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3 years ago

7

Lin wants to save 75$ for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What pe

rcentage remains?

2 answers:

Temka [501]3 years ago

4 0

Answer:

37.50÷75=0.5 so first you are dividing bcus u need to find what percentage she has saved.

Svetllana [295]3 years ago

3 0

Answer:

O.5 because u need to divide and give me brainlessly plz

Step-by-step explanation:

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olganol [36]

Answer

12

3/4=9/x

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3x=36

x=36/3

x=12

7 0

3 years ago

Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using inte

Mashcka [7]

Answer:

f'(x) > 0 on $(-\infty ,\frac{1}{e})$ and f'(x)<0 on $(\frac{1}{e},\infty)$

Step-by-step explanation:

1) To find and interval where any given function is increasing, the first derivative of its function must be greater than zero:

$f'(x)>0$

To find its decreasing interval :

$f'(x)$

2) Then let's find the critical point of this function:

$f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}[6-2^{2x}]=\frac{\mathrm{d} }{\mathrm{d}x}[6]-\frac{\mathrm{d}}{\mathrm{d}x}[2^{2x}]=0-[ln(2)*2^{2x}*\frac{\mathrm{d}}{\mathrm{d}x}[2x]=-ln(2)*2^{2x}*2=-ln2*2^{2x+1\Rightarrow }f'(x)=-ln(2)*2^{2x}*2\\-ln(2)*2^{2x+1}=-2x^{2x}(ln(x)+1)=0$

2.2 Solving for x this equation, this will lead us to one critical point since x' is not defined for Real set, and x'' $=\frac{1}{e}$ ≈0.37 for e≈2.72

$x^{2x}=0 \ni \mathbb{R}\\(ln(x)+1)=0\Rightarrow ln(x)=-1\Rightarrow x=e^{-1}\Rightarrow x\approx 2.72^{-1}x\approx 0.37$

3) Finally, check it out the critical point, i.e. f'(x) >0 and below f'(x)<0.

8 0

3 years ago

If the original rectangle has an area of 2 cm squared and the scaled copied has an area of 50 cm squared what is the scale facto

vazorg [7]

Answer:

The scale factor used to draw the scaled copy is a factor of 5

Step-by-step explanation:

Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.

Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;

For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said

Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)

So the area has been scaled 25 times the original area. So how has the sides been scaled?

Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2

So in this particular case, the area is scaled by a factor of 25

Now, the scale factor of the sides will be the positive square root of this which is 5

Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5

8 0

3 years ago

Bo is trying to find the height of a radio antenna on the roof of a local building. He stands at a horizontal distance of 20 met

Romashka-Z-Leto [24]

Answer:

12.5

Step-by-step explanation:

see attached image

8 0

2 years ago

the population in Anna's town was 2,600 last year , this year , the population is 12% greater. what is the population on Anns to

TiliK225 [7]

2912 is the population . when 12% is increase of the Ann's population

5 0

4 years ago

Read 2 more answers