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2 years ago

Read the following two statements. Then use the Law of Syllogism to draw a conclusion.

Mathematics

2 answers:

Tema [17]2 years ago

6 0

Answer: A. If Wally goes to the mall, then Alice will go to the mall.

Step-by-step explanation:

The given conditional statements :

If Frita goes to the mall, then Alice will go to the mall.

If Wally goes to the mall, then Frita will go to the mall.

We can see that the hypothesis in the first statement and the conclusion in the second statement is same.

Therefore, by the law of syllogism, the conclusion statement will be:

" If Wally goes to the mall, then Alice will go to the mall."

trapecia [35]2 years ago

5 0

A. If Wally goes to the mall, then Alice will go to the mall.

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For the matrices below. Find all (real) eigenvalues. <br><br> A= [7 9]<br> [0 9]

Jet001 [13]

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

$A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right]$

Using formula:

$|A-\lambda \cdot I|= 0\\\\$

$\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\$

$\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\$

8 0

3 years ago

Change from rectangular to spherical coordinates. (let ≥ 0, 0 ≤ ≤ 2, and 0 ≤ ≤. ) (a) (5, 5 3 , 10 3 )

Nikolay [14]

The spherical coordinate that is converted from the given rectangular coordinate is (12.62, 46.67°, 35.3°).

Here, the given rectangular coordinate is (5, 5.3, 10.3).

Therefore, the value of 'x' is 5, the value of 'y' is 5.3 and the value of 'z' is 10.3.

We can convert the rectangular coordinate (x, y, z) into spherical coordinate (ρ, θ, Φ) by the below mentioned method.

We know, ρ² = (x²+y²+z²)

Therefore, ρ

= √(x²+y²+z²)

= √[(5)²+(5.3)²+(10.3)²]

= √(25+28.09+106.09)

= √(159.18)

= 12.62

Again, tan θ = (y/x)

Therefore, θ = tan⁻¹(y/x) = tan⁻¹(5.3/5) = tan⁻¹(1.06) = 46.67°

Similarly, cos Φ = (z/ρ)

Therefore, Φ = cos⁻¹(z/ρ) = cos⁻¹(10.3/12.62) = cos⁻¹(0.816) = 35.3°

Here, the spherical coordinate is (ρ, θ, Φ).

Therefore, the required spherical coordinate for the given rectangular coordinate is (12.62, 46.67°, 35.3°).

Learn more about the conversion of a rectangular coordinate to a spherical coordinate here: brainly.com/question/17185505

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8 0

1 year ago

A farmer wants to fence a rectangular habitat for goats. The length (y) of the habitat has to be at least 80 feet. The farmer cu

Leni [432]

Answer:

d. The farmer can make a habitat that is 40 feet wide and 100 feet long.

Step-by-step explanation:

The attached graph shows the inequalities and the various answer choices. The existence of the doubly-shaded area shows that answer choice C is false.

The appropriate choice is ...

d. The farmer can make a habitat that is 40 feet wide and 100 feet long.

4 0

3 years ago

(a) Suppose that a person has an average heart rate of 72.0 beats/min. How many beats does he or she have in 2.0 y? (b) In 2.00

Gemiola [76]

Answer:

A= 75686400

B= 7568640000

C= 75686400000

Step-by-step explanation:

1 day= 1440 min

1 year= 365 days

365 days*1440 min= 525600 min , 1 year= 525600 min

525600 min*2 years= 1051200 min

(in 2 years) 72 beats*1051200 min= 75686400

(in 200 years) 75686400*100= 7568640000

(in 2000 years) 7568640000*10 =75686400000

3 0

2 years ago

Tim Worker is checking his earnings statement. His weekly earnings are $420.00. If he claims no exemptions, how much tax is with

lubasha [3.4K]

Answer:23.23

Step-by-step explanation:

8 0

3 years ago