Question

Asked Jan 30, 2020

36 views

Assume a quantity decreases by 5.1% in 7.5 hours.

What is the half-life of the substance?

Step 1

Find half – life substance.

Step 2

Use Decay formula.

Step 3

Taking ln on bot...

Tagged in

Find answers to questions asked by student like you

Q: Find the point on the sphere x2 + (y - 3)2 + (z + 5)2 = 4 nearest a. the xy-plane. b. the point (0, ...

A: Consider the given equation of the sphere.

Q: Find the measures of the angles between the diago-nals of the rectangle whose vertices are A = (1, 0...

A: The given vertices of the rectangle is A = (1,0), B = (0,3), C = (3,4), and D = (4,1).Use the given ...

Q: A gun with muzzle velocity of 1200 ft >/sec is fired at an angle of 8° above the horizontal. Find...

A: It is given that the gun has the velocity 1200 ft/ sec which is fired at angle 8 degree.Compute the ...

Q: #47

A: Find the values of y at which dy/dx is 0.

Q: In Exercises 33–34, find the distance from the point to the line. 33. (3, -1, 4); x = 4 - t, y = 3 +...

A: Note:We’ll answer the 33th question since we answer only one question at a time. Please submit a new...

Q: Skill Practice 7 A family plans to spend two 8-hr days at Disney World and will split time between t...

A: Click to see the answer

Q: Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How long will it ...

A: If A0 is initial amount present and T is half -life of the substance. Then the amount of substance r...

Q: Find the volume of the solid

A: Given,

Q: X^3-8/x-2 How do I find interval on which function is continuous and discontinuities?

A: Click to see the answer

Q: 50. Fungal Growth As a fungus grows, its rate of growth changes. Young fungi grow exponentially, whi...

A: We are given the model :

Q: In Exercises 17 and 18, find |v| , |u| , v .u, u. v, v * u, u * v, |v * u| , the angle between v and...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Find the limit of the exercise below.

A: Factor the numerator using a^2-b^2=(a+b)(a-b) formula. With a=t and b=4

Q: Write as a single interval form (interval sign with b on top and a on bottom) f(x) dx: (interval sig...

A: The given information is “(interval sign with 2 on top -2 on bottom) f(x) dx + (interval sign with 5...

Q: An airplane is flying in the direction 25° west of north at 800 km> h. Find the component form of...

A: Click to see the answer

Q: Exercises 57–60, find the point in which the line meets the plane. 57. x = 1 - t, y = 3t, z = 1 + t;...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: please solve and show your work

A: Two end points of the line segment are: (0,4) and (-5,-3)

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) (x²...

A: Consider the provided graph of the given function,Here take some point where graph of the function i...

Q: A baseball is hit when it is 2.5 ft above the ground. It leaves the bat with an initial velocity of ...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Am I supposed to square the entire equation?

A: Given function

Q: Find the derivative of the following function and evaluate the derivative at the given value of x. f...

A: The given function is,

Q: n Exercises 21 and 22, draw coordinate axes and then sketch u, v, and u * v as vectors at the origin...

A: Note: We’ll answer the 21st question since we answer only one question at a time. Please submit a ne...

Q: In this section, we used the product-to-sum formulas to write sums and differences of trigonometric ...

A: Given, We are given the Fourier series (later we are writing y = f(x))

Q: How do you define and calculate the length of a segment of a smooth space curve? Give an example. Wh...

A: Description:

Q: f(x)=X^2-4x+1 17. now using the limit definition of derivative find f'(x). 18. Find the equation of ...

A: The given function is,

Q: please solve and show your work

A: We have given the function f(x) = 6x - 3.

Q: The altitude (i.e., height) of a triangle is increasing at a rate of 2.5 cm/minute while the area of...

A: For a triangle with given base ‘b’ and altitude ‘a’ the area ‘A’ is.

Q: find the length of the indicated portion of the curve. 11. r(t) = (4 cos t)i + (4 sin t)j + 3t k, 0&...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: The base of a solid is a circle with radius 5. Each cross section perpendicular to a fixed diameter ...

A: Given:The base of a solid is a circle with radius 5Then, the equation of the boundary of the circle ...

Q: A new laptop is purchased and after one year it is worth $713.50, but after two years it is worth $4...

A: Consider the provided information, A laptop is purchased and after one year its cost reduced and bec...

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → 5 x2 + x −...

A: The given expression is,

Q: Sketch the surfaces 1.z = 1 + y2 - x2 2. z =-(x2 + y2 ) 3. 4y2 + z2 - 4x2 = 4

A: Used graphing calculator to graph:z = 1 + y^2 - x^2 from two viewing angles

Q: Find the limit of the problem.

A: Use the exponent property of logarithm.

Q: Find the surface area of the part of the sphere x^2+y^2+z^2=49 that lies above the cone z=sqrt(x^2+y...

A: Given:

Q: Find a vector 5 units long in the direction opposite to the direction of v = (3/5)i + (4/5)k.

A: Given:

Q: Show that squares are the only rect-angles with perpendicular diagonals.

A: Consider u and v as the sides of the rectangle.The diagonals are perpendicular.Consider the diagonal...

Q: In Exercises 1–5, find the length and direction (when defined) of u * v and v * u. 1. u = 2i - 2j - ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: What geometric interpretation does the dot product have? Give examples.

A: The geometrical interpretation of the dot product of u.v is the length of the projection of the vect...

Q: The graph of (x/a) + (y/b) + (z/c) = 1 is a plane for any non-zero numbers a, b, and c. Which planes...

A: The graph of given plane is,

Q: x3 :/ V? +3 dt then If f(x) = 3

A: According to the given information it is required to calculate the definite integral of the followin...

Q: find the component form of the vector. The vector obtained by rotating <0, 1> through an angle...

A: Find the component form of the vector. The vector obtained by rotating <0, 1> through an angle...

Q: express each vector in the form v = y1i + y2j + y3k. 5u - v if u = <1, 1, -1>and v = <2, 0,...

A: Given vectors

Q: Find an equation for the plane that passes through the point (3, -2, 1) normal to the vector n = 2i ...

A: Given:A point (3, -2, 1) normal to the vector n = 2i + j + kThe normal vector can be written as,

Q: Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How much remains ...

A: The amount left after t years can be calculated as

Q: At a peach packaging plant, 46,000 lbs of fresh peaches are processed and packed each hour. The tabl...

A: First find the function for the linear model which gives peach inventory in thousand pounds, where t...

Q: question 4

A: Hi there! Thank you for the question, but as per our guidelines we can solve only one question at a ...

Q: Evaluate the limit [(1/(b+1))-(1/6)]/(b-5) Limit b->5

A: To evaluate

Q: Suppose f is continuous on [a, b] and the graph of f lies above the line y = c. Let V denote the sol...

A: Rotating the region between two curves y=f and y=c between x=a and x=b around a line of the form y=c...

Q: How do you use a Maclaurin serieis aproximation to estimate (Provided picture). Thanks!

A: First find the Maclaurin series for e^(x^2) using the Maclaurin series of e^xPlug x^2 in place of x.

Q: The period of the moon’s rotation around Earth is 2.36055 x 106 sec. Estimate the distance to the mo...

A: Click to see the answer

Q: Find the acute angles between the lines and planes in Exercises 51 and 52. 51. x = 1 - t, y = 3t, z ...

A: Given:The line equations x = 1 - t, y = 3t, z = 1 + t.