At a school 159 students play at least one sport this is 60% of the students how many students are at the school !I need it fasttt!

Answer:

(5,4)

Step-by-step explanation:

10x + 20y = 130

x + y = 9

you can solve by substitution

x = 9 - y

10 (9 - y) + 20y = 130

90 - 10y + 20y = 130

90 + 10y = 130 (subtract 90 from both sides)

10y = 40

y = 4

Plug the answer back in the original equations to solve for x

x + 4 = 9 (subtract 4 from both sides)

x = 5

The number of activities that cost $10 is 4.

The number of activities that cost $20 is 5.

10a + 20b = 130 equation 1

a + b = 9 equation 2

Where:

Multiply equation 2 by 10

10a + 10b = 90 equation 3

Subtract equation 3 from equation 2

$10b = $40

b = $40 / $10

b = 4

Subtract 4 from 9: 9 - 4 = 5

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A relation 'f' is referred to as a function if each element of a non-empty set X has just one image or range to a non-empty set Y. Here the function is not a simple power function.

Each function and the requested variable are:

y = 5x³

In this function, k = 5 and p = 3.

y = -2\(x^{-1/2}\)

In this function, k = -2 and p = -1/2.

y = 2

This function is a constant function and not a power function. Therefore, neither k nor p can be identified.

y = 4\(\sqrt{x}\)

In this function, k = 4 and p = 1/2.

y = 7/x²

In this function, k = 7 and p = -2.

y = \(3x^4 + 2x^3 - 5x^2 + 6\)

This function is not a simple power function. Therefore, neither k nor p can be identified.

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Answer:  I believe the standard deviation will remain the same, 6, choice A.

Step-by-step explanation:  Standard deviation is calkculated based on the difference of each point from the mean.  If 10 were added to each score, the mean would also increase by 10.  That would mean that the difference between the mean and each score would be exactly the same, leading to an identical standard deviation.  Sounds crazy, but that's what numbers do for a living.

Answer:

A

Step-by-step explanation:

a)

\((8(3)^{2} / 9) * 7\)

8(9) / 9 = 8 x 7 = 56

b)

\(2(3)^{2} * 3 - 4(3)\)

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

c)

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

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

d)

\(7(3) + (3 * 8)\)

21 + 24 = 45

The minimum value of the objective function is F(4,2) = 50, which occurs at the point (4, 2).

The objective function F(a,b) = 7a + 18b needs to be minimized, subject to the constraints:a ≥ 0,b ≥ 0,4a + 6b ≥ 24,and 2a + 5b ≥ 16.To start the optimization, we'll first plot these constraints and the region they generate.

The feasible region formed by the given constraints is a quadrilateral with vertices at(0, 0),(0, 4),(4, 2), and(8, 0).

The feasible region is shown below:Now, we'll find the vertices of the feasible region and test them in the objective function to determine which point produces the minimum value.

The vertices of the feasible region are:(0, 0),(0, 4),(4, 2), and(8, 0).For the first vertex (0, 0), the value of the objective function is:F(0, 0) = 7(0) + 18(0) = 0For the second vertex (0, 4),

the value of the objective function is:

F(0, 4) = 7(0) + 18(4) = 72For the third vertex (4, 2),

the value of the objective function is:F(4, 2) = 7(4) + 18(2) = 50

For the fourth vertex (8, 0), the value of the objective function is:F(8, 0) = 7(8) + 18(0) = 56

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5)

we need first to calculate the radius of the circumference, this is the distance between the center to any point of the circumference, then the radius will be:

then the circumference equation is:

a) the function y=x^2 + c/x^2 is a solution of the differential equation xy' + 2y = 4x^2, (x > 0).

b) The value of c for which the solution satisfies the initial condition y(8) = 6 is c = -3712.

a) To verify that the function y = x^2 + c/x^2 is a solution of the differential equation xy' + 2y = 4x^2, we first need to find the derivative y' using algebra:
y = x^2 + c/x^2
y' = 2x - 2c/x^3

Now, plugging y and y' into the given differential equation:

x(2x - 2c/x^3) + 2(x^2 + c/x^2) = 4x^2

Next, simplify the equation:
2x^2 - 2cx^(-2) + 2x^2 + 2c/x^2 = 4x^2

Combine the like terms:
4x^2 = 4x^2

The equation holds true, so the function y = x^2 + c/x^2 is a solution of the differential equation xy' + 2y = 4x^2.

b) To find the value of c for which the solution satisfies the initial condition y(8) = 6, plug in x = 8 and y = 6 into the function y = x^2 + c/x^2:

6 = (8^2) + c/(8^2)

Solve for c:
6 - 64 = c/64
-58 = c/64
c = -58 * 64
So, the value of c is -3712.

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Answer:

14

Step-by-step explanation:

17 - 4 + 1 = 13 + 1 = 14

Answer:

Step-by-step explanation:

D = distance

\(x_{1}\) = 4

\(x_{2}\) = 17

No "y" values were given.

The distance formula:

\(D=\sqrt{(x_{1} - x_{2} )^{2} +(y_{1} - y_{2} )^{2}}\)

If we insert in the values:

\(D = \sqrt{ (4 - 17)^{2} + (0 - 0)^{2}}\)

(0-0)^2 = 0 so we can just remove the last part since it's +0:

\(D = \sqrt{(4 - 17)^{2}}\)

4 - 17 is equal to -13:

\(D = \sqrt{(-13)^{2}}\)

Since \((-a)^{2} = (a)^{2}\), that means that the negative 13 becomes positive

\(D = \sqrt{(13)^{2}}\)

Now the square root and the square cancels each other out:

\(D = 13\)

Hope I could help you understand (●'◡'●)

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We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.

This means you need to draw the segment with endpoints (9,1) and (2,3).

The number of sides that a polygon have if inscribed and circumscribed circles is equal to 1/2 is 3.

The ratio of the radius of the inscribed circle to the radius of the circumscribed circle of a polygon is known as the inradius-to-circumradius ratio. For a regular polygon, this ratio is related to the number of sides by the following formula:

inradius-to-circumradius ratio = (sin(pi/n))/(1+sin(pi/n))

where n is the number of sides of the polygon.

If the inradius-to-circumradius ratio is 1/2, then we can solve for n:

1/2 = (sin(pi/n))/(1+sin(pi/n))

Multiplying both sides by (1+sin(pi/n)), we get:

l

1/2 + (sin(pi/n))/2 = sin(pi/n)

Multiplying both sides by 2, we get:

1 + sin(pi/n) = 2sin(pi/n)

Subtracting sin(pi/n) from both sides, we get:

1 = sin(pi/n)

This equation holds true only for n = 3, which corresponds to a regular triangle. Therefore, the polygon with an inradius-to-circumradius ratio of 1/2 is a regular triangle with three sides.

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The rectangle's measurements are 13.2 feet wide by 19.2 feet long, giving it a total area of 253 square feet.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Here,

length of rectangle=l

width=w

l=w+6

area=l*w

253=(w+6)*w

w²+6w-253=0

w=13.2 feet

l=19.2 feet

The dimensions for the rectangle that have area as 253 sq-feet will be 13.2 feet as width and 19.2 feet as length.

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Answer:

x = -9

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

Subtract 4 from 40 and combine like terms.

-4x = 36

Divide 36 by -4.

x = -9

The car doesn't depreciate for 25 years.

Given;

The straight-line depreciation equation for a luxury car is,

y = −3,400x + 85,000 → (I)

How many years will it take for the car to depreciate?

To find the solution for a given case, from (I);

Let y = 0,

0 = -3400x + 85000

3400x = 85000

x = 85000/3400

x = 25

Hence, it takes 25 years for the car to depreciate.

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Answer:

The ∠B is 60*

Step-by-step explanation:

If the resistance is 0.1 ohm, the impressed voltage is e(t) = 5, and i(0) = 0. The current i(t) is 50t.

The equation of the circuit is given as;v = L di/dt + R iThe initial current is zero, and the capacitor has no charge. As a result, the total voltage is equal to the impressed voltage.

e(t) = L di/dt + R i

Differentiate both sides with respect to time.

t(e(t)) = d(L di/dt)/dt + d(R i)/dt

t(e(t)) = L d²i/dt² + R di/dt + i(dR/dt)

Substituting the given values,R = 0.1, L = 0.02

Therefore;e(t) = 0.02(d²i/dt²) + 0.1(di/dt)

The equation is a second-order linear homogeneous differential equation. The auxiliary equation is given by;0.02m² + 0.1m = 0m(0.02m + 0.1) = 0m = 0 or -5

Taking m = 0;

Let i(t) = A + Bt

Substituting in equation (1);

e(t) = 0.02(d²i/dt²) + 0.1(di/dt)0 = 0.02d²i/dt² + 0.1di/dt

Substituting i(t) = A + Bt0 = 0.02B0 + 0.1A5 = 0.1B0.1B = 5B = 50

Using the values of A and B, i(t) can be calculated as;i(t) = 50t

Hence, the current i(t) is 50t.

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Answer:

Quotient Rule

Step-by-step explanation:

Your dividing so its quotient. Product is multiplication.

The confidence level of the CI is 95%.

The formula for the confidence interval of a normal distribution is

CI = X ± Zα/2 × σ/√n

Where

CI is the confidence interval

X is the sample mean

Zα/2 is the Z-score corresponding to the desired confidence level α/2

σ is the population standard deviation

n is the sample size

We know that the width of the confidence interval is 3.4, so

3.4 = 2 × Zα/2 × σ/√n

We also know that σ = √22 = 4.69, X = 25, and n = 15. Plugging these values into the equation and solving for Zα/2

3.4 = 2 × Zα/2 × 4.69/√15

Zα/2 = 1.96

The Z-score corresponding to a 95% confidence level is 1.96. Therefore, the confidence level of the CI is 95%.

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Step-by-step explanation:

with the y= 4x +1

they find the first column by replacing x in the function by 0

meaning if x= 0 then y=4(0) + 1 so y=1

for the second column if x =2 then y= 4(2) +1 so y= 9

for the 3rd one if x =4 then y = 4(4)+1 so y = 17

Answer:

82

Step-by-step explanation:

78+4

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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Both figures meet the conditions of Cavalieri's Principle because the height of both figures is the same with a value of 16 cm.

Cavalieri's Principle is a geometric principle, which states that if two three-dimensional objects have the same height and their cross-sectional areas are equal at every level, then the two objects have the same volume.

In other words, if two solids have the same height and the same cross-sectional area at every level parallel to the base, then they have the same volume. This principle can be applied to various geometric shapes, such as cylinders, cones, pyramids, cubs and spheres.

The height of figure is 16 cm and the height of figure 2 is 16 cm, so we can conclude that the two figures meet the conditions of Cavalieri's Principle.

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The both are exponential functions from the fact that the both are raised to a give power. The constant  and rate of both functions are different.

A function is a block of code that performs a specific task. In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

We can see that the two functions that we here are all such that we can be able to see that they are exponential in nature as shown in the image that depicts the question that has been asked.

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-1.1 is the required production rate of the soyabean after taking both the conditions as specified.

Consider a function f(x, y) that depends on the two variables x and y, x and y being independent of one another. The function f is said to be somewhat dependent on x and y at that point. The derivative of f is now known as the partial derivative of f if we calculate its derivative. Take y as a constant if we differentiate the function f with respect to x, and vice versa if we differentiate f with respect to y.

S = S ( R, T ) ;

T = T (t)

R = R (t)

Hence,

\(\frac{dS}{dt}\) = \(\frac{δS}{δR}\) \(\frac{dR}{dt}\)  +  \(\frac{δS}{δT}\) \(\frac{dT}{dt}\)  ............................(1)

Hence,

\(\frac{δS}{δT}\) = -2                                \(\frac{δS}{δR}\) = 8

\(\frac{dR}{dt}\) = - 0.1                     \(\frac{dT}{dt}\)= 0.15

Therefore from (1)

\(\frac{dS}{dt}\) = -8 * (0.1) + (-2)* (0.15)

\(\frac{δS}{δT}\)= -0.8 - 0.3

\(\frac{dS}{dt}\) = -1.1

Hence , we get all the required values.

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The formula\($\pi r^2$\) represents the area of a circle, where "r" is the radius of the circle and "\($\pi$\)" is a mathematical constant approximately equal to 3.14159.

The formula\($\pi r^2$\) represents the area of a circle, where "r" is the radius of the circle and "\($\pi$\)" is a mathematical constant approximately equal to 3.14159.

By using this formula, we can find the area of a circle given its radius. This is useful in many real-world applications, such as calculating the amount of space a circular object takes up, such as a circular table, a circular rug or a circular garden bed.

We can also use this formula to compare the areas of different circles. For example, if we have two circles with radii \($r_1$\) and \($r_2$\), we can find their areas using the formula \($\pi r_1^2$\) and \($\pi r_2^2$\) respectively, and compare them to see which circle has a larger area.

It is important to note that the formula only gives us the area of a circle, and not its circumference or diameter. For those, we would need to use other formulas, such as\($C = 2\pi r$\) for the circumference and D = 2r for the diameter.

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Answer:

34

Step-by-step explanation:

hope this helps :)

Answer:

34

Step-by-step explanation:

First, plug in numbers and then solve...

Answer:

See below, please.

Step-by-step explanation:

\(45 \div ( \frac{3}{4} ) = 60\)

Hence, the number is 60.

Answer:

60

Step-by-step explanation:

¾ of X is 45

what is X!???

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Data:

Initial balance: c

intrest rate: r

time (months)=m

growth: b

c=$100

r=7%=0.07

To an exponential function you have the next general form:

In this case

y=b(m)

C=c

r=r

t=m

Answer:

(2,-1)

Step-by-step explanation:

It'd be moved into the 4th quadrant, which is +-

Answer:

It should be ( -1, 2) because it is rotated about -90 degrees.

Step-by-step explanation:

Brainliest Please

Answer:

y-intercept= 12.99      slope= 15.00x+12.99

Step-by-step explanation:

87.99-42.99= 45.00

45.00/3=15

$15 an hour

42.99-(15)(2)

42.99-30.00

12.99