Math

Problem 1901

Find the square root of 1. Solution: 1\sqrt{1}

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Problem 1902

Find the values of (fg)(5)(f \circ g)(-5), (gf)(15)(g \circ f)(15), (ff)(6)(f \circ f)(6), and (gg)(3)(g \circ g)(-3) using the given table of f(x)f(x) and g(x)g(x).

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Problem 1903

Solve for xx in the equation 2x3+2=10\frac{2 x}{3} + 2 = 10.

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Problem 1904

Solve the absolute value equation 8x6+10=2-8|-x-6|+10=2 and graph the solutions on the number line.

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Problem 1905

Find the mode of the set of numbers: 89,84,61,27,95,39,7,86,59,7,40,45,80,32,4989, 84, 61, 27, 95, 39, 7, 86, 59, 7, 40, 45, 80, 32, 49.

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Problem 1906

Solve for xx in 4(px+1)=644(px+1)=64. Find xx when p=5p=-5.

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Problem 1907

Solve for the value of xx in the equation 2x=1282x = 128.

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Problem 1908

Solve the quadratic equation (x+3)(x7)=0(x+3)(x-7)=0 and find the roots.

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Problem 1909

Determine which table of xx and yy values satisfies the equation 141/3x=y14 - 1/3 x = y.

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Problem 1910

Evaluate 7x97x-9 when x=17x=\frac{1}{7} and simplify the expression.

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Problem 1911

Find the value of aa in the function f(x)=ax2+x7f(x) = a x^2 + x - 7 that has a remainder of 3 when divided by (x2)(x-2).

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Problem 1912

Find the number of solutions to the linear equation 5p+3=5p15p + 3 = 5p - 1.

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Problem 1913

Simplify the expression 33663 \sqrt{3} \cdot 6 \sqrt{6}.

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Problem 1914

Find the unknown number bb where twice the difference of bb and 9 equals 5.

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Problem 1915

Find the value of 3t8+1.5-3|t-8|+1.5 when t=12t=-12.

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Problem 1916

Multiply 89\frac{8}{9} by 12.

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Problem 1917

Evaluate b2+28b^{2} + 28 when b=2b=2.

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Problem 1918

Find the length of side xx in a 30-60-90 right triangle, where one side is 4 units and xx is not the hypotenuse. Express xx in simplest radical form.

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Problem 1919

Analyze gender gap in political beliefs and party ID. Identify response and explanatory variables. Calculate proportions of male/female Republicans. 83369\frac{83}{369} male Republicans, 98551\frac{98}{551} female Republicans.

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Problem 1920

Solve the following simple multiplication problems: 0.5×0.40.5 \times 0.4, 2.5×0.22.5 \times 0.2, 1.25×0.51.25 \times 0.5, 0.75×0.20.75 \times 0.2.

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Problem 1921

Solve the equation x22x=8x^{2} - 2x = 8 graphically and round the solution to the nearest integer.

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Problem 1922

Find y-intercepts of f(x)=2x2x2+x12f(x)=\frac{2 x^{2}}{x^{2}+x-12}. Simplify the answer and separate with commas if necessary.

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Problem 1923

Find the simplified expression for f(3m5)f(3m-5) where f(x)=5x+6f(x)=-5x+6.

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Problem 1924

Find values of PP that make the equation 3x5=Px63x - 5 = Px - 6 have a unique solution.

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Problem 1925

Find the total amount of money being added to the account from the given deposit transactions: $2126.06+$28.24+$18.38+$24.26=$2196.94\$ 2126.06 + \$ 28.24 + \$ 18.38 + \$ 24.26 = \$ 2196.94.

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Problem 1926

Simplify the expression p(9(mq))+q2p-(9-(m-q))+q^{2} when m=4,p=5,q=3m=4, p=5, q=3.

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Problem 1927

Find the solution to the equation 16=4x416=4x-4.

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Problem 1928

Find the derivative of g(x)=ax3+ax2+ag(x)=a x^{3}+a x^{2}+a and show g(1+2)=g(1+2)a2g(1+\sqrt{2})=g'(1+\sqrt{2})-a \sqrt{2}.

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Problem 1929

Berechne den Wert des Terms (72+2)2+42(-7 \cdot 2 + 2)^{2} + 4 \cdot 2 mit u=2u=2 und v=2v=2.

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Problem 1930

Solve the linear equation 40+5y=54 \cdot 0 + 5y = 5 for the variable yy.

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Problem 1931

Solve the linear equation 15+8x=4715+8x=47 for the unknown variable xx.

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Problem 1932

Solve a system of linear equations with error analysis. Equations: 13x+y=4\frac{1}{3}x+y=4, 3x+5y=3x+\frac{-}{5}y=, π=7x2y\pi=7x-2y, 4.2x1.4y=2.14.2x-1.4y=2.1, 6y1.5x=86y-1.5x=8. Analyze errors in 2xy=52x-y=5, y=2x+5y=-2x+5.

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Problem 1933

Find the range of y=2cos(x2π)3y=-2 \cos (-x-2 \pi)-3. The range is [5,1]\left[-5, -1\right].

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Problem 1934

Find the value of cc such that the probability that ZZ (a standard normal random variable) exceeds cc is 0.9837, rounded to 2 decimal places.

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Problem 1935

Find the value(s) of xx that make the expression x3+5x2+11x+15x^3 + 5x^2 + 11x + 15 equal to zero.

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Problem 1936

Find the value of the fraction 13\frac{1}{3}.

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Problem 1937

Solve the absolute value equation 11x+10=22|11 x+10|=22 for xx.

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Problem 1938

Find the derivative of the function g(x)=4x+3x2g(x)=\frac{4x+3}{x^2}.

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Problem 1939

Solve the equation 2x1=8x|2 x-1|=8 x and check graphically. Select the correct choice: A. x=x= (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) or B. There is no solution.

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Problem 1940

Find aa when aba \propto b and a=12a=12 when b=2b=2, given b=7b=7.

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Problem 1941

Find the domain and range for the relation {(3,7),(1,3),(0,1),(2,3),(4,7)}\{(-3,-7),(-1,-3),(0,-1),(2,3),(4,7)\}.

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Problem 1942

Solve for ww where 3w+12=3|3 w+12| = -3. If multiple solutions, separate by commas. If no solution, click "No solution".

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Problem 1943

Find the solution(s) to x2+6=2x+3-x^{2} + 6 = -2x + 3, where f(x)=x2+6f(x) = -x^{2} + 6 and g(x)=2x+3g(x) = -2x + 3.

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Problem 1944

Convert 7π5-\frac{7 \pi}{5} to degrees.

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Problem 1945

Find the value of ff if w=17w=17 in the equation w=3f+5w=3f+5.

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Problem 1946

Find xx given x+40=60x + 40 = 60.

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Problem 1947

Compute the sum of 33 times each of the 11 measurements: i=11133xi\sum_{i=1}^{11} 33 x_{i}

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Problem 1948

Find a4a_4 if a1=5a_1=5 and an=an11a_n=a_{n-1}-1.

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Problem 1949

Predict a company's revenue in 2017 using a linear model y=27.27x+6.74y=27.27x+6.74 or a quadratic model y=1.54x2+14.91x+19.10y=1.54x^2+14.91x+19.10.

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Problem 1950

Latoya has two exercise routines. Routine #1: 22 calories walking, 15.515.5 calories/min running. Routine #2: 40 calories walking, 13.2513.25 calories/min running. Find time tt (min) running where Routine #1 burns at most as many calories as Routine #2.

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Problem 1951

Find the value of 3+4x3+4x when x=4x=4.

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Problem 1952

Find your original test score given your adjusted score of 95 after a 6-point addition. Let xx represent your original score.

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Problem 1953

5. Landscaping company ordered xx plants, yy trees for $964\$ 964. Write equation: 964=17x+8y964=17x+8y
6. If plants cost $12\$ 12 each, find the cost of each tree using the equation from 5.

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Problem 1954

Solve the linear equation x+3=10x + 3 = 10 using algebra tiles.

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Problem 1955

Find the value of g(5)g(5) where g(x)=x22xg(x) = x^2 - 2x.

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Problem 1956

Solve for the value of xx where 100=4:20100=4:20.

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Problem 1957

Simplify the expression 8(6x)+49-8(6-x)+49.

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Problem 1958

Find the absolute value of -5.5.

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Problem 1959

Solve for bb in the equation 4a=2b74a = 2b - 7, then find bb when a=3a = 3. (1 point)

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Problem 1960

Find the limit of the expression (f(x)f(9))/(x3)(f(x) - f(9)) / (\sqrt{x} - 3) as xx approaches 9, given that ff is differentiable.

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Problem 1961

Find the value of 54\frac{5}{4}.

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Problem 1962

Evaluate h(3)h(3) for h(x)=3x22x+13h(x)=3x^2-2x+13. Simplify the result.

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Problem 1963

Solve the quadratic equation x2+8x+8=0x^2 + 8x + 8 = 0 by completing the square. Express the solutions in the form x=a±bcx = a \pm b \sqrt{c}, where bb and cc are integers.

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Problem 1964

Solve for nn in the equation bnw=fb n - w = f.

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Problem 1965

Find the value of xx that satisfies the equation x+5=14x + 5 = 14.

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Problem 1966

Find the side length of the largest square tile that can cover a 15in15 \mathrm{in}. high and 24in24 \mathrm{in}. rectangular wall, where the tile side length must divide both height and width.

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Problem 1967

Find the point on f(x)=x33x2f(x) = x^3 - 3x^2 where the tangent line slope equals the secant line slope through A(2,4)A(2,-4) and B(3,0)B(3,0), to 2 decimal places.

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Problem 1968

Find all solutions to the second-order differential equation y=xcos(x)y^{\prime \prime}=x \cos(x).

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Problem 1969

Find the value of bb that satisfies 4.4b=2.9-4.4b = 2.9. Round the answer to the nearest hundredth.

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Problem 1970

Find the values of xx where y=x+x+6y=x+\sqrt{x+6} and y=6y=6.

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Problem 1971

Find the value of f(x)=2xf(x) = 2x evaluated at x=95x = -\frac{9}{5}.

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Problem 1972

Identify the graph that satisfies the absolute value equation x3=5|x-3|=5.

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Problem 1973

Find the two integers that bound the square root of 115.

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Problem 1974

Calculate 2702.524.6+17.28.46.8\frac{270}{2.5^{2}}-\frac{4.6+17.2}{8.4-6.8}.

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Problem 1975

Wie groß ist die Wahrscheinlichkeit, die Zahlen 1 oder 5 zu würfeln? P(1 oder 5)=13P(1 \text{ oder } 5) = \frac{1}{3}. Gegenereignis: P(keine 1 oder 5)=113=23P(\text{keine 1 oder 5}) = 1 - \frac{1}{3} = \frac{2}{3}.

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Problem 1976

Estimate P(P( fewer than 3)) using normal approximation when np5np \geq 5 and nq5nq \geq 5 with n=14n=14 and p=0.4p=0.4. If not, state that normal approximation is not suitable.

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Problem 1977

Simplify the expression (4x5y)2(4 x-5 y)^{2}.

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Problem 1978

There are 3 boys for every 6 girls at a movie. If there are 24\mathbf{24} girls, how many boys are there?

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Problem 1979

Solve 10x=2.5x10x = 2.5x for number of solutions. No solution, no values work. One solution, x=1/4x = 1/4.

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Problem 1980

Solve for cc in the formula P=c+b+4aP=c+b+4a.

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Problem 1981

Find the sum of 3\sqrt{3} and 3123\sqrt{12} and determine if the result is rational or irrational.

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Problem 1982

Find the product of 8s\frac{8}{-s} and t3\frac{-t}{3}. Simplify the result.

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Problem 1983

Find the derivative yy' of the equation (6xy)4+2y3=14639(6x-y)^4 + 2y^3 = 14639 evaluated at the point (2,1)(-2,-1).

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Problem 1984

Determine which of the following are integers: -95, 910\frac{9}{10}, 12643-1 \frac{26}{43}, -36.

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Problem 1985

Find the number of cookies Desiree baked last week given that she made 100 cookies this week, which is 4 more than 3 times the number of cookies she made last week. 3x+4=1003x+4=100

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Problem 1986

Solve for the variable mm in the equation m2.6=5\frac{m}{-2.6} = 5.

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Problem 1987

Determine the appropriate problem-solving method to find the five-number summary and draw a box-and-whisker plot for the given data: 7,21,28,18,29,31,47,18,40,29,32,36,48,46,557, 21, 28, 18, 29, 31, 47, 18, 40, 29, 32, 36, 48, 46, 55.

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Problem 1988

Add or subtract the given polynomials in xx and yy.

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Problem 1989

Determine if the statement is false or identify the property that justifies it. If cancellation is used, specify the quantity added/multiplied to both sides. 4x+14y6z=8y6z4x+6y6=0-4x + 14y^6 - z = 8y^6 - z \Leftrightarrow -4x + 6y^6 = 0

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Problem 1990

Solve for the value of cc given the equation c+19=73c + 19 = 73.

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Problem 1991

Solve the linear equation 85x=378-5x=-37 for the value of xx.

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Problem 1992

Geben Sie eine Funktion an, die folgende Eigenschaften erfüllt: a) Polynomgrad 8 mit 3 Summanden b) Ganzrational vom Grad 6, in faktorisierter Form c) Quadratisch mit a1=0a_{1}=0 und a0=3a_{0}=3 d) Polynomgrad 7 mit 4 ungleich null Koeffizienten e) Gebrochen-rational mit senkrechter Asymptote x=2x=-2

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Problem 1993

Find the number of students in the pottery class this month, given that each student pays $15\$ 15 for the class and $27\$ 27 for materials, and the total revenue is $714\$ 714.

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Problem 1994

Janice scored 52 points out of 70 on a test. Express her performance as a reduced fraction and a percentage.
5270\frac{52}{70} reduced, then express as a percentage.

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Problem 1995

Calculate a2bcb+c\frac{a^{2}-bc}{b+c} given a=4,b=2,c=3a=4, b=-2, c=3. [2 marks]

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Problem 1996

Solve the equation 3(m2)+m=5(3m)-3(m-2)+m=5(3-m).

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Problem 1997

Solve for uu where 2u2+14u+24=(u+3)22 u^{2}+14 u+24=(u+3)^{2}. If multiple solutions, list them separated by commas.

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Problem 1998

Identify the reciprocal functions from the given equations: y=x2y=x^{2}, y=1x+4y=\frac{1}{x+4}, y=7xy=\frac{7}{x}, y=2x+5y=\frac{2}{x}+5, y=x8y=\frac{x}{8}, y=3x+1y=3 x+1.

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Problem 1999

Find the discriminant of the quadratic function f(x)=x2+8x15f(x) = x^2 + 8x - 15.

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Problem 2000

Simplify the expression 9xx8\frac{9x}{x-8} and evaluate it when x=0.8x=0.8.

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