All categories

3 years ago

If i go 3/5 miles in 1/3 hours, how many miles do i go in 1 hour?

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

8 0

Answer:

9/5 miles in 1 hour

Step-by-step explanation:

Multiply 3/5 miles by 3.

1 4/5 miles

- Que

Harlamova29_29 [7]3 years ago

6 0

Answer:

9/5 miles in 1 hour

Step-by-step explanation:

Multiply 3/5 miles by 3.

1 4/5 miles

kitty~

You might be interested in

Zelma buys p pounds of bananas for $0.40 per pound she pays the clerk with a $20 bill the clerk subtract the total cost of the b

Sloan [31]

You didnt include the (presumably) multiple choice answers. My guess is that the answer would be along the lines of: 20 - (P times .40)

7 0

2 years ago

Using the number line below to compare the list of numbers. Place the numbers in increasing order.

Ivanshal [37]

Answer:

-2/5

-1.5

1 4/5

Step-by-step explanation:

The higher the negatice number, the lower it is. Hope this helps:)

4 0

2 years ago

What numbers are a multiple of both 5 and 15

Aneli [31]

Answer: is 3

Step-by-step explanation: this is because you need to divide the two numbers and 3 go into 5 and 15.

4 0

2 years ago

The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π

Gennadij [26K]

(a)

$\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

or, via symmetry

$\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

____________

(b)

By the chain rule:

$\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}$

For polar coordinates, x = rcosθ and y = rsinθ. Since
r = 3 + 2cosθ, it follows that

$x = (3 + 2\cos\theta) \cos \theta \\ 
y = (3 + 2\cos\theta) \sin \theta$

Differentiating with respect to theta

$\begin{aligned}
\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\
&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\
\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}
&= 2/3
\end{aligned}$

2/3 is the slope

____________

(c)

"distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

Angle θ and r are related via r = 3 + 2cosθ, so implicitly differentiating with respect to time

 $\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}$

5 0

3 years ago

How many even 5-digit numbers can be formed from the numbers 1, 2, 4, 7, 8 if no digit is repeated in a number? A. 72 B. 120 C.

katovenus [111]

Hello,

Let's place the last digit: it must be 2 or 4 or 8 (3 possibilities)

It remainds 4 digits and the number of permutations fo 4 numbers is 4!=4*3*2*1=24

Thus there are 3*24=72 possibilities.

Answer A

If you do'nt believe run this programm

DIM n(5) AS INTEGER, i1 AS INTEGER, i2 AS INTEGER, i3 AS INTEGER, i4 AS INTEGER, i5 AS INTEGER, nb AS LONG, tot AS LONG
tot = 0
n(1) = 1
n(2) = 2
n(3) = 4
n(4) = 7
n(5) = 8
FOR i1 = 1 TO 5
 FOR i2 = 1 TO 5
 IF i2 <> i1 THEN
 FOR i3 = 1 TO 5
 IF i3 <> i2 AND i3 <> i1 THEN
 FOR i4 = 1 TO 5
 IF i4 <> i3 AND i4 <> i2 AND i4 <> i1 THEN
 FOR i5 = 1 TO 5
 IF i5 <> i4 AND i5 <> i3 AND i5 <> i2 AND i5 <> i1 THEN
 nb = ((((n(i1) * 10) + n(i2)) * 10 + n(i3)) * 10 + n(i4)) * 10 + n(i5)
 IF nb MOD 2 = 0 THEN
 tot = tot + 1
 END IF
 END IF
 NEXT i5
 END IF
 NEXT i4
 END IF
 NEXT i3
 END IF
 NEXT i2
NEXT i1
PRINT "tot="; tot
END

7 0

2 years ago