(a) Express each of these numbers as a
product of its prime factors in index
notation.
(i) 12
(ii) 144
(iii) 5040​

Answers

Answer 1

Answer:

(i) 12 = 2 x 2 x 3 => 2² x 3¹

(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²

(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹

Step-by-step explanation:

(a) Express each of these numbers as a

product of its prime factors in index

notation.

(i) 12 = 2 x 2 x 3 => 2² x 3¹

(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²

(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹


Related Questions

what is the percent of decrease from 10 to 4​

Answers

Answer:

60% decrease i am doing decrease this year i actually just did assignment couple hours ago

Step-by-step explanation:

What is %+% Equal? My friend asked me and I didn't know what he was talking about.

Answers

the answer to your question is %%

Andy runs 873.6 meters in 124.16 seconds. If Andy runs at a constant speed, how far does he run in one second?

Answers

Answer:

about 7.04 meters

Step-by-step explanation:

873.6m/124.16sec=7.04 meters per second

Answer:

If you round, he runs 7 meters in a second.

Step-by-step explanation:

16+x=-34

Solve the equation for the value of the variable show all work help please:):)

Answers

Answer:

16+x=-34

We move all terms to the left:

16+x-(-34)=0

We add all the numbers together, and all the variables

x+50=0

We move all terms containing x to the left, all other terms to the right

x=-50

(Hope that help you out) God bless!

Answer:

x=-50

Step-by-step explanation:

16+x=-34

take away 16 from each side

x=(-34-16)

x=-50

A graduated cylinder is filled to the 20-mL mark with water. A nail with a mass of 1 g is placed into the water. The water level rises to 20.5 mL. What is the density of the nail?

Answers

D = m/v

D = 1 / .5

D = 2

I NEED THIS IMMEDIATELY!!

While at the zoo, Mohammad counted the number of sloths and meerkats he saw. After a few minutes, he counted 2 sloths and 6 meerkats. The ratio remained constant during the remainder of his dive. Use the ratio to complete the table below.

Write an equation to model this relationship, where S represents the number of sloths and M represents the number of meerkats.​

Answers

Answer:

sloths 2:6 meerkats

simplified

sloths 1:3 meerkats

1 s = 3 m

2 s = 6 m

42/3 = 14

14 s = 42 m

16 X 3 = 48

16 s = 48 m

72/3 = 24

24 s = 72 m

m = s X 3

s= m/3

3

6

14

48

24

12

Trust me its write man

What is the value of
5/6 divided by 3/4

Answers

Answer:
1 1/9
Explaintion:
answer : 1.19
explanation :

There are 8 times as many dogs as cats. If the total number of dogs and cats is 45, how many dogs are there?

Answers

Answer:

40

Step-by-step explanation:

because if there are 5 cats and then there are 8 TIMES AS CATS then its 8 * 5= 40 +5 = 45

WHY 45?

because the total of cats and dogs is 45

1.
Violet earns $54 for mowing 3 lawns. If she charges the same amount for each
lawn, how much will she earn for mowing 5 lawns?

Answers

54 divide by 3 is 18 and 18 times 5 is 90

What is the value of the expression when b= 2 and c= -3

Answers

Answer:ax^2+2x-3

Step-by-step explanation:From ax^2+bx+c=ax^2+2x+(-3)=ax^2+2x-3

Answer:

is it envision or what?????

Step-by-step explanation:

PLEASE HELP ME QUICK!!!!

Answers

Answer:

0.85

Step-by-step explanation:

0.85

[][][]

=0

=)

H0-P3 7H15 H3LP3D!

32 kilometers in 2 minutes
kilometers per minute

Answers

Answer:

16 minutes

Step-by-step explanation:

32/2=16

Answer:

16 km/min

Step-by-step explanation:

32/2 km/min = 16 km/min

Pls help due ASAP
Show workings

Answers

Answer:

x=13

Step-by-step explanation:

The 2 angles are corresponding meaning that they are equal to each other so the equation is going to be

6x-3=5x+10

step 1 add 3 to each side

6x=5x+13

step 2 subtract 5x from each side

x=13

what is the slope intercept form of the function described by this table x1,2,3,4 y-2,-6,-10,-14

Answers

Answer:

y=-4x+2

Step-by-step explanation:

Evaluate: 8*6+(12-4)/2

Answers

Answer:

Step-by-step explanation:

6*8+(12-4)/2 = 0

(12-4)/2+48 = 0

8/2+48 = 0

4+48 = 0

52 = 0

L <> R

8x6+(12-4)/2

48+8/2

48+4

answer= 52

Can someone please help me?

Answers

9514 1404 393

Answer:

  x = 26

Step-by-step explanation:

The sum of the measures of the angles in a triangle is 180°.

  (2x)° +50° +(3x)° = 180°

  5x +50 = 180 . . . . . . . divide by °, collect terms

  x +10 = 36 . . . . . . . . . divide by 5

  x = 26 . . . . . . . . . . . . . subtract 10

The Pythagorean Theorem.
∴p∵l∴e∵a∴s∵e∴h∵e∴l∵p∴
i don't understand

Answers

Answer:

I honestly don't know the answer but I'll try to help you understand the formula.

Step-by-step explanation:

for you to find the missing length of the hypotenuse you need to get your other 2 sides and multiply them by themselves/ square. After that you want to add them together. Now you have to find the square root of that total number which will be your length.

√a2+b2  

hope this somehow helps

i need help with this question

Answers

Answer:

726 ft

Step-by-step explanation:

The perimeter is the sum of the 4 sides, that is

x + x + 274 + x + 27 + x + 74 = 3279, that is

4x + 375 = 3279 ( subtract 375 from both sides )

4x = 2904 ( divide both sides by 4 )

x = 726

Shawn owns The Muffin mobile food truck. He goes home after he sells more than 200 muffins. He began the day with a big 36 muffin order! Now he's selling 24 muffins per hour. After how many complete hours can Shawn go home?

Answers

Answer:

Step-by-step explanation:

he sold 36 so lets subtract  that from the 200 so he has to sell 164 more.

Now we have to figure out what times 24 is 164

It is about 7 because 24 x 7 = 28 and if he needs to sell mORE THAN it can't be 6 so it is 7 hours.

A flower shop has 460 dozen roses. How many roses are in the flower shop?

Answers

Answer: 5,520

Step-by-step explanation:

Multiply 460 by 12. 12 is one dozen.

what is x equal in -9x+1=28

Answers

Answer:

x = -3

Step-by-step explanation:

Isolating  the variable x is the first thing you always want to do in algebric expressions

is y = 4x*
Proportional or Nonproportional?

Answers

Answer:

its proportional

Step-by-step explanation:

because its an even number comign from zero

Answer: not proportional

The population of a small town is 6800 in 2013. The population increases
by 6% annually. What was the population in 2020?

Answers

Answer:

40,800in 2020

Step-by-step explanation:

because they increase

Question:

The population of a small town is 6800 in 2013. The population increases by 6% annually. What was the population in 2020?

Answer:

47 600 in 2020

Explanation:

Mutiply 6,800 and 7 because 2013 subtract 2020 the answer is 7, the answer in 6,800 and 7 is 47 600 , dapat kapag dinivide mo sa 6% ang 47 600 ang sagot ay 6,800 dahil yun ang population kada years

#CARRYONLEARNING #STUDYWELL

How tall is the tree

Answers

Answer:

40 feet (correct me if wrong)

Step-by-step explanation:

8/12 = 2/3

x/60 = 2/3

60/3 = 20

20x2 = 40

For the expression 14-14t to have a negative​ value, what must be true about the value of t? choose the correct answer.

A.The value of t has to be less than 1.
B.The value of t has to be 0.
C.The value of t has to be greater than 1.
D.The value of t has to be negative.

Answers

Answer:

C.The value of t has to be greater than 1.

Step-by-step explanation:

You need to keep the coefficent negative, so t would have to be a ppositive number > 0

Answer:

c.the value of t has to be greater than 1

This recipe makes 10 portions of porridge.
Complete the amount of each ingredient that is needed to make just 7 portions.

Recipe: Serves 10
350 g oats
1.4 ML MILK
70 g sugar
PLEASE HELPP

Answers

Answer:

245g oats

0.98L milk

49g sugar

Step-by-step explanation:

350÷10=35

1.4÷10=0.14

70÷10=7

35×7=245

0.14×7=0.98

7×7=49

Ms. Yazzie earns $16.40 per hour at her job. She works 372 hours a week for 50 weeks a year
How much does Ms. Yazzie earn in one year at her job?
A $30,750
B $32,500
C $35,750
D $37,500
Pls answer quick

Answers

Answer:

Hi how are you doing today Jasmine

Can someone explain similar triangles

Answers

Two triangles can be similar if their corresponding angels are congruent also the corresponding sides are in proportion triangles can be the same shape but not really same size

The area of this rectangle is 32 sq cm. The width is 8 cm. What is the length of this rectangle?

Answers

Answer:

l=4cm

Step-by-step explanation:

Answer:

The length of the rectangle is 4 cm.

Step-by-step explanation:

You want to divide 32 and 8. because you want to do the inverse. l x w = a

So you want to do a/w=l

32/8=4

I need this answer following the order of operation. Please help!

Answers

Answer:

The answer to the question provided is 1.

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