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3 years ago

4x^-1/2 – 8x^3/2 - 2x ^1/2

Mathematics

1 answer:

Tatiana [17]3 years ago

3 0

Answer:

2x−1 − 4x^3−x

Step-by-step explanation:

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The first three terms of this arithmetic sequence are as follows:

yulyashka [42]

Answer:

Its add 5. keep adding 5 to the answer to make the sequence

Step-by-step explanation:

The sequence is add 5 so next number is 8, +5, +5, +5

5 0

2 years ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill

ki77a [65]

Based in your question where as the oil is pumped continuously from the well at a rate proportional to the amount of the oil left in the well. so the answer of the following questions are:
A.1 is to 200,000
B.5 years

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2 years ago

The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.

Wewaii [24]

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

5 0

3 years ago

Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott

SpyIntel [72]

Answer:

Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = $\frac{1}{2}bh$

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A = $\frac{1}{2}*4*2.24 =$ 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = 8.96 ft^2

For the rectangular sections of the roof, area is

A = $lh$

where $l$ is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = 30 ft^2

For the bottom face, area is

A = $lw$

where $l$ is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = 20 ft^2

Surface area of the roof of the dog kennel is

8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2

4 0

3 years ago

Number 13 is what I need done

Nadusha1986 [10]

Instead of using an = sign we use $\leq$ becuase its less than or equal to 100 dollars.

The equation of the line is y=10x+7

sub in 100 for y and the inequallity sign

10x+7 $\leq$ 100

solve so x is isolated

10x $\leq$ 93
x $\leq$ 9.3

technically the answer is 9 because you cant buy a fraction of a CD

5 0

3 years ago