Factorise the following completely: (4 marks)

a)a) 81

Answers

Answer 1

Answer:

Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers

Answer 2
Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.

Related Questions

Find the value of x. help please if you understand

Answers

Sin(x) =9/25
Sin(x)=0.36
Sin^-1 (0.36)= 21.10
x=21.10

Find the length of the cable in the diagram below.

Answers

Answer:

13.4

Step-by-step explanation:

it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.

Evaluate 12 ÷ 2 × 6.

Answers

division first
12 over 2 x 6
= 6 x 6
= 36

Answer:

[tex]36[/tex]

Step-by-step explanation:

1) Simplify 12 ÷ 2 to 6.

[tex]6 \times 6[/tex]

2) Simplify.

[tex]36[/tex]

therefor, the answer is 36.

a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.​

Answers

He made no gain

He bought 2 watches for $400
400/2=200
Each watch was $200
He gained 5% on one watch
200•1.05=210
He lost 5% on the other
200•0.95=190
210+190=400
Therefore he neither made nor lost any money

The amount of interest accrued on
a $7,000 loan with 6% interest after t years.

Answers

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

Kepa has the flu, and he is concerned that he will not pass the mathematics exam. If the following three statements are true, will Kepa pass the exam?
i) Kepa will not fail the mathematics exam if he finishes his computer program.
ii) If he goes to the theatre, he does not have the flu.
iii) If he does not go to the theatre, he will finish his computer program

Answers

Answer:

Yes

Step-by-step explanation:

II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.

Answer:

yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.

Pls help me, is for my gf

Answers

Answer:

tell ur gf good luck because what this is

also no hablo español

Answer:

x-bar, the average between all the values, x1+x2+x3/3

Divide £104 in the ratio 3:5

Answers

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

Simplify the Expression and EXPLAIN what you did and WHY.

-3(4m+3)+2m

Answers

Answer:

-10m-9

Step-by-step explanation:

open the bracket by multiplication

-3 × 4m= -12m

-3 × 3= - 9

-12m - 9 +2m

arrange like terms together

-12m +2m -9

-10m -9

Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?

Answers

Answer:

2:12

Step-by-step explanation:

The ratio of cups of sugar to cupcakes is equivalent to 1:6.

Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.

What is the ratio?

The ratio is the comparison of two quantities. It is generally represented by a fraction.

2 cups of sugar: 12 cupcakes = 2:12

2:12 = 2/12 =1/6 =1:6

So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

To get more about ratios visit:

https://brainly.com/question/2328454

John gets his first job working at an ice cream shop because he loves ice cream. He gets paid $9 per hour. Create a table to demonstrate how much money John will make from 0 - 6 hours. Let x equal the number of hours worked, and let y equal the amount of money that he will make. Then, create a graph with your results.​

Answers

Answer:

1hr: $9

2hr: $18

3hr: $27

4hr: $36

5hr: $45

6hr: $54

Step-by-step explanation:

You can use Desmos, the graphing calculator (online tool)  

1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5

Answers

Answer

(tan x + 3)=5

Step-by-step explanation:

The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c . The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc?

Answers

Answer:

I don't recognize this problem, please make sure the input is complete.

Step-by-step explanation:

sry

Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans of each type and records their weights. The weights and their relative frequencies are summarized in the histograms. 2 histograms comparing brand A and brand B of green beans. The median weight for brand B is less than the median weight of brand A. Which of the following is a true statement when comparing the bags of green beans? The median weight for both types is between 32.1 and 32.2 ounces. The median weight for both types is between 32.0 and 32.1 ounces. The median weight for brand B is less than the median weight of brand A. The median weight for brand B is greater than the median weight of brand A.

Answers

Answer:

The answer is: B.)32.0–32.1 ounces

Step-by-step explanation:

Got it right on my test

The true statement is The median weight for both types is between 32.0 and 32.1 ounces.

What is data?

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study.

Given:

Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags.

The median weight for brand B is less than the median weight of brand A.

So, if both brands weigh 32 ounces then the median weight for both types is between 32.0 and 32.1 ounces.

Learn more about data here:

https://brainly.com/question/10980404

#SPJ6

can someone find the length of the spine plss

Answers

Answer:

48.2 cm

Step-by-step explanation:

The bottom side of the large triangle has length 78 cm.

The bottom side of the right triangle has length 78 cm/2 = 39 cm.

Now we use the Pythagorean theorem to find the vertical side, the spine.

39² + s² = 62²

s² = 3844 - 1521

s² = 2323

s = 48.2

Answer: 48.2 cm

Combine like term in the following expressions:
3x + 5y + 2z + 2x + y + 3z +5 -3
A. 18
B. 5x+6y+5z+2
C. 8x+$z+4y+8
D. None of Above​

Answers

Answer:

B. 5x+6y+5z+2

Step-by-step explanation:

3x + 5y + 2z + 2x + y + 3z +5 -3 = 5x +6y + 5z +2

B

Answer please which number line shows 1/3 and it’s opposite

Answers

Answer:

D

Step-by-step explanation:

the first of three parts is what 1/3 is

An item has a listed price of $45. If the sales tax rate is 3%, how much is the sales tax (in dollars)?

Answers

Answer:

1.35

Step-by-step explanation:

45 x .03

Another area and perimeter question!!!
Pls helppppp

Answers

Answer:

D. 62 inches

Step-by-step explanation:

the object is symmetrical across z, so the lengths on the other side will be the same as x and y

the perimeter would just be 2x + 2y = 2(12) + 2(19) = 62 inches

WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)

chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?

Answers

Answer:

Hi

Step-by-step explanation:

I have the same question, did you figure it out?

austin bought a new car for $35,000. the car decreases in value 4% every year. how many years will it take for the cars value to be $20,000?

Answers

Answer:

2 years

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square inch.

Answers

Answer:

Plate Area = PI * radius^2

Plate Area = 3.14159 * 6 * 6

Plate Area = 113.09724  square inches

Plate Area = 113.1 square inches (rounded)

Step-by-step explanation:

A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.

Answers

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
Find their ages.

Answers

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

Please help this is due today.

Answers

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

Pls help ASAP PLSSSS!!!

Answers

Answer:

D

Step-by-step explanation:

225 is the closest to point (200, 200)

Answer:

c

Step-by-step explanation:

trust

help me i really need the help

Answers

Answer:

G: 1 3/4

Step-by-step explanation:

you have to divide, 8 3/4 cups by 5 and you get 1 3/4!

Answer:

G. 1 3/4

Step-by-step explanation:

There are multiple ways you can do this, but there's one easy way.

You can convert 8 3/4 to a decimal, which is 8.75.

From there, divide 8.75 by 5 and you get 1.75, which is 1 3/4/

Referring to the figure, find the volume of the solid shown. Round to the nearest whole number. Will mark brainliest...

Answers

Answer:

648

Step-by-step explanation:

FInd volume of bottom half (9x6x12)

find voume of pyramid 1/3Bh 1/3(11)(54)

what is the answer
Move the correct number to the first box to show the answer. Then, move numbers to the other boxes to explain the answer.

Answers

Answer:

[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]

Because:

[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{4} * 3 = [\ ][/tex]

Because

[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]

Required

Fill in the box

[tex]\frac{1}{4} * 3 = [\ ][/tex]

This can be written as:

[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]

Solve the numerator

[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]

(b) Because

[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]

The above implies that

[tex]\frac{1}{4}[/tex] be added in 3 places

i.e.

[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]

I need answer for this question

Answers

Answer:

The answer should be D) 4x^ + x + 3

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