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2 years ago

Round 345276 to the nearest thousand

Mathematics

2 answers:

TiliK225 [7]2 years ago

8 0

Since there is no decimal point, the answer is 345276.

Nonamiya [84]2 years ago

4 0

The 5 is in the thousands place and the 2 in the hundreds place is less than 5 so rounded to the nearest thousands is 345,000

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Sketch the region of integration for the following integral. ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ

solong [7]

Answer:

The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.

Step-by-step explanation:

We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.

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2 years ago

Which expressions represent rational numbers? Select all the apply.

geniusboy [140]

Answer:

1. sqrt 100 x sqrt 100

2. 13/5 + sqrt 81

3. sqrt 9 + sqrt 729

4. Not a rational number

5. Not a rational number

6. 3/5 + 2.5

7 0

2 years ago

Read 2 more answers

here is a list of numbers. 7,12,16,20,27,40,56,64. a work out the difference between the two square numbers in the list. b work

poizon [28]

Answer:

see below

Step-by-step explanation:

7,12,16,20,27,40,56,64

The square numbers are 16 = 4^2 and 64 = 8^2

The difference is 64 - 16 =48

The cube numbers are 27 = 3^3 and 64 = 4^3

64 - 27 =37

4 0

2 years ago

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Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour . What is Nina’s rate miles

faltersainse [42]

Answer:

Nina's rate in miles per hour is 2.7 miles/hour

Nina bikes faster

Step-by-step explanation:

we know that

1 hour=3,600 seconds

1 mile=5,280 feet

Convert feet to miles

63,360 feet=63,360/5,280=12 miles

Convert seconds to hours

3,400 sec=3,400/3,600=0.94 hours

Find Nina's rate in miles per hour

12/0.94=12.7 miles/hour

Sophia's rate in miles per hour is 10 miles/hour

Compare the rates

12.7 miles/hour > 10 miles/hour

therefore

Nina bikes faster

8 0

2 years ago

Find the absolute maximum and absolute minimum of the function f(x,y)=2x2−4x+y2−4y+1 on the closed triangular plate bounded by t

marusya05 [52]

First check for the critical points of f by checking where the first-order derivatives vanish.

$\dfrac{\partial f}{\partial x}=4x-4=0\implies x=1$

$\dfrac{\partial f}{\partial y}=2y-4=0\implies y=2$

Notice how the point (1, 2) lies on the line y = 2x ; at this point, we get a value of f(1, 2) = -5 (MIN).

Next, check the points where the boundary lines intersect, which occurs at the points (0, 0), (0, 2), and (1, 2). We already checked the last one. We find f(0, 0) = 1 (MAX) and f(0, 2) = -3.

Now check on the boundary lines themselves. If x = 0, then

$f(0,y)=y^2-4y+1=(y-2)^2-3$

which has a maximum value of -3 when y = 2 (so we get the same critical point as before).

If y = 2, then

$f(x, 2)=2x^2-4x-3=2(x-1)^2-5$

with a maximum of -5 when x = 1.

If y = 2x, then

$f(x,2x)=6x^2-12x+1=6(x-1)^2-5$

with the same maximum of -5 when x = 1.

6 0

2 years ago