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2 years ago

Please help!! \ ( ꒪⌓꒪) /

Mathematics

2 answers:

Setler79 [48]2 years ago

8 0

Answer:25

Step-by-step explanation:12+13=15

maks197457 [2]2 years ago

3 0

Answer:

the answer is D.

Step-by-step explanation:

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The value of y varies directly with x. When y = 7, x = 2. what is the value of x when y is 21?

mrs_skeptik [129]

Y=kx
7=k(2)
k=7/2

y=kx
21=7/2(x)
x=6

8 0

2 years ago

In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2010, Haiti also experienced a

serg [7]

Answer:

The intensity of the earthquake in Chile was about 16 times the intensity of the earthquake in Haiti.

Step-by-step explanation:

Given:

magnitude of earthquake in Chile = 8.2

magnitude of earthquake in Haiti = 7.0

To find:

Compare the intensities of the two earthquakes

Solution:

The magnitude R of earthquake is measured by R = log I

R is basically the magnitude on Richter scale

I is the intensity of shock wave

For Chile:

given magnitude R of earthquake in Chile = 8.2

R = log I

8.2 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

8.2 = log I becomes:

$I = 10^{8.2}$

So the intensity of the earthquake in Chile:

$I_{Chile} = 10^{8.2}$

For Haiti:

R = log I

7.0 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

7.0 = log I becomes:

$I = 10^{7.0}$

So the intensity of the earthquake in Haiti:

$I_{Haiti} = 10^{7}$

Compare the two intensities :

$\frac{I_{Chile} }{I_{Haiti} } }$

$= \frac{10^{8.2} }{10^{7} }$

= $10^{8.2-7.0}$

= $10^{1.2}$

= 15.848932

Round to the nearest whole number:

Hence former earthquake was 16 times as intense as the latter earthquake.

Another way to compare intensities:

Find the ratio of the intensities i.e. $\frac{I_{Chile} }{I_{Haiti} } }$

$log I_{Chile}$ - $log I_{Haiti}$ = 8.2 - 7.0

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

Convert this logarithmic equation to an exponential equation

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

$10^{1.2}$ = $\frac{I_{Chile} }{I_{Haiti} } }$

Hence

$\frac{I_{Chile} }{I_{Haiti} } }$ = 16

6 0

2 years ago

1 1/2= v + 3/4 (that's 1 and a half, not 11 over 2)<br> what is v?

Irina-Kira [14]

Answer:

The value of v is 3/4.

Step-by-step explanation:

First, you have to convert mixed number into improper fraction :

$1 \frac{1}{2} \\ = \frac{2 \times 1 + 1}{2} \\ = \frac{3}{2}$

In order to find the value of v, you have to substract 3/4 to both sides :

$\frac{3}{2} = v + \frac{3}{4}$

$\frac{3}{2} - \frac{3}{4} = v + \frac{3}{4} - \frac{3}{4}$

$v = \frac{3 \times 2}{2 \times 2} - \frac{3}{4}$

$v = \frac{6}{4} - \frac{3}{4}$

$v = \frac{3}{4}$

8 0

2 years ago

Read 2 more answers

If f(x)=-9x-3, find f(-5)

Andrews [41]

Answer:

Step-by-step explanation:

f(-5) = -9 × (-5) - 3 = 45 - 3 = 42

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

5 0

2 years ago

Find the exact area of the sector of the circle with the following radius and central angle

Lostsunrise [7]

THe area of the whole circle is pi r^2 = 6^2 * pi = 36pi

There are 360 degrees in a crcle so this sectors area i (30/360) *36pi

= 3 pi

5 0

2 years ago