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lapo4ka [179]
3 years ago
7

1. What time will it be at the following places if it is 3am at 15°E?

Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0
A- 6am
B- 7am
C- 9 am
D- 10am
E- 11:40 am
I don’t know how to show work for this I just have a really good feeling this is correct‍♀️
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The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep
Alchen [17]
Ooh, fun

geometric sequences can be represented as
a_n=a(r)^{n-1}
so the first 3 terms are
a_1=a
a_2=a(r)
a_2=a(r)^2

the sum is -7/10
\frac{-7}{10}=a+ar+ar^2
and their product is -1/125
\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3

from the 2nd equation we can take the cube root of both sides to get
\frac{-1}{5}=ar
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r
subsituting -1/5 for ar
\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r
which simplifies to
\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for ax^2+bx+c=0
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}
so
for 2r²-5r+2=0
a=2
b=-5
c=2

r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}
r=\frac{5 \pm \sqrt{25-16}}{4}
r=\frac{5 \pm \sqrt{9}}{4}
r=\frac{5 \pm 3}{4}
so
r=\frac{5+3}{4}=\frac{8}{4}=2 or r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}

use them to solve for the value of a
\frac{-1}{5}=ar
\frac{-1}{5r}=a
try for r=2 and 1/2
a=\frac{-1}{10} or a=\frac{-2}{5}


test each
for a=-1/10 and r=2
a+ar+ar²=\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}
it works

for a=-2/5 and r=1/2
a+ar+ar²=\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}
it works


both have the same terms but one is simplified

the 3 numbers are \frac{-2}{5}, \frac{-1}{5}, and \frac{-1}{10}
6 0
3 years ago
What is <br> the equation of the line that passes through the points (-6,6) and (-1,-9)
IgorLugansk [536]

Answer:

The answer to the question provided is y = -3x - 12.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, what the slope formula is ☟

m = \frac{y_2 - y_1 }{x_2 - x_1}

➊ First: We are going to be solving for the slope.

m = \frac{  - 9 - 6}{ - 1 - ( - 6)} = \frac{ - 15}{ \: \: \: 5} = - 3

➋Second: We find the y-intercept.

y = mx + b \\ 6 = - 3( - 6) + b \\ 6 = 18 + b \\ \frac{  - 18 =  - 18 \: \: \: \: \:  \:  \:  \:  \:  \:  \:  \: }{ - 12 = b}

➌Third: Plug in.

y =  - 3x - 12

6 0
3 years ago
Please help me :( I’m struggling
QveST [7]

Answer:

im assuming its b because the quality for the pic is bad and i cant really see it

Step-by-step explanation:

5 0
3 years ago
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Facial shaving brushes are either bulb-shaped or fan-shaped. An experiment is to be conducted to determine whether the lather th
rusak2 [61]
I think it is A
Hope my answer help you?
8 0
3 years ago
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Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?
serious [3.7K]
6-4 because the equation for slope is m=y2-y1/x2-x1
6 0
3 years ago
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