The age (in years) of 10 students practicipating in an english drama are 10, 6,8,19,12,8,10,18,19,15 find the median age of the particapating ​

Answer:

E.f(x)=log(x-1)

Step-by-step explanation:

f(x)=log(2-1)

=log1 (log1=0)

=0

Answer:  (10) 3.2   (11) option 2   (12) option 4  

               (13) Distributive  (14) Associative

Step-by-step explanation:

10) "Absolute value" makes the number positive.

       - |-4| + |-7.2|

   =  -  4  +  7.2

   =       3.2

11) "Opposite" changes the sign.

    the opposite of   [tex]-\sqrt{\dfrac{2}{5}}[/tex]     is     [tex]+\sqrt{\dfrac{2}{5}}[/tex]

12) Reciprocal means "flip" the fraction

     the reciprocal of    [tex]-\sqrt{\dfrac{2}{5}}[/tex]     is    [tex]-\sqrt{\dfrac{5}{2}}[/tex]

13) a(b + c) = ab + ac    is the Distributive Property

     [tex]-\sqrt5(2+X)[/tex]

 =  [tex]-\sqrt5(2) -\sqrt5(X)[/tex]

 =  [tex]-2\sqrt5 -X\sqrt5[/tex]

14) a · (b · c) = (a · b) · c     is the Associative Property

    [tex]20(4\sqrt5)[/tex]

  = [tex](20\cdot 4)\sqrt5[/tex]

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

if i am not wrong i think it is 1 bc u can only cut a verticle line in the middle, then i dont see any other ways.

Answer:

$25.5

Step-by-step explanation:

Answer:

8 quarters and 8 dimes

Step-by-step explanation:

Answer:

9 quarters 7 dimes they equal $2.95

Answer:

3/4 quarts of yellow paint is needed

Step-by-step explanation:

From the question, we are told that:

In order to make purple he must mix red and blue paint together at a ratio of 2 quarts red to 1 quart of blue.

3 quart of Purple paint mix requires 2quarts of red paint and 1 quart of blue paint.

We are also told that:

When George wants to make brown paint he must mix purple and yellow paint together in a 1:1 ratio.

This means 1 Purple paint to 1 Yellow paint

4/4 quarts of Yellow paint = 1 yellow paint

3/4 quarts of Yellow paint = 3/4 quarts of purple paint

Answer:

50 students were in each bus.

Step-by-step explanation:

We first subtract the 4 students in cars from the total, then divide the remaining students, (450) into the 9 busses. 450 / 9 = 50. There are 50 in each bus.

Answer:

2

Step-by-step explanation:

The pattern is +3 each time so -1 + 3 = 2

-10, -7 ,-4 , -1 ,2

Answer:

36 identical bags with 2 antiseptic wipes, 1 adhesive bandage and 1 ointment in each bag.

Leftovers: 19 adhesive bandages.

Step-by-step explanation:

First of all, let us try to find out the maximum number of identical first aid bags that can be prepared from the given contents.

The maximum number of bags that can be prepared will be equal to the quantity of the content which is available in minimum amount.

And that is number of packets of ointments.

Therefore, greatest number of bags that can be prepared is 36.

Now, it can be seen that 72 antiseptic wipes are available.

72 is a multiple of 36.

Therefore, if we put 2 antiseptic wipes in each bag, no leftovers will be there for packet of ointments and antiseptic wipes.

Now, let us consider adhesive bandages.

Maximum of 1 adhesive bandages can be put in each bag because only 55 such bandages are available.

Therefore, the answer is:

36 identical bags with 2 antiseptic wipes, 1 adhesive bandage and 1 ointment in each bag.

Leftovers: 19 adhesive bandages.

Answer:

105 free throws made if Asia shoots 150

Step-by-step explanation:

Find the percentage form of 14 out of 20

14 / 20 = 0.7 (70%)

Then calculate 70% of 150:

0.7 multiplied by 150 = 105

(Can check by doing 105 / 150 = 0.7)

Asia will make 1058 free throws out of a total of 150 shoots.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given that,

Asia makes 14 out of 20 free throws

Percentage free throws = free throws/total  × 100

Percentage free throws = 14/20 × 100

Percentage of free throws = 70%

Now,

If Asia throws 150 then with the same proportion she will again make 70% of her throw free.

So,

70% of 150 = 150 × 70/100 = 105

Hence "Asia will make 1058 free throws out of a total of 150 shoots".

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The distance traveled after 4 hours is 260 miles.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 = 9  is an equation.

We have,

Distance ∝ Time

Distance = K x Time

Now,

390 = 6K

K = 390/6

K = 65

Now,

Distance = 65 x 4

Distance = 260 miles

Thus,

After 4 hours the distance traveled is 260 miles.

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Answer:

H

Step-by-step explanation:

I searched it up :)

Answer:

H. {52, 72, 86, 105}

Step-by-step explanation:

Given 4 ordered pairs

The question asks for domain

The domain is the x-value of each ordered pair, and usually it is listed from least to greatest (increasing order)

Take out all of the x-values of the ordered pair 52,72,86,105

Notice that above is already in increasing order, so no further action is needed.

The domain for the situation is {52, 72, 86, 105}

Answer:

-3x – 4y = -4

Step-by-step explanation:

Answer:

use photmath or sum

Step-by-step explanation:

Answer:

a. given

b. addition property of equality

c. multiplication property of equality

x = 3, y² = -5x -12, x² + y² =81. are all not functions. the others are functions.

Step-by-step explanation:

I just did it

A function assigns the values. The correct options are C and E.

A function assigns the value of each element of one set to the other specific element of another set.

An equation is said to be a function if for each different value of x(input) it should give a different output. Therefore, for different inputs of x, the value of the output y should be different and unique. Also, the values if the equation produces the same output for two values of x it also said to be a function.

A.)

x = 3, since for every value of x the value is 3, which is not possible. Hence, this is not a function.

B.)

x² + y² = 81

For the given equation if the value of x is given as 0, the value of y will be,

x² + y² = 81

0² + y² = 81

y² = 81

y = ±√81

y = -9, 9

Hence, this can not be a function.

C.) y = -x + 11

For the given equation if the value of x is kept anything the value of y will be different. Thus, this is a function.

D.)

y² = -5x - 12

For the given equation if the value of x is given as less than -2.4, there will be two values of y. Thus, the given equation is not a function.

E.)

y = 2x² - 6x + 4

The given function will return will the same value of y for 2 different values of x. Hence, this is a function.

F.)

y = -7

Since the given equation can only have the value of y as 7. Therefore, it is not a function.

Hence, the equations that are a function are y = -x + 11 and  y = 2x² - 6x + 4.

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Answer:

-7

Step-by-step explanation:

First, distribute. 30 = 14 - 12 - 4x

Then, simplify and get the regular numbers one the left side.

30 = 2 - 4x                             28 = -4x

Finally, divide both sides by -4 to get x by itself.

-7 = x

Answer:

45 ft. 11.18 in.

Step-by-step explanation:

Answer:

45.93176 feet

Step-by-step explanation:

1 meter = 3.28084 feet

3.28084(14) = 45.93176 feet

Answer: 55

110 ÷ 2 = 55         110 in half is 55 because 10 in half is 5 and  100 in half is 50 so 55 +5 = 55

110÷2=55

Step-by-step explanation:

Answer:

[tex]g(t)=8.25t+1250[/tex]

Step-by-step explanation:

You can input any value for t, and that would give you the amount of water pumped in. Then, the +1250 represents the initial 1250 gallons that are in the pool.

Answer:

$176.80

Step-by-step explanation:

$42.12 (what he had left) + 23.75 = 65.90

65.90 (Amount he had after he bought the painting) + 65.90 (The other half of his remaining money he spent on the painting) = 131.80

131.80 + 25 + 20 = 176.80

= $176.80

Problem 1

Answers:

Real = sqrt(49), 5/6, 12.5, 8/12, 225, sqrt(24)/16, sqrt(32)

Not real = sqrt(-20)  and  sqrt(-16)/9

---------------

Explanation:

Anything involving a square root of a negative number will result in a non-real answer. Anything else is real.

Traditionally y = sqrt(x) has a domain of nonnegative numbers. If x >= 0, then y is some real number. If x < 0, then we'll need to use the imaginary number i = sqrt(-1).

==========================================

Problem 2

Answers:  

Rational = sqrt(49), 5/8, 12.5, 8/12, and 225

Irrational = sqrt(24)/16, sqrt(32)

---------------

Explanation:

Ignore the non-real numbers. Focus solely on the real values.

A rational number is where we can write it as a ratio of two integers. An example is 5/8 since 5 and 8 are integers. The denominator can never be zero.

Decimal values that terminate can be written as a fraction. For instance, 12.5 = 125/10.

Square roots of perfect squares are also rational. For example sqrt(49) = 7 = 7/1

Something like sqrt(32) is not rational because we can't write it in the form p/q with p,q being integers. We say it is irrational.

==========================================

Problem 3

Answers:

Perfect Squares = 225

Non-perfect squares = everything else

---------------

Explanation:

A perfect square is of the form x^2, where x is a positive integer.

The only perfect square listed is 225 because 225 = 15^2. Here x = 15.

Note: a perfect square is an integer itself.

==========================================

Problem 4

As discussed earlier, rational numbers are fractions of integers. So we have something of the form p/q where p,q are integers and q is nonzero. An example of a rational number is p/q = 7/8 with p = 7 and q = 8.

Irrational numbers are ones that cannot be written as p/q. A famous example of an irrational number is pi = 3.14, but we could do something like sqrt(17) for instance as well. The stuff under the square root must be a non-perfect square.

Perfect squares are integers in the form x^2, with x being an integer also. A visual way to think of perfect squares is to think of a square with side length x, so its area is x^2. If x = 9, then its area is x^2 = 9^2 = 81, so 81 is a perfect square. We only consider whole number side lengths.

well combine like terms

-3x = -21

divide both sides by -3

x = 7

Answer:

x = 7

Step-by-step explanation:

-6x + 3x = -21

Combine like terms

-3x = -21

Divide by -3

-3x/-3 = -21/-3

x = 7

Answer:

I think should add up to 360° because supplementary angles add up to 180°and in this case we have 2 angles

Answer:

180 degrees

Step-by-step explanation:

If two angles are supplementary when their measures add up to be 180

I attached an example of supplementary angles as well you can check

Commutative property

commutative if changing the order of the operands does not change the result.

Answer:

x = -4

Step-by-step explanation:

x-5 = -9

Add 5 to each side

x-5+5 = -9+5

x = -4

Answer:

A. x = -4

Step-by-step explanation:

x - 5 = -9 (plus 5 on each side to get rid on 5 on the left side) so -9 + 5

x = -4