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2 years ago

3(x+y)^2-(xy)2 x=3 y=-5

Mathematics

1 answer:

diamong [38]2 years ago

4 0

The value of the expression when x = 3 and y = -5 is -213

<h3>What are algebraic expressions?</h3>

Algebraic expressions are expressions made up of variables and constants with mathematical operations such as addition, subtraction, division, multiplication, etc

From the expression given;

3(x+y)^2-(xy)2

Where:

x = 3
y = -5

Substitute the values into the expression

3 ( 3 + -5)^2 - ( 3 × -5 )^2

3 ( -2)^2 - ( -15)^2

3(4) - ( 225)

-12

Thus, the value of the expression when x = 3 and y = -5 is -213

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A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.24 lb, the mean of all of the weight

Vladimir [108]

Answer:

a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) $Z = 2.91$

d) We have that $Z = 2.91 > 2$ , so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

$Z = \frac{X - \mu}{\sigma}$

In which: X is the weight we are going to find the z-score of, $\mu$ is the mean of all the weights and $\sigma$ is the standard deviation of all the weights.

The problems gives these following informations:

The highest weight is 5.24 lb

The mean of all the weights is 1.932 lb

The standard deviation of all the weights is 1.135 lb

a. What is the difference between the weight of 5.24 lb and the mean of the weights?

$D = 5.24lb - 1.932lb = 3.308lb$

b. How many standard deviations is that [the difference found in part (a)]?

The difference found in (a) is 3.308lb.

This can be calculated by a simple rule of three.

1 standard deviation - 1.135lb

x standard deviations - 3.308lb

$1.135x = 3.308$

$x = \frac{3.308}{1.135}$

$x = 2.91$

That difference is 2.91 standard deviations.

c. Convert the weight of 5.24 lb to a z score.

We have that:

$X = 5.24, \mu = 1.932$ and $\sigma = 1.135$ . So:

$Z = \frac{X - \mu}{\sigma} = \frac{5.24 - 1.932}{1.135} = 2.91$

3 0

3 years ago

Which is correct?

Alja [10]

Below is the conversion table for letter A to D:
1 deciliter = 0.001 hectoliters
1 liter = 100 centiliters
1 kilolieter = 10 hectoliter
1 liter = 10 deciliter

The correct one would be letter C - There are 6.8 kiloliters in 68 hectoliters. Since 1 kiloliters (kl) is equal to 10 hectoliters (hl), 6.8 kl times 10 is equal to 68 hl.

7 0

4 years ago

Answer two questions about Systems AAA and BBB:

MA_775_DIABLO [31]

For the given systems A and B:

1) Replace the first equation of A by the sum between the two equations of A.

2) Yes, the systems are equivalent.

<h3>How to get system B from system A?</h3>

Here we have the two systems of equations:

6x - 5y = 1

-2x + 2y = -1

4x - 3y = 0

-2x + 2y = -1

The second equation is the same in both systems, so we only look at the first equations.

In A we have:

6x - 5y = 1

If we add the second equation of A, then we get:

(6x - 5y) + (-2x + 2y) = 1 + (-1)

4x - 3y = 0

This is the first equation of B.

Then we need to replace the first equation by the sum between the first and second equations.

2) Are the systems equivalent?

Yes, because we did not "modify" system A, we just rewrite it and we got system B, then both systems have the same solutions.

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4 0

2 years ago

A horse is tied with a rope in the center of grassland to graze. The length of the rope is 5m. The diameter of the circular gard

marin [14]

The length of the rope with which the horse is tied becomes the radius of the circular area.
Length of rope = 5 m
Area within which the horse can graze
= pi * r^2 = 3.14 * 5 = 15.7 m^2
Area of the grassland at the Centre of which the horse is tied = 3.14 * 25
= 78.5 m^2
Area in which the horse cannot graze
= Area of grassland - Area in which the horse can graze
= 78.5 - 15.7
= 61.8 m^2

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4 years ago

Help major grade question 12

Trava [24]

The answer should be B

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3 years ago