Factorise:
8 x 3 + 729 +10800² + 486X.

so you divide the rational number if the decimal on both sides if one is greater and the other less than the number that's greater should have the greater sign. but, if theres a number that's less then you should put the less than sign and if both numbers are the same number you should put the equal sign

Answer: it's 248 I just did the question .

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

1. 5040

2. 20

Step-by-step explanation:

1. using the formula for permutation

nPr=n!/(n-r)!

10P4 = 10!/(10-4)!

=10*9*8*7*6!/6!

then we are left with

=10*9*8*7

=5040

2.using the formula for combination

nCr=n!/(n-r)!r!

6C3=6!/(6-3)!3!

=6*5*4*3!/3!3!

=6*5*4/3*2*1

=20

Answer:

1/7

Step-by-step explanation:

If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.

Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.

Answer:

The central tendency that changes is the median.

Step-by-step explanation:

- The mean without number 4 is 28.

28/7 = 4

But if we add the 4, the mean would be 32.

32/8 = 4

The mean does not change.

- The mode also does not change because the number that appears most frequently is 3.

- And the range does not change either since the range is the subtraction of the largest number with the smallest, in this case:

8 - 2 = 6

- On the other hand, the median is the middle number, without 4 the median would be 3, but with 4 the median would be 4 + 4/2, which is the same 4.

Answer:

2x+5

Step-by-step explanation:

Five more than two times a number would be 2 times x which is a number plus five because more means adding

Answer:

75 miles squared

Step-by-step explanation:

First we have to convert 1 inch = 5 miles to square miles as that is what we are trying to get

So, 1 inch squared = 25 miles squared

To get 75 miles squared, we multiply both sides by 3.

So 3 * 1 inch squared = 3 * 25 miles squared

Gets us 3 inch squared = 75 miles squared

Answer:

f (x,y) = sin (x,y)  & points = (1,0)

Maximum  rate of change in f at given point & direction = 1

Step-by-step explanation:

The function & points are not given,

Considering them as general example : f (x,y) = sin (x,y) & points = (1,0)

Maximum rate of change in f (x,y) happens in direction of ∇ f (1,0)

∇  f (x,y) =  [ df / dx ,  df/ dy ]

= [ y cos (xy) , x cos (xy) ]

∇ f (1,0)  = [ 0, cos (0) ] = (0,1)

Magnitude at (1,0) = ∇ f (1,0)  = √ 0^2 + 1^2  = 1

Answer:

((-9 - 1)/2, (-4 + 6)/2) = (-5,1)

((-5 + x)/2, (1 + y)/2) = (-4,-3)

(-5 + x)/2 = -4

-5 + x = -8

x = -3

(1 + y)/2 = -3

1 + y = -6

y = -7

(-3,-7)

Answer:

Step-by-step explanation:

[tex]3+11t-9u\\t = 9\\u =11\\\\3+11(9) -9(11)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:11\left(9\right)\::\quad 99\\=3+99-9\left(11\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\left(11\right)\::\quad 99\\=3+99-99\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+99-99\:\\:\quad 3[/tex]

Answer:

[tex] - 19[/tex]

Step-by-step explanation:

[tex]3 + 11t - 9u = 3 + 11(9) - 9(11) = 3 + 99 - 121 = - 19[/tex]

Answer:

The value of x in this equation is -4.

Step-by-step explanation:

2(4x - 6) = 4(3x - 7)

Distribute 2 to (4x - 6) and distribute 4 to (3x - 7)

8x - 12 = 12x - 28

Subtract 12x form both sides of the equation.

-4x - 12 = -28

Add 12 to both sides of equation.

-4x = 16

Divide -4 on both sides of the equation.

x = -4

The value of x is -4.

Answer:

x=4

Step-by-step explanation:

Starting with 2(4x-6) you apply the distributive law: a(b-c) = ab - ac

a =2,  b=4x, c=6

2(4x-6) = 2*4x-2*6 Then multiply the numbers 2*4

8x-2*6 = multiply 2*6

8x-12

Then for 4(3x-7) you apply the distributive law.

a =4, b=3x, c=7

4*3x-4*7 multiply 4*3

12x-4*7 multiply 4*7

12x-28

Then the equation would be 8x-12 = 12x-28. Add 12 to both sides.

8x=12x-16 Subtract 12x to both sides

-4x=-16 divide both sides by -4

then you'll get Positive 4 as your x.

Answer:

17

Step-by-step explanation:

3x + 2y = 3(3) + 2(4) = 9 + 8 = 17

Answer:

[tex]\huge\boxed{17}[/tex]

Step-by-step explanation:

[tex]3x+2y\\\\\text{When: }\boxed{x=3; y=4}\\\\3(3)+2(4)\\\\3*3+2*4\\\\9+8\\\\\boxed{17}[/tex]

Answer:

true

Step-by-step explanation:

any number to the power of 0 would equal 1

Answer:

The answer is

Step-by-step explanation:

To solve the radicals make sure that they both have the same radical

That's

Simplify 3√28 in order to combine the radicals

We have

So we now have

Using the rules of surds

That's

Simplify the expression

We have

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

[tex]4\sqrt{7}+3\sqrt{28}=4\sqrt{7}+3\sqrt{2*2*7}\\\\\\ =4\sqrt{7}+3*2\sqrt{7}\\\\\\= 4\sqrt{7}+6\sqrt{7}\\\\\\=(4+6)\sqrt{7}\\\\\\ =10\sqrt{7}[/tex]

Answer:

4 hours 7 minutes

Step-by-step explanation:

Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.

Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:

.1 + .143 = .243

The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:

.243x = 1   Divide each side by .243

x = 1/.243

x ≈ 4.115

Let's convert .115 to minutes by multiplying by 60

.115 * 60 = 6.9 round to 7 for 7 minutes

It will take them around 4 hours 7 minutes to clean the attic.

Answer:

2.556818 miles

Step-by-step explanation:

Direct variation uses the equation y = kx, where I is the constant of variation.

1. Is not a direct variation because the line is curving so the change in x is not constant.

2 and 3 Are straight lines, so Show direct variation. You can find 2 points on each line and calculate the slope which would be a constant variation.

Answer:

21

Step-by-step explanation:

Use PEMDAS

P ---> Parenthesis

E ----> Exponents

M & D -------> Multiplication & Division

A & S ------> Addition & Subtraction

5 + 4*(8 - 6)² = 5 + 4*(2)²

                     = 5 + 4*4

                     = 5 + 16

                     = 21

Answer:

The sum of their squares = 29.

Step-by-step explanation:

Let's us first find out the numbers

we must first break number 7:-

1+6=7

2+5=7

3+4=7

And other combinations when we change the number postion

°) now let us look which numbers cubes when added makes 133:-

A) First one 1+6=7

Sum of Cubes=1+216=217 (it does not satisfy our Conditions)

B) Another one 2+5=7

Sum of Cubes 8+125=133 (satisfy the condition)

C) Last one 3+4=7

Sum of cubes 24+64=88 (does not satisfy)

Now we know the numbers(2,5) so as per question we need to find out sum of their square

Square of 2=4

Square of 5=25

Therefore, the sum of there square is 4+25=29.

Answer: 34

Step-by-step explanation: B=10 S1=12 S2=12. Add them up

Answer:

I'm assuming the sides are 12 and the bottom 10 so your perimeter is 34

If you count the boxes the line of the triangle takes up, its 12 and the bottom is 10

Sides: 12

bottom: 10

If you add them up:

12 + 12 + 10 = 34

Answer:

see below (I hope this helps!)

Step-by-step explanation:

T = WP [ M² - (M - S)² ]

T = WP [ M² - (M² - 2MS + S²) ]

T = WP (2MS - S²)

T = 2WPMS - WPS²

T + WPS² = 2WPMS

M = (T + WPS²) / (2WPS)

Assuming you are saying 1 cm to 25 cm, the answer is 450 cm or 4.5 meters.

For every 1 cm of the model, it is 25 cm in real life.

The model is 18 cm long.

18×25=450 cm

There are 100 cm in a meter.

450÷100 is 4.5

The car is 4.5 meters in real life.

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer: True

Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median

Answer:

Z=pd+59/2-p

Step-by-step explanation:

2z-pd-pz-59=0

2z-pz=pd+59

z(2-p)=pd+59

z=pd+59/2-p

Answer:

$44.03

Step-by-step explanation:

Payment due:

19% tip:

Total payment:

$ 44.03 to be paid in total including 19% tip.

Answer:

the tip you would give is $7.03

Full question :

A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?

Answer:

4% loss(percentage loss on cost price)

Step-by-step explanation:

we will be employing algebra in solving this problem :

20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange

Say x oranges bought at 3Rs per orange=3Rsx

Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange

Say x oranges bought at 3Rs per orange=2Rsx

Total Cost Price = 3Rsx + 2Rsx = 5Rsx

He then sells all oranges at 25 for 60 Rs

Therefore price per orange=60/25=12/5Rs

since he sold x+x oranges(from the above calculations)

Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs

Profit or loss=24x/5-5x=-x/5

therefore we have a loss =-x/5

Percentage of loss(on cost price)

=x/5÷5x∗100=

=1/25∗100=4%

Answer:

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a circular shape.

the problem also requires that we find the perimeter of the circular track

the expression for the perimeter of a circle is given as

[tex]C= 2\pi r[/tex]

Given

diameter of the circular track = 75 meters

radius of circular track = d/2 = 75/2= 37.5 meters

Substituting our data into the expression for perimeter we have

[tex]C= 2*3.142 *37.5\\\\C= 235.65[/tex]

Approximately the length is 235 meters.

Answer:

1/4

Step-by-step explanation:

3 red + 6 green = 9 total

P( red) = red/total = 3/9 = 1/3

Now we don't put it back

2 red + 6 green = 8 total

P( green) = green/total = 6/8 = 3/4

P (red, keep,green) = 1/3 * 3/4 = 1/4