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3 years ago

(4.9 x 10-2) (9.80 x 102) in scientific notation

2 answers:

7 0

If you mean (4.9*10^-2) times (9.80*10^2) then the product is 4.802*10^1 in scientific notation.

Anastasy [175]3 years ago

6 0

Uma resposta desta desa e bem na cara e R=46981.2

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A rocket is fired directly upwards with a velocity of 80 ft/sec. The equation for its height, H, as a function of time, t, is

sleet_krkn [62]

Answer:

(c).

Step-by-step explanation:

h(t) = - 16 t² + 80 t

Coordinates of the vertex are:

t = - $\frac{80}{2(-16)}$ = $\frac{5}{2}$ = 2.5 sec. 

h = - 16(2.5)² + 80(2.5) = - 100 + 200 = 100 ft.

3 0

3 years ago

Write an expression for the 12th partial sum of the series 3/2+7/3+19/6+... using summation notation

lapo4ka [179]

Answer:

$S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]$

$S_{12}=73$

Step-by-step explanation:

$First\ term\ of\ the\ series(a_1)=\frac{3}{2}\\\\Second\ term\ of\ the\ series(a_2)=\frac{7}{3}\\\\Third\ term\ of\ the\ series(a_3)=\frac{19}{6}\\\\a_2-a_1=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\\\\a_3-a_2=\frac{19}{6}-\frac{7}{3}=\frac{5}{6}\\\\Hence\ it\ is\ an\ Arithmetic\ Series\ with\ first\ term=\frac{3}{2}\ and\ constant\ difference=\frac{5}{6}$

$a_1=\frac{3}{2}+0\times \frac{5}{6}\\\\a_2=\frac{3}{2}+1\times \frac{5}{6}\\\\a_3=\frac{3}{2}+2\times \frac{5}{6}\\\\.\\.\\.\\a_n=\frac{3}{2}+(n-1)\times \frac{5}{6}\\\\S_n=a_1+a_2+a_3+......+a_n\\\\S_n=(\frac{3}{2}+0\times \frac{5}{6})+(\frac{3}{2}+1\times \frac{5}{6})+(\frac{3}{2}+2\times \frac{5}{6})+....+(\frac{3}{2}+[n-1]\times \frac{5}{6})\\\\S_n=\sum_{i=1}^n [\frac{3}{2}+(i-1)\times \frac{5}{6}]\\\\S_n=(\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+...n\ times)+\frac{5}{6}(1+2+3+4+...+(n-1))\\\\$

$S_n=\frac{3}{2}\times n+\frac{5}{6}\times \frac{n(n-1)}{2}\\\\$

$S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]$

$S_{12}=\frac{3}{2}\times 12+\frac{5}{6}\times \frac{(12)(12-1)}{2}\\\\S_{12}=18+55\\\\S_{12}=73$

5 0

3 years ago

Jia sells duck eggs. A customer buys 4 cartons. There are 6 eggs in

kotykmax [81]

Answer:24

Step-by-step explanation:

If Jia sells duck eggs and a customer buys 4 cartoons and there are 6 eggs in each cartoon that means 6(4)=Number of eggs customer buys in all

One cartoon= 6 eggs

Two cartoon = 12 eggs

Three cartoon = 18 eggs

Four Cartoon = 24 eggs

So the Customer buys 24 eggs in all

8 0

3 years ago

6 and 11 over 8 + 9 and 2 over 11

nirvana33 [79]

Answer:

6+11/8 + 9+2/11

17/8+ 11/11

17 /8 +1

18/8

9/4

Step-by-step explanation:

hope that will help you

5 0

3 years ago

The measure of an angle is 49 degrees what is the measure of its complementary angle

alex41 [277]

Answer:

The complementary angle is 41 degrees

Step-by-step explanation:

A complementary angle is when two angles add up to 90

90 = 49 + x

90 - 49 = 49 - 49 + x

41 = x

8 0

3 years ago