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stepladder [879]

3 years ago

5

What is the value of x when the Richter scale rating is 4.4? Round your answer to the nearest hundredth. Pls help

1 answer:

Lemur [1.5K]3 years ago

5 0

Hello,

We have to use this relation : $\text{rating}=\log(\text{ratio})$

He we have :

$\log_{10}(x)=4.4\\\\\text{then }x=10^{\log_{10}(x)}\\\\\rightarrow x=10^{4.4}\\\\\rightarrow x=25\ 118.864\\\rightarrow x=25\ 118.86$

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Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.

Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is $Q(x,y)$ is predicate that $x$ then $x^{2}$ . where $x,y$ are rational numbers.

a)

when $x=-2, y=1$

Here $-2$ that is $x$ satisfied. Then

$(-2)^{2}$

$4$ this is wrong. since $4>1$

That is $x^{2}$ $>y^{2}$ Thus $Q(x,y)$ $=Q(-2,1)$ is false.

b)

Assume $Q(x,y)=Q(-5,2)$ .

That is $x=-5, y=2$

Here $-5$ that is $x$ this condition is satisfied.

Then

$(-5)^{2}$

$25$ this is not true. since $25>4$ .

This is similar to the truth value of part (a).

Since in both $x$ satisfied and $x^{2} >y^{2}$ for both the points.

c)

if $Q(x,y)=Q(3,8)$ that is $x=3$ and $y=8$

Here $3$ this satisfies the condition $x$ .

Then $3^{2}$

$9$ This also satisfies the condition $x^{2}$ .

Hence $Q(3,8)$ exists and it is true.

d)

Assume $Q(x,y)=Q(9,10)$

Here $9$ satisfies the condition $x$

Then $9^{2}$

$81$ satisfies the condition $x^{2}$ .

Thus, $Q(9,10)$ point exists and it is true. This satisfies the same values as in part (c)

6 0

3 years ago

Who is farthest from the school

postnew [5]

Using the law of cosines:

The grocery store to the school:

Distance = √(7^2 + 10^2 - 2*7*10*cos(100)

Distance = 13.16 miles

The movie store to the school:

Distance = √(7^2 + 10^2 - 2*7*10*cos(120)

Distance = 14.80 miles

The friend is further away.

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3 years ago

2657ml converted to liter is?

Luda [366]

Answer: 2657ml converted to liters is 2.657

Step-by-step explanation: hope this helps

4 0

2 years ago

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Solve the following proportion for v. v/12=13/7 Round your answer to the nearest tenth. Plz help

Liula [17]

Answer:

22.3

Step-by-step explanation:

divide 13/7 = 1.86

multiply 1.86x12 = 22.3

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3 years ago

Which number has two lines of symmetry?

qaws [65]

I think the answer is d

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