simplify 4^6 x 4^3/4^2 = 4^[?]​

Answers

Answer 1

Simplifying 4^6 x 4^3/4^2 is 4^(6+3-2) = 4^7

How to simplify the expression

To simplify the expression 4^6 x 4^3/4^2,

we use the following exponent rules:

When we multiply two numbers with the same base, we add their exponents.

When we divide two numbers with the same base, we subtract their exponents.

Using these rules, we can rewrite the expression as:

4^6 x 4^3/4^2 = 4^(6+3-2)

Here, we add the exponents of 4 in the numerator (6 and 3) because we are multiplying them, and we subtract the exponent in the denominator (2) because we are dividing.

Simplifying further, we get:

4^6 x 4^3/4^2 = 4^(7)

Therefore, the simplified expression is 4^7.

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Related Questions

Let X be the amount of time (in minutes) a USPS clerk spends with a customer. It is known that X follows an exponential distribution and USPS clerks take care of 38.1 percent of customers less than two minutes. Find P(0.5 < X < 3).

Answers

Answer: 0.4

Step-by-step explanation:

Given: Cumulative exponential distribution:

\(P(x<k)=1-e^{\frac{-x}{k}}\)

As per given,

\(P(x<2)=1-e^{\frac{-2}{k}}=0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=1-0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=0.619\\\\\Rightarrow\ {\frac{-2}{k}}=\ln(0.619) \ \ \ [\text{Taking natural log on both sides }]\\\\\Rightarrow\ {\frac{-2}{k}}=-0.47965\\\\\Rightarrow\ k=\dfrac{2}{0.47965}\\\\\Rightarrow\ k=4.17\)

\(P(0.5 < X < 3) \\\\=P(X<3)-P(X<0.5) \\\\=(1-e^{-\frac{3}{4.17}})-(1-e^{-\frac{0.5}{4.17}}) \\\\=e^{-\frac{0.5}{4.17}}-e^{-\frac{3}{4.17}}\\\\= 0.4\)

Hence, the required probability = 0.4

Help its due today and I'm stuck on this question

Convert 75 gram per cm 3 to pounds per cubic inch (round to nearest tenth) [ 1 pound = 0.4536 kg] [ 1 cm = 0.3937 in] [ 1 kg = 1000g] (Show your work)


2.07 pounds/in 3


1.7 pounds/in 3


2.7 pounds/in 3


3.2 pounds/in 3

Answers

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

18. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89

Answers

The requried, Multiplies(with switching factors.) area given below,

a.

693 x 83 = 57489

83 x 693 = 57489

The answer is 57489.

b.

910 x 45 = 40950

45 x 910 = 40950

The answer is 40950.

c.

38 x 84 = 3192

84 x 38 = 3192

The answer is 3192.

d.

409 x 89 = 36401

89 x 409 = 36401

The answer is 36401.

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What is the length of AB when A is (-7,-6) and B is (1,0)

Answers

Answer:

The answer is

10 units

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (-7,-6) and B (1,0)

The distance between them is

\( |AB| = \sqrt{( { - 7 - 1})^{2} + ({ - 6 - 0})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ({ - 6})^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \)

We have the final answer as

10 units

Hope this helps you

Can I please get help with these math problems? Thanks !

Can I please get help with these math problems? Thanks !
Can I please get help with these math problems? Thanks !

Answers

Answer:

1= 240. 2= 1800

girl I suck at this but basically I just multiplied the base and the width then i multiplied the height bye the product of the base and width!

Please Dont Get Mad If Its Wrong.

At colleges in Jacksonville, do tennis coaches generally get paid more than football coaches?

Answers

It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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...................................................................

...................................................................

Answers

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

I need help with this!

I need help with this!

Answers

The length AC in the kite is 8.7 cm.

How to find the side AC in the kite?

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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2.3 x 10^4 x 6.7 x 10^3 divide by
5 x 10-^8

Answers

Answer:

0.3082

Step-by-step explanation:

Which of the following are supplementary exterior angles?

Which of the following are supplementary exterior angles?

Answers

The supplementary exterior angles is <H and <E

What is a supplementary angle?

You should be aware that two angles are supplementary to each other if they add up to 180 degrees

Also, exterior angles are angles outside an a polygon

From the diagram, we should understand that <x = <H

<G = <W but <W+<H = 180     supplementary angles

Whereas <x is interior, <W is exterior

Also, <Y+<F = <Z+<E

But; <E +<F =180

Therefore <E and <H are supplementary and both are exterior angles

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Someone please help and thank you:)

Someone please help and thank you:)

Answers

Answer:

12

Step-by-step explanation:

I think your answer would be c)12

What is the value of x?
D
(2x)
E R
(4x + 10)
V
700

What is the value of x?D(2x)E R(4x + 10)V700

Answers

Step-by-step explanation:

180° = 2x + 70 + 4x + 10

180° = 2x + 4x + 70 + 10

180° = 6x+ 80

180 - 80 = 6x

100 = 6x

6x = 100

x = 16.66

x ≈ 17°

If f(x)= 1/sqr x and g(x)= 1-x^2, find f(g(x)). pls help i’ll rate brainliest

If f(x)= 1/sqr x and g(x)= 1-x^2, find f(g(x)). pls help ill rate brainliest

Answers

Answer:

The choice b.

\(f(g(x)) = \frac{1}{ \sqrt{1 - {x}^{2} } } \)

I hope I helped you^_^

$5,000 is invested at a rate of 7% compounded monthly. Determine the final balance after 5 years.

Answers

Answer:11,256

Step-by-step explanation:

What I Know (Pre-Test)

Click the pin


I am still grade 5

Okay I ned high age so I can get in Brainly ph

Dis is my 3/5 account

What I Know (Pre-Test)Click the pin I am still grade 5Okay I ned high age so I can get in Brainly ph

Answers

Answer:

1. 1/7 x 7/1= 1

2. 5/9 x 9/5= 1

3. 23/11 x 11/23= 1

4.  13/61 x 61/13= 1

5. 8/9 x 9/8= 1

Explanation:

when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.

Given the circle below with chords FG and HI. Find the length of FJ. Round to the nearest tenth if necessary. 9-4 H 21 F J 26 25 G T​

Answers

Based on the information, EFH and GHF does not have to be congruent.

What are congruent angles?

Congruents angles are presented in the figure below. Congruent angles are angles that have the same measure or size. When two angles are congruent, they look exactly the same, even if they are in different orientations.

The symbol used to represent congruence is an equals sign with a tilde above it, like this: ≅. For example, if angle A and angle B have the same measure, we can write it as:

angle A ≅ angle B

Congruent angles play an important role in geometry because they allow us to compare and analyze different shapes and figures. In particular, when two angles are congruent, we can use this fact to make conclusions about other angles and sides of a shape.

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In circle O shown, points E, F, G, and H lie on the circle asshown and chords FH and GE intersect at J. Based on thisinformation alone, which two angles below do not have tobe congruent?m(1) angle FJE and angle HJG(2) angle EFH and angle HGE(3) angle EFH and angle GHF(4) angle FEG and angle FHG

Given the circle below with chords FG and HI. Find the length of FJ. Round to the nearest tenth if necessary.

What expression is equivalent to 1/3(4x + 9) + 5x?

Answers

Answer:

19/3x+3 or 6 1/3x+3

Step-by-step explanation:

lets simplify:

1/3(4x+9)+5x.

distribute 1/3 :

4/3x+3+5x

add x together:

4/3x+5x=19/3=6 1/3.

final answer:

19/3+3

finding angle measures between intersecting lines.

finding angle measures between intersecting lines.

Answers

Answer: x=45°

Step-by-step explanation:

Angles opposite from each other are equal. The angle 160 degrees in red on the bottom encompasses two angles: BEG and CEG. Angle BEG is on the opposite side as FEA which means it is equal to x.

Since angle FED on the other side is 115, you subtract 115 from 160 to get 45 degrees.

Answer: x=45°

The angle BEG, which is opposite to the angle FEA, is determined to be 45 degrees.

According to the information provided, in a figure with an angle of 160 degrees (red angle on the bottom), there are two angles labeled as BEG and CEG. It is stated that the angle BEG is opposite to the angle FEA, making them equal, so we can represent this angle as x.

Additionally, it is mentioned that the angle FED on the other side measures 115 degrees.

To find the value of x, we subtract 115 degrees from the angle of 160 degrees.
=160-115
= 45

Thus, the solution is x = 45°.

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Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks

Answers

I think so that the answer is -48828125

A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?

Answers

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250


PLEASE HELP!!!!!!
The box plot displays the number of flowers planted in a town last summer.
10
Flowers Planted In Town
13 14 15 16 17 18 19 20 21 22 23 24
Number of Flowers
Which of the following is the best measure of center for the data shown, and what is that value?
O The mean is the best measure of center and equals 12.
O The mean is the best measure of center and equals 10.
The median is the best measure of center and equals 12.
30 31
The median is the best measure of center and equals 10.

Answers

The  best measure of center for the data shown is the median, and its value is 17.

The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:

10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Since the data set has an odd number of values, the median is the middle value, which in this case is 17.

Therefore, the best measure of center for the data shown is the median, and its value is 17.

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Adding integers with integer tiles


For addition, drag tiles onto the board. To form a group, place one tile on top of another

Use the integer tiles to find the sum of 4 and -5
A. 9
B. 1
C. -1
D. -9

Adding integers with integer tiles For addition, drag tiles onto the board. To form a group, place one

Answers

C.) -1.
Explanation: 4 + -5 = -1. When you have a negative number plus a positive you subtract. Then take the highest numbers positive or negative symbol. Hope that helps.

Answer:

C) -1

Step-by-step explanation:

I took the assignment

PLS HELP❗️❗️❗️❗️❗️❗️.

PLS HELP.

Answers

Answer:

9(p-2)(p-4)

Step-by-step explanation:

PLS HELP.

A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work

Answers

The difference in volume between the two boxes would be = 156in³

How to calculate the difference in volume between the boxes?

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Check each equation whose graph is the line that
contains the points (4, -7) and (1,5).
y=-4x + 9
y=-4x – 23
y-1 =-4(X-5)
y + 7 = -4(x – 4)
4x + y = 9
DONE

Check each equation whose graph is the line thatcontains the points (4, -7) and (1,5).y=-4x + 9y=-4x

Answers

Answer:

Points P ( 4 , - 7 ) and  Q ( 1 , 5 ) belong to the equations:

1  ;  4  ;  and  5

Step-by-step explanation:

Equations 1 ; 4 and 5 are the same equation

Equation 1    y  =  - 4*x + 9

Equation 4

y + 7 = - 4 * ( x - 4 )   ⇒  y + 7  = - 4*x + 16   ⇒ y = - 4*x - 7 + 16

y = -4*x + 9

Equation 5

4*x + y = 9    ⇒ y = - 4*x + 9

Now for the equation y = - 4*x + 9

P ( 4 , -7)

For x = 4    y = - 4*(4) + 9     ⇒  y = - 16 +  9    ⇒  y = - 7

Then point P is in the line  y = - 4*x + 9

Point Q (1 , 5 )

For x = 1    y = - 4 * ( 1) + 9     ⇒  y = - 4 + 9    ⇒  y = 5

Point Q is in the line y = - 4*x + 9

Equation 2

y = - 4*x - 23

Point P ( 4 , - 7 )

For x = 4       y  = 16 - 23   y  = - 7

Point P is in the line

Point Q

For x = 1     y = - 4 *(1) - 23      ⇒   y = - 27

Then poin Q is not in the line

Equation 3

y - 1 = - 4 * ( x - 4 )

y  - 1 =  -4*x + 16    ⇒   y  = - 4*x + 17

Point P ( 4 , - 7 )

For x = 4

y = - 16 + 17   ⇒ y = 1    

Point P is not in the line

And Point Q ( 1 , 5 )

For  x = 1

y = - 4* ( 1 ) + 17    ⇒  y  = 13    Q is not in the line

Answer:

1 4 5

Step-by-step explanation:

jus took the test

Suppose you bring 100 pounds of groceries into your home each week. Please estimate how many pounds of each type of waste (plastic, paper, glass, metal, food, other) leaves your home from this (think about all the components of your groceries, not just food). Does this add up to 100 pounds? Why or why not?

Answers

Answer:

The answer is below

Step-by-step explanation:

We have a weekly amount of 100 pounds, you ask us if the waste would be 100 pounds in the same way.

We can say that more information is needed to estimate the waste that leaves the house. In the case that 100 pounds would come out, we consider that dry and wet waste have a distribution of 50-50%, 50 pounds of dry waste and 50 pounds of wet waste will leave the house.

If not, we wouldn't know how much could come out. since there are other factors that could influence it to be a greater or lesser quantity, in the case of a greater quantity of waste that is consumed outside the home and in the case of less, it is that the food is not consumed in its entirety.

what is the meaning of decimal explain

Answers

Answer:

ddecimal is a fraction

Step-by-step explanation:

Oh a decimal is a fraction written in a special form

For each equation in the table, determine whether the solution for x is one or two rational numbers.

Mark “One” if the equation has one rational solution, and “Two” if the equation has two rational solutions.

For each equation in the table, determine whether the solution for x is one or two rational numbers.Mark

Answers

Answer:

    See attached

Step-by-step explanation:

In general, equations with even powers of the variable will have two real roots. Here, the exception is x² = 0, which has only x = 0 as a solution. The reason for this is that an even power of a negative number is the same value as that even power of its opposite.

  x² = 1   ⇒   x = ±1

  x² = 16   ⇒   x = ±4

Equations with odd powers of the variable will have one real root.

__

The roots will be rational if the numerical value in the equation is the required power of a rational number. For example,

  x³ = 1/27   ⇒   x = 1/3 . . . . a rational root

  x³ = 1/26   ⇒   x = 1/∛26 . . . . an irrational root

_____

Additional comment

The Fundamental Theorem of Algebra tells us the total number of roots in complex numbers is equal to the degree of the polynomial. In this problem, we're concerned with real, rational roots, so the fact that each of these cubic equations has two more irrational complex roots is not relevant.

In the case of x²=0, the two roots are ±0, which is "zero, with multiplicity 2." In our answer here, we have elected to call this one solution, as the two solutions are not distinct.

For each equation in the table, determine whether the solution for x is one or two rational numbers.Mark

If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest

Answers

Answer:

yes

Step-by-step explanation:

I need help on these questions

I need help on these questions

Answers

I'm using examples to show

9

a) Let,

First odd number = 5

Second consecutive odd number = 7

Sum = 5 + 7 = 12. Which is divisible by 4

b) Let the numbers be same as above

(5)² + (7)²

25 + 49

74. Which is not divisible by 4

10) Maisy is wrong because 2 has no common factor except 1 and 2. And we know that 2 is an even number and it is also a prime number

11)

a) Let,

First integer = 5

Second integer = 7

Sum = 5 + 7 = 12.

Since the sum is even but the integers are odd.

b) Let,

Integer = 8

(8)² = 64. which is divisible by 4 and 8 is also divisible by 4

12)

Let,

a = -8

b = 8

a² = (-8)² = 64

b² = (8)² = 64

a² = b²

But, a ≠ b

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