Let
be the cat's speed just as it leaves the edge of the table. Then taking the point 1.3 m below the edge of the table to be the origin, the cat's horizontal position at time
is given by

and its height is

where
is 9.8 m/s^2, the magnitude of the acceleration due to gravity.
The time it takes for the cat to hit the ground is
with

(Unfortunately, this doesn't match any of the given options...)
The cat lands 0.75 m away (horizontally) from the edge of the table, so that its speed
was

(Again, not one of the answer choices...)
I'm guessing there's either a typo in the question or answers.
Answer:
Richard used
of fabric for his project.
Step-by-step explanation:
Given:
Total amount of fabric = 
Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator, Add that to the numerator,Then write the result on top of the denominator.
can be Rewritten as 
Number of pieces fabric was cut = 4
Richard is given one of four pieces of equal-sized fabric.
Amount of fabric Richard was given = 
Amount of fabric left with Richard = 
We need to find the amount of fabric Richards used for his project.
Solution:
Now we can say that;
amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.
framing in equation form we get;
amount of fabric Richards used for his project = 
Now we will make the denominator common using LCM we get;
amount of fabric Richards used for his project = 
Now Denominator is same so we will solve the numerator.
amount of fabric Richards used for his project = 
can be rewritten as 
Hence Richard used
of fabric for his project.
Answer:
1st option
Step-by-step explanation:
given the graph of f(x) then the graph of f(x) ± c is a vertical translation of f(x)
• if - c then a shift down of c units
• if + c then a shift up of c units
then for f(x) + 4 is a shift up of 4 units
Step-by-step explanation:
Take John's sister's age as "x"
So, so twice his sister's age means = 2x
And 5 years more, means = 2x + 5
So finally John's age = 2x + 5
The sample space (list of outcomes) is:
DFNR; DFRN; DRFN; DRNF; DNFR; DNRF;
NFDR; NFRD; NRFD; NRDF; NDRF; NDFR;
RFDN; RFND; RNFD; RNDF; RDFN; RDNF;
FRDN; FRND; FNRD; FNDR; FDRN; FDNR
P(Dave beside Natalie) = 1/2
P(B,G,B,G or G,B,G,B) = 1/3
P(boys in the middle) = 1/6
P(Frida beside Natalie) = 1/2
P(Robbie between Frida & Natalie) = 1/6
P(Natalie between Dave & Robbie) = 1/6
Explanation
Letting D=Dave, R=Robbie, N=Natalie, and F=Frida you get the list of possibilites above.
For P(Dave beside Natalie), look for DN or ND. This appears 12 times out of the 24 possibilities above; 12/24 = 1/2.
For P(B,G,B,G or G,B,G,B), we have the possibilities DFRN, DNRF, RFDN, RNDF, FRND, FDNR, NDFR, NRFD. There are 8 possibilites out of 24; 8/24 = 1/3.
For P(Frida beside Natalie), look for NF or FN. This appears 12 times out of the 24 possibilities; 12/24 = 1/2.
For Robbie between Frida and Natalie, look for FRN or NRF. This appears 4 times out of 24; 4/24 = 1/6.
For Natalie between Robbie and Dave, look for RND or DNR. This appears 4 times out of 24; 4/24 = 1/6.