A satellite that always looks down at the same spot on the Earth’s surface is called a geosynchronous satellite. a. Find the distance of this satellite from the surface of the Earth. b. Could the satellite be looking down at any point on the surface of the Earth?

In general, reptiles can carry more body mass than amphibians because (A) they have a higher body temperature. (B) they do not live any portion of their lives in water. (C) their limb bones are stronger than those of amphibians. (D) their embryos can develop outside water. (E) their skin is dry and scaly.

Indicate the meaning of the prefix. Centi

A satellite in geostationary orbit stays over the same spot on Earth. The satellite completes one orbit in the same time that Earth rotates once about its axis (23.93 hours). If the satellite's orbit has radius $4.23 \times 10^7 \mathrm{~m}$, calculate the satellite's orbital speed (tangential velocity) in meters per second.

Let

$$J _ { 5 } = \{ 0,1,2,3,4 \}$$

, and define a function

$$F : J _ { 5 } \rightarrow J _ { 5 }$$

as follows: For each

$$x \in J _ { 5 } , F ( x ) = \left( x ^ { 3 } + 2 x + 4 \right)$$

mod 5. Find the following: a. F(0), b. F(1), c. F(2), d. F(3), e. F(4)

According to Kepler’s second law, where in a planet’s orbit would it be moving fastest? Where would it be moving slowest?

Pedro ran 2 more than

$$\frac { 3 } { 4 }$$

the number of miles that Cierra ran. Which equation represents the relationship between the number of miles p that Pedro ran and the number of miles c that Cierra ran?

$$\left. \begin{array} { l } F.{ c = \frac { 3 } { 4 } p + 2 } \\ G.{ p = \frac { 3 } { 4 } c + 2 } \end{array} \right. \quad \left. \begin{array} { l } H.{ c = \frac { 3 } { 4 } p - 2 } \\ I.{ p = \frac { 3 } { 4 } c - 2 } \end{array} \right.$$

Evaluate each expression when $a=-3$ and $b=4$ $\quad a b^{2}$

Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance

$$\alpha$$

. Right-tailed test,

$$n = 27, \alpha = 0.05$$

Solve each equation. -4 x+5=33

Which number in each pair is farther away from zero? 4,-5

Use the following information. The chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For example, when the number of successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are 2 : 3 (read "2 to 3") or

$$\frac { 2 } { 3 }$$

. A beverage company puts game pieces under the caps of its drinks and claims that one in six game pieces wins a prize. The official rules of the contest state that the odds of prize are 1 : 6. Is the claim "one in six game pieces wins a prize" correct? Explain your reasoning.

Show that a

$$6 \times 4$$

matrix A with nullity(A) = 0 must have

$$\text { rowspace } ( A ) = \mathbb { R } ^ { 4 } .$$

Is

$$\text {colspace}( A ) = \mathbb { R } ^ { 4 } ?$$

write the first five terms of the arithmetic sequence. a1 = -13/5, d = - 2/5