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blagie [28]
2 years ago
9

Carl is estimating 653 - 644. His work is shown below.

Mathematics
1 answer:
victus00 [196]2 years ago
7 0

Answer:

actual difference is 9

Step-by-step explanation:

the estimate is not reasonable.

he should have done 650-640.

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pickupchik [31]

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Step-by-step explanation:

6 0
2 years ago
A building is known to be 192 feet tall. A ball is dropped from the top of the building. In how many seconds will the ball hit t
Archy [21]

Answer:

  • h = 0 when the ball hits the ground
  • about 3.464 seconds

Step-by-step explanation:

The formula gives h = 192 when t=0, so we assume that h represents the height above the ground. The ball will have a height of 0 when it hits the ground.

__

Using that in the equation, we can solve for t.

  0 = 192 -16t^2

  0 = 12 -t^2 . . . . . . divide by 16

  t^2 = 12 . . . . . . . . add t^2

  t = √12 = 2√3 ≈ 3.464 . . . . take the square root

It will take 2√3 seconds, about 3.464 seconds, for the ball to hit the ground.

5 0
3 years ago
For how many integers $n$ is it true that $\sqrt{n} \le \sqrt{4n - 6} &lt; \sqrt{2n + 5}$?
ale4655 [162]

\bf \sqrt{n}\leqslant \sqrt{4n-6}

\bf \sqrt{n}< \sqrt{2n+5}\implies \stackrel{\textit{squaring both sides}}{n< 2n+5}\implies 0\leqslant 2n - n + 5 \\\\\\ 0 < n+5\implies \boxed{-5 < n} \\\\\\ \stackrel{-5\leqslant n < 2}{\boxed{-5}\rule[0.35em]{10em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}2}


namely, -5, -4, -3, -2, -1, 0, 1.  Excluding "2" because n < 2.

6 0
3 years ago
Here is the histogram of a data distribution. All class widths are 1.
Lera25 [3.4K]
It’s C. Since that’s the middle based on the diagram
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2 years ago
Consider the following system of equations:
Kobotan [32]

Answer:

x=-15, y=25. (-15, 25).

Step-by-step explanation:

2x+3y=45

x+y=10

--------------

x=10-y

2(10-y)+3y=45

20-2y+3y=45

20+y=45

y=45-20

y=25

x+25=10

x=10-25

x=-15

5 0
3 years ago
Read 2 more answers
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