Provide an appropriate response.Fill in the blanks with the correct numbers.The opposite of -1 is _____.The absolute value of -1 is _____.The opposite of the absolute value of -1 is _____.The absolute value of the opposite of -1 is _____.
Fill in the blank(s) with the appropriate word(s).
1, 1, -1, 1
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Solve.In an electrical circuit, the voltage is equal to the product of the current, measured in amperes (A), and the resistance of the circuit, measured in ohms (?) Suppose the current in a circuit is
and the resistance is
Find the voltage. Round to the nearest hundredth, if necessary.
A. -1.84 V B. -44.1 V C. 4.1 V D. -0.54 V
Solve the problem.Walt made an extra $9000 last year from a part-time job. He invested part of the money at 7% and the rest at 10%. He made a total of $720 in interest. How much was invested at 10%?
A. $4500 B. $6000 C. $7000 D. $3000
Solve the problem.The life expectancy of inhabitants of a country can be approximated by the equation y = 0.267x - 455, where x is a year between 1940 and 2006 and y is age in years. Use this mathematical model to approximate life expectancy (to the nearest tenth of a year) in 1999.
A. 488.2 yr B. 78.7 yr C. 529.2 yr D. 233.7 yr
Solve the problem.A steel company produces two types of machine dies, part A and part B and is bound by the following constraints:? Part A requires 1 hour of casting time and 10 hours of firing time. ? Part B requires 4 hours of casting time and 3 hours of firing time.? The maximum number of hours per week available for casting and firing are 100 and 70, respectively.? The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.Let x = the number of part A produced in a week and number of part B produced in a week. Write a system of three inequalities that describes these constraints.
A.
B.
C.
D.