ilhan begin her training at 7:22 am. she crossed the finish line at 8:07 pm, after swimming 2.4 miles, cycling 112 miles and running 26.2 miles. find her average speed of the race

The distance between the coordinates is 2+√19.

According to the question, the given problem can be solved by using the standard distance formula.

Now, the coordinate values are:

p(a, 2a); q(4, 3) and Distance = 10 units

Therefore, from the given parameters we can write:

x1 = a; y1 = 2a; x2 = 4; y2 = 3

Now,

Distance^2 = (x1 - x2)^2 + (y1 - y2)^2

Substituting the given values, we get:

Distance^2 = (4 - a)^2 + (3 - 2a)^2 = 16 +a^2 - 8a + 9 +4a^2 - 12a

100 = 25 + 5a^2 - 20a

5a^2 - 20a - 75 = 0

a^2 - 4a - 15 = 0

a = 2+√19

Hence, the distance between the coordinates is 2+√19.

What is distance?

Distance can be defined as the resultant displacement between the two endpoints. It can measured in different units like meters, centimeters, kilometers, etc. And the respective values can be calculated by using the standard formula.

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Answer:

See explanation

Step-by-step explanation:

f(x)=x² + x + 2 and g(x) = 2x² - 7

f(2) g(2)=

((2)² + (2) + 2)(2(2)² - 7)=

(4 + 2+ 2)(2(4) - 7)=

(8)(8 - 7)=

8*1=8

2 fg(2)=

2 f(g(2))=

2 f(2(2)² - 7)=

2 f(2(4)-7)=

2 f(8-7)=

2 f(1)=

2(1² + 1 + 2)=

2(1+3)=

2(4)=8

8=8

2 fg(2)=f(2) g(2) √

Answer:

$2 per person

Step-by-step explanation:

6*8=48

96/48=$2

Answer:

Step-by-step explanation:

6 x 8 = 48

96 / 48 = 2

Answer:

72838383(8$($)*!*!)*?#!_;+ndbdjdjsk

The function is increasing is f(x) = [tex]5^x[/tex]

For exponential functions: f(x) = [tex]a^{x}[/tex] (a>0 and a[tex]\neq 0[/tex] ), when A is greater than the function is increased.

0.5 <1, [tex]\frac{1}{15}[/tex]<1 , [tex]\frac{1}{5}[/tex]<1 , 5>1

so C is correct.

The exponential  is a mathematical function denoted by the argument x is written as an exponent. Unless otherwise specified, the term generally refers to the positive-valued function of  a true  variable, although it  are often  extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. The  exponential  originated from the notion of exponentiation (repeated multiplication), but modern definitions (there are several equivalent characterizations) allow it to be rigorously extended  to all or any  real arguments, including irrational numbers. Its ubiquitous occurrence in pure and  applied math  led mathematician Walter  to opine that the exponential function is "the most important function in mathematics".

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Answer:

800 times 10 is =800×10

800×10×10

800×100

=80,000

I think this is the answer so try it sorry for the last results

If a/b = c/d then a and d are the extremes.

Ratio is defined as the comparison of two quantities. The ratio between quantities a and b can be expressed as a : b or a/b.

example:

There are 3 girls for every 5 boys in a class. Then, the ratio of girls to boys is 3 : 5 or 3/5.

On the other hand, proportion is defined as the equality between two or more ratios.

a : b = c : d

Two ratios are equivalent if their cross-products are equal. Cross products are the products of the extremes and means. The 1st and and 4th terms of a proportion is called the extremes, while the 2nd and 3rd is the means of a proportion.

If a : b = c : d, then ad = bc.

where a and d are the extremes

b and c are the means

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Answer:

(-6.0))

Step-by-step explanation:

If you start in the middle at (0,0) and go left 6 spaces and the do not go up or down.  You will be at (-6,0).  This is the only point that is in the shaded in both blue and green.

The assumptions need to be made in the dart simulation is that the object lands within the target area, and that it is equally likely that the object will land anywhere in the region. These are needed because in the real world it will not be equally likely to land anywhere in the region.

Dart game:

Basically, the dart game board consists of sisal fibers or boar bristles and cork. An 18 inch diameter board is divided into 20 sections.

Thin metal structures are used to design the dividing lines and with the same materials the numbers are designed.

Sometimes the manufactures opt for printing number formats. The board should be positioned on the wall in such a manner that the bull’s eye should be 5ft 8 inch above the floor.

Given,

Here we need to find When designing a simulation where darts are thrown at targets, what assumptions need to be made and why are they needed.

While looking at the definition of the dart game board,

We know that, we have to do the following,

We assume that the object lands within the target area, and that it is  equally likely that the object will land anywhere in the region. These are needed because in the real world it will not be equally likely to land  anywhere in the region.

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The given statement is completely true.

This is because the definition of slant height is the altitude of the lateral face of a pyramid or cone which is true.

There are three dimensions of a cone.

The vertical height (or altitude) is the perpendicular distance from the top down to the base.

The radius of the circular base slant height is the distance from the top, down the side, to a point on the base circumference.

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Given statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.' is False.

In given question,

We have been given a statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.'

We know that a hypotenuse is the largest side of a right triangle.

According to Pythagoras theorem,

in a right triangle c² = a² + b²

where c is the hypotenuse of a right triangle

a, b are perpendicular sides of the right triangle

This means, to find the length of the hypotenuse of a right triangle, take the square root of the sum of the squares of the legs.

Therefore, given statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.' is False.

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133.3333333333% (increase) is percent of increase 70%.

What is the percentage formula?

Use the formula percent change

Percent change = [tex]\frac{New - old}{old} * 100[/tex]

                           = 70- 30/30 * 100

                           = 40/30 * 100

                           = 133.3333333333% (increase)

Where: 30 is the old value and 70 is the new value.

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Answer:

$10800

Step-by-step explanation:

$11,448 = 100% + 6%

          = 100%

$11,448 = 106%

          = 100%

Cross-multiply it :

$11,448 × 100% = × 106%

$11,448 × 100/100 = 106/100

$11,448 × 100/106 =

= $10800

Hope this helps. Pls mark me as the brainliest as it would help me too.

The maximum number of carpet tiles that need to be bought to cover the floor of the rectangular room is  221.

Upper bounds = 8.5m and 6.5m

Maximum = 8.5[tex]\times[/tex]6.5 = 55.25[tex]m^2[/tex]

55.25[tex]m^2[/tex] = 552500c[tex]m^2[/tex]

50[tex]\times[/tex]50 = 2500c[tex]m^2[/tex]

552500/2500 = 221

The maximum amount of carpet tiles = 221

A rectangle is a quadrilateral with equal angles and opposing sides that are equal and parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. We will study about the rectangle form and its features in this chapter. A rectangle is a four-sided closed two-dimensional shape. A rectangle's opposite sides are equal and parallel to one other, and all of its angles are equal to 90°. Examine the rectangle below to determine its form, sides, and angles.

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One year percent change is 14 percent.

A portion of a whole expressed in hundredths the number of students present was high. B: The outcome of dividing a number by a percentage is that the percentage equals the rate divided by the base. A portion of victories or profits (2a).

Given that,

Berkshire Hathaway closed at 185,690 per share on February 26.

One share's closing price from one year ago was 215,970.

So,the percentage of one year is 215970 × 185690/185690 × 100

So, the percent of one year is 14 percent.        

Therefore, One year percent change is 14 percent.

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Using the values of the first term and the sum of the first 40 terms of the given series, a(40) = 300

Suppose we are given a series:

  a(1) + a(2) + a(3) + ....+ a(n)

Then, the sum of the first n terms is given by:

S(n) = n/2 [a(1) + a(n)]

Parameters given in the problem:

a(1) = 4

S(40) = 6080

To find a(40), substitute n = 40, a(1) = 4, and S(40) = 6080 into the formula:

S(n) = n/2 [a(1) + a(n)]

S(40) = 40/2 [4 + a(40)]

6080 = 20 . [4 + a(40)]

Divide both sides by 20

304 = 4 + a(40)

Subtract 4 from both sides:

304 - 4 = 4 + a(40) - 4

a(40) = 300

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Hello,

A - B = 7x² - 3x + 10 - (-4x² + 6x - 4)

A - B = 7x² -3x + 10 + 4x² -6x + 4

A - B = 11x² - 9x + 14

The total time needed for Elizabeth on the practice is 130 minutes.

It should be noted that Elizabeth spent 91 minutes, which was 70 percent of her study time for her language exam,

Let the total time be represented by x.

Therefore, 70% × x = 91

0.7 × x = 91

0.7x = 91

Divide

x = 91/0.7

x = 130

The total time needed is 130 minutes.

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The tape diagram shows that Elizabeth spent 91 minutes, which was 70 percent of her study time for her language exam, on conversation practice. What was the total time needed?

1 unit left,2 units down and 90° clockwise rotation is the transformation of figure Q to make figure R.

Transformation is rearranging a graph by a given rule it could be either increment,decrement, reflection, or rotation.

Reflection is a mirror image of a graph about any axis.

It seems that figure R is the rotation of Q clockwise by 90°.

In figure Q,

The Coordinate of the bottom left point of it is (3,1) if we rotate by 90° then it will remain at (3,1).

The coordinate of the same point in figure R is (2,-1)

So,

3 + x = 2 → x = -1 (1 unit left)

1 + y = -1 → y = -2 (2 units down)

Hence "1 unit left,2 units down and 90° clockwise rotation is the transformation of figure Q to make figure R".

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The two towns will be 15 centimeters apart on the map.

Here, we are given that a map has a scale factor of 1:24 000.

This means that if the distance between two points on the map is say 1 meter then in reality, these two points will be 24,000 meters apart.

Now, we are given that two towns are 3.6 kilometers apart

That is in reality, they are 3.6 km away

Let them be x kilometers away on the map

The ratio of the distances on map and in real life must be equal to 1/24,000

⇒ x/3.6 = 1/24,000

x = 3.6/24,000

x = 0.00015 kilometers

or x = 15 centimeters

Thus, the two towns will be 15 centimeters apart on the map.

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It takes the object about 26/49 minutes to travel 5 1/5 miles.

A mixed fraction is a non-integer that consists of a whole number and a proper fraction. An example of a mixed fraction is 1 1/2.

Speed measures how fast an object is moving with respect to time. Speed is the total distance travelled per time.

Speed = total distance / total time

In order to determine the total time it would take the object to travel the distance, divide the distance travelled by the speed.

Time = distance / speed

5 1/5 ÷ 9 4/5

26/5 ÷ 49 / 5

26/5 x 5/49 = 26 / 49 minutes

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Answer:

8

Step-by-step explanation:

200 ×4=800

OR

200+200+200+200=800

Answer:

c) 0.67

c) 0.67 d) 2.4

c) 0.67 d) 2.4 e) 0.046

c) 0.67 d) 2.4 e) 0.046f) 0.26

c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537

c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863

c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863i) 0.043

c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863i) 0.043j) 0.2535

c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863i) 0.043j) 0.2535k) 0.074

c) 0.67 d) 2.4 e) 0.046f) 0.26 g) 0.537h) 3.863i) 0.043j) 0.2535k) 0.074 l) 0.4305

Step-by-step explanation:

Method 1: Without a calculator

To divide just move the decimal point to the right to how many zeros there are (for example 10 is one zero so you move the decimal point to the right one time).

Method 2: With a calculator

Type the equation press enter or "=" and you get your answer.

17 weeks

Step-by-step explanation:

you multiply the number of hours by the number of weeks, giving you 40, then divide the amount of total hours worked by 40, giving you 17

5 x 8 = 40

680/40 = 17

17 weeks.

The raisins that Anaya needs more will be 5/6 cups.

It should be noted that from the information, recipe for 4 cups of trail mix calls for 2/3 cups of raisins. Anaya has 1 1/2 cups of raisins.

The amount that's needed for 14 cups will be:

= 14/4 × 2/3

= 2 1/3

It's not enough

The amount needed will be:

= 2 1/3 - 1 1/2

= 2 2/6 - 1 3/6

= 5/6

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Here mWXZ=108*and m1 is two times m2 so, The value of m2 is [tex]36[/tex]°.

The fundamental geometric shapes are lines and angles. Infinite points that stretch infinity in both directions make up lines, which are geometric objects. Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints. The most useful area of mathematics is the study of geometric shapes and their characteristics. As we've already mentioned, the foundation of any geometric shape is made up of lines and angles. Without employing lines and angles, it is impossible to draw a two-dimensional to three-dimensional shape. Consequently, it is imperative to discover the meanings of the two terminologies. Here, the fundamental definitions and characteristics of lines as well as angles are provided. A line is a simple, one-dimensional shape that can go on forever in opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right. When the ends of two rays collide at a single location, an angle is a geometry that results. They are expressed as radians or degrees (°). A 360-degree angle is the same as a whole rotation.

Let the angle m2 be x

so, according to the question m1= 2m2=2x

so, m1+m2=[tex]108[/tex]°

  ⇒2x+x=[tex]108[/tex]°

  ⇒3x=[tex]108[/tex]°

  ⇒x=[tex]36[/tex]°

means angle m2=[tex]36[/tex]°

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