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2 years ago

The sum of 11 and t is 22

Mathematics

2 answers:

kumpel [21]2 years ago

8 0

Answer:

Step-by-step explanation:

LenKa [72]2 years ago

5 0

You will add the two numbers together and add the t as well to make 33t

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

If ON = MN, find MN. A 4 B. 5 C. 4 square root 2 D. 4 square root 30

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

ON=MN, so triangle onm is a right isosclese triangle, so ON=NM=4 square root 2

4 0

3 years ago

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Catherine is using a spool of yarn to knit some items. She uses 14 3/8 yards of yarn to knit a scarf. The number of yards of yar

tresset_1 [31]

Answer:

17 5/8

Step-by-step explanation:

Thats the answer

7 0

3 years ago

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A child has 4 wooden blocks. How many different ways can she stack 3 of them into a tower?

faltersainse [42]

Answer:

Step-by-step explanation:

To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

$_{n}P_{k}=\dfrac{n!}{(n-k)!}$

n = 4

k = 3

$_{n}P_{k}=\dfrac{4!}{(4-3)!}$

$_{n}P_{k}=\dfrac{4!}{1!}$

$_{n}P_{k}=\dfrac{4*3*2*1!}{(1)!}$

$_{n}P_{k}=\dfrac{4*3*2*1!}{1}$

$_{n}P_{k}=\dfrac{24}{1}$

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2 years ago

Choose the best answer. * A B C D

viva [34]

Answer: I think its D

Explanation:I sort of made a coordinate graph

8 0

3 years ago

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