, it can be represented as ±9i, where i is the imaginary unit (√-1).

Thus,

The squareroot of a negative number is not defined in the realm of real numbers.

Learn more about imaginarynumbers here:

brainly.com/question/6748860

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Since the negative 9 is squared, you would get 81. So you would have the square root of a negative 81. Therefore you would have the square root of negative one (i) times the square root of 81 (9). So, the answer is 9i.

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