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masha68 [24]
1 year ago
9

The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50

+ 10 log x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g(x) = f(x) +10
which shows the graphs of f(x) and g(x)?

Mathematics
1 answer:
pashok25 [27]1 year ago
6 0

Answer:

the answer is A

Step-by-step explanation:

edgenuity

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What value of x would make KM ∥ JN?
stepan [7]

Answer:

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if \dfrac{JK}{KL}= \dfrac{NM}{ML} , then KM ∥ JN.

Substitute the expressions into the proportion:

\dfrac{x-5}{x}= \dfrac{x-3}{x+4}

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

x(x) + x(4) - 5(x) - 5(4) = x(x) + x(-3).

Multiply and simplify:

x^2 +4x- 5x - 20 = x^2-3x\\-x-20=-3x\\$Collect like terms$\\-x+3x=20\\2x=20\\$Divide both sides by 2\\x=10

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

4 0
1 year ago
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest
swat32
Given:
Card A - 1,879.58 ; APR 14%; monthly -43.73
Card B -    861.00 ; APR 10% ; monthly -18.29

5 years x 12 months/yr = 60 months.

Card A = 43.73 x 60 = 2,623.80
Card B = 18.29 x 60 = 1,097.40
Total : 2,623.80 + 1,097.40 = 3,721.20

Lowest APR is 10%. monthly rate: 0.83%
Total Card balance: 1,879.58 + 861 = 2,740.58

A = P * (r(1+r)^n) / [(1+r)^n -1]
A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]
A = 2,740.58 * 0.014/0.64
A = 2,740.58 * 0.022
A = 60.29 monthly payment.

60.29 x 60 = 3,617.40

Separate cards: 3,721.20
Consolidated:     3,617.40
Difference: 103.80

The closest among the choices is Choice C. 105.  Difference in amount may vary in the rounding off of the decimal numbers.
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1 year ago
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Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transform
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Answer:

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Step-by-step explanation:

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A girl had 20 coins in nickels and dimes whose sum was $1.40. She spent 65cents , using 8 coins. She now has ? nickels.
abruzzese [7]

Answer:

$0.75 nickels

Step-by-step explanation:

$1.40-$0.65=$0.75

$0.75 nickels

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