Write the log equation as an exponential equation. You do not need to solve for x.
log (x-6) (6) = 3x – 5

Answer:

D.) 10 2/3 square feet

Step-by-step explanation:

The area will change by [tex](\frac{2}{3}) ^2=\frac{4}{9}[/tex]

multiply the area by 4/9 and you get 32/3 = 10 and 2/3 (because 10 = 30/3)

Answer:

C. 16 inch 3

Step-by-step explanation:

━━━━━━━━━━━━━━━━━━━━━━

Formula for finding the volume of cone - ⅓πr2h

Formula for finding the volume of cylinder - πr2h

Formula for finding the volume of Triangular Prism - Bh

Formula for finding the volume of Rectangular Prism - lwh

Formula for finding the volume of Pyramid - ⅓Bh

━━━━━━━━━━━━━━━━━━━━━━

Answer:

Pyramid: 1/3 B x H Triangular: B x H Cone: 1/3 pi r^2 x H Rectangular Prism: L x W x H Cylinder: pi r^2 x H

Step-by-step explanation:

Answer:

A) 65

B) 5

C) 242

D) 531

E) 36

Step-by-step explanation:

A) Let the unknown term be x.

Difference between 5 & 9 = 4

Difference between 9 & 17 = 8 = 4×2

Difference between 17 & 33 = 16 = 8×2

It is observed that the difference between two terms is getting doubled. So,

Difference between 33 & x = 16×2 = 32

∴ x = 33 + 32 = 65

B) Let the unknown term be x.

Difference between 20 & 12 = 8

Difference between 12 & 8 = 8/2 = 4

Difference between 8 & 6 = 4/2 = 2

It is observed that the difference between two terms is getting halved.

Difference between 6 & x = 2/2 = 1

∴ x = 6 - 1 = 5

C) Let the unknown term be x.

Difference between 2 & 8 = 6

Difference between 8 & 26 = 18 = 6×3

Difference between 26 & 80 = 54 = 18×3

It is observed that the difference between two terms is getting tripled.

Difference between 80 & x = 54×3 = 162

∴ x = 80 + 162 = 242

D) Let the unknown term be x.

Difference between 36 & 69 = 33

Difference between 69 & 135 = 66 = 33×2

Difference between 135 & 267 = 132 = 66×2

It is observed that the difference between two terms is getting doubled.

Difference between 267 & x = 132×2 = 264

∴ x = 267 + 264 = 531

E) Let the unknown term be x.

4 = 2²

9 = 3²

16 = 4²

25 = 5²

It is observed that all the terms in the sequence are squares of consecutive natural numbers.

So, x = 6² = 36

Answer:

C

Step-by-step explanation:

8+q=17

17-8=9

The answer is 9

You would replace p in the equation with 8, then subtract 8 from 17 leaving you with 9

Answer:

is 40/41 because is de answerv

Answer:

4.75

Step-by-step explanation:

Answer:

120-(30+48)= 42

Step-by-step explanation:

The total of numbers smaller than 10,000 that have a sum of their digits equal to 34 is 8.

Firstly, it is important to understand a number of at least 4 digits is required to have 34 by adding its digits. Now, from this principle find the possible numbers:

The total numbers is 8.

Learn more about numbers in: https://brainly.com/question/17429689

Answer:

20 hours

Step-by-step explanation:

[tex]\frac{15}{24}[/tex]=[tex]\frac{18}{x}[/tex]

15÷18=1.2

x=24÷1.2= 20 hours

20 hours is the answer

The time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.

Time taken is the inverse of the rate of work.

As it is given that the time taken by 15 caterpillars to eat all the leaves on the bush in Violetta's front yard is 24 hours, therefore, the rate at which the 15 caterpillars eat the leaves can be written as,

[tex]\rm Rate = \dfrac{\text{Number of Bush That caterpillars eat}}{\text{Time taken by the caterpillars}}[/tex]

[tex]\rm Rate = \dfrac{1}{24}[/tex]

Now, as it is the rate of 15 caterpillars, therefore, the rate of a single caterpillar can be written as,

[tex]\rm Rate = \dfrac{\frac{1}{24}}{15} = \dfrac{1}{24 \times 15}[/tex]

Now, the time taken by 18 caterpillars can be written as,

[tex]\rm Time\ taken = \dfrac{Work}{Rate \times 18}\\\\\rm Time\ taken = \dfrac{1}{\dfrac{1}{24 \times 15}\times 18}\\\\Time \taken = \dfrac{24 \times 15}{1 \times 18} = 20 \ hours[/tex]

hence, the time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.

Learn more about Work and Time:

https://brainly.com/question/8536605

Answer:

nAnI

Step-by-step explanation:

Answer:

We can't see it all that well sorry.

Step-by-step explanation:

Answer:

2 5/8 - 6 1/4 + 8 1/2\

= 227 /8

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Divided the first 2 numbers by eachother and then by four use a calculator

Answer:

1146198.07

Step-by-step explanation:

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]

The average spent at his competitor's store is of $48.53.

Answer:

a) Manager's store: mean = $37.60

Competitor's store: mean = $48.53

b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.

Step-by-step explanation:

used this for my test and it was correct.

Answer:

the answer is a, d, e

Step-by-step explanation:

the product of 18 and a number is 109.8=

18n=109.8

to find n, you need to divided by 109.8 by 18. You will get 6.1

To check, replace c with 6.1.

18x6.1=109.8

Answer:

ade

Step-by-step explanation:

Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).

Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.

where:

M = sample mean

Z = Z statistic determined by confidence level

sM = standard error = √(s2/n)

As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)

Answer:

24 miles

Step-by-step explanation:

Please find attached a diagram explaining the question

this would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

15² + 19²

225 + 361

586

the square root of 586 = 24 miles

We'll first need to determine what the composite function f(g(x)) is equal to.

Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2

So we get the following:

[tex]f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\[/tex]

Next, we apply the derivative

[tex]f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\[/tex]

Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.

The last thing we do is plug in x = 3 and simplify.

[tex]f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\[/tex]

Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with [tex]f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\[/tex]; however, your teacher has chosen not to rationalize the denominator.

Answer:

a^2 b^7

Step-by-step explanation:

I believe this is right

Answer:

Value of x =  15.1 unit (Approx.)

Step-by-step explanation:

Given:

For angle 54°

Base of triangle = 11 unit

Perpendicular of triangle = x unit

Find:

Value of x

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

Tan 54 = Perpendicular of triangle / Base of triangle

Tan 54 = x / 11

1.376 = x / 11

Value of x = 1.376 × 11

Value of x = 15.136

Value of x =  15.1 unit (Approx.)

Answer:

5C

6C

7D

8B

Step-by-step explanation:

5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.

6) C  because there are  6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6

7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25

8 B because mean is all the numbers add up divided by the amount of numbers so

5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6

7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8

8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8

9514 1404 393

Answer:

  W(x) = 0.06x +30

Step-by-step explanation:

The withholding on the student's salary is ...

  W(S(x)) = 0.10(0.60x +300) = 0.06x +30

Where x is the number of ice cream bars sold, the withholding is ...

  W(x) = 0.06x +30

Answer:

Step-by-step explanation:

Step 1: let's divide the total tickets into 2 respectively ie 18÷2=9

Step2: nw let's divede the 9 into 2 respectively and that give us 4.5. since her sister has as twice if many tickets therefore karyl has 4.5 tickets.

Given:

[tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex].

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We know that only cos and sec are positive in quadrant IV and all other trigonometric ratios are negative in quadrant IV.

Since [tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex], therefore the value of [tex]\sin \theta[/tex] must be negative.

[tex]\sin \theta=-\sin \dfrac{\pi}{3}[/tex]

[tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex]

Therefore, the required value is [tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex].