Please, look at the photo and give the ansver.

Answers

Answer 1

Answer: $\int \limits_1^(\infty)(\ln x)/(x^2)\,dx=\lim_(t\to\infty)\int \limits_1^t (\ln x)/(x^2)\n\n \int (\ln x)/(x^2)\,dx=(*)\n u=\ln x,du=(1)/(x) \n dv=(1)/(x^2),v=-(1)/(x)\n (*)=\ln x\cdot(-(1)/(x))-\int ((1)/(x)\cdot(-(1)/(x)))\, dx=\n -(\ln x)/(x)+\int(1)/(x^2)\, dx=\n -(\ln x)/(x)-(1)/(x)+C\n\n \lim_(t\to\infty)\int \limits_1^t (\ln x)/(x^2)=\lim_(t\to \infty)\left[-(\ln x)/(x)-(1)/(x) \right]_1^t=$
$\lim_(t\to \infty)\left(-(\ln t)/(t)-(1)/(t)-\left(-(\ln 1)/(1)-(1)/(1)\right)\right)=\n \lim_(t\to \infty)\left(-((\ln t)')/(t')\right)-0-(-1)=\n \lim_(t\to \infty)\left(-((1)/(t))/(1)\right)+1=\n \lim_(t\to \infty)\left(-(1)/(t)\right)+1=\n 0+1=\n 1$

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What is the slope of the line that contains the points (8, 3) and (8, 7)?a. 4
b. -1/4
c. 0
d. The slope is undefined.

Answers

The slope can be obtained by (y2 - y1) / (x2 - x1). In this example, using the two points, we have
(7 - 3) / (8 - 8 ) = 4 / 0.
Division by 0 is undefined.
So, the answer is (d) The slope is undefined.

If f(x)=10x+15, find f(x) when x=4

Answers

Answer:

Step-by-step explanation:

Replace the x with 4

f(4) = 10(4) + 15

Multiply

f(4) = 40 + 15

Then Add

f(4) = 55

Answer

Hope this helped :)

An auction house sells raffle tickets for $1. There are 10 prizes, each worth $10. If 100 raffle tickets are sold, what is the expected value of each ticket?$0
$1
-$1
$10

Answers

Answer: $1

Step-by-step explanation: (10 x 10) / 100 = 1

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.a. how many bowls could you glaze
b. how many plates can you glaze
c. how much glaze will be left over?

Answers

Part a) how many bowls could you glaze

we know that

You have $6$ pints of glaze. It takes $7/8$ of a pint to glaze a bowl

To find the number of bowls divide $6$ by $7/8$

$(6)/((7/8))} =(48)/(7) =6.86\ bowls$

therefore

the answer part a) is equal to

$6\ bowls$

Part b) how many plates can you glaze

You have $6$ pints of glaze. It takes $9/16$ of a pint to glaze a plate

To find the number of plates divide $6$ by $9/16$

$(6)/((9/16))} =(96)/(9) =10.67\ plates$

therefore

the answer part b) is equal to

$10\ plates$

Part c) how much glaze will be left over?

In the Part a)

$6-6 *(7)/(8) =6-(42)/(8) =(48)/(8) -(42)/(8)= (3)/(4)\ pint\ of \ glaze\ left$

In the Part b)

$6-10 *(9)/(16) =6-(45)/(8) =(48)/(8) -(45)/(8)= (3)/(8)\ pint\ of \ glaze\ left$

A. 6 = 48/8, now / (7/8) 6 bowlsB. 6 = 96/16, now / (9/16) 10 platesC. After 6 bowls you would have 6/8 glaze left, After 10 plates you would have 6/16 glaze left

What is the product of a positive number and a negative number? positive
negative
It depends on the higher number.
There is not enough information

Answers

negative

basically
negative means change sign
positive means do nothing

change sign times do nothing=change sign=negative

basically
(+)(+)=(+)
(-)(-)=(-)
(+)(-)=(-)
(-)(+)=(-)
and

(+)/(+)=(+)
(-)/(-)=(-)
(+)/(-)=(-)
(-)/(+)=(-)

answer is negative

You buy tealight candles and mints as party favors for a baby shower. The tealight candles come in packs of 12 for $3.50. The mints come in packs of 50 for$6.25. What is the least amount of money you can spend to buy the same number of candles and mints?

Answers

Answer:

$62.5

150(number of candles and mints) can be evenly divided by both 12 and 50,