An urn contains five balls labelled A, B, C, D, E. You draw three balls at random, without replacement. How many different combinations of three letters can you draw? Combination means that order of draw is not important. Example: ACE and CAE are counted as the same combination, but ABD, ABE, CDE, etc are different combinations.

Answer:

12.5 and 7.5

Step-by-step explanation:

Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Correct Answer:

Ali keeps his shop open for 13 hours straight.

Correct Step-by-step explanation:

Well that is that! Can't say anything about it....

It is simple babyish counting that you should learn too!

Hope this helped you count!

P.S: BRAINLIEST IS REQUIRED

Answer:

Recall the following identities

cos2α+sin2α=1

cot2β+1=csc2β

Hence,

cot2(2x)+cos2(2x)+sin2(2x)=cot2(2x)+(cos2(2x)+sin2(2x))=1cot2(2x)+1=csc2(2x)

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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Answer

Option B is correct.

3.9%

Explanation

For an income of $45,650, the table states that the federal income tax is $1,785

So, we can now calculate the percentage of the income that the federal income tax is.

Percentage = (1785/45650) × 100% = 3.9%

Hope this Helps!!!

Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:

-2, 1 i'm very positivee

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

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Answer:

Luis traveled 11.82 km in total.

Step-by-step explanation:

The statement should say: To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis's journey in total?        

Hence, to find the total distance traveled by Luis we must add the distances of the train (6.37 km) and the car (5.45 km):

\( d = d_{t} + d_{c} = 6.37 km + 5.45 km = 11.82 km \)

Therefore, Luis traveled 11.82 km in total.

I hope it helps you!  

Answer: Add 4x to both sides.

Step-by-step explanation:

Answer:

1. 15cm,

2. 22.5ft

3. 24in

4. 24.2m

5. 8.9m

Step-by-step explanation:

1. √(9²+12²) = 15cm

2. √(8²+21²) = 22.47 ft = 22.5ft

3. 7²+x²=25²

x =√(25²-7²) = 24 in

4. √(15²+19²) =24.2 m

5. √(4²+8²) = 8.9m

all the answers related to the pythogorus theorem.

a²+b²=c²

in which a and b are the legs of the right angled triangle where c is the hypotenuse.

note: be careful abt the units.

the domain for a rational expression will be the values of "x" that can safely be taken without setting the denominator to 0, since if that occurs the rational becomes undefined, well we can simply set the denominator to 0 and check which values are those.

\(\cfrac{x^2-x-20}{5x^2+18x-8}\implies \cfrac{(x-4)(x-5)}{(x+4)(5x-2)} \\\\\\ \stackrel{\textit{setting the denominator to 0}}{(x+4)(5x-2)=0}\implies x= \begin{cases} -4\\ \frac{2}{5} \end{cases}~\hfill \stackrel{\mathbb{DOMAIN}}{\{x|x\in \mathbb{R};x\ne -4,\frac{2}{5}\}}\)

Answer: where is the answer choices

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reaction times

Answer:

So you are going to multiply what is in the parentheses by two it will become 6x + 4.This will be for the second statement box. And the next will be 6x=18 and that will be the subtraction property or equality. For the last it would be x=3 and that would be the division property of equality.  

Step-by-step explanation:

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Answer:

140

Step-by-step explanation:

So all you have to do is multiply 5 * 4 * 7 to find out how many outfits you can make.

140

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

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Answer:

Step-by-step explanation:

yes!

Answer:

1st question :55%

2nd ":122.22%

3rd ":81.82%

Answer:

D. Obtuse

Step-by-step explanation:

Answer:

You typed that incorrectly.  That first angle should be 113 degrees.

It would be an obtuse triangle.

Step-by-step explanation:

Answer:

e=4

Step-by-step explanation:

The absolute value of |-32| is 32; absolute value of |27| is 27; absolute value of |-12| is 12; absolute value of -|14| is -14.

The Absolute value |x| of a real number x is the non-negative value of x without regard to its sign.

|x| = x ; |-x| = x

Therefore absolute value of

|-32| = 32

|27| = 27

|-12| = 12

- |14| = - 14

Absolute value describes the distance from zero that a number is on the number line , without considering direction. The absolute value of a number is never negative. Sometimes a sign is attributed to a numeric value to signify the direction, in addition to the value.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number.

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Answer: The answer is 26

I just divided it by 5