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Nataly [62]
3 years ago
5

Simplify the following expression: -7(3e-2f+4)+6e-2

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer:

-15e+14f-30

Step-by-step explanation:

First using distributive property to expand the first term:

-21e+14f-28+6e-2

Combining like terms:

-15e+14f-30

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A circle has a radius of 15 feet. What is the area of<br> the circle?
MatroZZZ [7]

Answer:

A = 706.5 ft 2

Step-by-step explanation:

A = π ( 15  ft ) 2

A = π 225ft 2

A = 225 π  ft 2

A = 225 ⋅ 3.14  ft 2

6 0
3 years ago
45% of 20 is what I need help and I need u to explain it please thank u
lora16 [44]
45% of 20
20  times 0.45
= 9 
The answer is 9
5 0
3 years ago
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.
Naya [18.7K]
It's a geometric sequence.

4,-12,36,... \\ \\&#10;a_1=4 \\&#10;r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\&#10;a_n=a_1 \times r^{n-1} \\&#10;a_n=4 \times (-3)^{n-1} \\&#10;a_n=4 \times (-3)^{-1} \times (-3)^n \\&#10;a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\&#10;a_n=-\frac{4}{3}(-3)^n

It's the sum for term 4 through term 15.

 \boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}
8 0
3 years ago
How do you simplify (-1 - 3 √(3) × (-1 - 3 √(3)
harina [27]

Answer:

4 + 6√(3)

Step-by-step explanation:

Two right parentheses seem to be missing here.  I think you meant:

(-1 - 3 √(3) ) × (-1 - 3 √(3) )

and this is the square of a binomial.  The resulting square is:

1 + 6√3 + 3, or 4 + 6√(3)

5 0
3 years ago
Consider the line y=9x-5.
igomit [66]
Y = 9x - 5...the slope here is 9...a parallel line will have the same slope.

y = mx + b
slope(m) = 9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = 9(5) + b
-4 = 45 + b
-4 - 45 = b
-49 = b
so ur parallel line is : y = 9x - 49

y = 9x - 5...slope is 9. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/9.

y = mx + b
slope(m) = -1/9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = -1/9(5) + b
-4 = -5/9 + b
-4 + 5/9 = b
-36/9 + 5/9 = b
- 31/9 = b

so ur perpendicular line is : y = -1/9x - 31/9

6 0
3 years ago
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