## Mathematics Warm-Ups for CCSS, Grade 6, Mathematics

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what is a ratio

#### Relationship between the graph and inverse function, Interesting relationsh...

Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section.  Ther

#### Linear Equations, Tommy has a Nexus 4 that charges poorly. He placed his ph...

Tommy has a Nexus 4 that charges poorly. He placed his phone to charge,after 20 minutes the phone was 27% and after 85 minutes the phone was at 66%. Find how many percentage the p

#### Arithmetico geometric progression, find the sum of the following series upt...

find the sum of the following series upto n terms: 1*2+2*4+3*8+4*16+.....

#### Where is the bus in relation to the hotel, A bus picks up a group of touris...

A bus picks up a group of tourists at a hotel. The sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. Where is the bus in relat

#### Partial Differential Equation, Consider the wave equation u_tt - u_xx = 0 w...

Consider the wave equation u_tt - u_xx = 0 with u(x, 0) = f(x) = 1 if -1 Please provide me a detailed answer. I had worked the most part of this question and the only I would like

#### Positive real exponents, Simplify following and write the answers with only...

Simplify following and write the answers with only positive exponents.  (a) ( x 8.2 y -0.26 z 2 ) 0.5  (b)  (x 3 y -4.1   / x -2.7 ) -3 Solution  (a) (x 8.2

#### Determine principal strains and direction , A 100 by 150 mm rectangular pla...

A 100 by 150 mm rectangular plate is deformed as shown in the following figure. All dimensions shown in the figure are in millimeters.  Determine at point Q: (a) the strain compone

#### Examples on probability, 1. A machine comprises of three transformers A, B ...

1. A machine comprises of three transformers A, B and C. Such machine may operate if at least 2 transformers are working. The probability of each transformer working is given as di

#### Round 14.851 to the nearest tenth, Round 14.851 to the nearest tenth? T...

Round 14.851 to the nearest tenth? The tenths place is the ?rst number to the right of the decimal. Here the number 8 is in the tenths place. To decide whether to round up or

#### Solution of rectilinear figures, A tower and a monument stand on a level pl...

A tower and a monument stand on a level plane. the angles of depression on top and bottom of the monument viewed from the top of the tower are 13 degrees and 31 degrees, respective