to convert measurements in the metric system you can move the decimal point left or right why does this work?​

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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The functions that have end behavior lim x -> ∞ f(x) = -∞ is

y= x, y= x³ and y= 1/ (1+ \(e^{-x\)).

Here the function obey the rule as

lim x -> ∞ f(x) = -∞

So, the function

f(x) = y

lim x -> ∞ y = -∞

First, y= x

x = - ∞

y =  = - ∞ which is True

Second, y= x³

x - > -∞

y= (-∞)³ = -∞

y = -∞ which is True

Third, y= 1/ (1+ \(e^{-x\))

x - > -∞

y = -∞ which is True

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Answer:

The second one

Subtract 1 from both sides

Answer:

subtract 1 to both sides

Step-by-step explanation:

11x+1=67

    -1   -1

11x=66

/11   /11

x=6

The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have an equation that represents the circle:

4x² + 8x + 4y² + 32y +52 = 0

Divide by 4 on both the sides:

x² + 2x + y² + 8y + 13 = 0

x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0

x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13

(x + 1)² + (y + 4)² = 4

(x + 1)² + (y + 4)² = 2²

Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

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Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

Answer: 20% of 150 is 30

Step-by-step explanation:

7 Days It will take a week aka 7 days

Answer: 4/5 or 0.8

Step-by-step explanation:

\(1\frac{1}{4}\) * \(\frac{4}{5}\) = \(\frac{1}{1}\) = 1

\(1\frac{1}{4}\) is also equal to 1.25.

1.25 * 0.8 = 1

Answer:

4/5

Step-by-step explanation:

because 4 is half of a half two fourths are a half and 4/4 are 1 whole

Answer:

B.The families included in the sample should represent the families in the population.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Just cuz

To estimate the stationary baseline random yield, we need to consider the average yield of the die on the wafer, which is 60%. We also need to consider the number of die per wafer, which is 400.

The stationary baseline random yield can be calculated by multiplying the average yield of the die by the number of die per wafer. This gives us a stationary baseline random yield of 400 * 0.6 = 240 die.

The systematic mechanisms limited yield is the maximum yield that can be achieved when all the systematic mechanisms are addressed. In this case, the best yield observed was 82% at two die sites. Since this yield occurs at only two die sites, we can estimate the systematic mechanisms limited yield by multiplying the number of die per wafer by this yield. This gives us a systematic mechanisms limited yield of 400 * 0.82 = 328 die.

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It will take the acrobat 1/4 of a second to land safely on the net.

Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Answer:

30/1 is the answer kdkdkdkddn

1) given

2) base angles theorem

3) PN=QN

4) \(\angle 3=\angle 4\)

5) MP=OQ

7) PQ, QP

8) MQ=PO

9) ASA

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393

Answer:
x + Y = 54
y - x = 7

Step-by-step explanation:

There are 54 cars and SUVs in all. So, the sum of SUVs and cars is 54. There are 7 more SUVs than cars, so the number of SUVs (y) minus cars (x) is 7.

Answer:

B, C, D

Step-by-step explanation:

-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.

B.

6 - (-2)

6 + 2 = 8

C.

| -2| = 2

6+2 = 8

D.

|-2+6|

2+6 = 8

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

Answer:

In terms of Pi: \(3\pi + 6\) km

Exact value (rounded): 15.42477 km

Approximated (3.14): 15.42 km

Step-by-step explanation:

Hello!

A semicircle's perimeter can be found using the formula: \(P = \pi r + 2r\)

We can plug in the values to solve for the perimeter.

In terms of Pi, it is \(3\pi + 6\),

Exact value of Pi, it is 15.42477

Approximation of Pi (3.14), it is = 15.42

Answer:

The linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

Step-by-step explanation:

Let 'b' represents the numbers of cakes David bakes in minutes.

Let 'a' represents the time David takes to make 12 cakes

As Dave bakes 12 cakes in 3 minutes.

unit rate = 12/3 = 4 cakes / per minute

Thus, the linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

VERIFICATION

if a = 3 minuts

then

b = 4(3) = 12 cakes

and

if a = 2 minutes

then

b = 4(2) = 8 cakes

and

if a = 1 minute

then

b = 4(1) = 4 cakes

Thus, the required equation is:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

Answer:

A. 25.7°

Step-by-step explanation:

the sum of straight angle is 180°.

so, i subtract 154.3 from 180.

i get 25.7 °

Given f(x) = ln(x)

To find P, we need to evaluate the sum of f'(0) + f'(3) + f'(6) + ... + f'(2019).

We know that the derivative of ln(x) is 1/x, so we can write:

f'(x) = 1/x

To find f'(0), we need to use the limit definition of the derivative:

f'(0) = lim (h → 0) [ ln(h) - ln(0) ] / h

Since ln(0) is undefined, we can rewrite this expression as:

f'(0) = lim (h → 0) [ ln(h) ] / h

Using L'Hôpital's rule, we can differentiate the numerator and denominator separately:

f'(0) = lim (h → 0) [ 1/h ] / 1

f'(0) = lim (h → 0) [ 1/h ] = ∞

Note that f'(0) is undefined, since ln(0) is undefined, but the limit approaches infinity.

Similarly, we can find f'(3), f'(6), and so on:

f'(3) = 1/3

f'(6) = 1/6

...

f'(2019) = 1/2019

Now we can substitute these values into the sum:

P = f'(0) + f'(3) + f'(6) + ... + f'(2019)

P = ∞ + 1/3 + 1/6 + ... + 1/2019

The sum on the right-hand side is a finite sum of the form:

1/3 + 1/6 + ... + 1/2019 = ∑(1/3n) where n goes from 1 to 673

This is a telescoping sum, meaning that the terms cancel each other out:

∑(1/3n) = (1/3) + (1/6 + 1/9) + (1/12 + 1/15 + 1/18) + ... + (1/2016 + 1/2019)

= (1/3) + (1/3) + (1/3) + ... + (1/3)

= 673/3

Therefore, we have:

P = ∞ + 673/3

Since f'(0) is undefined, P is also undefined.

Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.