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maria [59]
2 years ago
13

What is 35% of 305.3 ?

Mathematics
1 answer:
Oksana_A [137]2 years ago
8 0

Answer:

106.855

This is the answer

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I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
2 years ago
Find the area (DO NOT label answers)<br> 16 yd<br> 6 yd<br> 11 yd
-Dominant- [34]

Answer:

The area would be 48.

Step-by-step explanation:

7 0
2 years ago
The function y = –16t2 + 224 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cl
vodomira [7]
We are given with the free-fall function expressed as y = –16t2 + 224. To get the time of fall, equate y equal to zero as this means the stone has already reached the bottom. Doing this, t is equal to square root of 14 or equivalent to 3.74 seconds
8 0
3 years ago
Read 2 more answers
Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
BigorU [14]
You have two 30-60-90 triangles, ADC and BDC.

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse
     1        :  sqrt(3)  :        2

Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC

First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30

Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10

AB = AC - BC = 30 - 10 = 20
6 0
2 years ago
Read 2 more answers
Find an equivalent expression by simplifying 10x+5x-45+7y
egoroff_w [7]

Answer:

15x-45+7

Step-by-step explanation:

You would add the 10x and the 5x im pretty sure that would simplify it

3 0
3 years ago
Read 2 more answers
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