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MATH SOLVE
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A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1536 incubed, what were the original dimensions of the piece of metal?
General
4 months ago
Scientists released 5 foxes into a new habitat in year 0. Each year, there werefour times as many foxes as the year before. How many foxes were thereafter x years? Write a function to represent this scenario.
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4 months ago
A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is as follows: P(w) = 1 2 ; P(x) = 1 4 ; P(y) = 1 8 ; and P(z) = 1 8 . These symbols are now encoded into binary codes using the scheme shown below. Let the random variable L denote the length of the binary code and pL(l) denote the PMF of L.symbol codew 0x 10y 110z 111Find the expectation and variance of L.
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4 months ago
In a typical children's soccer game, there is one goal scored approximately every 18 minutes. The number of goals scored follows a Poisson distribution. What would the standard deviation be for the number of goals scored in an entire game? (A game consists of two 45-minute halves.)
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4 months ago
If the concentration of mercury in the water of a polluted lake is 0.300 μg (micrograms) per liter of water, what is the total mass of mercury in the lake, in kilograms, if the lake has a surface area of 13.0 square miles and an average depth of 49.0 feet?
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4 months ago
In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known that 27% of all the families own a cat.What is the probability that a randomly selected family owns both a dog and a cat?What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?
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4 months ago
which expression is undefined
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4 months ago
PLZ HELP IM 100% LOST ON THIS
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4 months ago
QUESTION 1Simplify |-9 |7912151 points QUESTION 2Simplify | 10 |91012161 points QUESTION 3Simplify 3 – | –8 |-10-9-5-31 points QUESTION 4Simplify | 5 – 7 |01231 points QUESTION 5Simplify | 1 + 3(–3) |81618221 points QUESTION 6Simplify - | -1 |1-12-21 points QUESTION 7Simplify 3 • | 4 • –2 |132022241 points QUESTION 8Simplify 4 + | 10 / –5 |9-2-561 points QUESTION 9Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 1 + 2 – 3 • 44 + 3 • 2 – 19 < -9-9 < 93 > 90 < 92 points QUESTION 10Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 1 + 4(2 – 3)(4 + 3) • –2 – (–1)-3 > - 13-13 > 312 > 915 < 191 points QUESTION 11Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 2 – 3 • 2 + 32(5 – 3) • 2 + 3-1 < 11-1 > 111 > 112 > 111 points QUESTION 12Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 2[7 + 3(2)] – (1 – 3)8 • 2 ÷ 2 – 128 > 7-28 > 728 > 307 < 301 points QUESTION 13Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 2[12 - 2(4)] – (10 – 3)12 ÷ (2 • 2) + 912 < 1-1 < -121 < 121 < -121 points QUESTION 14Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign.-8-9-9 > -88 > 9-8 > -99 > 81 points QUESTION 15Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. | –8 || –9 |9 < 8-8 > -98 < 98 > -91 points QUESTION 16Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 2(–2 – 3) + | 4 – 8 |10 – 8 – 6 + 2 + 3-6 < 16 < -14 > 55 > 41 points QUESTION 17Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 8 • 5 – 3 – 10| 3 – (– 3 • 4) |27 > 1527 < 156 > -156 < -151 points QUESTION 18Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 8 ÷ –4 • | 2 – (–1) |– | 4 ÷ 2 • 7 |-14 > -6-6 > -1414 < 66 < 141 points QUESTION 19Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. (1 + 5) • – | –4 |– | –1 |-1 < -2424 < 1-24 < -11 < 241 points QUESTION 20Simplify these two expressions, and then compare them using < or >. Do not change the order of the expressions in your answer; the first expression shown should go on the left side of the < or > sign. 2 – 3 + | 3 – 3 || 0 |0 < -10 < 1-1 < 0-1 > -2
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4 months ago
The price of a home is $160,000. The bank requires 10% down payment. Thebuyer is offered 2 mortgage options. 15-year fixed at 4% or 30-year fixed at4%.1) Find the monthly payment for the 15-year option.2) Find the monthly payment for the 30-year option.3) Calculate the total cost of interest for both mortgage options. How much does the buyer save in interest with the 15-year option?
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4 months ago
In preparing for a test on a set of material, is it better to study one topic at a time or to study topics mixed together? In one study,1 a sample of fourth graders were taught four equations. Half of the children learned by studying repeated examples of one equation at a time, while the other half studied mixed problem sets that included examples of all four types of calculations grouped together. A day later, all the students were given a test on the material. The students in the mixed practice group had an average grade of 77, while the students in the one-at-a-time group had an average grade of 38. What is the best estimate for the difference in the average grade between fourth-grade students who study mixed problems and those who study each equation independently?
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4 months ago
Find the slope and y intercept of the line represented by each table
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4 months ago
If you had an individual who was gifted and talented in math, and well above the rest of your class, how might you use differentiated instruction to keep him or her challenged while still addressing the needs of the remainder of your pupils?
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4 months ago
A submarine is 100 m below sea level when it begins to ascend at a steady rate of 3.0 m/min. Interpret values - What is the y-intercept & the slope of this function please help
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4 months ago
Find the length of a segment with an endpoint of (2, 1) and a midpoint of (–2, –1).
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4 months ago
The length between (3, 8) and (-2, -4) is ______?
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4 months ago
GEOMETRY HELP im BEING TIMED
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4 months ago
A function is defined as a relation for which each x-value has exactly one corresponding y-value. The graph of a function, f(x) is shown below.Use the graph of the function, f(x), to complete each statement. Enter numerical answers into the spaces provided.1.f(0)=_____2.f(2)=_____3.For the function,f(x), there are exactly three x-values for which the corresponding y-value is zero. In ascending order,f(x), whenx=_____, ______, and______4.f(-8)=______5.f(-6)=_______
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4 months ago
In the triangles, Line segment A C is-congruent-to line segment F E and Line segment B C is-congruent-to line segment D E. Triangles A B C and F D E are shown. The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Angle B C A is 72 degrees. Angle D E F is 65 degrees. Which statement correctly compares Line segment A B and Line segment F D? Line segment A B and Line segment F D are the same length. Line segment A B is longer than Line segment F D. Line segment A B is shorter than Line segment F D. Line segment A B is shorter than or the same length as Line segment F D.
General
4 months ago
Suppose a rectangular plot is to be fenced in, with the fencing on each of the four sides (labeled east, west, north, south) costing as follows: north: $4 per foot south: $5 per foot east: $3 per foot west: $5 per foot and the total cost of fencing is to be $700. What is the maximum area in ft2 of such a plot?
General
4 months ago
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