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2 years ago

11

Determine the product (4.2×10^-1)+(5.7+10^-1)

1 answer:

Alexus [3.1K]2 years ago

6 0

Answer: 6.22

Step-by-step explanation:

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B. There are 47 cats. There are 18 fewer cats than birds. How many birds are in

ivolga24 [154]

Answer:

65

Step-by-step explanation

47 + 18 = 65

6 0

2 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

2 years ago

Can someone help me with this please

Yuri [45]

Answer:

ofc ill help! x=-35

Step-by-step explanation:

4 0

2 years ago

Construct and interpret a 95% confidence interval to estimate the proportion of the earth that is water. Show all work. Make sur

blondinia [14]

the answer would be 2

3 0

2 years ago

How is 33 the answer to 6% of 550

NikAS [45]

Is %
=
of 100

x 6
=
550 100
cross multiply and divide

100x=3300
divide both sides by 100
x=33

6 0

2 years ago