Write 2 x 8 x 64 in index notation with the smallest base.

Answers

Answer 1

Answer:

Step-by-step explanation:

Prime factorize 8 and 64

8 = 2* 2 * 2 = 2³

64 = 2*2*2 *2*2*2 = 2⁶

2*8*64 = 2* 2³ *2⁶ = 2¹⁺³⁺⁶ = 2¹⁰

In exponent multiplication, if base are same, then add the exponents.


Related Questions

hello I’m new here ! But I’m having trouble understanding how my teacher factored out the A from a-a(1.2^4)? And made it to A(1-1.2^4)?

I attached a picture !

Thank you everyone :)


Answers

This is the distributive property:

ab + ac = a (b + c)

In this case, you have

a - a (1.2⁴)

and a is a common factor to both a and a (1.2)⁴, so you can pull it out as

a (1 - 1.2⁴)

Jac is reading this paragraph from The Code Book. Mathematicians have been studying factoring for centuries, and modern factoring techniques are not significantly better than ancient techniques. Indeed, it could be that the laws of mathematics forbid the existence of a significant shortcut for factoring. Which question will best help Jac apply the reading to his own life

Answers

Answer:

The answer is "What is important for me to understand?".

Step-by-step explanation:

It is because it is based also on the conclusion that the word in the text read the Jac can draw. Essentially, the particular excerpt read by Jac in his coding book explains that, whether old or new, all older techniques used in the past, compared with the new factorization methods, in truth all shortcuts in mathematics are not feasible and hence all steps have to occur. This implies Jac has to discover what really is important, what he must comprehend, and whether whatever tactics he is using are old and new. The same would be valid of life itself; irrespective of how he chooses to live his life, there are times where shortcuts cannot be used.

HELP ME I HAVE ONLY TODAY LEF TFOR SCHOOL PLS!!!!!
Suppose yogurt is on sale for $0.85 a piece, and you have a coupon for $0.99 off your total purchase. Write a function rule for the cost oh N yogurts. How much would 15 yogurts cost?

A: C(n) = $0.99n - $0.85; $14.00
B: C(n) = $0.85n - $0.99; $11.76
C: C(n) = $0.85n; $12.75
D: C(n) = $0.99n; $14.85

Answers

Answer:

B

Step-by-step explanation:

n is how many you buy times the price of $0.85 and then you subtract a coupon for $0.99 for the entire purchase.

Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?
270 degrees counterclockwise rotation
90 degrees counterclockwise rotation
90 degrees clockwise rotation
180 degrees rotation

Answers

it's a 90 degree counterclockwise rotation around the origin (0,0).

see the screenshot for illustration

Answer:

B.

Step-by-step explanation:

Find the measure of the missing angle using the triangle angle sum theorem

Answers

Answer:

m∠60

Step-by-step explanation:

30 + 90 = 120

180-120=60

Answer:

x = 60°

Step-by-step explanation:

A triangle is equal to 180°

Make an equation and solve:

30° + 90° + x = 180°

120° + x = 180°

x = 180° - 120°

x = 60°

Re-write the following expression using ADDITION ONLY:
12- 3+16 - 37 - (-20)

Answers

12- 3+16 - 37 - (-20)
=9+16-37-(-20)
=25-37-(-20)
=-12-(-20)
=8
(therefore ur answer would be 8)

Answer:

12- 3+16 - 37 -( 20)

=8

Step-by-step explanation:

Two negatives are a positive , this really helps

Plss Answer!!!!!!!!!​

Answers

Answer:

Ecosystem: Trees

Ways to protect are as follows:-

Control over Forest FireDon't waste paper. Plant a tree

Which expression can be used to find the difference of the polynomials?

(10m – 6) – (7m – 4)

Answers

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

Two men p and q set off from a base camp r prospecting for o,p moves 40km on a bearing 205 degree and q moves 30km on a bearing of 060 degree
a. Find the distance of q from p
b. The bearing of q from p​

Answers

Answer:

(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°

= 400+225−600cos145°

= 625+600×0.8192

= 491.52+625

/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41

≊33km ( to the nearest whole number)

(b) By sine rule,

sin<QPR15=sin14533.41

sin<QPR=15sin14533.41

sin<QPR=15×0.573633.41=0.2575

<QPR=14.92°

∴ Bearing of Q from P = 25° + 14.92° = 39.92°.

≊40° (to nearest whole number)

Step-by-step explanation:

hope it helps

...

pleasee help me,A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train

Answers

i think it may be that the train is going too fast zoom km 1600 km at the end

Plot point C in GeoGebra to verify that it indeed lies on AB. You can enter the coordinates in the Input window to plot the point . Also , verify the distances you calculated in question 3 using GeoGebra . Take a screenshot showing the distances displayed by GeoGebra , and paste it below .

Answers

Answer:

The picture of file

Step-by-step explanation:

Your'e welcome

There are 90 penguins in a zoo. There are two types- Humboldt and Emperor. 52 are female, of these 6 are Emperor penguins. There are 5 male Emperor penguins. Use this information to complete the frequency tree.

Answers

Answer:

Total number of penguins = 90Female penguins = 52Male penguins = 90 - 52 = 38Female Emperor penguins = 6Female Humboldt penguins = 52 - 6 = 46Male Emperor penguins = 5Male Humboldt penguins = 33

A local charity earns money to donate to flood victims. It receives $200 per day in cash donations and $150 in pledges. Its operating costs are $75 per day. After how many days will the charity have enough money to make a donation of at least $1000?

Answers

Answer:

4 days at least

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were 4605 no votes, what was the total number of votes?

I need it by tonight for a pop quiz tomorrow

Answers

Answer:

Try to do it yourself, since you have a test tomorrow

Good luck

Step-by-step explanation:

5: 4605

13 (8+5):

[tex] \frac{4605}{5} \times 13 = [/tex]

=Your answer

true or false? A circle could be circumscribed about the quadrilateral below.

Answers

Answer: the answer is true

Answer:

false

Step-by-step explanation:

here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed

Simplify (square root)2/^3(square root)2

A. 2^1/6

B. 2^1/3

C. 2^5/6

D. 2^3/2

Answers

Answer: Personally I would do option "B" 2 1/3 because it sounds right.

How many triangles are there in the picture?

Answers

five I think I am not sure

can you please help me with number 4 please?

Answers

Where the two Lines intersect and or meet

Find the greatest number such that; x360y is divisible by 24
WILL GIVE BRAINIEST, NEED ANSWER ASAP

Answers

Answer:

93600

Step-by-step explanation:

24=3*2*2*2

y=0,8

1) x3600, then x=9,6,3

2)x3608, then x=1,4,7

9 is the largest so the final answer is 93600

What fraction of a circle does an arc measure of 30 degrees encompass?


1/12


1/4


1/6


1/3

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

A full circle consists of 360°, so we can write the fraction of this arc as [tex]\frac{30}{360}[/tex], which can be simplified to [tex]\frac{1}{12}[/tex] by dividing the numerator and denominator by 30.

**This content involves simplifying fractions and knowledge on the angle sum of a circle which you may wish to revise. I'm always happy to help!

A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient

Answers

Answer:

-3/4

Step-by-step explanation:

The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]

Hence the slope of the line is -3/4 .

Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50. Please help ASAP!!!!

Answers

Answer:

what is the question you are only telling us the fact

Step-by-step explanation:

In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of ∆BEF = area of ∆ CDE​

Answers

Answer:

In parallelogram ABCD any point E is taken on the side BC . AE and DC when produced to meet at a point M . Prove that ar(ADM) = ar(ABMC) .

wow vvvvvvvvvvvvvvbbbbbb

If a car is moving on a straight line with a velocity of 40 m/s and it changes its velocity to 60 m/s in 4 seconds, calculate its acceleration.

Answers

Answer:

5m/s²

Step-by-step explanation:

Given :-

Initial Velocity = 40m/s Final velocity = 60 m/sTime = 4s

To Find :-

The acceleration .

Solution :-

We know that the rate of change of velocity is called acceleration. Therefore ,

[tex]\sf\implies a = v - u / t \\ [/tex]

[tex]\sf\implies a = 60m/s - 40m/s/ 4 \\ [/tex]

[tex]\sf\implies a = 20m/s \div 4 \\[/tex]

[tex]\bf\implies a = 5m/s^2[/tex]

The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?

Answers

Step-by-step explanation: X=10 DEGREES FOR THE SMALLER ANGLE. 8*10=80 DEGREES FOR THE LARGER ANGLE.

Answer:it’s 20 and 160 I’m doing ixl and this was the correct answer.

Step-by-step explanation:

LAST QUESTION SOMEONE HELP PLEASE QUICK

Answers

Answer:

27%

Step-by-step explanation:

Answer:

p(j)=27% is correct answer

If the volume of a given cube is 729 cubic inches, what is the surface area of the
cube?
486 sq.inches
230 sq.inches
120 sq.inches
222 sq.inches

Answers

Answer:

SA = 486

Step-by-step explanation:

Its a cube. s = side length

V = [tex]s^{3}[/tex]

729 = [tex]s^{3}[/tex]

take cube root of each side : [tex]\sqrt[3]{729}[/tex] = 9

so,  s = 9

Surface Area of a cube

SA = 6[tex]s^{2}[/tex]

SA = 6([tex]9^{2}[/tex])

SA = 6(81)

SA = 486

The surface area of the cube is 486 square inches. The correct option is A.

To find the surface area of a cube, we need to use the formula:

Surface Area = 6 x (side length)²

Given that the volume of the cube is 729 cubic inches, we can determine the side length of the cube using the formula for volume:

Volume = (side length)³

729 = (side length)³

Taking the cube root of both sides:

side length = ∛(729) = 9 inches

Now, we can substitute the side length into the surface area formula:

Surface Area = 6 x (9 inches)² = 6 x 81 = 486 square inches

Therefore, the surface area of the cube is 486 square inches.

To know more about the surface area of a cube follow

https://brainly.in/question/35343178

#SPJ2

Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicatedvalue of x to be less than 0.0001.

Answers

Answer:

Fifth degree polynomial

Step-by-step explanation:

Given data:

e^0.3

error = 0.0001

let the function ; f(x) = e^x

note : x = 0.3

The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2!  + x^3/3!  ---  + ∑ x^n/n!

= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- +  ∑ (0.3)^n/n!

Attached below is the remaining part of the solution

1. Slope and the properties of perpendicular and parallel can be used to confirm that a polygon is a specific type of
quadrilateral.

What types of quadrilaterals can you determine by using these properties? List at least two types of quadrilaterals.

2. Choose one type of quadrilateral from your answer to Question 1. Explain in complete sentences how you can use
properties of perpendicular and parallel lines, together with slope, to confirm that a given polygon is the type of
quadrilateral you chose. Be sure to clearly state the properties that you need to use.

Please number your responses to the questions as they are shown (1 and 2).
NOTE from Ms. Kliban:
I found this answer on the Internet. *If it were an original answer, below is how I would grade it and why

1. The two would be rectangle and trapezium

2. You can determine with the properties that are given, that it's a polygon because with the slope already known that gives
a in to see which lines are perpendicular to which lines and which aren't. Also, with the properties you can tell if everything
Is parallel lines with the slope formula. Some slopes might be different but doesn't mean the polygon Isn't perpendicular
because two sides can have the same slope and the other two won't

GRADE: First off, in the United States, we don't use the word "trapezlum."
For part 2, it says, you can determine with the properties that are given." What properties? There are no properties given.
There are shapes. The next thing said in part 2 is that the slope is already known. No, it's not. You have to find the slope.
PLEASE HELP!!!!! 70 points !!!!

The grammar is bumpy. In other words, I stumbled over it when I tried to read it.
In order to do well on this assignment, part one only needs to have two quadrilaterals stated. You don't even have to have it
In a sentence.
For part 2. you do need to use complete sentences. You need to explain how to find slope and why you need to find the
slope. Then also explain how parallel and perpendicular lines help you to make sure you have the shape you stated in part
sat

Answers

Answer: Rectangle and Trapezium

Step-by-step explanation:

If you have the slopes, then you can tell when two lines are parallel.

A rectangle has two pairs of parallel sides

A trapezium has exactly one pair of parallel sides

1.

We can determine whether a quadrilateral is a rectangle or a trapezium using the slope and the properties of parallel and perpendicular lines.

2. How are the slopes of perpendicular sides related?

Product of the slopes of perpendicular lines = -1.

M₁ * M₂ = -1 .

How are the slopes of parallel sides related?

Slopes of parallel lines are equal.

M₁ = M₂.

How do we determine a rectangle?

Suppose we have a quadrilateral ABCD.

AB and CD are one pair of opposite sides.

BC and DA are another pair of opposite sides.

AB is adjacent to BC. BC is adjacent to CD. CD is adjacent to DA. DA is adjacent to AB.

Slope AB = M₁

Slope BC = M₂

Slope CD = M₃

Slope DA = M₄

For ABCD to be a rectangle, by properties opposite sides need to be parallel and adjacent sides need to be perpendicular.

∴ If M₁ = M₃, M₂ = M₄ (for opposite sides to be parallel)

and if M₁.M₂ = -1, M₂.M₃ = -1, M₃.M₄ = -1, and M₄.M₁ = -1 (for adjacent sides to be perpendicular) then the given quadrilateral ABCD is a rectangle.

Learn more about quadrilaterals, the slope of parallel lines, and the slope of perpendicular lines at

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https://brainly.com/question/26172639

https://brainly.com/question/1362601

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Which property of math is the young student learning with the following equation? 3 x (4 + 7) = (3 x 4) + (3 x 7)

Answers

The property of math they are learning is the distributive property

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