MATHEMATICS COLLEGE

A coral reef grows 0.14 m every week. How much does it grow in 14 weeks? Write your answer in millimeters.

Answers

Answer 1

Answer:

Answer:

0.14*14= 1.96

Step-by-step explanation:

Must multiply 0.14 times 14 for the answer.

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Answers

It’s c i think or can be d but my best bet is c !!

Simplify. 4i√-24
Please and thank you!

Answers

The simplification of the given function as complex number would be -8√6 .

What is simplification of an expression?

Simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We have been given a function as complex number that is 4i√-24

We can also write it as;

4i√24 √-1

= 4i√2³ 3 √-1

= 4i (2) √6 (i)

Then simplify;

= 4 2i² √6

= 8 (-1)√6

= -8 √6

Therefore, the simplification of the given function as complex number would be -8√6 .

Learn more about simplification;

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Answer:

$-8√(6)$

Step-by-step explanation:

$4i√(-24) \n\n=4i√(24) √(-1) \n\n=4i\sqrt{2^(3)*3 } √(-1) \n\n=4i(2)√(6) (i)\n\n=4*2i^(2) √(6) \n\n=8(-1)√(6) \n\n=-8√(6)$

Need answer now in 10 min!!!

Answers

Answer:

40 deg

Step-by-step explanation:

The vertical sides of the rectangle are parallel, so the triangle is a right triangle.

The triangle is a right triangle, so the acute angles are complementary.

The bottom right angle of the triangle measures 90 - 50 = 40 deg.

The bottom line and the top side of the rectangle are parallel, so corresponding angles are congruent. x and the 40-deg angle are corresponding angles, so they are congruent.

x = 40 deg.

S varies inversely as G. If S is 8 when G is 1.5, find S when G is 3. a) Write the variation. b) Find S when G is 3.

Answers

Step-by-step explanation:

$s \: = (k)/(g)$

$8 = (k)/(1.5)$

$k \: = 1.5 * 8 = 12$

$s = (12)/(g)$

$s = (12)/(3)$

s = 4

(1 point) The number of households with cable TV service in a certain community, N, begins at only 55 households and has seen a fivefold increase every 17 years. Give the constants a, b, and T so that N is represented by a function of the form N=abt/T, where t is the time in years since N was first measured.

Answers

Answer:

a=55

b=5

T=17

Step-by-step explanation:

The general form of the equation is:

$N(t)=ab^{(t)/(T)}$

For t = 0:

$N(0)=ab^{(0)/(T)}\nN(0) = a = 55\na=55$

Since there has been a fivefold increase after 17 years, at t = 17, N(17) = 55*5

$N(17)=55b^{(17)/(T)}\n55*5 = 55b^{(17)/(T)}\nb^{(17)/(T)} = 5$

If at every 17*n years there in an increase of 5^n, one can deduct that the values for T and b are respectively 17 and 5:

$b^{(t)/(T)}= 5^{(17n)/(17)}$

Therefore, the function that represents N(t) is:

$N(t)=55*5^{(t)/(17)}$

The height of a cylinder is decreasing at a constant rate of 1 centimeters per minute, and the volume is decreasing at a rate of 2341 cubic centimeters per minute. At the instant when the height of the cylinder is 1010 centimeters and the volume is 577 cubic centimeters, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V=pi r^2 h. Round your answer to three decimal places.