1,084 Answered Questions for the topic ACT Math

08/16/24

How would you define ACT Math in your own words?
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Act Math Algebra 2 Geometry

08/04/24

ACT question equations of circles and finding x-intercepts
A circle with the equation x2 + y2 = 16 is graphed in the standard (x,y) coordinate plane. At what pointsdoes the circle intersect the x-axis?F. (−2,0) and (2,0)G. (−4,0) and (4,0)H. (−8,0) and... more
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Act Math Algebra 1 Algebra 2

08/04/24

evaluating composite functions
Given functions f(x) = 3x + 4 and g(x) = x2 − 2, what is the value of f(g(−3))?F. −29G. −27H. −20J. 23K. 25
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07/25/24

When you add three consecutive odd integers together, the sum equals 117. What are the three integers?
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07/11/24

What is the best way to improve my ACT English score?
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07/11/24

What are some quick tips for improving my ACT Math score?
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07/11/24

How can I improve on the ACT Reading section?
Will it help me, for example, to read lots of literature and high-quality articles? Should I work on improving my "speed-reading" skills? What can I do to beat the time limits? What kinds of... more
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Act Math

07/02/24

ACT Math solving equations
If x is any number other than 4 and 5, then (4-x)(x-5)/(x-4)(x-5) = ?
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Act Math Probability

06/09/24

A 2-digit number will be formed by randomly selecting each digit from the set {2, 3, 9}. What is the probability that the number formed will be 99?
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04/05/24

Combinatorics problem
Can You please help with this problem:A gate code requires a four-digit code for entry. Still, for security reasons, it always randomly assigns the digits to key positions (10 keys) so that all... more
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03/31/24

Which of the following statements is true? (calculus)
Consider the series from n=1 to ∞ ∑an , where an = ((e^(n-1))(√n+6))/(n+6)!In this problem you must attempt to use the Ratio Test to decide whether the series converges.Compute L=lim as n... more
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03/04/24

I need help with this, i think you are supposed to use matrices or something

Assume this is a closed Leontief model. We assume that in a village there are farmers, carpenters, and tailors, who provide the three essential goods: food, housing, and clothing. Suppose the... more
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02/18/24

probability and business statistics
grades and genderA B C TOTALMALE 6 20 14 40FEMALE 8 10 9 27TOTAL 14 30 23 67d. If one student is chosen at random, find the probability that the student got a “B” GIVEN they are male
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01/03/24

SAT PREP - Problem 1
Harry and Terry are each told to calculate . Harry gets the correct answer. Terry ignores the parentheses and calculates . If Harry's answer is  and Terry's answer is , what is ?
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Act Math Algebra 1

01/01/24

Calculate cost of gas based on mileage and gas price.
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
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Act Math Algebra 2

12/24/23

Math Section Question #57 from Official ACT Form Z18 (April 2023)

Which of the following systems when solved gives the values of a and b such that (3a)(3b) = 9 and 2a / 2b = 64?A. a+b = 2 a - b = 6B. a + b = 9 a - b = 64C. ab = 1 a/b = 6D. ab = 2 a/b... more
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12/22/23

Basic partial derivative verification question
I have F=y'(1+x2y'), and I need to find ∂F/∂y and ∂F/∂y'The answer I get for ∂F/∂y is 0, which is the correct one. However for ∂F/∂y' I should get 1+2x2y', but for some reason I get 1+2x2y'+y'x2.... more
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12/21/23

Solving a tricky integral in a simple way
I've been told that this tricky integral is fairly easy to solve with Laplace transform:However, I am not sure on the solution itself after taking the Laplace transform of the integral. Could... more
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12/20/23

Solving an interesting integral using residue

I have this interesting integral to solve using residues. So far I have only noted that cos(x)=Re(eix), but I can't seem to arrive at the full solution. I would appreciate any help.
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12/14/23

Which transformation will result in an image that is congruent to its pre-image?
Which transformation will result in an image that is congruent to its pre-image?  (x, y) → (−x, −4y)  (x, y) → (4x, y − 4)  (x, y) → (−4x, y) (x, y) → (−x, −y)
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12/14/23

After a dilation from the origin, ∆ABC maps onto ∆DEF. Which of the following statements is true?
After a dilation from the origin, ∆ABC maps onto ∆DEF. Which of the following statements is true?  m∠C = 4 · m∠F    ∠E ≅ ∠B  
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12/14/23

Which sequence of transformations will result in an image that is similar to its pre-image?
Which sequence of transformations will result in an image that is similar to its pre-image?  A translation followed by a rotation  A rotation followed by a translation A reflection followed by a... more
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12/14/23

The vertices of ∆MNO and ∆PQR are described in the table. How can ∆MNO ~ ∆PQR be justified using rigid and non-rigid transformations? 
The vertices of ∆MNO and ∆PQR are described in the table. ∆MNO∆PQR M (2, 4) P (−4, 8) N (5, 4) Q (−10, 8) O (6, 2) R (−12, 4) How can ∆MNO ~ ∆PQR be justified using rigid and non-rigid... more
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12/14/23

Which of the following statements describes the properties of triangles JKL and J''K''L'' after the transformations?
Triangle JKL is rotated 90° clockwise and then dilated by a scale factor of 4 centered at the origin. Which of the following statements describes the properties of triangles JKL and J''K''L'' after... more
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12/14/23

Quadrilaterals LMNO and PQRS are shown in the figure. Are quadrilaterals LMNO and PQRS similar?
Quadrilaterals LMNO and PQRS are shown in the figure.Are quadrilaterals LMNO and PQRS similar?  Yes, quadrilaterals LMNO and PQRS are similar because a translation and a dilation map quadrilateral... more
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