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How many distinct colorings can be obtained when using 6 different colors to color the faces of a 3D-cube (one face - one color)? Two colorings are identical if they can be obtained by rotation (but not reflection).
General
4 months ago
One endpoint of a line segment is (8, −1). The point (5, −2) is one-third of the way from that endpoint to the other endpoint. Find the other endpoint
General
4 months ago
Complete the equation of the line through (2, 1) and (5, -8).Use exact numbers.y = ___
General
4 months ago
2. A submarine starts out at 135 feet below sea level.It dives 239 feet before rising 307 feet. Represent the current depth of the submarine as an integer.
General
4 months ago
The traverses are adding a new room to their house. The room will be a cube with a volume of 6,859 cubic feet. They are going to put in hardwood floors which costs $10 per square foot
General
4 months ago
You’ve bought a cylindrical thermos 8 in. high with a base 6 in. across. How much coffee can you put in the thermos?
General
4 months ago
Write each expressionusing positiveexponents, thenevaluate.
General
4 months ago
A locker combination contains four digits. Each digit can be from 0 through 9. What is the probability that a 4-digit combination chosen at random is made up of 4 digits that are all greater than 6 if each digit can be repeated?1. Find the total number of possible outcomes.1. (10)(10)(10)(10)2. Find the number of favorable outcomes.2. (3)(3)(3)(3)3. Use the formula3. P (event) = Number of favorable outcomesNumber of possible outcomes
General
4 months ago
Find the value of x and y. ( ANSWER NEEDS TO BE IN REDUCED RADICAL FORM )
General
4 months ago
Use the rule t_n=5∙2^(n-1) to find the first five terms in the geometric sequence.i have no clue what they are talking about by geometric sequence and oll that can i get some help plz thanks.
General
4 months ago
Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola
General
4 months ago
Solve seven square root three plus two square root nine and explain whether the answer is rational or irrational.
General
4 months ago
Sound City sells the ClearTone-400 satellite car radio. For this radio, historical sales records over the last 100 weeks show 4 weeks with no radios sold, 33 weeks with one radio sold, 39 weeks with two radios sold, 12 weeks with three radios sold, 8 weeks with four radios sold, and 4 weeks with five radios sold. Calculate μx, σx2, and σx, of x, the number of ClearTone-400 radios sold at Sound City during a week, using the estimated probability distribution.
General
4 months ago
Suppose a fish population is currently 2800 and 3 years later the population is 25000. Use the explicit exponential model to find the rate of growth.Express the rate of growth as a percentage. Round to the nearest tenth.r=
General
4 months ago
Consider the paraboloid f (x comma y )equals14 minus StartFraction x squared Over 4 EndFraction minus StartFraction y squared Over 16 EndFraction and the point Upper P (2 StartRoot 2 EndRoot comma 8 )on the level curve f (x comma y )equals8. Compute the slope of the line tangent to the level curve at P and verify that the tangent line is orthogonal to the gradient at that point.
General
4 months ago
The radius of a circular disk is given as 22 cm with a maximum error in measurement of 0.2cm.(a) Use differentials to estimate the maximumerror in the calculated area of the disk. (Round the answer to twodecimal places.)cm2(b) What is the relative error? (Round the answer to four decimalplaces.)What is the percentage error? (Round the answer to two decimalplaces.)%
General
4 months ago
Taletha is preparing for an exam in Algebra II. She knows she will be expected to determine if two functions are inverses of each other using composition of functions. Which compositions would she use to prove f(x) and g(x) are inverse functions?f ○ g(x) = and g ○ f(x) = ⊝f ○ g(x) = x and g ○ f(x) = ⊝f ○ g(x) = x and g ○ f(x) = x⊝f ○ g(x) = and g ○ f(x) = x
General
4 months ago
Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with parameter α, the expected number of trees per acre, equal to 40. (a) What is the probability that in a certain quarter-acre plot, there will be at most 15 trees? (Round your answer to three decimal places.) (b) If the forest covers 70,000 acres, what is the expected number of trees in the forest? trees (c) Suppose you select a point in the forest and construct a circle of radius 0.1 mile. Let X = the number of trees within that circular region. What is the pmf of X? [Hint: 1 sq mile = 640 acres.]
General
4 months ago
Evaluate the expression 3(7 + 4)2 − 24 ÷ 6Can I get steps? I want to make sure my Process is correct
General
4 months ago
Tamika is stacking boxes of tissue for a store display. Each row oftissues has 2 fewer boxes than the row below. The first row has 23 boxes of tissues.a. Write a function to represent the arithmetic sequence.b. How many boxes will there be in the tenth row?
General
4 months ago
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