The following formula models the number of prison inmates, P, in thousands, who are in U.S. prisons x years after 1980. P=2x2+16x+314 Find the first year in which the population of U.S. prisons was approximately 1082 thousand people. Answer: The population reached 1082 thousand people in the year _____

Q: During the first year with a company, Finley was paid an annual salary of $56,000, with a 6% raise…

A: Given that, the annual salary is $56,000, the interest rate is 6% per year. Note that, the formula…

Q: A model for the number N of people in a college community who have heard a certain rumor is N = P(1…

A: We have, A model for the number N of people in a college community who have heard a certain rumour…

Q: n%=D80-16

A: Given n=80-16t^2 We have to solve for t as shown below

Q: When 400 mg of the painkiller ibuprofen is swallowed, the number of milligrams n in the bloodstream.…

A:

Q: A culture of bacteria has an initial population of 920 bacteria and doubles every 7 hours. Using the…

A: We will use the given formula that determines the population after t hours to find the population…

Q: If a person is 64 inches tall how would you use the following formula to predict their weight?

A: From the given information, the regression equation is, Here, the values of a and b,   From the…

Q: Use the formula for nPr to solve:Nine bands have volunteered to perform at a benefit concert, but…

A: Given: we have given 9 bands available. out of which five-band can  play

Q: The value Vof a car is measured iN dollars and is given by the formula V:50,000 (2.134 age of the…

A:

Q: Solve the following equation for x 3x + 4 = 81 9

A: We have to find

Q: A rock falls from a tower that is 160 feet high. As it is falling, its height is given by the…

A: Here we will calculate the the time required for rock to hit the ground,

Q: The following formula models the number of automobiles, A, in thousands, that Washington residents…

A:

Q: The number N of employees at a company can be approximated by the equation N(x) = 22,439(1.476)*,…

A: First find the value of x than substitute in the given equation than simplify. In second part take…

Q: Solve the equation below for x. 13(x – 15) = 9

A: The equation is 13(x – 15) = 9.

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 6. 18

A:

Q: San Francisco's population has been declining since the "dot com" bubble burst. In 2002 the…

A: Given:population in 2002=776000declining rate=1.5% per year

Q: The number N of employees at a company can be approximated by the equation N(x) 22,972(1.404)",…

A: Please see the answer in step 2

Q: A rock falls from a tower that is 208 feet high. As it is falling, its height is given by the…

A:

Q: Solve the following a) 2x-1s 13

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: the number of people in a small town who are reached by a rumor about the mayor and an intern is…

A:

Q: The number of milligrams of a radioactive substance present after t years is given by the following…

A:

Q: The formula below is used to convert a temperature in degrees Celsius, C, to a temperature in…

A: Algebra

Q: The number of bacteria in a culture is given by the formula B (t) = 2000000e0.025t where B is the…

A: The half life of a quantity is the time period requited for that quantity  to reduce to half of its…

Q: If a ball is thrown upward at 96 feet per second from the top of a building that is 120 feet high,…

A: Consider that a ball is thrown upward from the top of a 120 feet high building with an velocity of…

Q: Solve the following equation for x. 25x = 8• 26x x= (Type an integer or a simplified fraction.)

A: We write both sides as exponent of 2.25x=8·26x25x=23×26x25x=23+6x

Q: A magazine relies on journalists to submit their articles to be used in their latest bl-monthly…

A:

Q: in one US town the annual consumption, b, of beef (in kg per person) can be estimated by = -1/3t +…

A: b=-13t+21

Q: 3. "Crazy drunk drivers."-Guy sleeping on bench in Back To The Future While you're driving, a…

A: Given 's' is the speed of car in miles per hour.  And 'd' is the distance travelled by the car after…

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P=14.7e−0.21x, where…

A: Given p=14.7e-0.21x      8.282=14.7e-0.21x         x=8.282-14.7e-0.21        x=150.84 miles

Q: The height of a football kicked straight up into the air in feet is given by the formula h = -16t? +…

A:

Q: Solve the given equation for x. 620 – 4 : 42

A:

Q: Another way to calculate the menu number is 13+23+ 33 + ... + n3. Can you validate both methods for…

A: Menu number is calculated in two possible ways. We have to prove that it is same in both the…

Q: BK] Solve the following for x: 42x+2 – 16(x²+6x+7)

A: We will find out the required value.

Q: In a psychology experiment, rats were placed in a T-maze, and the proportion of rats who required…

A: Given integral is for more than t seconds.  We have to find the proportion of more than 8 seconds.…

Q: If a body is thrown upwards, the height in meters above the ground after t seconds is obtained by…

A:

Q: Rearrange the following to make x the subject of the formula: z2=y2-x2

A: Re arranging the formula to make x the subject involves re arranging the given formula in such a way…

Q: 2x-31:7

A: Given equation: 2x-3=7 We have two conditions for the above expression, 2x−3=7 ......(condition I)…

Q: Q5) Solve the following 1 1) 4 4

A: (1).  The given inequality is: 110x+7≤10 Now on simplifying this inequality: 10x+7≥110⇒10x+7≤ -110…

Q: Katie has a headache, and takes 650 mg of Tylenol. The amount, A, of Tylenol remaining in her body…

A: Given: Katie has a headache, and takes 650 mg of Tylenol. The amount, A, of Tylenol remaining in her…

Q: The formula for throwing a baseball in the air is represented by h =-16t+12t + 40 where h is the…

A: Given equation h=-16t2+12t+40When the ball hits the ground then h=0-16t2+12t+40=016t2-12t-40=0.We…

Q: The following formula is used in economics to find a compan the variable cost per unit, S is the…

A: Given equation÷ N= S • (P - V) - F

Q: 6: What if your hundred dollars share instead lost 4% per year? what does this formula look like?…

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: The height, H, in feet, of an object dropped from the top of a building after t seconds is given by…

A: The height of the object dropped from the top of the building is given by H(t)=-16t2+144.

Q: Solve the following: [3x 25 + 13 x (-2)]+7[8 – (4 – 9)]

A: Consider the expression: 3×25+13×−2+78−4−9Simplify using…

Q: According to an educational psychologist, the number of words learned by a student of a foreign…

A: We have to find

Q: 32х-1 =7

A:

Q: If a ball is thrown upward at 128 feet per second from the top of a building that is 140 feet high,…

A:

Q: If an object is shot upward with an initial velocity, vo, in feet per second (ft/s), the velocity,…

A: Given that if an object is shot upward with an initial velocity, v0, in feet per second (ft/s), the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.