A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen peroxide solution. How many liters of the 10% solution did the chemist use to make the 15% solution?

Answer:

The center of given circle is X.

Step-by-step explanation:

Given : Circle .

To find: Which point is the center of the circle?

Solution : The diameter of a circle subtends a right angle to any point on the circle is called center of circle .

Therefore, The center of given circle is X.

Answer:

Hence, point X is the center of the circle.

Step-by-step explanation:

We are given a circle.

We have to find the center of a circle.

Circle: It is the set of points in a plane which are equidistant from a particular point called the center of the circle.

As we can see all the points of a circle are equidistant from point X

Hence, point X is the center of the circle.

Hence, correct option is:

B. point X

We are given a parent function f(x) as:

       [tex]f(x)=\dfrac{1}{x}[/tex]

and the transformed function g(x) is given by:

       [tex]g(x)=\dfrac{1}{x+4}-6[/tex]

We know that the transformation of the type:

     f(x) → f(x+a)

is either a shift a units to the left or to the right depending whether a is positive or negative respectively.

Also, the transformation of the type:

   f(x) → f(x)+a

is the shift of the function f(x) either upward or downward depending on whether x is positive or negative respectively.

Here the function g(x) is:

     [tex]g(x)=f(x+4)-6[/tex]

This means that the function g(x) is a shift of the function f(x) 4 units to the left and then it is translated 6 units downward.

Also we may see by the graph.

He needs to sell $400,000 worth of goods.

Base salary = $30000

Percent Commission = 5%

Let the amount of goods that need to be sold be represented by x

Therefore, the equation will be:

30000 + (5% × x) = 50000

30000 + (0.05 × x) = 50000

30000 + 0.05x = 50000

Collect like terms

0.05x = 50000 - 30000

0.05x = 20000

x = 20000/0.05

x = 400000

Therefore, he needs to sell $400,000 worth of goods.

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Answer: [tex]-2\dfrac{1}{10}[/tex]

Step-by-step explanation:

The given expression to simplify : [tex]5\dfrac{1}{4}\div-2\dfrac{1}{2}[/tex]   (i)

First we convert mixed fraction into improper fraction as :

[tex]5\dfrac{1}{4}=\dfrac{5\times4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]

[tex]-2\dfrac{1}{2}=-\dfrac{2\times2+1}{2}=-\dfrac{4+1}{2}=\dfrac{-5}{2}[/tex]

Now , put them in (i) , we get

[tex]\dfrac{21}{4}\div\dfrac{-5}{2}[/tex]

[tex]=\dfrac{21}{4}\times\dfrac{-2}{5}=\dfrac{-21}{10}=-\dfrac{20+1}{10}=-2\dfrac{1}{10}[/tex]

Hence, the required answer is [tex]-2\dfrac{1}{10}[/tex].

Answer:

Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.

Step-by-step explanation:

Lexi has planted seeds in [tex]\frac{3}{5}[/tex] of the garden. We know that to plant that part she used [tex]\frac{1}{2}[/tex] pound of seeds.

The entire garden is [tex]\frac{5}{5}=1[/tex].

Then if you multiply [tex]\frac{1}{2}[/tex] in [tex]\frac{5}{5}=1[/tex] and then divide the result in [tex]\frac{3}{5}[/tex] you will obtain how many pounds will she use for the entire garden. (It's a rule of three)

[tex](1).\frac{1}{2} :\frac{3}{5}=\frac{1}{2} :\frac{3}{5}=\frac{5}{2.3}=\frac{5}{6}[/tex]

Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.

First statement is true.

One fourth of the values are less than or equal to 2.5, and three fourths of the values are above 2.5.

Therefore, The first quartile of a data set is 2.5. this statement represent that One fourth of the values are less than or equal to 2.5, and three fourths of the values are above 2.5.

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Answer:

441 cm

Step-by-step explanation:

area is 8*10 = 80 ( Area of square formed by dotted line)

 1/2 *4 * 10 = 20 (Area of small triangle formed by dotted line)

20 +80 = 100 square inches

Answer:  B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

Step-by-step explanation:

We know that a parallelogram is a quadrilateral having congruent opposite  sides and its diagonals bisect each other.

A square is a kind of parallelogram having all its consecutive sides equal and both diagonals congruent to each other.

Its all 4 angles are right angle.

let's check all the statements :

A. A parallelogram with a pair of congruent consecutive sides and diagonals that bisect each other.

→It can be rhombus ∵ it also has same characteristics.

B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

→ It only occurs in square.

C. A parallelogram with a right angle and diagonals that are congruent .

→ it can be a rectangle ∵ it has all its angles right angle and diagonals are congruent.

D. A parallelogram with diagonals that bisect each other.

→ It is the basic property of parallelogram , it can describe a rhombus or rectangle both.

The statement that must be true is (b) A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

A parallelogram has parallel and congruent opposite sides

However, the following must be true about parallelograms that can be regarded as squares:

Hence, the true statement is (b)

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3^4 = 3*3*3*3 = 81

3^2 = 3*3 =9

81/9 = 9

 Answer is B. 9

from the problem m = 1/2

point slope =

y -2 = 1/2(x+8)

Answer:true

Step-by-step explanation:

The no. of people own computer in 2015 are 92.0953 million.

The interest charged on a loan or deposit is known as compound interest. In our day-to-day lives, it is the concept we use the most. The amount's compound interest is based on both the principal and the interest earned over time. This is the primary distinction between simple and compound interest.

Given annually increase rate of computers = R =  23.2%

people own computer in 1990 = 1/2 million = 0.5 million

let no. of people own computer in 2015 be x

compound interest for annually increase in rate is p[tex](1 + R/100)^{t}[/tex]

where t = time and R = rate

Time = 2015 - 1990 = 25 years

x = 0.5(1 + 23.2/100)²⁵

x = 0.5(1.232)²⁵

x = 0.5 × 184.1906

x = 92.0953 million

Hence 92.0953 million people own computer in 2015.

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