The directrix of the parabola -40x= y2 is:
y=-10
x= 10
x=-10
y= 10

Answer:

y = 3x - 1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define equation

y - 3x = -1

Step 2: Find Slope-Intercept Form

And we have our final answer!

Answer:

900 L

Step-by-step explanation:

after 10 hours : 10*10=100 liters

1000-100=900 liter

is the answer I recived

My work is below:

Next after 10 hours (10*10=100 liters )

1000-100=900 liter

Hope this helps you learn what to do in similar probles

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Answer:

last 3 are right

Step-by-step explanation:

Answer:

Answer option 2, 3 and 4.

The prοbability that there will be fewer than 2 arrivals in a given minute \(P(X < 2) = e^{(-\lambda)} + \lambda * e^{(-\lambda)\)

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο determine the prοbability that there will be fewer than 2 arrivals in a given minute, we need tο knοw the arrival rate οr average number οf arrivals per minute. Withοut this infοrmatiοn, we cannοt calculate the exact prοbability.

Hοwever, we can make an assumptiοn οr use a hypοthetical scenariο fοr illustratiοn purpοses. Let's assume that the average number οf arrivals per minute is λ, where λ represents the rate parameter fοr a Pοissοn distributiοn. The Pοissοn distributiοn is cοmmοnly used tο mοdel the number οf events οccurring in a fixed interval οf time when the events happen independently and at a cοnstant average rate.

The prοbability οf having fewer than 2 arrivals in a given minute can be calculated as the sum οf the prοbabilities οf having 0 arrivals and having 1 arrival.

P(X < 2) = P(X = 0) + P(X = 1)

In a Poisson distribution, the probability of having x events occur is given by the formula:

\(P(X = x) = (e^{(-\lambda)} * \lambda ^x) / x\)

Using the assumption of λ, we can calculate the probability as:

P(X < 2) = P(X = 0) + P(X = 1) =\((e^{(-\lambda)} * \lambda^0) / 0! + (e^{(-\lambda)} * \lambda^1) / 1!\)

Simplifying further:

\(P(X < 2) = e^{(-\lambda)} + \lambda * e^{(-\lambda)\)

Please note that the value of λ is required to compute the probability accurately. Without knowing the specific value of λ, we cannot provide a numerical probability.

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Answer:

HELLO I am tried to solve your question and I found 2 answer

Step-by-step explanation:

firstly we need discriminant to find x values.

you know we use b²-4ac formule to find discriminant

and this value (-3)²-[4*√2*(-2√2)]=-7 this means X hasn't reel value. let's continue.. if we want to find x value we use disc. and [-b±√∆]/2a one x value is [3+√7i]/2√2. and other is [3-√7i]/2√2

Answer:

x=0.94280

Step-by-step explanation:

see the photos it will explain how I got the answer

The shopkeeper broke even with a profit/loss of $0 because the profit from selling the first 10 TVs offset the loss from selling the remaining 10 TVs, resulting in no overall profit or loss.

To determine whether the shopkeeper made a profit or took a loss, let's calculate the total cost and the total revenue from selling the televisions.

The shopkeeper bought 20 televisions at a rate of $1800 per TV, so the total cost of purchasing the televisions is:

Total Cost = 20 TVs * $1800/TV = $36,000

The shopkeeper sold the first 10 TVs at $1850 each, so the revenue from selling these 10 TVs is:

Revenue from first 10 TVs = 10 TVs * $1850/TV = $18,500

The remaining 10 TVs were sold at $1750 each, so the revenue from selling these 10 TVs is:

Revenue from remaining 10 TVs = 10 TVs * $1750/TV = $17,500

Total Revenue = Revenue from first 10 TVs + Revenue from remaining 10 TVs

Total Revenue = $18,500 + $17,500 = $36,000

To determine the profit or loss, we compare the total revenue with the total cost:

Profit/Loss = Total Revenue - Total Cost

Profit/Loss = $36,000 - $36,000

Profit/Loss = $0

In this case, the shopkeeper neither made a profit nor took a loss. They broke even with a profit/loss of $0.

Therefore, The reason for this is that the selling price of the first 10 TVs (at $1850 each) was higher than the purchasing price ($1800 each), resulting in a profit. However, the selling price of the remaining 10 TVs (at $1750 each) was lower than the purchasing price, resulting in a loss. The profit from selling the first 10 TVs balanced out the loss from selling the remaining 10 TVs, resulting in no net profit or loss overall.

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The volume of the solid created by rotating a triangular region about the x-axis with vertices (0,0), (0,r), and (h,0), where r > 0 and h > 0, can be calculated using the method of cylindrical shells. The resulting solid is a frustum of a right circular cone.

To find the volume, we divide the solid into infinitely thin cylindrical shells with height dx and radius y, where y represents the distance from the x-axis to a point on the triangle. The radius y can be expressed as a linear function of x using the equation of the line passing through the points (0,r) and (h,0). The equation of this line is\(y = (r/h)x + r\).

The volume of each cylindrical shell is given by\(V_shell = 2πxy*dx,\)where x ranges from 0 to h. Substituting the equation for y, we have \(V_shell = 2π[(r/h)x + r]x*dx\). Integrating \(V_shell\) with respect to x over the interval [0, h], we get the total volume \(V_total = ∫[0,h]2π[(r/h)x + r]x*dx.\)

Simplifying the integral, we have \(V_total = 2πr∫[0,h](x^2/h + x)dx + 2πr∫[0,h]x^2dx\). Evaluating these integrals, we obtain\(V_total = (1/3)πr(h^3 + 3h^2r)\). Therefore, the volume of the solid created by rotating the triangular region about the x-axis is given by \((1/3)πr(h^3 + 3h^2r)\), where r > 0 and h > 0.

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The probability that a randomly selected purchaser with an extended warranty has a basic model camera is approximately 0.0354

Denote S= Event that a purchase bought a basic camera, then P(S)=0.32

Denote D= Event that a purchase bought a deluxe camera, then

S and D are mutually exclusive.

P(D)=1-P(S)=0.68

P(W/S)=0.4

P(W/D)=4.9

We need to calculate the probability that a randomly selected purchaser who bought an extended warranty has a basic model. By notations, this is equivalent to finding P(S/W).

P(S/W)=P(W/S)*P(S)/P(W)

Since S and D are disjoint and P(S)+P(D)=1,

P(W)=P(W∩S)+P(W∩D)

P(W)=[0.4*0.32]+[4.9*0.68]

=3.61

Hence, our required probability is: P(S/W)=P(W/S)*P(S)/P(W)

\(=\frac{0.4*0.32}{3.61}\\=0.0354\)

Hence, the probability that a randomly selected purchaser with an extended warranty has a basic model camera is approximately 0.0354

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You have the following expression:

by simplifying the previous expression you obtain:

where you have taken into account to factorize the variables inside the root in a way you can simplify it.

The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is y = 3x + 2

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Line has slope, m = 3, a new parallel line of slope 3 passing through point  (-1, 3)

(y - y₁) = m  (x - x₁)

y - 3 = 3 (x - -1)

y = 3x + 1 + 3

y = 3x +  4

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Answer:

Jshshdhdhdhdhdheuuehe

Answer:

its in progress so tell ur teacher.

Step-by-step explanation:

Answer:

y=2x-2

Step-by-step explanation:

m= slope= rise/ run. 2/1=2

Y intercept is -2, so the linear equation equals y=2x-2

Answer:

x = 14.0902 (After rounding to the nearest ten-thousandth)

Step-by-step explanation:

Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:

Sin(69) = Opp/Hyp

Sin(69) = 14/x

0.9336 = 14/x

0.9336(x) = 14/x(x)

0.9336x = 14

0.9336x/0.9336 = 14/0.9936

x = 14.0902

The value of x is -0.004624

\(log_{3} (x)+log_{x} (3)=2.5\)

\(log_{3} (x)+\frac{log_{3} (3)}{log_{3} (x)} =2.5\)

Let z= \(log_{3} (x)\)

\(z+\frac{1}{z} = 2.5\)

\(3z^{2} + z-2.5z=0\)

z= -0.166

\(log_{3} (x)=-0.166\)

x = -0.004624

What is a log?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a set number, base b, must be increased in order to create a specific number x, is represented by the logarithm of that number. The logarithm, in its most basic form, counts the number of times the same factor appears when multiplied repeatedly; for instance, since 1000 = 10 x 10 x 10 = 103, its "logarithm base 10" is 3, or log10 (1000) = 3. When there is no possibility of a mistake or when the base is irrelevant, as, in big O notation, the logarithm of x to base b is written as loga (x), logb x, or even without the explicit base, log x.

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The parametric representation for torus is x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

Parametric equation are the set of equations that express a set of quantities as explicit function of the numbers of independent variables known as parameter

Parametric representation are generally non unique so that the quantities may be expressed by the number of different parameterizations

According to the question,

The torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b.

z = a sin a

y = |PQ| and x = |OP|

but , |OQ| = |OR| + |RQ| = b + a cos a

sin ∅ = |PQ| / |OQ|

So that , y = |OQ| sin ∅ = (b + a cos a ) sin ∅

Similarly ,

cos ∅ = |OP| / |OQ|

so that x =  (b + a cos a ) cos ∅

Hence , a parametric representation for a torus is

x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a

where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

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Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5

Answer:

\(\frac{12}{5}\)

Step-by-step explanation:

4/5x=3/10(x+4)  / · 10

8x=3(x+4)

8x=3x+12

8x-3x=12

5x=12  /:5

x=12/5

The constraint that is NOT valid is " \(y > = 5x + 30\) "

To determine the constraints, we analyze the given information. The farmer has a 500-acre farm, and she wants to optimize her planting strategy for wheat and corn. Each acre of wheat requires 1 person-day of labor and $20 in expenses, while each acre of corn requires 5 person-days of labor and $30 in expenses. The farmer has a budget of $11,400 and 1480 person-days of labor available.

To maximize profit, we consider the profit per acre for each crop, which is $90 for wheat and $120 for corn. Let x represent the acres of wheat and y represent the acres of corn.

The constraints are as follows:

By considering these constraints, the farmer can determine the optimal combination of wheat and corn planting to maximize profit while adhering to resource limitations.

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Answer:

C. 19 feet

Step-by-step explanation:

Circumference formula 2πr= 2π(3)= 18.85. Round up to 19 feet

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Answer: 5 is the answer

Step-by-step explanation:

3+8+9=15

15/3

5

Answer:

The numbers are 16 and 25

Answer:

4

Step-by-step explanation:

1 ÷ 0.25 = 4

Answer:

x=3

Step-by-step explanation:

3x-5x+25= 5x+4

-2x+25=5x+4

+2x.      +2x

25=7x+4

-4.      -4

21=7x

/7. /7

3=x

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Answer:

Step-by-step explanation:

3x - 5(x -5) = - 3 + 5x + 7

3x - 5x + 25 = 4 + 5x

3x - 5x -5x = 4 - 25

-7x = -21

x = -21 : (-7)

x = 3

Answer:

I believe it would be C if not then im sorry

Step-by-step explanation:

Answer:

127.5

Step-by-step explanation:

(153/6) x 5 = 127.5