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3 years ago

What is the next term in the sequence below? 1/2, 2/6, 3/18, 4/54, ____

1 answer:

4 0

You are adding 1 to the numerator, which means that the next numerator in the sequence is going to be 5. You are multiplying the denominator by 3, so it means that the next denominator in the sequence is going to be 162.
The answer is 5/162.

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Jason buys three shirts with a listed price of $20 each. Jason uses a coupon that provides "Buy Two, Get One Free". What is the

Temka [501]

Given:

Jason buys three shirts with a listed price of $20 each.

He uses a coupon that provides "Buy Two, Get One Free".

To find:

The total final price Jason pays.

Solution:

Total number of shirts he buys = 3

Since he uses a coupon that provides "Buy Two, Get One Free", therefore he need to pay for 2 shirts and 1 he will get free.

Cost of 1 shirt = $20

Cost of 2 shirts = 2 × $20

= $40

Therefore, total final price Jason pays is $40.

3 0

3 years ago

What is the slope of the line.

neonofarm [45]

Answer:

-1

Step-by-step explanation:

8 0

3 years ago

What is the proportional numbers of 26/13

Inga [223]

Answer:

eboi

Step-by-step explanation:

8 0

3 years ago

assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

6 0

3 years ago

Solve this system by substitution:<br><br> y = -6x - 3<br><br> -3x - 8y = 24

Nadusha1986 [10]

Answer:

(0,-3)

Step-by-step explanation:

7 0

3 years ago