Filters
Question type
Study Flashcards

Graph the function using translations. f(x) =3x+1f ( x ) = 3 ^ { x + 1 }


A) Graph the function using translations. f ( x ) = 3 ^ { x + 1 } A) B) C) D)
B) Graph the function using translations. f ( x ) = 3 ^ { x + 1 } A) B) C) D)
C) Graph the function using translations. f ( x ) = 3 ^ { x + 1 } A) B) C) D)
D) Graph the function using translations. f ( x ) = 3 ^ { x + 1 } A) B) C) D)

Correct Answer

verifed

verified

Find the value of b, if any, that would cause the graph of y=log⁡bxy = \log _ { b } x to look like the graph shown. Find the value of b, if any, that would cause the graph of y = \log _ { b } x to look like the graph shown. A) b = 3.5 B) b = 4.5 C) b = 2 D) b = 4 E) b = 1


A) b = 3.5
B) b = 4.5
C) b = 2
D) b = 4
E) b = 1

Correct Answer

verifed

verified

Write the logarithmic equation in exponential form. log⁡7343=3\log _ { 7 } 343 = 3


A) 7343=27 ^ { 343 } = 2
B) 73=777 ^ { 3 } = 77
C) 73=3437 ^ { 3 } = 343
D) 73=147 ^ { 3 } = 14
E) 3437=2343 ^ { 7 } = 2

Correct Answer

verifed

verified

Select the correct graph for the given function y=5e−(x−2) 2/5y = 5 e ^ { - ( x - 2 ) ^ { 2 } / 5 }


A) Select the correct graph for the given function y = 5 e ^ { - ( x - 2 ) ^ { 2 } / 5 } A) B) C) D) E)
B) Select the correct graph for the given function y = 5 e ^ { - ( x - 2 ) ^ { 2 } / 5 } A) B) C) D) E)
C) Select the correct graph for the given function y = 5 e ^ { - ( x - 2 ) ^ { 2 } / 5 } A) B) C) D) E)
D) Select the correct graph for the given function y = 5 e ^ { - ( x - 2 ) ^ { 2 } / 5 } A) B) C) D) E)
E) Select the correct graph for the given function y = 5 e ^ { - ( x - 2 ) ^ { 2 } / 5 } A) B) C) D) E)

Correct Answer

verifed

verified

Solve the exponential equation algebraically.Approximate the result to three decimal places. 2x−5=162 ^ { x - 5 } = 16


A) 10
B) 11
C) 9
D) -9
E) 12

Correct Answer

verifed

verified

Determine whether the given x-value is a solution (or an approximate solution) of the equation. 45x−5=256x=2\begin{array} { l } 4 ^ { 5 x - 5 } = 256 \\x = 2\end{array}

Correct Answer

verifed

verified

Find the exact value of log⁡444−log⁡411\log _ { 4 } 44 - \log _ { 4 } 11 without using a calculator.


A) 1
B) 4
C) 11
D) 112\frac { 11 } { 2 }
E) 12\frac { 1 } { 2 }

Correct Answer

verifed

verified

Solve for x: 7(10x−3) =237 \left( 10 ^ { x - 3 } \right) = 23 .Round to 3 decimal places.


A) 0.517
B) no solution
C) 3.517
D) -1.362
E) 1.362

Correct Answer

verifed

verified

Rewrite the exponential equation 4−2=1164 ^ { - 2 } = \frac { 1 } { 16 } in logarithmic form.


A) log⁡4116=−2\log _ { 4 } \frac { 1 } { 16 } = - 2
B) log⁡216=−2\log _ { 2 } 16 = - 2
C) log⁡416=−2\log _ { 4 } 16 = - 2
D) log⁡164=−2\log _ { 16 } 4 = - 2
E) log⁡4116=2\log _ { 4 } \frac { 1 } { 16 } = 2

Correct Answer

verifed

verified

$5500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.) r=0.0540r = 0.0540


A) 13.84 yr
B) 10.84 yr
C) 12.84 yr
D) 11.84 yr
E) 14.84 yr

Correct Answer

verifed

verified

Evaluate the function f(x) =−3.752ln⁡xf ( x ) = - 3.752 \ln x at x=4x = 4 .Round to 3 decimal places.(You may use your calculator.)


A) -5.201
B) 5.201
C) undefined
D) -2.709
E) 0.369

Correct Answer

verifed

verified

A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones.The numbers of cell sites from 1985 through 2008 can be modeled by y=237,1011+1950e−0.355ty = \frac { 237,101 } { 1 + 1950 e ^ { - 0.355 t } } where t represents the year, with t=5t = 5 corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 .


A) 211,071
B) 209,071
C) 208,071
D) 207,071
E) 210,071

Correct Answer

verifed

verified

Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 9+2ln⁡x=49 + 2 \ln x = 4


A) e−5/2≈1.082e ^ { - 5 / 2 } \approx 1.082
B) e−5/2≈−0.918e ^ { - 5 / 2 } \approx - 0.918
C) e−5/2≈−1.918e ^ { - 5 / 2 } \approx - 1.918
D) e−5/2≈0.082e ^ { - 5 / 2 } \approx 0.082
E) e−5/2≈2.082e ^ { - 5 / 2 } \approx 2.082

Correct Answer

verifed

verified

Determine whether the given x-value is a solution (or an approximate solution) of the equation. 43x−10=16x=4\begin{array} { l } 4 ^ { 3 x - 10 } = 16 \\x = 4\end{array}

Correct Answer

verifed

verified

Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years.Of an initial sample of 33 grams, how much will remain after 69 years? ​


A) 0 grams
B) 29.1351 grams
C) 10.9074 grams
D) 8.2500 grams
E) 0.6973 grams

Correct Answer

verifed

verified

The number y of hits a new search-engine website receives each month can be modeled by y=4080ekty = 4080 e ^ { k t } where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months.


A) k=0.2988k = 0.2988 ; About 184,894,691,979 hits
B) k=0.2988k = 0.2988 ; About 2,921,047 hits
C) k=0.2988k = 0.2988 ; About 22,832,533,585 hits
D) k=0.2988k = 0.2988 ; About 57,970,933 hits
E) k=0.2988k = 0.2988 ; About 1,150,488,266 hits

Correct Answer

verifed

verified

Write the exponential equation e5/2=12.1825…e ^ { 5 / 2 } = 12.1825 \ldots in logarithmic form.


A) 2.303log⁡(52) =12.1825…2.303 \log \left( \frac { 5 } { 2 } \right) = 12.1825 \ldots
B) log⁡10(12.1825…) =52\log _ { 10 } ( 12.1825 \ldots ) = \frac { 5 } { 2 }
C) ln⁡(52) =12.1825…\ln \left( \frac { 5 } { 2 } \right) = 12.1825 \ldots
D) ln⁡(12.1825…) =52\ln ( 12.1825 \ldots ) = \frac { 5 } { 2 }
E) ln⁡(5) =12.1825…2\ln ( 5 ) = \frac { 12.1825 \ldots } { 2 }

Correct Answer

verifed

verified

Use the One-to-One Property to solve the following equation for x. (13) 8x−1=27\left( \frac { 1 } { 3 } \right) ^ { 8 x - 1 } = 27


A) 12\frac { 1 } { 2 }
B) −14- \frac { 1 } { 4 }
C) 13\frac { 1 } { 3 }
D) −38- \frac { 3 } { 8 }
E) 18\frac { 1 } { 8 }

Correct Answer

verifed

verified

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places. ​ Log9 0.1 ​


A) 2.952
B) -0.048
C) -1.048
D) 1.952
E) 0.952

Correct Answer

verifed

verified

Select the graph of the exponential function. f(x) =2−x2f ( x ) = 2 ^ { - x ^ { 2 } }


A) Select the graph of the exponential function. f ( x ) = 2 ^ { - x ^ { 2 } } A) B) C) D) E)
B) Select the graph of the exponential function. f ( x ) = 2 ^ { - x ^ { 2 } } A) B) C) D) E)
C) Select the graph of the exponential function. f ( x ) = 2 ^ { - x ^ { 2 } } A) B) C) D) E)
D) Select the graph of the exponential function. f ( x ) = 2 ^ { - x ^ { 2 } } A) B) C) D) E)
E) Select the graph of the exponential function. f ( x ) = 2 ^ { - x ^ { 2 } } A) B) C) D) E)

Correct Answer

verifed

verified

Showing 41 - 60 of 266

Related Exams

Exam 1

Functions and Their Graphs

513 Questions

Exam 2

Polynomial and Rational Functions

456 Questions

Exam 4

Trigonometry

384 Questions

Exam 5

Analytic Trigonometry

265 Questions

Exam 6

Additional Topics In Trigonometery

304 Questions

Exam 7

Systems Of Equations and Inequalities

305 Questions

Exam 8

Matrices and Determinants

283 Questions

Exam 9

Sequences Series and Probability

405 Questions

Exam 10

Topics In Analytic Geometry

556 Questions

Exam 11

Analytic Geometry In Three Dimensions

256 Questions

Exam 12

Limits and An Introduction To Calculus

259 Questions

Show Answer