Q and A for the topic: General

3. If f(x) = 2x + 5 and g(x) = –3x + 14, what is the value of f(4) + g(17)? A.17 B. 41 C. 50 D.76 E. –24

Find the inverse function of f(x) = x5 − 2.

Reciprocal of -2 and 3/7

Suppose that Y varies directly as X and inversely as Z, and Y 🟰 9 when X 🟰 12 and Z 🟰 4. Solve for Y when X 🟰 45 and Z 🟰 5.

Communication and Thinking The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity, that do not include the mean as a max or min? For example, P of X is less than or equal to 52 is 50% is an interval we could estimate. However, it includes the mean as the maximum of the interval. Another example is P of 52 is less or equal to X is less or equal to 57 equals 34% as an example of a probability interval that we know from this activity, but it includes the mean as the minimum. Include at least 7 intervals and their probabilities.

Round 0.00032189 to three significant figures

4. The Old Towne Road Group sent its' top specialist, Tegan (aka Stat Buddees) to get information on why the Street Farmacyst plastic bottles did not explode under pressure. They selected 36 Street Farmacyst bottles and got a mean of twenty-six with a population standard deviation of 1.5. a. What is the maximum error? ( (2pt.) b. Help her construct an 80% confidence interval for the mean number of plastic bottles that did not explode under pressure. (3pts)

How long is a piece of cardboard? which has a sign 8.3 cm long aligned left 30 mm and right 4 cm?

A laser pointer is shined through air (n=1.0) and enters another medium at an angle of 45degrees. If the angle of refraction is 24°. What is the index of refraction of the medium.

2. Solve the following operation on rational numbers. [4/5:8/15 − (1 −3/4)] +3/8

2√27 − 3√125 + √48 − 5√80

1.) Find all zeros of the function f(x)=6x3−7x2−14x+8. and 2.) Given y=3x5−x4+9x3−3x2−12x+4, and that 2i is a zero, write y in factored form (as a product of linear factors). Be sure to write the full equation

Fernanda is studying for the entrance exam to optimize her time more and more, she evaluated the periods of breaks within the 10 hours a day that she has available to dedicate to her studies and discovered that she spends an hour and 30 minutes for lunch, 45 minutes compared to snack 30 minutes with bathroom breaks 30 minutes compared for hydration based on this information what is the percentage of time that Fernanda spends studying within these 10 hours

In a clothing factory there were 12 seamstresses who produced 100 pants in 5 days but with the crisis the owner had to fire four of them but soon after he received an order for 1,200 pants to be delivered in 30 days, how many seamstresses did he need to hire.

Apply the forcing function v(t) 60e−2t cos(4t + 10°) V to the RLC circuit in series of Figure 14.1 and specify the forced response by determining the values of Im and φ in the expression i(t) Ime−2t cos(4t + φ) in the domain of time

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

A 263-gram block is dropped on a vertical spring with a constant force a = 2.52 N / cm (Figure 20). The block sticks to the resource, and the resource is compressed 11.8 cm before momentarily coming to rest. While the resource is being compressed, how much work is done on (a) the force of gravity and (b) the resource? (c) What was the speed of the block immediately before it reached the resource? (d) If this initial velocity of the block is doubled, what is the maximum compression of the spring?

The ratio between the speed of the train and the plane is 2:15 if the speed of the plane is 600 km per hour. What is the speed of the train?

When factoring a polynomial in the form ax? + bx-c, where a, b, and c are positive real numbers, should the signs in the binomials be both positive, negative, or one of each? Create an example to verify your claim.

When factoring a polynomial in the form ax^2 + bx-c, where a, b, and c are positive real numbers, should the signs in the binomials be both positive, negative, or one of each? Create an example to verify your claim.