if f(x) = g(x), then what does 7x - 12 = -3x + 10?​

Answer

what's the question?

Step-by-step explanation:

looks like your question is missing information

Answer:

5km

Step-by-step explanation:

15 km/ hr x 1 hr/ 60 min = 15/60 km/min = 5/20 km/min

5/20 km/min x 20 min=5 km

True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.

In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.

The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.

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↓Answer:

Step-by-step explanation:

It will be 504

Answer:

THE ANSWER IS B

Step-by-step explanation:

The measurement closest to the length of XY in units is 11.7 units (option J).

In the given coordinate grid, the length of XY can be determined by calculating the distance between the two points represented by X and Y. By measuring the grid lines, it becomes evident that the closest measurement to the length of XY is 11.7 units, which corresponds to option J.

To understand this further, we can break down the distance calculation using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) can be found using the equation:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, we are given the length of XY as 7.8 units, 16.0 units, 13.0 units, and 11.7 units as options. By substituting the coordinates of X and Y into the distance formula, it can be determined that the measurement closest to 7.8 units is 11.7 units, which makes option J the correct choice.

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Answer:

Step-by-step explanation:

that a huge prob but yah

Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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Answer:

A) x = 2

y = -28

B) x = 30

y = -4

C) x = -15

y = 11

D) x = 2

y = 46

Step-by-step explanation:

Hope this helps :D I'm in class so I can't explain rn I hope you understand the concept.

have a nice day

Answer:

Volume = 4  πr3 3=  4 ×π×43 3

=  268.08257310633 feet3

Step-by-step explanation: I really hope this helps please let me know if i am wrong hope u have a good day (:

The angles formed by the angle bisector BF are ∠FBA and ∠FBC.

The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.

Reasons:

The steps to draw an angle bisector are;

Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E

Place the compass at point D and draw an interior arc to the given angle

Place the compass at point E and draw a second interior arc intersecting the previous arc

The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection

Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector

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Answer:

Step three

Step-by-step explanation:

she placed the point on C when it was supposed to be on E

The availability of the web hosting service over the past 100 days is 99.5%.

The term availability means the degree to which a system like web hosting is in specified operable and committable state at the start of a mission.

We will find the downtime first.

Given that:

Hosting provider has been up 99% of the time, the downtime is:

= 100 days x (1 - 0.99)

= 1 day

The total time that the service should have been available is:

= 100 days x 24 hours/day

= 2400 hours

The availability as the ratio of uptime to total time is

= (2400 - 12) / 2400 x 100%

= 0.995 x 100%

= 99.5%.

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Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

Answer:

c

Step-by-step explanation:

Let Asia's and Rani's age be "x"

Since Asia is 10 years bigger Asia will be "x+10"

Asia's Age + Rani's Age = 200

x + x + 10 = 200

2x + 10 = 200

2x = 200 - 10

2x = 190

x = 190

     -----

       2

x = 95

Asia = x + 10

          95 + 10

          105

Rani's age is 95 and Asia's Age is 105

When the diameter is 9 cm, the rate at which the diameter decreases is  -0.071 cm/min.

The surface area of a sphere is given by the formula:

A = 4πr²,

where

r is the radius of the sphere.

Since the diameter is twice the radius, we have:

D = 2r,

where D is the diameter.

We can differentiate both sides of the equation with respect to time (t) to get the rate of change of the diameter:

dD/dt = 2(dr/dt)

Now, we are given that the surface area decreases at a rate of 4 cm^2/min, which means dA/dt = -4 cm²/min.

We need to find the rate at which the diameter decreases, so we need to solve for dr/dt.

First, express the surface area in terms of the diameter:

A = 4πr²

A = 4π(D/2)²

A = πD²

Now, differentiate both sides of the equation with respect to time:

dA/dt = d(πD²)/dt

-4 = 2πD(dD/dt)

Substituting the given value for dA/dt and the value for D when the diameter is 9 cm:

-4 = 2π(9)(dD/dt)

Now solve for dD/dt:

dD/dt = -4 / (2π(9))

dD/dt = -2 / (9π)

To find the numerical value, substitute π with its approximation, 3.14159:

dD/dt = -2 / (9 * 3.14159)

dD/dt = -0.071 cm/min

Therefore, when the diameter is 9 cm, the rate at which the diameter decreases is approximately -0.071 cm/min.

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so basically we just us do this

tan(26)=33/FE

Multiply to get rid of fraction

tan(26)FE=33

divide to get FE alone

FE = tan(26) * 33

FE=16.0951m

so it should be 16.0951m

The action that involves reducing the impact of a risk event by reducing the probability of its occurrence is called risk mitigation. This involves identifying potential risks that could impact a project, product or organization and taking proactive steps to reduce the likelihood of those risks occurring. Risk mitigation can involve a range of activities, such as implementing safety procedures, conducting regular inspections and maintenance, investing in new technology or tools, improving communication and collaboration, and providing ongoing training and education to employees.

By reducing the probability of a risk event occurring, organizations can minimize the potential impact of those events and avoid the costly consequences of downtime, lost productivity, reputational damage, legal liability, and other negative outcomes. Effective risk mitigation requires a comprehensive and proactive approach that involves ongoing monitoring and evaluation of potential risks, as well as continuous improvement efforts to address emerging threats and challenges. Overall, risk mitigation is a critical component of any successful risk management strategy and helps to ensure the long-term success and sustainability of an organization.

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The equation of the asymptote for function f(x) is y = 0.

The equation of the asymptote for function g(x) is x = a, where a is a constant.

The equation of the asymptote for function h(x) is y = mx + b, where m and b are constants.

For function f(x), the asymptote is y = 0 since the function approaches zero as x approaches positive or negative infinity.

For function g(x), the asymptote is a vertical line at x = a. This occurs when the function approaches a specific x-value but does not cross it.

For function h(x), the asymptote is a straight line represented by y = mx + b. This occurs when the function approaches a linear relationship as x approaches positive or negative infinity. The values of m and b depend on the slope and y-intercept of the asymptote, respectively.

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The circumstances in which the median rather than the mean is the preferred measure of central tendency is when there is a skewed distribution (a few extreme scores), an open-ended distribution or undetermined scores.

Central tendency is defined as the summative measure that tries to describe the entire set of data with a single value representing the mean or center of the distribution.

A skewed distribution occurs when one tail is longer than the other.

Therefore, in this type of distribution, the median should be chosen as the preferred measure of central tendency.

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The new length is 35+10=45 and the new width is 18+10=28.

To Find the Area of a rectangle is length times the width.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means the length is 35 feet and the width is 18 feet.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x2=1260

x2+53x+630-1260=0

x2+53x-630

Now we will apply the quadratic formula we get

x=10.

The new length is 35+10=45

The new width is 18+10=28.

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Answer:

4.24

Step-by-step explanation:

3.64 + 3/5

3.64 + 0.6 <--- 3/5 = 0.6 as a decimal

= 4.24 <--- Final answer

The solution to the equation is n = -2.

To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:

Step 1: Distribute the -5 on the right side:

30 = -5 * 6n - 5 * 6

Step 2: Simplify the right side:

30 = -30n - 30

Step 3: Move constant term to one side:

30 + 30 = -30n

Step 4: Combine like terms:

60 = -30n

Step 5: Divide both sides by -30 to isolate 'n':

n = 60 / -30

Step 6: Simplify the right side:

n = -2

The solution to the equation is n = -2.

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The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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Answer:

a

Step-by-step explanation:

For a two-dimensional potential flow, the potential is given by 1 r (x, y) = x (1 + arctan x² + (1+ y)², 2πT where the parameter A is a real number. Given potential function is;ϕ(x,y) = x(1 + arctan(x² + (1+y)²))/2πT

To find velocity components ux and uy, we need to take partial derivative of potential functionϕ(x,y) = x(1 + arctan(x² + (1+y)²))/2πTUsing the chain rule;    ∂ϕ/∂x = ∂ϕ/∂r * ∂r/∂x + ∂ϕ/∂θ * ∂θ/∂x                                                                                             = cosθ * (1/r) * x(1+arctan(x² + (1+y)²))/2πT           - sinθ * (1/r) * x(1+arctan(x² + (1+y)²))/2πT ∂ϕ/∂y = ∂ϕ/∂r * ∂r/∂y + ∂ϕ/∂θ * ∂θ/∂y                                                                                              = cosθ * (1/r) * x(1+arctan(x² + (1+y)²))/2πT           - sinθ * (1/r) * x(1+arctan(x² + (1+y)²))/2πTNow, replace cosθ and sinθ with x/r and y/r respectively∂ϕ/∂x = x/(x²+y²) * x(1+arctan(x² + (1+y)²))/2πT- y/(x²+y²) * x(1+arctan(x² + (1+y)²))/2πT= [x²-y²]/(x²+y²) * x(1+arctan(x² + (1+y)²))/2πT∂ϕ/∂y = y/(x²+y²) * x(1+arctan(x² + (1+y)²))/2πT + x/(x²+y²) * x(1+arctan(x² + (1+y)²))/2πT= [2xy]/(x²+y²) * x(1+arctan(x² + (1+y)²))/2πT(2) To find stagnation point, we have to find (x,y) such that ux = uy = 0 and ϕ(x,y) is finite. Here, from (1) we get two equations;  x(1+arctan(x² + (1+y)²))/2πT= 0 and  x(1+arctan(x² + (1+y)²))/2πT + y(1+arctan(x² + (1+y)²))/2πT= 0For (1), either x=0 or arctan(x² + (1+y)²) = -1, but arctan(x² + (1+y)²) can't be negative so x=0. Thus, we get the condition y= -1  from (2)So, stagnation point is (0, -1).(3) For the far field, pressure is p, density is P. In potential flow, we have;  P = ρv²/2 + P0,  where P0 is constant pressure. Here, P0 = P and v = ∇ϕ   so, P = ρ[ (∂ϕ/∂x)² + (∂ϕ/∂y)² ]/2Using expressions of ∂ϕ/∂x and ∂ϕ/∂y obtained above, we can find pressure at (0,-2).(4) Given flow is around a cylinder. For flow around cylinder, stream function can be written as;   ψ(r,θ) = Ur sinθ (1-a²/r²)sinθTo find centre and radius of the cylinder, we find point where velocity is zero. We know that ψ is constant along any streamline. So, at the boundary of cylinder, ψ = ψ0, and at the centre of the cylinder, r=0.Using stream function, it is easy to show that ψ0= 0.So, at boundary of cylinder; U(1-a²/R²) = 0, where R is radius of cylinder, which gives R=aSimilarly, at centre; U=0To find the resulting force on the cylinder, we first have to find the lift and drag coefficients;  C_d = 2∫_0^π sin²θ dθ = π/2   and  C_l = 2∫_0^π sinθ cosθ dθ = 0We know that C_d = F_d/(1/2 ρ U²L) and C_l = F_l/(1/2 ρ U²L)where L is length of cylinder.So, F_d = π/2 (1/2 ρ U²L) and F_l= 0. Thus, the resulting force is F= (π/2) (1/2 ρ U²L) at an angle 90° to the flow direction.

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Using these values, we can write Bernoulli's equation as: P + 1/2 * ρ * ((1 + arctan(5))^2 + (4/3)^2) = P_far

P = P_far - 1/2 * ρ * ((1 + arctan(5))^2 + (4/3)^2)

(1) To determine the expression for the velocity components ux and uy, we can use the relationship between velocity and potential in potential flow:

ux = ∂Φ/∂x

uy = ∂Φ/∂y

Taking the partial derivatives of the potential function Φ(x, y) with respect to x and y:

∂Φ/∂x = (1+arctan(x^2+(1+y)^2)) - x * (1/(1+x^2+(1+y)^2)) * (2x)

∂Φ/∂y = -x * (1/(1+x^2+(1+y)^2)) * 2(1+y)

Simplifying these expressions, we have:

ux = 1 + arctan(x^2+(1+y)^2) - 2x^2 / (1+x^2+(1+y)^2)

uy = -2xy / (1+x^2+(1+y)^2)

(2) To find the value of A such that the point (x, y) = (0,0) is a stagnation point, we need to find the conditions where both velocity components ux and uy are zero at that point. By substituting (x, y) = (0,0) into the expressions for ux and uy:

ux = 1 + arctan(0^2+(1+0)^2) - 2(0)^2 / (1+0^2+(1+0)^2) = 1 + arctan(1) - 0 = 1 + π/4

uy = -2(0)(0) / (1+0^2+(1+0)^2) = 0

For the point (x, y) = (0,0) to be a stagnation point, ux and uy must both be zero. Therefore, A must be chosen such that:

1 + π/4 = 0

A = -π/4

(3) To determine the pressure at the point (0, -2), we can use Bernoulli's equation for potential flow:

P + 1/2 * ρ * (ux^2 + uy^2) = constant

At the far field, where the velocity is assumed to be zero, the pressure is constant. Let's denote this constant pressure as P_far.

At the point (0, -2), the velocity components ux and uy are:

ux = 1 + arctan(0^2+(1-2)^2) - 2(0)^2 / (1+0^2+(1-2)^2) = 1 + arctan(5) - 0 = 1 + arctan(5)

uy = -2(0)(-2) / (1+0^2+(1-2)^2) = 4 / 3

Using these values, we can write Bernoulli's equation as:

P + 1/2 * ρ * ((1 + arctan(5))^2 + (4/3)^2) = P_far

Solving for P at the point (0, -2), we have:

P = P_far - 1/2 * ρ * ((1 + arctan(5))^2 + (4/3)^2)

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Answer:

3 and 5 but i dont know what number goes in what picture so just try then try the other way round if its wrong

Step-by-step explanation:

Answer:

Purple Diamond = 2  Green Moon = 7.5 Pink Trapezium = 30

Step-by-step explanation:

T = Pink Trapezium

D = Purple Diamond

M = Green Moon

Line 1 = T = 30 x 1 = 30

Line 2 = (D x D) x (M) = (2x2) x (7.5) = 4 x 7.5 = 30

The key is the weight of the line multiples to 30

Just like graphs do with x/y

If x is horizontal then y is vertical

= x/y we get the gradient which is the same as division or dividing 30/30 = 1 being the base weight amount

and same as 30/7.5 = 4 and simplifying 4 to (2 x 2)that means an easier way to see the number of (2x2) being the base weight = 1 x 2  then 1 x 2 then as we have found 4 its simplification we can divide it into 30 to show 30/4 = 7.5 for the Moon or for (M) above.

The 4 number is simplification and (+ 2 )(+ 2) is its factorization before it turns to 30 to show 30 = (2 x 2 x 7.5)  or 2^2 x 7.5 = 30. Etc. Etc.

The statements given are mostly true, except for the statements that V_4 is parallel to V_3 and that V_3 is greater than V_1.

The magnitude of a vector can be different in different coordinate systems. True

It is possible to add a scalar to a vector. True

A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. True

The direction of a vector can be different in different coordinate systems. True

A 2D vector can have a component equal to zero even when its magnitude is nonzero. True

The components of a vector can be different in different coordinate systems. True

It is possible to multiply a vector by a scalar. True

If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. False

If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. True

If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. True

If V_3 = V_1 + V_2, then V_3 > V_1. False

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