the ratio of 1.5m to cm is

The monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

To calculate the monthly mortgage payment, we can use the formula for calculating the fixed monthly payment for a fully amortizing loan. The formula is: M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly mortgage payment

P = Principal balance

r = Monthly interest rate (annual interest rate divided by 12 and converted to a decimal)

n = Total number of monthly payments (loan term multiplied by 12)

Plugging in the given values into the formula:

P = $100,000

r = 0.05/12 (5% annual interest rate divided by 12 months)

n = 30 years * 12 (loan term converted to months)

M = 100,000 * (0.004166667 * (1 + 0.004166667)^(3012)) / ((1 + 0.004166667)^(3012) - 1)

M ≈ $536.82

Therefore, the monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

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Answer:

1:55 pm

Step-by-step explanation:

So, you arrive at 4: 15 pm in Orlando after a 2 hr and 20 minute flight from Houston.  So, lets start with the easy part: let's subtract the 2 hrs part.  

2 hrs earlier from 4:15 pm is 2:15 pm.

Then, you have to subtract the 20 minutes.  Well, it's quite obvious that if you left at 2:00 pm, that would be a total of 2 hrs and 15 minutes.  Just subtract the 15 minutes from the 2:15 pm.  However, it's 20 minutes, not 15, so you have to still subtract that last five minutes.  

So, 2:00 pm minus 5 minutes would equal 1:55 pm.

Answer:

x = 11

Step-by-step explanation:

Answer:

D. \(a^{2} + b^{2} = c^{2}\)

Step-by-step explanation:

Pythagorean Theorem

Answer:

x^2+3x+3

Step-by-step explanation:

f(x) = 3x - 1

g(x) = x^2 + 4

f(x) + g(x) = 3x-1+ x^2 +4

                 Combine like terms

                   = x^2+3x+3

The option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table given that shows the survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose.

The probability of a person that is a student:

P(student) = (75+15)/110 = 0.83

The probability:

P(student|pirate) = 75/80 = 0.93

The probability of both events is different.

Thus, the option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.

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The length of the midsegment of the trapezoid is 8 units

Trapezoid

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides of the trapezoid and is parallel to the pair of parallel sides.

In this problem

The two non-parallel sides of the trapezoid are AD and BC

Step 1

Find the midpoint side of AD

Let

E the midpoint AD

A ( 2,4 ) D (-2,-1)

Find the x-coordinate of the midpoint AD

\(x = \frac{2-2}{2} = 0\)

Find the y-coordinate of the midpoint AD

\(y = \frac{4 - 1}{2} = 1.5\)

the point E is equal to (0, 1.5 )

Step 2

Find the midpoint side of BC

Let

F the midpoint BC

\(B ( 7,4) C ( 9, -1)\)

Find the x-coordinate of the midpoint BC

\(x = \frac{9+2}{7} = 8\)

Find the y-coordinate of the midpoint BC

\(y = \frac{4 - 1}{2} = 1.5\)

The point F is equal to ( 8 , 1.5 )

Step 3

Find the distance EF

Know that

The formula to calculate the distance between two points is equal to

\(d = \sqrt{(y2 - y1)^{2}+ (x2 -x1)^{2} }\)

we have

E ( 0 ,1.5) F ( 8, 1.5)

substitute the values

\(d = \sqrt{(1.5 - 1.5)^{2} + (8-0 )^{2} }\)

d = 8 units

Therefore

The length of the midsegment of the trapezoid is 8 units

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The capacity of fish tank in quarts is 246.

Therefore the answer is 246.

A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.

There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.

The capacity of the fish tank in pints is 492.

Therefore, the capacity of the fish tank in quarts is

= 492 pints / 2 pints per quart

= 246 quarts

So, the capacity of the tank in quarts is 246 quarts.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

Step-by-step explanation:

d=√(12²+12²)=12√2

≈16.97

≈17 cm

Answer:

Any answer close to 16.97056

Step-by-step explanation:

Diagonal divides square to 2 equal right angle triangles.

To find diagonal use pythogorus theorem.

Diagonal = \(\sqrt{12^{2}+{12^{2} }\)

Diagonal = \(\sqrt{144+144}\)

Diagonal = 16.97056

We have

Using the associative, commutative, and distributive laws for sum and multiplication, we can see without computing that

A. 81*(59 +37) ----- same values

B. (81.*37) + 59 ------ incorrect

C. (81*37) + (81* 59) ---- same values

D. 81 + (37*59) ---- incorrect

E. (37 + 59)*81 ---- same values

Answer:B 138

Step-by-step explanation:

Answer:

B 138

Step-by-step explanation:

________________________________________

The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13

So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.

So, by dividing both sides of the equation by 3, we get:

3x/3 = 6.4/3

x = 2.13

Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.

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Answer:

Step-by-step explanation:

8.18

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Answer:

a counter-clockwise 90 degree rotation about the origin

Step-by-step explanation:

Answer:

ANSWER IS C The transformation below that caused AB to transform into A'B' is a reflection across the y-axis

How to translate a coordinate point to another

Given the following coordinates

A = (6, 2)

B = (2, 6)

A' = (-6, 2)

B' = (-2, 6)

According to the reflection rule, the reflection over y axis is given as:

Note that the x-coordinate was negated as seen from the translation A to A' and B to '.

Hence the transformation below that caused AB to transform into A'B' is a reflection across the y-axis

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Step-by-step explanation:

To find the relationship between the volume of a prism and a pyramid with congruent bases and equal heights, we need to consider their formulas.  
The volume of a pyramid is given by the formula V = (1/3)Bh,

where B represents the area of the base and h represents the height. Since the bases of the prism and pyramid are congruent and their heights are equal, we can write the equation:

Volume of Prism = 2 × Volume of Pyramid Using the formulas mentioned earlier, we can substitute the expressions for the volumes:

Bh = 2 × (1/3)Bh
Simplifying this equation, we can cancel out the B's:

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The statement "a prism and a pyramid have congruent bases and equal heights, and the volume of the prism is twice the volume of the pyramid" is FALSE.

To understand why, let's consider a simple example. Imagine we have a triangular prism and a triangular pyramid with congruent bases and equal heights. The base of both shapes is a triangle, and their heights are the same.

The volume of a prism can be calculated by multiplying the area of its base by its height. Similarly, the volume of a pyramid can be calculated by multiplying the area of its base by one-third of its height.

Since the prism and the pyramid have congruent bases and equal heights, the only difference in the volume calculation is the factor of 1/3 for the pyramid.

This means that the volume of the pyramid is one-third the volume of the prism, not half. Therefore, the statement that the volume of the prism is twice the volume of the pyramid is false.

Therefore, the statement is incorrect, and the volume of the prism is not twice the volume of the pyramid, but rather three times as much.

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Answer: 9 min

Step-by-step explanation:

Since team members: minutes are inversely proportional, you can use x = k/y to solve.

27 = k/5 (multiply by 5 for each side)

135 = k

Using this, you can see. that 135/15 = 9 minutes

If all the members pain at the same speed, then 15 members of the team will take 9 minutes to paint the wall.

The speed of all the members of the spray painting team is exactly the same.

5 members can paint a wall in 27 minutes.

Now, 15 members are painting the same wall.

Then the increase in man power is:

15 / 5 = 3 times more than before.

Since there is an increase in man power, therefore the time taken to paint the wall will also decrease by the same factor.

Therefore,

The time taken by 15 members to paint the wall will be:

Time = 27 / 3

Time = 9 minutes

Hence, 15 members will take 9 minutes to paint the wall.

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The nearest thousandth, the vibration period T for a spring with a hanging weight of 2.0 kilograms is approximately 0.628 seconds.

The length of time it takes for a vibrating system or item to complete one full cycle of motion is referred to as the vibration period, also known as the period of oscillation. It is a key idea in engineering and science, especially when researching oscillatory and vibrational phenomena. Time units, such as seconds, are used to measure the duration. It is influenced by things like the vibrating system's mass, rigidity, and damping. The number of completed cycles per unit of time—the vibration's frequency—is inversely proportional to the period.

To find the vibration period T for a spring with a hanging weight of 2.0 kilograms, you can use the given formula:
T = \(2\pi \sqrt{(w / 200}\)

1. Substitute the given weight (w = 2.0 kg):
T = \(2\pi \sqrt{2.0 / 200}\)
2. Simplify the expression inside the square root:
T = \(2\pi \sqrt{0.01}\)

3. Calculate the square root:
\(T = 2\pi \sqrt{0.01}  = 2\pi (0.1)\)

4. Multiply by\(2\pi\):
\(T = 2\pi (0.1) = 0.2\pi\)

5. Calculate the numerical value of T:
\(T = 0.2\pi  = 0.628\)

To the nearest thousandth, the vibration period T for a spring with a hanging weight of 2.0 kilograms is approximately 0.628 seconds.

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The rate at which the volume of the snowball is changing at the instant the radius is 6 cm is -241.27 cm³/min.

The volume of a sphere is given by the formula V = 4/3πr³, where r is the radius of the sphere. To find the rate at which the volume is changing, we need to take the derivative of this equation with respect to time, using the chain rule.

dV/dt = 4/3π(3r²) dr/dt

We know that the radius of the snowball is decreasing at a constant rate, so we can find the value of dr/dt by using the information given in the problem. The radius is decreasing from 34 cm to 18 cm in 30 minutes, which means that:

dr/dt = (34 - 18) cm / 30 minutes = -0.5333 cm/min

Now that we know the rate at which the radius is changing, we can substitute it into the equation for dV/dt and find the rate at which the volume is changing.

We know that the radius is 6 cm at the instant the volume is changing, so we can substitute that into the equation:

dV/dt = 4/3π(3r²) dr/dt = 4/3(π)(3)(6 cm)²(-0.5333 cm/min) = -241.27 cm³/min

So, the rate at which the volume of the snowball is changing at the instant the radius is 6 cm is -241.27 cm³/min.

Note that the negative sign indicates that the volume is decreasing.

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Answer:

3x=9+18

=27

x =27÷3

x=9

the answer of x is 9

Rewrite the equation so that the x term is on the left:

9 - 3x = -18

Move the number to the right and change the sign:

-3x = -18 - 9

-3x = -27

Change the sign of both terms:

3x = 27

Move the 3 to the right and change the sign:

x = 27 ÷ 3

x = 9 is your answer.

Answer:

the first one because negative 1 repeat twice

Answer:

€270

Step-by-step explanation:

If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;

Cost price = 165 * 2 = €330

If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg

If he rests he sells for € 4 per kilo, then;

Selling price = 150 * 4 = €600

Amount earned = €600 - €330

Amount earned = €270

Answer:

Formula is given

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

0

Step-by-step explanation:

Hope this helps you.........

Finding the Inverse of a Polynomial Function by Restricting the Domain

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The largest possible assigned cycle time for the production line is 2.7 minutes, while the smallest possible assigned cycle time is 0.9 minutes.

In line balancing, the goal is to allocate the tasks evenly across the production line to achieve maximum efficiency. The largest possible assigned cycle time is determined by the task with the longest duration. In this case, the task with a duration of 2.7 minutes sets the upper limit for the cycle time. If all tasks were assigned the same cycle time, it would take at least 2.7 minutes to complete one cycle of the production line.

On the other hand, the smallest possible assigned cycle time is determined by the sum of the task durations. In this case, the sum of all task times is 6.4 minutes. By dividing this total time by the number of workstations or operators in the production line, we can determine the smallest possible assigned cycle time.

Since there are no constraints mentioned about the number of operators, we assume a single operator. Therefore, the smallest possible assigned cycle time would be 6.4 minutes divided by 1, which equals 6.4 minutes. However, it is worth noting that this cycle time is not realistic or practical for an operator to achieve.

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Using the Range Rule of Thumb, the minimum number of usual smokers we can expect to get out of 20 adults is approximately 0.24. This estimation is based on a mean of 3.8 smokers out of 20 adults and assuming a standard deviation of 1.78.

Using the Range Rule of Thumb, the minimum number of usual smokers we can expect to get out of 20 adults can be estimated by:

Minimum = Mean - (Range Rule of Thumb * Standard Deviation)

Given that 19% of the population smoke, the mean number of smokers out of 20 adults would be:

Mean = 20 * 0.19 = 3.8

To calculate the standard deviation, we need to consider the binomial distribution since it involves a binary outcome (smoker or non-smoker) with a known probability (19%). The standard deviation for a binomial distribution is given by the formula:

Standard Deviation = √(n * p * (1 - p))

Substituting the values, we get:

Standard Deviation = √(20 * 0.19 * 0.81) ≈ 1.78

Now, using the Range Rule of Thumb (approximately ±2 standard deviations), we can calculate the minimum number of smokers:

Minimum = 3.8 - (2 * 1.78) ≈ 3.8 - 3.56 ≈ 0.24

Rounding to 2 decimal places, the minimum number of usual smokers we can expect is approximately 0.24.

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Answer:

Wala pa kami jan wait kalang ha?

Step-by-step explanation:

okehh kayooo