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Nezavi [6.7K]
3 years ago
5

Please help urgent!!

Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Answer:

<em>The area of the rectangle is</em> A=12b^6+6b^3-18b^2

Step-by-step explanation:

<u>Area of a rectangle</u>

A rectangle of height H and width W has an area of:

A=H*W

The rectangle shown in the figure has a height of:

H=3b^2

And a width of

W=4b^4+2b-6

The area is

A=(3b^2)(4b^4+2b-6)

Operating:

A=(3b^2)*4b^4+(3b^2)*2b-(3b^2)6

A=12b^6+6b^3-18b^2

The area of the rectangle is A=12b^6+6b^3-18b^2

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You invest $1,300 in an account that has an annual interest rate of 5%, compounded annually. How much money will be in the accou
KIM [24]

Answer:

A=Pe^rt

P= princible (1300)

e= (2.71828)- function on a graphing calculator

r = interest rate (.05 or 5%)

t = time (10 years)  

A = 1300e^.05(10)

A = 1300e^.5

A = 2143.337652

A = 2143

7 0
3 years ago
Read 2 more answers
Calculate the area of this triangle 18cm 11cm 14cm
seraphim [82]

Answer:

  about 77 cm^2

Step-by-step explanation:

From 3 sides, the area of a triangle is conveniently calculated using Heron's formula:

  A = √(s(s -a)(s -b)(s -c))

where s is the semi-perimeter: s = (a+b+c)/2.

For the given values of a, b, c, we have ...

  s = (a+b+c)/2 = (18 +11 +14)/2 = 21.5

  A = √(21.5·3.5·10.5·7.5) = √5925.9375

  A ≈ 76.9801 . . . cm^2

The area is about 77 square centimeters.

5 0
3 years ago
Read 2 more answers
Find the first three terms of the sequence with nth term 3n-2​
kykrilka [37]

Answer:

To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.

so the three terms a

 3(1)-2=1

3(2)-2=6-2=4

3(3)-2=9-2=7

As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16

so 16 is the tenth term

Hope this helped!

7 0
3 years ago
A probability experiment is conducted in which the sample space of the experiment is upper s equals startset 4 comma 5 comma 6 c
olchik [2.2K]
The correct question statement is:

A probability experiment is conducted in which the sample space of the experiment is S = {4,5,6,7,8,9,10,11,12,13,14,15}. Let event E={7,8,9,10,11,12,13,14,15}. Assume each outcome is equally likely. List the outcomes in E^{c}. Find P(E^{c}).

Solution:

Part 1:

E^{c} means compliment of the set E. A compliment of a set can be obtained by finding the difference of the set from the universal set. The universal set is the set which contains all the possible outcomes of the events which is S in this case.

So, compliment of E will be equal to S - E. S - E will result in all those elements of S which are not present in E. So, we can write:

E^{c}=S-E \\  \\ &#10;E^{c}=(4,5,6,7,8,9,10,11,12,13,14,15)-(7,8,9,10,11,12,13,14,15) \\  \\ &#10;E^{c}=(4,5,6)

Thus the set compliment of E will contain the elements {4,5,6}.So

E^{c} = {4,5,6}

Part 2)

P(E^{c}) means probability that if we select any number from the Sample Space S, it will belong the set E compliment.

P(E^{c}) = (Number of Elements in E^{c})/Number of elements in S

Number of elements in set S = n(S) = 12
Number of elements in set E^{c} = n(E^{c})=3

So, 

P(E^{c})= \frac{n(E^{c}) }{n(S)} \\  \\ &#10;P(E^{c})= \frac{3}{12} \\  \\ &#10;P(E^{c})= \frac{1}{4}
7 0
3 years ago
Need help with full work quick
vekshin1

Answer:

Step-by-step explanation:

36x^3 - 81x

9x(4x^2 - 9)

9x(2x - 3)(2x + 3)

She is right

4 0
2 years ago
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