10. The water level of a lake fell by 1 inches during a 1 week-long dry spell. Simplity the complex fraction below to find the average rate at which the water level changed every week. inchesweek

Q: The average cost per unit, y, of producing x units of a product is modeled by y 750,000 +0.55x…

A:

Q: For the given equation, write in increasing order 2 consecutive cycles of key x-values, i.e., exact…

A: Given y=-2cos3x+π4-1

Q: Corridor Digital is producing an animated short film with three scenes of 25000 frames each. They…

A: Given Information:  Number of scenes = 3 Number of frames in each scene = 25000  Total number of…

Q: Suppose a child drops juice cup while in their high chair from a height of 2 feet. Use the position…

A: Suppose a child drops juice cup while in their high chair from a height of 2 feet. Position equation…

Q: i) Derive the continued fraction of V13.

A:

Q: Square Mile Coffee Roasters roast 600 bags of coffee per day in three shifts at an average rate of…

A:

Q: 16. Derek drove 18 miles to the airport to pick up his sister and then returned home. On return trip…

A:

Q: Solve the equation for x. arctan(2x − 5) = −1

A: Given: arctan(2x − 5) = −1 To find: Solve the given equation for the value of x Calculation:…

Q: A man is riding a car at the rate of 30 kph towards the foot of a monument 6 m high. At what rate is…

A:

Q: The stopping distance d of a car after the brakes have been applied varies direclty as the square of…

A: The speed of the car is r1=70 mph. The distance d1=350 and d2=56. We know that the topping distance…

Q: 5) Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If…

A: Note: Rate of change of volume of conical pile is equal to rate of change of sand pouring from the…

Q: Explain how you arrived at your conjecture.

A:

Q: How do you find the number k by looking at the graph ofy = k + A sin (Bx + C)?

A: Given: How do you find the number k by looking at the graph ofy = k + A sin (Bx + C)?

Q: Water is leaking out of an inverted conical tank at a rate of 7600 cubic centimeters per minute at…

A: Given: Water is leaking out of an inverted conical tank at a rate of 7600 cubic centimeters per…

Q: Q2: Gives the values of sinhx, coshx ,and find the values of the remaining five hyperbolic…

A: Since, we sinh(x)=43Since, we know that cosh2 (x)-sinh2 (x)=1⇒cosh2 (x)-169=1⇒cosh2 (x)=169+1⇒cosh2…

Q: 5.) y=cot(4(x+))-1

A: The function for the graph is y=cot4x+π8-1.

Q: Зу" — бу' + 6у%3D е' sec x

A: Given differential equation, 3y''-6y'+6y=exsecxy''-2y'+2y=13exsecx

Q: Solve x2 + 10x – 7 = 0 Give your answers correct to 3 significant figures. Show your working…

A: For the quadratic equation, ax2+bx+c=0, the quadratic equation is given by:

Q: The rectangles in the figure have been drawn to approximate g(x) dx.

A: Left Rectangle approximation :The left rectangle approximation uses the left top vertices of the…

Q: 2. A person who is 6 feet tall is walking away from a lamp post at the rate of 40 feet per minute.…

A:

Q: A roasted turkey is taken from an oven when it's temperature has reached 185 degrees Fahrenheit and…

A: Newton's Law of cooling:        T(t) = Ta + (To - Ta)e-kt T(t)= temperature at time t Ta = Ambient…

Q: Step 3 Therefore, (은)+ (음) (문) + (우)기 w M4 X (rounded to six decimal places). Submit Skip (you…

A:

Q: During a mock examination at a Senior High School in Ghana, there was a core mathematics question…

A: Write A as a function of r A∝r2, that is, A=kr2

Q: 2. Use geometry to evaluate (2 (2x+6)dx. You need to draw a graph.

A:

Q: 4. y = = csc 1+2x) cot(1-2x)

A:

Q: If f(x)= ∫ (top 16, bottom 9) (-x^(-1/2)+5) dx. Enter your answer as an exact fraction of necessary.

A:

Q: A 5-meter long iron wire is cut in two. One piece is to form a square and the other a circle. a)…

A: According to the given information, Let x be the perimeter of the square and 5-x be the…

Q: Water is leaking out of an inverted conical tank at a rate of 11800 cubic centimeters per min at the…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 14800 cubic centimeters per min at the…

A: Rate of change

Q: shrinking

A:

Q: Consider two tanks. Tank A and Tank B. Tank A contains 100 gallons of solution in which is dissolved…

A: solution

Q: A light is placed on the ground 19 meters from a building. A man 2 meters tall walks from the light…

A:

Q: What is the value of (2.0)given y = 2sin(4x) dz

A: This can be done as follows:

Q: Question 2 The revenue from the sale of a product is given by R - x3 - 5x? + 250x When 10 units are…

A: Solve for

Q: What is the image of (-6,0)(−6,0) after a dilation by a scale factor of \frac{1}{3}31​ centered at…

A: Given point: (-6,0) Dialation scale factor is 13

Q: Solve for x in the equation: arctan(2x) + arctan(x) = pi/4

A:

Q: A certain bacterial cell is spherical in shape. What is the approximate increase in the volume of…

A: The volume of the sphere is given as:   1micrometer = 10-6 m

Q: Evaluate f - dr 3 r(r²–4) 2 Select one: a.-굶( + arcsec를) + c b.-꾜( + arcsec를) +c 22 -a( + arsec를) +…

A: To solve this integration we have to use integration by substitution

Q: H-W. Min 2=20X メー+2-メ Ya 3 Const.

A: Given: MinZ=20x1+10x2x1+2x2≤403x1+x2≥304x1+3x2≥60

Q: ines: 8. 3 x 4; D = {Integers} %3D -

A:

Q: The water level in a conical reservoir 50 ft deep and 200 ft across the top is falling at the rate…

A: At any time t, let the height of the water be h ft and the diameter of the cone formed by the volume…

Q: y = In(x + 3)4

A: As u mentioned to solve 2nd equation, the solution of the same is attached in next step.

Q: 5. Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the…

A: Given that water running out of a conical funnel at the rate=1000 cu mm/sec=1 cm3/sec Base radius of…

Q: A stone is thrown into still water and causes concentric circular ripples. The radius of the ripples…

A:

Q: Find the surface area of a sphere at the instant when the rate of increase of the volume of the…

A: Topic:- application of derivatives

Q: In the vicinity of a bonfire, the temperature T in C at a distance of x meters from the center of…

A: Given: In the Vicinity of a bonfire, the temperature T in C at a distance of xmeters from the center…

Q: Q4) find the soluation of differention equation using exact equation

A:

Q: 36) sec 4

A: We have to evaluate sec3π4. We know that secπ2+θ=-cscθ Therefore, sec3π4=secπ2+π4=-cscπ4=-2

Q: Figure 2: 4. x 54% 5. mLZ 5. Z- Y 6. mLY

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.