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natulia [17]
3 years ago
6

Who can prove that ? :D prove that lim x about 0 (sin(x)/x)=1 by using sandwich theorem

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0
cos (x)  \leq \frac{sin (x)}{x}  \leq 1

Apply limit as x->0
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Distributed property 3x(8x + 3) - 4(8x + 3)
ki77a [65]

Answer:

24x² - 23x - 12

4 0
3 years ago
How much interest is earned in 2 years on an investment of $2000? The interest rate is 3%.
Lelechka [254]

 In this sum we will calculate using the simple  interest.


Simple interest is calculated from the formula :

I  = PRT

where I is the interest, P is the principal, R is interest rate per year and t is time in years.

I = 2000 × 3 % x 2

We have to turn 3% to its decimal fraction which is 0.03, so:

I = 2000 × 0.03 × 2

I = 60 ×  2

I = 120

Therefore the interest earned in two years will amount to 120 $


7 0
3 years ago
The Smiths are moving from New Jersey to South Africa. They pack their belongings in rectangular creates and hire a box to ship
Viefleur [7K]

Answer:

16 crates

Step-by-step explanation:

-This is a division problem.

-Let x be the number of crates that will fit in to the box car.

-To solve x, we divide the volume of the boxcar by the volume of one crate:

V=lwh\\\\l=length\\w=width\\h=height\\\\V_{bc}=20m\times 3m\times 4m\\\\=240\ m^3\\\\V_c=lwh\\\\=5m\times1.5m\times 2m\\\\=15\ m^3\\\\\therefore x=\frac{V_{bc}}{V_c}\\\\=\frac{240}{15}\\\\=16\ crates

Hence, 16 crates will fit in the boxcar.

6 0
3 years ago
If a car travels at a speed of 25 miles an hour for t hours then travels 45 miles an hour What does the expression D + 1.5 repre
solmaris [256]
Kdkshdjdkskssksksksjsj sksksksksksjsjnszjjxjddjdjdjdjndjdd dnjdjejejsjss sksksksksksjsjnszjjxjddjdjdjdjndjdd s sjsjsj
3 0
3 years ago
one pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish.
Alex73 [517]

Answer:

Not sure which ratio you need, but 6/9 = 2/3

Step-by-step explanation:

1.5xsalmon=swordfish

$39 = 2lb salmon and 3lb swordfish

1lb salmon=$6           6+6 = 12

1lb swordfish=$9       9+9+9 = 27

12+27 = 39

6 0
3 years ago
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