in a recent year,21% of all college students were enrolled part-time. if 4.4 million college students were enrolled part-time that year, what was the total number of college students?round your answer to the nearest million.

Step-by-step explanation:

Desmos Graphing Calculator

Answer:

The equation would be if y is the numbers in the sequence (like 3, 9, 27) and x is the is the number in the order (like 3 is 1, 9 is 2, 81 is 4) the the equation would be y = 3^x.

Step-by-step explanation:

is there any answer choices

Answer:

2)vertical angles

3)alternate interior angles

Step-by-step explanation:

yeah thats all i got

The line p || r as, the alternate interior angle are equal.

The basic qualities listed below make it simple to identify parallel lines.

We have to prove that p || r

and, we have given <1 = <5

<4 = <1 by (Vertically Opposite Angle).

and, <4 = <5 (Transitive Property)

So, the line p || r as, the alternate interior angle are equal.

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Answer:

11, 16

Step-by-step explanation:

the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11

then 11 + 5 = 16

Answer:

11,16

Step-by-step explanation:

We are adding 5 each time

-9+5 = -4

-4+5 =1

To find the next two terms

6+5 =11

11+5 = 16

Answer:

the cost per liter of the paint is equal to 24 8/liter

Hope this helps :)

(a) \($\frac{\partial Q}{\partial x}\)\(-\)\(\frac{\partial P}{\partial y} = 0$\), and the line integral of \($F.dr$\) around any closed curve is zero.

(b) \($\oint_C F.dr = ab\int_{0}^{2\pi} (\cos^2 t - \sin^2 t)e^{b\sin t} dt$\)cannot evaluate the line integral of F.dr around the given closed curve using Green

(a) We want to use Green's theorem to evaluate the line integral of F.dr around the circle \($x^2 + y^2 = a^2$.\)

Green's theorem states that:

\($\oint_C F.dr = \iint_R (\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}) dA$\)

where \($F = P\hat{i} + Q\hat{j}$\) is a vector field,\($C$\) is a closed curve in the plane, and \($R$\) is the region bounded by\($C$\).

In this case, we have:

\($F = y\hat{i} - x\hat{j}$\)

\($P = 0$\)and\($Q = y$\)

\($\frac{\partial Q}{\partial x}\) = 0 and \($\frac{\partial P}{\partial y} = 0$\)

Therefore, \($\frac{\partial Q}{\partial x}\)\(-\)\(\frac{\partial P}{\partial y} = 0$\), and the line integral of \($F.dr$\) around any closed curve is zero.

(b) We want to use Green's theorem to evaluate the line integral of\($F.dr$\)around the closed curve C defined by\($x = a\cos t$, $y = b\sin t$, $0 \leq t \leq 2\pi$.\)

Green's theorem states that:

\($\oint_C F.dr = \iint_R (\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}) dA$\)

where \($F = P\hat{i} + Q\hat{j}$\) is a vector field, C is a closed curve in the plane, and R is the region bounded by C.

In this case, we have:

\($F = xe^{y}\hat{i} + (ye^{y} + e^{y})\hat{j}$\)

\($P = xe^{y}$\)and \($Q = ye^{y} + e^{y}$\)

\($\frac{\partial Q}{\partial x}\)= 0 and \($\frac{\partial P}{\partial y} = xe^{y} + e^{y}$\)

Therefore,

\($\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} = -xe^{y}$\)

The region R enclosed by C is an ellipse with semi-axes a and b, and its area is given by\($A = \pi ab$\). Using polar coordinates, we have:

\($x = a\cos t$\)

\($y = b\sin t$\)

\($\frac{\partial x}{\partial t} = -a\sin t$\)

\($\frac{\partial y}{\partial t} = b\cos t$\)

\($dA = \frac{\partial x}{\partial t} \frac{\partial y}{\partial t} dt = -ab\sin t \cos t dt$\)

Thus, we have:

\($\oint_C F.dr = \iint_R (\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}) dA = \int_{0}^{2\pi} \int_{0}^{ab} (-xe^{y}) (-ab\sin t \cos t) drdt$\)

\($= ab\int_{0}^{2\pi} (\cos^2 t - \sin^2 t)e^{b\sin t} dt$\)

This integral does not have a closed-form solution, so we need to use numerical methods to approximate its value.

Therefore, we cannot evaluate the line integral of F.dr around the given closed curve using Green

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Using proportions, it is found that his DAILY RATE on that particular day is of Php 2,420 .

The rule of three is:

8 hours - Php 1420

14 hours - x

Applying cross multiplication:

\(8x = 1420 \times 14\)

\(x = \frac{1420 \times 14}{8}\)

\(x = 2485\)

The closest option is Php 2,420.

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The correct answer is B. created in an iterative and incremental manner.

Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.

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Answer:

1. Not proportional 2. is proportional. For 3, 4, 5, and 6 just plot them.

Step-by-step explanation:

For 1, y intercept/x intercept is not 0 when you graph, thus not proportional. Number 2 is, thus proportional. For 3, 4, 5, and 6 you would plot them accordingly. So for (-5, -2) Start as 0,0 and go 5 to the left as it's negative, and 2 down as it is also negative. Do the same for others.

\(\textsf{Hi Brainy User, I'm Here to Help you!}\)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\textsf{Parallel lines have the same slope, thus:}\)

\(.\qquad\bullet\sf{Slope\:of\:the\:line\:that's\:parallel\:to\:the\:given\:line: \dfrac{1}{3}}\)

\(\textsf{Next, we'll apply the \textbf{Point-Slope Formula:}}\)

\(.\qquad\bullet\sf{y-y_1=m(x-x_1)}\)

\(\textbf{\underline{Setting the values:}}\)

\(.\qquad\bullet\sf{y_1=2}\\.\qquad\bullet m=1/3\\.\qquad\bullet x_1=6}}\)

\(\textbf{\underline{Plugging in the values:}}\)

\(.\qquad\bullet\sf{y-2=\dfrac{1}{3} (x-6)}\\\\.\qquad\bullet y-2=\dfrac{1}{3}x-2}\\\\.\qquad\bullet y=\dfrac{1}{3} x}\)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\large\overbrace{\underbrace{\textsf{\textbf{Reflection - RoSe}}}}^\star_\star\)

To evaluate the integral using a parametric description of the circle, we can parameterize the circle using trigonometric functions.

Let's denote the circle as C, with radius r centered at the origin. We can describe the circle using the parameter θ, which represents the angle in the counterclockwise direction from the positive x-axis to a point on the circle.

The parametric equations for the circle C are:

x = rcos(θ)

y = rsin(θ)

By substituting these parametric equations into the integral, we can set up the integral over the circle C. The integral could involve a function f(x, y) that needs to be evaluated over the circle C. The integral can be written as:

∫∫f(x, y) dA

where dA represents the area element. To evaluate this integral, we need to express dA in terms of the parameter θ and compute the limits of integration based on the range of θ that corresponds to the circle C.

The explanation paragraph would then provide more details on how to set up the integral, determine the limits of integration for θ, and compute the area element dA in terms of θ. It would also mention that depending on the specific function f(x, y) and the desired computation, additional techniques such as changing variables or using appropriate coordinate transformations may be required to evaluate the integral over the circle C.

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Answer:

Cost per egg = 8.4/12 = 0.7

Cost per hundred egg =Rs70

Let selecting price per hundred be Rs.y

⇒ 70/y-70 ×100 = 15

⇒ 10y−700 = 105

Answer:

1) 13 ft.

2) 23.3 m (when rounded to 1 dp)

Step-by-step explanation:

The Pythagorean theorem states that \(a^2+b^2=c^2\) when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

1) Question 1

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

\(a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2\)

Take the square root of both sides

\(\sqrt{169}=\sqrt{c^2} \\13=c\)

Therefore, the length of the ladder is 13 ft.

2) Question 2

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

\(20^2+12^2=c^2\\400+144=c^2\\544=c^2\)

Take the square root of both sides

\(\sqrt{544}=\sqrt{c^2} \\23.3=c\)

Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.

I hope this helps!

Answer:

Step-by-step explanation:

Using Pythagorean therom ( A aquared + b Squared = c Squared) the answer to the first one is (12 x 12)+( 5 X 5 ) = 169 ft  ( i think)

second one hard srry i not smort forgot how to do person above me correct

Answer:

600ft²

Step-by-step explanation:

Oh boy, this is gonna be a long one, so proceed with caution:

So we're gonna start with the one to the very left, we can split this into three different rectangles:

So we got the length of the bottom minus the length we don't want there because we're doing the big rectangle:

35 - 10 = 25

25 x 20 = 500

So we're just gonna keep that on a back burner, cause now we gotta do the two smaller ones:

So we got the measure from the one side, but we gotta subtract the 10 from the other side:

20 - 10 = 10

10 x 10 = 100

Now we gotta add that all up:

500 + 100 = 600

So the area of the first shape is 600ft²

I gotta go, but hope this helps a little bit

The probability that the mean weight of the sample babies would be less than 4068 grams is 0.8666.

We have mean weight as 4022grams,and standard deviation as 266 grams.

We need to check mean weight of the sample will be less than 4068 grams.

It means that on left side mean range is=4022-4068=-46,and

right side mean range =4022+4068=8090

So, we need to find the probability if mean range varies in between from -46 to 8090.

So, we use z-score table to find the z-score for -46 and 8090,we get

We use Z-formula which is given by

Z = (X-μ)/SE

where X is the standard mean.

Using the Z-score table, we get

Z = 0.16917 and -0.161917

Using z-score table, we get that P(0.16917)=0.4333.

Since, both of the probability occupies same space area, due to that total probability =0.4333×2=0.8666

Hence, the probability will be 0.8666.

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The given expression is

Replacing the given values, we have

The average rate of change of g(x) over the interval [-3, 3] is 2.

For a function f(x), we define the rate of change over an interval (a, b) as:

(f(b) - f(a))/(b - a)

Here we have the interval [-3, 3] and the function:

g(x) = x^2 + 2x + 8

Then the average rate of change over that interval will be:

[ g(3) - g(-3)]/(3 - (-3))

The values in the denominator are:

g(3) = 3^2 + 2*3 + 8 = 9 + 6 + 8  =23

g(-3) = (-3)^2 + 2*-3 + 8 = 9 - 6 + 8 = 11

Replacing that we get:

[23 - 11]/(3 + 3) = 12/6 = 2

The average rate of change over that interval is 2.

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Answer: .81

Step-by-step explanation: divide 9 and 11

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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The odds against Bucks not winning the race are 2:3, so the probability of Bucks not winning is 0.4 or 40%. This means that for every 10 races, Bucks not is expected to win 4 times, while losing 6 times.

In the given scenario, the odds against the horse Bucks not winning the race are 2:3. To calculate the probability that Bucks not will win the race, we can use the following formula: Probability of an event happening = Number of ways an event can happen / Total number of possible outcomes. In this formula, we can consider the total number of outcomes to be 2 + 3, since these are the only possible outcomes in this situation (either the horse wins or it doesn't). Therefore, the total number of possible outcomes is 5. We can also infer from the given information that the number of ways Bucks not can win is 2. Therefore, the probability of Bucks not winning the race is: Probability of Bucks not winning = Number of ways Bucks not can win / Total number of possible outcomes= 2 / 5= 0.4 or 40%Therefore, the probability that Bucks not will win the race is 0.4 or 40%. This means that for every 10 races, Bucks not is expected to win 4 times, while losing 6 times.

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The reflexive closure of a relation on a set is the smallest reflexive relation that contains the original relation. In other words, it is the addition of pairs that ensure every element in the set is related to itself. To form the reflexive closure, we need to add pairs that relate each element in the set to itself.

To form the reflexive closure of relation r on the set {0, 1, 2, 3}, we need to add ordered pairs that ensure every element in the set is related to itself. In other words, we need to add pairs of the form (x, x) for each element x in the set that is not already present in relation r.

In this case, the reflexive closure of relation r would require adding the following ordered pairs: (0, 0), (1, 1), (2, 2), and (3, 3). These pairs ensure that every element in the set {0, 1, 2, 3} is related to itself, making the relation reflexive. These pairs ensure that every element is related to itself, satisfying the reflexivity property.

By adding these additional ordered pairs, we have modified relation r to include reflexivity, as every element now has a direct relation to itself in the set.

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Answer:

D

Step-by-step explanation:

Given that

f(x)=-2x – 1

g(x) = -1/2x+1/2

I The function f( g(x)) = x for all real x.

-2(-1/2X + 1/2) - 1

X - 1 - 1

X - 2

II. The function glAx)) = x for all real x.

- 1/2( -2X - 1 ) + 1/2

X + 1/2 + 1/2

X + 1

III. Functions fand g are inverse functions

Inverse of f(x)

Y = -2x - 1

X = - 2Y - 1

- 2Y = X + 1

Y = - 1/2X - 1/2

Therefore, none of the above answers is correct.

The correct answer is therefore D

Answer:

The correct answer is D. None of these statements are true.

Step-by-step explanation:

I got it right on the Plato test.

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\(tu - t - u = (43 \times 12) - 43 - 12 = \\ \)

\(516 - 55 = 461\)

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Answer:

516 - 43 - 12 = 461

Step-by-step explanation:

tu is 43 x 12 = 516

t = 43

u = 12

so

          516 - 43 = 473

          473 - 12 = 461

the final answer is

461

A quadratic equation's graph is referred to as a parabola in mathematics. Y = a(x - p)(x - q), where p and q are the parabola's x-intercepts, or the x-values at which the parabola crosses the x-axis.

It is the factored form of a parabola, also known as the intercept form of a parabola. We can locate the function's x-intercepts or zeros with the use of factored form.

It is referred to as being in factored form when a quadratic expression is represented as the sum of two linear factors plus a constant. To establish if a graph reflects a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point.

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'dz' because d and z are different values.

Answer:

t-t

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

246=2*3*41

If n=2 then 123=3*41 is not a multiple of n

FALSE

Answer:

Step-by-step explanation:

We can get 6 different outcomes when rolling a die:

The number on the dice, less than 2 is  1 and the the number on the dice greater than 4 are 5 and 6.

So the number of favorable outcomes is 3 (they are 1, 5, 6).

The probability is: