Given that
logaN - logax = 3/2
express x in terms of a and N, giving your answer in a form not involving logarithms.

Answers

Answer 1

Answer:

N/a^3/2

Step-by-step explanation:

loga(N/X)=3/2

N/X= a^3/2

X= N/a^3/2

Answer 2

Step-by-step explanation:

When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:

[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]

Then use the formula:

[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]

[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]

[tex]x = n {a}^{ - \frac{3}{2} } [/tex]


Related Questions

Andre set up a lemonade stand last weekend. It cost him $0.15 to make each cup of lemonade, and he sold each cup for $0.35.
If Andre collects $9.80, how many cups did he sell?
How much money did it cost Andre to make this amount of lemonade?
How much money did Andre make in profit

Answers

Answer:

18 cups of lemonade

Step-by-step explanation:

so if it cost him $0.15 to make each cup of lemonade and he sold a cup for $0.35 then he sold 18 cups

Given circle E with diameter \overline{CD} CD and radius \overline{EA} EA . \overline{AB} AB is tangent to E at A. If EA=18 and DB=12, solve for AB. Round your answer to the nearest tenth if necessary.

Answers

The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0

What is the tangent of a circle?

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter Line |EA| = radius = 18Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30Line |AB| = opposite (x) = ???Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

Learn more about finding the tangent of a circle here:

https://brainly.com/question/16507124

levi works 8 hours each workday . He works every day for 10 days. If he made 620 during those 10 days ,how much does levi make per hour?​

Answers

Answer:

7.75$

Step-by-step explanation:

620/10 = 62

This gives you the amount of hours (8) in the day

62/8 = 7.75

This gives you how much Levi makes each hour :)

one sixth of a number is 9 algebraic expression​

Answers

Answer:

x= 54

Step-by-step explanation:

let the number be (x)

so One sixth of x will be 9

numerically,

1/6 × (x) =9

x= 9×6

x= 54

Given ↓The verbal phrase → one-sixth of a number is 9To find ↓The algebraic expression of the verbal phraseCalculations ↓

One-sixth can be written as [tex]^1/_6[/tex]

now, let the number be y

so one-sixth of y is written as

[tex]^1/_6~y~=~9[/tex]

If it's necessary to solve for y, consult the [Solving for y] section of this ans ↓

[Solving for y]

First we need to get rid of the fraction, one-sixth.

since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.

the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)

[tex]^1/_6*6~y~=~9~*~6}[/tex]

On the left-hand side the 6's cancel, and we're left with

1 y = 9 * 6

Or

y = 9* 6

Which simplifies to :

y = 54

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

It’s c
Explanation. 1 + 2= 3 and 1/6+2/6=3/6. 3/6 is equivalent to 1/2. So the answer is 3 1/2

Answer:

The Answer is 3 1/2 or C

Step-by-step explanation:

2+1=3

1/6+2/6=3/6

3/6 = 1/2

3 + 1/2 = 3 1/2

A salesperson receives a 2.5% commission on sales what commission does the person receive for $8,000 in sales. ​

Answers

Answer:

8000 * 1.025 = 8200

commision = 200

Step-by-step explanation:

You received an $8500 bonus, which was 12% of your salary. What is your annual salary with this bonus?

Answers

Answer:

$79333

Step-by-step explanation:

[tex]salary:x[/tex]

[tex]12\%x=8500[/tex]

[tex]x=8500\div 12\%[/tex]

[tex]x=70833[/tex]

[tex]70833+8500=\$79333[/tex]

I hope this helps you

:)

Timothy has a model of an armoured vehicle created using a scale of 1 : 72. If the length of the model is 3.3 inches, what is the actual length of the ed. e Limit vehicle, in feet?

Answers

Answer:

Length of armoured vehicle:  19.8 ft

Step-by-step explanation:

1 is to 3.3 in as 72 is to x:

   1         72

-------- = --------

 3.3         x

This yields x = 237.6 (inches), which corresponds to 237.6/12 (feet):

Length of armoured vehicle:  19.8 ft

This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
xxx yyy
-94−94minus, 94 242424
-74−74minus, 74 181818
-54−54minus, 54 121212
What is the xxx-intercept of the line?
((left parenthesis
,,comma
))

Answers

From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, when x increases by 20, y decays by 6, hence the slope is given by:

[tex]m = -\frac{6}{20} = -0.3[/tex]

Then:

y = -0.3x + b.

When x = -54, y = 12, hence:

y = -0.3x + b

12 = -0.3(-54) + b.

b = -4.2.

Thus, the equation is:

y = -0.3x - 4.2.

The x-intercept is the value of x when y = 0, hence:

-0.3x - 4.2 = 0.

x = -4.2/0.3

x = -14

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Step-by-step explanation:

rate plsss

of the ten menu items at deli, 7 are sandwiches With meat, 2 are sandwiches without meat, and 1 is a desert.Write the fraction of menu options that are sandwiches as a fraction with a denominator of 100. Then write the fraction as a decimal.

Answers

The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.

How to write the fraction?

Out of the 10 options on the menu, 7 are sandwiches.

Then the fraction of options in the menu that are sandwiches is:

7/10

But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:

7*10/10*10 = 70/100

This is the fraction we wanted.

Now, we want it as a decimal, this will be:

70/100 = 0.7

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

The amount of Jake’s paycheck is directly proportional to the hours he works. After working 23 hours, his paycheck was $180.55. Determine the number of hours Jake needs to work to receive a paycheck of $290.45.

Answers

Answer:

35 hours

Step-by-step explanation:

Find the value of n x 5 when n=8

Answers

Answer:

40

Step-by-step explanation:

Since n=8, then you do 8x5=40.

Answer:

40

Step-by-step explanation:

n x 5

We know what n is equal (8), so we can substitute that number in the given equation.

n x 5 = (8) x 5 = 40

Therefore, the value of n x 5 when n = 8 is 40.

I hope this helps and please mark me as brainliest!

Find the area of the shaded region

Answers

Answer:

Step-by-step explanation:

Remark

The easiest way is to find the area of the trianlge and subtract the area of the circle.

Area of the triangle

Area of the triangle = 1/2 b * h

b = 40 km

h = 27 km

The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km

Area of the triangle = 1/2 * 40 * 27

Area of the triangle = 540

Area of the circle

Area of the circle = pi r^2

r = d/2

r = 12/2

r = 6

Area of the circle = pi * 6*6

Area of the circle = 3.14 * 36

area of the circle = 113.04

Area of the shaded region

Area of the shaded region = area of triangle - area of the circle

Area of the triangle = 540

Area of the circle = 113.04

Area of the shaded region = 540 - 113.04

Area of the shaded region = 426.96

PLS HELP ITS ONLY 2 QUESTIONS

For number 6, Cylinder formula 3.14r^2*h (h=height)

For 5, pyramid formula 1/3b*h

5) base=33
Length=34
Height=21



6) pi=3.14
Radius=20
Height=31

Answers

Answer:

Cylinder: 3.14(20)^2*31

3.14(400)*31

1,256*31

becomes the answer 38,936!

Pyramid: 1/3(33)^2*21

1/3(1,089)*21

363*21

7,623!!!

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
5
15/2
15/2

Answers

7 and 1/2 in simplest form.

A Parallelogram has one angle that measures 10°. What are the measures of the other three angles in the parallelogram?

Answers

given:

one angle= 10°

to find:

the remaining 3 angles.

solution:

angle sum= 360°

2x10=20

360–20=34

340/2=170

so, the remaining 3 angles are 10, 170 and 170.

Answer:

10, 170,  170

Step-by-step explanation:

Opposite angles of parallelogram are equal

Consecutive angles in a parallelogram are supplementary (add 180°)

Interior angles in a quadrilateral add up to 360°.

10+10=20   (2 opposite angles of 10 each)

360-20= 340

340/2 = 170 (2 opposite angles of 170)

10+170 = 180 (2 consecitive angles supplementary)

10+10+170+170=360

5ª×5ª=5¹¹. what r the value of a?​

Answers

Answer:

I think one is 5 and another is 6 because 5+6=11

Answer:

a=5

a=6

add the exponents and keep the base the same

Complete the reasons for the proof.
given:

m 3 = m 4

Prove 1 and 2 are supplementary

Answers

Answer:

m3 and m4 are supplementary

Step-by-step explanation:

since m3 and m4 are supplementary, we can state that m3 and m4 are supplementary
see full explanation in the vid below

Solve for the area of the shape below. Don't forget
your units!!
13 in
9in
7in
18in
Area:

Answers

Answer:

63in^2

Step-by-step explanation:

base=18in

height=7in

Area=b*h*1/2

=18*7*1/2

=63in^2

Use what you know about triangles to classify this triangle.

Triangle with two acute angles and one ninety degree angle. Two sides are the same length.

Answers

Isosceles triangle!!!

Answer:

I believe this is an isosceles triangle! Hope this helps ^^

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Pythagorean theorem: a^2+b^2=c^2

3^2+b^2=5^2
9+b^2=25
b^2=16
b=Sqrt[16]
b=4

Length of the third side = 4

Bradley bought 8 quarts of lemonade. How many cups did Bradley buy?

Answers

Answer: 32 cups

Step-by-step explanation:

1 quart: 4cups

8 x 4 : 36 cups

bradley bought 32 cups. there are 4 cups in a quart

Please Help! I'll give a lot of points!
Find the simple interest Jolie owes on a 2-year loan for $9,500 to buy a used car at the rate of 9% interest.

This is a TWO part question, make sure to answer both part A. and B.

A. Find the amount of interest. Show the math computation use to find the amount of interest.

B. What was the monthly payment? Show the work used to find this answer.

Answers

Answer:

A.  Interest = $1710

B.  Monthly payment = $467.08

Step-by-step explanation:

Simple interest formula:

[tex]\sf A = P(1+rt)[/tex]

where:

A = final amountP = principalr = annual interest rate (in decimal form)t = time (in years)

Given:

P = $9,500r = 9% = 0.09t = 2 years

Substitute given information into the formula:

[tex]\begin{aligned} \sf \implies A & = \sf 9500(1+0.09 \cdot 2)\\& = \sf 11210 \end{aligned}[/tex]

Interest = final amount - principal

             = 11210 - 9500

             = $1710

term = 2 years

1 year = 12 months

⇒ term = 2 × 12 = 24 months

Monthly payment = final amount ÷ months in term

                              = 11210 ÷ 24

                              = $467.08

Principle=P=9500Time=T=2yrsRate of interest=9%Interest be I

So

[tex]\\ \rm\rightarrowtail I=\dfrac{PRT}{100}[/tex]

[tex]\\ \rm\rightarrowtail I=\dfrac{9500(2)(9)}{100}[/tex]

[tex]\\ \rm\rightarrowtail I=95(18)[/tex]

[tex]\\ \rm\rightarrowtail I=\$ 1710[/tex]

#B

Total months=24

Monthly payment:-

Principle+Interest/months9500+1710/2411210/24467.08≈467$

-1/3 + -7/4 please help me​

Answers

Answer:

-25/12

Step-by-step explanation:

Given expression:

    [tex]\bullet \ \ \dfrac{-1}{3} + \huge\text{(}\dfrac{-7}{4} \huge\text{)}[/tex]

Open the parenthesis:

    [tex]\implies \dfrac{-1}{3} + \huge\text(\dfrac{-7}{4} \huge\text)[/tex]

    [tex]\implies \dfrac{-1}{3} - \dfrac{7}{4}[/tex]

Make common denominators:

    [tex]\implies \dfrac{-1 \times 4}{3 \times 4} - \dfrac{7 \times 3}{4 \times 3}[/tex]

    [tex]\implies \dfrac{-4}{12} - \dfrac{21}{12}[/tex]

Subtract the fractions:

    [tex]\implies \boxed{\dfrac{-25}{12}}[/tex]

please help giving 20 points​

Answers

Answer: 13

Step-by-step explanation:

      We will use the order of operations to solve.

Given:

20 ÷ (5 * [tex]\frac{2}{5}[/tex]) + 3

Multiply:

20 ÷ ([tex]\frac{10}{5}[/tex]) + 3

Divide:

(20 * [tex]\frac{5}{10}[/tex]) + 3

[tex]\frac{100}{10}[/tex]

Add:

10 + 3

13

Factories the following quadratic:
x^2 - 9x + 20

Answers

Answer:

[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Step-by-step explanation:

Given equation

[tex] \sf {x}^{2} - 9x + 20 [/tex]

Rules for factorisation,

distribute the middle term in such a way that constant of each term when multiplied outputs the last number.

The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.

rewriting equation,

[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]

[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Thanks for joining brainly community!

Answer:

(x - 5)(x - 4)

[tex] \: [/tex]

Step-by-step explanation:

So, here we have to factorise the polynomial :

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]

The two numbers are 4 and 5, so

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]

Finding common factors :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]

Some points to know :

Factorisation is the reverse process of multiplucation.

The Factorisation is the process of finding two or more expressions such that their product is the given expression

if 6 people share 31 apples equally, how many apples should each person get ?

Answers

Answer:

5 apples

Step-by-step explanation:

[tex]\frac{31}{6}=5.16666667[/tex]

Since the problem asks for how many apples, you'll have to round down the number you get. 5.16666667 rounded down gives you 5 apples each.

Find the measure of each angle indicated.

Answers

The measure of the unknown angle in the triangle is 58 degrees.

What is a triangle ?

A triangle has three sides and the sum of the angles of a triangle is 180 degrees.

Triangles can be classified base on there angles and length of the sides.

Therefore,

let the length of the unknown angle = x

x + 65° + 57° = 180°

x + 122 = 180

subtract 122 from both sides

x + 122 - 122 = 180 - 122

x = 58 degrees

leanr more on triangle here: https://brainly.com/question/8691602

What do a rectangle and a kite have in common?

Answers

Answer:

- Both are quadrilaterals.

- Both have two pairs of side of equal length.

I hope my answer helps you.

Answer: 2 pairs of congruent sides

Hope this helps!

have a nice day!

Hannah is solving a quadratic equation in the form ax^2+ bx + c = 0
She has got to this point in her working out.
x = 3 +/- root 29 / 2
Find the values of a, b and c for the equation Hannah is solving.

Answers

A quadratic equation is represented by the form ax^2+ bx + c = 0

The values of a, b and c are 1, -3 and -5, respectively

How to determine the values of a, b and c?

The solution is given as:

[tex]x = \frac{3 \pm \sqrt{29}}2[/tex]

The solution to a quadratic equation is represented as:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

By comparing [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex] and [tex]x = \frac{3 \pm \sqrt{29}}2[/tex], we have:

-b = 3

So, b = -3

Also, we have:

2a = 2

So, a = 1

Also, we have:

b² - 4ac = 29

Substitute values for a and b

(-3)² - 4 * 1 * c = 29

This gives

9 - 4c = 29

Subtract 9 from both sides

-4c = 20

Divide by -4

c = -5

Hence, the values of a, b and c are 1, -3 and -5, respectively

Read more about quadratic equations at:

https://brainly.com/question/8649555

Other Questions
Explain the outcome effect of long term dilatedblood vessels. 1) anything that has mass and takes up space is calledA. TissuesB. MassC. MatterD. Atomic numberE. Weight2) mechanical energy isA. Found in machinery onlyB. Usually measured at the atomic levelC. The sum of the chemical and thermal energy of an objectD. The sum of the kinetic and potential energy of an object( please answer it guys i really bad at my physics TnT)) help please this is hardddddddd how will you celebrate the season of lent and the virtue of faith who would be three good actors for Lorraine, John, and Mr.Pignati for the book The Pigman by Paul Zindel? What type of probes physically land on the surface of a planet or moon? if the economy is in long-run equilibrium at potential output and the money supply ______ then in the long run, prices will decrease and output will ___ g Select the properly punctuated sentence that is not a comma splice, run-on, or fusedsentence.1) Fred went to the carnival and bought cotton candy, apples, and candy; he ateso much that he felt ill the next day.2) Amy arrived with all of the materials we were able to build the fort. What is Mendelian inheritance find the area of a trapezoid Find the surface area of this figure. Pls help. Very urgent. Read the poem I, Too, Sing American. Then answer the questions in the picture. I will mark brainliest and i will give 50 points for this one. I will post the poem in the comment section.-Thank you brainly community,Namil Kim A healthy diet is one that is ________ in saturated fats, trans fats, cholesterol, salt, and added sugars. Solve f(x)=2, if f(x)=1/2x-3 Read the short selection and answer the questions from 11 to 16. Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.__________________. Margaret had not done her math homework. She hated math! Math, as far as she was concerned, was the worlds biggest waste of time. That was a fine attitude when she was having her afterschool snack, or playing with her friends, or watching movies all evening, but now she sat squirming in her seat, praying that Ms. Green wouldnt ask her to go up to the board to demonstrate a problem. She dropped her eyes to her desk as Ms. Green's eyes swept the classroom, looking for a victim. What is the setting?How do you know? The formation of rock fragments and soil is most likely the result of:. What did Sequoyah invent? What is the probability that parents with genotypes Ee and ee will have a child with attached earlobes? Explain. 345.50 grams of C6 H12 O6 = how many mol C6H12O6 ? - (MM=180.16g/mol).100.0grams of O2 = how many mol O2? - (MM=32.00g/mol).14.37 moles of AgNO3 = how many grams AgNO3? - (MM= 169.87g/mol).