Are there any properties that hold for base - 10 logarithms that would not be valid for the logarithm base e ? Why ? Are there any properties that hold for base - 10 logarithms that would not be valid for some positive base b, such that b ≠ 1 ?

Answer:

Zero

Step-by-step explanation:

Solve the equation by subtracting 8z from both sides:

8z − 5 = 8z

-5 = 0

-5 [tex]\neq[/tex] 0

This is a false statement, because -5 is not equal to zero.

This means that there are no solutions to the equation.

So, the equation has zero solutions

Because both sides of the equation have the same variable ( they both have 8x) this equation does not have any solutions.

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let [tex]x[/tex] be equal to the cost of 1 haircut.

Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ [tex]3x+y=239[/tex]

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ [tex]2x+y=192[/tex]

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- [tex]3x+y=239\\2x+y=192[/tex]

⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

[tex]2(47)+y=192\\94+y=192[/tex]

Subtract both sides by 94

[tex]94+y-94=192-94\\y=98[/tex]

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

900 square feet :)

Step-by-step explanation:

plz give brainliest

Answer:

option 4= 12/13

Step-by-step explanation:

let us supooae <c is thetha

sin thitha = oppotise side/hyptotenuse

<C= AB/AC

<C=12/13

Answer:

circumference of circle=2πr

hope it helps.

Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-2}{2-(-2)}[/tex]

[tex]m=\dfrac{3}{2+2}[/tex]

[tex]m=\dfrac{3}{4}[/tex]

Therefore, the slope of the given graphed line is [tex]m=\dfrac{3}{4}[/tex].

Answer:

x = 59

Step-by-step explanation:

combine all four angle measure expressions and set equal to 360°, then solve

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

6x = 354

x = 59

Answer: 1/4

Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.

Answer:

y ≤ -2x - 2

Step-by-step explanation:

Slope- intercept form is y = mx + b, m being the slope and b being the y-intercept.

The slope is the rise of the line over the run. We can choose two points that are exactly on the line. Let's try points (-1, 0) and (0, -2). The line slopes down, so we already know the slope is negative. From point (-1, 0), the line goes down 2 units and over 1 unit. So, the slope is -[tex]\frac{2}{1}[/tex]. We can also simply say that the slope is -2.

The line intersects with the y-axis at point (0, -2), so the y-intercept is -2.

Because the shading is on the left side of the line and the line is solid, we can tell that y is less than or equal to -2x - 2. So, the equation is-

y ≤ -2x - 2

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

Answer:

the length of the third side (the hypotenuse) is 7

Step-by-step explanation:

Solve this by using the Pythagorean Theorem:

(2√10)² + 3² = (hypotenuse)²

Then (hypotenuse) = √(40 + 9) = √49 = 7

Answer:

7

Step-by-step explanation:

2 root 10 ^2 is 40

3 squared is 9

root of 49

The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)

Answer:

d. about 66.5 hundred thousand

Step-by-step explanation:

Given that :

P(t) = 5.3t^(11/7)

Population, P is in hujdred thousand ; t = number of years

Population after 5 years ;

t = 5

P(5) = 5.3 * 5^(11/7)

P(5) = 5.3 * 5^1.5714285

P(5) = 5.3 * 12.542422

P(5) = 66.474840

P(5) = 66.5 (approximately)

Hence, population after 5 years will be about 66.5 hundred thousand.

Answer:

m = -1/11

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

Answer:

-4x-1

Step-by-step explanation:

combine 4x and -8x to make -4x and combine -2 and 1 to make -1

9514 1404 393

Answer:

  y = -|x -1| +2

Step-by-step explanation:

The transformation ...

  -f(x -h) +k

reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.

Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...

  y = -abs(x -1) +2

  y = -|x -1| +2

Answer:

264

Step-by-step explanation:

Area= 1/2•b•h

=2(1/2)(b)(h)+3(b)(h)

=2(1/2)(6)(4)+3(16)(5)

=264

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

The external angle at V is half the difference of the subtended arcs:

  (65° -25°)/2 = x° = 40°/2

  x = 20

Answer:

3^5/3

log(1/2)

log2(16)

Step-by-step explanation:

u.

Answer:

With the information provided, you can say that the total cost is equal to the entrance fee plus the price per ride for the number of rides, which would be:

C(x)=20+4x,where:

x is the number of rides

The domain of the function refers to all the inputs that the function can have and in this case, the domain consists of all real numbers greater than or equal to zero since x refers to the number of rides and it can't have a negative number.

Answer:

3

Step-by-step explanation:

3x=1 term

+2y= 2 term

-5= 3 term

Answer:

there are 3 terms in this equation

Step-by-step explanation:

3x --- this is the 1st term

2y --- this is the 2nd term

5 --- this is the 3rd term

(brainliest plz)

Answer:

x > 15

Step-by-step explanation:

Try to get x on a side by itself...

3x - 42 > 3

3x > 45

x > 15

Answer:

The answer is 16 feet

Step-by-step explanation:

You do 1.5 feet times 4 hours and you get 6 feet and than you add 10 and 6 and you get 16 feet after 4 hour.

Speed = Distance/Time

So, speed

= 300 km/2h

= 150km/h

= (150 × 1000m) / 3600s

= 150000m/3600s

= 41.66m/s [approximately]

Answer:

Hi! The answer to your question is [tex]x = 8[/tex]!

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka