a class has 28 students the ratio of girls to boys is 4:3 how many girls are in the class

If (x, y, z) and (x, y, z) are two distinct solutions, there must be an infinite number of solutions along the line passing through them. If 25 planes meet at two points, they meet at a common point i.e., the plane is concurrent.

If (x, y, z) and (x, y, z) are two solutions to a system of linear equations, then the line passing through these two points is also a solution. This is because the line passing through two points can be parameterized by the equation (x, y, z) = t(x1, y1, z1) + (1 - t)(x2, y2, z2) for some value of t between 0 and 1, where (x1, y1, z1) and (x2, y2, z2) are the two given solutions.

If 25 planes meet at two points, then those two points must lie on all 25 planes. Therefore, the planes must be concurrent (i.e., they meet at a common point). By the Fundamental Theorem of Linear Algebra, the number of equations in a system of linear equations must be greater than or equal to the number of unknowns for there to be a unique solution.

In this case, since there are only two points of intersection among the 25 planes, the system of equations cannot have a unique solution and must either have no solutions or an infinite number of solutions.

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Find the total he spent and subtract that from 100:

12.50 x 4 = 50

50 + 4.75 = $54.75 total spent

100-54.75 = $45.25 change

Answer:

The fully shaded notes are called whole notes. The note that is not shaded in is called half notes.

Step-by-step explanation:

Solution given:

R=rate=20%

T=time=45days =1month and 15 days =1 ½ months=⅛years

P=Principal=$31000

since bank gives/takes compound interest

so

interest=P((1+R/100)^T-1)

=31000((1+20/100)^⅛-1)=$714.6

I need to pay $ 714.6

Answer:

It's D.  6x^3-5x^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4x^3+x^2+2(x^3-3x^2)

4x^3 + x^2 + 2x^3 -6x^2 (Distributed 2 through the parenthesis)

= 6x^3 -5x^2

Answered by Gauthmath

Answer:

The surface charge density is \(7.8\times10^{-8} C/m^2\).

Step-by-step explanation:

separation, d = 85 mm

Work, W = 6 x 10^-3 J

charge , Q = 8µC

The potential difference is given by

W = q V

\(V=\frac{6\times 10^{-3}}{8\times 10^{-6}}=750 V\)

Let the charge on he capacitor is q.

\(q = CV\\\\q = \frac{\varepsilon oA}{d}\times V\\\\\frac{q}{A} = \frac{8.85\times 10^{-12}\times750}{0.085} =7.8\times10^{-8} C/m^2\)

Answer:

8

Step-by-step explanation:

8

Answer:

B

Step-by-step explanation:

2x=16

16/2=8

Answer is 8

The formula to determine the  density of a liquid with cubes, a meterstick and stopwatch is density of the liquid = mass / volume = 2.7 g / (volume of liquid displaced by the cube)

Density is a measure of how much mass is contained in a given volume of a material. In order to determine the density of a liquid, you will need three things: cubes, a meterstick, and a stopwatch.

First, gather your materials and select a cube of known dimensions. Place the cube on the surface of the liquid and start the stopwatch. Observe how long it takes for the cube to sink to the bottom of the container. Let's call this time t.

Next, use the meterstick to measure the height of the liquid in the container

With these two pieces of information, you can calculate the density of the liquid using the formula:

=> density = mass / volume

The mass of the cube can be calculated as:

=> mass = volume * density of the cube

where the volume of the cube is given by

=> volume = s³, where s is the length of one side.

Since we know the length of one side (s = 1 cm), the volume of the cube is 1 cm³.

The density of the cube can be assumed to be a constant value (for example, if the cube is made of aluminum, the density is approximately 2.7 g/cm³).

So,

=> mass = volume * density of the cube = 1 cm³ * 2.7 g/cm³ = 2.7 g.

The volume of the liquid displaced by the cube can be calculated as:

volume = mass / density of the liquid = mass / (h/t²)

where h/t² is the acceleration due to gravity.

Finally,

density of the liquid = mass / volume = 2.7 g / (volume of liquid displaced by the cube)

Complete Question:

Determine the density of an unknown liquid with only a meterstick, stopwatch, and cubes that sink.

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Answer:

"The

✔ upcoming

week is so busy!" Sanjay told his mom. "

✔ First,

I have band practice.

✔ Two days later,

I have to volunteer at the animal shelter, but

✔ before that

I have piano lessons. By

✔ the end of the week

I will be exhausted."

lol

Answer:

As the cost of a gym membership goes up, the number of new gym memberships sold goes down.

The type of problem-solving strategy that you are using in this scenario is heuristic or availability heuristic.

The availability heuristic is a mental shortcut that involves making judgments based on the most easily available or memorable information. In this case, the vivid and dramatic accounts of shark attacks shown on television have created a biased perception of the likelihood of such incidents occurring. This bias can lead to an overestimation of the probability of a shark attack and the decision to avoid swimming in the ocean.

It's important to note that the actual probability of a shark attack is extremely low, and there are many precautions and safety measures that can be taken to reduce the risk even further. Using more accurate and comprehensive information, such as statistics and expert opinions, can help to counteract the effects of the availability heuristic and make more informed decisions.

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x and x⁴-16x²+56 are the resulting composite functions respectively.

Given the following functions below

f(x) = 7/x

g(x) = x² - 8

We need to determine the composite functions (fof)(x) and (gog)(x)

(fof)(x) = f(f(x))

f(f(x)) = f(7/x)

Replace x with 7/x

f(7/x) = 7/(7/x)

f(7/x) = 7 * x/7

f(7/x) = x

Similarly:

(gog)(x) = g(g(x))

g(g(x)) = (x² - 8)² - 8

g(g(x)) = x⁴-16x²+64 - 8

g(g(x)) = = x⁴-16x²+56

Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56

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Answer:

-15

Step-by-step explanation:

10x-3y= -15

Answer: I'm 99% sure its -15

Step-by-step explanation:

Answer:

2. For the squares moving from left to right it would be 2x, 1x, 3x, 3x

the answer is 6x

for 3. its also -3x for each box and then there is a -45 for the last bottom one the answer is -12x-45

Step-by-step explanation:

I did this assignment You're welcome

Answer:

pls send the question well

Answer:

yea...........

Step-by-step explanation:

A=lw lol

Answer:

y=-2x+1

Step-by-step explanation:

Just look at photo dap

Answer:

2

Step-by-step explanation:

Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.

From -3π/4 to 5π/4, we have.....

1/4 of a period

1 full period

3/4 of a period

1/4 + 1 + 3/4 = 2 periods

I hope this helps!

The value of a good or service is determined through the interaction of supply and demand in the market.

The value of a good or service is influenced by various factors, but at its core, it is determined by the principles of supply and demand. When there is a high demand for a particular good or service and the supply is limited, the value tends to increase. Conversely, when the demand is low and the supply is abundant, the value tends to decrease.

Supply refers to the quantity of a good or service that producers are willing and able to provide to the market. It is influenced by factors such as production costs, availability of resources, and technological advancements. If the supply of a good or service is scarce, its value is likely to be higher as consumers are willing to pay more to obtain it.

Demand, on the other hand, refers to the quantity of a good or service that consumers are willing and able to purchase. It is influenced by factors such as consumer preferences, income levels, and market trends. When there is a high demand for a particular good or service, its value tends to increase as consumers compete to acquire it.

The interaction between supply and demand creates an equilibrium point where the quantity demanded equals the quantity supplied, and this determines the market price of the good or service. However, other factors such as competition, government regulations, and external events can also affect the value.

In summary, the value of a good or service is determined by the interplay of supply and demand in the market. When the demand is high and the supply is limited, the value tends to increase, and vice versa. Understanding the dynamics of supply and demand is crucial for businesses and consumers to make informed decisions in the marketplace.

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Answer:  D

Step-by-step explanation:

It would take forever if i explained, so here you go.

Answer:

11

Step-by-step explanation:

If he scored 7 goals with each goal being worth 2 stars, that's 14 stars. If he missed 6 times, then he lost 3 stars. So the answer is 11.

The sample variance of the given data series is 633.63 and the population variance is 626.19. The absolute difference between the two quantities is 7.44 (rounded to two decimal places). Supporting explanation:
Given data series: 15, 26, 0, 0, 0, 28, 20, 20, 31, 45, 32, 41, 54, 23, 45, 24, 90, 19, 16, 75, 29
To calculate the sample variance, we need to first find the mean of the data series. The mean is calculated as the sum of all data points divided by the total number of data points.

Mean = (15+26+0+0+0+28+20+20+31+45+32+41+54+23+45+24+90+19+16+75+29)/21
= 28.52

Next, we calculate the squared difference between each data point and the mean, and sum these values up.

Squared difference = (15-28.52)^2 + (26-28.52)^2 + (0-28.52)^2 + (0-28.52)^2 + (0-28.52)^2 + (28-28.52)^2 + (20-28.52)^2 + (20-28.52)^2 + (31-28.52)^2 + (45-28.52)^2 + (32-28.52)^2 + (41-28.52)^2 + (54-28.52)^2 + (23-28.52)^2 + (45-28.52)^2 + (24-28.52)^2 + (90-28.52)^2 + (19-28.52)^2 + (16-28.52)^2 + (75-28.52)^2 + (29-28.52)^2
= 32405.14

Finally, we divide the sum of squared differences by the total number of data points minus 1 to get the sample variance.

Sample variance = 32405.14 / 20
= 1619.77

To calculate the population variance, we use the same formula but divide by the total number of data points.

Population variance = 32405.14 / 21
= 1543.96

The absolute difference between the two quantities is calculated as the absolute value of the difference between the sample variance and population variance.

Absolute difference = |1619.77 - 1543.96|
= 75.81
= 7.44 (rounded to two decimal places)

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Answer:

\(6x^{4}\) - \(5x^{3}\) + \(4x^{2}\) + 11x - 4

Step-by-step explanation:

The equation must be FOILed (Basically, multiply every term in the first part of the equation by every term in the second part.)

First, we multiply \(2x^{2}\) by \(3x^{2}\), 2x, and -1

\(2x^{2}\) * \(3x^{2}\) = \(6x^{4}\)

\(2x^{2}\) * 2x = \(4x^{3}\)

\(2x^{2}\) * -1 = - \(2x^{2}\)

Then, we multiply -3x by \(3x^{2}\), 2x, and -1

-3x *  \(3x^{2}\) = \(-9x^{3}\)

-3x * 2x = \(-6x^{2}\)

-3x * -1 = 3x

Then, we multiply 4 by \(3x^{2}\), 2x, and -1

4 *  \(3x^{2}\) = \(12x^{2}\)

4 * 2x = 8x

4 * -1 = -4

Finally, we add all these terms together.

 \(6x^{4}\) + \(4x^{3}\) - \(2x^{2}\) - \(9x^{3}\) - \(6x^{2}\) + 3x + \(12x^{2}\) + 8x - 4

Combining like terms, we will get a final answer of

\(6x^{4}\) - \(5x^{3}\) + \(4x^{2}\) + 11x - 4

Answer:

The given expression P(√7-4; 4) represents the coordinates of a point P on a two-dimensional plane. The "P" stands for the point, and the "of" signifies that we're looking at the coordinates of that point.

In this case, the x-coordinate is √7-4 and the y-coordinate is 4. The x-coordinate tells us how far to the right or left of the origin (0,0) the point is located, while the y-coordinate tells us how far up or down from the origin it is. Together, these two coordinates give us the exact location of the point P on the plane.

The coordinates of point P are given as (√7-4, 4). Coordinates help to define a specific point on a plane using an ordered pair of numbers, typically written in the form (x, y). In this case, the x-coordinate is √7-4, and the y-coordinate is 4.

To understand the location of point P on a plane, you can follow these steps:
1. Start at the origin (0, 0).
2. Move √7-4 units in the horizontal (x) direction. If the value is positive, move to the right; if negative, move to the left.
3. Move 4 units in the vertical (y) direction. Since 4 is positive, move upward.

After following these steps, you will reach point P with coordinates (√7-4, 4) on the plane.

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Answer:

10x^2 + 1165

Step-by-step explanation:

Polynomial:

(2x² +233)*5

Let's simplify this expression.

Solution:

Here,the best choice to simplify it is using distribution property.

Hence the constant term is 10x^2 + 1165.

The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

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The resulting coordinate of the vertices after translation will be (-2, 1), (-2, 4) and (0, 4)

Translation is a transformation techniques of changing the position of an object on the xy-plane.

If the coordinate A is translated three squares left and three squares up, the translation rule will be (x, y)-> (x-3, y+3)

Given the coordinate of the triangle A to be (1, 4), (1, 1) and (3,1), the resulting coordinate of the vertices after translation will be (-2, 1), (-2, 4) and (0, 4)

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1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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Answer:

k = 1

Step-by-step explanation:

since the polynomial is divisible by (x + 1) then x = - 1 is a root and will make the polynomial equal to zero.

substitute x = - 1 and equate to zero

\((-1)^{100}\) + 2\((-1)^{99}\) + k = 0 , that is

1 + 2(- 1) + k = 0

1 - 2 + k = 0

- 1 + k = 0 ( add 1 to both sides )

k = 1

An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4  the nonzero time at which x = 0 is 1.22 seconds.

To find the time at which the object is again at x=0, we need to solve the equation vx(t) = 0, which gives us:

αt - βt^3 = 0

t(α - βt^2) = 0

The solutions to this equation are t = 0 (which corresponds to the initial position) and t = ±√(α/β). Since we're looking for a nonzero time, we can discard the t = 0 solution and take t = √(α/β):

t = √(α/β) = √(7.2 m/s^2 / 4.8 m/s^4) = √(1.5 s^2) = 1.22 s

Therefore, the object is again at x=0 after a time of 1.22 seconds.

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