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Mrac [35]
3 years ago
5

What is the next number in the sequence 3,7,15,31,63,

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

The next number is 127

Step-by-step explanation:

The sequence is the previous number times 2 plus one.

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7. Olivia purchases gifts for her mom and
viktelen [127]

Answer:

Variable- it doesnt really matter. Im just going to use X.

Equation- $16.35 + x = $39.75.

The solution is $23.40

Step-by-step explanation: Basically you reverse the equation so it says $39.75 - $16.35 = x . Then you just subtract.

5 0
3 years ago
Read 2 more answers
Find all unit vectors that are orthogonal to the vector u = 1, 0, −4 .
KIM [24]

Answer:

Step-by-step explanation:

Given:

u = 1, 0, -4

In unit vector notation,

u = i + 0j - 4k

Now, to get all unit vectors that are orthogonal to vector u, remember that two vectors are orthogonal if their dot product is zero.

If v = v₁ i + v₂ j + v₃ k is one of those vectors that are orthogonal to u, then

u. v = 0                    [<em>substitute for the values of u and v</em>]

=> (i + 0j - 4k) . (v₁ i + v₂ j + v₃ k)  = 0               [<em>simplify</em>]

=> v₁ + 0 - 4v₃ = 0

=> v₁ = 4v₃

Plug in the value of v₁ = 4v₃ into vector v as follows

v = 4v₃ i + v₂ j + v₃ k              -------------(i)

Equation (i) is the generalized form of all vectors that will be orthogonal to vector u

Now,

Get the generalized unit vector by dividing the equation (i) by the magnitude of the generalized vector form. i.e

\frac{v}{|v|}

Where;

|v| = \sqrt{(4v_3)^2 + (v_2)^2 + (v_3)^2}

|v| = \sqrt{17(v_3)^2 + (v_2)^2}

\frac{v}{|v|} = \frac{4v_3i + v_2j + v_3k}{\sqrt{17(v_3)^2 + (v_2)^2}}

This is the general form of all unit vectors that are orthogonal to vector u

where v₂ and v₃ are non-zero arbitrary real numbers.

3 0
3 years ago
When two equal signs is placed between two algebraic expressions a what is formed
Vikki [24]

If we have two sides equal each other, then we called the statement "equation"

Example:

2x + 3 = 5x - 2 is called an equation

2x + 3 is an algebraic expression

5x - 2 is an algebraic expression

When we put = sign between them, they called an equation

Then when two equal signs are placed between two algebraic expressions, they formed an equation

The answer is an equation

4 0
1 year ago
20 points<br> How on Earth do I do this?
Rasek [7]

a+b+c=-1

a=1

b=-1

c=-1

So for this u just replace the letters

not sure about x+y=7

4 0
3 years ago
There are 105 lettered tiles in a board game. You choose thetiles shown (R, A, I, L, M, B, E). How many of the 105 tileswould yo
snow_tiger [21]
105 ÷ 7 = 15 15 × 3 = 45 45 are vowels
7 0
3 years ago
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