Browse Math problems in the Studdy Learning Bank!

Problem 1901

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

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Problem 1902

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

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Problem 1903

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

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Problem 1904

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

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Problem 1905

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

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Problem 1906

Determine which table of $x$ and $y$ values satisfies the equation $14 - 1/3 x = y$ .

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Problem 1907

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

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Problem 1908

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

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Problem 1909

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

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Problem 1910

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

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Problem 1911

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

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Problem 1912

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

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Problem 1913

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

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Problem 1914

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

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Problem 1915

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

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Problem 1916

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

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Problem 1917

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

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Problem 1918

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

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Problem 1919

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

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Problem 1920

Solve the following simple multiplication problems: $0.5 \times 0.4$ , $2.5 \times 0.2$ , $1.25 \times 0.5$ , $0.75 \times 0.2$ .

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Problem 1921

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

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Problem 1922

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

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Problem 1923

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

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Problem 1924

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

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Problem 1925

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

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Problem 1926

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

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Problem 1927

Solve a system of linear equations with error analysis. Equations: $\frac{1}{3}x+y=4$ , $3x+\frac{-}{5}y=$ , $\pi=7x-2y$ , $4.2x-1.4y=2.1$ , $6y-1.5x=8$ . Analyze errors in $2x-y=5$ , $y=-2x+5$ .

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Problem 1928

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

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Problem 1929

Find values of $P$ that make the equation $3x - 5 = Px - 6$ have a unique solution.

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Problem 1930

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

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Problem 1931

Solve the linear equation $4 \cdot 0 + 5y = 5$ for the variable $y$ .

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Problem 1932

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

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Problem 1933

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

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Problem 1934

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

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Problem 1935

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

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Problem 1936

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

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Problem 1937

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

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Problem 1938

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

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Problem 1939

Solve the equation $|2 x-1|=8 x$ and check graphically. Select the correct choice: A. $x=$ (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 the derivative of the function $g(x)=\frac{4x+3}{x^2}$ .

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Problem 1941

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

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Problem 1942

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

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Problem 1943

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

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Problem 1944

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

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Problem 1945

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

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Problem 1946

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

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Problem 1947

Find $a_4$ if $a_1=5$ and $a_n=a_{n-1}-1$ .

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Problem 1948

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

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Problem 1949

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

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Problem 1950

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

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Problem 1951

Latoya has two exercise routines. Routine #1: 22 calories walking, $15.5$ calories/min running. Routine #2: 40 calories walking, $13.25$ calories/min running. Find time $t$ (min) running where Routine #1 burns at most as many calories as Routine #2.

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Problem 1952

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

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Problem 1953

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

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Problem 1954

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

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Problem 1955

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

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Problem 1956

Solve for the value of $x$ where $100=4:20$ .

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Problem 1957

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

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Problem 1958

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

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Problem 1959

Find the absolute value of -5.5.

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Problem 1960

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

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Problem 1961

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

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Problem 1962

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

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Problem 1963

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

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Problem 1964

Solve for $n$ in the equation $b n - w = f$ .

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Problem 1965

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

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Problem 1966

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

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Problem 1967

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

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Problem 1968

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

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Problem 1969

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

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Problem 1970

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

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Problem 1971

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

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Problem 1972

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

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Problem 1973

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

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Problem 1974

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

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Problem 1975

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

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Problem 1976

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

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Problem 1977

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

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Problem 1978

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

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Problem 1979

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

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Problem 1980

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

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Problem 1981

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

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Problem 1982

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

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Problem 1983

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

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Problem 1984

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

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Problem 1985

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

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Problem 1986

Add or subtract the given polynomials in $x$ and $y$ .

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Problem 1987

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

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Problem 1988

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. $3x+4=100$

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Problem 1989

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

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Problem 1990

Solve the linear equation $8-5x=-37$ for the value of $x$ .

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Problem 1991

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. $-4x + 14y^6 - z = 8y^6 - z \Leftrightarrow -4x + 6y^6 = 0$

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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 $a_{1}=0$ und $a_{0}=3$ d) Polynomgrad 7 mit 4 ungleich null Koeffizienten e) Gebrochen-rational mit senkrechter Asymptote $x=-2$

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Problem 1993

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

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Problem 1994

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

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Problem 1995

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

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Problem 1996

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

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Problem 1997

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

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Problem 1998

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

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Problem 1999

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

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Problem 2000

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

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Math

Problem 1901

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

Problem 1902

Find the values of (f∘g)(−5)(f \circ g)(-5)(f∘g)(−5), (g∘f)(15)(g \circ f)(15)(g∘f)(15), (f∘f)(6)(f \circ f)(6)(f∘f)(6), and (g∘g)(−3)(g \circ g)(-3)(g∘g)(−3) using the given table of f(x)f(x)f(x) and g(x)g(x)g(x).

Problem 1903

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

Problem 1904

Solve for xxx in the equation 2x3+2=10\frac{2 x}{3} + 2 = 1032x​+2=10.

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, 4989,84,61,27,95,39,7,86,59,7,40,45,80,32,49.

Problem 1906

Determine which table of xxx and yyy values satisfies the equation 14−1/3x=y14 - 1/3 x = y14−1/3x=y.

Problem 1907

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

Problem 1908

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

Problem 1909

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

Problem 1910

Evaluate 7x−97x-97x−9 when x=17x=\frac{1}{7}x=71​ and simplify the expression.

Problem 1911

Find the number of solutions to the linear equation 5p+3=5p−15p + 3 = 5p - 15p+3=5p−1.

Problem 1912

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

Problem 1913

Analyze gender gap in political beliefs and party ID. Identify response and explanatory variables. Calculate proportions of male/female Republicans. 83369\frac{83}{369}36983​ male Republicans, 98551\frac{98}{551}55198​ female Republicans.

Problem 1914

Simplify the expression 33⋅663 \sqrt{3} \cdot 6 \sqrt{6}33​⋅66​.

Problem 1915

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

Problem 1916

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

Problem 1917

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

Problem 1918

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

Problem 1919

Multiply 89\frac{8}{9}98​ by 12.

Problem 1920

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

Problem 1921

Find y-intercepts of f(x)=2x2x2+x−12f(x)=\frac{2 x^{2}}{x^{2}+x-12}f(x)=x2+x−122x2​. Simplify the answer and separate with commas if necessary.

Problem 1922

Solve the equation x2−2x=8x^{2} - 2x = 8x2−2x=8 graphically and round the solution to the nearest integer.

Problem 1923

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

Problem 1924

Simplify the expression p−(9−(m−q))+q2p-(9-(m-q))+q^{2}p−(9−(m−q))+q2 when m=4,p=5,q=3m=4, p=5, q=3m=4,p=5,q=3.

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$2126.06+$28.24+$18.38+$24.26=$2196.94.

Problem 1926

Find the solution to the equation 16=4x−416=4x-416=4x−4.

Problem 1927

Problem 1928

Find the derivative of g(x)=ax3+ax2+ag(x)=a x^{3}+a x^{2}+ag(x)=ax3+ax2+a and show g(1+2)=g′(1+2)−a2g(1+\sqrt{2})=g'(1+\sqrt{2})-a \sqrt{2}g(1+2​)=g′(1+2​)−a2​.

Problem 1929

Find values of PPP that make the equation 3x−5=Px−63x - 5 = Px - 63x−5=Px−6 have a unique solution.

Problem 1930

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

Problem 1931

Solve the linear equation 4⋅0+5y=54 \cdot 0 + 5y = 54⋅0+5y=5 for the variable yyy.

Problem 1932

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

Problem 1933

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

Problem 1934

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

Problem 1935

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

Problem 1936

Find the value of the fraction 13\frac{1}{3}31​.

Problem 1937

Find aaa when a∝ba \propto ba∝b and a=12a=12a=12 when b=2b=2b=2, given b=7b=7b=7.

Problem 1938

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

Problem 1939

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

Problem 1940

Find the derivative of the function g(x)=4x+3x2g(x)=\frac{4x+3}{x^2}g(x)=x24x+3​.

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

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

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

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

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

Determine which table of $x$ and $y$ values satisfies the equation $14 - 1/3 x = y$ .

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

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

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

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

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

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

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

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

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

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

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

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

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

Solve the following simple multiplication problems: $0.5 \times 0.4$ , $2.5 \times 0.2$ , $1.25 \times 0.5$ , $0.75 \times 0.2$ .

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

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

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

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

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

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

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

Find values of $P$ that make the equation $3x - 5 = Px - 6$ have a unique solution.

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

Solve the linear equation $4 \cdot 0 + 5y = 5$ for the variable $y$ .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Find $a_4$ if $a_1=5$ and $a_n=a_{n-1}-1$ .

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

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

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

Latoya has two exercise routines. Routine #1: 22 calories walking, $15.5$ calories/min running. Routine #2: 40 calories walking, $13.25$ calories/min running. Find time $t$ (min) running where Routine #1 burns at most as many calories as Routine #2.

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

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

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

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

Solve for the value of $x$ where $100=4:20$ .

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

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

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

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

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

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

Solve for $n$ in the equation $b n - w = f$ .

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

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

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

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

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

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

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

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

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

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