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Alina [70]
2 years ago
13

3/4 = x/20 i need the answer i beg

Mathematics
1 answer:
Nady [450]2 years ago
8 0

Answer:

15/20

Step-by-step explanation:

4 x 5 = 20

so

3 x 5 = 15

so (sorry for the repetition)

= 15/20

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A ball is dropped from a height of 10 feet and returns to a height that is one-half of the height from which it fell. The ball c
Rudik [331]
Ok, so this is a sum of aruthmetic sequence and also use some logic

it goes 10 feet down, then 5 up, 5 down, etc (see attachment)

so the total distance is the sum of all the numbers in the sequence doubled, minus the first term (since it didn't bounce 10 feet up, it started from top)

the sum of an aruthmetic is
Sn=\frac{a_{1}(1-r^n)}{1-r}
where a1=first term, r=common ratio and n=which time

first term=10
common ratio is 0.5
n=4

so
2[\frac{10(1-0.5^4)}{1-0.5}]-10=answer27.5

the answer is 27.5 feet

5 0
3 years ago
the congruent sides of an isosceles triangle are each one unit longer than the length of the shortest side of the triangle the p
vazorg [7]

Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is

... s + (s+1) + (s+1) = 3s+2

The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so

... 3s+2 = 4s-8

... 10 = s . . . . . . . . add 8-3s to both sides

The length of the shorter side of the triange is 10 units.

8 0
3 years ago
Read 2 more answers
Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.
notka56 [123]

Step-by-step explanation:

if x-4 is a factor of 2x^3 + x^2- 26x - 40

then f(4) = 0

f(x) = 2x^3 + x^2- 26x - 40

f(4) = 2(4)^3 + (4)^2 - 26(4) - 40

f(4)= 2(64) + 16 - 104 - 40

f(4) = 128 + 16 - 104 - 40

f(4) = 0

hence factorize completely is the photo

7 0
2 years ago
What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0
slava [35]

Answer:

  130

Step-by-step explanation:

You want the determinant of the matrix ...

  \left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]

One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:

  D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)

  = 12 -15 +24 +2 +80 +27

  D = 130

The determinant of the coefficient matrix is 130.

_____

Many scientific and graphing calculators and web sites can perform this calculation for you.

7 0
3 years ago
F(x) = lnx/x
My name is Ann [436]
f(x) = \frac{lnx}{x}

(a) f'(x) = \frac{d}{dx}[\frac{lnx}{x}]
Using the quotient rule:
f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}
f'(x) = \frac{1 - lnx}{x^{2}}

For maximum, f'(x) = 0;
\frac{1 - lnx}{x} = 0
lnx = 1, x = e

(b) <em>Deduce:
</em>e^{x} \geq x^{e}, x > 0
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
\frac{ln(e)}{e} \geq \frac{lnx}{x}
\frac{1}{e} \geq \frac{lnx}{x}, since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
\frac{x}{e} \geq lnx
x \geq elnx
x \geq ln(x^{e})

Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
e^{x} \geq e^{ln(x^{e}})
e^{x} \geq x^{e}, as required.
3 0
3 years ago
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