A 4.5-kg block of material floats on ethanol with 10 percent of its volume above the liquid surface. What fraction of the volume of this block will be submerged if it is floated on water?

Identify three types of cartilage.

What are the three types of feathers?

Use the factor theorem to show that $x-c$ is a factor of $f(x)$.

$$f(x) = x^3+x^2-11x+10 ; c = 2$$

Use the difference of two squares theorem to find all the solutions to the following equations: $x^{2}=5$

For the following, use the Binomial Theorem to write the first three terms of each binomial.

$(3 a+b)^{20}$

Is the conclusion of the The Second Mean-Value Theorem for Integrals valid if $g$ is negative throughout $[a,b]$? If so, prove it.

What volume does $5.02 \mathrm{~g}$ of helium occupy at STP? What volume would $42.1 \mathrm{~g}$ of argon occupy under the same conditions?

What are two types of intermediaries?

Use the Mean Value Theorem to prove that

$$\lim _{x \rightarrow \infty}(\sqrt{x}+2-\sqrt{x})=0$$

The weight and systolic blood pressure of 26 randomly selected males in the age group 25 to 30 are shown in the following table.

$$\begin{matrix} \text{Subject} & \text{Weight} & \text{Systolic BP} & \text{Subject} & \text{Weight} & \text{Systolic BP}\\ \text{1} & \text{165} & \text{130} & \text{14} & \text{172} & \text{153}\\ \text{2} & \text{167} & \text{133} & \text{15} & \text{159} & \text{128}\\ \text{3} & \text{180} & \text{150} & \text{16} & \text{168} & \text{132}\\ \text{4} & \text{155} & \text{128} & \text{17} & \text{174} & \text{149}\\ \text{5} & \text{212} & \text{151} & \text{18} & \text{183} & \text{158}\\ \text{6} & \text{175} & \text{146} & \text{19} & \text{215} & \text{150}\\ \text{7} & \text{190} & \text{150} & \text{20} & \text{195} & \text{163}\\ \text{8} & \text{210} & \text{140} & \text{21} & \text{180} & \text{156}\\ \text{9} & \text{200} & \text{148} & \text{22} & \text{143} & \text{124}\\ \text{10} & \text{149} & \text{125} & \text{23} & \text{240} & \text{170}\\ \text{11} & \text{158} & \text{133} & \text{24} & \text{235} & \text{165}\\ \text{12} & \text{169} & \text{135} & \text{25} & \text{192} & \text{160}\\ \text{13} & \text{170} & \text{150} & \text{26} & \text{187} & \text{159}\\ \end{matrix}$$

(a) Create a scatter diagram of the data. What do you anticipate will be the sign of the sample correlation coefficient? (b) Compute and interpret the sample correlation coefficient.

What are the 3 types of speciation?

Name two types of energy.

The end point of a titration indicates the

(a) acid point. (b) equivalence point. (c) base point. ( d) buffer region .