George Carl

We have 48$ to spend on soda and chips for a party. A six-pack of soda cost $6 and a bag of chips cost $4. The number of six-packs we can afford, y, is a function of the number of bags of chips we decide to buy,x. Find an equation relating x and y.

7 years ago

A museum charges $4 for a group of 4 or fewer people. A group of more than 4 people must, in addition to the $4, pay $2 per person for the number of people above 4. The maximum group size is 9. (a) What are the domain and range of this cost function? Ente...

7 years ago

let g(x)=root25-x^2. The range of a function that will translate the graph of 6 units to the right and 2 units up is ____<=y<=______ Fill in the blank

7 years ago

Suppose f(x)=x^3 and the graph of g(x) is the graph of f(x) shifted vertically up 1 units and horizontally to the right 3 units. Find the Formula fir g(x)

7 years ago

Find the value of k so that the line containing the points (−5,k) and (7,3) is parallel to the line containing the points (−8,−8) and (−1,−14)

7 years ago

f(x){4x-10, if x<=2 f(x){7-1/2x if x>2 Find the domain and Range

7 years ago

The radius, r, in centimeters, of a melting snowball is given by r=55−1.5t, where t is the time in hours. The V=4/3πr^3 cm^3. Find a formula for V=f(t), the volume of the snowball as a function of time.

7 years ago

A circular oil slick is expanding with radius, r in feet, at time t in hours given by r=12t−0.3t^22, for t in hours, 0≤t≤10. Find a formula for A=f(t), the area of the oil slick as a function of time.

7 years ago

Find the inverse function of y=g(x)=2x^3+1

7 years ago

Suppose we are standing on top of a 300-ft tower and we are holding a shiny new penny.We do not hurt it down, for that would be dangerous and wrong! We toss it up at a velocity of 10 feet per second and then when it comes down it just happens to plummet t...

7 years ago

In economics, the demand for a product is the amount of that product that consumers are willing to buy at a given price. The quantity demanded of a product usually decreases if the price of that product increases. Suppose that a company believes there is...

7 years ago

One number is 10 less than a second number. Find a pair of such number that their product is as small as possible. These two numbers are ____ The smallest product is_____

7 years ago

Find the minimum and maximum value of the function y=−(x−4)^2+9. Enter infinity or -infinity if the function never stops increasing or decreasing.

7 years ago

A rancher has 360 feet of fencing to enclose two adjacent rectangular corrals. The wall separating the two corrals consists of a single fence. them. What dimensions for one of the individual corrals will produce the largest total area? Your answer is ____...

7 years ago

Find the initial value a, growth/decay factor b, and growth/decay rate r for the following exponential function: Q(t)=0.0036(2.58)^−4t a) The initial value is a= (b) The growth factor is b= (c) The growth rate is r=

7 years ago

Is the function below exponential? q(r)=−8/3^r If so, write the function in the form q(r)=ab^r and enter the values you find for a and b in the indicated blanks below. If the function is not exponential, enter NONE in both blanks below. a=-8 b=??

7 years ago

Is the function below exponential? G(t)=(5⋅t)^2 If so, write the function in the form G(t)=ab^t and enter the values you find for a and b in the indicated blanks below. If the function is not exponential, enter NONE in both blanks below. a= b=

7 years ago

Every year a lake becomes more polluted, and 5% fewer organisms can live in it. If in 2010 there are one million organisms, write an equation relating N, the number of organisms (in millions), to time t, in years since 2010.

7 years ago

Find a formula for the exponential function which satisfies the given conditions: g(10)=40 and g(30)=25. g(x)=

7 years ago

Find a formula for the exponential function which satisfies the given conditions: f(3)=1/4 and f(−1)=4.

7 years ago

x 3 6 9 15 21 f(x) 7.79 9.426 11.405 16.699 24.448 If the function is linear or exponential, write a formula for it below. If the function is neither, enter NONE.

7 years ago

Find a possible formula for the exponential function? 1.(0,40),(5,15) 2.(-2,12/9),(2,27/4)

7 years ago

If you write the function P=10e^−2t in the form P=P0a^t, then P0= a= .

7 years ago

A population doubles every 18 years. Assuming exponential growth find the following: (a) The annual growth rate: (b) The continuous growth rate is

7 years ago

Find the hydrogen ion concentration for Ammonia, with a pH of 11.0. Hint: pH=−log[H+]. ________moles per liter

7 years ago

The idea that the English colonies could break the contract with their mother Country came from this Enlightened person

7 years ago

A person leaves her home and walks 6 miles due east and then 4 miles southeast?How far away from home is she?What is her net displacement(determine the magnitude and direction of the displacement vector)?

7 years ago

A women launches a boat from one shore of a straight river and wants to land at the point directly on the opposite shore. IF the speed of the boat is 10 mi/h and the river is flowing east at the rate of 5 mi/h, in what direction should she head the boat i...

7 years ago

For the vectors 4i +aj+6k and ai +(a-1)j +3k a.Is there any value of a for which these to vectors will be parallel? b)Cant these two vectors ever be parallel?

7 years ago

Find the value(s) of a making v =6ai−3j parallel to w =a^2i+9j . a=

7 years ago

Find the vector in ℝ^3 from point A=(x,y,z) to B=(−8,2,5).

7 years ago

typed the wrong questoin

7 years ago

Tried Both answers, it was still wrong

7 years ago