Candice and Phoebe are traveling on the same
highway in the same direction. Candice is
traveling at 45 mph and is exactly 40 miles
ahead of Phoebe who is traveling at 55 mph.
How many hours will it take Phoebe to catch
Candice?

Answer:

jrir4hut4hgu8

Step-by-step explanation:

Answer:

x = 4

y = 2

Step-by-step explanation:

the third angle of the triangle

180 - (148 + 18) = 14º

Therefor

3x + y = 14

5x - y = 18

Add the equations

8x = 32

Divide both sides by 8

x = 4

Plug in x = 4

3(4) + y = 14

12 + y = 14

y = 2

9514 1404 393

Answer:

  (x, y) = (4, 2)

Step-by-step explanation:

The triangles are similar by AA similarity, so the corresponding angles are congruent.

  5x -y = 18 . . . . . . unmarked angles are congruent

  18 +(3x+y) +148 = 180 . . . . . sum of angles in a triangle is 180°

__

After subtracting 166 from both sides, the second equation simplifies to ...

  3x +y = 14

Adding this to the first equation gives ...

  8x = 32

  x = 4 . . . . . . divide by 8

Then substituting for x in the first equation gives ...

  5(4) -y = 18

  20 -18 = y = 2

The values of the variables are x = 4, y = 2.

_____

The angle marked with a double mark is 14°, given by the simplified second equation.

Answer:

yep

Step-by-step explanation:

Answer:I think its multiply

Step-by-step explanation: 90 x 2 = 180

To calculate the value of a put using implied volatility, you can use the Black-Scholes formula.

The Black-Scholes formula is a mathematical model used to calculate the price of European-style options. The formula takes into account the current stock price, the strike price of the option, the time until expiration, the risk-free interest rate, and the implied volatility of the option.
The formula for calculating the value of a put option using implied volatility is:
P = Ke^(-rt) * N(-d2) - Se^(-qt) * N(-d1)
Where:

- P is the price of the put option
- K is the strike price of the option
- S is the current stock price
- r is the risk-free interest rate
- t is the time until expiration
- q is the dividend yield
- N is the cumulative distribution function of the standard normal distribution
- d1 and d2 are calculated as follows:

d1 = (ln(S/K) + (r - q + 0.5 * σ^2) * t) / (σ * √t)
d2 = d1 - σ * √t

By plugging in the appropriate values for each variable and solving the equation, you can calculate the value of a put option using implied volatility.

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Answer:

x = \(\frac{3}{4}\) = 0.75

Step-by-step explanation:

Answer:

ocean is here!

Step-by-step explanation:

The measure of angle A is 27°

Tangent-Secant Theorem: The product of the measures of the secant segment and its external secant segment is equal to the square of the measure of the tangent segment if a tangent segment and a secant segment are drawn to a circle from an exterior point.

The Circle identities refer to a set of fundamental identities in trigonometry that relate the six trigonometric functions of an angle in a right-angled triangle.

Since AB is tangent to circle P, we know that angle ABD is a right angle, point P is the center of the circle. Then we have:

We can use the fact that the angle between a tangent and a secant is equal to half the difference between the intercepted arcs to find the measure of angle A:

angle A = (1/2) × (arc BD - arc BC)

angle A = (1/2) × (135 - 81)

angle A = 27°

Therefore, the measure of angle A is 27°

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Answer:

29 degrees

Step-by-step explanation:

Given

<D = 2x+8

<A = 122

The sum of the adjacent angle of the trapezoid is 180 degrees

<D + <A = 180

2x + 122 = 180

2x = 180-122

2x = 58

x = 58/2

x = 29 degrees

Hence the value of x is 29 degrees

The distance between two given points x₁ and x₂ for the 6th grade can be calculated by :

a. If the points lie in the same quadrants then distance = | x₂ - x₁ |

b. If the points lie in the different quadrant then distance = |x₂| + |x₁|.

As given in the question,

The distance between the two given points can be calculated in the following way:

Let us consider two points in the coordinate plane whose one coordinate is constant be ( x₁, y) and ( x₂ , y ).

a. Distance between two points in the same quadrants is given by :

= | x₂ - x₁ |

b.  Distance between two points in the different quadrants is given by :

= |x₂| + |x₁|

It is represented by absolute value as distance is always positive.

Therefore, the distance between two given points with one coordinate constant for the 6th grade is given by :

a. If the points lie in the same quadrants then distance = | x₂ - x₁ |

b. If the points lie in the different quadrant then distance = |x₂| + |x₁|.

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Answer:

the number of children = 124/4= 31 (hope this answered your question)

Step-by-step explanation:

let the number of ladoos distributed to children be X and the number of ladoos distributed to adults X=140-16

be y

X+Y=140

Y =16

X=124

the number of children = 124/4= 31

a) The Taylor series for f(x) centered at x = 0 can be written in summation notation as f(x) = Σ[(2^r)(x^r)]. The series starts from r = 0 and goes to infinity.

b) To calculate the limit lim(x→3) [f(x) + 3x - 7], we substitute the value x = 3 into the expression. If the limit approaches infinity, it needs to be specified whether it is positive infinity (oo) or negative infinity (-oo).

a) The Taylor series for f(x) centered at x = 0 can be expressed in summation notation as f(x) = Σ[(2^r)(x^r)]. Here, r represents the index of summation, starting from 0 and going to infinity. The terms of the series involve powers of x and coefficients of 2 raised to the power of r. This series represents the expansion of the function f(x) around x = 0.

b) To calculate the limit lim(x→3) [f(x) + 3x - 7], we substitute the value x = 3 into the expression. The result will depend on the behavior of f(x) as x approaches 3. If the limit approaches a finite value, it will be the value of the expression at x = 3. If the limit approaches infinity, it needs to be specified whether it is positive infinity (oo) or negative infinity (-oo) to provide a complete answer.

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The given quantity log(5/sqrt(7)) can be expressed in terms of a and b as 2a - (1/2)b.

To understand how we arrive at this expression, let's break it down step by step. We start with the given quantity log(5/sqrt(7)).

First, we can use the logarithmic property that states log(a/b) is equal to log(a) - log(b). Applying this property, we can rewrite the expression as log(5) - log(sqrt(7)).

Next, we can use another logarithmic property that states log(sqrt(x)) is equal to (1/2)log(x). Applying this property to log(sqrt(7)), we get (1/2)log(7).

Now we substitute the values of a and b into the expression: log(5) - (1/2)log(7) = a - (1/2)b.

Therefore, the given quantity log(5/sqrt(7)) can be expressed in terms of a and b as 2a - (1/2)b.

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The probability that a randomly selected customer bought exactly 1 of the accessories is 0.664, or 66.4%.

To find the probability that a randomly selected customer bought exactly 1 of the accessories, we need to determine the number of customers who bought exactly 1 accessory and divide it by the total number of customers.

Let's denote the events:

A = customer bought a case

B = customer bought an extended warranty

C = customer bought a dock

We are given the following information:

411 customers bought cases (A)

82 customers bought extended warranties (B)

100 customers bought docks (C)

57 customers bought both a dock and a warranty (B ∩ C)

65 customers bought both a case and a warranty (A ∩ B)

77 customers bought both a case and a dock (A ∩ C)

48 customers bought all three accessories (A ∩ B ∩ C)

58 customers bought none of the accessories

To find the number of customers who bought exactly 1 accessory, we can sum the following quantities:

(A - (A ∩ B) - (A ∩ C)) + (B - (A ∩ B) - (B ∩ C)) + (C - (A ∩ C) - (B ∩ C))

(A - (A ∩ B) - (A ∩ C)) represents the number of customers who bought only a case.

(B - (A ∩ B) - (B ∩ C)) represents the number of customers who bought only an extended warranty.

(C - (A ∩ C) - (B ∩ C)) represents the number of customers who bought only a dock.

Calculating the above expression, we get:

(411 - 65 - 77) + (82 - 65 - 57) + (100 - 77 - 57) = 332

Therefore, there are 332 customers who bought exactly 1 of the accessories. To find the probability, we divide this number by the total number of customers, which is 500:

Probability = 332/500 = 0.664

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Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

Answer:

i think it is b

Step-by-step explanation:

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.

The angle measure of angle Q is ∠Q = 23.5781784782 degrees.

The ratios of a triangle's side lengths to each of its opposite angles are related by the law of sines. There is no change in this ratio for the three sides of the opposing angles.

Given:

In ΔOPQ,

the side opposite to the angle Q is o = 56 cm.

The corresponding pair,

q = 38 cm and ∠Q = 143°.

Sin(143°)/p = sin(Q)/q

SinQ = (0.60181502/56)38

SinQ = 0.40837447785

Q = sin⁻¹(0.40837447785)

Q = 23.5781784782

Therefore, ∠Q = 23.5781784782.

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The values of x and y of the parallelogram PQRS are x = 2 and y = 11

We're given the dimensions of parallelogram PQRS as;

PT = y

TR = 5x + 1

QT = 2y

TS = 6x + 10

T is the intersection of the two diagonals PR and QS and so the diagonals bisect each other.

The diagonal PR is cut into PT and TR, both of which are congruent or equal. Thus, PT = TR.

Similarly, the other diagonal QS is split in half as well. The two equal pieces are QT and TS. So QT = TS.

PT = TR

y = 5x + 1

and

QT = TS

2y = 6x + 10

Plugging the values gives;

2y = 6x + 10

2(y) = 6x + 10

2(5x + 1) = 6x + 10

2*5x + 2*1 = 6x + 10

10x + 2 = 6x + 10

10x + 2 - 6x = 6x + 10 - 6x

4x + 2 = 10

4x + 2 - 2 = 10 - 2

4x = 8

4x/4 = 8/4

x = 2

If x = 2, then y is...

y = 5x+1

y = 5*x+1

y = 5*2+1

y = 10+1

y = 11

Thus, the values of x and y of the parallelogram PQRS are x = 2 and y = 11

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Answer:

Circumference = 37.7 ft

Area = 1131.1 ft^2

Step-by-step explanation:

Circumference = 2πr

                         = 2π(6)

                         = 12π

                         = 37.7 ft

Area = π\(r^{2}\)

        = π\((6)^{2}\)

        = 36π

        = 113.1 ft^2

Answer:

resistant

because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

\(distance = \sqrt{(x2-x1)^2+(y2-y1)^2}\)

\(\sqrt{(4-4)^2+(2-(-3))^2}\)

Simplify.

\(\sqrt{0^2+5^2} = \sqrt{25}\)

\(\sqrt{25} = \sqrt{5^2}\)

Pull terms out from under the radical, assuming positive real numbers.

5

good luck, hope this helps :)

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

The values of derivatives are:

To find the partial derivative ∂Z/∂X for the function Z = F(X, Y) = -5X³ + 9Y² + 8XY, we differentiate the function with respect to X while treating Y as a constant:

∂Z/∂X = d/dX (-5X³ + 9Y² + 8XY)

Taking the derivative of each term:

∂Z/∂X = -15X² + 8Y

Similarly, to find the partial derivative ∂Z/∂Y,

we differentiate the function with respect to Y while treating X as a constant:

∂Z/∂Y = d/dY (-5X³ + 9Y² + 8XY)

Taking the derivative of each term:

∂Z/∂Y = 18Y + 8X

Next, we can find Fx(4, 0) by substituting X = 4 and Y = 0 into the expression for ∂Z/∂X:

∂Z/∂X = -15(4)² + 8(0)

Simplifying the expression:

∂Z/∂X = -15(16)

      = -240

Hence, Fx(4, 0) = -240.

Similarly, to find Fy(4, 0), we substitute X = 4 and Y = 0 into the expression for ∂Z/∂Y:

∂Z/∂Y = 18(0) + 8(4)

Simplifying the expression:

∂Z/∂Y = 8(4)

      = 32

Hence, Fy(4, 0) = 32.

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Answer:

(-3, -4) corresponds to (0, 0) in f(x)

Step-by-step explanation:

Answer:

d on edge :)

Step-by-step explanation: