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2 years ago

Tell whether the sequence is arithmetic. If it is, identify the common difference.

Mathematics

1 answer:

Rudik [331]2 years ago

8 0

Answer:

Yes, it is arithmetic with the common difference 2.

Step-by-step explanation:

10-8=2

8-6=2

6-4=2

etc.

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Evaluate the expression below when x = 9 and y = 12. <br> 4(x + 6) - 3(y + 4)

Viefleur [7K]

The answer would be 12

8 0

2 years ago

A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st

shutvik [7]

Answer:

Equation of movement y(t)

$y(t)=sin(10t-\pi/2)$

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

$A=1\,inch$

The period depends on the mass and the spring constant.

The formula for the period is:

$T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s$

The model y(t) for the movement of the mass-spring system is

$y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)$

8 0

3 years ago

Write the ratio 48 to 24 as a simplified fraction

hichkok12 [17]

2/1 is the answer that you’re looking for

4 0

3 years ago

Solve the following inequality:

ad-work [718]

Answer:

The answer is option 3.

Step-by-step explanation:

In order to solve the inequality, you have to get rid of -3 by adding 3 to both sides :

$k - 3 \leqslant 9$

$k - 3 + 3 \leqslant 9 + 3$

$k \leqslant 12$

4 0

3 years ago

Twice the product of 3and a number exceeds the sum of the number and 80 by 10.what is the number?

Hatshy [7]

First, create an equation with the criteria given.

If we let x be your number,
$2(3x) = 80 + x + 10$
( $2(3x)$ is twice the product of 3 and x, and if it exceeds $x+80$ by 10, then we add 10 to $x+80$ to make the two sides of the equation equal.)

Now, solve for $x$ .

$6x=90+x \\ 5x=90 \\ x=18$

6 0

3 years ago