# Pre- Calculus

21,247 results, page 91

### Pre Cal

a radio actice substance decays so that half of the substance decays every 2 minutes. if 100 g of the substance are present initially, how many grams will be present after 4 minutes and 8 minutes respectively?

### Math- Pre calc

A 60 foot antenna stands on top of a building. From a point on the ground, the angle of elevation to the top of the antenna measures 48 degrees and 39 degrees to the top of the building. How tall is the building?

### pre algebra

A ladder is leaning against a house. The distance between the base of the ladder to the house is 3 feet. The length of the ladder is 10 feet. In feet, how far above the ground does the ladder touch the house? 4.2 9.5 10.4 14.1

### pre calc

the volume of a gas varies inversely as its pressure and directly as its temperature. A certian gas occupies a volume of 2.3L at a temp of 380 K and a pressure of 20 N/cm^2 find the volume when the temp is 342 K and the pressure is 10 N/cm^2

### pre calc

Carson wants to invest $100,000 in two ways. He wants to purchase a certificate of deposit that pays 11% per year and invest the rest in coorporate bonds that pay 15% per year. He is looking for a total return of 12%. How much money should Carson place into each investment ...

### Math/Pre Algebra HELP ME!

1. What are the coefficients in the polynomial 5x^2 + 2x - 4? A. 5,2 B. -5,2 C. 5,2,-4 ** D. 5,-2,-4 For questions 2 and 3 add or subtract. 2. (m^2 - m - 4) + (m - 5) A. m^2 - 2m + 9 B. m^2 + 2m - 9 C. m^2 - 2m - 9 ** D. m^2 - 9 3. (5x^2 + x - 3) - (-2x^3 + 4) A. -2x^3 + 5x^2...

### pre calc

The number N of bacteria in a culture at time t (in hours) grows exponentially according to the function N(t) = 1000e^0.01t When will the number of bacteria reach 1700? I though you would do 1700=1,000^e0.01t and solve for t but i keep getting the wrong answer can someone ...

### pre-algebra

You split $1500 between two savings accounts. Account A pays annual 5% interest and Account B pays 4% annual interest. After one year,you have earned a total of $69.50 in interest. How much money did you invest in each account?

### Pre-Algebra

Scatter plots are used to look for a pattern of association, or trend, between one set of values two sets of values three sets of values four sets of values My answer: two sets of values

### Calculus

The ideas we are practicing in these exercises can be put to practical use. A calculus teacher's son likes to shoot arrows. He was wondering at what speed the arrow leaves the bow when it is released. So they went to a large deserted beach at the Great Salt Lake and shot the ...

### Pre- Algebra

1. What is (-7)^5 in expanded form? 2. Simplify the expression. (-3)^4 a. 81 b. -81 c. -12 d. 12 3. Which expression is equivalent to 4x4x4x4x4x4x4x4? a. 4 x 8 b. 8^4 c. 8x8 d. 4^8 4. 2/3 x 1/2? Simplify to lowest terms 5. Solve 1/6 / 2/6 6. Which of these numbers is ...

### Pre algebra Am I right??

A six sided number cube is rolled and a coin is flipped. What is the probability that the number on the cube is less than 4 and the coin lands on heads. I worked it out and I think I am right but I would like for someone to double check it for me. 1/2 * 1/2 is .25 which is 1/4...

### Pre-algebra

Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two integers. Help him ...

### pre- cal

An antenna is on a hill that makes a 5 degree angle with the horizon. The antenna is placed so that it is perpendicular to the horizon. A guy wire extends from the top of the antenna to a point 50 ft downhill from the base of the antenna. If the antenna is 25 ft tall, what is ...

### Pre Cal

a function f is defined as f(x)= square root of (x+4). a) identify the domain of the function b) identify the range of the function c)Compute the intercept d) compute the x intercept E) sketch a graph of the function

### pre cal

The domain of y=g(x) is −1≤x≤11 and the range is −13≤y≤16. Give both the domain and range of the following two functions as inequalities. (a) y=g(12x) (b) y= 3g(x)

### Pre algebra

A tree casts a shadow 30 feet long. at the same time of day, 5.5- foot-tall Person casts 5 feet long.how tall is the tree?

### Pre Algebra

A number is divided by -4, then multiplied by -5. The result is 40. What is the number? I had problem finding a formula for it. And this one was also like it. A number is multiplied by -8, then divided by -4. The result is 4. What is the number?

### pre-algebra

Solve the equation- w(-2)=14 m-7= -3 -3h= -42 Here are some basic rules you need to follow. Get all your numerical terms on one side of the equation by doing the same process on both sides of the equation. w(-2) /-2 = 14/(-2) The -2 terms on the left cancel each other out to ...

### Pre Algebra

I am doing an ice cream cone project for math on cones and had to figure out the surface area for them, but there is a question that is "how to the surface and lateral area of each relate?" my teacher said you will see a pattern but i dont. i.e. sa= 13,293.5 and la= 10,831.7 ...

### Pre calc 12 urgent help pls!

Radioisotopes are used to diagnoa various illnesses. Iodine-131 is adminsitred to diagnoaw thyriod gland activity. Original dosage contains 280 MBq of Iodine-131. If. One is lost from body then after 6h, there r 274 MBq. What is half life of I-131 to the nearest day.

### Stat 1

In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b...

### pre calc 12

During intermission, at a hockey game, small foam hockey pucks are launched from a height. How long is a puck in the air if a student in the stands catches it on its way down 12m above ice lvl? The model for the vertical motion of the puck can be approximated by the relation h...

### pre- algebra

The perimeter of a triangle is 24 cm. One side is 2 cm longer than the shortest side. The longest side is 2 cm less than twice the length of the shortest side. Find the length of each side of the triangle.- write equation and solve.

### calculus

Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the x-axis. If the tangent point is close to the y-axis, the line segment is long. If the tangent point is far from the y-axis, the line ...

### pre-cal

The sq root of -4 (3-sq root of -9) a)6 +6i b)-6+6i c)6-6i d)-6-6i Again the i's are in italics. I would think that c and d could be eliminated because the answer is suppose to be in the form a + bi but they could be trting to trick you. I'm not quite sure what your problem is...

### Pre-Algebra

Can U Just Check My Answer Please! Thank You Guys :D Complete the sentence below. Scatter plots are used to look for a pattern of association, or trend, between ____________ A) one set of values. B) two sets of values. C) three sets of values. D) four sets of values. My Answer: B

### Pre-Algebra

Can U Just Check My Answer Please! Thank You Guys :D Complete the sentence below. Scatter plots are used to look for a pattern of association, or trend, between ____________ A) one set of values. B) two sets of values. C) three sets of values. D) four sets of values. My Answer: B

### pre algebra

Two bank robbers flee at 60 mph. 26 minutes later, a police helicopter follows at 120mph. How long til they catch them? I figured 39 minutes. I takes the police 13 minutes to get to the 26 mile mark. Then the robbers move 13 miles forward. then the police take 6.5 minutes to ...

### Pre calc

A small plane takes off from island A and flies in a straight line for 12 kilometers. At the same time, a sailor sitting in a sailboat who is 5 miles from the island measures the angled by from island A to the sailboat and the plane is 37 degrees. How far is the plane from ...

### Pre-Algebra

If negative 20 equals 168, negative 15 equals 153, negative 10 equals 138, negative 5 equals 123, 0 equals 108, 5 equals 93, 10 equals 78, 15 equals 63, 20 equals 48, then what is the rule??? Also, what is the pattern in the informatio above???

### Pre-Calc

The intensity I of light received from a source varies inversely as the square of the distance d from the source. If the light intensity is 5 foot-candles at 17 feet, find the light intensity at 16 feet.

### Math (Pre-Calc)

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠A1 is smaller than ∠A2.) b = 74, c = 84, ∠B = 58...

### pre-algebra

Translate the following into an inequality. Do not solve. Profits in the second quarter for a local retailer were all 112% of that in the first quarter. Profits in the third quarter were 87% of that in the first quarter. The profits for the three quarterscombined exceeded $255...

### PRE-CALC

A large painting in the style of Rubens is 3 feet longer than it is wide. If the wooden frame is 12 in wide and the area of the picture frame is 208 ft^2, find the dimensions of the painting. So I know the width would be x and the length would be x+3 if I do 12x=208, I get 17....

### pre-algebra

mr conner's students made kites in science class. he brought a 500-yd bolt of twine to tie to the kites. if he wants to give each student a piece of twine 331/3 yards long. what is the maximum number of pieces of twine mr. conner will be able to make from the bolt of twine?

### Pre-Algebra Permutations and Combinations

16. Simplify 6p2 30 15 12 720 17. Simplify 8c5 6,720 336 56 10 Okay, so the formula for Permutations is n!/(n-r)! and the formula for Combinations is n!/r!(n-r)! however I don't quite know how to figure either of these out. I'm sort of blanking here! Please help. BTW, Ms. Sue...

### Pre-Calc

Hi, Find the exact value of the following expression: Sin^-1(1/radical2) (Its inverse sin(1/radical2) Direction -(Type your answers in interval notation. Type an exact answer using pi as need) Please show how you got the answers so I can use this as a reference for others. ...

### pre calc

you are 7 miles N & 4 miles W of the cabin how do you get back to the cabin? how many miles away is the cabin?

### Pre-Calc Help please

Solve for x: log base5 (4x) + log base5 (x) = log base5 (64)

### calculus 2

The region bounded by y=e^(-x^2),y=0 ,x=0 ,x=1 and is revolved about the y-axis. Find the volume of the resulting solid.

### Business Calculus

Evaluate each indefinite integral. Use the substitution method. X square root (x+3) dx

### calculus

Please help, I have no idea where to start. Use the quotient rule to find the derivative. f(x)= ((x+4)/(x-2)) f '(x) = Thank u!

### Calculus 2

I'm confused on how to solve or set up a substitute for the problem. Evaluate the Integral from 1/4 to 1. 1/ sqrt(16t^2 -1) dt

### Calculus

1. 10=6e 0.5t 2. 100=25(1.5)t We will be happy to try to critique your work or thinking. I have no idea what your question is.

### calculus

find the equations of the circles which pass through the points (0,2) and (0,8), and which also touches the x-axis.

### calculus

what is the equation of the circle whose centre lies on the line x-2y+2=0 and which touches the positive axes.

### Calculus

Find the point at which the line <1,-1,4>+t<3,4,-1> intersects the plane 4x-y-z=73. What process do i take to solve this problem?

### calculus

Find the area of the region in the first quadrant enclosed by the coordinate axes and graph of x^3+y^3=1.

### Calculus Test Question ASAP

The graph of y = cos x is concave down on which interval? (-pi,0)??????? please help!!!!

### Calculus

Solve the triangle a is a side A is an angle I have: a=5 A= b=11 B= c= C= 110 degrees Can this be figured out??If so how?

### CALCULUS

Find the critical numbers of each given function. (a) f(x)=3rt(x^(2)-x (b) g(x)=2sinx+2cos^(2)x, 0 <=x<=2pie

### CALCULUS

Find and classify all locsl extreme values of each given function.(no decimals) (a) g(x)=e^(2x)+e^(-x) (b) g(x)=x^(2/3)*(x^(2)-4)

### Calculus

Use the binomial Theroum to expand the expression and express the results in simplified form (3X + 2)^3

### Calculus

Find the value or values of c that satisfy (f(b)-f(a))/(b-a) =f'(c)for the function f(x)=x^2+3x+3 on the interval [-2,1]. I can't seem to get -1/2, the answer given. [((1)^2+3(1)+3)-((-2)^2+3(-2)+3)]/[1+2] =2

### Calculus

the points a, b, c, d, e, f, g are equally spaced along a line. Name a vestor which is equal to 3BD

### calculus

The volume of a right circular cone is given by V=(1/3)[pie]r^2h, where r is the raius and h is the height Find (dV/dt) if r=4,h-5,(dr/dt)=6, and (dh/dt)=-3

### calculus

The volume of a right circular cone is given by V=(1/3)[pie]r^2h, where r is the raius and h is the height Find (dV/dt) if r=4,h-5,(dr/dt)=6, and (dh/dt)=-3

### Calculus

For solving initial value problems is there any way to do it without a calculator? For example: f"(x)=12x^2-6x+8, f(-1)=5 f'(-1)=-21

### calculus

f(x)=(9x^2–8)^6(4x^2–5)^11 Find f'(x) I got (9x^2-8)^6 *11(4x^2-3)^10*8x+((4x^2-3)^11)6(9x^2-8)^5(18x) but im doing something wrong can someone check my work please

### calculus

identify the conic section. Write in standard form and graph. 5x^2-6y^2-30x-12y+9=0

### Calculus

Determine a vector equation for the line through the points (-1, 4) and (2, -1). I said: r= (-1,4) + (4,-5), tER, is that correct?

### Math:Calculus

State whether or not the following statements are true. Justify your reasoning. a. a• ( b+c ) = a• b + a • c b. a × ( b+c ) = a × b + a × c c. a × ( b•c ) = a × b • a × c Appreciating any help!

### Calculus

Use algebraic manipulations to evaluate lim x->infinity for the function. f(x)=x^2+4/x+3 Is the answer 1 or interdemediate?

### Calculus

Find a formula for the derivatives of the function m(x)=1/(x+1) Please help.....Any assistance would be greatly appreciated.

### calculus

lim sqrt [(2+3x)/(1+5x)] x--->infinity I got no idea with how to do this one. Can anyone please teach me how to do it?????THANKS A LOT!!!

### calculus

lim sqrt [(2+3x)/(1-5x)] x--->infinity I got no idea with how to do this one. Can anyone please teach me how to do it?????THANKS A LOT!!!

### calculus

Given the function: y = 2 - x - x^3 use limits to find the slope (and then the equation) of the tangent line at x =2.

### Calculus-Derivatives

How is 6#sin(#x-1)/cos^3(#x-1) the derivative of f(x)= 3sec^2(#x-1)? #= Pi (I coulnd't find the symbol...sorry.)

### calculus

What are the steps to finding that [0,4) U (4, positive infinity)is a representation of the domain of the expression: h(x) = 12x + 3 / 2 - sqrt (x)

### calculus

Given the function y = 2 - x - x^3 Use limits to find the slope (and then the equation) of the tangent line at x = 2

### Calculus

find the equation of both the tangent lines to the ellipse x^2+9y^2=81 that pass through the point (27,3)

### 12th grade calculus

find the lines that are (a) tangent and (b) normal to the curve at the given point x^2 + xy - y^2 = 1

### Calculus

Find the derivative of y=x^2 / e^2x using the Quotient Rule, and simplify. I really need help! please! :)

### Calculus

Find the solution subject to the initial conditions. dP/dt = -2P P(0)=1 dP/-2P = dt then do i take the antiderivative? what would i do next??

### calculus

solve the differential equation. assume a, b and k are non zero constants. dR/dt = kR i don't understand how to do these problems.

### calculus

the integral sign where 4 is on top and 2 is at the bottom (x/2 + 3)dx and im trying to find the areas to evaluate the intrgral

### calculus

Evaluate the definite integral: [4,8] (4x^2+10)/(x^(1/2)) dx Been trying this for about 1 hour. Very frustrated, thank you.

### Calculus II

Can someone help me with this problem? Find f if f''(x) = x^-2, x>0, f(1)=0, and f(2)=0. I tried using antiderivatives but I realized I couldn't take the antiderivative of x^-1.

### calculus

please help with this problem- i've been working for the last 2 hours and can't seem to find a solution the integral of ln(x^2-x+2)

### Calculus

Find the volume of the cone of maximum value that can be inscribed in a sphere of radius 10cm.

### Calculus

Use implicit differentiation to find dz/dy for yz = ln (x+z) I am unsure of how to deal with the right side specifically.

### calculus

Solve the two sided inequality and show the solution on real line 7 < 1-2x ≤ 10

### Help calculus 2

find the area of the region inside the circle r = 3sinè and outside the cardioid r = 1 + sinè

### calculus

determine if this converges and methods used to find its covergence or divergence. The series as n = 1 to infinity of [(2n+3)/(3n+2)]^n

### Calculus

I need to find the next 3 terms...but I can't figure out what the rule for this! 3, 5, 3 1/2, 4 1/2, 3 3/4, 4 1/4, 3 7/8, 4 1/8... please help! thank you so much

### Calculus

Use implicit differentiation to find the second derivative: 2xy^2=4 (nothing is in parenthesis)

### Calculus

Help me simplify this down some more so I can set it to zero and find my critical points. f(x) = x^3 (x+2)^6 f'(x) = x^3 * 6(x+2)^5 + 3x^2 * (x+2)^6

### Calculus

How do you find factors of this with long division? 2x^3 - 3x^2 + 3x -1 = 0 I just don't know how to do it because there is a coefficient in front of first term.

### calculus

Use implicit differentiation to find the slope of the tangent line to the curve (y/x+8y)=x^8 +9 at the point (1,10/-79).

### calculus

sin(tan^-1(-7/3)) How do i evaluate this? answer has to be exact with no decimals.. calculators not allowed either..

### calculus

find all the numbers c that satisfy the conclusion of rolle's theorem.... f(x)= cos 2x on the interval [0,3]

### Calculus

Solve the differential equation, we're using u substitution: dy/dx= 4x + (4x/ sqr root (16-x^2)) Thanks. Please respond!

### calculus

Find the indefinite integral and check the result by differentiation. ∫3√((1-2x²)(-4x))dx

### calculus

Find the volume if the area between the curve y=lnx, x=1, and y=1 is rotated about the x-axis.

### Calculus

Find the length of the entire perimeter of the region inside r = 16sin(theta) but outside r = 4.

### calculus

For the function f(x) = 1 + sin(x) find f(2). Leave your answer rounded to tenths. Assume x is in radians

### Calculus II

How does one obtain cos2x = cos^2(x) - sin^2(x) by differentiating the identity sin2x = 2sinxcosx

### calculus

Find the length of the entire perimeter of the region inside r = 16sin(theta) but outside r = 4