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3 years ago

To slove,estimate by using front-end estimation, and round to make it more accurate.

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

We can round 58697 to 59000, and 3664 to 4000. The computation becomes

$59000-4000=55000$

The actual result is 55033, so it's quite a good result

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The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

Please answer this question.i would really apreciate it

mart [117]

What is the question?

5 0

3 years ago

Any suggestions or answers

OLEGan [10]

2nd answer.

any pts in the shaded region satisfies your simultaneous equation.

5 0

4 years ago

Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are

ruslelena [56]

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

3 0

3 years ago

Read 2 more answers

Please help me solve for the slope of the graph

zalisa [80]

Answer:

4/5

Step-by-step explanation:

Take two points on the lines. From here, we can get (5, 2) and (10, 6). Slope formula involves taking RISE/RUN, which is where you take y-y/x-x. <u>Stay consistent on how you order the numbers.</u> I like positive numbers, so we'll do (6-2)/(10-5). That gives us 4/5, which is your slope.

8 0

3 years ago