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2 years ago

Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

3 0

Answer:

Step-by-step explanation:

Given that r is inversely proportional to s then the equation relating them is

r = $\frac{k}{s}$ ← k is the constant of proportion

To find k use the condition r = 16 when s = 3

k = rs = 16 × 3 = 48

r = $\frac{48}{s}$ ← equation of variation → B

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Solve for y +5=+5 Please help!

Amiraneli [1.4K]

Answer:y=10

Step-by-step explanation:

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2 years ago

PPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZ

svlad2 [7]

Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer

Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
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4 0

2 years ago

A box has dimensions of 4.1 inches, 5.9 inches, and 7.2 inches. Estimate the volume of the solid.

Nadusha1986 [10]

Volume = length * width * height

Volume = 4.1 * 5.9 * 7.2 ≈ 4 * 6 * 7 = 168

Volume ≈ 168 in³

(C)

8 0

2 years ago

Read 2 more answers

A ball is thrown at an initial height of 7 feet with an initial upward velocity at 27 ft/s. The balls height h (in feet) after t

lianna [129]

Answer:

The height of ball is 17 ft at t=0.55 and t=1.14.

Step-by-step explanation:

The general projectile motion is defined as

$y=-16t^2+vt+y_0$

Where, v is initial velocity and y₀ is initial height.

It is given that the initial height is 7 and the initial upward velocity is 27.

Substitute v=27 and y₀=7 in the above equation to find the model for height of the ball.

$h(t)=-16t^2+27t+7$

The height of ball is 17 ft. Put h(t)=17.

$17=-16t^2+27t+7$

$0=-16t^2+27t-10$

On solving this equation using graphing calculator we get

$t=0.549,1.139$

$t\approx 0.55,1.14$

Therefore the height of ball is 17 ft at t=0.55 and t=1.14.

3 0

2 years ago

28/29 and 30 plz short explanation thanks

iren2701 [21]

Integers are numbers like ...-3, -2, -1, 0, 1, 2, 3... and so on. So, according to this definition, let's solve this problem:

28. We know that the product of three integers is -3. So, the statement states that we have three factor, so:

a.b.c = -3

The possible values of the factors are:

Factors are: 3, 1 and -1 in which case:

(3)(1)(-1) = -3

Factors are: -3, 1 and 1 in which case:

(-3)(1)(1) = -3

29. In this problem we know two nonzero integers, that is, they cannot be equal to zero. Thus, they must have different sign, that is, one of them must be positive and the other negative. For instance:

-9 and 2

(-9)(2) = -18, So -18 is less than -9 and 2

Another example:

1 and -8

(1)(-8) = -8, So -8 is equal to -8 and -8 is less than 1.

30. The sign of the product of two integers with the same sign is positive, that is:

(+)(+) = (+) and

(-)(-) = (+)

So, the sign of the product of three integers with the same sign are two options:

Option 1. The three integers are positive in which case:

(+)(+)(+) = (+), So the sign of the product is positive

Option 2. The three integers are negative in which case:

(-)(-)(-) = (-), So the sign of the product is negative.

This option two gives us that result because:

(-)(-) = (+) and (+)(-) = (-)

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2 years ago