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____ [38]
3 years ago
13

What is the simples form of the the following expression? 2 square root 18 + 3 square root 2 + square root 162

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

18 sqrt(2)

Step-by-step explanation:

Simplify the following:

2 sqrt(18) + 3 sqrt(2) + sqrt(162)

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):

2×3 sqrt(2) + 3 sqrt(2) + sqrt(162)

2×3 = 6:

6 sqrt(2) + 3 sqrt(2) + sqrt(162)

sqrt(162) = sqrt(2×3^4) = 3^2 sqrt(2):

6 sqrt(2) + 3 sqrt(2) + 3^2 sqrt(2)

3^2 = 9:

6 sqrt(2) + 3 sqrt(2) + 9 sqrt(2)

Add like terms. 6 sqrt(2) + 3 sqrt(2) + 9 sqrt(2) = 18 sqrt(2):

Answer:  18 sqrt(2)

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\bf \qquad \textit{Amount for Exponential Decay}\\\\
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8 0
3 years ago
Read 2 more answers
Need help with this question
solniwko [45]
A₁ = -8  This is the first term in an arithmetic sequence.
d = 3, the common difference

a(n) = a₁ + d(n-1)

a₇ = -8 + 3(7-1)
a₇ = -8 + 3(6)
a₇ = -8 + 18
a₇ = 10

To check:
a₁ = -8
a₂ = -8 + 3 = -5
a₃ = -5 + 3 = -2
a₄ = -2 + 3 = 1
a₅ = 1 + 3 = 4
a₆ = 4 + 3 = 7
a₇ = 7 + 3 = 10
6 0
3 years ago
Witch is better to buy $6.15 for 24 fl oz of dishwashing liquid or $9.60 for 42 fl oz of dishwashing liquid?
solniwko [45]

Answer:

$9.60 for 42 fl oz

Step-by-step explanation:

$6.15 x 2=$12.30

$12.30 for 44 fl oz

$12.30-$9.60=$2.70

you would be paying $2.70 for 4 fl oz when 4 fl oz is 93 cent

4 0
3 years ago
Read 2 more answers
Find m∠FGL.
Lady bird [3.3K]

Answer:

C) \displaystyle 30°

Step-by-step explanation:

Use the Angle Addition Postulate to figure this out:

\displaystyle m∠FGL + m∠LGH = m∠FGH

165° = (x + 15)° + (9x)°

165° = (15 + 10x)°

- 15° - 15°

_____________

\displaystyle \frac{150°}{10} = \frac{[10x]°}{10} \\ \\

\displaystyle 15° = x[Plug this back into the modeled expression for the m∠FGLto get the angle measure of 30°]; \displaystyle 30° = m∠FGL

I am joyous to assist you anytime.

3 0
3 years ago
Read 2 more answers
Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27.
padilas [110]

Answer:

78

Step-by-step explanation:

The IQR is quartile 3 - quartile 1. First, we need to find the mean of the dataset, which is 50 -- the fifth number. Then, the median of the dataset on the left of the fifth number is the first quartile, and the median of the dataset on the right is the third. We get Q1 to then be halfway between 30 and 50, or 40, and Q3 to be halfway between 56 and n, so Q3 = (56+n)/2. Since we need Q3-Q1=27, or (56+n)/2-40=27, we have (56+n)/2=67 and 56+n=134, so n = 134-56=78

3 0
3 years ago
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