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2 years ago

Write two addition sentences where the sum is positive in each sentence ,one addened

1 answer:

5 0

10 + (-5) = 10 - 5 = 5

-11 + 20 = 20 + (-11) = 20 - 11 = 9

102 + (-1) = 102 - 1 = 101

<span>-20 + 60 = 60 + (-20) = 60 - 20 = 40</span>

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One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom

liraira [26]

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = $10\log(\frac{I_2}{I_1})$

and the relation between intensity and distance is given as:

I ∝ $\frac{1}{d^2}$

Id² = constant

thus,

I₁d₁² = I₂d₂²

$\frac{I_2}{I_1}=\frac{d_1}{d_2}$

therefore,

I = $10\log(\frac{d_1}{d_2})^2$

I = $10\times2\times\log(\frac{161}{4,800})$

I = 20 × (-1.474)

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

8 0

2 years ago

Solve each system by graphing. If the solution is not unique, identify the system as “inconsistent” or “dependent”

lapo4ka [179]

Answer:

therefore the solution of the system of equations is (x,y) = (4,2)

the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"

Step-by-step explanation:

i) x + 2 = 6 $\Rightarrow$ x = 4

ii) x - y = 2 $\Rightarrow$ 4 - y = 2 , therefore y = 4 - 2 , therefore y = 2

iii) therefore the solution of the system of equations is (x,y) = (4,2)

iv) the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"

6 0

3 years ago

Need help with these 2 problems

ololo11 [35]

Q does not equal to 3
n is greater than or equal to 6

8 0

2 years ago

Read 2 more answers

7. The difference of Grandma Annie's age and twice Carl's is 22. Gran

OlgaM077 [116]

<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

<em>Difference</em> = subtract
<em>Twice</em> = double
<em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

Difference of Annie's age and twice Carl's age is 22
Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

Let Annie's age be equal to <em>x.</em>
Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

Difference of Annie's age and twice Carl's age is 22
⇒ $x-2y=22$

Annie's age is 13 less than 3 times Carl's age
⇒ $x=3y-13$

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

$(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35$

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

$x=3y-13\\x=3(35)-13\\x=105-13\\x=92$

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0

2 years ago

Identify the domain and the range <br> (1,-4),(2,-3,),(3,-2),(4,1),(5,0)

horsena [70]

The domain is the x value and the range is the y value DOMAIN: {1, 2, 3, 4, 5} RANGE: {-4, -3, -2, -1, 0}

3 0

3 years ago