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3 years ago

In the sequence 80, 64, 48, 32, ..., what number should come next?

Mathematics

2 answers:

Lubov Fominskaja [6]3 years ago

8 0

Answer:

16 should come next

Step-by-step explanation:

First, determine the rule

<em>N, decreases</em> by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.

Therefore, subtract 16 from 32 to receive 16

otez555 [7]3 years ago

5 0

(b) sixteen is the answer

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Jessica made 6 19/20 cups of punch. Her punch had two different types of juice in it. If the punch had 4 1/5 cups of one type of

notsponge [240]

Answer:

2 3/4

Step-by-step explanation:

6 19/20 - 4 1/5 = ?

6 19/20 - 4 4/20 = ?

2 15/20 = ?

Simplified = 2 3/4

8 0

3 years ago

Read 2 more answers

A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time

user100 [1]

Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

$a(t) = 24t + 2$

Velocity:

$v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K$

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

$v(t) = 12t^{2} + 2t + 13$

Position:

$s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K$

Since s(0) = 3

$s(t) = 4t^{3} + t^{2} + 13t + 3$

What is its position at time t=5?

This is s(5).

$s(t) = 4t^{3} + t^{2} + 13t + 3$

$s(5) = 4*5^{3} + 5^{2} + 13*5 + 3$

$s(5) = 593$

It's position at time t = 5 is 593.

3 0

3 years ago

Solve -2x+3=-3x+2 and is it no solution <br>One solution or infinitely many solutions.

Alex73 [517]

Answer is =-1

implifying

-2x + 3 = -3x + 2

Reorder the terms:

3 + -2x = -3x + 2

Reorder the terms:

3 + -2x = 2 + -3x

Solving

3 + -2x = 2 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

3 + -2x + 3x = 2 + -3x + 3x

Combine like terms: -2x + 3x = 1x

3 + 1x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0

3 + 1x = 2 + 0

3 + 1x = 2

Add '-3' to each side of the equation.

3 + -3 + 1x = 2 + -3

Combine like terms: 3 + -3 = 0

0 + 1x = 2 + -3

1x = 2 + -3

Combine like terms: 2 + -3 = -1

1x = -1

Divide each side by '1'.

x = -1

Simplifying

x = -1

3 0

4 years ago

Read 2 more answers

From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square

timama [110]

Answer:

α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

(x -α)(x -β) = 0

Expanding this, we get ...

x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

(α +β)² = α² +β² +2αβ

α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

α² +β² = 3 4/9

4 0

2 years ago

Simplify: 3x(x^2 + 4x - 5)

Alina [70]

Answer:

3x^3+ 12x^2-15x

Step-by-step explanation:

First, you would have to distribute the 3x to everything in the parentheses. So you can write it out as (3x*x^2)+(3x*4x)+(3x*5). Solving this will give you the answer. We'll start off with (3x*x^2). Because we are MULTIPLYING, this part will equal to 3x^3. There is ONE x with 3x (think of it as 3x^1) and 2 x's in x^2, having a total of 3 x's, or x^3. Since the 3 is being multiplied as well, we can write it as 3x^3.

Second, we will solve (3x*4x). We are multiplying, so first we multiply 3*4 and then x*x. 3*4 is 12 and x*x is x^2. There are 2 x's being mutipled by each other, so the x becomes squared. Now we finish and multiply 12*x^2 wich is 12x^2.

Lastly, we solve (3x*5). 3x is being multiplied 5 times which gives us 15x.

I hope this helped :)

3 0

3 years ago