${ \tt{4 log_{4}(3100) }} \\ = { \tt{4 log_{4}(775 \times 4) }} \\ = { \tt{4 log_{4}(775) + 4 log_{4}(4) }} \\ = { \tt{4( (\frac{ log_{10}775 }{ log_{10}4 } ) +1)}} \\ = { \tt{4(4.8 + 1)}} \\ = { \tt{23.2}}$

8 0

3 years ago

A line has a slope of -3 and includes the point (-5,4) and (-7,q). What is the value of q

serious [3.7K]

Answer:

q = 10

Step-by-step explanation:

$\text{slope} =-3=\frac{q-4}{-7-(-5)} =\frac{q-4}{-2} \\\Longrightarrow -3=\frac{q-4}{-2} \\\Longrightarrow \left( -3\right) \times \left( -2\right) =q-4\\\Longrightarrow 6=q-4\\\Longrightarrow q=6+4\\\Longrightarrow q=10$

8 0

2 years ago

PLEASE HELP MEEEEEEE!!!!!

umka2103 [35]

Answer:

C 7ft/yr

Step-by-step explanation:

The given points are not all on the same line, so the average will vary depending on the interval of interest.

Over the interval [1, 11] years, the average rate of change of height is ...

change in height / change in years = (80 -10)/(11 -1) = 70/10 = 7 . . . ft/yr

On the interval [11, 15] years, the average rate of change is ...

(105 -80)/(15 -11) = 25/4 = 6.25 . . . ft/yr

Even on this interval, the closest answer choice is C.

8 0

3 years ago

Plz plz help urgently ❤️

Musya8 [376]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Angles in a triangle add up to 180°

Since it's a right angled triangle one of it's angles is 90°

So for angle F we have

F + 25 + 90 = 180

F = 180 - 115

To find GH we use tan

tan 25 = FG / GH

FG = 7m

tan 25 = 7 / GH

GH = 7 / tan 25

To find FH we use sine

sin 25 = FG / FH

sin 25 = 7 / FH

FH = 7/sin 25

Hope this helps you

4 0

3 years ago