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4 years ago

2. A car takes 7 hours 50 minute to travel 549 9/10 km.

Mathematics

1 answer:

lorasvet [3.4K]4 years ago

3 0

2.)

average velocity=(change in distance)/(change in time), in this case:

v=(549 9/10)/(7 50/60)

v=(5499/10)/(470/60)

v=(5499/10)(60/470)

v=32994/470

v=70.2 km/hr

...

picture

Make two position functions...

c=15t, and r=120-20(t-1)

c=15t, r=140-20t

They meet when c=r so:

15t=140-20t add 20t to both sides

35t=140 divide both sides by 35

t=4

So they will meet 4 hours after Cindy leaves at 1 pm, thus they meet each other at 5 pm.

check...

c=15(4)=60

r=120-20(4-1)

r=120-20(3)

r=60

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Compute the lower Riemann sum for the given function f(x)=x2 over the interval x∈[−1,1] with respect to the partition P=[−1,− 1

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Answer:

21/64

Step-by-step explanation:

First, we need to note that the function f(x) = x² is increasing on (0, +∞), and it is decreasing on (-∞,0)

The first interval generated by the partition is [-1, -1/2], since f is decreasing for negative values, we have that f takes its minimum values at the right extreme of the interval, hence -1/2.

The second interval is [-1/2, 1/2]. Here f takes its minimum value at 0, because f(0) = 0, and f is positive otherwise.

Since f is increasing for positive values of x, then, on the remaining 2 intervals, f takes its minimum value at their respective left extremes, in other words, 1/2 and 3/4 respectively.

We obtain the lower Riemman sum by multiplying this values evaluated in f by the lenght of their respective intervals and summing the results, thus

LP(f) = f(-1/2) * ((-1/2) - (-1)) + f(0) * (1/2 - (-1/2)) + f(1/2)* (3/4 - 1/2) + f(3/4) * (1- 3/4)

= 1/4 * 1/2 + 0 * 1 + 1/4 * 1/4 + 9/16 * 1/4 = 1/8 + 0 + 1/16 + 9/64 = 21/64

As a result, the lower Riemann sum on the partition P is 21/64

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3 years ago

Elizabeth likes to trek with her friends during the weekend, which is also a great way to socialize and stay fit. What type is t

tresset_1 [31]

Answer:

D. a complex sentence

Step-by-step explanation:

A. is incorrect because it does not include a conjunction to connect the two sentences.

B. is incorrect because the sentence is not asking a question.

C. is incorrect because the sentence includes two sentences.

D. is correct because a complex sentence includes and independent clause(elizabeth likes to trek with her friends during the weekend) and a dependent clause( which is also a great way to socialize and stay fit)

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3 years ago

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Please help me i need to find the area of shaded region please help me

Montano1993 [528]

Answer:

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Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

$A=(12)(7)-(8)(3)\\A=84-24\\A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

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Part 4) we know that

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Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

$A=\frac{1}{2}(6)(7)-(4)(2)\\A=21-8\\A=13\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

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Mademuasel [1]

To answer the calculation 1/2 + 3/4, you need to do the following:

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4 years ago

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