MATHEMATICS HIGH SCHOOL

(38x+61y)-(3x-11y) simplify this expression

Answers

Answer 1

Answer:

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▹ Answer

35x + 72y

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

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A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches. How tall is the fish tank?

Answers

Answer:

fish tank is 14.87 ≈ 15 inches tall.

Step-by-step explanation:

Given : A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches.

To find : How tall is the fish tank.

Solution : We have given that volume of fish tank = 3240 cubic inches.

Length of tank = 12 inches.

Width of tank = 18 inches .

Volume of rectangular tank = length * width * height

3240 = 12 * 18* height .

3240 = 216 * height.

On dividing both side by 216 and switching the sides .

Height = $(3240)/(216)$ .

Height = 14.87 inches

Therefore, fish tank is 14.87 ≈ 15 inches tall.

Volume = length x Base x height

3240 = 18 x 12 x H

3240 = 216 x H

H = 3240 / 216 = 15 inches

If (-2, y) lies on the graph of y =4^x, then y =

Answers

Simply plug in x= -2 in to y = 4^x, and solve for y.

$y=4^(-2)\n\ny = (1)/(4^2)\n\n\boxed{\bf{y=(1)/(16)}}$

So, the point (-2, ¹/₁₆) lies on the graph of y = 4^x.

Your final answer is y = ¹/₁₆.

Identify the absolute extrema of the function and the x-values where they occur. f(x)=6x+(24/x^sqr)+3, x>0

Answers

$f(x)=6x+(24)/(x^2)+3\nf'(x)=6-(48)/(x^3)\n6-(48)/(x^3)=0\n6x^3-48=0\n6x^3=48\nx^3=8\nx=2\n$

For $x<2 \wedge x\not=0$ the derivative is negative.
For $x>2$ the derivative is positive.
Therefore at $x=2$ there's a minimum.

$f_(min)=6\cdot2+(24)/(2^2)+3=12+6+3=21$

Divide.

8.64÷(−0.27)

Enter your answer in the box.

Answers

The answer is -2.3328

When an apple is dropped from a tower 256 feet high, the function h(t) =-167 +256 models the height of theapple, in feet, after t seconds. Determine, algebraically, the number of seconds it takes the apple to hit the ground.