What is the median of the following numbers?
3.31,37,56, 61,57,62

Answer:

She would have 3 quarters, 3 dimes, and 1 nickel.

Answer:

c is the correct answer but i am not sure

Answer:

I don't have a clue

Step-by-step explanation:

Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.

Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.

If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.

Therefore, the parabola x = √(y - 9) opens upwards.

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

1. The required amount y after t years is as shown below:

When t=1,  y=74550

When t= 5, y = 88750

When t= 10, y = 106500

When t= 15, y = 124250

When t= 20, y = 142000

2. The required amount y after t years is as shown below:

When t=1, y = 73840

When t= 5, y = 86382.35607  

When t= 10, y = 105097.3442

When t= 15, y = 127866.988

When t= 20, y = 155569.743

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

1. x = 71000

  r =  3550

Use the below formula to find amount y after t years

y = x+( rt )

When t=1,   y= 71000 + ( 3550 * 1) = 74550

Similarly,  

When t= 5, y = 88750

When t= 10, y = 106500

When t= 15, y = 124250

When t= 20, y = 142000

2.  4% = 0.04

Use the below formula to find amount y after t years

y = x *( 1 + r )^ t

=> y = 71000*( 1.04)^t

When t=1,   y= 71000 * ( 1.04)^1 = 73840

Similarly,  

When t= 5, y = 86382.35607  

When t= 10, y = 105097.3442

When t= 15, y = 127866.988

When t= 20, y = 155569.743

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Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Answer:

Step-by-step explanation:

148 people

Answer:

25x^2 - 60xy + 36y^2

Step-by-step explanation:

(5x - 6y) ( 5x - 6y)

Use foil to get the result when this is expanded.

F: (first term in each factor): 5x*5x = 25x^2

I:  Use the last term first factor multiplied by first term second factor

- 6y * 5x = - 30xy

O:Outside. Use first term first factor and last term second factor

5x * -6y = - 30xy

L: last term in both factors -6y * - 6y = 36y^2

All them together

25x^2 - 30xy - 30xy + 36y^2

and combine

25x^2 - 60xy + 36y^2

Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

The area of the given triangle is expressed as: 25.6 in²

We are only given two sides of the triangle and an angle and so we must find the length of the third side to be able to find the area. The length of the third side is gotten from cosine rule to get:

a = √(14.1² + 7.2² - 2(14.1 * 7.2)*cos 30.3)

a = 8.68 in

In order for us to calculate the area of triangle which has 3 sides, we will have to utilize the Heron's Formula.

From the formula, the area of a triangle (A) that has 3 sides a, b, and c is calculated via the formula:

A = √[s(s - a)(s - b)(s - c)]

where:

s denotes the semi-perimeter of the specific triangle given by the formula: s = (a + b + c)/2.

s = (8.68 + 14.1 + 7.2)/2

s = 14.99 in

Thus:

Area = √[14.99(14.99 - 8.68)(14.99 - 14.1)(14.99 - 7.2)]

Area = 25.6 in²

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Answer:

Midpoint: (-1,-5)

Step-by-step explanation:

Answer:  c) rotation of 180° & shift right 1 unit and down 2 units

Step-by-step explanation:

Rotation of 180° changes the signs of x and y

(x, y)   →   (-x, -y)

Shift right one unit adds 1 to x, Shift two down subtracts 2 from y

(-x, -y)   →   (-x + 1, -y - 2)

  (x, y)          (-x + 1, -y - 2)  

(-1, -2)    →       (2, 0)

(-4, -1)    →       (5, -1)

(-4, -3)   →       (5, 1)

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer:

Correct answer is: Alternate Exterior Angles Theorem

Step-by-step explanation:

See attached picture.

The angles ∠1≅∠11 are equal by alternate exterior angles theorem and corresponding angles postulate. The correct options are A and D.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the alternate outside angle theorem, alternate exterior angles are regarded as congruent angles or angles of equal measure when two parallel lines are intersected by a transversal.

In the given image there are two parallel lines and one line is intersecting the two parallel lines at some angle.

Angle 1 and angle 11 will be equal to each other because of the two properties of angles that are alternate exterior angles theorem and corresponding angles postulate.

Therefore, the angles ∠1≅∠11 are equal by alternate exterior angles theorem and corresponding angles postulate. The correct options are A and D.

The image of the complete question is attached with the answer below.

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If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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Answer:

slope is -1

Step-by-step explanation:

We are asked to determine the probability of rolling a 6 and then rolling a number less than 2. To do that we will use the product rule probabilities since we want to find the probability of two independent events happening:

Where:

To determine the probability of rolling a 6 we need to have into account that there are 6 possible outcomes out of which only one is a 6. Therefore, the probability is:

To determine the probability of B we need to have into account that in a 6-sided die the numbers that are less than 2 are (1), this means that there is only one number less than 2 out of 6 possible numbers. Therefore, the probability is:

Now, we substitute in the product rule:

Solving the product:

Therefore, the probability is 1/36.

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Answer:

should be complementary angles

Answer: Triangle 3 is not a right triangle

Step-by-step explanation:

The sides should be able to put into the Pythagorean Theorem if it is a right triangle

Triangle 1: 6, 8, 10... 36+64=100-- true statement

Triangle 2: 6, 10, 12 ...  36+100 - 144-- incorrect statement

Triangle 3: 9, 12, 15... 81+144= 225-- true Statement

Triangle 4: 12, 16, 20... 144+256=400-- true statement

Answer:

OK so... I know the answer to x(4)+4x(3)+5x(2)-4x-4 =     -4

The part i don't understand is the f(x)=k=1 part.

Step-by-step explanation:

So overall the only answer I know is -4 Sry i couldn't help more.

Brainliest?

Using the LIFO method, the cost of ending inventory is $12.00

The additional things Belle Co. bought total 27 in number. In other words, the sum of 7 + 8 + 12 equals 27, which. According to the "Last In First Out" (LIFO) principle, the items that were bought last should be used up first.

The corporation managed to sell 31 units. Only 8 sets of paint for $1.50 remain after subtracting 4 from the initial inventory and the 27 already recently bought ones.

The cost of the ending inventory is,

8($1.5) = $12

The answer is $12.00.

"Last-In, First-Out" is an abbreviation for LIFO. It is a technique used in the computation of cost of goods sold to support cost flow assumptions. The LIFO approach is predicated on the idea that the most recent items contributed to a company's inventory have already been sold. These current products' purchase prices are the ones that were utilized in the assessment.

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From properties of parallel lines the value of the indicated angle is 84° and the value of x is 4°.

Parallel lines are two lines that are equidistant from one another.

For the question 7 the two lines are parallel and the indicated angle is an alternate interior angle to the given angle. Hence the indicated angle is also 84°.

For question 8, the two angles are alternate exterior angles.

Hence they are equal. Therefore we can write a linear equation in x to solve for x.

21x+6=90

or, 21x=84

or, x=4°

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Answer:

Express the given function h as a composition of two functions f and g so that h (x )equals (f circle g )(x )commah(x)=(f g)(x), where one of the functions is 4 x minus 3.4x−3. h (x )equals (4 x minus 3 )Superscript 8h(x)=(4x−3)8 f (x )f(x)equals=4 x minus 3. See answer. zalinskyerin2976 is waiting for your help.

Step-by-step explanation:

this what f  ;|

Answer:

x1=-1 ,x2=1

Step-by-step explanation: