What is the half-life of a 100.0g sample of nitrogen-16 that decays to 6.25 grams in 80 seconds?​

Answer:

62 square feet

Step-by-step explanation:

9 x 8 = 72

5 x 2 = 10

72 - 10 = 62

Question isnt well formatted :

Answer:

1 : 6

Step-by-step explanation:

Given the question :

3x = 1/2y

3x = y/2

Multiply both sides by 2

3x * 2 = y/2 * 2

6x = y

This can be interpreted as :

y = 6 times the value of x

x = y/6

x : y

1 : 6

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

84

Step-by-step explanation:

12*3+6x=4.20(12+x)

36+6x=50.4+4.2x

6x-4.2x=50.4-36

1.8x=14.4

x=14.4/1.8

x=8 pounds of cashews is used.

Proof:

12*3+6*8=4.2(12+8)

36+48=4.2*20

84=84

(not mine)

from algebra.com

The value of x is 3 and angle Q is 39°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

A circle theorem states that : angles in thesame segment are equal.

With this theorem is means that angle 13x is equal to angle x +36 .

Therefore;

13x = x +36

collecting like terms

13x -x = 36

12x = 36

divide both sides by 12

x = 36/12

x = 3

therefore the value of angle Q = 13 × 3

= 39°

Therefore the value of angle Q is 39°

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Answer:

\(the \: porpcon \: intercept, \: p = (0, \: 5) \\ the \: drink \: intercept, \: p = (2.5, \: 0)\)

Step-by-step explanation:

\(let \: the \: price \: of \: each \: popcorn \: be : p \\ let \: the \: price \: of \: each \:drink \: be : d \\ \\ p = 5 \\ d = \frac{5}{2} = 2.5 \\ \\ explanation : \\ the \:p - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: p - axis. \\ the \:d - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: d - axis. \\ \\ \\ i \: believe \: with \: these \: information \:you \: can \: plot \: clear \: graph \: \)

The value of x as shown in the right triangle is 6 units.

The value of x as shown in the right triangle is calculated by applying altitude/leg theorem as shown below.

The altitude/leg theorem, also known as the HL congruence theorem, states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

segment / altitude = altitude / segment

4/x = x/9

x² = 4(9)

x² = 36

x = √36

x = 6 units

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Answer:

what man we can barley see

Step-by-step explanation:

Answer:

Sarah has 11 packages of sour patch kids and 6 packages of M&Ms

Step-by-step explanation:

11 + 6 = 17, and 11 is five more than 6, fulfilling the needs of the problem

Answer:

Sarah has 11 packages of sour patch kids and 6 packages of M&Ms

Step-by-step explanation:

11 + 6 = 17, and 11 is five more than 6, fulfilling the needs of the problem

hope this helps

Answer:

n = -5

Step-by-step explanation:

6n + 4 = -26

6n = -26 - 4

6n = -30

6n/6 = -30/6

n = -5

Answer:

square root of 25

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the square root of 25 is 5, and thats the only rational number there

I hope I was helpful! :D

Answer:

6n+2

Step-by-step explanation:

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

4/11

Step-by-step explanation:

The probability of winning a new TV is the number of times you will win a TV over the total number of times you try to win a TV. In this case, the odds of winning a new TV are 4/7, or 4 wins every 7 loses. (Odds are probability of success to failure) Therefore, there are 4 wins for every 4 + 7 raffles, or 4/11.

Check the picture below.

now, we know, the wider the angle, the longer the opposite side.

so, let's just look at all 5 sides and check the angle that's opposite to them, or namely, making the side.

\(\stackrel{DF}{46^o}\qquad \stackrel{CD}{55^o}\qquad \stackrel{CE}{74^o}\qquad \stackrel{EF}{45^o}\qquad \stackrel{DE}{89^o} \\\\\\ \stackrel{\textit{in ascending order}}{\stackrel{EF}{45^o}~~ < ~~\stackrel{DF}{46^o}~~ < ~~ \stackrel{CD}{55^o}~~ < ~~ \stackrel{CE}{74^o}~~ < ~~ \stackrel{DE}{89^o}}\)

When two variables' ratios are equivalent, proportional relationships between them emerge.The right response is option c.A $50 membership fee plus a $20 monthly cost is required to use a gym.

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The density of the block of wood is 1.04g/cm³

Density is the ratio of the mass of an object to its volume. It is a scalar quantity and it is measured in g/cm³ or kg/m³.

Density = mass/volume

Mass = 0.280kg = 0.280 × 1000 = 280g

volume = 270cm³

Density = mass/volume

Density = 280/270

= 1.04g/cm³

Because the density of the object is just slightly higher than the density of water which is 1g/cm³

, therefore the object will float in water.

For an object to float in water, it must be equal to the weight or density of the water

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Answer:

-x + 9

Step-by-step explanation:

2x+3+8-3x-2 = 2x - 3x + 3 + 8 -2 = -x +9

Answer:

9-x

Step-by-step explanation:

Answer:38

Step-by-step explanation:just cause its correct

A graph of triangle ABC is shown below.

A graph of triangle A'B'C, the image of ΔABC after a translation right 1, down 3 is shown below.

A graph of triangle A"B"C", the image of ΔABC after a dilation of 2 is shown below.

ΔA"B"C" does not represent a rigid motion because the pre-image and the image are not congruent.

By translating the pre-image triangle ABC vertically down 3 units and horizontally right 1 unit, the coordinates of the image of triangle A'B'C'D' include the following:

(x, y)                               →                  (x + 1, y - 3)

Coordinate A = (2, 3)   →    Coordinate A' = (2 + 1, 3 - 3) = (3, 0)

Coordinate B = (4, 0)   →    Coordinate B' = (4 + 1, 0 - 3) = (5, -3)

Coordinate C = (5, 4)   →     Coordinate C' = (5 + 1, 4 - 3) = (6, 1)

By applying a dilation with a scale factor of 2 centered at the origin, we have:

Coordinate A = (2, 3)   →    Coordinate A" = (4, 6)

Coordinate B = (4, 0)   →    Coordinate B" = (8, 0)

Coordinate C = (5, 4)   →     Coordinate C" = (10, 8)

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Answer:460

Step-by-step explanation:on delta math

The total number of action figures in Genesis's collection will be 460.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.

The obtained expression for the given condition,

=253 / (1-0.45)

=253/0.55

=25300/55

=460

Thus, the total number of action figures in Genesis's collection will be 460.

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The total area of the quilt is: 112.5 square inches

The six-sided figure is given, and we can deduce the following parameters from the question:

The shape is made of a triangle and a rectangle

The side lengths derived from the question are:

The triangle on top:

base: 5 inches and height: 5.18 inches

The rectangle at the bottom:

Base: 16 inches with a height of 7.5 inches

So, we have the total area of the figure to be

Area of figure = 1/2 * 5 * 6 + 13 * 7.5

Area of figure = 112.5

Based on the parameters, the total area is 112.5 square inches

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The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

The complete statement is -

This equation will have infinitely many solutions when h = 4 because you get infinite solutions when you have the same number of x's on each side and the same constant.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the equation as -

4x + 4 = 4x + h

Now, for h = 4, the equation will become -

4x + 4 = 4x + 4

4x = 4x

x = x

x - x = 0

0 = 0

We can fill in the blank as -

This equation will have infinitely many solutions when h = 4 because you get infinite solutions when you have the same number of x's on each side and the same constant.

Therefore, the complete statement is -

This equation will have infinitely many solutions when h = 4 because you get infinite solutions when you have the same number of x's on each side and the same constant.

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Answer:

Step-by-step explanation:

Hello, because of the end behaviour it means that the leading coefficient is negative so we can construct such polynomial function as below.

\(\large \boxed{\sf \bf \ \ -(x+7)(x-6) \ \ }\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The polynomial function will be f ( x ) = - x² - x + 42

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+ bx + c = 0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

The polynomial function is of second degree with zeros of -7 and 6

So , x = -7 and x = 6

Let the function be f ( x ) where f ( x ) = ( x + 7 ) ( x - 6 )

Now , as x tends to infinity , the negative makes no such difference on the zeros of the function f ( x ) ,

And , f ( x ) = - ( x + 7 ) ( x - 6 )

Therefore , to find the polynomial function , f ( x ) = - ( x + 7 ) ( x - 6 )

f ( x ) = - [ x² - 6 x + 7 x - 42 ]

        = - [ x² + x - 42 ]

        = - x ² - x + 42

Hence , the polynomial function f ( x ) = - x ² - x + 42

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Answer:

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Step-by-step explanation:

Let the random variable p denote the proportion of children affected by nearsightedness.

The previously known proportion was, p = 0.12.

A random sample of n = 198 children are selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p\)

The standard deviation of this sampling distribution of sample proportion is:

\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Step-by-step explanation:

I/2×7×11 can't be bothered using a calculator

Answer:

54 sq units

Step-by-step explanation: