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1 year ago

Find a122 of the sequence 5, 8, 11

1 answer:

8 0

5, 8, 11, ... is an arithmetic sequence where:

$a_1=5;\ a_2=8;\ d=8-5=3\\\\a_n=a_1+(n-1)d\to a_n=5+(n-1)\cdot3=5+3n-3=2+3n\\\\therefore\\\\a_{122}=2+3\cdot122=2+366=368$

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Jeff and his family are driving to visit his grandmother they have driven about 30 miles which is about 2/3 of the way how much

Scilla [17]

Answer: 15 miles

Step-by-step explanation:

2/3 of the way is 30 miles

Let x represent the total distance to grandmother's house, then

$\quad \dfrac{2}{3}x=30\\\\\rightarrow 2x=90\\\\\rightarrow x = 45$

Since the total distance is 45 and they have already driven 30 miles, there is 15 miles to go

3 0

1 year ago

Three percent of Jennie’s skin cells were burned when she escaped from a fire. If 3.7×10’(of her skin cells were burned then, ho

lora16 [44]

Answer:

The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ .

Step-by-step explanation:

Given as :

The percentage of Jennie's skin cell were burned = 3 %

The quantity of Jennie's skin cell were burned = 3.7 × $10^{10}$

Let The quantity of Jennie's skin cell were not burned = x

Let Total quantity of whole skin cell = n

Now, According to question

The quantity of Jennie's skin cell were burned = Total quantity of whole skin cell × percentage of Jennie's skin cell were burned

i.e 3.7 × $10^{10}$ = n × 3 %

Or, 3.7 × $10^{10}$ = n × $\dfrac{3}{100}$

Or, n = 3.7 × $10^{10}$ × $\dfrac{100}{3}$

Or, n = $\frac{3.7\times 10^{12}}{3}$

i.e n = 1.233 × $10^{12}$

Or, Total quantity of whole skin cell = n = 1.233 × $10^{12}$

Now, Again

∵ percentage of Jennie's skin cell were burned = 3 %

So, percentage of Jennie's skin cell were not burned = 100 % - 3 % = 97 %

so , The quantity of Jennie's skin cell were not burned = 97 % of Total quantity of whole skin cell

Or, x = $\frac{97}{100}$ × n

Or, x = $\frac{97}{100}$ × 1.233 × $10^{12}$

∴ x = 119.601 × $10^{10}$

So, The quantity of Jennie's skin cell were not burned = x = 119.601 × $10^{10}$

Hence, The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ . Answer

6 0

2 years ago

2. Juanita is asked to write the standard equation of a

Crazy boy [7]

Answer:

It is not. Also use ^2 to represent squaring a number.

Step-by-step explanation:

First, USE ^2 FOR SQUARED

It is not correct.

The standard equation of a circle is (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius.

In your question the center is (-2,3) and the radius is the length of the line segment from the center to any pointon the circle. nd hey, it tells us a point on the circle is (-2,6).

Let's take it one part at a time. we know h and k so let's plug them in.

(x-h)^2 + (y-k)^2

(x-(-2))^2 + (y-3)^2

(x+2)^2 + (y-3)^2

now r is the length of the line segment from (-2,3) and (-2,6). To get from (-2,3) to (-2,6) hopefully it is pretty obvious you just move up (so int he y direction) 3 spaces. this makes r = 3. int he formula we want r^2 and that is 9. The result is that the circle has a formula of:

(x-h)^2 + (y-k)^2 = r^2

(x+2)^2 + (y-3)^2 = 9

The formula Juanita got is actually a hyperbola.

8 0

1 year ago

kinsey earns $54,625 a year. she purchases a snowmobile for $12,005. how much of kinsey's yearly earnings does she have left?

pickupchik [31]

The answer would be $42,620. All you have to do is subtract.

8 0

1 year ago

Read 2 more answers

2.314 divided by 1.3

kirza4 [7]

1.78 is the correct answer.

5 0

1 year ago