Direction: Choose the letter that you think best answers each of the following questions. 1. What is that branch of pure mathematics that deals with the relations of the sides and angles of triangles? A. algebra B. geometry C. trigonometry D. calculus side? 2. With respect to the given angle, what is the ratio of the hypotenuse to the opposite A. sine B. cosine C. cosecant D. secant 3. What is the opposite side of angle D? A. DF B. DE C. EF D. DEF D E F

Answer:

Step-by-step explanation:

D

Answer: Im pretty sure you do

Step-by-step explanation: your welcome

Answer:

He runs 20% or 1/5 of the total distance the first day

Step-by-step explanation:

We know this due to the fact that 2km / 10km is equal to 1/5 and we then know that 1/5 equates to the percentage equivalence value of 20%

Answer:

Slope = -1

Step-by-step explanation:

\(m= \frac{y2-y1}{x2-x1} \\\\m= \frac{-1-(-7)}{-1-(5)} \\\\\\m= \frac{6}{-1-(5)} \\\\\\m= \frac{6}{-6} \\\\\\m= -1\)

Given:

x2 + 15x + 54.

Required:

Find the relationship between zeros and x-intercepts of the polynomia

Explanation:

Although the zeroes of

Required answer:

They are different

On solving the provided question, we can say that by equation 60 miles from his home is the appointment

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

for d and t

60 = d/t

45 = d / t + 0.33

60t = d

45( t + 0.33) = d

60t = 45t + 15

t = 1 hour

d = 60 X 1 miles = 60 mile

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"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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Answer:

Rate is 2%

Step-by-step explanation:

Step one:

given data

Principal= $7500

Simple interest= $450

time=3 years.

Applying the simple interest formula which is

SI=PRT/100

Step two:

substitute we have

450=7500*R*3/100

cross multiply we have

45000=22500R

divide both sides by 22500

R=45000/22500

R=2%

Answer:

6.64 seconds

Step-by-step explanation:

Given that:

Distance between roof of the terminal and ground = 709 feet

A bucket was dropped from the roof.

To find:

The time taken by the bucket to hit the ground?

Solution:

Distance traveled, \(s\) = 709 feet

Initial velocity of the bucket, \(u\) = 0 feet/sec (because initially it was at rest)

Acceleration of the bucket will be equal to acceleration due to gravity i.e.

\(g\) or 32.1741 \(ft/sec^{2}\)

Let the time taken is \(t\) seconds.

Formula for distance is given as:

\(s = ut+\dfrac{1}{2}at^2\)

Putting all the values:

\(709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}\)

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Step-by-step explanation:

2x + y + x+ 2y = 180

3x + 3y = 180

3y +20+2x+y=180

4y + 2x = 160

3x + 3y = 180

2x + 4y = 160

elimination

6x + 6y= 360

6x + 12y = 480

= 6y = 120

y= 20

substitute

3x + 3y = 180

3x + 3(20)= 180

3x + 60 = 180

3x = 120

x= 40

x+2y

40+2(20)=80

<4=<8= 80°

<7=180-<8=<180-80= 100°

angle 7 = 100°

angle 8 = 80°

Answer: chemical decomposition produced by passing an electric current through a liquid or solution containing ions. In chemistry and manufacturing, electrolysis is a technique that uses direct electric current to drive an otherwise non-spontaneous chemical reaction. Electrolysis is commercially important as a stage in the separation of elements from naturally occurring sources such as ores using an electrolytic cell. Electrolysis is used in industry for the production of many metals and non-metals (e.g., aluminium, magnesium, chlorine, and fluorine). Electrolysis is commonly employed for coating one metal with another. The method of coating one metal with another using an electric current is called electroplating.

Hope this helps....... Stay safe and have a Merry Christmas!!!! :D

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

$2421.76

Step-by-step explanation:

The monthly payment formula goes thus :

M = P * r(1+r)^n / ((1+r)^n - 1)]

r = 5.4% ; n = 6

We could accurately obtain the monthly payment using a monthly payment calculator

The monthly payment M, obtained = $228.08

Therefore.$228.08 will be repaid monthly (this amount includes the interest paid on the amount borrowed).

The finance charge :

Total amount repaid = monthly payment * number of period

Total amount repaid = $228.08 * (12 * 6) = 16421.76

Finance charge = total. Amount repaid - principal

Finance charge = 16421.76 - 14000

= $2421.76

The logical reasoning provided is correct.

(a) p -> (q ∧ (r -> s)) ∧ (w -> r) -> (F -> W)

In this revised statement, we have used logical connectives to represent the relationships between propositions. Here's a breakdown of the reasoning:

1. p is true.

2. q is true.

3. If r is true, then s is true.

4. If w is true, then r is true.

5. If F is true, then W is true.

The logical reasoning provided in option (a) is correct based on the premises stated above.

(b) (p -> q) ∧ (q -> S) ∧ (r -> ¬J9®) ∧ (t -> f)

In this statement, we have used logical connectives to represent the relationships between propositions. Here's a breakdown of the reasoning:

1. If p is true, then q is true.

2. If q is true, then S is true.

3. If r is true, then ¬J9® (not J9®) is true.

4. If t is true, then f is true.

The logical reasoning provided in option (b) is correct based on the premises stated above.

Correct question - Evaluate the following logical reasoning correctness, if correct prove it, if not state why:

(a) p -> (q ∧ (r -> s)) ∧ (w -> r) -> (F -> W)

(b) (p -> q) ∧ (q -> S) ∧ (r -> ¬J9®) ∧ (t -> f)

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The number of pounds of apples that are in his supply is 16 pounds

Let's represent the total supply of apples by "x" pounds.

Mitch uses 1/4 of his supply of apples for apple crisp, so he uses 1/4x pounds of apples for apple crisp.

Mitch uses 3/8 of his supply of apples for pies, so he uses 3/8x pounds of apples for pies.

According to the problem, Mitch uses a total of 10 pounds of apples, so we can set up the following equation:

1/4x + 3/8x = 10

To solve for x, we can first find a common denominator for 1/4 and 3/8, which is 8:

5/8x = 10

So, we have

x = 10 * 8/5

Evaluate

x = 16

Therefore, there are 16 pounds of apples in Mitch's supply.

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Answer:

\(m=-2\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 0)

Point (-3, 4)

Step 2: Find slope m

Answer: i see you got the answer already, but I was wondering if you could give me brainliest to help me level up. I would really appreciate it.

Step-by-step explanation:

Therefore, the long answer to the given problem is that the sequence converges to a unique limit 30/7.

Given sequence is {an} = 3 - 0.3n, where n = 1, 2, 3,Now we need to determine whether the sequence converges or diverges. If it converges, then we have to find the limit. Let's find some initial terms for the given sequence for n = 1, 2, 3, 4,...an = 3 - 0.3n => a1 = 3 - 0.3(1) = 2.7a2 = 3 - 0.3(2) = 2.4a3 = 3 - 0.3(3) = 2.1a4 = 3 - 0.3(4) = 1.8Notice that as we increase the value of n, the terms of the sequence are decreasing.

Thus, {an} is a decreasing sequence. Now, let's find the limit of the sequence. If the sequence converges to a limit "L", then we have an → L as n → ∞ Therefore, L = lim n→∞ (3 - 0.3n)Using limit laws, we get L = Lim n→∞ 3 - lim n→∞ (0.3n) => L = 3 - 0, where 0 < r < 1Since 0 < r < 1, the limit exists. Hence the sequence converges to the limit L = 3/0.7. Hence the sequence converges to a unique limit, which is equal to 30/7.

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Answer:

maybe (-3,-4)?

Step-by-step explanation:

Answer:

$8.33

Step-by-step explanation:

$14.69                                                                  50.00

+ $20.99                                                            -  41.67

=35.68                                                                =   $8.33

+5.99

=$41.67

The cricket would most likely chirp 58 times per minute with an outside temperature of 78 ºF.

The input and the output of the function graphed in this problem are given as follows:

One point on the graph is given as follows:

(58,78).

This means that the cricket would most likely chirp 58 times per minute with an outside temperature of 78 ºF.

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Answer:

\(96ft^{2}\)

Step-by-step explanation:

Step 1: Find the area of the base

\(\frac{bh}{2} =\frac{(8)(6)}{2}=\frac{48}{2}=24ft^{2}\)

Step 2: Find volume

\(=\frac{1}{3}(24)(12) \\=\frac{1}{3}(288)\\=96ft^{3}\)

To gather information about the management practices and type of farm the farmer manages, it is important to ask questions about the milking process, animal preparation for milking, facility type and management, and the overall care each animal receives.

To assess the management practices and type of farm, it is crucial to inquire about the milking process. Questions may include the frequency and duration of milking sessions, whether it is done manually or with automated milking machines, and the cleanliness and hygiene practices during milking. Understanding how animals are prepared for milking is also important, such as the methods used for udder cleaning and stimulation.

Regarding the facility, it is essential to inquire about the type of milking parlor or barn used. This includes determining if it is a tie-stall or free-stall system, the ventilation and temperature control measures in place, and the overall cleanliness and maintenance of the facility. Additionally, it is relevant to ask about the presence of any mastitis prevention protocols, such as regular udder health checks and the use of teat dips or other preventive measures.

Furthermore, gathering information about the care each animal receives is crucial. Questions may focus on the cow's nutrition and diet, access to clean water, and general health management practices, including vaccinations and regular veterinary check-ups. Additionally, understanding the herd size and cow density within the facility can provide insights into the overall management practices.

By addressing these aspects, the veterinarian can gather valuable information about the farmer's management practices and the type of farm he manages, which will aid in diagnosing and addressing the mastitis issue and potentially improving the overall health and productivity of the cows in the long term.

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Answer:

3/4 is your answer

Step-by-step explanation:

a. To find the proportion of people in the large city who own either a cell phone or a pager, we can use the principle of inclusion-exclusion. The formula is:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.72 + 0.38 - 0.29 = 0.81

Therefore, approximately 81% of people in the large city own either a cell phone or a pager.

b. To find the probability that a randomly selected person from this city owns a pager, given that the person owns a cell phone, we can use the formula:

P(B|A) = P(A and B) / P(A)

Therefore, the probability that a randomly selected person who owns a cell phone also owns a pager is approximately 0.403 or 40.3%.

c. To determine if the events "owns a pager" and "owns a cell phone" are independent, we compare the joint probability of owning both devices (P(A and B)) with the product of their individual probabilities (P(A) * P(B)).

If P(A and B) = P(A) * P(B), then the events are independent. Otherwise, they are dependent.

Since P(A and B) ≠ P(A) * P(B), the events "owns a pager" and "owns a cell phone" are dependent.

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