Reema bought pencils for school in August. She gave


now had 3 pencils left.


。 of them to her friends. She used


of what she had left the first month of school. She


How many pencils did she buy in August?


O A 48


O B. 36


O c. 24


OD. 12


O E. 6

Answer:

120

Step-by-step explanation:

I’m assuming you ment 12(2+7+1)

soooo

2+7=9

9+1=10

so here’s it is now

12(10)

when there’s 2 numbers like that you multiply

so 12 x 10 = 120

and there’s your answer

======================================================

Explanation:

3/6 = 1/2 of the numbers on the cube are even (2,4,6)

If we wanted both cubes to show an even number, then this comes up (1/2)*(1/2) = 1/4 of the time.

There are 6*6 = 36 outcomes total, so there are (1/4)*36 = 9 outcomes when both dice show an even number.

---------

Those nine outcomes are listed below

You probably have noticed that A has 3 choices (2,4,6) and so does B. That gives 3*3 = 9 outcomes total. This is an alternative pathway compared to the previous section.

He played 7480 minutes across three years.

The information provided, expressed in minutes per year, is as follows:

The first year is 2181 minutes, the second is 2583 minutes, and the third is 2716 minutes.

Add that now to determine the total amount of time:

The sum of the three years is 7480 minutes (2181 + 2583 + 2716).

The gamer used 7480 minutes throughout the course of three years.

The measurement of continuously occurring events is done in terms of time. In hours, seconds, and minutes, it is measured. The well accepted established formulae can be used to compute it.

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Answer:

9

Step-by-step explanation:

Radius = x

The triangle in the given image is a right angled triangle.

By Pythagoras theorem,

x² + 12² = ( x + 6 )²

x² + 144 = x² + 36 + 12x

x² - x² = 36 - 144 + 12x

0 = - 108 + 12x

12x = 108

x = 108 / 12

x = 9

To find the line equation of the form: y = mx, we can proceed as follows:

As we can see, if we multiply the variable, x, times 8, we obtain the value for y, that is:

Therefore, we have here a proportional relationship between the variable, hr (represented above as x), and the variable, earnings (represented above as y).

Hence, the relationship is of the for y = 8x.

Answer:

10.5

Step-by-step explanation:

a) Using the logistic equation, dP/dt = kP(1 - P/K), we substitute P = 3P₀ and t = 1, resulting in 3kP₀(3500 - 3P₀) = 3P₀. Simplifying, we find k = 1 / (3500 - 3P₀), which gives us the constant k.

(b) We aim to determine how long it will take for the population to increase to 1750, which is half of the carrying capacity (K = 3500). Denoting the time taken as T, we solve for T when P(T) = 1750.

Using numerical  styles like Euler's  system or employing computer programs, we can  compare  the value of T that satisfies the equation. The process involves  opting  an  original time( t ₀) and population size( P ₀),  also iteratively calculating the population at each time step until P( T) is close to 1750.  

k = 1 / (3500 - 3P₀)

3kP₀(3500 - 3P₀) = 3P₀

3kP₀(3500 - 3P₀) = dP/dt

k(3P₀)(1 - 3P₀/3500) = dP/dt

k(3P₀)(1 - 3P₀/3500) = dP/dt

dP/dt = kP(1 - P/K)

This numerical approach allows us to estimate the value of T,  furnishing an approximate answer for how long it'll take for the population to reach half of the carrying capacity.

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A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

Answer: 1.5 mm

Step-by-step explanation:

Answer: r=1.02

Step-by-step explanation:

(3 • 4.5/4•pi)1/2

Answer:

Technically, it already works because you have $16.15

Step-by-step explanation:

The correct answer is: 0, -3, and 3. At  0, -3, and 3 of x does fx) x4-18x2 have a critical point where the graph changes from decreasing to increasing.

To find the critical points where the graph of the function f(x) = x^4 - 18x^2 changes from decreasing to increasing, we need to find the values of x where the derivative of the function is equal to zero or does not exist.

Let's find the derivative of f(x) with respect to x:

f'(x) = 4x^3 - 36x

To find the critical points, we set the derivative equal to zero and solve for x:

4x^3 - 36x = 0

Factor out 4x:

4x(x^2 - 9) = 0

Now we have two factors:

1) 4x = 0, which gives x = 0

2) x^2 - 9 = 0, which gives x = ±3

So, the critical points where the graph changes from decreasing to increasing are x = 0, x = -3, and x = 3.

Therefore, the correct answer is: 0, -3, and 3.

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The coordinate of the image point is (9,1).

There are eight types of rules for the transformation of a point. When the  takes place across a line, then the point (x,y) is changed to the point (y,x).

Given that the rule for the transformation of a point P(1,1) is \(R_{x=5} (P)\), which defines the reflection of a point about a line, that is parallel to the y-axis. The line \(x=5\) is like a mirror. So, the distance between the line and the image point is equal to the distance between the line and the original point.

Using the point-line distance formula, the distance between the line \(x=5\) and a point (1,1) is given by \(|5-1|=4\).

Similarly, by the above statement, the distance between the line \(x=5\) and the image point will also be 4.

Therefore, the coordinate of the image point is (9,1).

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The complete question is -

If P = (1,1), then find the reflection \(R_{x=5} (P)\).

The equations for Bulk Volume of a reservoir in ft³ is VB = A*h and in barrels is VB = (A*h) / 5.615. The equations for Pore Volume of a reservoir in ft³ is VP = φ*VB and in barrels is VP = (φ*VB)/5.615. The equations for Hydrocarbon Pore Volume in ft³ is VHC = φ*S*VB and in barrels is VHC = (φ*S*VB)/5.615.

The equations for calculating the bulk volume, pore volume, and hydrocarbon pore volume of a reservoir are as follows:

1. Bulk Volume (VB):

Where:

VB = Bulk Volume

A = Cross-sectional area of the reservoir in square feet (ft²)

h = Thickness of the reservoir in feet (ft)

2. Pore Volume (VP):

Where:

VP = Pore Volume

φ = Porosity of the reservoir (dimensionless)

VB = Bulk Volume

3. Hydrocarbon Pore Volume (VHC):

Where:

VHC = Hydrocarbon Pore Volume

φ = Porosity of the reservoir (dimensionless)

S = Saturation of hydrocarbons in the reservoir (dimensionless)

VB = Bulk Volume

The conversion factor from cubic feet (ft³) to barrels (bbl) is 5.615.

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Where the logistic growth function is f( t) = 116000/(1+5200e⁻t)

a) 22 people were initially affected

b) after 4 weeks the numbers increased to 1,205 approximately

c) the limiting size of the population that becomes ill is 116,000.

The logistic equation (also known as the Verhulst model or logistic growth curve) is a population growth model developed by Pierre Verhulst (1845, 1847).

a) since when the epidemic began, the initial number of infection will always be zero, thus:

f( t) = 116000/(1+5200e⁻t )

Note that e is the mathematical constant known as Euler's number or the natural base. e = 2.71828

f(0) = 116000/(1+5200e⁻0 )

f(0) = 116000/(1+5200 (2.71828)⁻0 )

f(0) = 116000/(1+5200 (1) )

f(0) = 116000/(1+5200 )

f(0) = 116000/(5201 )

f(0) = 22.3034031917

f (0) \(\approx\) 22

B) by the fourth week,

the expression became f(4) = 116000/(1+5200e⁻4 )

f (4) = 116000 /(1+5200 (e)⁻4 )
f (4) = 1205.30347384
f (4)  \(\approx\) 1205

C)

Since the logistic curve is given as....

f(t) = 116000/(1+5200e⁻t )

as t becomes smaller and smaller nearing 0, the denominator will be almost 1

So
f(t) = 116000/(1+5200e⁻ ∞ )

f(t) = 116000/(1+0 )

f(t) = 116,000

As you can see, the limit to the size of the population that can fall ill is 116,000 peple.

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Answer:

-4

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

Choose two points from the table and plug them into the equation.

(-4, -2) and (-2, -10)

(x1, y1) and (x2, y2)

Pick one to be 2, and the other to be 1.

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

The slope of this function is -4.

The correct option is A, the lower quartile (Q1) and it is 75.

We must comprehend the quartiles of the box plot in order to calculate the number below which 25% of the data lies.

A box plot's interquartile range (IQR), which contains the middle 50% of the data, is represented by the box.

The median, which splits the data into two equally sized half, is shown by the line inside the box.

Here, the box has a line at 79 and spans from 75 to 82.

Accordingly, the lower quartile (Q1) and the upper quartile (Q3) are both situated near the box's boundary, which is 75 and 82, respectively.

The line inside the box, which is 79, is the median (Q2).

The first quartile (Q1) or the 25th percentile must be identified in order to establish the number below which 25% of the data lies.

The first quartile in a box plot symbolizes the number below which 25% of the data is found.

Since Q1 is located at the lower boundary of the box, which is 75, 25% of the data lies below the score of 75.

Hence the correct option is A.

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Answer:

A

Step-by-step explanation:

The recursive rule lets us find a term in the sequence from the previous term.

The sequence of dots is

4 , 16, 64

Thus multiplying the previous term by 4 gives the required term, thus

f(x) = f(x - 1) × 4 : f(1) = 4

so

f(2) = f(1) × 4 = 4 × 4 = 16 ← true

f(3) = f(2) × 4 = 16 × 4 = 64 ← true

A is the correct choice

Answer: A

Step-by-step explanation:

Based on the fraction of students who take Spanish, and French and Mountain Ridge Middle School, the fraction of students who take Chinese are 3/40

To find the fraction of students who take Chinese, subtract the fraction of students who take Spanish and French from 1.

The number of students who take Chinese is therefore:

= 1 - 5/8 - 3/10

= 1 - 25/40 - 12 /40

= 3/40

The full question is:

All of the students at Mountain Ridge Middle School take a foreign language. 5/8 of the students take Spanish. 3/10 of the students take French. The remaining students take Chinese. What fraction of the students take Chinese?

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Answer: 1 : 2 : 2

Step-by-step explanation:

2 : 4 : 2 divided by 2 is 1 : 2 : 2 so they're equivalent.

Given statement solution is :- 2 · AB = DF: This statement is true. In a dilation with a scale factor of 2, all lengths are multiplied by 2, the length of segment AB in triangle ABC would be doubled to obtain segment DF in triangle DEF.

m∠B = 2 · m∠E: This statement is not necessarily true. Dilations do not affect angle measurements.

After a dilation with a scale factor of 2 about the origin, the following statements are true:

2 · AB = DF: This statement is true. In a dilation with a scale factor of 2, all lengths are multiplied by 2. Therefore, the length of segment AB in triangle ABC would be doubled to obtain segment DF in triangle DEF.

m∠B = 2 · m∠E: This statement is not necessarily true. Dilations do not affect angle measurements. The angles in triangle ABC would retain their measures in triangle DEF after the dilation. So, m∠B would not necessarily be equal to 2 · m∠E.

segment CA ≅ segment FD: This statement is true. In a dilation, corresponding sides of the pre-image and image triangles are proportional. Since the scale factor is 2, the length of segment CA in triangle ABC would be doubled to obtain segment FD in triangle DEF.

BC/EF = CA/FD: This statement is not necessarily true. The ratio of corresponding side lengths in a dilation would be equal, but the given statement involves ratios of line segments. Without additional information or specific proportions, we cannot determine if this ratio is true.

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Answer:

88+94+80+79+74+83=

answer divided by 100 then get the answer

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

Expansion of the function f(A,B,C,D):

f(A,B,C,D) = (A+B+D')(A'C)(C+D)

= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)

= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D

= BA'C + BC + BD'A'C + BD'C + BD'D

Minterms SOP for the function with K-map 5.16:

The truth table for the given function is:

A B C F

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 1

The K-map for this function is:

BC

A 00 01 11 10

0 |  0  1  0  1

1 |  1  0  0  1

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C) = A'B' + A'C + BC

Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:

The truth table for the given function is:

A B C D F

0 0 0 0 0

0 0 0 1 1

0 0 1 0 0

0 0 1 1 0

0 1 0 0 1

0 1 0 1 0

0 1 1 0 1

0 1 1 1 1

1 0 0 0 0

1 0 0 1 0

1 0 1 0 0

1 0 1 1 0

1 1 0 0 1

1 1 0 1 1

1 1 1 0 1

1 1 1 1 1

The K-map for this function is:

   CD

AB 00 01 11 10

00 |   0  1  0  0

01 |   1  0  0  1

11 |   1  1  1  1

10 |   0  0  1  0

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

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Answer:

I'm thinking the anwer is B

Step-by-step explanation:

I remember doing this problem before :)

Answer: that should be B !! so sorry if wrong..

Step-by-step explanation:

To solve this question we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, let's simplify the exponents:

- Three raised to the fifth power (3^5) means multiplying three by itself five times: 3^5 = 3 * 3 * 3 * 3 * 3 = 243.
- Three raised to the square (3^2) means multiplying three by itself once: 3^2 = 3 * 3 = 9.
- Three raised to the cube (3^3) means multiplying three by itself twice: 3^3 = 3 * 3 * 3 = 27.

Next, let's simplify the expression:

- We divide 243 (from 3^5) by 9 (from 3^2), which gives us 243 ÷ 9 = 27.
- Then, we divide 27 by 27 (from 3^3), which gives us 27 ÷ 27 = 1.

Therefore, the value of the expression is 1

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For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.

In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.

To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.

Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.

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Step-by-step explanation:

4^-3   =   1/4^3   =   1/64

The outward flux of the vector field F(x, y, z) = x^2 i + y^2 j + z^2 k through the surface bounded by the equations x = 0, x = a, y = 0, y = a, z = 0, and z = a can be evaluated using the Divergence Theorem by calculating the triple integral of (2x + 2y + 2z) over the volume enclosed by the surface.

To evaluate the integral using the Divergence Theorem, we first need to calculate the divergence of the vector field F(x, y, z) = x^2 i + y^2 j + z^2 k.

The divergence of F, denoted as div(F), is given by:

div(F) = ∇ · F = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z

Taking the partial derivatives of F with respect to x, y, and z, we have:

∂Fx/∂x = 2x

∂Fy/∂y = 2y

∂Fz/∂z = 2z

Therefore, the divergence of F is:

div(F) = 2x + 2y + 2z

Now, we can apply the Divergence Theorem, which states that the flux of a vector field F through a closed surface S is equal to the triple integral of the divergence of F over the volume V bounded by S.

In this case, the surface S is defined by x = 0, x = a, y = 0, y = a, z = 0, and z = a, which encloses the volume V.

The outward flux of F through the surface S can be calculated as:

∫∫∫V div(F) dV

Since the volume V is defined by the bounds x = 0 to x = a, y = 0 to y = a, and z = 0 to z = a, the integral becomes:

∫∫∫V (2x + 2y + 2z) dV

To evaluate this integral, we need to set up the triple integral based on the given bounds and integrate over the volume V.

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Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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