1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kitty [74]
3 years ago
11

Prove that the value of the expression: (16^3–8^3)(4^3+2^3) is divisible by 63.

Mathematics
1 answer:
Korvikt [17]3 years ago
7 0

Answer:

The expression (16^3–8^3)(4^3+2^3) is divisible by 63

The answer is

4096

Step-by-step explanation:

Firstly let us evaluate expression

=(16^3–8^3)(4^3+2^3)

=(4096-512)(64+8)

=(3584)(72)

=258048

=258048/63

= 4096

You might be interested in
What does x equal ?
Karo-lina-s [1.5K]
X=40 because you set all the degrees equal to 360 degrees because its a circle :)
7 0
3 years ago
You and five of your friends like to go to McDonalds once a week and get Happy Meals for the prize inside. McDonalds has just st
Pavel [41]

Answer:

The most suitable experimental simulation to find the probability of getting the six toys is by rolling the dice and recording the occurrences.

Step-by-step explanation:

As there are a total of 6 different dinosaurs, the probability of each of them is given as

P(X=one dinosaur)=1/6

In order to design an experiment, as the data is completely random and unknown, thus the experiment is designed such that the probability of individual option is 1/6.

In this regard the most suitable option is rolling a dice, numerous times and recording the occurrences accordingly.

8 0
3 years ago
Peter plans to build a tree house in his back yard. He needs to know how many square feet of lumber he should buy for the floor.
11Alexandr11 [23.1K]

Answer:

  20n

Step-by-step explanation:

Multiply square feet per person times the number of persons to find square feet.

The units analysis looks like this:

\dfrac{\text{ft}^2}{\text{person}}\times \text{persons}=\text{ft}^2\\\\20\dfrac{\text{ft}^2}{\text{person}}\times n\,\text{persons}=20n\,\text{ft}^2

4 0
3 years ago
Read 2 more answers
If the acute angles in a right triangle are in the ratio of 5:4 find the measure of the smallest angle
deff fn [24]
Let's create this right triangle.  We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C.  If the ratio is 5:4, then it is A:C.  5+4 = 9.  The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10.  So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees.  The smallest angle, angle C, is 40 degrees.
6 0
3 years ago
If R = 25 cm and S = 7 cm, what is the length of T?
Levart [38]

Answer: 24cm

Step-by-step explanation:

R = 25 cm

S = 7 cm

T = ?

The square of equals to the addition of the square of S and the square of T.

R^2 = S^2 + T^2

25^2 = 7^2 + T^2

T^2 = 25^2 - 7^2

T^2 = 625 - 49

T =✓576

T = 24cm

8 0
3 years ago
Other questions:
  • Lakeisha has 3 5/8 yards of fabric. She wants to make a dress that requires 2 1/2 yards of fabric. How much fabric will she have
    6·2 answers
  • What is the value of f(-4)
    5·1 answer
  • The experimental factor that is manipulated; the variable whose effect is being studied is called ____________
    12·1 answer
  • What percent is of 80 is 15?​
    8·1 answer
  • . Evaluate x2+ 2y÷ 2w+ 3zfor w= -2, x= -5, y= 8, and z= -3
    11·1 answer
  • Help mathh is it growth, decay or neither??​
    7·1 answer
  • I NEED HELP!! WITH NUMBER 4 BOTH ANSWERS
    10·2 answers
  • Covert 298.4 to a fraction
    10·2 answers
  • Three muffin pans with six in each pan what is the fraction for this
    15·2 answers
  • Convert 80 gallons into liters. Round your answer to the nearest whole number.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!