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3 years ago

Evaluate: (x^2-1)/(x-1) if x goes to 1?

Mathematics

1 answer:

egoroff_w [7]3 years ago

6 0

Step-by-step explanation:

$\displaystyle \lim_{x \to 1} \dfrac{(x^2 - 1)}{(x-1)} = \lim_{x \to 1} \dfrac{(x - 1)(x+1)}{(x-1)}$

$\:\:\:\:\:\:\:\:\displaystyle = \lim_{x \to 1} (x+1) =2$

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A healthy human heart beats about 1,533,000 times a year. A sparrow's heart beats about 241,776,000 times in a year. About how m

Galina-37 [17]

Answer:

About 158 times

Step-by-step explanation:

Represent the rate of human heart with H and sparrow's heart with S

$H = 1,533,000\ times$

$S = 241,776,000\ times$

Required

Determine how many times faster is S than H

To do this, we simply divide S by H i.e.

$Number = \frac{S}{H}$

$Number = \frac{241,776,000}{1,533,000}$

$Number = 157.714285714$

$Number = 158$ --- approximated

Hence, the sparrow's heart beats about 158 times faster than the human hearts

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2 years ago

Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1×103. Which number is the greatest, an

Tasya [4]

Assuming 6.5×10^3 5.5×10^5 1.1×10^3
are in scientific notation.
6500
550000
1100

are the choices without scientific notation.
so by looking at this you can assume (E) is the right answer

(E) The greatest number is 5.5 × 105. It is 5,000 times greater than the smallest number.

6 0

2 years ago

Read 2 more answers

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lanno

arsen [322]

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

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3 years ago

|(a + b)x + y = 4 |x + (a - b)y + 10

leonid [27]

I don't know the answer but try using PEMDAS. (Parentheses, Exponents, Multiplication, Division, Addition, and then Subtraction)

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3 years ago

Pls see attached question

zimovet [89]

Answer:

Step-by-step explanation:

put it on a coorinate grid,

circle circumference = 2*pi*r = 100.53

so the arc 19.2/100.53 = about 0.15 times the circumference of the circle

0.15*2pi = angle AOB in radians = 0.97

length DE is like 7.44

angle DOE is approx 0.485 radians beacuse it's half of angle AOB

area of shaded region is 804.2477 probably. I'm not sure about this last one sorry I think my calculator messed up

6 0

2 years ago