How to solve x + y[tex]\frac{dy}{dx}[/tex] = 0

Given that solution goes to (2,0) Neither x nor y can exceed 2

Using the given logarithmic equation, it is found that 158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.

According to the logarithmic function given in the problem, the ratio between the amounts of energy released is given by:

log r = M1 - M2

In which M1 and M2 are the magnitudes.

In this problem, considering the earthquakes in Peru and Italy, the magnitudes are M1 = 8.1, M2 = 5.9, hence:

log r = M1 - M2

log r = 8.1 - 5.9

log r = 2.2

[tex]10^{\log{r}} = 10^{2.2}[/tex]

r = 158.5

158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.

More can be learned about logarithmic equations at https://brainly.com/question/25537936

Answer: D

Step-by-step explanation:

None of the above

Answer:

Step-by-step explanation:

d

Answer:

=(-1,-5)

Step-by-step explanation:

y=X1=4

y=-2x-5-2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) {}^{2} + 9 = 25[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) {}^{2} = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) = \pm4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: or \: \: - 3[/tex]

Answer:

Step-by-step explanation:

Volume of pentagonal prism = 309.6 cubic units

h = 7.2 units

[tex]\boxed{\text{Area of one of the base= $\dfrac{Volume}{h}$}}[/tex]

                                    [tex]\sf=\dfrac{309.6}{7.2}\\\\= 43 \ square \ units[/tex]

Answer:

V = V0 e^-k t     where V is the value of the car and t the time in years

ln (V/V0) = - k t

k = -1/4 ln (96/280) = .268

V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621

Answer:

1 and -9

Step-by-step explanation:

We can find the number by looking at the factors of -9, which include 1 and -9, -1 and 9, and -3 and 3.

1 * -9 = -9

1 + (-9) = -8

Answer:

The number is 2

Step-by-step explanation:

The equation is: 1/4 (x + 10) = 2x - 1

1/4x + 2.5 = 2x - 1

Multiply everything by 4 to get rid of the fraction

x + 10 = 8x - 4

Subtract x from both sides

10 = 7x - 4

Add 4 to both sides

14 = 7x

Divide both sides by 7

x = 2

Answer:

5/10 and .5

Step-by-step explanation:

50/100 is 1/2 so 1/2 is equal to 5/10

5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5

hope it helps !

Answer:

[tex]\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}[/tex]

Step-by-step explanation:

For this, you need to know the rules of exponents:

If the coefficient is the same, you can do things to it (which I will get into)

In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.

For the first one, you can subtract the denominator exponent by the numerator exponent like so:

[tex]11^{4} * 11^{-11} = 11^{-7}\\[/tex]

(When you multiply, you add the exponents)

Also, the rule is: [tex]x^{-y} = \frac{1}{x^{y} }[/tex] or [tex]\frac{1}{x^{-y} } = x^{y}[/tex]

For the second one, you can use the rule mentioned before:

[tex]\frac{1}{11^{-4} } = 11^{4}[/tex]

For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)

So:

[tex](11^{-3} )^{-3} = 11^{9}[/tex]

Finally, the fourth one, you can simply just add the exponents:

[tex]11^{5} * 11^{2} = 11^{7}[/tex]

Then, just order them from least to greatest by their exponents value :)

Answer:

18 units

Step-by-step explanation:

Area = length * width (A = L * w)

So, in order to find the length when given the width and area, you have to divide the area by the width.

432 / 24 = 18

I hope this helps! Have a lovely day!! :)

Answer:

g(x) is the translation of f(x) 2 units to the left and 4 units down

Answer:

-2.3, 8.6 to the nearest tenth.

Step-by-step explanation:

-16t^2+100t+316=0

Simplify it first.

Divide  by -4:

4t^2 - 25t - 79 = 0

Using the quadratic formula:

x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8

= (25 +/- √(1889)) / 8

=   3.125 +/- 43.463/8

= 3.125 +/- 5.433

= -2.308, 8.558

Answer:

quadratic formula normally normally applies in such cases

Answer:

D = 110

Step-by-step explanation:

Given,

In a parallelogram ABCD,

∠A =70∘

∠A + ∠B = 180∘.. (supplementary angles)

∠B = 180∘ – 70∘ = 110∘

∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)

∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110

Answer:

What question are you talking about though

Answer: B) 24

Step-by-step explanation:

      All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.

Multiples of four are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc.

      I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.

24 / 2 = 12

24 / 4 = 6

Step-by-step explanation:

1) [tex] \Rightarrow \: \sf \: 4x + 8 - 2x + 7[/tex]

Combine like terms

[tex] \rightarrow \: \sf \: ( 4x - \textcolor{green}{2}x) + (7 + \textcolor{green}{8})[/tex]

Add 4x and 2x , 7 + 8

[tex] \rightarrow \sf \: 2x + 15[/tex]

~Done~

2) [tex] \Rightarrow \sf 2n ×5 ×2a[/tex]

[tex] \rightarrow \sf \:( 2n) (5) (2a)[/tex]

[tex] \rightarrow \sf \: 20an[/tex]

~Done~

Step-by-step explanation:

1.3+1.45/2

= 1.75/2

=0.875

Answer:

It will be 3 weeks until their savings account has the same amount of money in them.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

20.124

Step-by-step explanation:

remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so

9 x 9 = 81

18 x 18 = 324

324+81 = 405

now you have to sq root it (20.1246)

Answer:

y=2

Step-by-step explanation:

add 5 to 0 then divide 5 with 2

Answer:

Greatest: 531

Least: 135

Step-by-step explanation:

In order to make the greatest number, you want the highest number to be in the highest digits place.

In this case, 5 is the largest number

This is because having a number that is 500 is greater than a number that is 300 or  100.

Then, the next biggest number will be used for the next digit, which is 3, so 3 will be in the 10s place

Then the left over 1 will be in the single digits place, so the greatest number is

531

This is the same process as before, just instead of big numbers, you want little numbers

For the least number, you want the lowest number to be in the 100s place, which is 1

Then 3 is the next lowest number

and the left over is 5

So the least number you can make is:

135

Answer: 5

Step-by-step explanation:

Answer:

7.5 inches

peeeee

Answer:

72 square units

Step-by-step explanation:

H = 9 units

L = 8 units

A = H × L

A = 9 × 8

A = 72 square units

Answer:

x = 20 degrees.

Step-by-step explanation:

cos40∘=sin(x+30∘)​

sin (x + 30) = 0.766

x + 30 = arcsin 0.766 = 50

x = 50 - 30 = 20.

Answer:

x = 20

Step-by-step explanation:

cos(angle) = sin(complement of angle) , then

cos40 = sin(90 - 40) = sin50 , then

sin(x + 30) = sin50 , that is

x + 30 = 50 ( subtract 30 from both sides )

x = 20

Answer:

9m = 45

Step-by-step explanation:

if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:

9m = 45

where m is the number of marbles in the red jar.