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3 years ago

X^2 - x -12 < 0

Mathematics

1 answer:

Semenov [28]3 years ago

5 0

C) is the correct answer

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How many decibels is this? show work

slavikrds [6]

Answer:

115 dB

Explanation:

1. Given equation:

$\beta =10log(\frac{I}{I_0})\\\\ I_0=10^{-12}W/m^2$

2. Given intensity:

$I=0.315W/m^2$

3. Decibels

$\beta =10log(0.315/10^{-12})\\ \\ \beta =10log(315,000,000,000)\\ \\ \beta =10(11.498)=114.98\approx 115$

4 0

3 years ago

The slope of the tangent line to the curve x^3y+y^2-x^2=5 at the point (2,1) is

zheka24 [161]

Answer:

-4/5

Step-by-step explanation:

To find the slope of the tangent to the equation at any point we must differentiate the equation.

x^3y+y^2-x^2=5

3x^2y+x^3y'+2yy'-2x=0

Gather terms with y' on one side and terms without on opposing side.

x^3y'+2yy'=2x-3x^2y

Factor left side

y'(x^3+2y)=2x-3x^2y

Divide both sides by (x^3+2y)

y'=(2x-3x^2y)/(x^3+2y)

y' is the slope any tangent to the given equation at point (x,y).

Plug in (2,1):

y'=(2(2)-3(2)^2(1))/((2)^3+2(1))

Simplify:

y'=(4-12)/(8+2)

y'=-8/10

y'=-4/5

5 0

2 years ago

Kevin had a total of $320 to spend while shopping. He had spent $156 on video games. He wants to buy caps that are on sale for $

zloy xaker [14]

Maximum number of caps that Kevin can buy is 10.

Solution:

Total money for shopping = $320

Amount spent for video game = $156

Remaining amount that Kevin had = $320 – $156

= $164

Cost of each cap including tax = $15

$\text{Number of caps can buy }=\frac{\text { Remaining amount that Kevin had }}{\text { cost of each cap }}$

$$=\frac{164}{15}$

$$=10\frac{14}{15}$

Maximum number of caps that Kevin can buy is 10.

8 0

3 years ago

Write each phrase as an algebraic expression. 16 seconds faster than Aya’s time.

Anna35 [415]

Given:

The given phrase is 16 seconds faster than Aya’s time.

To find:

The algebraic expression for the given phrase.

Solution:

Let x be the Aya’s time.

16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.

We know that a negative sign "-" is used for less than.

16 seconds less than Aya’s time = $x-16$

16 seconds faster than Aya’s time = $x-16$

Therefore, the required algebraic expression is $x-16$ .

8 0

3 years ago

15•(3 + b) = 45 + b

Alekssandra [29.7K]

Subtract 15 from both sides that gets rid of 15 and your left with 3b =30b divide 3 on both sides and the answer is 10

8 0

2 years ago