59,485 Answered Questions for the topic Math

Math Calculus

12/14/23

How fast is the water level rising when the water level is 5m from the bottom of the tank?
A hemispherical water tank with a radius of 10 m is filled from an inflow pipe at a rate of 3 m^3/min. How fast is the water level rising when the water level is 5m from the bottom of the tank?... more
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Math

12/14/23

Math problem (Simplifying an equation)
The above equation simplifies to this:I don't understand how though, please give a detailed step-by-step solution to the question.
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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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12/14/23

Which of the following transformations maps triangle JKL to triangle MNO? What is the relationship between the triangles?
Triangles JKL and MNO are shown in the figure.Which of the following transformations maps triangle JKL to triangle MNO? What is the relationship between the triangles?  Reflect triangle JKL over... more
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12/14/23

What are the coordinates of E' that will justify ∆DEF ~ ∆D'E'F'? 
The transformation of ∆DEF is described in the table. ∆DEF∆D'E'F' D (0, 0) D' (0, 0) E (3, 2) E' (x, y) F (7, 6) F' (14, 12) What are the coordinates of E' that will justify ∆DEF ~... more
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12/14/23

How fast is the tip of her shadow moving when she is 35 ft from the base of the pole?
A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35... more
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12/14/23

The radius of a sphere is increasing at a rate of 5 meters per hour. When the radius is 12 meters, then how fast is the VOLUME changing?
The radius of a sphere is increasing at a rate of 5 meters per hour. When the radius is 12 meters, then how fast is the VOLUME changing?Note: Volume of a sphere = (4/3) ⋅ π ⋅ (radius)3The rate of... more
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12/14/23

A circle is inside a square. The radius of a circle is increasing at a rate of 4 meters per day and the sides of the square are increasing at a rate of 3 meters per day.
A circle is inside a square.The radius of a circle is increasing at a rate of4 meters per day and the sides of the squareare increasing at a rate of 3 meters per day.When the radius is 3 meters,and... more
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Math Calculus

12/14/23

Suppose you want to find sqrt(49.08). The line tangent to the graph of y= sqrt(x) at x=49 will have equation y =  
Suppose you want to find sqrt(49.08)The line tangent to the graph of y= sqrt(x) at x=49 will have equation y =  This meanssqrt(x) ≈  _____Consequently sqrt(49.08) ≈  
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Math Calculus

12/14/23

Find the area under the curve f(x)=x3 on x=[1.5,4.5] using the Midpoint Rule with n=7
Find the area under the curve f(x)=x3 on x=[1.5,4.5] using the Midpoint Rule with n=7  
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12/14/23

Find the position function s(t) of a particle in motion if it is known that:
Find the position function s(t) of a particle in motion if it is known that: the particle's acceleration is constant with a(t)= -6 m/s2 the velocity of the particle at time t=2 is: -27 m/s the... more
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Math

12/14/23

Mika can eat 7 hot dogs in 11 minutes. She wants to know how many minutes it would take her to eat 42 hot dogs if she can keep up the same pace.

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Math

12/14/23

(-6,5) and (-6,-4)
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Math

12/14/23

or Find the slope of the line that passes through (9, 9) and (2, 5). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
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Math

12/14/23

how do you find the y intercept in tables
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Math

12/13/23

How many beads will be in each box?
Lily has 144 ceramic beads and 108 wooden beads. She plans to store the beads equally in 6 boxes. How many beads will be in each box?
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Math

12/13/23

intermediate math
The perimeter of a playing field for a certain sport is 314 ft. The field is a​ rectangle, and the length is 49 ft longer than the width. Find the dimensions.
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Math

12/13/23

How many fewer miles was the first trip than the second trip?
A bicycle group took two trips. On the first trip, they averaged 87 miles per day for 4 days and 78 miles per day for 3 days. On the second trip, they averaged 94 miles per day for 5 days and 69... more
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12/13/23

Page problem math
Stephanie began reading her library book at the top of page 7. She finished reading at the bottom of page 33. How many pages did she read?
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Math

12/13/23

A plant is 3 1/5 inches tall. It grows at a rate of 1 3/5inches per month. At the end of how many months will the plant be 8 inches tall?
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