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Alex_Xolod [135]
3 years ago
10

What is the point slope form of a line that has a slope of five and passes through the points 3,-4

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

it would be, 5x-y=-19

Step-by-step explanation:

Use equation y-y1=m(x-x1)

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Gary received a 3.5% raise in salary. If he is now paid $140 374.85, what was his previous salary?
Ostrovityanka [42]

Answer:

$135461.73

Step-by-step explanation:

140374.85 decrease 3.5% =

140374.85 × (1 - 3.5%) = 140374.85 × (1 - 0.035) = 135461.73025

3 0
3 years ago
Express this to single logarithm
zzz [600]

Answer:  \log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

===========================================================

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

  1. log(A) + log(B) = log(A*B)
  2. log(A) - log(B) = log(A/B)
  3. B*log(A) = log(A^B)

From there, we can then say the following:

\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}

8 0
3 years ago
A 15-kg bag of strawberry for $8<br><br><br> ____ per kg
aleksandr82 [10.1K]

Answer:

$0.53 per kg

Step-by-step explanation:

8/15=533333333... so round it

4 0
4 years ago
Read 2 more answers
A Volcanic cone Have a diameter of 300 meters and a height of 150 meters what is the volume of the cone
ololo11 [35]
Volume of the cone = 1/3 π r² h

Volume of the cone = 1/3 π (300÷2)² (150) = 3, 534,291.74 m³

Answer: 3, 534,291.74 m³
4 0
3 years ago
the perimeter of one rectangle is 120cm. another rectangle with twice the length amd and one third the width has a perimeter of
fgiga [73]

Answer:

Dimensions of 1st rectangle,

length = 39 cm, width = 21 cm.

Dimensions of the 2nd rectangle,

length = 78 cm, width = 7 cm.

Step-by-step explanation:

Let the dimensions of the 1st rectangle be,

Length = x, width = y

so the dimensions of the 2nd rectangle becomes,

Length = 2x, width = y/3

perimeter of the first rectangle,

2(x+y)=120 --------- (i)

perimeter of the 2nd rectangle,

2(2x+y/3)=170 ---------(ii)

if we solve equation (i) and (ii), we'll get,

x = 39

y = 21

for the other rectangle, 2x = 78, y/3 = 7.

Answered by GAUTHMATH

3 0
3 years ago
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