Which of the following rational functions is graphed below?

Answer:

The half life of Pa-234 is approximately 0.0701656609 days

Step-by-step explanation:

The formula for half life is calculated as:

t½ = t.In(2)/In(No/Nt)

Where:

t½ = Half life of the substance in days

t = Time elapsed in days

No = Beginning amount

Nt = End Amount

In the question,

t = Time elapsed = 10 days

No = Beginning amount = 5.14 × 10²²

Nt = End Amount = 6.43 × 10²¹

t½ = t.In(2)/In(No/Nt)

t½ = 10.In(2)/In(5.14 × 10²²/6.43 × 10²¹)

t½ = 6.9314718056/98.78723754

t½ = 0.0701656609 days

The half life of Pa-234 is approximately 0.0701656609 days

Answer:

[tex]Probability = \frac{6}{29}[/tex]

Step-by-step explanation:

Given

------------------------------Has a brother | Does not have a brother

Has a sister --------------------------- 6 ----------------- 8

Does not have a sister  -----------2 ------------------ 13

Required

Probability of having a sister and a brother

First, the total number of students has to be calculated;

Total = 6 + 2+ 8 + 13

Total = 29

Number of students that have a sister and a brother is represented with data in row 1 and column 1 i.e. 6

At this point, the probability can then be calculated;

Probability = Number of students that have a sister and a brother divided by Total number of students

[tex]Probability = \frac{6}{29}[/tex]

Answer:

90m

Step-by-step explanation:

Answer:

A. and C. are true i think :/

Step-by-step explanation:

im not 100% sure though but again, good lucks!

Answer: 3

Step-by-step explanation:

Pretend A is just three, B is just 4, and C is just 5.

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

9-4(4)+2(5)

9-16+2(5)

9-16+10

-7+10

3

Answer: +3

Explanation: Start by plugging in the appropriate values for a, b, and c.

You might also want to change the -4b

to plus a negative 4b to avoid confusion.

Also, use parenthses when substituting numbers in for variables.

So we have 3(3) + -4(4) + 2(5).

Once you have plugged in your numbers, first multiply,

and then add from left to right.

So we have (9) + (-16) + (10).

Now add to get (-7) + (10) which is +3.

Answer:

The correct option is A

A) 25 degrees

Step-by-step explanation:

As two parallel line l and m are cut by the line t, the angles formed (x-10)° and < 3 are alternate angles, therefore they are equal to each other.

< 3 = (x-10)° ⇒ Equation (i)

We know that any straight line has a sum of angles equal to 180°.

Consider line t, it is divided into 3 angles due to cutting. Those angles are 85°, (2x)° and (x-10)°. The sum of these angles is 180° as stated before.

85° + (2x)° + (x-10)° = 180°

Find the value of x:

85 +2x + x - 10 = 180

3x + 75 = 180

3x = 105

x = 35°

Substitute it in Equation (i) to get the value of <3

< 3 = (35 - x)°

< 3 = (35 - 10)°

< 3 = 25°

Answer:

$23????? You just add both of the amounts you borrowed

Answer:

x = √21.

Step-by-step explanation:

Triangles ADB and BCD are similar.

So their corresponding sides are in the same ratio:

x / 7 = 3 / x

x^2 = 21

x = √21.

Answer:

q = 18 ?

Step-by-step explanation:

This is not a complete question but ill give it a shot!

If we are following a pattern then we see q is 11 more than r.

So we do 11 + r (7) to get 18!

mark as brainliest

Answer:

Table 2.

Step-by-step explanation:

Input x as 0, the output y should be 4.

y = -2(0) + 4

y = 0 + 4

y = 4

Input x as 1, the output y should be 2.

y = -2(1) + 4

y = -2 + 4

y = 2

Input x as 2, the output y should be 0.

y = -2(2) + 4

y = -4 + 4

y = 0

Answer:

0.73

Step-by-step explanation:

The decimal 0.73 is already in decimal form.

Answer:

73/100

Step-by-step explanation:

I put it down as 100

So 73/100 is the answer

Answer:

A = 225 pi cm^2

Using 3.14 for pi

A =706.5 cm^2

Using the pi button for pi

A =706.8583471 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi cm^2

Using 3.14 for pi

A =706.5 cm^2

Using the pi button for pi

A =706.8583471 cm^2

Answer:

225π cm^2, 706.5 cm^2, 706.858... cm^2

Step-by-step explanation:

The area of a circle can be found using the following equation:

[tex]a=\pi r^2[/tex]

We know the radius is 15 cm, so we can substitute 15 cm in for r.

[tex]a=\pi (15cm)^2[/tex]

1. In terms of pi

To find the area in terms of pi, evaluate everything possible without multiplying by pi.

Evaluate the exponent.

[tex]a=\pi (15cm)^2[/tex]

15cm^2= 15 cm * 15 cm = 225 cm^2

[tex]a=\pi * 225 cm^2[/tex]

This can be rewritten as:

[tex]a=225\pi cm^2[/tex]

2. Using 3.14 for pi

Substitute 3.14 in for pi.

[tex]a=\pi (15cm)^2[/tex]

[tex]a=3.14*(15cm)^2[/tex]

[tex]a=3.14*225 cm^2[/tex]

Multiply

[tex]a=706.5 cm^2[/tex]

3. Using 3.14159265.... as pi

[tex]a=\pi (15cm)^2[/tex]

[tex]a=\pi *225 cm^2[/tex]

Multiply, using the pi button on a calculator

[tex]a=706.858346 cm^2[/tex]

Hey there! :)

Answer:

r = 105.

Step-by-step explanation:

In the quadratic formula, √r = [tex]{\sqrt{b^{2}-4ac }[/tex]

Where a = 1, b = -9, and c = -6. Therefore:

√r = √(-9)² - 4(1)(-6)

√r = √81 -4(-6)

√r = √81 + 24

√r = √105

Therefore, r = 105.

Answer:

he have 40 pencils because it's need to double it.

Answer:

4 pencils

Step-by-step explanation:

17-5=12

12÷3=4

Answer:

Reflexive property

Step-by-step explanation:

Answer:

a = 95

Step-by-step explanation:

a+ 35+ 50 = 180

Combine like terms

a+ 85 = 180

Subtract 85 from each side

a+85-85 = 180-85

a = 95

Answer:

x>=16

Step-by-step explanation:

Let's subtract 17 from each side!

17 + x>=33

-17          -17

This gets us x>=16

Answer: B.

x≥16

Step-by-step explanation:

17+≥33

subtract 17 on both sides

x≥16

Answer:

ax² + bx + c

Step-by-step explanation:

The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.

Suppose a quadratic function:

f(x) = 2x² - 8x + 9

Use ( -b/2a ,  f(-b/2a) ).

-b/2a

a = 2

b = -8

-(-8)/2(2)

8/4

= 2

f(2) = 2(2)² - 8(2) + 9

f(2) = 2(4) - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

The minimum value of this quadratic function is (2, 1).

It represents a minimum value because a > 0.

Answer:

Vertex form

Step-by-step explanation:

There are several forms of the quadratic equation

Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry

Factored form: y = (ax - c)(bx - d)   which will give us the zeros

and

Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex

The maximum and minimum would be the value of k

It would be maximum when a >0 and minimum when a<0

option B gives the distance between the points.

Answer:

Option B

Step-by-step explanation:

The coordinates are (1,-2) and (2,4)

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(1-2)^2+(-2-4)^2}[/tex]

Answer:

D. -11/12

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Simply plug in our coordinates:

m = (4 - 15)/(0 + 12)

m = -11/12

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

An equation is formed of two equal expressions. There are a total of 16 tricycles.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the total number of bicycles be represented by x, while the total number of tricycles is represented by y.

The total number of vehicles is 40. Therefore, we can write the equation as,

x + y + 2= 40

x + y = 38

Solving the equation for x,

x = 38-y

Also, given that the total number of wheels is 100, also, the number of four-wheelers is 2. Therefore, the total number of wheels can be written as,

2x + 3y + 2(4) = 100

2x+ 3y = 92

Substitute the value of x from the above equation,

2(38 - y) + 3y = 92

76 - 2y + 3y = 92

y = 16

Hence, there are a total of 16 tricycles.

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Answer:

$105

Step-by-step explanation:

150 times 0.7 is equal to 70% of 150

70% of 150 is 105

105 is the reduced price

Answer:

The midpoint is (2.5, 3.5)

Step-by-step explanation:

The midpoint is the average of the coordinates

x = (x1+x2)/2  and y =(y1+y2)/2

x = (2+3)/2 = 5/2 = 2.5

y = (3+4)/2 = 7/2 = 3.5

The midpoint is (2.5, 3.5)

Answer:

(2.5, 3.5)

Step-by-step explanation:

The midpoint is found by taking the average of the x-coordinates and the average of the y-coordinates.

Here, the average of the x-coordinates is (2 + 3)/2 = 5/2 = 2.5.

The average of the x-coordinates is (3 + 4)/2 = 7/2 = 3.5.

The answer is thus (2.5, 3.5).

~ an aesthetics lover

Answer:

centre = (-5, -4)

radius = 7.42

Step-by-step explanation:

The general form for center-radius is

(x - h)² + (y - k)²= r²

Center = (h, k)

Radius = r

Rearrange the equation.

(x² + 10x) + (y² + 8y) - 14 = 0

Add 14 on both sides.

(x² + 10x) + (y² + 8y) = 14

(10/2)² = 25

(8/2)² = 16

Add 25 and 16 to both sides.

(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16

Factor left side of the equation.

(x+5)² + (x+4)² = 55

(55) = (7.416198)²

(x+5)² + (x+4)² = 7.42²

The radius is 7.42.

The centre is at (-5, -4).

Answer:

Choice D 7/26

Step-by-step explanation:

So first let's count how many face cards there are. We have a Jack, a Queen, and a King in all of the 4 sets of cards. This knowledge tells us that we have 12 face cards out of the 52 cards.  Then, we have 2 red sixes in the game.  These come from the 6 of hearts and the 6 of diamonds.  This makes the new total of the cards we want to draw 12+2=14. Then we now have the fraction 14/52.  After simplifying we get the answer 7/26 is our probability (choice D)

Answer:

7/26

Step-by-step explanation:

52 cards

Jacks , queens, kings are face cards =

3 per suit *4 suits = 12 cards

2 red sixes = 2

P (red 6 or face cards ) = red 6 or face cards / total

                                    = (12+2) / 52

                                     = 14/52

                                     = 7/26

Answer:

the answer is 1

Step-by-step explanation:

you convert 1/2 to a decimal, 0.5, then subtract. 0.75 and 0.25 to get 0.5, and when you add those two it equals one.

Answer:

It would equal 1

Step-by-step explanation:

Convert 1/2 to 0.5 then it would be easier to solve.

0.75-0.25=0.5

0.5+0.5=1

Hope this helps!

Answer:No, every whole number is not a solution of x > 0 because the whole numbers include 0. The solution set of x > 0 does not include 0. So, 0, which is a whole number, is not a solution of x > 0.

Step-by-step explanation:

No, Is it not true that every whole number is a solution of x > 0.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

To check, Is it true that every whole number is a solution of x > 0.

Now, We know that;

Every whole number is a solution of x ≥ 0.

That is, Zero is include in the whole numbers.

Therefore, Is it not true that every whole number is a solution of x > 0.

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Answer: 2 <= X <= 5

Step-by-step explanation:

Answer: 2 <= X <= 5

Step-by-step explanation:

Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.

And no less than 2 days per week. That is, greater than or equal to 2 days.

Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2

An inequality to represent the range of days an employee can work will be

2 <= X <= 5

Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days