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3 years ago

What number is equivalent to 1/9

1 answer:

4 0

2/18 and 4/36 - all you have to do is multiply the numerator and the denominator by the same number - remember what you do to the top always do to the bottom.<span />

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Brock and Buzz have 10 friends. Buzz has 2 fewer fiends than Brock. How many friends does Brock have?

Anuta_ua [19.1K]

Buzz has 4 friends and Brock has 6.

The reason being is that Buzz has to have two less friend than Brock has, and yet still both have to add up to ten.

6 0

4 years ago

Read 2 more answers

Average rate of change

Ganezh [65]

Answer:

The average rate of change in that space would be 12.

Step-by-step explanation:

To find this, use the two ordered pairs (-1, 3) and (1, 27) in the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (27 - 3)/(1 - -1)

m = 24/2

m = 12

7 0

3 years ago

Solve the equation. StartFraction dy Over dx EndFraction equals5 x Superscript 4 Baseline (1 plus y squared )Superscript three h

dangina [55]

Answer:

Step-by-step explanation:

To solve the differential equation

dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

Now, the integral of the equation

dy/(1 + y²)^(3/2) = 5x^4 dx

y/√(1 + y²) = x^5 + C

y - (x^5 + C)√(1 + y²) = 0

is the required implicit solution

5 0

3 years ago

The point (0, 0) is a solution to which of these inequalities? A. Y - 7 < 2 x - 6 B. Y - 6 < 2 x - 7 C. Y + 7 < 2 x - 6

SCORPION-xisa [38]

Answer:

A. y - 7 < 2 x - 6

Step-by-step explanation:

When you put the given values into the inequalities, you get ...

A: -7 < -6 . . . . true

B: -6 < -7 . . . . false

C: 7 < -6 . . . . .false

D: 7 < 6 . . . . . false

4 0

3 years ago

A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in

oksano4ka [1.4K]

Answer: The speed of the current is 2 miles per hour.

Step-by-step explanation:

We know that the speed of the boat is:

S = 10 mph.

When the boat travels with the current, the speed will be:

S = 10mph + x

where x = speed of the current.

When the boat travels against the current, the speed will be:

S = 10mph - x

Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.

Then we have the equation:

(10mph + x)*T = 6mi

And against the current, in the same time the boat moves 4 mi, then:

(10 mph - x)*T = 4mi

Then we have the system of equations:

(10mph + x)*T = 6mi

(10 mph - x)*T = 4mi

Now, we can take the quotient of these two equations and get:

((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)

(10mph + x)/(10 mph - x) = 3/2

Now we can solve this for x.

(10mph + x) = (3/2)*(10 mph - x)

10mph + x = (3/2)*10mph - (3/2)*x

x + (3/2)*x = (3/2)*10mph - 10mph

(5/2)*x = (1/2)*10mph = 5mph

x = (2/5)*5mph = 2mph.

The speed of the current is 2 miles per hour.

6 0

3 years ago

Read 2 more answers