An element has half life of about 20 days. How much of 3000 gram sample is left after 100 days?

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (a, b) and (a + 3, b + 3). Substitute:

[tex]m=\dfrac{b+3-b}{a+3-a}=\dfrac{3}{3}=1[/tex]

[tex]y-b=1(x-a)[/tex] - point-slope form

Convert to the slope-intercept form: y = mx + b:

[tex]y-b=x-a[/tex]        add b to both sides

[tex]y=x+b-a[/tex] - slope-intercept form

Answer:

Step-by-step explanation:

answer for edmentum

Answer:

18 stickers.

Step-by-step explanation:

Cindy buys 18 more stickers in the start. This results in 13+18= 31 stickers. She then gets five for her birthday. 31+5=36 so she now has 36 stickers but she then gives eight away which means she has 36-8=28 stickers. She uses ten stickers to decorate so Cindy has 28-10=18 stickers left

Answer:

si esta bien

Step-by-step explanation:

Answer: $48

Step-by-step explanation: The amount of money Joe made can be divided by 9. 54/9 = 6. Joe made 9 dollars six times so Leila made 8 dollars 6 times. 6 x 8 = 48.

Answer:

12 inches.

Step-by-step explanation:

The quadrilateral  will be rectangle and the diagonals will be parallel and equal to the sides of the rhombus.

If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.

A rhombus is a quadrilateral (has four sides and four angles) in which the opposite sides are equal and parallel. All the sides of a rhombus are equal.

If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.

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Answer:

0.343 L

Step-by-step explanation:

A liter has 1000 mL which is 1000 cm^3

The volume of the cube = s^3

s = 7

Volume = 7^3

V = 343 cc

The number of liters = 343 / 1000 = 0.343 L

Answer:

The correct option is B.

Step-by-step explanation:

If polar coordinates of point P are

[tex]P=(r,\theta)[/tex]

Where, r is real number and θ is in radian, then all polar coordinates of point P are defined as

[tex]P=(r,\theta+2n\pi)[/tex]

[tex]P=(-r,\theta+(2n+1)\pi)[/tex]

The given coordinates are [tex]P(5,-\frac{\pi}{6})[/tex]. So, all polar coordinates of point P are

[tex]P=(5,-\frac{\pi}{6}+2n\pi)[/tex]

[tex]P=(-5,-\frac{\pi}{6}+(2n+1)\pi)[/tex]

Therefore correct option is B.

340 divided by 0.3 = 1133.3

hope this helps xx

Answer:

6x + 8

Step-by-step explanation:

The perimeter of the rectangle

P = 2(L + W)

Plug in

= 2(2x + 3 + x + 1)

= 2(3x + 4)

Distributive property

= 6x + 8

Answer:

The perimeter of the rectangle = 6x + 8

THE AREA OF A CIRCLE = πr^2

Here π = 3.142

r = 7.5

now A = πr^2

A = 3.142× 7.5×7.5

A = 176.7375cm^2

Hope it helped you.

Answer:

The area of shaded = 13.09 cm^2

Step-by-step explanation:

360 /6 = 60

So the shaded area is 1/6 of the circle

Area of circle = pie r^2

So area of shaded = 1/6(pie r^2)

= 1/6 * 3.142 * 5^2

= 13.09 cm^2

The value of b is -6.

To find the value of b, we need to solve the quadratic equation b2 + 2b - 24 = 0.

Since b < 0, we can eliminate the positive solution.

We can factor the equation by finding two numbers whose product is -24 and sum is 2.

The numbers are -4 and 6.

So, the factored form of the equation is (b - 4)(b + 6) = 0.

Setting each factor equal to zero, we find that b = -6 or b = 4.

Since b < 0, the value of b is -6.

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Final answer:

Using the quadratic formula, we find that b = -6 (option A), considering the requirement that b < 0 for the equation b² + 2b - 24 = 0.

Explanation:

To find the value of b given the quadratic equation b² + 2b − 24 = 0 and knowing that b is less than zero, we can use the quadratic formula:

The quadratic formula is −b ± √(b² − 4ac /2a), where a, b, and c are coefficients from the quadratic equation in the form ax2 + bx + c = 0.

In this case, a = 1, b = 2, and c = −24. Applying these values to the quadratic formula, we have:

−(2) ± √((2)² − 4(1)(−24) /2(1))

The discriminant part of the formula, b² − 4ac, equals (2)² − 4(1)(−24) = 4 + 96 = 100. Therefore, the square root of the discriminant is 10.

Simplifying further, we have:

(−2 ± 10) / 2 = −6 or +8

Since b < 0, we disregard the positive solution and consider b = −6, which is option A.

Answer:

1.  x

2. 3x-6

Step-by-step explanation:

1) y=|x−3|+|x+2|−|x−5| , IF -2 < X < 3

|x−3| will be less than zero if -2 < X < 3   so rewrite it as 3-x

|x+2| will be greater than zero if -2 < X < 3  so we can leave it as x+2

|x−5| will be less than zero  if -2 < X < 3 so we rewrite it as 5-x

1. 3-x + x+2  - (5-x)

Combine like terms

5 - (5-x)

Distribute

5 - 5+x

x

1) y=|x−3|+|x+2|−|x−5| , IF 3 < X < 5

|x−3| will be greater than zero if 3 < X < 5   so leave it  as x-3

|x+2| will be greater than zero if 3 < X < 5  so we can leave it as x+2

|x−5| will be less than zero  if -2 < X < 3 so we rewrite it as 5-x

x-3 + x+2  - (5-x)

Combine like terms

2x-1 - (5-x)

Distribute

2x-1 - 5+x

3x-6

a)

Subtract 0.4 from both side.

-9x +0.4 = 4

-9x + 0.4 - 0.4 = 4 - 0.4

-9x = 3.6

b)

divide by -9 both side

-9x/-9 = 3.6/-9

x = -0.4

c) x = - 0.4

The steps needed to solve the given equation is required.

Adding the opposite value of the constant to both sides.

Divide both sides by the coefficient of the variable.

The solution to the equation is [tex]x=-0.4[/tex]

The given equation is

[tex]-9x+0.4=4[/tex]

In order to solve this we first move constants to the side opposite of the variable.

This is done by adding the opposite value of the constant to both sides.

[tex]-9x+0.4-0.4=4-0.4[/tex]

Here [tex]0.4[/tex] is the constant so we add [tex]-0.4[/tex] to both sides.

[tex]\Rightarrow -9x=3.6[/tex]

Now, we divide both sides by the coefficient of the variable.

[tex]\Rightarrow \dfrac{-9x}{-9}=\dfrac{3.6}{-9}\\\Rightarrow x=-0.4[/tex]

The solution to the equation is [tex]x=-0.4[/tex]

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Answer:

1) true

2)False

3) False

4)true

Step-by-step explanation:

1) I doubled 50 to make a hundred girls = 100% and theni had to double 18 to get 36= 36%

2) because it is 8.4%

3) Because the total number of girls is the highest for 1 fruit

Final answer:

To create a polynomial with zeros at -1, 2, and 7, each with a multiplicity of 1, you start with the factored form (x + 1)(x - 2)(x - 7) and expand it to get the standard form x^3 - 8x^2 + 15x + 14.

Explanation:

The question involves finding a polynomial function with given zeros. When a polynomial has zeros of -1, 2, and 7, all with a multiplicity of 1, the function can be expressed as product of linear factors associated with each zero. Starting from the factored form f(x) = (x - (-1))(x - 2)(x - 7), which encapsulates the given zeros, you can then expand this expression to get the polynomial in its standard form.

The expanded form of the polynomial is then f(x) = (x + 1)(x - 2)(x - 7), which, when expanded, yields f(x) = x^3 - 8x^2 + 15x + 14. This is a polynomial function in standard form that has the required zeros, each with a multiplicity of 1.

Answer:

52

Step-by-step explanation:

Answer:

The answer is,52

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. It's measured in square units like [tex]cm^{2}[/tex],[tex]m^{2}[/tex] , and so on. You must multiply the length by the width to find the area of a square formula or other quadrilateral.

According, to the question:

[tex]Area=l[/tex]×[tex]b[/tex]

area=13×4

area= 52

Hence, The scrapping area is 52 square feet.

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-32-4y=90

-4y=122

Y=-30.5

The solution is y =30.5

-4 (8+y) = 90

-32 - 4y = 90

Adding 32 on both sides

-32 - 4y +32 = 90 + 32

-4y = 122

or y = 30.5

Answer:

$3.79 for an 8 foot board

Step-by-step explanation:

The way to find the answer is calculating the price per foot.

Part 1

$3.79 for an 8 foot board.

one foot would cost:

$3.79 ÷ 8  =  0.47375

Part 2

$6.18 for a 12 foot board?

Price of one foot would be:

$6.18 ÷ 12 = 0.515

$0.47375 is less than $0.515. So, the cheaper treated lumber is the one costing $3.79 for an 8 foot board.

Answer:

150

Step-by-step explanation:

4, 5 and 6 are all numbers greater than 3.

The chances of rolling a 4 is 1/6, that of a 5 is 1/6, and that of a 6 is 1/6.

The chances of rolling a number greater than 3 is thus 3/6, or 1/2.

This is theoretical probability; you haven't actually observed this happening.

We can now multiply (300 rolls) by this probability 1/2, obtaining 150.

We predict that in 300 rolls, 150 numbers greater than 3 would be rolled.

Simplifying

4x + -3y = 12

Solving

4x + -3y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

4x + -3y + 3y = 12 + 3y

Combine like terms: -3y + 3y = 0

4x + 0 = 12 + 3y

4x = 12 + 3y

Divide each side by '4'.

x = 3 + 0.75y

Simplifying

x = 3 + 0.75y

Answer:

50%

Step-by-step explanation:

due to the fact that its true/false questions, so that means when you answer you have 2 choices. a 50/50 chance of getting them right or wrong

Answer:

The first one is true. 5b+15=14

Step-by-step explanation:

(b+3)/7=  2/5

After cross-multiplication:

5(b+3)=2*7

5b+15=14

Answer:

The bottom right, middle top, and bottom left are NOT cubes.

Step-by-step explanation:

Cubes are defined as a three dimensional object with the same length, width, and height. Since the square on the bottom left is two dimensional, It is not a cube. Since the hexagon on the bottom right is two dimensional, It can't be a cube. The Middle top shape doesn't have the same length height as it's width is, so it is not a cube. The rest are cubes.

Answer: Circle 1st, 2nd, 4th, and 6th

Step-by-step explanation:

A cube is 4 perfect squares in a 3-D shape. Only shape 3 and 5 show this.

Answer:192/19

Step-by-step explanation:

10/1 +2/19=190/19+2/19=192/19

Answer: 192/19

Step-by-step explanation:

Hence , Formula for permutation and combination is

[tex]P(n,r)=\frac{n!}{n-r!}[/tex]

No of ways in which  we can obtain possible no. of ways in which particular arrangement can be made.

The way in which we can select item as per given situation

[tex]P(n,r)=\frac{n!}{n-r!}[/tex]

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The formula for [tex]P(n,r)[/tex], which represents the number of permutations of r objects from a set of n distinct objects, is given by: [tex]\[ P(n,r) = \frac{n!}{(n-r)!} \][/tex]

To understand this formula, let's break it down:

1. [tex]\( n! \)[/tex] gives the number of ways to arrange n distinct objects in a sequence.

2. [tex]\( (n-r)! \)[/tex] gives the number of ways to arrange the remaining [tex]\( n-r \)[/tex] objects that are not chosen for the permutation.

3. Dividing [tex]\( n! \)[/tex] by [tex]\( (n-r)! \)[/tex] effectively cancels out the arrangements of the [tex]\( n-r \)[/tex] objects that we are not interested in, leaving us with the number of ways to arrange just the r objects.

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{6}[/tex]

⇒ [tex]\frac{3}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex]

⇒[tex]\frac{2}{3}[/tex]

Answer:

The slope is .075 and the y intercept is -.125

Step-by-step explanation:

8y = .2(3x -5)

Distribute the .2

8y = .6x - 1

Divide by 8

8y/8 = .6x/8 -1/8

y = .075x -.125

This is in slope intercept form  y= mx+b  where m is the slope and b is the y intercept.

The slope is .075 and the y intercept is -.125

Answer:

2 19/72

Step-by-step explanation:

Overall without stating all the steps, it'd be 2.

Answer:

The distance the player throws the ball is [tex]112.5\ ft[/tex]

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABX

[tex]AB=90\ ft[/tex]

[tex]BX=(3/4)90=67.5\ ft[/tex]

XA --------> is the distance the player throws the ball (hypotenuse of the right triangle)

Applying the Pythagoras Theorem

[tex]XA^{2}=AB^{2}+BX^{2}[/tex]

substitute the values

[tex]XA^{2}=90^{2}+67.5^{2}[/tex]

[tex]XA^{2}=12,656.25[/tex]

[tex]XA=112.5\ ft[/tex]

The distance player throws the call was calculated using Pythagoras theorem and it is 112.5 feet.

It is given that

Side of the square = 90 feet

Distance of point x from the second base = 3/4 * 90 = 67.5

The distance the player throws the call let us say D will be the shortest distance between x and 1st base.

Distance D can be calculated by Pythagoras theorem

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the perpendicular and the base.

[tex]D = \sqrt{90^{2} +67.5^{2} }[/tex]

[tex]D = \sqrt{8100+4556.25} \\\\D = \sqrt{12656.25\\}\\[/tex]

[tex]D=\sqrt{12656.25} = 112.5[/tex]

Therefore, the distance the player throws the call is 112.5 feet.

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[tex]y = a(x)^(2) + bx + c [/tex]