03/13/21

Consider the function f(x)= 3^x and the function g(x)= log_3 x. Please complete the 3 part question below.
a) find (f o g)(x)b) find (g o f)(x)c) justify that f^-1(x) = g(x) and g^-1(x)= f(x)
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03/13/21

word problem solving
If 4 gallons of 10% salt solution is added to 6 gallons of 20% salt solution what percent salt willthe mixture be?
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03/13/21

A parallelogram has diagonals of lengths 26cm and 12cm. If the diagonals bisect to form a 30° angle, find the perimeter of parallelogram ABCD.
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03/13/21

In triangle ABC, a = 12, b = 13 and c = 5, find the length of the median from A.
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03/12/21

Precalculus Question
A bacteria culture initially contains 2500 bacteria and doubles every half hour.a. Find the size of the bacterial population after 80 minutes. __?b. Find the size of the bacterial population after... more
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03/12/21

Precalculus Question
The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain after 4000 years? ___?
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03/12/21

10th grade algebra help
1. Kyle throws a baseball straight up from a height of 5 feet with an initial speed of 41 feet per second What is the maximum height of the baseball?A. 1.281ftB. 5ftC. 18.133ftD. 31.266ft2. Phillip... more
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03/11/21

small corporation borrowed $1,500,000
small corporation borrowed $1,500,000 To expand their business. Some was borrowed at 7%, some at 8% and some at 10% for a total of 130,500 and interest. The amount borrowed at 10% was four times... more
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03/11/21

A 8-in pizza is cut into 12 equal slices. About how many square inches of pizza are in each slice? Round to the nearest square inch.
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03/11/21

Write the polynomial equation for the roots: -1 with a multiplicity of 2, 0, & 9
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03/08/21

Form a polynomial​ f(x) with real coefficients having the given degree and zeros. Degree​ 4; ​ zeros:4 ​, multiplicity​ 2; 3i
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03/08/21

An particle’s velocity is given by  v(t)=sin(x)+x^2 What’s the position function during t>or=0?
I know we need to find the antiderivative of the velocity function and I got -cos(x) +x^3/3+C However, the question asked for a position function at t larger or equal to 0. I’m not sure how can I... more
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03/06/21

Use long division and the Remainder Theorem to evaluate P(c), where
Use long division and the Remainder Theorem to evaluate P(c), whereP(x)=X3-9x2+17x-10, c=2The quotient is =The remainder is  =p(c)=
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03/06/21

Two trains leave towns 855 miles apart at the same time and travel toward each other. One train travels 21 m/h faster than the other. If they meet in 5 hours, what is the rate of each train?
Rate of the faster train mi/h? mi/hRate of the slower train mi/h?mi/h
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03/06/21

Use synthetic division to find the quotient and remainder
Use synthetic division to find the quotient and remainder when f(x)=-8x4 -1x3-5x2-7x+7 is divided by g(x)=x-4The quotient isthe remainder is
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03/04/21

Write a quadratic function f shoes zeros are -3 and 10
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03/04/21

Solve the equation for x (restriction between 0 less than or equal to x<2pi )
1.2sinx+3=22.1-cosx=1/23.tanx+1=04.4cos^2x=15.cos^2x+cosx=0
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03/03/21

Pre-calc help question

Express as a single logarithm 1/2 log(𝑥 − 1) + 7log 𝑥 − 1/3 log(𝑥 + 2) − 2 log 4
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03/03/21

Slope of the tangent to the curve 2x^3 y^2-5x^2 y+2=0 at P(1,2)
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03/03/21

Calculus, Derivatives
Let f(x) = 2( 4th root of x5) / 5 − 9πx.(a) Determine f'(x) and f''(x).(b) Use your answer from part (a) to determine if the graph of f(x) is concave up orconcave down at x = 1
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03/02/21

A large soup can is to be designed so that the can will hold 50 cubic inches (about 28 ounces) of soup. Find the dimensions that will minimize the cost of the metal to manufacture the can.
(An illustration would gladly help) ;)
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03/02/21

find the amplitude, the midline is y= ( ? ), the period of h(t) is ( ? )
A Ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel... more
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03/02/21

A ball is thrown up on the surface of a moon. Its height above the lunar surface (in feet) after t seconds is given by the formula
A ball is thrown up on the surface of a moon. Its height above the lunar surface (in feet) after t seconds is given by the formulah=559t−13/4*t^2.Find the time that the ball reaches its maximum... more
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02/28/21

Suppose that the average cost, in dollars, of producing a shipment of a certain product is c(x) = 2000x+ 8000/x , x > 0
Suppose that the average cost, in dollars, of producing a shipment of a certain product is c(x) = 2000x+ 8000/x , x > 0A) Over what interval does the average cost decrease? (Enter your answer... more
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02/28/21

Show that the tangent to the curve is also the tangent to the curve at another point.
Show that the tangent to the curve Y=(x2 + x - 2)3 + 3 at the point (1 , 3) is also the tangent to the curve at another point.I know how to find the equation but how do I show that the tangent is... more
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