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Math and Arithmetic

Math is the study of abstractions. Math allows us to isolate one or a few features such as the number, shape or direction of some kind of object. Then we can study what can be learned about the behavior of those features while ignoring everything else about the object.

893,877 Questions

What is 5 squared plus b squared equals 13 squared?

The equation (5^2 + b^2 = 13^2) can be simplified to (25 + b^2 = 169). To find (b^2), subtract 25 from both sides, resulting in (b^2 = 144). Taking the square root gives (b = 12) or (b = -12). Thus, the values of (b) are 12 and -12.

Write the expression 2a plus b in the form of a fraction with a denominator of b?

To express (2a + b) as a fraction with a denominator of (b), you can rewrite it as follows:

[ \frac{2a}{b} + \frac{b}{b} = \frac{2a + b}{b} ]

Thus, the expression (2a + b) in the form of a fraction with a denominator of (b) is (\frac{2a + b}{b}).

What is 34279.38 round to the nearest kilometer?

To round 34279.38 to the nearest kilometer, you look at the digit in the tenths place, which is 3. Since it is less than 5, you round down. Therefore, 34279.38 rounded to the nearest kilometer is 34279 kilometers.

What will happen if i stop taking sotalol for 24 hours for a stress test I take 80mg twice a day?

If you stop taking sotalol for 24 hours, you may experience a rebound effect, leading to an increase in heart rate or irregular heart rhythms, especially if you have been using it for a while. It's important to consult your healthcare provider before making any changes to your medication regimen, as they can provide guidance tailored to your specific situation. Additionally, stopping sotalol abruptly can pose risks depending on your underlying health conditions. Always follow your doctor's advice regarding medication adjustments.

What are the 140 ways to make 33 cents?

There are numerous combinations of coins that can total 33 cents, primarily involving pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents). The specific breakdown includes various combinations of these coins, such as using different quantities of each type. For example, you could have three dimes and three pennies, or one quarter, one nickel, and eight pennies. The total of 140 combinations accounts for all the possible ways to arrange these coins to reach 33 cents.

How do you find distance of two points on graph?

To find the distance between two points on a graph, you can use the distance formula derived from the Pythagorean theorem. If the two points are ( (x_1, y_1) ) and ( (x_2, y_2) ), the distance ( d ) is calculated using the formula:

[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}. ]

Simply substitute the coordinates of the two points into the formula to obtain the distance.

In what situations may the APFT entry be left blank?

The APFT (Army Physical Fitness Test) entry may be left blank in situations such as when an individual is undergoing a medical profile that exempts them from the test due to injury or medical conditions. Additionally, if a soldier has not yet completed the APFT due to being newly assigned or not having reached the appropriate testing period, the entry can remain blank. Lastly, a soldier who is in the process of transitioning out of the military may also leave this entry blank.

What is pi times 4.5?

Pi times 4.5 is approximately 14.137. To calculate this, you can use the value of pi (approximately 3.14159) and multiply it by 4.5. This gives you the result of 3.14159 × 4.5 ≈ 14.137.

A type TW cable containing two No 12 copper conductors has a maximum overcurrent protection of A 15 AB 25 AC 20 AD 30 A?

A type TW cable with two No. 12 copper conductors typically has a maximum overcurrent protection of 20 A. This is based on the National Electrical Code (NEC) guidelines, which state that No. 12 copper conductors can be protected by a maximum of 20 A circuit breakers or fuses. Therefore, the correct answer is AC 20 A.

What is 2kg same as in grams?

2 kg (kilograms) = 2000 g(grams).

Remember the Metric Table of Mass/Weight

1000 g = 1 kg

1000 kg = 1 tonne ( Note the spelling).

NB 1016 kg = 1 Imperial ton .

How do you write 64.218 in word form?

64.218 is said/written as ' Sixty four point two one eight '.

NOT as ' Sixty four point two hundred and eighteen' , because the decimal digits are being given incorrect units.

e.g. The decimal '2' is a TENTH. not two HUNDRED;

Write 0.7 in word form?

0.7

As a decimal it is 'zero point seven'.

Your correspondent (9y ago) quoted ' seven tenths'.

This is the fractional form and is written as ' 7/10 '.

How do you find the Y intercept given an equation?

To find the Y-intercept of an equation, set the value of ( x ) to 0 and solve for ( y ). In a linear equation of the form ( y = mx + b ), the Y-intercept is simply the value of ( b ). For other types of equations, substitute ( x = 0 ) and compute the resulting value of ( y ). This point, where the graph intersects the Y-axis, will have coordinates ( (0, y) ).

How do i write 12 in word form?

First of all to correct your English Grammar. The singular 'I' is always written as a CAPITAL letter, where ever it appears in the sentence.

So your question should read ' How do I write 12 in word form ? '.

To answer your question the number '12' is written as the word ' twelve'.

How do you write 0.354 in word form?

0.354

in word form is ' Zero point three five four'.

NOT ' zero point three hundred and fifty four ' , because the decimal digits are being given the incorrect units.

e.g. the '3' is a TENTH NOT a hundred.

What is the adjectival form of the word memory?

The adjectival form of the word "memory" is "memorial" or "memorized," depending on the context. "Memorial" typically refers to something that serves to remember or commemorate, while "memorized" describes information that has been retained in memory. Another related adjective is "memorable," which describes something worth remembering or significant.

What is 0.89x100?

0.89 X 100 = 89.0

Casually you just shift the decimal point two places to the right, because there are two 'zeroes' in '100'.

Similarly when multiplying by '10' you shift the decimal point ONE place to the right .

Similarly when multiplying by '1000' you shift the decimal point THREE places to the right

et seq.,

In alphanumerics what is 70 equals the MSL?

In alphanumerics, the number 70 corresponds to the letter "F" in the standard A=1, B=2, ... Z=26 system. However, if you're specifically referring to "MSL," it typically stands for "Mean Sea Level" in geographic contexts. If "70" is meant to represent something else in a specific alphanumeric code or context, please clarify for a more precise answer.

Is 5'10 130lbs good?

A weight of 130 pounds for someone who is 5'10" falls within a healthy range according to the Body Mass Index (BMI) scale, which suggests a BMI of about 18.7. However, whether this weight is "good" also depends on factors like body composition, muscle mass, and overall health. It's essential to consider individual lifestyle, diet, and fitness levels when evaluating if a specific weight is appropriate. Consulting with a healthcare professional can provide personalized guidance.

What number comes before 300 base 4?

To find the number that comes before 300 in base 4, we first convert 300 from base 4 to decimal. In base 4, 300 represents (3 \times 4^2 + 0 \times 4^1 + 0 \times 4^0 = 48) in decimal. The number before 48 in decimal is 47. Converting 47 back to base 4, we get 303. Therefore, the number that comes before 300 in base 4 is 303.

Is chipboard easy to work with?

Yes, chipboard is generally easy to work with as it can be cut, drilled, and shaped using standard woodworking tools. It is lightweight and often less expensive than solid wood or plywood, making it a popular choice for furniture and cabinetry. However, it can be less durable and more susceptible to damage from moisture, so proper handling and finishing are important.

How can you measure dimension of solar constant?

The solar constant is measured in watts per square meter (W/m²) and represents the amount of solar energy received per unit area at the top of Earth's atmosphere. To measure it, instruments like radiometers are used in space, typically placed on satellites, to capture solar radiation without atmospheric interference. By calculating the energy received over a specific area and time, the solar constant can be determined, which is approximately 1361 W/m².

What is my property span number?

Your property span number is a unique identifier assigned to your property, often used for administrative purposes such as tax assessments or property records. To find your specific span number, you can check your property tax documents, visit your local government's property assessment website, or contact your local tax office directly. If you provide more context or location, I may be able to guide you on how to obtain it.

What can go into 3 and 16?

The numbers that can go evenly into both 3 and 16 are their greatest common divisor, which is 1. Since 3 is a prime number and does not share any other factors with 16 (which is a product of 2's), the only common factor is 1. Therefore, the only number that can go into both 3 and 16 is 1.

How can a make a 5 ft model 3D tree?

To create a 5 ft model 3D tree, start by gathering materials such as foam, wire, or wood for the trunk and branches. Construct the trunk by shaping your chosen material into a tapered form and use wire to create the branches, securing them to the trunk. For the foliage, you can use fabric, plastic leaves, or even paint the branches for a more stylized look. Finally, assemble the components and secure them to a sturdy base to ensure stability.