Batteries gradually lose voltage. A circuit contains 2 ohms of resistance and an old 9-volt battery. Four amps of current run through the circuit. What is the actual voltage?

_____ comes in many forms, including food and heat.

In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

What is credibility? What two factors exert the most influence on an audience’s perception of a speaker’s credibility?

Date of Steve Prefontaine's death?

Determine whether the study is an observational study or an experiment. Explain. (a) Researchers conduct a study to determine whether body mass index (BMI) influences the frequency of migraines. To conduct the study, researchers asked 162,576 people for their BMIs and the numbers of migraines they have per month. (b) Researchers conduct a study to determine whether taking a multivitamin daily decreases the risk of major cardiovascular events among men. To perform the study, researchers studied 14,641 men and had one group take a multivitamin daily and had another group take a placebo daily.

Because a perfectly competitive employer’s MRC curve is ______________, it will hire ______________ workers than would a monoposony employer with the same MRP curve.

a. Upsloping; more.

b. Upsloping; fewer.

c. Flat; more.

d. Flat; fewer.

e. Downsloping; more.

f. Downsloping; fewer.

Verify that the third Maclaurin polynomial for f(x)=e$^x$sinx is equal to the product of the third Maclaurin polynomials of f(x)=e$^x$ and f(x)=sinx (after discarding terms of degree greater than 3 in the product).

Fill in the blank spot in the following sentence.

The science of $\underline{\phantom{\text{justekst}}}$ studies the relationship between living things and their environment.

If the length of the diagonal of a rectangular box must be $L,$ what is the largest possible volume? Use Lagrange multipliers to give an alternate solution.

How many pairs of each type of angles do two lines and a transversal form? alternate interior angles

A beam is carried by three workers, one worker at one end and the other two supporting the beam between them on a crosspiece so placed that the load is equally divided among the three. Find where the crosspiece is placed. Neglect the mass of the crosspiece.

Name the five kinds of taste that humans are able to detect. What other factors are involved in taste?

Verify that the third Maclaurin polynomial for

$$f ( x ) = e ^ { x } \sin x$$

is equal to the product of the third Maclaurin polynomials of

$$f ( x ) = e ^ { x }$$

and f(x) = sin x (after discarding terms of degree greater than 3 in the product).