The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per second and t is the temperature in degrees Celcius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree.

[tex] (2-9i)+(-2+7i)=-2i [/tex]

The smallest 9-digit number in the form aaa,aaa,aaa that is divisible by 9 is 111,111,111 because the sum of its digits is 9, which follows the divisibility rule for 9.

To find the smallest 9-digit number in the form aaa,aaa,aaa that is divisible by 9, we need to use the divisibility rule for 9. A number is divisible by 9 if the sum of its digits is also divisible by 9. Since we are looking for the smallest such number, we start with the smallest non-zero digit, which is 1.

The smallest 9-digit number where all digits are the same would be 111,111,111. Adding all the digits together, 1+1+1+1+1+1+1+1+1 equals 9, which is divisible by 9. Therefore, 111,111,111 is the smallest 9-digit number of the form aaa,aaa,aaa that is divisible by 9.

The antonym for the word thrive would be A. Fail Hope this helps :)

The required antonym for the word thrive is fall. Option A is correct.

The word "thrive" means to prosper, succeed, or flourish. Therefore, the antonym for "thrive" would be a word that represents the opposite, such as "fail." When someone fails, they do not achieve success or prosper in their endeavors. In the given sentence, Jasper is confident that he will thrive in his new school, indicating that he expects to do well and succeed. Choosing the word "fail" as the antonym creates a clear contrast, as it represents the opposite outcome of not being able to thrive or achieve success.

Thus, the requried antonym for the word thrive is fall. Option A is correct.

Learn more about antonyms here:

https://brainly.com/question/11457192

#SPJ6

Answer:

addition property of equality

Step-by-step explanation:

The equation y – 9 + 9 = –17 + 9 is an example of which property

A.Substitution Property of Equality:

In this property we substitute some particular value for the variable.

B.Addition Property of Equality

This property states that when we add any number to one sides of the equation we do the same on the other side

y – 9 + 9 = –17 + 9

In the equation , 9 is added on both sides of the equation. So it is an example of addition property of equality

C.Reflexive Property of Equality

Reflexive property states that the number is equal to itself

D. Symmetric Property of Equality

It states that if a=b then b=a

Answer: The actual answers are: "The distributions are similar." & "The Means-to-MAD ratio is 0.75." I took the same test and got it right. I hope this helps anyone reading this. :D Thanks!

~H*****

Answers are C. The means-to-MAD ratio is 0.75. and D. The distributions are similar. hope it helps

The correct answer among all the choices is C) Yes; the corresponding sides are proportional. This is the correct answer because the corresponding sides have a similar relationship of 1:5. We can see this relationship when dividing 25 by 5 & dividing 15 by 3, since their both equal to 5, we know the figures are similar. I hope I answered this question to your satisfaction. Have a good day!

Answer:

Yes; the corresponding sides are proportional

Step-by-step explanation:

If two figures are similar, the lengths of their sides are proportional.  This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.

Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:

5/3 = 25/15

Cross multiply:

5(15) = 3(25)

75 = 75

We got a true statement, so the sides are proportional.

To determine how many cars in the lot are red, we need to find one-third of the total number of cars. In this case, we are told that one out of every three cars is red, so the probability of a randomly chosen car being red is 1/3. The calculation is: Number of red cars = 54 * (1/3) = 18 cars.

To determine how many cars in the lot are red, we need to find one-third of the total number of cars. In this case, we are told that one out of every three cars is red, so the probability of a randomly chosen car being red is 1/3.

To calculate how many cars out of 54 are red, we can multiply the total number of cars by the probability of a car being red:

Number of red cars = 54 * (1/3) = 18 cars

Therefore, there are 18 cars that are red in the lot.

The new position of the submarine in relation to sea level is -1,200 feet.

Your calculation is correct. To find the new position of the submarine in relation to sea level after descending at a rate of 5 feet per minute for 12 minutes, you can use the formula:

New position = Initial position - (Rate of descent * Time)

In this case:

New position = -1,260 feet - (5 feet/minute * 12 minutes)

= -1,260 feet - 60 feet

= -1,200 feet

So, the new position of the submarine in relation to sea level is -1,200 feet.

To know more about submarine:

https://brainly.com/question/13952313

#SPJ3

Answer:
(10 - 3x)(10 + 3x)

Explanation:

This type of question yields what is called a difference of squares, which is recognizable because of the subtraction (-) operation between the two terms of the binomial. When questions like this are seen, the formula for difference of squares can be implemented. This formula is:

(a² - b²) = (a - b)(a + b)

With this, we can square root both terms of the original binomial and plug our variables for a and b into the formula.

Let 100 = a², let 9x² = b²

√(100) = 10
√(9x²) = 3x

Those values are now a and b, respectively, so when we place them in their spots in the formula, the completed factoring is: (10 - 3x)(10 + 3x)

To check this answer for accuracy, we can use the FOIL method and combine like terms to see if it gives us the original equation. FOIL stands for Firsts, Outsides, Insides, and Lasts, instructing us which terms should be multiplied together so:

Firsts: 10(10) = 100
Outsides: 10(3x) = 30x
Insides: -3x(10) = -30x
Lasts: -3x(3x) = -9x²

We place them in the same equation and combine like terms:
100 + 30x - 30x - 9x²
100 + 0 - 9x²
100 - 9x²

We are back to our original equation so the answer of (10 - 3x)(10 + 3x) is accurate.

Answer:

The correct answer is 6.

Step-by-step explanation:

I just did this question as well and 6 was the correct answer. Hope this helped :)

[tex] 4^8=65536 [/tex]

4^8 = 65536 answer is correct

To find a coterminal angle with 153°, we can either add 360° to get 513° or subtract 360° to get -207°, both of which have the same terminal side as 153°.

To find an angle that is coterminal with 153°, we add or subtract multiples of 360° to the original angle. Adding 360° to 153° gives us 513° as one such coterminal angle. Subtracting 360° from 153° provides us with -207° as another coterminal angle. Both of these angles have the same terminal side position as 153° when plotted in standard position on a coordinate system.

g(x) = 5x

h(x) = 5 - x

k(x) = (g - h)(x)

k(x) = g(x) - h(x)

k(x) = 5x - (5 - x)

Hence, the correct option is k(x) = 5x - 5-x