Simplify 12^16 over 12^4

Answers

Answer 1

Answer: 12¹²

Step-by-step Explanation: The 12's in this problem are bases so as you apply the quotient rule, subtract the exponents but leave the base alone to get 12¹².

Answer 2

Answer:

12^(12)

Step-by-step explanation:

(12^16)/(12^4)

Apply the law of exponents where a^b/a^c = a^(b - c)

12^(16 - 4)

= 12^(12)


Related Questions

Jessica rode 38 miles on a bus. The ride took 48 minutes. What was the average speed of the bus?

Answers

Answer: 47.5 miles per hour

Step-by-step explanation:

Speed = distance / time

48 minutes = 0.8 hours

Speed = 38 / 0.8

= 47.5 miles per hour

ANSWER: 21.235 m/s

Step-by-step explanation:

Distance travelled: 38 miles, 61155.1 m(SI unit of speed or average speed is m/s so distance has to be in meters and time has to be in seconds)

Time taken:48 minutes, 48×60 seconds= 2880 seconds

Average speed= total distance by total time taken: 61155.1/ 2880= 21. 235 m/s

The production of rice increased by 50% from 1995 to 1996 by what percentage should the production of rice be increased from 1996 to 1997 so that the production of prize in 1997 become six times that of 1995

Answers

Answer:

300%

Step-by-step explanation:

Let the production of rice in 1995 be x.

From 1995 to 1996, the production increased by 50%

This implies that the production of rice is now:

(100 + 50) / 100 * x = 150/100 * x = 1.5x

It means the production is now 1.5 that of 1995.

We want the production in 1997 to be 6 times that in 1995, that is 6x, this implies that we have to find the percentage increase from 1996 to 1997:

(100 + P) / 100 * 1.5x = 6x

By cross-multiplying:

100 + P = 6x * 100 / 1.5x

100 + P = 400

P = 400 - 100

P = 300%

Therefore, the production must be increased by 300%.

I Need the answer ASAP PLEASE HELPPPP What is 7/ 16 · 1 /2 ? A) 7/ 8 B) 7/ 32 C) 14/ 32 D) 7 /64

Answers

Answer:

B

Step-by-step explanation:

7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this

7 x 1

and 16 x 2

using this logic you can multiply both fractions to make

7/32

Answer:B) 7/ 32

alll you gotta do is multiply across and its already simplified

If you take a number, times by 4 then subtract 1. You get the same as if you took the number, times by 6 then add 9. What is the number?

Answers

Answer:

-5

Step-by-step explanation:

4x-1=6x+9

-1-9=6x-4x

-10=2x

x=-5

A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You must show your working.

Answers

Answer:

£0.465. It is a better value.

Step-by-step explanation:

If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;

6batteries = £2.79

1 battery = x

x = cost of a battery

6x = £2.79

x = £2.79/6

x = £0.465

Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.

which one of the following is a type of face found on a platonic solid. A,regular hexagon, B. regular octagon, C.regular nonagon, D. regular pentagon
PLEASE NEED OF AN ANSWER

Answers

Answer:

B. regular octagon

I hope this will help you

(show all your working out)
Madeeha’s father won £149
He shared the money between his three children in the ratio 6:3:1
Madeeha was given the biggest share.
a) Work out how much money Madeeha was given.
b) She saved of her share.
How much did she save?

Answers

Answer:

She received £89.4

and she saved £67.05

Step-by-step explanation:

The complete question is as follows;

Madeeha’s father won £149.

He shared the £149 between his three children in the ratio 6:3:1. Madeeha was given the biggest share.

(a) Work out how much money Madeeha received.

(b) Madeeha saved 3/4 of her share.

Work out how much Madeeha saved.

Answer;

The total ratio is 6 + 3 + 1 = 10

Since madeeha was given the biggest share, that means she is given 6 out of 10 portions

So the amount she was given would be ;

6/10 * 149 = £89.4

Now we were told she saved 3/4

Amount saved would be 3/4 * 89.4 = £67.05

Heres the file, Im unsure how to start solving for the answer. Please help as best you can

Answers

Answer:

A: 58

Step-by-step explanation:

LINE MN is half of line AC so you divide AC by 2 to get your answer

Hope this helps!

Answer:

116 cm

Step-by-step explanation:

because smaller triangle and larger triangle are scalene triangle

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 50 and 57

Answers

Answer:

34%

Step-by-step explanation:

According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.

Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.

Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 =  34%.

How do I find the formula?

Answers

Step-by-step explanation:

Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.

So, given your question,

each side of the cube will be 3

because 3 × 3 × 3 = 27

Hope this helps.

Graph the inequality y > |x + 1| – 1. Which point is NOT part of the solution? (–1, 2) (1, −1) (–1, 0) (1, 3)

Answers

Answer:

(1,-1)

Step-by-step explanation:

If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.

Of the bundles delivered daily to the store, 1/3

consists of the morning edition of The Daily Sun.

Another 2 bundles are made up of the afternoon

edition of the same paper. Of the remaining

bundles, 1/2 is regional, one is a local

newspaper, and one is from another state. How

many bundles are delivered daily to the

bookstore?

Answers

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

find amount of water displaced by solid spherical ball of diameter 28 cm​

Answers

Answer:

11494.04cm³

Step-by-step explanation:

Volume of a sphere

V = 4/3πr³

you got a diameter of 28cm, so half of taht is the radius.

r = 14cm

plug in and solve

V = 4/3πr³

= 4/3π(14)³

= 11494.04cm³

Bob goes shopping at his favorite store and finds a hat that is regularly priced at $40, but it is on sale for 20% off. The sales tax on the hat is 10% of the sale price. How much does Bob end up paying for the hat?

Answers

Answer:

$35.2

Step-by-step explanation:

Marked price of hat = $40

Sale discount = 20%

discount in $ = 20% of $40 = 20/100 * 40 = $8

Thus, sale price = marked price - sale discount = $40 - $8 = $32

Now it is given that there is sales tax of 10%

This sales tax will be applied on sale price

thus,

sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2

Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2

Thus, Bob ended up paying $35.2 for the hat.

The cross sectional area of a square shaped tunnel is 25m², the volume of the tunnel is 575m³. How long is the tunnel?

Answers

Answer:

23 m

Solution,

Let the length of tunnel be 'l'

Area=25 m^2

Volume of tunnel= cross sectional area* length

[tex] or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m[/tex]

Hope this helps..

Good luck on your assignment..

What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16. -4
-2
2
5

Answers

Answer:

I tried this and I found that the y-value here is -4

Answer:

-4/A

Step-by-step explanation:

Edge2020 Unit test prep

FAST before Mod's delete this. Plz help me share this link as I have no social media. Copy it to your clipboard fast Ctrl + C. ::(( Copy fast: gofundme. com /f /i039m-sorry-for-the-wrong-things-i-did ? utm_ source = customer & utm_medium = copy_link & utm_campaign = p_cf+ share- flow-1 Plz don't report. Plz :( =( =(

Answers

Answer:

then get social media

Step-by-step explanation:

If a sample of 234 customers were taken from a population of 3620 customers, could refer to the variance of how many of the customers' ages?

Answers

If a sample of 234 customers were taken from a population of 3620 customers, s^2 could refer to the variance of how many of the customers' ages?

A. 234

B. 3620

C. Both 234 and 3620

D. Neither 234 nor

3620

Answer: 234

Step-by-step explanation:

Sample distribution = 234 customers

Population distribution = 3620 customers

S^2 which in statistics refers to the same variance utilizes the sample data in estimating the variance value of a population.

The sample variance is given by:

s^2 = (x - mean) / n - 1

where ;

n = number of observation in sample

s^2 = sample variance

mean = statistical mean of sample data

n - 1, is used to account for the bias in our estimation or inference of a population statistics from sample data.

Find the domains of the following functions: y= 1/x-2

Answers

Answer:

x is all real numbers, where x ≠ 2

Step-by-step explanation:

Domain is the input of x-values that can work in a function. Since we can't have 0 in the denominator (undef error), we have to exclude x = 2, as it will make the denominator 0. However, every other x-value works.

What type of triangle has these side lengths

Answers

Answer:

Option (C)

Step-by-step explanation:

Given sides of a triangle are 2, [tex]\sqrt{12}[/tex] and [tex]\sqrt{19}[/tex].

Option (A).

If the triangle is a right triangle.

By Pythagoras theorem,

(Longest side)² = (Leg 1)² + (Leg 2)²

[tex](\sqrt{19})^2=2^2+(\sqrt{12})^2[/tex]

19 = 4 + 12

19 = 16

Not true.

Therefore, its not a right triangle.

Option (B).

If it is a triangle following conditions will be followed.

1). a + b > c

2). b + c > a

3). a + c > b

For the given sides of the triangle,

1). 2 + √12 > √19 [True]

2). 2 + √19 > √12 [True]

3). √12 + √19 > 2 [True]

Therefore, the given measures of the sides will form a triangle.

Option (C)

By Pythagorean inequality theorem,

If c² =  a² + b² → Right triangle

If c² > a² + b² → Obtuse triangle

If c² < a² + b² → Acute triangle

Since, (√19)² > 2² + (√12)² → 19 > 4 + 12

Therefore, the given triangle is an Obtuse triangle.

Option (D).

Not true. It's an obtuse triangle.    

Pls help ASAP! Given a polynomial f(x), if (x − 1) is a factor, what else must be true? f(0)= 1 f(1)=0 f(-1)=0 f(0)=-1

Answers

Answer:

f(1) = 0

Step-by-step explanation:

If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0

Answer: x+1 plus the fator

Step-by-step explanation:

Sean los ángulos a y B, donde la suma de la mitad de a mas la tercera parte de B es igual a 15. calcula el doble del cociente del seno de 3a y el coseno de 2B. Urgente pls a es alpha y B es beta por si acaso

Answers

Answer:

Supongo que tenemos dos ángulos A y B

"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)

A/2 + B/3 = 15°

A/2 = 15° - (B/3)

A = 30° - 2*(B/3)

Ahora queremos calcular:

2*sin(3*A)/cos(2*B)

pero podemos reemplazar A por lo que tenemos arriba:

2*sin(3*(30° - 2*(B/3)))/cos(2*B)

2*sin(90° - 2*B)/cos(2*B)

y como sabemos,  

Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)

entonces:

2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.

Please answer this in two minutes

Answers

Answer:

you just have to use theorm and simplify it .

i hope u will get it...

What buddy said above

What is the slope of the line through (-9, 6) and (-6, -9)? A/ ⅕ B/ 5 C/ -5 D/ -⅕

Answers

Answer:

-5

Step-by-step explanation:

We can find the slope between two points by using

m = (y2-y1)/(x2-x1)

    = ( -9-6)/(-6 - -9)

   =(-9-6)/( -6+9)

  -15/3

   -5

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)

m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C

What is the slope-intercept equation for the line below?
(0.1) (4. 3)​

Answers

Answer:

y=1/2x+1

Step-by-step explanation:

You can use the equation (y1-y2)/(x1-x2) to find the slope of the line with the given points. You put your y-values on top and x values on bottom, subtracting them to get 3-1/4-0. Then you simplify to get 2/4 or 1/2 as the slope. You then get y=1/2x+b. You can use one of the given points as x and y to solve for b. using (0,1) as x and y you get the equation 1=1/2(0)+b, after multiplying you get 1=0+b, or 1=b. Now that you have b you can make the equation, y=1/2x+1.

The radius of the base of a cylinder is 10 centimeters and its height is 20 centimeters A cone is used to fill the cylinder with wager the radius of the cones base is 5 centimeters and its height is 10 centimeters

Answers

Answer:

24 times

Step-by-step explanation:

cone is used to fill cylinder

conevolume times x=cylindervolume

so

x=cylinderv/conev

cylinderv=hpir^2

conevolume=1/3hpir^2

cylinder:

v=hpir^2

r=10

h=20

v=20*pi*10^2=2000π

cone=1/3hπr²

r=5

h=10

v=1/3(10)π5²=250π/3

volume of cylinder ÷ volume of cone

= 2000π ÷ (250π÷3)

= 6000π ÷ 250π

= 600÷25

= 24

please mark me brainliest

x/3 = -9 plz solve this

Answers

Answer:

x=-27

Step-by-step explanation:

To solve this equation, we need to find out what x is. Therefore, we must get x by itself.

x/3= -9

x is being divided by 3. We want to perform the inverse operation, which is multiplication. Multiply both sides of the equation by 3.

3*(x/3)=-9*3

x= -9*3

x=-27

Let’s check out solution. Plug -27 back in for x.

x/-3= 9

-27/-3=9

9=9

This checks out, so we know our solution, x= -27, is correct.

Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis? g(x) = Negative two-fifths(10)x g(x) = Negative two-fifths (one-tenth) Superscript x g(x) = Two-fifths (one-tenth) Superscript negative x g(x) = Two-fifths(10)-x

Answers

Answer:

The correct option is;

g(x) = Negative two-fifths(10)x

Step-by-step explanation:

The rule for the reflection across the x-axis is as follows;

Reflection about the x-axis

Pre-image point before reflection = (x, y)

Point of image after reflection = ((x, -y)

Therefore, the x coordinate remains the same while the y coordinate changes sign

For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have

Reflection about the x-axis

Pre-image point before reflection = (x, f(x))

Point of image after reflection = (x, g(x))

Hence g(x) = -f(x) = -2/5(10)x.

Answer:

A

Step-by-step explanation:

Can someone help me with this question please.

Answers

Answer: The length of PQ is 37 KM

Step-by-step explanation:

(x+15) + 3(x+15)+ x=245

distribute

(x+15) + 3x+45+x

remove parenthesis

x + 15 + 3x + 45 + x

Add like terms

5x + 60 = 245

Subtract 60 from both sides

5x + 60 - 60 = 245 - 60

5x = 185

divide by 5

x = 37

<!> Brainliest is appreciated! <!>

Briana is excited because she has just been hired by a family to babysit on Saturdays. She’s looking forward to earning some extra spending money! The family will pay her $12 per hour for a maximum of 8 hours. Brianna makes a table to show her earnings for different numbers of hours. Help her complete the table.

Answers

List the hours from 1 to 8

Multiply the hours by how much she is paid per hour ( $12)

X: 1, 2, 3, 4, 5, 6, 7, 8

y: 12, 24, 36, 48, 60, 72, 84, 96

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