Show work, solve by using square root method

Step-by-step explanation:

Begin by separating the division. Division in the argument of a logarithm function is equivalent to subtracting the log of the numerator and denominator:

[tex]ln( \frac{ {x}^{9} \sqrt{ {x}^{2} + 7} }{ {(x + 7)}^{7} } ) = ln( {x}^{9} \sqrt{ {x}^{2} + 7 } ) - ln(( {x + 7})^{7} )[/tex]

Multiplication under a logarithm means addition:

[tex] ln( {x}^{9}) + ln( \sqrt{ {x}^{2} + 7 }) - ln(( {x + 7})^{7} )[/tex]

Log rules say that exponents can be dragged to the front as coefficients:

[tex]9ln(x) + \frac{1}{2} ln( {x}^{2} + 7) - 7ln(x + 7)[/tex]

Answer:

Yes, but you have to write what the slope and y-intercept of the equation is as well.

Step-by-step explanation:

(Not sure if you wanted the full answer or just if you should graph it but I'm putting it here anyways :^P)

First convert the equation from standard form to slope-intercept form.

5x-3y=18 -> 5x-18-3y -> 5/3x-6=y

5/3x is the slope and 6 is the y-intercept!

Then graph the equation.

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

[tex]\sf \rightarrow 5x - 3y = 18[/tex]

[tex]\sf \rightarrow - 3y = 18-5x[/tex]

[tex]\sf \rightarrow y = \dfrac{-5x+18}{-3}[/tex]

[tex]\sf \rightarrow y = \dfrac{-5x}{-3} + \dfrac{18}{-3}[/tex]

[tex]\sf \rightarrow y = \dfrac{5}{3}x -6[/tex]

comparing with y = mx + b, Here we can identify that the

x-intercept:          ( then y will be 0 )

[tex]\sf \hookrightarrow \dfrac{5}{3}x -6=0[/tex]

[tex]\sf \hookrightarrow \dfrac{5}{3}x=6[/tex]

[tex]\sf \hookrightarrow x=\dfrac{18}{5}[/tex]

[tex]\sf \hookrightarrow x = 3.6[/tex]

In order to graph the line

Graph:

Answer:

You use the most important and sacred tool: ruler

Answer: By measuring with tape or ruler

Step-by-step explanation:

[tex]7 \frac{5}{8} + 4 \frac{2}{3} [/tex]

the simplest form.

[tex] \frac{61}{8} + \frac{14}{3} [/tex]

[tex] = \frac{(61 \times 3) + (14 \times 8)}{8 \times 3} [/tex]

[tex] = \frac{183 + 112}{24} [/tex]

[tex] = \frac{295}{24} [/tex]

[tex] = 12 \frac{7}{24} [/tex]

hence, the correct answer is option D.

Answer:

8 hrs to get there    (  12   hrs to get back)

Step-by-step explanation:

rate * time = distance      distance is the same for both trips

15 km/hr * (t-4)   = 10 ( t)

15t - 60 = 10 t

5t = 60

t = 12  

  t-4 = 8  hrs      

Answer:

Step-by-step explanation: if 5/2:2/5 then 4/5 of a pint= 10/2 and you now only need 1/5 of a pint so you have to divid 5/2 by 2. that will give you 1.25 and 1.25 as a fraction is 5/4. now you need to change the fraction 10/2 so that you can add them. Equation for that is 10/2 times 2/2 that gives you 20/4 and 20/4+ 5/4=25/4 or 6 1/4(six and one fourth) of a cup

Answer:

if you play 3 games and the total cost equals to 42
then just do 42 divided by 3 which is 14 so that should be your answer!

Step-by-step explanation:

im very sorry if i get it wrong im only trying to help
so i hope its correct

Answer:

a) x = 1/12

b) x = 3/4

c) x = 2/35

d) x = 20

e) x = 3/10

Step-by-step explanation:

a) 8x = 2/3

   8x/8 = (2/3) / 8

   x = 2/3 * 1/8

   x = 2/24

   x = 1/12

b) 1 1/2 = 2x

    3/2 = 2x

    (3/2) / 2 = 2x/2

    3/2 * 1/2 = x

    3/4 = x

    x = 3/4

c) 5x = 2/7

   5x/5 = (2/7) / 5

   x = 2/7 * 1/5

   x = 2/35

d) 1/4x = 5

   1/4x * 4 = 5 * 4

   x = 20

e) 1/5 = 2/3x

   1/5 * 3/2 = 2/3x * 3/2

   3/10 = x

   x = 3/10

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Answer:

n=14

Step-by-step explanation:

To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.

Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;

7(8) = 4(n)

56 = 4n

14 = n

Answer:

1,962.5

Step-by-step explanation:

r=d/2

50 / 2 = 25

25 = r

A= πr²

3.14 x 25²=1,962.5

[tex]Hope[/tex]  [tex]this[/tex]  [tex]helps![/tex]

Answer:

94.8 %

Step-by-step explanation:

mean 32   +  1.63   * SD   = 63

Z-score for 1.6316   is .9484     94.8 %  are < 63

Answer:

B: M,P,O,N,Q

Step-by-step explanation:

Sowy if i am wrong pls don't go hard on me.

Answer:

b

Step-by-step explanation:

took the test

Answer:

B

Step-by-step explanation:

point (5,-7)  slope ( -3) form of the line would be

(Y- -7) = - 3(x-5)

y+7 = -3 (x-5)  

Answer:

Answer: 50 percent or 1/2

Answer:

10.205 inches²

Step-by-step explanation:

Step-by-step explanation:

8. Simple random sample

9. Stratified Sample

10. Convenience Sample

Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

You buy 4 health bars and 3 health drinks for $10, hence:

4x + 3y = 10.

Your friend buys 6 health bars and 2 health drinks for $10, hence:

6x + 2y = 10

2y = 10 - 6x

y = 5 - 3x.

Replacing on the first equation:

4x + 3y = 10

4x + 3(5 - 3x) = 10

-5x = -5

5x = 5

x = 1

Then:

y = 5 - 3x = 5 - 3 = 2.

More can be learned about a system of equations at https://brainly.com/question/24342899

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To find the area of the trapezoid we need to find the height of the trapezoid.

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)

The area of the trapezoid is 54 units².

ABCD is a trapezoid

AD=10, BC = 8,

CK is the altitude altitude

Area of ∆ACD = 30

In ∆ACD,

\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}

Substituting the values,

30 = 1/2 * AD × CK

30 = 1/2 * 10 × CK

(30 * 2)/10 = CK

CK = 6 units

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)

Area ABCD = [tex] \frac{1}{2} \times ck \times (ad + bc)[/tex]

Area ABCD = [tex] \frac{1}{2} \times 6 \times (10 + 8)[/tex]

Area ABCD = [tex] \frac{1}{2} \times 6 \times (18)[/tex]

Area ABCD = 54 units²

Hence, the area of the trapezoid is 54 units².

Answer:

The area of the rectangle = x + 20

Step-by-step explanation:

The explanation is in the attachment

SORRY FOR MY BAD HANDWRITING

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Answer:

20%

Step-by-step explanation:

[tex]\frac{52-65}{65}[/tex] * 100% = -20%

Answer:

x=3 and x= -3

Step-by-step explanation:

Sorry for my handwriting I know it's not the best but I hope it helps

Answer:

x=-1.13389341903

Step-by-step explanation:

square root of 63=7.93725393319

÷-7=-1.13389341903

this should be the answer

Answer:

picture a is 180⁰ clockwise or counterclockwise (c)

picture b is 90⁰ counterclockwise (b)

Step-by-step explanation:

hope this helps :)

Answer:

A and B

Step-by-step explanation:

The first one is 180 clockwise…

Second picture is 90 counterwise.

I hope thi help and have a good day.

The decimal number 11.6 is to one decimal place, and the closest integers to 11.6 are 11 and 12

The decimal number is given as:

11.6

The above decimal number is between the digits 11 and 12

This means that the closest integers to 11.6 are 11 and 12

Read more about decimal at:

https://brainly.com/question/11406179

Answer:

35%

Step-by-step explanation:

Answer:

Step-by-step explanation:

ok, so this is an infinitly repeating function, so you can write it as:

sqrt(12-x)

Although, x is also equal to sqrt(12-x), so

x = sqrt(12-x), and

x^2 = 12-x

x^2-12+x = 0

now just apply the quadratic formula and you're good

hope i helped :D

Overtime Hours Worked A random sample of 15 registered nurses in a large hospital showed that they worked on average 44. 2 hours per week. we can estimate with 90% confidence that the population mean of overtime hours worked by registered nurses in the hospital is between 42.5 and 45.9 hours per week.

The t-distribution is a probability distribution that is used to estimate the population mean of a normally distributed variable when the sample size is small or the population standard deviation is unknown.

To estimate the population mean with a 90% confidence interval, we can use a t-distribution with n-1 degrees of freedom, where n is the sample size.

First, we need to calculate the standard error of the mean, which measures the variability of sample means around the population mean. The formula for the standard error of the mean is:

SE = s / sqrt(n)

where s is the sample standard deviation and n is the sample size.

In this case, s = 2.6 and n = 15, so:

SE = 2.6 / sqrt(15) = 0.671

Next, we need to find the critical value of the t-distribution with 14 degrees of freedom and a 90% confidence level.

We can look this up in a t-table or use a calculator to find that the critical value is approximately 1.761.

Finally, we can calculate the confidence interval using the formula:

CI = X ± tα/2 * SE

where X is the sample mean, tα/2 is the critical value of the t-distribution, and SE is the standard error of the mean.

In this case, X = 44.2 and tα/2 = 1.761, so:

CI = 44.2 ± 1.761 * 0.671

CI = (42.5, 45.9)

Therefore, we can estimate with 90% confidence that the population mean of overtime hours worked by registered nurses in the hospital is between 42.5 and 45.9 hours per week.

For more details regarding t-distribution, visit:

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The quadrilateral ABCD is an isosceles trapezoid, and the length of AC for the quadrilateral is 19 feet

The quadrilateral ABCD is an isosceles trapezoid

This means that:

From the above highlights, we have:

AC = 7ft + 12ft

Evaluate the sum

AC = 19 ft

Hence, the length of AC for the quadrilateral is 19 feet

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Read more about quadrilaterals at:

https://brainly.com/question/5715879

Answer:

A. Whatever that is in the parenthesis should be solve first.

Answer:

A is the correct option you should always solve the bracket first if you know about BIDMAS

B- BRACKET

I- INDICES

D- DIVISION

M- MULTIPLICATION

A- ADDITION

S- SUBTRACTION