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AfilCa [17]
3 years ago
14

Which values from the set{5,7,9,11,13} make the inequality w-4<8 true?

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

5, 7, 9, 11

Step-by-step explanation:

Solve the inequality

w - 4 < 8 ( add 4 to both sides )

w < 12

w ∈ { 5, 7, 9, 11 }

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A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
aleksandr82 [10.1K]

Answer is<em> </em><em><u>3t²-6t</u></em>

<h3>Step-by-step Explanation:-</h3>

s(t) =  {t}^{3} - 3 {t}^{2} + 8

Now we need to find velocity. The velocity is the first derivative of position, so let's find the derivative of s(t) :-

s'(t) = v(t) = 3 {t}^{3 - 1} - 3 \times 2 {t}^{2 - 1}

So,

v(t) = 3 {t}^{2} - 6t

Therefore, <u>v(t) = 3t²-6t</u>

7 0
2 years ago
PLZ HELP!!!!!!! A sequence is defined by the recursive function f(n + 1) = f(n) – 2.
tensa zangetsu [6.8K]

Answer:

f(n + 1) = f(n) - 2 \\ n = 1 -  -  -  - f(1 + 1) =f(1) - 2 \:  \:  \:  -  -   - >   \:  \: f(2) = 10 - 2 = 8 \\ f(2) = 8 \\ n = 2 -  -  -  - f(2 + 1) = f(2) - 2 \:  \:  \:  -  -  -  >  \:  \:  \: f(3) = 8 - 2 = 6 \\ so \: f(3) = 6 \\ and \: we \: are \: done.

3 0
3 years ago
Two complentary angles are drawn such that one angle is 10 more than seven times the other angle find the measure of each angle
expeople1 [14]

Answer:

10° and 80°

Step-by-step explanation:

Complementary angles sum to 90°

let one angle be x then the other angle is 7x + 10 , so

x + 7x + 10 = 90

8x + 10 = 90 ( subtract 10 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

and 7x + 10 = 7(10) + 10 = 70 + 10 = 80

Thus the 2 angles are 10° and 80°

8 0
3 years ago
if a rectangle has a greater perimeter than another rectangle, does it also have a greater area? Explain.
Lemur [1.5K]
No.

The maximum possible area given a constant amount of material for a quadrilateral will always be a square.

For example if the material for the perimeter is 64 we can form a rectangle that is 22 by 10 which will have an area of 220 u^2.

However a square using the same amount of material will have sides of 64/4=16 and an area of 16^2=250 u^2

So in general the area is maximize the closer the sides are to being equal and minimized as the difference between the sides becomes greater.  In the case of comparing the material, perimeter, of a rectangle to a square for the same amount of material the square will use less material than the rectangle.

A square can have a smaller perimeter and a greater area that a rectangle.

In the example above the rectangle had a perimeter of 64 u and an area of 220 u^2.  If we made a square with just 60 u, it would have an area of 225 u^2.
4 0
3 years ago
19 1/2 is 3/4 of what number?
steposvetlana [31]

Answer:

19.5 = 0.75x

x = 26

I hope this finds you well and have a great day.

7 0
3 years ago
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