number of bacteria double every 20 minutes. if the initial population is 20 how many are there after 3 hours

Answer:

Step-by-step explanation:

2y  +  3x  =  -1

2y  +  x  =  1

Subtract

2x  =  -2

x  =  -1

2y  -  1  =  1

2y  =  2

y  =  1

Answer:

exact form: 69/8

mixed number form: 8 5/8

Step-by-step explanation:

                          ^

1/4 ÷ 2/5 = 5/8   |

5/8+8 = ______|

The time taken to hit the ground is 13 seconds.

It should be noted that the function that was given based on the information is:

h(t) = 16t²

where h = height

t = time

Therefore, when the height is 2704ft, the time will be:

h(t) = 16t²

2704 = 16t²

t² = (2704 / 16)

t² = 169

t = ✓169

t = 13

The time taken is 13 seconds.

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Answer:

Cost = $12660.48

Step-by-step explanation:

Given that,

The height of the cone shape, h = 84 inches

The radius of base, b = 8 inches

The cost per cubic inch is $2.25.

The cost of nickel for the sculpture is given by :

\(C = 2.25\times \dfrac{1}{3}\pi r^2 h\\\\=0.75\times 3.14\times 8^2\times 84\\\\C=\$12660.48\)

So, the required cost is equal to $12660.48.

Answer:

1. 3<u<7

2. -2>d or d ≥ 2

3. -2.4 >s <5.2

4.  c >- 4 or c ⩽ -6 \(\frac{1}{2}\)

Step-by-step explanation:

Hope I am helpful!

The angle between the normal to the diaphragm and a line to the first minimum in the diffraction pattern is approximately 9.43 degrees

To find the angle between the normal to the diaphragm and a line to the first minimum in the diffraction pattern, we can use the concept of diffraction and the formula for the angle of the first minimum in a single-slit diffraction pattern:

sin(θ) = λ / (diameter)

where θ is the angle, λ is the wavelength of the sound, and the diameter is the diameter of the diaphragm.

First, let's convert the frequency of 15.69 kHz to the corresponding wavelength using the formula:

wavelength = speed of sound / frequency

wavelength = 1450 m/s / (15.69 kHz * 1000 Hz/kHz)

wavelength = 0.09257 meters (rounded to five decimal places)

Next, we can substitute the values into the formula to find the angle:

θ = \(sin^{(-1)}\) (0.09257 meters / 0.5806 meters)

θ ≈ 9.43 degrees (rounded to two decimal places)

Therefore, the angle between the normal to the diaphragm and a line to the first minimum in the diffraction pattern is approximately 9.43 degrees. This angle represents the bending or spreading of the sound waves as they pass through the circular hole of the diaphragm, creating the diffraction pattern.

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The missing factor in the second equation is 1, and the completed equation is: -24y + (-5) = -4(6y + 5/4)

We know that the GCF of -24y and -20 is 4. To find the missing factor in each equation, we can divide both terms by the GCF of 4.

For the first equation, we have:

-24y = 4 * (-6y)

Dividing both sides by 4, we get:

-6y = -24/4

Simplifying, we get:

-6y = -6

Therefore, the missing factor in the first equation is -1, and the completed equation is:

-24y + 20 = -4(6y - 5)

For the second equation, we have:

-20 = 4 * (-5)

Dividing both sides by 4, we get:

-5 = -20/4

Simplifying, we get:

-5 = -5/1

Therefore, the missing factor in the second equation is 1, and the completed equation is:

-24y + (-5) = -4(6y + 5/4)

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Answer:

570 86/1000

Step-by-step explanation:

decimal goes into thousandths place

570 is a whole number

simplified is 570 43/500

(5×100)+(7×10)+(8×.010)+(6×.001)

The X-axis (horizontal axis) often represents a "class boundaries" of such an ogive, whereas the Y-axis (vertical axis) typically shows the frequency count.

A sort of frequency polygon that displays cumulative frequencies is an ogive, often known as a cumulative frequency polygon.

Thus, The X-axis (horizontal axis) often represents a class boundaries being measured of such an ogive.

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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Cofunction pairs are shifted by π/2 radians (90 degrees) from each other.

Cofunction pairs are shifted by π/2 radians (90 degrees) from one another. It means that the value of one function at an angle is equal to the other function at that angle plus π/2 radians.

For example, the sine function and cosine function are cofunctions, and they are shifted by π/2 radians from each other. The same is true for other cofunction pairs such as tangent and cotangent, and secant and cosecant.

This means that the value of the sine function at a certain angle is equal to the cosine function at that angle plus π/2 radians (90 degrees), and vice versa. Similarly, the same for value of the tangent function, secant function at a certain angle.

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The present age of the son is 6 years.

In summary, the present age of the son is 6 years.

To explain the answer, let's analyze the given information. Let's assume the present age of the son is x years. According to the problem, the man is 5 times as old as his son, so the man's age is 5x years.

Two years ago, the son's age would have been (x - 2) years, and the man's age would have been (5x - 2) years. According to the problem, the sum of the square of their ages two years ago was 114, so we have the equation (x - 2)^2 + (5x - 2)^2 = 114.

Expanding and simplifying the equation gives x^2 - 4x + 4 + 25x^2 - 20x + 4 = 114.Combining like terms and rearranging the equation results in 26x^2 - 24x - 106 = 0.

Solving the quadratic equation using factoring, the quadratic formula, or other methods, we find that x = 6 or x = -2. Since we are dealing with age, a negative value is not meaningful, so we choose x = 6.Therefore, the present age of the son is 6 years, which corresponds to option a).

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To rewrite the integral ∫(2x)\(e^{4x^{2} }\)dx using integration by parts, we'll consider the function f(x) = (2x) and g'(x) = \(e^{4x^{2} }\).

Integration by parts states that ∫u dv = uv - ∫v du, where u and v are functions of x.

Let's assign:

u = (2x) => du = 2 dx

dv = \(e^{4x^{2} }\) dx => v = ∫\(e^{4x^{2} }\) dx

To evaluate the integral of v, we need to use a technique called the error function (erf). The integral cannot be expressed in terms of elementary functions. Hence, we'll express the integral as follows:

∫\(e^{4x^{2} }\) dx = √(π/4) × erf(2x)

Now, we can rewrite the integral using integration by parts:

∫(2x)\(e^{4x^{2} }\) dx = uv - ∫v du

= (2x) × (√(π/4) × erf(2x)) - ∫√(π/4) × erf(2x) × 2 dx

= (2x) × (√(π/4) × erf(2x)) - 2√(π/4) × ∫erf(2x) dx

The integral ∫erf(2x) dx can be further simplified using substitution. Let's assign z = 2x, which implies dz = 2 dx. Substituting these values, we get:

∫erf(2x) dx = ∫erf(z) (dz/2) = (1/2) ∫erf(z) dz

Therefore, the final expression becomes:

∫(2x)\(e^{4x^{2} }\) dx = (2x) × (√(π/4) × erf(2x)) - √(π/2) × ∫erf(z) dz

Please note that the integral involving the error function cannot be expressed in terms of elementary functions and requires numerical or tabulated methods for evaluation.

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Answer:

so first u would take away 300 form 40 and u would get six the u convert that 260 min to hour then u will get four hours so 4 hrs is ur answers hope this helps

Answer:

its answer C. y=-8

Step-by-step explanation:

y=-8 passes through (-2, -8) and is parallel to y=3 because they're both horizontal

The equation represents the line that is parallel to y = 3 and passes through (-2,-8) is,

⇒ y = -8.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have given that,

The line that is parallel to y = 3 and passes through (-2,-8)

Now, We have to determine the parallel line passes through (-2,-8)

Slope of line y = 3 is, 0.

So, the slope of the line parallel to y = 3 is also 0.

Thus, the equation of line passes through (-2,-8) and parallel to y = 3 is,

y - (- 8) = 0(x - (-2))

y = - 8

Thus, The equation represents the line that is parallel to y = 3 and passes through (-2,-8) is y=-8.

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Answer:

c. (1,-1)

Step-by-step explanation:

5x + 2y = 3  4x – 8y = 12  Solve for (x, y)

4x-8y=12

+8y          +8y

4x=12+8y

Divide both sides by 4

4x/4=(12+8y)/4

x=3+2y

Then take x equation and input into 5x + 2y = 3

5(3+2y)+2y=3

15+10y+2y=3

Add 10y and 2y

15+12y=3

Subtract 15 on both sides

15-15+12y=3-15

12y=-12

Divide 12 both sides

12y÷12=-12÷12

Y = -1

Insert the Y equation into 4x – 8y = 12  

4x-8(-1)=12

4x+8=12

Subtract 8 on both sides

4x-8-8=12-8

4x=4

Divide 4 both sides

4x÷4=4÷4

X = 1

Answer: C. (1, -1)

Length of a carton :

\( = \frac{22}{3} \: feet\)

Width of the carton :

\( = \frac{11}{8} \: feet\)

Height of the carton :

\( = \frac{11}{5} \: feet\)

Volume of the carton :

= Length × Width × Height

\( = \frac{22}{3} \times \frac{11}{8} \times \frac{11}{5} \)

\( = \frac{2622}{120} \)

\(\color{hotpink} = 21.85 \: feet\)

Therefore, the volume of the carton = 21.85 feet.

Answer: 1/5 would be your answer!

Divide them both by 18 and you get 1/5

hope this helps :)

Answer:

\(\frac{11}{25}\)

Step-by-step explanation:

44% can also be written as a fraction: \(\frac{44}{100}\)

To simplify this fraction, let's divide the numerator and the denominator by 4:

44/4 = 11

100/4 = 25

The simplest form of the fraction of books that are fairytales is \(\frac{11}{25}\)

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

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Answer:

Do more rolls of the number cube.

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

A constant in an equation for example the equation 3x-7=5, the constant would be 7 and 5, the coefficient would be 3, the variable would be x and lastly, the subtraction sign would be the operator. So the answer would be y.

Answer: 93c+27x−2459

Step-by-step explanation:

The required sign between -12.7a and -12.7b should be greater than sign (>).

If a is less than b, then -12.7a will be greater than -12.7b, because multiplying a smaller number by a negative constant (-12.7 in this case) will result in a larger negative value than multiplying a larger number by the same constant.

To see this, suppose we have two positive numbers x and y such that x < y. Then, multiplying both by a negative constant c will result in two negative numbers with magnitudes that are greater for x:

cx < cy, because c is negative and (x < y)

Therefore, if a is less than b, then:

-12.7a > -12.7b

So the sign between -12.7a and -12.7b should be greater than sign (>).

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