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Q: The number of bacteria in a culture is modeled by the function n(t) = 100e 0-35t where t is measured...

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Q: Factor the common factor out of the given expression: 30y4z3x5 + 50y4z5 − 10y4z3x

A: To Determine: Factor the common factor out of the given expression: ...

Q: What is the domain of the function f(x)= x+5/x2+2x-8 ? ?

A: f(x)= x+5/x2+2x-8 is a rational function. If the denominator is 0 then the function will be undefin...

Q: f(x)={3x+5 if x<0 4x+7 if x>0 a.f(-2) b.f(0) c.f(3) d.f(-100)+f(100)

A: Given function is defined as, It states that when x is less than 0, f(x) = 3x + 5 and when x is gre...

Q: For Exercise, solve the equation. 2 &x – 3 2x + 5

A: We cross multiply

Q: The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner...

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Q: Given that f(z)= – 9 and g(x) = 9 – , calculate 2², (a) f(g(0))3D (b) g(f(0))3= Question Help: Messa...

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Q: For Exercise, write the set as a single interval. |(-0, 2) N (-3, 4] n [1, 3]

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Q: 11. x³ – 5x² – 9x +45 (hint: factor by grouping) -x3y2 - 6x2y³ (hint: first factor greatest factor)

A: GCF of first two terms is x^2, we factor it out. GCF of last two terms is -9, we factor it out.

Q: For Exercise, solve the equation. (See B Зх 5 21 - 14x 2r? х — 4 x - 2x – 8 x + 2

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Q: For Exercise, solve the equation. 3 5 За + 4 5a – 1

A: Cross multiply

Q: The price p, in dollars, of a certain commodity and the quantity x sold obey the demandequation p = ...

A: Hi there! Thank you for the question, but as per our guidelines we can solve only one question at a ...

Q: factor each trinomial. (answer all) 37. 3m2+14m+8 39. 15p2+24p+8 41. 12a3+10a2-42a

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Write sigma notation. 10 + 20 + 30 + 40 + 50 + •.. 00 ΣΙ 10 + 20 +30 + 40 + 50 + ••• = k =1 (Simplif...

A: We can factor out 10 from all the terms

Q: A graph is concave up on a given interval if it "bends" upward. A graph is concave down on a given i...

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Q: Find the volume of a beverage can that has a height of 6.3 in. and a radius of 1.3 in. Use 3.14 as a...

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Q: For Exercise, solve the equation. т + 2 т — 4 т+1 4

A: The given equation is

Q: Factor the common factor out of the given factor: 30m6 + 15mn2 − 25

A: Given expression

Q: Solve for x and y. 3x+2y=2 2x+2y=4

A: From the first equation we get: 3x+2y=2 Or, 2y=-3x+2

Q: Factor the common factor out of the given factor: − 48a2b2-56a3b-56a5b

A: Given,

Q: The enure graph of the function g is shown in the figure below. Write the domain and range of g usin...

A: Domain is the possible values of x. The x values are from -3 to 3, but -3 and 3 are not included. ...

Q: The re graph of the function f is shown in the figure below. Write the domain and range of f using i...

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Q: What are the x-intercepts of the equation? y=x2 −9/x2 −16

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Q: What is the vertex of the parabola y=(x-1)2-9?

A: Given the equation of parabola

Q: What is the parent graph of the following function and what transformations have taken place on it: ...

A: This is a parabola, so the parent graph is y=x2

Q: Factor the common factor out of given expression: 30b2+5ab − 15a2

A: Consider the given expression.

Q: Simplify: (1+ 6r2)+ (6r2 − 2 − 3r4)

A: Given expression is

Q: solve this polynomial equation by using factoring: 18x2-5=9x

A: Consider the polynomial equation. Simplify the equation. Subtract 9x from both side,

Q: Factor the common factor out of given expression: 21p6 + 30p2+27

A: Common factor of 21,30 and 27 is =3 The last term does not have p in it So we can not factor out p ...

Q: I am in Fundamental Mathematics 3. -3.4-4.7 is the problem. Thank you

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Q: i have to make a table and a graph for the problem 2x - y = 4 and i dont understand how to solve the...

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Q: What is the equation of a circle with center (-4, 2) and diameter 6?

A: Given: The center of circle is (-4, 2) and diameter is 6.

Q: I am in Fundamental Mathematics 3. -⅖-7/10 is the problem Thank you

A: LCM of 5 and 10 : 5=5 10= 2 x 5 LCM of 5 and 10 = 5 x 2 = 10

Q: Simplify: (1+ 5p3) − (1 − 8p3)

A: Given expression

Q: Simplify: (7m2 + 5m3) − (6m3 − 5m2)

A: We distribute the negative first

Q: Factor the common factor out in the given expression: − 10y7 +6y10− 4y10x − 8y8x

A: Given,

Q: Factor each of the following, factor each completely. First look to see if it is a special factoring...

A: Factoring is a process in which an expression is changed from sum or difference of terms to a produc...

Q: Write a quadratic function h whose zeros are -5 and -4

A: If f(x) is a quadratic function, and a and b are the root of the function. Then the function can me ...

Q: Simplify: (1 − 3n4 − 8n3) +(7n4+ 2 − 6n2 + 3n3)+(4n3 +8n4 + 7)

A: Given expression

Q: Factorize: 12x2+ 50xy + 28y2

A: We factor out 2 from the whole expression first, because it is the GCF

Q: For Exercise, solve the equation. 4 2 d – d 2d + 5d 2d + 3d – 5

A: Given,

Q: Explain why the graph of h(r) = Vtr can be interpreted as a horizontal stretch of the graph of f(x) ...

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Q: Simplity, using i notation as needed. V-343 The answer is (Simplify your answer. Type an exact answe...

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Q: For Exercise, use a calculator to approximate the expression to 2 decimal places 6 - 3V5 4

A: To Determine: Calculate the value of given expression to 2 decimal places. ...

Q: The carvings of the faces at Mount Rushmore in South Dakota measure 60 ft from chin to forehead. If ...

A: Let the approximate distance between the pupils on the carving of George Washington's head is = x ft...

Q: Write an expression that correctly represents the relationship shown between the side lengths x and ...

A: The inside has a width in three parts 5,x and 4 We add them to get the total width (5+x+4)=(x+9)

Q: T and I Construction is paving a rectangular-shaped parking lot with Hot Asphalt Mix. The parking lo...

A: To determine the amount of Asphalt needed.

Q: A circuit has a current of (8 + 7i) amps, and another circuit has a current of (5 − 3i) amps. Wha...

A: Given, The first circuit has a current of (8 + 7i) amps The second circuit has a current of (5-3i) a...

Q: Solve the inequalities. x + 1 a. b. х — 5 C. 20 d.

A: (Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the questio...

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g usi...

A: We want to find out the domain and range of the function shown in the above graph.

Transcribed Image Text

The equation r =, 3V gives the radiusr of a sphere of volume V. If the radius of a sphere is 6 in., find the exact volume.