Which of the following best describes the algebraic expression 10% +2?
O A. The sum of ten times a number and two. OB. The product of ten plus a number and two. O C. Ten times the sum of a number and two.
D. Ten times the quantity of a number plus two.​

The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.

Given that,

The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].

Used the formula of logarithmic functions that are,

[tex]log (m^n) = n log m[/tex]

And, [tex]log_a (a) = 1[/tex]

Now, simplify the given logarithmic functions by using the above formula,

[tex]log_9 ( \dfrac{1}{81} )[/tex]

[tex]log_9 ( 81 )^{-1}[/tex]

[tex]log_9 ( 9^2)^{-1}[/tex]

[tex]log_9 ( 9)^{2 \times -1}[/tex]

[tex]log_9 ( 9)^{-2}[/tex]

Apply the formula [tex]log (m^n) = n log m[/tex],

[tex]- 2 log _ 9 (9)[/tex]

Since, [tex]log_a (a) = 1[/tex]

Hence, it can be written as,

[tex]- 2 log _ 9 (9)[/tex]

[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]

Therefore, the solution is,

[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]

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Answer:

6(x + 20)

Step-by-step explanation:

you need to divide both numbers by six.

I recommend downloading photomath for a more detailed explanation and for help with math in the future.

Answer:

1. $6.88

2. 16 oz box

3. 5 dollars if u were to buy the 11 pound I think

Step-by-step explanation:

1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88

2. cheaper for more

Answer:

a) Equation is: 3x+4=22

b) Solving the equation we get the number x = 6

Step-by-step explanation:

a) Equation

Let the number be x.

Translating the statement into mathematical form:

Multiply the number with 3 i.e 3x

Add four i.e 3x+4

I get twenty two means: 3x+4=22

So, Equation is: 3x+4=22

b) Solve the equation:

3x+4=22

subtracting 4 on both sides

[tex]3x+4=22\\3x+4-4=22-4\\3x=18[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{18}{3}\\x=6[/tex]

So, the number x = 6

Answer:

i think its c) asa but im not sure

Step-by-step explanation:

Answer:

D. [tex]2^{18}[/tex]

Step-by-step explanation:

The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]

For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:

6 * 3 =  18

Now the expression looks like this: [tex]2^{18}[/tex] *   [tex]2^{0}[/tex]

Any number to the power of zero is 1.

So the equation now looks like this:  [tex]2^{18}[/tex] * 1

After you multiply the two terms, you end up with  [tex]2^{18}[/tex].

Answer:

The answer is D 2^18

Step-by-step explanation:

Answer:

Yes, I think. I could be wrong but hopefully not!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.

Answer: 24.24 miles

Step-by-step explanation:

We should note that 1000 metres = 1 kilometer.

Imelda rode her bicycle 39 kilometers which will be converted to meters a:

= 39 × 1000

= 39000 meters

Since 1 meter = 1.094 yards

39000 meters = 39000 × 1.094 = 42666 yards

To find find the distance Imelda rode her bicycle to the nearest mile goes thus:

1 mi = 1760 yd

42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles

Answer:

24.24

Step-by-step explanatio i looked at the answer above thank if you

like that

Answer:

The value of 2a will be: 16

Step-by-step explanation:

Given the equation

[tex]5 + 6a = 7a-3[/tex]

subtract 5 from both sides

[tex]5+6a-5=7a-3-5[/tex]

[tex]6a=7a-8[/tex]

[tex]-a=-8[/tex]

Divide both sides by -1

[tex]\frac{-a}{-1}=\frac{-8}{-1}[/tex]

[tex]a=8[/tex]

As we know that [tex]a=8[/tex] is the solution to the equation.

Hence, the value of 2a will be:

[tex]2a = 2(8)[/tex]    ∵ [tex]a=8[/tex]

     [tex]= 16[/tex]

Therefore, the value of 2a will be: 16

Answer:

Step-by-step explanation:

Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4

Answer:

a fork

Step-by-step explanation:

Answer:

your right elbow

Step-by-step explanation:

Answer:

adding 5 tiles each time

Answer:

C: 15.9cm

Step-by-step explanation:

d= circumference/π

= 50/3.14

=15.9 cm

Answer:

c

Step-by-step explanation:

on edge 2020

Answer:

i think it's c

Step-by-step explanation:

12:6 can be done as 4:12 also saying 1:3

Answer:

Step-by-step explanation:

Given

Solving for n

Answer:

x=1.5 y=2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the first equation to solve the second equation

y = 4.25 - x

16.90x + 4(4.25 -x) = 36.35

16.90x + 17 - 4x = 36.35

12.90x = 19.35

x = 1.5

y = 4.25-1.5

y= 2.75

x=1.50

y=2.75

Answer:

x=-6

Step-by-step explanation:

Twice mean multiply by 2

and twice a number is 2x (If you let x be the "number")

increase means adding by

increase by 1 is adding by 1

Is means =

is -11 is

=-11

now that we have all the things we add it up

Wice a number increased by 1 is -11:

2x+1=-11

Now you move the 1 to the other side by subtracting by 1 on both sides:

2x+1-1=-11-1

Simplify:

2x=-12

divide both sides by 2:

x=-6

Hope this helps!

Answer:

The percentage profit of the bookshop will make on the whole is 27%.

Step-by-step explanation:

The following are given in the question:

Copies of books for sale = 650

Selling price per copy = 75

Copies sold at 5% discount = 300

Discount rate = 5%, or 0.05

Percentage profit per copy = 30%, or 0.30

To calculate cost per copy, the following formula is used:

Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)

Substituting the values into equation (1) and solve for Cost per copy, we have:

30% = (75 - Cost per copy) / Cost per copy

0.30 * Cost per copy = 75 - Cost per copy

(0.30 * Cost per copy) + Cost per copy = 75

1.30 * Cost per copy = 75

Cost per copy = 75 / 1.30

Cost per copy = 57.6923076923077

Therefore, we have:

Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500

Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25

Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375

Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250

Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625

Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125

To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:

Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)

Substituting the relevant values form above into equation (2), we have:

Percentage profit on the whole = (10,125 / 37,500) * 100

Percentage profit on the whole = 0.27 * 100

Percentage profit on the whole = 27%

Therefore, the percentage profit of the bookshop will make on the whole is 27%.

Complete question is;

In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².

This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?

Answer:

A2 = 1 m²

Step-by-step explanation:

Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;

F1/A1 = F2/A2

We are given;

Force of small piston: F1 = 100 N

Area of small piston; A1 = 0.0020 m²

Force of small piston: F2 = 50000 N

Thus;

Making A2 the subject, we have;

A2 = (F2/F1)A1

A2 = (50000/100) × 0.0020

A2 = 1 m²

Answer:

Integers are 7, 8, 9

Step-by-step explanation:

Let three positive consecutive integers are (n - 1), n, (n + 1)

If the product of the second and the third integer is 72,

n(n + 1) = 72

n² + n = 72

n² + n - 72 = 0

n² + 9n - 8n - 72 = 0

n(n + 9) - 8(n + 9) = 0

(n - 8)(n + 9) = 0

(n - 8) = 0 ⇒ n = 8

(n + 9) = 0 ⇒ n = -9

For n = 8,

Integers will be ⇒ 7, 8, 9

For n = -9,

Integers will be ⇒ -10, -9, -8

Since, all integers are positive,

7, 8, 9 will be the answer.

Answer:

Look at the Latin root. Mono means one, so [tex]2x^{2}[/tex] is an example because it is only made up of one term. Bi means two, so [tex]3x^{3}[/tex]+4 is an example because it was two terms. Tri means three, so there needs to be three terms for it to be a trinomial. [tex]2x^{5}[/tex]-3x+5 is an example of a trinomial because it was three terms within the equation.

I hope this helps!

Answer:

The possible graph is "A". A further explanation is given below.

Step-by-step explanation:

The given values are:

Dominick spends on running

= 0.70 hours

He spends on swimming

= 1.5 hours

This week,

Dominick spends more than six hours.

If,

Number of runs be "x".

Number of swimming be "y".

then,

⇒ [tex]0.75x+1.5y>6[/tex]

⇒ [tex]75x+150y>600[/tex]

⇒ [tex]x+2y>8[/tex]

Therefore, [tex]x+2y=8[/tex]

x = 0

y = 4

So the above is the correct answer.

Answer:

the equation to finding slope is this:

y2-y1 / x2-x1

Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.

5-0 / -2-2

5/-4

-5/4 is the slope

Step-by-step explanation:

Answer:

[tex]m=\frac{-5}{4} \\[/tex] which is the slope.

Step-by-step explanation:

Since we have two points on the line, we can easily calculate the slope.

Point 1 = (-2, 5)

Point 2 = (2, 0)

[tex]m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}[/tex]

Answer:

Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]

Step-by-step explanation:

The general form of equation of line is given by:

[tex]y = mx+b[/tex]

When a line passes through origin it has no y-intercept so the equation will become

[tex]y = mx[/tex]

Slope is given by the formula

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

Here,

(x1,y1) = (0,0)

(x2,y2) = (7,2)

Putting the values in the formula

[tex]m = \frac{7-0}{2-0} = \frac{7}{2}[/tex]

Putting the value of slope in equation of line

[tex]y = \frac{7}{2}x[/tex]

Hence,

Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]

Answer:

y = 2/7x

Step-by-step explanation:

ap.ex

Answer:

y = 70 + 30x

slope 30

y intercept 70

Step-by-step explanation:

Answer:

x = 9/2

Step-by-step explanation:

4x + 8 = 6x - 1

4x - 6x = - 1 - 8

-2x = -9

2x = 9

x = 9÷2

x = 9/2

-TheUnknownScientist

Answer:

the answer is b

Step-by-step explanation: