21,201 Answered Questions for the topic algebra 2
Number/Geometry Problems
Eleven times the sum of a number and ten is 242. What is the number?
Algebra 2 Geometry
02/14/23
Number/Geometry Problems
A rectangular room is 2 meters longer than it is wide, and its perimeter is 24 meters. Find the dimension of the room.The length is :_______ meters and the width is ______ meters.
Algebra 2
02/13/23
Formula - Math116
Let f(x)=2√x. If g(x) is the graph of f(X) shifted up 1 units and left 3 units, write a formula for g(x). g(x)=?
Algebra 2
02/13/23
Describe this function
Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor of 9, then shifting the graph of f to the right 3 units and upward 6 units....
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Algebra 2
02/13/23
The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, the square of the depth, d, and inversely as the length, l. A wooden beam 9 in.
The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, the square of the depth, d, and inversely as the length, l. A wooden beam 9 in. wide, 9 in. deep, and 17 ft...
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What is the percentage, to the nearest tenth, of 29-year olds with some degree of heart disease?
The function P(x)= 120/1+372e^-0.133x models the percentage, P(x), of Americans who arex years old and have some degree of heart disease.
A car purchased for $9,000 depreciates at a constant rate of 16.5%. What will be the value of the car in 6 years.
A car purchased for $9,000 depreciates at a constant rate of 16.5%. What will be the value of the car in 6 years.The Value in 6 years is $_________. Round answer to 2 decimal places
Algebra 2
02/13/23
Write a polynomial function P(x) with rational coefficients so that P(x)=0 has the given roots
-5-7i and 2-\sqrt(11)
Find how much money needs to be deposited now into an account to obtain $6,200 (Future Value) in 15 years if the interest rate is 5% per year compounded continuously.
Find how much money needs to be deposited now into an account to obtain $6,200 (Future Value) in 15 years if the interest rate is 5% per year compounded continuously.Round your answer to 2 decimal...
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Determine the approximate value of the vehicle years after purchase.
A vehicle purchased for $25000 depreciates at a constant rate of 7%Round to the nearest whole number.
What is the doubling time for the investment? Round answer to 1 decimal place.
The amount of money in an investment is modeled by the function A(T)=650(1.0455)^T. The variable A represents the investment balance in dollars, and T the number of years.
The Function F(T)=575,000/1+4000e^-T
describes the number of people, F(T) , who have become ill with ebola T weeks after the initial outbreak in a particular community.How many people became ill with ebola when the epidemic began?How...
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Algebra 2
02/13/23
Find k so that the line through (−5,2) and (k,4) is a) parallel to 3y−2x=8 ;b) perpendicular to 2y+5x=7.
$10000 is deposited in an account earning 8% interest compounded continuously.
Use the continuous interest formula below to determine how long it takes for the amount in the account to double. A=Pe^rt. Round answer to 2 decimal places.____ Years?
In April 1986, a flawed reactor design played a part in the Chernobyl nuclear meltdown.
Approximately 14252 becqurels (Bqs), units of radioactivity, were initially released into the environment. Only areas with less than 800 Bqs are considered safe for human habitation.The function...
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Algebra 2
02/13/23
How can you determine the type of solution to a system of linear equations WITHOUT graphing, using substitution, or elimination?
You deposit $9000 in an account earning 5% interest compounded continuously.
The amount of money in the account after T years is given by A(T)=9000e^0.05THow much will you have in the account in 14 years? round your answer to 2 decimal places.I got 18123.77437 for the...
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Algebra 2
02/13/23
One-to-one functions
The one-to-one functions g and h are defined as follows.
g={(-8,-4), (-2,-7), (3,7), (7,3)}
h(x)=-x+13/5
Find the following.
(a) g^-1(7)
(b) h^-1(7)
(c) (h*h^-1(3)
Algebra 2
02/12/23
Finding complementary angle in geometry
An angle measures 40° less than the measure of its complementary angle. What is the measure of each angle?
Algebra 2
02/12/23
Sounds like a weird question but I'd appreciate the help!
If you have 1,980,000,000 boxes that are one cubic foot each in size, what sized container would it take to hold all these boxes?
02/12/23
Let B = [201|020|102] (3x3 matrix)
(a) What does the Spectral Theorem guarantee about the matrix B?(b) Find the eigenvalues and eigenvectors of B.(c) Assume that f(x,y,z) = x2 +y2 +z2 +xz has a critical point at (0,0,0). Is f(0,0,0)...
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Algebra with science
The weight of a body above sea level varies inversely with the square of the distance from the center of Earth. If a woman weighs 144 pounds when she is at sea level, 3960 miles from the center...
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02/12/23
Algebra with science
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters when the pressure is 250 millimeters...
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