Prove that the value of the expression: 731^3−631^3 is divisible by 100

Answer:

C. 2428

Step-by-step explanation:

c=152t-44d

Its given that,

t=18, d=7

substituting

c=152(18)-44(7)=2428

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Answer:

Step-by-step explanation:

x=45816 , 1.89552335

Answer:

Answer:

x=0.333333,−0.333333

Step-by-step explanation:

(813)(x) /3^4

x=729

Simplifies to:

6561x2=729

Let's solve your equation step-by-step.

6561x2=729

Step 1: Divide both sides by 6561.

6561x^2 /6561 =  729 /6561

x2= 1 /9

Step 2: Take square root.

x=±√ 1 /9

x=0.333333,−0.333333

9514 1404 393

Answer:

  L = 5√10

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  (10√3)² = L² + (5√2)²

  300 = L² + 50 . . . . . . . . . evaluate the squares

  L² = 300 -50 = 250 . . . . subtract 50

  L = √250 = (√25)(√10) . . . . take the square root and factor for simplification

  L = 5√10

Answer:

not yet di ko po maintindihan

Step-by-step explanation:

sana po magets nyo po

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall

Answer:

2x−y=5

Step-by-step explanation:

Answer:

part A:

1/12 on day 1

1/4 or 3/12 on day 2

5/12 on day 3

Missy read 2/12 or 1/6 every day

Part B:

if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day

2/12 * 4 = 8/12

so 1/12 + 8/12 = 9/12 or 3/4 by Friday

Answer:

Monday: 1/12

Tuesday: 3/12

Wednesday: 5/12

Step-by-step explanation:

Answer:

0.281 ; 0.864

Step-by-step explanation:

1.)

p decreases as n increases (n increases, p--> 0)

λ ≥ 0

P(x = x) = (e^-λ * λ^x) ÷ x!

λ for Ford = 1.27

B) zero problems :

P(x = 0) :

(e^-1.27 * 1.27^0) ÷ 0! = 0.281

P(x = 0) = 0.281

Two or fewer problems :

P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)

P(x ≤ 2) = 0.281 + 0.357 + 0.226

P(x ≤ 2) = 0.864

D.) It allows for early detection and thus adequate curtailment of the problem at an a stage in which it seems easier to curb.

Answer:

30 lbs.

Step-by-step explanation:

There is a much easier way to do this involving percentages, but I hate percentages so here is my way.

The adult weight will be 100% and the puppy is currently around 30%. If you multiply 30% by 3, you get 90% which is almost 100%.

So I multiplied 9 by 3 to get 27 lbs.

Now I need to get the remaining 10%. 9 lbs is 30%, soto get to 10%, I divide 30% by 3. I divided the 9 lbs by 3 to get 3 lbs.

Add the two numbers together: 27+3=30 lbs

Answer: 7

Step-by-step explanation:

Distribute

3c - 6 = 15

Add 6 to both sides

3c = 21

Divide 3 to both sides

c = 7

Answer:

Step-by-step explanation:

Remark

I don't think the net helps you that much. The yellow diagram shows where the dimensions are.

Givens

Formula

Surface Area = 2*L*w + 2*L*h + 2 * w * h

Solution

Answer:

289 meters I believe.

Step-by-step explanation:

Answer:

The area would reduce to 1/4 the original area

Step-by-step explanation:

The area of a triangle = (1/2)(base)(height) or bh/2

If the triangle base and height were to reduce by one-half, the formula would change to:

Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4

9514 1404 393

Answer:

  r ≈ 19.0

  s ≈ 17.7

Step-by-step explanation:

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

So, you have ...

  cos(43°) = r/26

  r = 26·cos(43°) ≈ 19.0

__

  sin(43°) = s/26

  s = 26·sin(43°) ≈ 17.7

Answer:

they ate it all together as it all adds to 1

Step-by-step explanation:

1/4+2/5 if you add the missing remainder it totals 1

Answer:

74%->91.22

100%-> 123.27(estimated)

The total amount of the utility bill will be $123.2.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.

The total amount will be calculated as below:-

74% ⇒ $91.22

1% ⇒ 91.22 / 74

100% ⇒ ( 91.22 x 100 ) / 74

100% ⇒ $123.27

Therefore, the total amount of the utility bill will be $123.2.

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Answer:

7 granola bars

Step-by-step explanation:

560 calories in 4 bars

560/4 = 140 per bar

980/140 = 7 bars

9514 1404 393

Answer:

  (b)  540 boxes

Step-by-step explanation:

The 28 foot depth of the trailer will accommodate 18 boxes (leaving 1 ft unfilled).

The 8 1/2 foot width of the trailer will accommodate 5 boxes (leaving 1 ft unfilled).

The 9 1/6 foot height of the trailer will accommodate 6 boxes (leaving 1/6 ft unfilled).

The collection of boxes filling the trailer is 18 deep, 5 wide, and 6 high, for a total of ...

  18 × 5 × 6 = 540 boxes

_____

In each case, the number of boxes that will fit is the dimension divided by the dimension of the box. The result is the integer part of the quotient. For example, ...

  (28 ft)/(3/2 ft/box) = 56/3 box = 18 2/3 box . . . 18 boxes will fit

Answer:

The correct answer is (-1,-3)

Step-by-step explanation:

its right i think lol

Step-by-step explanation:

To find circumfrence you use the equation:

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

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

[tex]C=2\pi 7[/tex]

C= 43.98 or 44 rounded

Answer:

To find circumfrence you use the equation:

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

C= 43.98 or 44 rounded

Step-by-step explanation:

Answer:

[tex]x^{2}[/tex]-4x+4

Step-by-step explanation:

Answer:

x > -6.33

Step-by-step explanation:

-3x + 4 < 25

-3x + 4 - 4 < 25 - 4

-3x < 19

-3x/3 < 19/-3

x > -6.33

Answer:

x> -7

Step-by-step explanation:

Subtract 4 from both sides:

−3x+4−4<25−4

Simplify:

−3x<21

Multiply both sides by −1 (reverse the inequality)

(−3x)(−1)>21(−1)

Simplify again:

3x>−21

Divide both sides by 3

(3x/3) >(−21/3 )

Simplify again to get the result!

x > -7

Answer:

d. 28

Step-by-step explanation:

7x = 3x + 16

subtract 3x from both sides: 4x = 16

divide both sides by 4: x = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

Answer:

c i believe

Step-by-step explanation: