What is the value of n in the equation below?

What Is The Value Of N In The Equation Below?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

We can use the property of exponents  [tex]\frac{a^b}{a^c}=a^{b-c}[/tex]  over here.

Let's use this property to write:

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

This is equal to a^9, hence, n - 3 = 9. Let's solve for n:

[tex]n-3=9\\n=9+3\\n=12[/tex]

n = 12

Answer 2

Answer:

option C

12

Step-by-step explanation:

Given in the question an expression

[tex]\frac{a^{n} }{a^{3} }=a^{9}[/tex]

To solve for n we will use rules of exponent

cross multiply

[tex]a^{n}=a^{9}a^{3}[/tex]

apply product rule

[tex]a^{n}=a^{9+3}[/tex]

[tex]a^{n}=a^{12}[/tex]

Apply logarithm on both sides of equation

[tex]lna^{n}=lna^{12}[/tex]

apply power rule of logarithm

nln(a) = 12ln(a)

ln(a) will cancel out on each side so we are left with

n= 12


Related Questions

Which right circular cylinder has the greatest volume?



HELP FAST PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

A.) The red cylinder.

Step-by-step explanation:

For a cylinder:

V = (1/3)(pi)r^2h

Red:

V = (1/3)(pi)(2^2)(4) = 16pi/3

Blue:

V = (1/3)(pi)(1^1)(8) = 8pi/3

Since 16pi/3 is greater than 8pi/3, the red cylinder has a greater volume.

Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount.

What is the cost in dollars and cents for each pair of socks?

$8.34

$6.67

$4.99

$25.03

PLEASE HELP‼️ AND SHOW WORK‼️

Answers

Answer:

$4.99

Step-by-step explanation:

If she pays with $20 and recieves $5.03 in change, her total cost was 20 - 5.03 or $14.97. If each pair of socks is the same amount, 14.97 / 3 will give you the amount per each pair. 14.97 / 3 = $4.99

The cost in dollars and cents for each pair of socks is $4.99

The first step is to determine the total cost of the three pairs of socks

Total cost of the socks bought = amount paid - change received

$20 - $5.03 = $14.97

The second step is to determine the cost of each pair of socks

Cost of each pair of socks = total cost of socks / pairs bought

$14.97 / 3 = $4.99

A similar question was solved here: https://brainly.com/question/19823543?referrer=searchResults

One-fifth of the sum of q and 4

Answers

Answer:

.5/q+4

Step-by-step explanation:

HELP PLEASEEE!!!
Vince gross monthly pay is 2,150 (use this for 1-3)
-
(1) Vince pays 2.1% of his monthly salary for Medicare. How much does he pay each month?
-
(2) Vince pays 11.5% of his monthly pay in federal withholding. How much does he pay each month? -
(3) Vince pays 6% of his monthly salary for social security. How much does he pay each month?

Answers

Answer: The correct answers are $45.15, $247.25 and $129

Step-by-step explanation:

In order to solve the problems you need to multiply each percentage by his gross monthly pay.

$2,150 x .021 = $45.15

$2,150 x .115 = $247.25

$2,150 x .06 = $129

Find the surface area of the cone. Leave your answer in terms of A 70 cm^2 . B. 98 cm^2 C. 119 cm^2 D. 129 cm^2

Answers

Answer: OPTION C (119π cm²)

Step-by-step explanation:

Yon can use the following formula for calculate the surface area of a cone:

[tex]SA=rl\pi+r^2\pi[/tex]

Where r is the radius and l is the slant height.

Based on the figure shown attached, you have that:

[tex]r=7cm\\l=10cm[/tex]

Therefore, when you susbtitute these values into the formula shown above, you obtain that the surface area of the cone is:

[tex]SA=(7cm)(10cm)\pi+(7cm)^2\pi=119\pi[/tex]cm²

Answer:

The correct answer option is C. 119[tex]\pi^2[/tex]

Step-by-step explanation:

We are given the radius of the base of the cone and its height and we are to find its surface area.

We know that the surface area of the cone is given by: [tex]\pi rl +\pi r^2[/tex]

Substituting the given values in the above formula to get:

Surface area of cone = [tex] \pi \times 7 \times 10 + \pi \times 7^2 =[/tex] 119

Solve each equation 12sin^2-13sinx+3=0​

Answers

Answer:

Step-by-step explanation:

(I assume it's [tex]12sin^2 x -13 sinx +3 = 0[/tex])

Start by setting [tex] sinx = y [/tex] (or whichever letter you prefer). Your equation becomes [tex] 12y^2 -13y +3 = 0[/tex] . Solving for y you get [tex]y = \frac {-(-13) \pm \sqrt{13^2 - 4*3*12} } {2*12} =\frac{ 13 \pm \sqrt{13^2-12^2}} {24} = \frac {13 \pm5 }{24}\\ y = \frac {18} {24} = \frac 34; y= \frac 8 {24} = 1/3[/tex]

But we're not done yet. Since we said  [tex] sinx = y [/tex], you need to solve both  [tex] sinx = \frac 3 4 [/tex] and  [tex] sinx = \frac 1 3 [/tex], whose solutions are the inverse sine of said values, plus any number of complete rotations.

If a package of corn chips weigh 1.2 ounces, what is the weight in ounces of 48 packages ?

Answers

Answer:

1.2 ounces x (48 units)

=  57.6 ounces

Step-by-step explanation:

i'm not usually good at these questions but you can get a calculator that does weight multiplied by units.

so with your question it would be :

Answer: 57.6 ounces

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Let's call x the  weight in ounces of 48 packages.

2. You know that 1 package of corn chips weigh 1.2 ounces.

3. Therefore, to calculate  the weight in ounces of 48 packages, you must multiply 1.2 ounces by 48.

4. Then, you obtain that the result is:

[tex]x=(1.2ounces)(48)\\x=57.6ounces[/tex]

Find each percent change. State whether % is increase or decrease.
Original: 20 members
New: 27 members

Answers

Answer: 35% increase

Step-by-step explanation: In order to calculate the percentage change you must first calculate the amount of change, and then divide it by the original number of members.

27 - 7 = 7 member increase

7/20 = .35

There was a 35% increase.

Three-sevenths of a number is 21. Find the number.

Answers

Answer: 49

Step-by-step explanation:

HI :)

A confusing question but here's how I got my answer

1/7 is 21 divided by 3, which is 7

So now that we know what one seventh is we can multiply 7 by 7 and we get 49

Hope this helped :)

I can’t figure this out

Answers

Answer:

[tex]\large{60^o\to\dfrac{19\pi}{3}\\\\288^o\to\dfrac{18\pi}{5}\\\\315^o\to\dfrac{23\pi}{4}\\\\80^o\to\dfrac{22\pi}{9}}[/tex]

Step-by-step explanation:

[tex]\text{The formula of conversion of degrees to radians:}\ \dfrac{\theta \pi}{180}\\\\360^o=2\pi\\\\60^o=\dfrac{60\pi}{180}=\dfrac{\pi}{3}\qquad\dfrac{19\pi}{3}=6\pi+\dfrac{\pi}{3}=\dfrac{\pi}{3}\\\\288^o=\dfrac{288\pi}{180}=\dfrac{8\pi}{5}\qquad\dfrac{18\pi}{5}=2\pi+\dfrac{8\pi}{5}=\dfrac{8\pi}{5}\\\\315^o=\dfrac{315\pi}{180}=\dfrac{7\pi}{4}\qquad\dfrac{23\pi}{4}=4\pi+\dfrac{7\pi}{4}=\dfrac{7\pi}{4}\\\\80^o=\dfrac{80\pi}{180}=\dfrac{4\pi}{9}\qquad\dfrac{22\pi}{9}=2\pi+\dfrac{4\pi}{9}=\dfrac{4\pi}{9}[/tex]

Answer:

Step-by-step explanation:

To take a radian measure that is over 2π (360°), to an equivalent measure that is less than 2π, subtract intervals of 2π until the value is where you want it.

(23π)/4 - 2π =  (23π)/4 - (8π)/4 = 15π/4

This is still more than 2π, so subtract another 2π...

(15π)/4 - 2π = (15π)/4 - (8π/4) = (7π)/4

This is less than 2π, so stop here...

following similar steps on the other 3 given radian measures give you...

(18π)/5 = (8π)/5

(22π)/9 = (4π)/9

(19π)/3 = π/3

To convert from degrees to radians, multiply the degree measure by π/180°

We have

60°(π/180°) = (60°π)/180° = π/3

288°(π/180°) = (288°π)/180° = (8π)/5

315°(π/180°) = (315°π)/180° = (7π)/4

80°(π/180°) = (80°π)/180° = (4π)/9

if the equation of a circle is (x+5)^2 + (y-7)^2=36, its center point is​

Answers

Answer:

centre = (- 5, 7 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 5)² + (y - 7)² = 36 ← is in standard form

with h = - 5 and k = 7

centre = (- 5, 7)

which proportion is correct?​

Answers

Answer:

C

Step-by-step explanation:

When cross multiplied all numbers must be multiples of each others.

Answer:

Step-by-step explanation:

C would be your answer !

(Iv'e done this before.)

Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10. (5 points)

x squared divided by 5 plus y squared divided by 8 = 1

x squared divided by 25 plus y squared divided by 64 = 1

x squared divided by 8 plus y squared divided by 5 = 1

x squared divided by 64 plus y squared divided by 25 = 1

Answers

Answer:

[tex]\frac{x^2}{25}+\frac{y^2}{64}=1[/tex]

Step-by-step explanation:

If the ellipse has a vertical major axis of length 16, then

[tex]2a=16[/tex]

[tex]\Rightarrow a=8[/tex]

If the ellipse has the length of the minor axis to be 10, then;

[tex]2b=10[/tex]

[tex]\Rightarrow b=5[/tex]

The equation of the ellipse is given by;

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2}=1[/tex]

Thus;

[tex]\frac{x^2}{5^2}+\frac{y^2}{8^2}=1[/tex]

[tex]\frac{x^2}{25}+\frac{y^2}{64}=1[/tex]

Answer: A

Step-by-step explanation:

number of solutions for square root of 2x +3 add 6 = 0

Answers

ANSWER

No solution

EXPLANATION

We want to find the number of solutions for

[tex] \sqrt{2x + 3} + 6 = 0[/tex]

Add -6 to both sides.

[tex] \sqrt{2x + 3} = - 6[/tex]

Square both sides

[tex]2x + 3 = 36[/tex]

Solve for x.

[tex]2x = 36 - 3[/tex]

[tex]2x = 33[/tex]

[tex]x = \frac{33}{2} [/tex]

[tex]x = 16.5[/tex]

Substitute back into the equation.

[tex] \sqrt{2(\frac{33}{2})+ 3} + 6 = 0[/tex]

[tex] \sqrt{33+ 3} + 6 = 0[/tex]

[tex] \sqrt{36} + 6 = 0[/tex]

[tex] 6+ 6 = 0[/tex]

[tex]12 = 0[/tex]

This is not true.

The equation has no solution

Evaluate the expression 3x+2y when x is equal to 4 and y is equal to 2.4​

Answers

Answer: 16.8

Step-by-step explanation:

Answer:

16.8

Step-by-step explanation:

3x + 2y

x = 4 and y = 2.4

//replace x and y with it's value and combine like terms.

3(4) + 2(2.4)

12  + 4.8

16.8

What is x????????????

Answers

Answer:

v = -20.48

Step-by-step explanation:

v/4 + 1 = -4.12

v/4 = -5.12

v = -20.48

Muscles make up more than _____ of a person's body mass. A. 10% B. 25% C. 40% D. 75% Please select the best answer from the choices provided. A B C D

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

I would say the best answer is option C. 40%. This value is an approximate but it can vary from person to person based on many factors such as age.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Muscles make up more than 25%  of a person's body mass.  So, the best answer among the choices provided is B. 25%.

Muscles are a crucial component of the human body and are responsible for various functions, including movement, stability, and heat production. While the exact percentage of muscle mass can vary from person to person depending on factors such as age, gender, and fitness level, an average adult's body is composed of roughly 40-50% muscle mass. However, since the options provided do not include this range, the closest approximation is 25%.

It's important to note that maintaining and building muscle mass is essential for overall health, as muscles play a vital role in metabolism, strength, and mobility. So ,Muscles make up more than B. 25% of a person's body mass.

For more questions on Muscles

https://brainly.com/question/29851880

#SPJ6

Can anybody help me please

Answers

Answer: (-4,0) (1,0) (4,0) (0,2)

The x intercepts are: (-4,0) (1,0) (4,0) and the y intercept is (0,2)

Step-by-step explanation:

The plotted points are intercepts of the graph. It is quite easy to tell what is what by looking at the graph intervals and knowing what is x and y.

1/10 of the trees will be oak,3/10 will be pine ,and 2/10 will be willow what is the whole number

Answers

Add everything up together it equals 6/10 in simplest form it would be 3/5

Please help! I need this ASAP! Will give brainliest! Just 8 and 9 please show work

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

8) (10 x 15) / 2 = 75

(this is the area of the whole shape, including the non shaded part)

Now work out the area of the non shaded part:

(6 x 9) / 2 = 27

Subtract this area from the total area:

75 - 27 = 48

The area of the shaded part is 48 square yards

9) Find the area of the whole shape (including the non shaded parts)

13 x 7 = 91

Work out the areas of both non shaded regions:

4 x 3 = 12

2 x 1 = 2

Add these two values together:

12 + 2 = 14

Subtract this value from the total area:

91 - 14 = 77

The area of the shaded part is 77 cm^2

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

PLEASE HELP!!! WILL GIVE BRANLIEST!

Answers

Answer:

65

Step-by-step explanation:

29+24+12=65

The answer is 65

Hope this helps : )

What are the zeros of f(x)=x^2-8x+16

Answers

The only zero of the function f(x) = x^2 - 8x + 16 is x = 4.

The zeros of a function, f(x), represent the values of x that make the function equal to zero. To find the zeros of the given function, f(x) = x^2 - 8x + 16, we need to solve the equation f(x) = 0.

Let's set the equation equal to zero and solve for x:

x^2 - 8x + 16 = 0

To solve this quadratic equation, we can use factoring or the quadratic formula. In this case, the equation can be factored as:

(x - 4)(x - 4) = 0

This means that the equation is equivalent to (x - 4)^2 = 0.

To find the zeros, we set (x - 4)^2 = 0 and solve for x:

(x - 4) = 0

x = 4

So, the only zero of the function f(x) = x^2 - 8x + 16 is x = 4.

In other words, the graph of the function f(x) = x^2 - 8x + 16 intersects the x-axis at the point (4, 0).

How do I do this help
U get 43 points if u answer!!! Please

Answers

DOMAIN: -\infty \:<x<\infty    

RANGE: f(x) < or equal to 8

Step-by-step explanation:

look at the table how are, 50, 75, and 100 related to 25?​

Answers

They are all divisible by 25.

A person invests 6500 dollars in a bank. The bank pays 6.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 9000 dollars?

Answers

Answer:

[tex]5.3\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]A=\$9,000\\ P=\$6,500\\ r=0.0625\\n=2[/tex]  

substitute in the formula above  and solve for t

[tex]9,000=6,500(1+\frac{0.0625}{2})^{2t}[/tex]  

[tex]1.38462=(1.03125)^{2t}[/tex]  

applying log both sides

[tex]log(1.38462)=(2t)log(1.03125)[/tex]  

[tex]t=log(1.38462)/2log(1.03125)=5.3\ years[/tex]  

Answer: 14.4

Step-by-step explanation:

Which is the graph of 3x-2y=6?

Answers

Answer:

the third graph

Step-by-step explanation:

put the equation into the app desmos and you'll see where the graph should be

hope this helps!!

Answer:

B

Step-by-step explanation:

For an easier way to see this problem, let's rearrange the given equation in slope-intercept form ([tex]y=mx+b[/tex]):

[tex]-2y=-3x+6[/tex]

[tex]y=\frac{3}{2}x-3[/tex]

We know in slope-intercept form, the [tex]b[/tex] in the equation is the y-intercept. By process of elemination, we can see that the only answer that crosses at [tex](0, -3)[/tex] is answer B.

A bicycle wheel has a diameter of 24inches.
what is the area of the wheel?

Answers

Answer:

[tex]\large\boxed{A=144\pi\ in^2\approx452.16\ in^2}[/tex]

Step-by-step explanation:

A diameter is two times longer than a radius. Therefore, if the diameter

d = 24in, then the radius r = (24in) : 2 = 12in.

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

Substitute:

[tex]A=\pi(12)^2=144\pi\ in^2[/tex]

[tex]\pi\approx3.14[/tex]

Then

[tex]A\approx(144)(3.14)=452.16\ in^2[/tex]

Final answer:

The area of a bicycle wheel with a diameter of 24 inches can be calculated using the formula A = πr² and is approximately 452.16 square inches.

Explanation:

To calculate the area of a bicycle wheel with a diameter of 24 inches, we first need to find the radius of the wheel. The radius is half of the diameter, so in this case, the radius is 12 inches. The formula to find the area of a circle is A = πr², where A is the area and r is the radius. Substituting the known radius into the formula, we find:

A = π * (12 inches)² = π * 144 inches² ≈ 3.14 * 144 inches² = 452.16 square inches

Therefore, the area of the bicycle wheel is approximately 452.16 square inches.

Who discovered or made quadratic inequalities?

Answers

I think the answer is Pythagoras and Euclid
Answer:

The quadratic formula was made by Muhammad al-khwarizmi.

Explanation:

A quadratic inequality is a function whose degree is 2 and where the y is not always exactly equal to the function. Al Khwarzmi created the quadratic equation but Pythagoras and Euclid created a general procedure to find solutions of the quadratic equation. The Greek mathematician Diophantus solved the quadratic equation in his work Arithmetica,  but giving only one root, even when both roots were positive.

is the gfc of a pair of numbers ever equal to one of the numbers

Answers

Answer:

Yes

Step-by-step explanation:

Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.

2 and 200

10 and 100

13 and 52

one thousand and one million

Help!!!
Express in exponential form log4(x) = 3

A. 4^x = 3
B. 4^3 = x
C. 3^x = 4
D. 3^4 =x

Answers

ANSWER

The correct choice is B. 4³=x

EXPLANATION

The given logarithmic expression is

[tex] log_{4}(x) = 3[/tex]

We take antilogarithm of both sides to base 4.

[tex] {4}^{log_{4}(x)} = {4}^{3} [/tex]

This implies that,

[tex]x = {4}^{3} [/tex]

Answer:

B. 4³=x

Step-by-step explanation:

The log of  a number to a certain base is the exponent to the said base. therefore in the given expression, 4 becomes the base, 3 the exponent, and x the result.

So the base of the log is the base of the index while the index is the log.

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