Find the inverse of the function below and sketch by hand a graph of both the function and its inverse on the same coordinate plane.

Share all steps as described in the lesson to earn full credit. Images of your hand written work can be uploaded.

f(x)=x^2+2 with the domain x \geq0

Answer:

Step-by-step explanation:

If it has a hyptoenuse it is a right triangle.

The sides an be found by  using:

a ² + b² = c²

since LN = LM the two legs are equal to each other - let's substitute a² for b² since a and be will be equal to each other.

a² + a² = 37²

2a²  =  37²

√2a² = √37²

a√2 = 37

a\(\sqrt{2}\) /\(\sqrt{2}\) = 37 / \(\sqrt{2}\)    (Divide each side by \(\sqrt{2}\) )

a = 26.16295

So LN = 26.16295 as well as LM

Answer:

x = 5

Step-by-step explanation:

These angles are supplementary so:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 5

A. a^1/12

When dividing two exponents with the same base, subtract the denominator exponent from the numerator's exponent.

the difference is the value of the new exponent with the same base.

18

(4)^2-2*4+10

16-8+10

16+2

18

Answer:

6d+9 = $

Step-by-step explanation:

Answer:

4,900

Step-by-step explanation:

if it is 4 or less it stays the same

if it 5 or more add 1 more

Answer:

that looks like the directions

Step-by-step explanation:

can you put a screenshot of the problem.

Answer:

sorry I didn't understand the answer t what is the answer t can u elaborated

Answer:

false

Step-by-step explanation:

its right

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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Answer:

There are no like terms

Step-by-step explanation:

Like terms are when you have the same variable on both sides which you dont have

Answer:

8

Step-by-step explanation:

160×5%

\(\frac{160 * 5}{100}\) = 8

Answer:

m=21

Step-by-step explanation:

based on the dilation from 'ABC' to 'QRS' (which is 3) m should =21

hope this helps! :)

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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The value of c does not affect the covariance of Y and Z.

The covariance of Y and Z can be calculated as Cov(Y, Z) = E[YZ] - E[Y]E[Z]. Since X is Bernoulli with parameter p and E[X] = p, we have E[Z] = pE[Y]. Hence,

Cov(Y, Z) = E[YZ] - E[Y]E[Z]

= E[YXY] - pE[Y]^2

= pE[Y^2 X] - pE[Y]^2

= p(E[Y^2]E[X] + Var[Y]p) - pE[Y]^2

= p(1 * p + 1 * p^2) - p^2

= p - p^2

It can be seen that the value of c does not affect the covariance of Y and Z.

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As we know that the area of an equilateral triangle with side a is given by ;

So , now using formula in our question, putting the value of the side, we can thus obtain

\({:\implies \quad \sf Area=\dfrac{\sqrt{3}}{4}(16)^{2}}\)

Putting value of √3 ≈ 1.73 and cancelling 4 we have ;

\({:\implies \quad \sf Area\approx 1.73\times 64}\)

\({:\implies \quad \sf Area\approx 110.72\:\: cm^{2}}\)

\({:\implies \quad \sf Area\approx 110.7\:\: cm^{2}}\)

This is the required answer

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Answer:

10 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw a picture. The ladder is the hypotenuse of a right triangle with legs of length 6 ft and 8 ft.

length of ladder = √(6²+8²) = 10 ft

The correct value of particle's acceleration at t = 2 seconds is -1/12 m/s^2.

To find the particle's velocity, we need to take the derivative of the position function with respect to time (t).

Given the position function:

s = √24 + 6t

To find the velocity, we differentiate the position function with respect to time:

v = ds/dt

Applying the power rule and chain rule for differentiation, we get:

v = (1/2) * (24 + 6t)^(-1/2) * 6

Simplifying further:

v = 3 / √(24 + 6t)

To find the velocity at t = 2 seconds, we substitute t = 2 into the velocity equation:

v = 3 / √(24 + 6(2))

v = 3 / √(24 + 12)

v = 3 / √36

v = 3 / 6

v = 1/2 m/s

So, the particle's velocity at t = 2 seconds is 1/2 m/s.

Now, let's find the particle's acceleration. Acceleration is the derivative of velocity with respect to time.

a = dv/dt

To find the acceleration, we differentiate the velocity function with respect to time:

a = d(3 / √(24 + 6t)) / dt

Applying the quotient rule and chain rule, we get:

a = -3 * (24 + 6t)^(-3/2) * 6

Simplifying further:

a = -18 / (24 + 6t)^(3/2)

To find the acceleration at t = 2 seconds, we substitute t = 2 into the acceleration equation:

a = -18 / (24 + 6(2))^(3/2)

a = -18 / (24 + 12)^(3/2)

a = -18 / 36^(3/2)

a = -18 / 36^(3/2)

a = -18 / 216

a = -1/12 m/s^2

So, the particle's acceleration at t = 2 seconds is -1/12 m/s^2.

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The percentage improvement in reliability when test length is doubled is 15%

R(n) = 0.25n / (0.75 + 0.25n)

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(1) = 0.25(1) / (0.75 + 0.25(1))

R(1) = 0.25 / 1

R(1) = 0.25

when test length is doubled , n = 2

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(2) = 0.25(2) / (0.75 + 0.25(2))

R(2) = 0.5 / 1.25

R(2) = 0.4

Percentage improvement can be calculated thus ;

R(2)-R(1)/R(1) × 100%

(0.4-0.25)/0.25 × 100%

0.15 × 100%

=15%

Therefore, percentage improvement in reliability is 15%

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Answer: 116322

Step-by-step explanation:

23948+92374= 116322

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Answer:

0.4658 kg

Step-by-step explanation:

First you'll need to understad what Perpendicular Bisector Theorem is:

The Perpendicular Bisector Theorem states that a point is on the perpendicular bisector of a segment if and only if it is equidistant from the endpoints of the segment.

so X=45 degrees

and Y= 90 degrees

I'm not sure about X

but I hope this helps

:D

From Kenny

Answer: 478,412

Step-by-step explanation:

In order to do this just take 2 million and subtract the number of chips you wanted to take away. For example, it'd be 2,000,00 - 1,521,588 which leaves you with 478,412.

Answer:

-10.5

Step-by-step explanation:

It's just addition between the foots up, and that result you subtract by the SUM of the foots down