find the prime factorization of 405

Answers

Answer 1

Answer:

The factorisation of 405

405 = 5x3x3x3x3

Find The Prime Factorization Of 405
Answer 2

Answer:

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Step-by-step explanation:

I'll factor 405 with the Factor Tree Method.

Step 1: Place the number 405 on top of the factor tree.

Step 2: Notice that 405 can be divided by 5 -> 405 = 5 x 81. The two branches from 405 become 5 and 81.

Step 3: Continue factorizing other numbers in the tree until you are left only with the prime factors, which you cannot further factorize.

Step 4: Write the number as the product of prime factors you got.

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Find The Prime Factorization Of 405

Related Questions

A​ girls' softball team is raising money for uniforms and travel expenses. They are selling flats of bedding plants for ​$12.00 and hanging baskets for ​$27.00. They hope to sell three times as many flats of bedding plants as hanging baskets. If they​ do, their total revenue will be ​$6300. How many flats of bedding plants do they hope to​ sell?

Answers

300.
Steps:
27x100 = 2700
12x300=3600
3600+2700=6300

In January 2020 oil price was $1251 but in April 2020 the price was $1902. What is the percent increase or decrease.

Write your answer without the % to the nearest tenths

Answers

I’m pretty sure it is a percent increase of 152% or 1.5

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold? startlayout enlarged left-brace 1st row y = startfraction x over 2 endfraction 2nd row y = negative 0.03 (x minus 95) squared 550 $0.03 $0.50 $0.95 $2.00

Answers

The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

Profit = income - cost

Given that the linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hencee:

Price of each comb = (x/2) / x = 0.5

The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs

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Answer:

$0.50

Step-by-step explanation:

The answer above is correct.

This is about to be due in 10 mins.

Find the area:

Answers

The area of the composite figure in the given diagram is calculated as: 152 square inches.

What is the Area of a Composite Figure?

The area of a composite figure is gotten by decomposing the figure into known shapes and finding the area of each of the shapes.

The area of the figure = area of bigger rectangle + area of smaller rectangle = lw + lw

The area of the figure = (20)(6) + (8)(4)

The area of the figure = 152 in.²

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PLEASe help 30POINTS

What is the length of segment AB ?

Answers

Answer:

[tex]\sqrt{74}[/tex]

Step-by-step explanation:

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(2,-6)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(7,1)[/tex]

[tex]d=\textsf{length of segment AB}[/tex]

Substituting points into the distance formula and solving for d:

[tex]\implies d=\sqrt{(7-2)^2+(1-(-6))^2}[/tex]

[tex]\implies d=\sqrt{5^2+7^2}[/tex]

[tex]\implies d=\sqrt{25+49}[/tex]

[tex]\implies d=\sqrt{74}[/tex]

LENGTH

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad\qquad \qquad \huge \bold{\sqrt{74} }[/tex]

================================

[tex] \large \sf \underline{Solution:}[/tex]

Solving;

[tex] \sf{D=\sqrt{(7-2)^2+(1-(-6))^2}}[/tex]

[tex] \sf{D=\sqrt{5^2+7^2}}[/tex]

[tex] \sf{D=\sqrt{25+49}}[/tex]

[tex] \sf \underline {\pmb{D=\sqrt{74}}}[/tex]

Hence, the length of segment AB is 74.

================================

A square pyramid with a side length of 5 cm and a slant height 7 cm has a total surface area of ...?

Answers

Step-by-step explanation:

there are two types of collective internal and external

Please graph y=log3(x+2) and then find the asymptote domain and range​

Answers

Answer:

Step-by-step explanation:

y = a * log_b (x - h) + k

(h,k) = (x,y)

h = shift right/left

k = shift up/down

Original Points of y = log_3

y = log_3 (x + 2)

h = -2 thus shift left.

Asymptote: x = -2
Domain: [-2 , +inf)

Range: (-inf , +inf)

A ladder that is 5 meters long is leaning against a wall. The vertical height from the base of the wall to the top of the ladder is 3 meters. If ∠θ is the angle that the ladder makes with the ground, what is the approximate measure of ∠θ?

Answers

The approximate angle that the ladder makes with the ground is 37 degrees

Angle of elevation

The given question will be solved using the SOH CAH TOA identity.

The given statement will form a right triangle with the following parameters

Hypotenuse = 5m

Height(opposite) .= 3m

Determine the approximate measure of ∠θ

sin ∠θ = opp/hyp
sin ∠θ = 3/5
sin ∠θ = 0.6
∠θ = arcsin(0.6)
∠θ = 37degrees

Hence the approximate angle that the ladder makes with the ground is 37 degrees

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Factor completely.
5x² + 25x + 20 =

Answers

Answer: 5(x + 1)(x + 4)

Step-by-step explanation Tell me if it is wrong

I have this question and I can’t figure it out.

Answers

Answer:

-1. 7,-1,0,2,-2

Step-by-step explanation:

Intergers are from negative to positive numbers

You are a contestant on a game show called “Bargain or No Bargain.” You are presented with three briefcases, which contain rewards of $700,000, $1,000, and $100. The host of the show says you can either open one random case and keep the amount inside, or you can accept a guaranteed award of $240,000. What is the mathematically correct decision, and why?

A.
Take the $240,000, because it is greater than the expected value of the briefcases.
B.
Choose a briefcase, because the expected value is greater than $240,000.
C.
Choose a briefcase, because the expected value is less than $240,000.
D.
Take the $240,000, because it is less than the expected value of the briefcases.

Answers

b i think i’m not 100%

3 questions, worth a lot of points

Answers

Why were the Jews victims of genocide during World War II?

Bankers for the previous corrupt German government had been mostly from Jewish families.

Many Germans believed that Jews had masterminded the Russian communist revolution.

Many believed that the Jews were planning to take control of the German parliament.d masterminded the Russian communist revolution.

The German government was determined to eliminate all non-Christians from German soil.

Shawna says her mug holds 100 milliliters.
Shelly says that the mug holds 1 liter.
Is Shelly correct?

Answers

Answer:

In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no

b. Calculate the monthly payments and total payment you will be making on your loan if you do use the $5,000 to make an initial payment. Monthly Payment: Total Amount Paid:

Answers

Answer:

Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō.     When the winter chrysanthemums go,there’s nothing to write about     but radishes.What common concern do these poems share?

Step-by-step explanation:

Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō.     When the winter chrysanthemums go,there’s nothing to write about     but radishes.What common concern do these poems share?

solve for x. Show each step of the solution x/16 = 3/8

Answers

Answer:

x = 6

Step-by-step explanation:

x/16 = 3/8

Step 1: Cross-multiply.

x/16 = 3/8

x*(8) = (3)*(16)

8x = 48

Step 2: Divide both sides by 8.

8x/8 = 48/8

*Ta da!*

x = 6

- Have a great day! -

What is the volume of this figure? ​

Answers

Answer:

4,105 yd cubed

Step-by-step explanation:

This can be divided into three rectangular prisms, one of which is constructed from triangular prisms

19*9*10 = 1,170 yd

30*9*7 = 1,890 yd

10*5.5*9 = 1,045 yd

Adding them all together gets

4,105 yd cubed

Petra is making bread. She puts 4 1/2
cups of flour in a bowl. Her sister Leslie is watching and tells Petra that she needs to remove 3/4
cup of flour, which Petra does.

The amount of flour left in the bowl is(blank) Response area cups.
A:2 1/8
B: 2 1/4
C:3 1/4
D:3 3/4

Answers

Answer:

B

is the write I think ......!

A board 120inches long is divide into 2 sections. If the ratio of the 2 sections. 3:5 Wht are the lengths of the section

Answers

Answer:

45, 75

Step-by-step explanation:

3+5 = 8

120 / 8 = 15

15 x 3 = 45

15 x 5 = 75

Answer:

45,75

3+5 = 8

120 / 8 = 15

15 x 3 = 45

15 x 5 = 75

Step-by-step explanation:

have a great day!

Find a time where the hour and minute hand are 40 degrees apart.

Answers

Answer:

At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5

Calculus, factor the given polynomial.

Answers

Answer:

( x-7) (x-9)

Step-by-step explanation:

x^2 -16x+63

What are the possible number that multiply to 63 and add to -16

-9 * -7 = 63

-9+-7 = -16

( x-7) (x-9)

(X-7)(x-9) are the factors for the polynomial

Joe thinks the area to be pantries on wall 2is 84 square feet.

Answers

Please put a picture next time :)

please help before 11 pm
B=?

Answers

Answer:

155.24

Step-by-step explanation:

[tex]\text{Apply sine rule,}\\\\~~~~~~~~\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}\\\\\\\implies \dfrac{b }{\sin B} = \dfrac{c}{ \sin C}\\\\\\\implies b = \dfrac{c \cdot \sin B}{\sin C}\\\\\\\implies b = \dfrac{197\sin 52^\circ}{\sin 51^{\circ}}~~~~~~~~~;\left[\angle C = 180^{\circ} - 77^{\circ} -52^{\circ} = 51^{\circ} \right]\\\\\\\implies b \approx 200[/tex]

A school nutritionist wanted to Determine which type of lunch was most popular to do this she kept track of the number of each top of lunch sold to the students in one day how many more burger lunches than chicken lunches for salt

Answers

A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy chicken is 260.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the number of students to the number of total students can be written as,

Ratio = (Number of students)/(Number of total students)

Ratio = 52/(52+26+30+48+44) = 52/200

Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,

Number of students who prefer burgers= 1000 × (52/200) = 260

Hence, the number of students the cafeteria should expect to buy chicken is 260.

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PLS HELP ME ASAP I NEED HELP RN PLS WHOEVER ANSWERS IS THE BRAINLIEST
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?

Answers

Answer:

100

Step-by-step explanation:

She wants to average 85, so adding ALL three of her scores, divided by 3 needs to equal 85.

(75 + 80 + x)/3 = 85

Times by 3.

75 + 80 + x = 255

155 + x = 255

subtract 155.

x = 100

She needs 100 on the third test.

Which system of equations is represented in the graph? I could really use some help!

Answers

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

Flying with the wind, a plane flew 1,200 mi in 4 h. Against the wind, the plane required 6 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.

Answers

Answer:

Rate of plane = 250 mph

Rate of wind = 50 mph

Step-by-step explanation:

Let the speed of the plane in calm air be x mph& speed of the wind be y mphSpeed of plane with wind = (x + y) mphSpeed of plane against wind = (x - y) mphFormula relating speed, time and distance is given as: speed*time = distanceAccording to the first condition: (x+y)*4 = 1200-> x + y = 300 (1)According to the second condition: (x-y)*6= 1200-> x - y = 200 (2)Adding equations (1) & (2), we find:2x = 500-> x = 250 (Dividing 500 by 2)-> y = 50 (Plugging x = 250 in eq 1)Rate of plane = 250 mphRate of wind = 50 mph

Given the sequence defined by $a_n = 48 - 3n$, find all possible values of $k$ so that \[a_1 + a_2 + a_3 + \cdots + a_k = 330.\]

Answers

Answer:

  k = 11  or  20

Step-by-step explanation:

The sum of terms of an arithmetic sequence is given by ...

  Sn = (a1 +an)(n/2)

We want to find the value of n for a particular series to have a particular sum.

__

parameters

The series of interest is defined by ...

  an = 48 -3n

so, the first term is ...

  a1 = 48 -3(1) = 45

The k-th term is ...

  ak = 48 -3k

__

sum

Then the sum is ...

  Sk = (45 +(48 -3k))(k/2)

We want this value to be 330, so we have ...

  330 = (93 -3k)(k/2)

__

solution

  220 = (31 -k)k . . . . . . . . multiply by 2/3

  k² -31k +220 = 0 . . . . . in standard form

We want factors of 220 that total 31.

  220 = (1)(220) = (2)(110) = (4)(55) = (5)(44) = (10)(22) = (11)(20)

The last of these pairs totals 31, so we have ...

  (k -11)(k -20) = 0 . . . . . factored form of the equation

  k = 11  or  k = 20 . . . . . values of k that make the factors zero

Possible values of k are 11 and 20.

Answer the question below please (file attached) 50 POINTS

Answers

Answer:

They bought 6 vanilla wafers and 21 chocolate, they add up to 27.

x = amount of vanilla wafers

y = amount of chocolate wafers.

4x+y = 45

x+y= 27

Step-by-step explanation:

x = amount of vanilla wafers

y = amount of chocolate wafers

Vanilla wafers = 4$ each

Chocolate wafers = 1$ each.

So, 4x+y = 45 and x+y= 27 because they spent 47$ on 27 packs.

With both equations we can substitute.

1. Change one equation so one variable is on one side

x+y = 27 to y = 27-x

2. Substitute the variable from the other equation.

4x+y = 45 to 4x+27-x = 45

3. Solve the equation for x.

4x+27-x = 45

3x+27 = 45

3x = 18

x = 6 (amount of vanilla wafers)

4. substitute with equation.

y = 27-x to y = 27-6

5. Solve the equation for y.

y = 27-6

y = 21 (amount of chocolate wafers)

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?

PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING

Answers

Answer:

2880

Step-by-step explanation:

V=whl=12·12·20=2880

PLS HELP QUICKLY

Data was collected at a pool. It showed that being older does not imply that a swimmer will stay for a shorter or longer amount of time. What is likely true?


There is no correlation between age and length of stay.

There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.

There is a correlation between age and length of stay. However, there is no causation. This is because there is likely an increase in the length of stay with a decrease in age.

Answers

The true statement is there is no correlation between age and length of stay.

What is correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.

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