Condense the following logarithm:
[tex]5 log_{4}(a) - 6 log_{4}(b) [/tex]
​

Answer:

y = -2x + 7

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 7 / 1 - 0

-2 / 1

= -2

y = -2x + b

5 = -2(1) + b

5 = -2 + b

7 = b

Answer:

t=75

h=19

x=9

s=6

Your welcome (:

Answer:

[tex]\sqrt{y}[/tex] ÷ xz²

Step-by-step explanation:

multiply the exponent of 'x' by -2 to get -1

multiply the exponent of 'y' by -2 to get 1/2

multiply the exponent of 'z' by -2 to get -2

= (x^-1)(y^1/2)(z^-2)

= 1/x · [tex]\sqrt{y}[/tex] · 1/z²

=  [tex]\sqrt{y}[/tex] / xz²

Answer:

Step-by-step explanation:

Basically you turn 1/2 into fourths,  1/2 = 2/4

After that you would multiply 4 2/4 x 2 1/4

Then you get 10.125 turned into a fraction is 81/8

Answer:

508.69

Step-by-step explanation:

...

Answer:

Step-by-step explanation:

This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:

[tex]\frac{miles}{hrs}:[/tex]

Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):

[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:

638x = 4466 so

x = 7 hrs

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

Explanation:

Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.

See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.

~Refer to the attachment for the solution.

[tex] \to \bf { Sum = 3500 } [/tex]

Answer:

a)

b)

Answer:

x  =  500 yd

y  =  250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

Answer:

y = 3/2  when x = 15

Step-by-step explanation:

y = k / √1+x  

2 = k / √1+8 = k/3  

k = 6  

y' = 6 / √1+15 = 6/4 = 3/2

Answer:

D seems most credible .

Hopefully this helped

Answer:

Step-by-step explanation:

7 x 5 = 35

35/2 = 17.5

[tex]17.5ft^{2}[/tex]

The area of the given triangle is 17.5 ft²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given a triangle with base=7ft and height =5ft

We know that area of a triangle = 1/2 × base × height

Therefore, the area of a triangle = 1/2 (7)(5) = 17.5 ft²

Hence, the area of the given triangle is 17.5 ft²

For more references on area, click;

https://brainly.com/question/27683633

#SPJ2

Answer:

22

Step-by-step explanation:

We will first find the value of x .

Then we will multiply 6 to the value of x

Answer:

40

Step-by-step explanation:

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

Answer:

x = 7

Step-by-step explanation:

5/(40+5) = 3/(2x+10+3)

1/9 = 3/(2x+13)

2x+13 = 3×9

2x = 27 - 13

x = 14/2

x = 7

Answer:

Step-by-step explanation:

Since they are directly proportional:

5cm -> 3cm

40cm -> y

y = 120/5

 = 24cm

2x+10 = 24

2x = 14

x = 7cm

Feel free to mark it as brainliest :D

Answer:

-435588

Step-by-step explanation:

12−3 ∙ 1210 ∙ 120

Multiply first

12-435600

Then subtract

-435588

Answer:

12^7

Step-by-step explanation:

I got it right in grandpoint

Answer:

above 95 percentage is the correct answer right away

Answer:

Each friend pays $14 on lunch

Step-by-step explanation:

Answer:

answer is a

Step-by-step explanation:

Describe the end behavior of the given function.

$(-) = 0) – 2

O A. As x decreases, (x) approaches 2.

OB.

As x decreases, Ax) approaches negative infinity.

OC. As xincreases, fx) approaches infinity.

OD. As x increases, Ax) approaches -2

Answer:

C.

Step-by-step explanation:

(Use desmos graphing calculator to graph it...)

Answer:

x^2-11x=-24

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

58(r)^5 = 440.4375

r^5 = 440.4375 / 58

r^5 = 7.59375

r = 1.5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]m=\boxed{\frac{2}{5}}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}[/tex]

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

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Step-by-step explanation:

diameter of cylinder is 48m

radius= diameter/2

Answer:

24 meters

Step-by-step explanation:

1. Radius is half of a diameter

2. d = 48 meters

3. r = d/2 = 48/2 = 24 meters

Answer:

[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]