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2 years ago

7t + 4 is less than or equal to 3t

Mathematics

2 answers:

Ket [755]2 years ago

6 0

-7t-3t would be -4t
4 is less than or equal to -4t
Divide 4from -4
-1 is less than or equal to t

xeze [42]2 years ago

3 0

I don't see no choices for this question but I can tell u that greater than, less than, and equal to ALL SHARE THE SAME RESULT which is -1.

Here is my work for if 7t + 4 < 3t:

4 < 3t - 7t
4 < -4t
t < -1

Even if u do greater than, less than, or equal to it would all have the same answer, it would be t < -1, t > -1, and t = -1. Either way u do it, it will still have the same answer so in terms u can say answer is both or all of the above.

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3 years ago

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2 years ago

Find the next item in the pattern 2,3,5,7,11....

SpyIntel [72]

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2 years ago

Is the graph of y = sin(x^4) increasing or decreasing when x = 10? Is it concave up or concave down?

Tanzania [10]

$y=\sin(x^4)$
$\implies y'=4x^3\cos(x^4)$
$\implies y'=12x^2\cos(x^4)-16x^6\sin(x^4)$

At $x=10$ , you have

$y'(10)=4000\cos(10^4)$

The trick to finding out the sign of this is to figure out between which multiples of $\dfrac\pi2$ the value of $10^4$ lies.

We know that $\cos x>0$ whenever $-\dfrac\pi2+2n\pi$ , and that $\cos x$ whenever $\dfrac\pi2+2n\pi$ , where $n\in\mathbb Z$ .

We have

$10^4=\dfrac{k\pi}2\implies k=\dfrac{2\times10^4}\pi\approx6366.2$

which is to say that $\dfrac{6366\pi}2$ , an interval that is equivalent modulo $2\pi$ to the interval $\left(\pi,\dfrac{3\pi}2\right)$ .

So what we know is that $10^4$ corresponds to the measure of an angle that lies in the third quadrant, where both cosine and sine are negative.

This means $y'(10)$ , so $y$ is decreasing when $x=10$ .

Now, the second derivative has the value

$y'=12\times10^2\cos(10^4)-16\times10^6\sin(10^4)$

Both $\cos(10^4)$ and $\sin(10^4)$ are negative, so we're essentially computing the sum of a negative number and a positive number. Given that $\sin x>\cos x$ for $\pi$ , and $\cos x>\sin x$ for $\dfrac{5\pi}4$ , we can use a similar argument to establish in which half of the third quadrant the angle $10^4$ lies. You'll find that the sine term is much larger, so that the second derivative is positive, which means $y$ is concave up when $x=10$ .

5 0

2 years ago

rounding me to the nearest hundred makes me 900. The sum of my digits is 25. If you read forward or backward, i am still same. w

Novosadov [1.4K]

the no must be 858 o 868 or 878 or 888 or 898

8+5+8=21

8+6+8=22

8+7+8=23

8+8+8=24

8+9+8=25

now 898 is the most likely case here

lets go deep into it

approximating 898 to nearest hundred gives 900

addition of each character of 898 gives 25

reading forward and backward both 898 remains same

therefore 898 is the number which satisfies the given conditions. therefore the answer is 898

3 0

2 years ago

Read 2 more answers