All categories

2 years ago

In cubic meters, what is the total volume of seawater needing to be displaced in order to lift the sailboat to the surface

Mathematics

1 answer:

Mariana [72]2 years ago

6 0

Answer: 2.75m^3

Step-by-step explanation:

You might be interested in

Verify the identity. <br><br> sin (x + y) - sin (x - y) = 2 cos x sin y

iren2701 [21]

Sin (x + y) = sin x cos y + sin y cos x

4 0

2 years ago

Choose the correct simplification of the expression a2 ⋅ a3. a a6 a5 a−1

alina1380 [7]

Answer: The correct option is (C) $a^5.$

Step-by-step explanation: We are given to choose the correct simplification for the following expression :

$P=a^2.a^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property of exponents :

$x^a.x^b=x^{a+b}.$

So, the simplification of expression (i) is as follows :

$P\\\\=a^2.a^3\\\\=a^{2+3}\\\\=a^5.$

Thus, the correct simplification of the given expression is $a^5.$

Option (C) is CORRECT.

3 0

3 years ago

Read 2 more answers

X-2y=-26 x-y=-2 solution of systems equation

svp [43]

If we subtract the 2 equations we eliminate x:-

x - x - 2y - (-y) = -26--2
-y = -24
y = 24
Plug this into the first equation:-
x - 2(24) = -26
x = -26 + 48 = 22

Answer is x = 22 and y = 24

4 0

3 years ago

Sammy has x flavors of candies with which to make goody bags for Frank's birthday party. Sammy tosses out y flavors, because he

harkovskaia [24]

Answer:

$^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}$

Step-by-step explanation:

Total flavors Sammy initially had = x

Number of flavors Sammy throw away = y

After throwing away y flavors, the number of flavors Sammy will be left with = x - y

He needs to make 10-flavor bags from these (x - y) flavors. In order words he needs to chose 10 flavors for each bag from(x - y) flavors. The order of selection is not important here, so this is a problem of combinations. Also since we have to make selections or small groups, this also indicates that we have to use combinations.

So we need to make combinations of 10 flavors from a total of (x - y) flavors. This can be represented as $^{(x-y)}C_{10}$

The formula for combinations is:

$^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Using the values in this formula, we get:

$^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}$

7 0

2 years ago

Write the set of real numbers x less than 6 in set builder notation

maksim [4K]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

x is a real number
x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

6 0

2 years ago