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1 year ago

D(x) = -2|x^(2 )-3.6| for x= 5.5

Mathematics

1 answer:

Irina18 [472]1 year ago

5 0

D =x 9 hope that help

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For a given input value x, the function f outputs a value y to satisfy the following equation.

olasank [31]

F(x)=5x-26 is your correct answer

6 0

3 years ago

The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”

balandron [24]

Example of use of terms:
Statement: If it is far, we take a bus.
Inverse: If it is not far, we do not take a bus.
Converse: If we take a bus, it is far.
Contrapositive: If we do not take a bus, it is not far.

We also know that
1. The inverse of the inverse is the statement itself, and similarly for converse and contrapositive.
2. Only the contrapositive is logically equivalent to the original statement.
This means that the converse and inverse are logically different from the original statement.

Now back to the given statement.
To find the original statement, we find the contrapositive of the contrapositive.
We then find the converse from the original statement, as in the example above.

Original statement
(note that in English, if it is not worth X dollars, means if it is not worth AT LEAST X dollars")
contrapositive of
<span>
"If an item is not worth five dimes, then it is not worth two quarters.”
is the negation of the converse, which become
"If an item is worth two quarters, then it is worth (at least) five dimes."

The converse of the previous statement is therefore
"If an item is worth (at least) five dimes then it is worth two quarters"

In this particular case, we can also take advantage of the fact that the contrapositive is the negation of the converse. So all we have to do is the provide the negation of each component of the contrapositive to get the converse:
"If an item is worth (at least) five dimes, then it is worth two quarters".
as before.

Note that the converse does NOT logically mean the same as the original statement.

</span>

6 0

3 years ago

Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

Trava [24]

Answer:

Step-by-step explanation:

Area = LW

We know that the w = 2

We are told that the L (length) is three less than an unknown number so that mean L = (x - 3)

We are then told that the area = 22 square inches.

Area = LW

22 = (x - 3)2

Now solve for x

22 = (x - 3)2

Distribute the 2

22 = 2x - 6

22 + 6 = 2x

28 = 2x

28 / 2 = 2x / 2

14 = x

x = 14

Now take 14 and subtract 3

14 - 3 = 11

Unknown number = 11

Area = LW

L = 11

W = 2

Area = 22

11 * 2 = 22

7 0

3 years ago

Solid metal support poles in the form of right cylinders are made out of metal with a density of 7.3 g/cm^3 3 . This metal can b

sattari [20]

The cost of the metals from the calculations performed is $ 402421.

<h3>What is density?</h3>

Density can be explained as a quantity having mass per unit volume and this can be calculated as:

Mass of the metal = ?

Density of the metal = 7.3 g/cm^3

height of the metal = 610 cm

radius of the metal = 8.7 cm

Volume of a cylinder can be calculated by using the formular below:

$(\pi r^2h )$ And this can be used by inserting the given values which is

$= 3.142 * (8.7)^2 * 610 cm = 145068.97cm^3$

Then we can calculate the mass as :

Mass = (density * volume)

$= (7.3 g/cm3 * 145068cm^3)\\\\=1059003kg$

=Since the cost is $0.38 per kilogram, then 3657 Kg costs

;( 1059003kg * $0.38)

= $ 402421

Learn more about density at: brainly.com/question/1578538

#SPJ1

6 0

2 years ago