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3 years ago

the perimeter of a rectangle is 68ft the ratio of the length to the width iss 9:8 what are the dimensions of the rectangle

Mathematics

1 answer:

NikAS [45]3 years ago

4 0

Answer:

Step-by-step explanation:

2 * L + 2 * W = 68

2*L = 2* 9x = 9x + 9x

2*W = 2*8x = 8x + 8x

Since the perimeter is 68

9x + 9x + 8x + 8x = 68

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You have 42,784 grams of a radioactive kind of curium. If its half-life is 18 years, how much will be left after 72 years?

s344n2d4d5 [400]

Answer:

2,674.14 g

Step-by-step explanation:

Recall that the formula for radioactive decay is

N = N₀ e^(-λt)

where,

N is the amount left at time t

N₀ is the initial amount when t=0, (given as 42,784 g)

λ = coefficient of radioactive decay

= 0.693 ÷ Half Life

= 0.693 ÷ 18

= 0.0385

t = time elapsed (given as 72 years)

e = exponential constant ( approx 2.7183)

If we substitute these into our equation:

N = N₀ e^(-λt)

= (42,787) (2.7183)^[(-0.0385)(72)]

= (42,787) (2.7183)^(-2.7726)

= (42,787) (0.0625)

= 2,674.14 g

6 0

3 years ago

Write a number that is the same when rounded to the nearest hundred and ten

Sonja [21]

A number when you round to the nearest hundred and tens is the is is the number 200

3 0

3 years ago

The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i

pychu [463]

Set the function to equal zero:

$-x^2 - 5x + 50 = 0$

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plug the values into the equation:

$a = -1, b = -5, c = 50$

$x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}$

$x=\frac{5\pm\sqrt{25+200}}{-2}$

$x=\frac{5\pm15}{-2}$

Solve for both plus and minus:

$\frac{5 + 15}{-2} = \frac{20}{-2} = -10$

$\frac{5 - 15}{-2} = \frac{-10}{-2} = 5$

$x = -10, x = 5$

The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>

4 0

3 years ago

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

SVETLANKA909090 [29]

$log_{7}(49) = 2$