The measurement of a rectangular dam are:length =60-2x width=2x depth=x/2 determine the volume of the damin terms of x

Answers

Answer 1
Answer: Volume of this rectangular dam=lenght  x width x depth
Data:
lenght=60-2x
width=2x
depth=x/2

V(x)=(60-2x)(2x)(x/2)
v(x)=(120x²-4x³)/2
v(x)=60x²-2x³

The volume of the rectangular dam is V(x)=60x²-2x³

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PLEASE HELP!!Solve this quadratic equation:

2x^2 + 8x = 0

This has TWO answers!

Thank you so much!!!

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I hope this helps you

Find f(x) and g(x) so the function can be expressed as y = f(g(x)).
y =2/x^(2) + 3

Answers


We are asked to find f(x) and g(x) so the function can be expressed as y = f(g(x) such that y = y =2/x^(2) + 3. There are many possibilities here but we go to the simplest ones. we can have g (x) = x2 and f(x) is equal to 2/x + 3. 

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

The diagram below shows the graph of which inequality?

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the correct inequality is (4).

(2x -2 1/5 - -4) ÷ -5

Answers

Answer:

(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25

Step-by-step explanation:

To solve the expression (2x - 2 1/5 - -4) ÷ -5, we need to follow the order of operations, also known as PEMDAS.

1. First, simplify the expression inside the parentheses (-2 1/5 - -4).

To subtract a negative number, we can change it to addition. So, (-2 1/5 - -4) becomes (-2 1/5 + 4).

Next, let's convert the mixed number -2 1/5 to an improper fraction.

-2 1/5 = -11/5

Now we can add the fractions: -11/5 + 4.

To add these fractions, we need a common denominator. The least common denominator for 5 and 1 is 5.

-11/5 + 4/1 = -11/5 + 20/5 = 9/5

Therefore, (-2 1/5 - -4) simplifies to 9/5.

2. Now, let's substitute the simplified expression back into the original expression: (2x + 9/5).

3. Finally, divide the expression by -5: (2x + 9/5) ÷ -5.

To divide by a negative number, we can multiply the expression by -1 and then divide by 5.

(2x + 9/5) ÷ -5 = (-1)(2x + 9/5) ÷ 5

Applying the distributive property, we get:

(-1)(2x + 9/5) ÷ 5 = (-2x - 9/5) ÷ 5

To divide by 5, we can multiply each term by 1/5:

(-2x - 9/5) ÷ 5 = (-2x ÷ 5) - (9/5 ÷ 5)

Simplifying further:

-2x ÷ 5 = -2/5 * x

9/5 ÷ 5 = 9/25

Therefore, the final answer is:

(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25

Please note that this is the simplified form of the expression, assuming that no specific value for x is given.

the answer is -10x+9/25

Solve for x. Round to the nearest tenth, if necessary.

Answers

The value of the variable 'x' using the cosine formula will be 9.4 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 32° = 8 / x

x = 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

More about the right-angle triangle link is given below.

brainly.com/question/3770177

#SPJ7

Answer:

9.4

Step-by-step explanation:

cos 32° = 8/x

x = 8/ cos 32°

= 8/ 0.8480

= 9.4

Barry bought 100/300/50 liability with a $500 deductible on collision and $500 deductible on comprehensive coverage. The base premiums are $450, $245, $148, and $85, respectively. How much is his total base premium if his rating factor is 2.60?A) $675
B) $780
C) $928
D) $2,412.80

Answers

Answer:

The correct answer is D. $2412.8

Step-by-step explanation:

Sum of all liabilities Barry bought = 100 + 300 + 50 = $450

But $500 is deductible so there will be no charge on the liabilities.

Now, Sum of base premiums = 450 + 245 + 148 + 85 = $928

Also, the rating factor = 2.60

∴ Total base premium = (Sum of base premium) × Rating factor

                                      = 928 × 2.60 = $2412.8

Therefore, the correct answer is D. $2412.8

450+245+148+85
=928

928×2.60
=2,412.8