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jenyasd209 [6]
3 years ago
7

Find the 11th term from the end in the AP 56, 63, 70,..., 329

Mathematics
1 answer:
lara [203]3 years ago
4 0
Given sequence:
56, 63, 70,..., 329
First find the common difference:
d=a2-a1
d=63-56
d=7
Formula:
an=a1+(n-1)d
First find the number of terms.
329=56+(n-1)7
329=56+7n-7
329=49+7n
280=7n
40=n
or
n=40
We have to find 40-11=29 th term ( 11 th term from the end)
a29= 56+(29-1)7
a29=56+(28)7
a29=56+196
a29=252

Answer: 252 is 11th term from the end.

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4 0
3 years ago
Find the number of ways to distribute six different toys to three different children such that each child gets at least one toy.
Lisa [10]

Answer:

Step-by-step explanation:

Given that there are six different toys and they are to be distributed to three different children.

The restraint here is each child gets atleast one toy.

Let us consider the situation as this.

Since each child has to get atleast one toy no of ways to distribute

any 3 toys to the three children each.  This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways

So 3 toys to each one in 6x5x4 =120 ways

Now remaining 3 toys can be given to any child.

Hence remaining 3 toys can be distributed in 3x3x3 =27 ways

Total no of ways

= 120(27)

= 3240

8 0
3 years ago
Jacob consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Jacob's body
sasho [114]

Answer: 0.87400mg of caffeine.

Step-by-step explanation:

You have

N(t)=N0(e^−rt)(1)

as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,

N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)

Taking the last 2 parts of (2) to the power of 0.1t gives

e^−rt=0.2601^.1t . .(3)

This means that

N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)

Also,

N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1

= 0.87400mg of caffeine.

6 0
3 years ago
Find the 60th term of the arithmetic sequence <br> −29,−49,−69,...
andreev551 [17]

Answer:

89

Step-by-step explanation:

it is basically counting by 2s but rather by 20s.

20, 40,60,80

all you do is add a 9 at the end.

6 0
3 years ago
Practice order of operations 8+3×2-4
REY [17]

Answer:

10

Step-by-step explanation:

The acronym PEMDAS is helpful when learning order of operations. It stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction which is the order in which you solve an equation. For this set of numbers there are no parenthesis or exponents so you would start by multiplying 3*2=6 Then add the 8 to the 6 and you get 14 Subtract the 4 and the answer is 10

4 0
3 years ago
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