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2 years ago

What is the product of (5y-3)^2

Mathematics

2 answers:

Airida [17]2 years ago

5 0

Answer:

$\sf 25y^2-30y+9$

___________

$\sf Solve$

Expand the expression using the factors within the range of <em>y</em>.

___________

Maurinko [17]2 years ago

3 0

Answer:

25y² - 30y + 9

Step-by-step explanation:

Hello!

Solve by expanding:

(5y - 3)²
(5y - 3)(5y - 3)
5y(5y - 3) - 3(5y - 3)
25y² - 15y - 15y + 9
25y² - 30y + 9

Remember, exponents are not distributive, meaning (5y - 3)² is not 25y² + 9.

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Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of

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The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

$cos(\theta) = \frac{adjacent}{hypotenuse}$

$cos(\theta)= \frac{15}{17}$

$cos^{-1}( \frac{15}{17})=\theta$

$\theta = 28.1^{\circ}$

The answer is 28.1 degrees

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2 years ago

Help points and Awnser !!

Vsevolod [243]

Answer:

I say 20% but I may be wrong

Step-by-step explanation:

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3 years ago

Read 2 more answers

Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a h

In-s [12.5K]

Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

"Doug knows how to write program is Java"

and

"Doug can get a high paying job"

Represent Doug with x. Then the statements is rewritten as

P(x) = "x knows how to write program is Java"

and

Q(x) = "x can get a high paying job"

In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

So, Statement 1 can be written as

1. P(x) ---- Premise

Then, we have

2. Vx(P(x) --> Q(x)) -- Premise. This mean that P(x) for all values in the domain.

The universal instantiation of (2) leads to

3. P(Doug) --> Q(Doug)

The modus ponens of the above gives

4. Q(Doug)

The existential generalisation from above gives

5. ƎxQ(x)

Which means someone in this class can get a high paying job.

PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

4 0

3 years ago

Mikaela purchased a paddleboard originally priced at $699. If all merchandise was on sale for 40% off and the state tax rate is

vitfil [10]

Answer:

299.87

Step-by-step explanation:

$699*0.40=279.60\\279.60*0.0725= 20.271 (round)\\279.60+20.27=299.87$