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28) f(x) = ax? + bx+c is a quadratic function where a, b and c are constant,
the value of x of the point of intersection of this quadratic function and linear
function g(x) = 2x - 1 is 3. The vertex of f(x) is at (-3,-1). What is the
product of a, b and c?

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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The frequency is f' = 4.2 kHz(343 m/s + 769 m/s) / (343 m/s + 0) = 7.8 kHz.

a. The speed of sound in water is 1481 m/s. Since the sound wave has to travel from the ship to the Titanic and then back to the ship, the total distance is 2 x 12600 = 25200 feet. Using the formula:Speed = distance / time, we get the following:1481 m/s = 25200 feet / time Time = 42.64 seconds. This is the time it took for the sound waves to return to the ship after hitting the Titanic.

b. Since the camera has a buoyancy force of 232 N, the force of gravity acting on it is (55 kg)(9.8 m/s²) = 539 N. Therefore, the net force acting on the camera is (539 N - 232 N) = 307 N. Using Newton's second law: Force = mass x acceleration, we get the following:307 N = (55 kg) x acceleration Acceleration = 5.58 m/s². This is the acceleration of the camera. To find the time it takes for the camera to reach the Titanic, we use the following kinematic equation:Distance = ½ x acceleration x time². Since the distance is 12600 feet, we convert it to meters:12600 feet = 3840 meters Distance = 3840 meters Acceleration = 5.58 m/s² Time = √(2 x distance/acceleration) Time = √(2 x 3840 / 5.58) Time = 78.5 seconds. This is the time it takes for the camera to reach the Titani

c. To find the final temperature of the doll and the olive oil, we use the following equation:Q1 + Q2 = Q3. Q1 is the heat lost by the doll, Q2 is the heat gained by the olive oil, and Q3 is the total heat after the two are combine

d. The specific heat capacity of porcelain is 880 J/(kg·°C) and that of olive oil is 1880 J/(kg·°C). Using the formula Q = mcΔT (where Q is the heat, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature), we get the following:Q1 = (1.2 kg)(880 J/(kg·°C))(35.0°C - 5.00°C) = 21120 JQ2 = (4.5 kg)(1880 J/(kg·°C))(35.0°C - 5.00°C) = 126360 JQ3 = Q1 + Q2 = 147480 J. The heat capacity of the combined system is (1.2 kg + 4.5 kg)(Cp) = 8310 J/°C. Therefore, the final temperature is:ΔT = Q3 / (mCp) = 147480 J / (8310 J/°C) = 17.75°CFinal temperature = 35.0°C + 17.75°C = 52.75°C d. To find the Mach number of the plane, we use the formula: Mach number = velocity of object/speed of sound in medium. The speed of sound in air is approximately 343 m/s at -65.0°C. Therefore, the Mach number is:Mach number = 769 m/s / 343 m/s = 2.24. This is the Mach number of the plane.

e. The frequency of the engine is 4.2 kHz. As the plane approaches the people waiting to be rescued, the frequency of the engine will increase due to the Doppler effect. The Doppler effect is given by the following formula: f' = f(v ± vr) / (v ± vs), where f is the frequency of the source, v is the speed of sound in air, vr is the speed of the observer, and vs is the speed of the source. Since the plane is approaching the people waiting to be rescued, the sign is positive.

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Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

\(y\) \(x^{2}\)

Step-by-step explanation:

I did the work on paper, do you want me to send u a picture?

Answer:B

Step-by-step explanation:

Answer:

u should put this also in English then type it in so it will translate

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

Answer:

yards of wire left on the roll = 500 - r(3)

Step-by-step explanation:

9 feet = 3 yards we need to find how much wire is left on the roll after she builds a certain amount of robots. she uses 9 feet or 3 yards per robot so we have to multiply the amount of robots (r) by 3 yards and subtract that from 500 yards or the total amount of wire she has and that gives us the total amount of wire she has left. Hope this helps.

Answer:

C. x = -4, 5/2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

I did the quadratic formula, so 2 is A, 3 is B, and -20 is C. I got -4 and 5/2 as my answers...

(hope this helps :P)

Answer:

I think

Step-by-step explanation:

I think its 3 ^7 but i could be wronf

The driving time along this stretch was reduced by 36% for a person who always drives at the speed limit.

To calculate the percent reduction in driving time along the stretch, we need to consider the effects of both the distance decrease and the speed increase.

First, let's assume the original distance of the stretch was D. After the reconstruction, the distance is now 0.8D (since it was decreased by 20%).

Next, let's assume the original speed limit was S. After the reconstruction, the speed limit is now 1.25S (since it was increased by 25%).

To calculate the original driving time along the stretch, we would use the formula: time = distance / speed. So the original driving time would be D/S.

After the reconstruction, the driving time would be (0.8D) / (1.25S) = 0.64D/S.

To calculate the percent reduction in driving time, we can use the formula: (original time - new time) / original time * 100%.

Plugging in the values we calculated, we get:

(original time - new time) / original time * 100% = (D/S - 0.64D/S) / (D/S) * 100% = 36%.

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Answer: (a) The English system of units used in surveying:

Length: The basic unit of length is the foot (ft).

Area: The basic unit of area is the square foot (ft²).

Volume: The basic unit of volume is the cubic foot (ft³).

Angles: The basic unit of angles is degrees (°).

(b) The SI (International System of Units) system of units used in surveying:

Length: The basic unit of length is the meter (m).

Area: The basic unit of area is the square meter (m²).

Volume: The basic unit of volume is the cubic meter (m³).

Angles: The basic unit of angles is the degree (°) or the radian (rad).

It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.

Step-by-step explanation:

Sweet Dreams Bakery sold a total of 87 pies yesterday.

To arrive at this answer, we need to use the information provided in the question. We know that the bakery sold 18 more apple pies than cherry pies, and 12 more cherry pies than pumpkin pies. Let's use x to represent the number of pumpkin pies sold.

This means that the number of cherry pies sold is x + 12, and the number of apple pies sold is (x + 12) + 18, which simplifies to x + 30.

To find the total number of pies sold, we can add up the number of pumpkin, cherry, and apple pies:

x + (x + 12) + (x + 30) = 3x + 42

So, Sweet Dreams Bakery sold 3x + 42 pies in total yesterday.

To find the value of x, we can use the fact that the bakery sold a total of 87 pies.

3x + 42 = 87

Subtracting 42 from both sides gives:

3x = 45

Dividing both sides by 3 gives:

x = 15

So, the bakery sold 15 pumpkin pies, 27 cherry pies (15 + 12), and 45 apple pies (27 + 18).

Sweet Dreams Bakery sold a total of 87 pies yesterday, with 15 pumpkin pies, 27 cherry pies, and 45 apple pies sold.

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Answer:

Rate of change = 12

y-intercept = 60

Step-by-step explanation:

Slope-intercept form of an equation: y = mx + b

m = slope = rate of change

b = y-intercept

y = 12x + 60

m = 12

b = 60

Equations for the set of the plane through the point \((x_0,y_0,z_0)\) and parallel to:

a. xy-plane is \(z=z_0\)   b. yz-plane is \(x=x_0\) c. xz-plane is \(y=y_0\)

The given set is the plane through the point  \((x_0,y_0,z_0)\) parallel to:

a. xy-plane   b. yz-plane  c. xz-plane

Equation of the plane parallel to a plane containing a vector \(\vec r\) through the point \((x_0,y_0,z_0)\) is \((\vec r-(x_0,y_0,z_0)) .\vec n=0\) ,where \(\vec n\) is the normal to the plane and \(\vec r =x\vec i +y\vec j +z\vec k\).

a. Plane through  \((x_0,y_0,z_0)\) and parallel to the xy-plane is,

    \((x\vec i +y\vec j+z\vec k) - (x_0+y_0+z_0) . \vec k\) = 0

⇒ \((x-x_0)\vec i +(y-y_0)\vec j+(z-z_0)\vec k) . \vec k=0\)

⇒ \(z-z_0 =0\)

⇒ \(z=z_0\) is the equation of the plane through  \((x_0,y_0,z_0)\) and parallel to xy-plane.

b. Plane through  \((x_0,y_0,z_0)\) and parallel to the yz-plane is,

    \((x\vec i +y\vec j+z\vec k) - (x_0+y_0+z_0) . \vec i\) = 0

⇒ \((x-x_0)\vec i +(y-y_0)\vec j+(z-z_0)\vec k) . \vec i=0\)

⇒ \(x-x_0 =0\)

⇒ \(x=x_0\) is the equation of the plane through  \((x_0,y_0,z_0)\) and parallel to yz-plane.

c.  Plane through  \((x_0,y_0,z_0)\) and parallel to the xz-plane is,

    \((x\vec i +y\vec j+z\vec k) - (x_0+y_0+z_0) . \vec j\) = 0

⇒ \((x-x_0)\vec i +(y-y_0)\vec j+(z-z_0)\vec k) . \vec j=0\)

⇒ \(y-y_0 =0\)

⇒ \(y=y_0\) is the equation of the plane through  \((x_0,y_0,z_0)\) and parallel to xz-plane.

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Answer:

A-Kite

B-Parallelogram

C-Rectangle

D-Trapezoid

Step-by-step explanation: Just took the quiz

Using translation concepts, a stretch of a decay exponential function is given by:

\(f(x) = 5\left(\frac{1}{5}\right)^x\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

An exponential decay function is given by:

\(y = ab^x\)

In which |b| < 1.

A stretch means that the function is multiplied by a factor with absolute value greater than 1, hence the function would be given by:

\(f(x) = 5\left(\frac{1}{5}\right)^x\)

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Answer:

.08x + .11(26,000 - x) = 2,320

.08x + 2,860 - .11x = 2,320

.03x = 540

x = $18,000 in 8% account

$26,000 - $18,000 = $8,000 in 11% account

In this case, the inverse demand curve for eggs is given as p = 20 - 0.25q, and we want to find the price elasticity of demand at p = $4.

The price elasticity of demand (E) is calculated using the formula E = (dq/dp) * (p/q). To find the derivative of the demand function with respect to quantity (dq/dp), we differentiate the inverse demand curve with respect to q:

dq/dp = -1 / (dp/dq)

Given that p = 20 - 0.25q, we differentiate it with respect to q:

dp/dq = -0.25

Taking the reciprocal of dp/dq, we get:

dq/dp = -1 / -0.25 = 4

Now, we substitute the given price (p = $4) into the demand function to find the corresponding quantity (q):

$4 = 20 - 0.25q

0.25q = 16

q = 64

Finally, we calculate the price elasticity of demand at p = $4:

E = (dq/dp) * (p/q) = 4 * ($4 / 64) = 0.25

Therefore, the price elasticity of demand at a price of $4 is 0.25.

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The volume of a triangular pyramid is 13. 5 m³. The volume of a triangular prism with a congruent base and the same height is 27 m³

Given that the volume of a triangular pyramid is 13.5 m³.

Now we need to find the volume of a triangular prism with a congruent base and the same height.

We know that the volume of a triangular prism is given by the formula,

V = 1/2 * b * h * I

Where, b = base length

h = height

l = length

Now, in a triangular prism, the base is a triangle, so the volume of a triangular prism is given by,

V = base area * height

V = (1/2 * b * h) * h

V = 1/2 * b * h²

So, the volume of a triangular prism with a congruent base and the same height is,

V = 13.5 × 2 = 27 m³

Therefore, the volume of a triangular prism with a congruent base and the same height is 27 m³.

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Answer:

the answer to this question is 22ft

Answer:

2x+ 2y = -2

Step-by-step explanation:

Given the equation of a line as x + y = -1

To get the equation of the line P so the set of equations has infinitely many solutions, we will have to multiply the given equation by a factor

Multiplying the given equation by a factor of 2;

Given x + y = -1

Multiplying both sides by 2;

2(x + y) = 2(-1)

2x+ 2y = -2

Hence the required equation is 2x+ 2y = -2

Answer:

Fractions?

Step-by-step explanation:

Um, please try to put in a little more to put forth an effort with the question, this looks like random nonsense. :|

Step-by-step explanation:

Not a right triangle.

To determine if a triangle is a right triangle, we can apply the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate:

The given side lengths are:

Side A: 11 feet

Side B: 9 feet

Side C: 14 feet (hypotenuse)

According to the Pythagorean theorem, if the triangle is a right triangle, then:

Side A^2 + Side B^2 = Side C^2

Substituting the values:

11^2 + 9^2 = 14^2

121 + 81 = 196

202 ≠ 196

Since 202 is not equal to 196, we can conclude that the triangle with side lengths 11 feet, 9 feet, and 14 feet is not a right triangle.

Answer: -64

Step-by-step explanation:

(8−2 • 35)−2

8-70-2

8-72

-64

Answer:

(8 - 2 • 35) - 2 = -64

Step-by-step explanation:

Given problem,

→ (8 - 2 • 35) - 2

Let's solve the problem,

→ (8 - 2 • 35) - 2

→ (8 - (2 × 35)) - 2

→ (8 - 70) - 2

→ -62 - 2

→ -64

Hence, the answer is -64.

Answer:

y=1

Step-by-step explanation:

8y-9=-3y+2

-2

8y-11=-3y

-8y

-11=-11y/-11

Answer:

y=1

Step-by-step explanation:

8y+3y=2+9

11y/11=11/11

y=1