Give the domain and range of the relation. $\{ ( 12,2 ) ; ( 11,10 ) ; ( 18,0 ) ; ( 19,1 ) ; ( 13,4 ) \}$

In 1988 the shroud of Turin, a piece of cloth that some people believe is the burial cloth of Jesus, was dated using $^ { 14 } \mathrm { C }$. The measured $^ { 14 } \mathrm { C }$ activity of the cloth was about 0.23 Bq/g. According to this activity, when was the cloth in the shroud made?

Use L'Hopital's Rule to evaluate the limit.

$$\lim _{x \rightarrow 1} \frac{(\ln x)^{2}}{x-1}$$

A telescope has an objective with a refractive power of 1.25 diopters and an eyepiece with a refractive power of 250 diopters. What is the angular magnification of the telescope?

use the method of Problem 38 to solve the given differential equation. y'−2y=t2e2t

Six students measure the acceleration (in meters per second per second) of an object in free fall. The measured values are shown. The students want to state that the absolute deviation of each measured value x from the mean is at most d. Find the value of d.

$$10.56,9.52,9.73,9.80,9.78,10.91$$

Choose the best answer. A random sample of 200 New York State voters included 88 Republicans, while a random sample of 300 California voters produced 141 Republicans. Which of the following represents the 95% confidence interval that should be used to estimate the true difference in the proportions of Republicans in New York State and California? (a)

$$( 0.44 - 0.47 ) \pm 1.96 \frac { ( 0.44 ) ( 0.56 ) + ( 0.47 ) ( 0.53 ) } { \sqrt { 200 + 300 } }$$

(b)

$$( 0.44 - 0.47 ) \pm 1.96 \frac { ( 0.44 ) ( 0.56 ) } { \sqrt { 200 } } + \frac { ( 0.47 ) ( 0.53 ) } { \sqrt { 300 } }$$

(c)

$$( 0.44 - 0.47 ) \pm 1.96 \sqrt { \frac { ( 0.44 ) ( 0.56 ) } { 200 } + \frac { ( 0.47 ) ( 0.53 ) } { 300 } }$$

(d)

$$( 0.44 - 0.47 ) \pm 1.96 \sqrt { \frac { ( 0.44 ) ( 0.56 ) + ( 0.47 ) ( 0.53 ) } { 200 + 300 } }$$

(e)

$$( 0.44 - 0.47 ) \pm 1.96 \sqrt { \frac { ( 0.45 ) ( 0.55 ) } { 200 } + \frac { ( 0.45 ) ( 0.55 ) } { 300 } }$$

Graph each line. Rewrite the equation in standard form if necessary. 3(x + y) - 2(x - y) = 5(8 + 3y)

Choose which of the following best reflects the symbiotic relationships between animals and fungi. a. Protection from bacteria b. Colonization of land c. Protection from desiccation d. Exchange of nutrients

Solve the equations using the quadratic formula. $6 x^{2}+6 x+1=0$

Write as a single power of 2: $2 \times 2^{a}$

How can the word in parenthesis be unscrambled to complete the sentence? En el consultorio habla con el _____ porque le duele el estómago. (édmoci)

Find the fifth term and the nth term of the geometric sequence whose initial term $a_{1}$ and common ratio r are given. $a_{1}=\sqrt{2} ;\ r=\sqrt{2}$

Verify that $3 g h \sqrt { 275 g ^ { 7 } h ^ { 9 } }$ can be simplified to $15 g ^ { 4 } h ^ { 5 } \sqrt { 11 g h }$