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melisa1 [442]
3 years ago
7

Can someone solve this for me? Thanks.

Mathematics
1 answer:
erik [133]3 years ago
6 0
Use this formula
log_{5}(10x + 5)  -  log_{5}(x - 7)  =  \\  log_{5}( \frac{10x + 5}{x - 7} )

after thet you have

log_{5}( \frac{10x + 5}{x - 7} )  = 2
open this up

\frac{10x + 5}{x - 7}  =  {5}^{2}
and from now you sould be fine!
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Find the flow rate through a tube of radius 6 cm, assuming that the velocity of fluid particles at a distance r cm from the cent
vaieri [72.5K]

Answer:

791.68 cm/s

Step-by-step explanation:

The volume flow rate can be interpreted as the integral of fluid velocity over area

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7 0
4 years ago
Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

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Height is DF

DF =tan(60^{\circ}) \times DE

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DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

=\frac{1}{2}(2\sqrt{3} )

=\sqrt{3}

6 0
3 years ago
What is the inequality -26
lilavasa [31]
-26 is not an inequality.  It's just a number.  Maybe there was
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3 0
3 years ago
which can be the first step in finding the equation of the line that passes through points (5,-4) and (-1,8) in slope intercept
Kruka [31]

Answer:

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

8 0
3 years ago
What are the two things do you need to write an equation?
dlinn [17]

Answer:

Slope and y intercept.

Step-by-step explanation:

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Alternatively, you could also write the equation for a line with a point on the line and the slope.

You would then write it in point slope formula:

y-y1=m(x-x1)

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3 0
3 years ago
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