Triangle Angle Sum Theorem

Answer:

Step-by-step explanation:

Givens

Time 1 = 11.74

Time 2 = 11.26

Time 3 = 12.12           Add

Solution

11.74 + 11.26 + 12.12 =

Total Time = 35.12

35.12 miles is the total number of minutes that it took krissy to run these three miles.

What is a simple definition of time?

The measured or measurable period during which an action, process, or condition exists or continues : duration. b : a nonspatial continuum that is measured in terms of events which succeed one another from past through present to future.

Krissy ran three miles one morning she ran the first mile in time 1 = 11.74

Krissy ran three miles one morning she ran the first mile in time 2 = 11.26

Krissy ran three miles one morning she ran the first mile in time 3 = 12.12          

To get total time , we have to add all the time 1,2,3

Total time = Time1 + Time2 + Time3

                  = 11.74 + 11.26 + 12.12

Total Time =  35.12 miles

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Answer:

x=0, x=3, x=-2

Step-by-step explanation:

factor the equation

x(x^2-x-6)

factor more

x(x-3)(x+2)

set it equal to 0

x(x-3)(x+2)=0

plug in numbers for x that would result in the answer being 0

0(0-3)(0+2)=0

3(3-3)(3+2)=0

-2(-2-3)(-2+2)=0

Answer:

D

Step-by-step explanation:

The D answer choice is the correct functions needed to create the pictured graph, I have pictured these functions in a graphing calculator below

To estimate that table given in Option (4) will define the quadratic relationship.

Therefore, the table of Option (5) will describe the quadratic relationship.

By estimating the second difference, if the second difference in a table exists equivalent, the table will define the quadratic relationship.

In the given option, we estimate that table given in Option (4) will define the quadratic relationship.

x       y      I st difference       II nd difference

0      4           -                               -

1      -4      -4 - (4) = -8                    -  

2     -4      -4 - (-4) = 0                0 - (-8) = 8

3      4       4 - (-4) = 8                 8 - 0 = 8

The second difference between the terms in y exists exactly as 8.

Therefore, the table of Option (4) means the quadratic relationship.

Similarly, in Option (5) we will estimate the second distinction of y terms.

x        y             I st difference       II nd difference

0      -4                     -                          -

1       -8               -8 - (-4) = -4              -

2     -10             -10 - (-8) = -2      -2 - (-4) = 2  

3     -10             -10 - (-10) = 0       0 - (-2) = 2

Here the second difference exists identical to 2.

Therefore, the table of Option (5) will describe the quadratic relationship.

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By definitions of volume and flow rate, it will take a time of 10 minutes to fill the tank to a height of 50 centimeters.

Herein we find the case of a rectangular tank being filled with water at constant flow are, which is dimensionally speaking, volume by time. We know that dimensions of the tank are described in centimeters, whereas flow rate is described in liters per minute. Please notice that a liter is equal to 1000 cubic centimeters:

t = [(80 cm) · (60 cm) · (50 cm) · (1 L / 1000 cm³)] / (24 L / min)

t = 10 min

By definitions of volume and flow rate, it will take a time of 10 minutes to fill the tank to a height of 50 centimeters.

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Step-by-step explanation:

[tex]s = 2\pi(r)(r + h)[/tex]

[tex] \frac{s}{2\pi(r)} = r + h[/tex]

[tex] \frac{s}{2\pi(r) } - r = h[/tex]

Answer:

10724.29

Step-by-step explanation:

mean means average

so to find an average you add everything together then divide it by the amount of variables

m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7

m = 75070/7

m = 10724.2857143

m = 10724.29

The coefficient of determination is 1.

Given

Total Sum of squares (SST) = 90

Sum of squares due to error (SSE) = 0

We have to find coefficient of determination.

The correlation of determination is the ratio of the explained variation to the total variation.

The coefficient of determination is used to analyze how differences in one variable can be explained by a difference in a second variable.

The coefficient of determination is also called r-squared or r-square.

Its the percentage of variation in the y-variable(response) that can be explained by the least squares regression line of y on x.

Coefficient of determination can be found with the following formula:

Formula of coefficient of determination :

[tex]R^{2} = 1 - \frac{SSE}{SST}[/tex]

= 1 - [tex]\frac{0}{90}[/tex]

= 1 - 0

= 1

[tex]R^{2}[/tex] = 1

Therefore,

The coefficient of determination is 1.

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Answer:

1/9^2

Step-by-step explanation:

simplify

9^(7-9)

simplify further

9^-2

simplify even more

1/9^2

Answer:

9^16

Step-by-step explanation:

just took the test

The quadrilaterals that describe DEFG include parallelogram, rhombus, and square

It should be noted that a quadrilateral simply means a close shape and a polygon that has four sides.

In this case, the quadrilaterals that describe DEFG include parallelogram, rhombus, and square. In a parallelogram, it should be noted that the sides are parallel to each other.

Therefore, the quadrilaterals that describe DEFG include parallelogram, rhombus, and square.

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Answer:

Answer is a

Step-by-step explanation:

it is the only answer that makes sense

This real-world problem has the limitations 75< x <110 and 0< y[tex]\leq[/tex] 50, hence:

option (C) is the best choice.

The term "inequality" refers to a mathematical expression in which both sides have mathematical signs that are either less than or greater than one another, and the expression is one where the two sides are not on equal footing.

We have:

Your senior vacation is scheduled to include a class trip to a beach. Only when it's between 75 and 110 degrees do guests at the resort get access to the pool. 50 passengers can go with you.

Let y be the number of passengers and x be the temperature

75 to 110 degrees are the range of the temperature.

75 < x < 110

50 passengers can go with you.

0 < y ≤ 50

In order to illustrate this real-world issue, the limitations are 75 <x <110 and 0< y [tex]\leq[/tex]50.

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Answer:

20 teams can be made

Answer:

A.  10 teams

Step-by-step explanation:

a 2-person team is a combination of two elements out of 5.

Then

The number of possible teams is :

[tex]C^{2}_5 = \frac{5!}{2! \times (5-2)!} = \frac{5!}{2! \times 3!}=10[/tex]

The number of ways there are to move from (0, 0) to (7, 7) in the coordinate plane with movements of only one unit right or one unit up accordingly is; 49 while that such that y =x is; 7.

It follows from the task content that the movement intended on the coordinate plane is; from (0, 0) to (7, 7).

The number of ways to move such that movements of only one unit right or one unit up is; 7 × 7 = 49.

The number of ways for which y= x is therefore is; 7 as the movement is diagonal.

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Answer:

a. 3x^3 + 2x^2 - 3x +10

Step-by-step explanation:

(x+2)(3x^2-4x+5)

x(3x^2-4x+5) +2(3x^2-4x+5)

3x^3-4x^2+5x+6x^2-8x+10

3x^3-4^2+6x^2+5x-8x+10

3x^3+2x^2-3x+10

Considering the situation described, the classification of the elections is given as follows, according to their order of finish:

David, Greg, Victor, Mac, Bill.

We take the situation that is described, and build the classification from it. The classification has the following format:

P1 - P2 - P3 - P4 - P5

With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.

From the text given in this problem, we have that:

Hence the classification of the election is given by:

David, Greg, Victor, Mac, Bill.

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The solution to the inequalities 3x + 5 < 6x + 8 and 4x + 3 < 7x + 5 is x > -1 and x > -2/3 respectively

Inequality signs are;

3x + 5 < 6x + 8

3x - 6x < 8 - 5

-3x < 3

x > 3/-3

The inequality sign is flipped from < to greater than because of the division with negative value.

x > -1

2. 4x + 3 < 7x + 5

4x - 7x < 5 - 3

-3x < 2

The inequality sign is flipped from < to greater than because of the division with negative value.

x > -2/3

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The number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores using combinations is computed to be 350.

The combination is a process of calculating the number of ways of selecting a smaller set, from a larger set, when the order of selection is irrelevant.

In selecting x number of items, from n number of items, when the order of selection is irrelevant, we use the combination, to calculate the number of possible ways as follows:

nCx = n!/{(x!)((n - x)!)}.

In the question, we are asked for the number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores.

The number of ways of selecting 3 freshmen from 5, using a combination is:

5C3 = 5!/{(3!)((5 - 3)!} = 120/{6*2} = 120/12 = 10.

The number of ways of selecting 3 sophomores from 7, using a combination is:

7C3 = 7!/{(3!)((7 - 3)!} = 5040/{6*24} = 5040/144 = 35.

The total number of teams possible is the product of each.

Thus, the total number of teams  possible is 5C3 * 7C3 = 10*35 = 350.

Thus, the number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores using combinations is computed to be 350.

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Answer: 0.25 or 25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + 1 < 7...subtract 1 from both sides

3x < 7 - 1

3x < 6 ...divide both sides by 3

x < 6/3

x < 2

which means the second answer choice is correct!

Answer: Second Graph

Step-by-step explanation:

Given inequality

3x + 1 < 7

Subtract 1 on both sides

3x + 1 - 1 < 7 - 1

3x < 6

Divide 3 on both sides

3x / 3 < 6 / 3

x < 2

Apply the inequality to the graph

Since it is less than, the circle should be hollow

Since it is less than 2, the line should point to the left

Therefore, it should be the Second Graph

The interval notation to express the set of real numbers x that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

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Answer:

(a + b)(a + b - 2)

Step-by-step explanation:

(a + b)² - 2(a + b) ← factor out (a + b) from each term

= (a + b)(a + b - 2)

Answer:

The pair of shoes equal 18.

The boat equals 3

The chair equals 4

Step-by-step explanation:

Let x = shoes

You found the palm trees!

So the top picture would be

18 + x = 2x  Subtract x from both sides

18 = x  We found the value of the shoes.

Let's go so the last picture.  We now know the shoes.

Let x = the boat now

18 = 6x  Divide both sides by 6

x = 3  We found the value of the boat.

Finally, let's look at the second picture.

Let x = the chair now

3 + x = 7  Subtract 3 from both sides

x = 4  We found the value of the chair.

Answer:

< B.

Step-by-step explanation:

B  corresponds to F.

Answer:

  x = 3√3

  y = 6

Step-by-step explanation:

The geometric mean relations between segments intersecting the long hypotenuse and its parts can be used to find the values of interest.

  x = √(9·3) = 3√3

  y = √((9+3)·3) = 6

__

Additional comment

These right triangles are all similar, so corresponding sides are proportional. When the proportions are solved for a missing side, a geometric mean relation results. (The geometric mean of 'a' and 'b' is √(ab).)

Identify the segments above the horizontal line as w, x, y. (x and y are already identified in this figure.)

The ratio of short side to long side is ...

  x/9 = 3/x   ⇒   x² = 9·3   ⇒   x = √(9·3)

The ratio of short side to hypotenuse is ...

  y/(9+3) = 3/y    ⇒   y² = (9+3)·3   ⇒   y = √((9+3)·3)

Likewise, the ratio of long side to hypotenuse is ...

  w/(9+3) = 9/w   ⇒   w² = (9+3)·9   w = √((9+3)·9) = 6√3

given,

wagon weight with sand = 100 pounds

wangon weight = 80 ounces ÷ 16 = 5 pounds

sand weight = 100 - 5 = 95 pounds//

Answer:

1. No

2. No

3. Yes

4. No

5. Yes

6. No

Step-by-step explanation:

If you want to check if a graph is a function, do a vertical line test. For every vertical line, there should be only 1 point on the line if the graph is a function.

Step-by-step explanation:

g(f(a))=4(a²+2a) + 5

= 4a²+8a+5

Answer:

B) (2,5)

Step-by-step explanation:

Answer: -250000

Step-by-step explanation:

Sum of arithmetic terms = n/2[2a + (n - 1)d],

where 'a' is the first term,

'd' is the common difference between two numbers,

and 'n' is the number of terms.

'a' = -1

'd' = -2

'n' = 500

plug and chug

(500)/2[2(-1) + ((500)-1)*(-2)] =

250[-2 + -998] =

250[-1000] =

-250000