A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40 cm/s. Find the rate at which the area within the circle is increasing after each of the following.after 1 s = after 3 s = after 7 s =

Answers

Answer 1

Answer: given :dr/dt = 40 cm/sA = πr^2dA/dt = 2π r dr/dtcase 1:when s = 1, r = 40dA/dt = 2π(40)(40) = 3200π cm^2/seccase 2:when s = 3, r = 3(4) = 120 cmdA/dt = 2π(120)(40) = 9600π cm^2/seccase 3:... your turn .....

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Solve. Q - 7 5/6 = 6 1/2

Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?A. 1/(cscx + sinx)
B. sinx + 1
C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))

Answers

C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))

Answer:

multiply the denominator by its conjugate (1-sinx)/(1-sinx)

Step-by-step explanation:

[sinx (1-sinx)] / [(1+sinx)(1-sinx)]

Which is a long-term consequence of making late payments on your bills? It will be harder to secure a new loan at a low rate. The balance in your checking account will be negative. There will be a late fee. The number of payments will increase.

Answers

I believe the correct answer from the choices listed above is the first option. A long term consequence of making late payments on your bills would be that it will be harder to secure a new loan at a low rate because of the record you have.
Hope this answers the question. Have a nice day.

Answer:

Step-by-step explanation:

Please solve!! 4 (x-6) + 10 = 6

Answers

$\huge\text{Hey there!}$

$\textsf{4(x - 6) + 10 = 6}$

$\textsf{Distribute}$

$\textsf{4(x) + 4(-6) + 10 = 6}$

$\textsf{4x - 24 + 10 = 6}$

$\textsf{COMBINE the LIKE TERMS}$

$\textsf{(4x) + (-24 + 10) = 6}$

$\textsf{-24 + 10 = -14}$

$\textsf{4x - 14 = 6}$

$\textsf{ADD 14 from BOTH SIDES}$

$\textsf{4x - 14 + 14 = 6 + 14}$

$\textsf{CANCEL out: -14 + 14 because that gives you 0}$

$\textsf{KEEP: 6 + 14 because that helps us solve for x}$

$\underline{\textsf{6 + 14 = 20}}$

$\textsf{New equation: 4x = 20}$

$\textsf{DIVIDE 4 from BOTH SIDES}$

$\mathsf{(4x)/(4)=(20)/(4)}$

$\textsf{CANCEL out}$ : $\mathsf{(4)/(4)}$ $\textsf{because that gives you 1}$

$\textsf{KEEP}$ : $\mathsf{(20)/(4)}$ $\textsf{because that solves and gives you x}$

$\mathsf{TEMPORARY\ EQUATION: x = (20)/(4)}$

$\mathsf{(20)/(5)=5}\n\n\n\mathsf{20/4 = 5}\n\n\n\textsf{\bf x = 5}\large\checkmark$

$\boxed{\boxed{\large\textsf{Answer: \underline{\bf x = 5}}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

4(x-6)+10=6. 4(x-6)=-4. x-6=-1. x=5

See image for question.

Answers

Answer:

See below

Step-by-step explanation:

P(A) = 3/8
P(B) = 2/7

(i)

P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28

(ii)

P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56

(iii)

P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56

Another way:

P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56

Outcomes with two fair coins: TT, TH, HT, HH

Outcomes with normal dice: 1 to 6

P(odd number) = 3/6 = 1/2

P(two heads and an even number) = 1/4*3/6 = 1/8

P(head and tail) = 1/2
P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)
P(head, tail and prime) = 1/2*1/2 = 1/4

P(two tails and odd number) = 1/4*3/6 = 1/8

PLEASEEE ITS EASY ALGEBRA 1 ):

Answers

Answer:

6, 7, and 8

Step-by-step explanation:

2x/3 + 7 > 11

Subtract 7 from both sides

2x/3 > 4

Multiply both sides by 3

2x > 12

Divide both sides by 2

x > 6

6, 7, and 8 are the ones that work

A right rectangular prism has a length of 5 cm, a width of 8 cm, and a height of 4 cm.What is the volume of the prism?

Enter your answer in the box.
I believe it is 160.

Answers

The formula for volume of a rectangular prism is length x height x width. Plug in the given information.

5 * 4 * 8

Now multiply:

5 * 4 = 20
20 * 8 = 160

Your answer of 160 was correct :) Good job

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