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3 years ago

6

if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p

= 0 are equal.

1 answer:

goblinko [34]3 years ago

4 0

Answer:

first 0ne

Step-by-step explanation:

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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

4 there are only red sweets and yellow sweets in a bag.

Taya2010 [7]

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be $\dfrac{7}{10}$

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

In this problem:

In total, there are 8 + n sweets in the bag.

Of those, n are red.

The probability of red is:

$p=\dfrac{n}{n+8}$

Supposing, we solve for n:

$\dfrac{n}{n+8} = \dfrac{7}{10}$

10n = 7n + 56

3n = 56

n = 56 / 3

n = 18.67

Since the number of red sweets would be a decimal number, the probability cannot be 7 / 10

To know more about probability follow

brainly.com/question/24756209

#SPJ1

4 0

2 years ago

A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig

mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or x = $\frac{1440}{480}$

or x= 3

Hence x= 3 inch should be turned up on each side

3 0

3 years ago

Right answer no lin or bot

kvv77 [185]

Answer:

$2\frac{9}{10} or\frac{29}{10}$

Step-by-step explanation:

Hope this helps! Have a great day ahead. Happy halloween :) Stay Safe <33

8 0

2 years ago

Read 2 more answers

Can someone help idk if this is right

navik [9.2K]

Answer:

$a_n=-3 \cdot a_{n-1}$

$a_1=2$

You gave the explicit form.

Step-by-step explanation:

You gave the explicit form.

The recursive form is giving you a term in terms of previous terms of the sequence.

So the recursive form of a geometric sequence is $a_n=r \cdot a_{n-1}$ and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.

r is the common ratio and can found by choosing a term and dividing by the term that is right before it.

So here r=-3 since all of these say that it does:

-54/18

18/-6

-6/2

If these quotients didn't match, then it wouldn't be geometric.

Anyways the recursive form for this geometric sequence is

$a_n=-3 \cdot a_{n-1}$

$a_1=2$

5 0

3 years ago