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2. Another machine is used to make 10 mm long bolts. For this machine, the bolts must have an error of less than 0.1 mm to be accepted. This can be represented by |x – 10| < 0.1.a. Write this inequality as a compound inequality without absolute value bars.b. Solve the compound inequality.c. Graph the solutions on a number line.d. What do the solutions of the inequality mean for the bolt?3. Special precision bolts are made by another machine. These are for jobs that require more exact measurements. The bolts must be within 0.01 mm of 8 mm. This is represented by |x – 8| < 0.01. a. Write this inequality as a compound inequality without absolute value bars.b. Solve the inequality.c. Graph the solutions on a number line.d. What do the solutions of the inequality mean for the bolt?4. Suppose 1.5-inch long bolts are made by another machine and have to be within 0.125 inches of 1.5 inches.a. Write an absolute value inequality to represent this tolerance.b. Rewrite the absolute value inequality as a compound inequality without absolute value bars.c. Solve the compound inequality.d. What does the solution mean for the bolts?30 points!!! need help asape. Give an example of one acceptable length for a bolt.f. Give an example of one non-acceptable length for a bolt.
General
2 months ago
In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the angle bisector of angle ∠A.
General
2 months ago
Which conjunction or disjunction is equivalent to the open sentence |a – 7| ≤ 5?a – 7 ≥ 5 or a – 7 ≤ – 5a – 7 ≤ 5 or a – 7 ≥ – 5a – 7 ≤ 5 and a – 7 ≥ – 5a – 7 ≥ 5 and a – 7 ≤ – 5
General
2 months ago
49 080 tickets have been sold for the tournament. 3 /5 of the tickets are for the qualifying matches and 15% of the tickets are for the final match. How many tickets sold are for the semi-final matches
General
2 months ago
Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A'B'. Which statement describes A'B'? A'B' is parallel to AB. A'B' is half the length of AB. A'B' and AB are equal in length. A'B' is greater than twice the length of AB.
General
2 months ago
Which of the following statements best describes a characteristic of an observational study?The researcher imposes, for example, a treatment on the sample population and then observes their response.The researcher determines relationships among variables.The individuals are observed the exact way they act in real life.It is the best method to learn about cause-effect relationships.
General
2 months ago
Find the indefinite integral. (use c for the constant of integration.) sech8 x tanh x dx
General
2 months ago
If x is a normal random variable with a standard deviation of 10, then 3x has a standard deviation equal to:
General
2 months ago
The donaldson furniture company produces three types of rocking chairs: the children's model, the standard model, and the executive model. each chair is made in three stages: cutting, construction, and finishing. stage children's standard executive cutting 5 hr 4 hr 7 hr construction 3 hr 2 hr 5 hr finishing 2 hr 2 hr 4 hr the time needed for each stage of each chair is given in the chart. during a specific week the company has available a maximum of 152152 hours for cutting, 9292 hours for construction, and 7474 hours for finishing. determine how many of each type of chair the company should make to be operating at full capacity.
General
2 months ago
Aaron starts walking at a rate of 3 mi/h on a road toward a store 10 mi away. zhang leaves the store when aaron starts walking, and he walks toward aaron along the same road at 2 mi/h. how many hours will pass before they meet?
General
2 months ago
Assume that the ball rebounds the same percentage on each bounce. using the initial drop height and the height after the first bounce, find the common ratio, r. note: round r to three decimal places. use this formula: (3 points: 2 points for showing your work, 1 point for the answer)
General
2 months ago
What is the value of a2 in the sequence?2, 5, 10, 17, ...251017What is the value of a3 in the sequence?−4, −2, −1/2, −1/4, ...−4 −3 −1/4 −1/2 Which answer describes the type of sequence?3, 9, 15, 21, ...arithmeticneither arithmetic nor geometricgeometricWhich answer describes the type of sequence?4, 9, 13, 22, ...arithmeticneither arithmetic nor geometricgeometricWhich answer describes the type of sequence?200, 40, 8, 1.6, ...geometricneither arithmetic nor geometricarithmetic
General
2 months ago
In 2000, the number of students enrolled at Arlington Country Day School was 823 students. In 2010, the population was approximately 705 students. Find the percent of change in the enrolled students at Arlington Country Day School from 2000 - 2010 and identify it as an increase or decrease.
General
2 months ago
Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus a year-end bonus equal to 3% of her total sales. Company B offers a base salary of $25,000 per year plus a year-end bonus equal to 5% of her total sales. Which statement best describes the two offers?A. Company A pays better when total sales are less than $37,500, but company B pays better when total sales exceed $37,500.B. Company A pays better when total sales are less than $250,000, but company B pays better when total sales exceed $250,000.C. Company B pays better when total sales are less than $37,500, but company A pays better when total sales exceed $37,500.D. Company B pays better when total sales are less than $250,000, but company A pays better when total sales exceed $250,000.
General
2 months ago
8. some carpet cleaning costs are shown in the table. The relationship is linear. Find and interpret the rate of change and the initial value for this situation (please I need help in all the page)
General
2 months ago
Where is the circumcenter of this triangle located? outside the triangle inside the triangle on a side of the triangle at a vertex of the triangle a right triangle is made. the base of the right triangle is horizontal in left direction and the perpendicular of the right triangle is vertical in downward direction. the right angle is marked?
General
2 months ago
which of the following are valid probability distributions for a discrete random variable
General
2 months ago
License plates in the newly established state of Atlantis consist of three letters followed by three digits. The first letter must be a vowel (y is not considered a vowel), and no letter can be repeated. The first digit must be one of $\{1,2,4,6\}$, which corresponds to the location the license was issued. No digit may be repeated. How many possible license plates exist?
General
2 months ago
What is the difference between the areas of a circular target region with radius 5 m and a target region with radius 7 m? Round your answer to the nearest square meter. 36 m2 6 m2 75 m2 12 m2
General
2 months ago
The function f(x) = 5^(x-1) is shown on the coordinate plane. Select from the options to correctly describe the end behavior of f(x).As x decreases without bound, the graph of f(x)•approaches y=0•increases without bound•decreases without boundAs x increases without bound, the graph of f(x)•approaches y=0•increases without bound•decreases without bound
General
2 months ago
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