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2 years ago

Are the two sets equivalent? C={4,6,3,2,1}, D={3,2,6,1,4}.

Mathematics

1 answer:

slavikrds [6]2 years ago

4 0

Answer:

yes they are

Step-by-step explanation:

tho the numbers are in different order

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A submarine began a 120 feet below sea level and ascended at a rate of 13 feet per minute. What was the depth of the submarine a

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The submarine would be 900 below the ocean surface after 12 minutes assuming it started its descent at the surface of the ocean.

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4 years ago

What is the relationship between 0.006 and 0.06?

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They are both behind the decimal, they are both a decimal, they can both be turned into a fraction, and they both have a six

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3 years ago

Worth 17 points! Help me please!!! Look in the picture

ivanzaharov [21]

Answer:

Part A

1. After 4 weeks of work, Jeremy has saved 300

2. Jeremy worked 8 weeks in order to save $600

3. For every one week of work, Jeremy saved 75 dollars

4. If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

1. Saeed orders 15 meals and his total cost of delivery is $24

2. Saeed paid $32 to have 20 meals delivered

3. For every meal delivered, Saeed is charged $1.6

4. If Saeed pays $19.20 in delivery fees then he ordered 12 meals

Step-by-step explanation:

Part A

The given graph gives the proportional relationship between total amount saved and the number of weeks worked

1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300

Therefore;

After 4 weeks of work, Jeremy has saved 300

2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8

Therefore;

Jeremy worked 8 weeks in order to save $600.

3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;

Rate of change, m = Constant = y/x

∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week

Therefore;

For every one week of work, Jeremy saved 75 dollars

4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;

A = m × n

Where;

m = The rate of change of the amount saved to the number of weeks worked = 75/week

n = The number of weeks worked

∴ A = 75/week × 15 = $1,125

Therefore;

If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

From the graph, we have;

1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals

At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24

Therefore;

1. Saeed orders 15 meals and his total cost of delivery is $24

2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20

Therefore;

Saeed paid $32 to have 20 meals delivered

3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;

m = y/x (for proportional relationships)

Taking any corresponding 'x' and y-values

m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal

Therefore;

For every meal delivered, Saeed is charged $1.6

4. From m = y/x = 1.6

When y = $19.20

x = y/m = $19.20/($1.6/meal) = 12 meals

Therefore;

If Saeed pays $19.20 in delivery fees then he ordered 12 meals.

3 0

3 years ago

Evaluate the function f(x) at the given numbers (correct to six decimal places).

3241004551 [841]

Answer:

The function $f(x) = \frac{x^{2}-4\cdot x}{x^{2}-16}$ has the following set of solutions:

$f(4.1) = 0.506173$ , $f(4.05) = 0.503106$ , $f(4.01) = 0.500624$ , $f(4.001) = 0.500062$ , $f(4.0001) = 0.500006$ , $f(4.0001) = 0.500006$

$f(3.9) = 0.493671$ , $f(3.95) = 0.496855$ , $f(3.99) = 0.499374$ , $f(3.999) = 0.499937$ , $f(3.9999) = 0.499994$

Step-by-step explanation:

Let be $f(x) = \frac{x^{2}-4\cdot x}{x^{2}-16}$ , we proceed to simplify the expression by Algebraic means:

1) $\frac{x^{2}-4\cdot x}{x^{2}-16}$ Given

2) $\frac{x\cdot (x-4)}{(x-4)\cdot (x+4)}$ Associative, commutative and distributive properties/ $a^{2}-b^{2} = (a+b)\cdot (a - b)$

3) $\frac{x}{x + 4}$ Commutative, associative and modulative properties/Existence of multiplicative inverse/Result

Now we evaluate the function for each value:

$x = 4.1$

$f(4.1) = \frac{4.1}{4.1+4}$

$f(4.1) = 0.506173$

$x = 4.05$

$f(4.05) = \frac{4.05}{4.05 + 4}$

$f(4.05) = 0.503106$

$x = 4.01$

$f(4.01) = \frac{4.01}{4.01 + 4}$

$f(4.01) = 0.500624$

$x = 4.001$

$f(4.001) = \frac{4.001}{4.001+4}$

$f(4.001) = 0.500062$

$x = 4.0001$

$f(4.0001) = \frac{4.0001}{4.0001 + 4}$

$f(4.0001) = 0.500006$

$x = 3.9$

$f(3.9) = \frac{3.9}{3.9+4}$

$f(3.9) = 0.493671$

$x = 3.95$

$f(3.95) = \frac{3.95}{3.95+4}$

$f(3.95) = 0.496855$

$x = 3.99$

$f(3.99) = \frac{3.99}{3.99+4}$

$f(3.99) = 0.499374$

$x = 3.999$

$f(3.999) = \frac{3.999}{3.999 + 4}$

$f(3.999) = 0.499937$

$x = 3.9999$

$f(3.9999) = \frac{3.9999}{3.9999 + 4}$

$f(3.9999) = 0.499994$

4 0

3 years ago

PLEASE HELP worth 25 points I really don’t know what I’m doing I really need help

noname [10]

Answer:

43 degrees for the first problem

Step-by-step explanation:

On the first problem we see, we are given that one angle is 231 degrees. After counting the sides of this shape, we see it is a 4-sided quadrilateral. This means that the total amount of degrees in this shape equals 360 degrees. Since each unknown degree is represented by the same value (w), we can deduce that all of these unknown angles are equal to each other.

Let's set up our problem now.

360 degrees = the amount of degrees in a quadrilateral

231 degrees = the given amount of degrees we have so far

In order to see how many degrees we have left in the quadrilateral, let's subtract the number degree we already know from the total degree number that we know: 360 - 231 = 129

Now we see that the remaining three angles have a total of 129 degrees. This doesn't mean we're done.

3 congruent angles together = 129 degrees

We need to find the degree of a single unknown angle now. This can be done by simply dividing the mass total of the three congruent angles by the amount of congruent unknown angles there are.

129/3 = 43

Our final answer is 43 degrees.

6 0

3 years ago