A camper attaches a rope to the top of her tent to give it more support. She stakes the rope, which is 8 ft long, to the ground at a distance of 6 feet from the middle of her tent. About how tall is her tent?

Answer:

[tex]y'= \dfrac{2}{3}e^{2x + e^{2x}/3}[/tex]

Step-by-step explanation:

We have [tex]e^{2x} = \ln(y^3)[/tex] and we want the implicit differentiation [tex]\dfrac{dy}{dx}f(x) = y'[/tex]

Therefore, we want to separate the [tex]y[/tex] from the equation.

[tex]\ln(y^3) =e^{2x} \implies 3 \ln(y) = e^{2x} \implies \ln(y) = \dfrac{e^{2x} }{3}[/tex]

[tex]\implies e^{\ln(y)} = e^{e^{2x}/3} \implies \boxed{y = e^{e^{2x}/3}}[/tex]

Now we can calculate the derivative. By the chain rule,

[tex]y' = \dfrac{d}{dx}\left(e^{e^{2x}/3}\right) = e^{e^{2x}/3}\dfrac{d}{dx}\left(\dfrac{e^{2x}}{3}\right)[/tex]

Now

[tex]\dfrac{d}{dx}\left(\dfrac{e^{2x}}{3}\right) =\dfrac{1}{3}\dfrac{d}{dx}\left(e^{2x}\right) = \dfrac{2}{3}e^{2x}[/tex]

Therefore

[tex]y' = e^{e^{2x}/3}\cdot \dfrac{2}{3}e^{2x} = \dfrac{2}{3}e^{2x + e^{2x}/3}[/tex]

Answer:

3 (B)

Step-by-step explanation:

rise/run

rise=3

run=1

3/1=3

Answer:

C)105

Step-by-step explanation:

sizde benim sorduğum soruları cevaplarsanız sevinirim doğru ve hızlı bir şekilde

Answer:

C=50.27mm

Step-by-step explanation:

C=2πr=2·π·8≈50.26548mm

Answer:

[tex]\boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for the sum of 2 fractions.}[/tex]

[tex]\large\underline{\textsf{What are Fractions?}}[/tex]

[tex]\textsf{Fractions are representations of rational numbers that can be represented as part}[/tex]

[tex]\textsf{of a whole number.}[/tex]

[tex]\underline{\textsf{What are the parts of a fraction?}}[/tex]

[tex]\textsf{Fractions have 2 parts, they're called the Numerator and the Denominator.}[/tex]

[tex]\frac{\sf Numerator}{\sf Denominator}[/tex]

[tex]\textsf{The Numerator represents the amount of equal parts a certain rational number}[/tex]

[tex]\textsf{has compared to the Denominator. The Denominator represents the total amount}[/tex]

[tex]\textsf{of parts that make a fraction equal to 1. If the Numerator is the same as the}[/tex]

[tex]\textsf{Denominator, then the fraction is just 1. If the Numerator is greater than 1, then}[/tex]

[tex]\textsf{this kind of fraction is considered an Improper Fraction, and improper fractions}[/tex]

[tex]\textsf{are fractions that are improper due to the Numerator being greater than the}[/tex]

[tex]\textsf{Denominator, which means these fractions shouldn't be represented as fractions,}[/tex]

[tex]\textsf{but there's nothing wrong with representing it as a fraction.}[/tex]

[tex]\textsf{Since we know what majority of fractions are, we may begin adding these fractions}[/tex]

[tex]\textsf{which are improper.}[/tex]

[tex]\large\underline{\textsf{How are we able to Add Fractions?}}[/tex]

[tex]\textsf{Adding Fractions is simply adding the Numerators together since the Denominator}[/tex]

[tex]\textsf{can't be changed, if so then the equation won't be equal.}[/tex]

[tex]\textsf{*Remember that when adding fractions we must have common denominators.}[/tex]

[tex]\textsf{This means that we should find the LCM (Least Common Multiple) of the}[/tex]

[tex]\textsf{Denominators.}[/tex]

[tex]\underline{\textsf{For our problem;}}[/tex]

[tex]\textsf{Since we already have Common Denominators, we are able to simply add the}[/tex]

[tex]\textsf{Numerators.}[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Add the Numerators together.}[/tex]

[tex]\tt \frac{\boxed{\tt 23}}{9} + \frac{\boxed{\tt 17}}{9} =\boxed{\tt \frac{40}9}[/tex]

[tex]\tt \frac{40}{9} \ \textsf{can be our final answer. However, since our sum is an Improper Fraction, it's}[/tex]

[tex]\textsf{greater than 1. Since 40 can divide into 9 about 4 times, our whole number will}[/tex]

[tex]\textsf{be 4, and the remainder will be our fraction.}[/tex]

[tex]\underline{\textsf{Explained in numerical;}}[/tex]

[tex]\tt \frac{40}{9} = \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{4}{9} = \boxed{\tt 4 \frac{4}{9}}[/tex]

[tex]*\tt \frac{36}{9} = \frac{4}{1}[/tex]

[tex]\textsf{These are called Whole Number Fractions.}[/tex]

[tex]\large\underline{\textsf{Hence;}}[/tex]

[tex]\tt \frac{23}{9} + \frac{17}{9} = \boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]

[tex]\large\underline{\textsf{Learn more about Fractions;}}[/tex]

https://brainly.com/question/26180542

[tex]\textsf{This answer will give you a great review of how to turn word-form problems into}[/tex]

[tex]\textsf{fractions, and how to simpify those fractions.}[/tex]

The inverse of an implication p ⇒ q is ¬p ⇒ ¬q.

The converse of p ⇒ q is q ⇒ p.

The contrapositive of p ⇒ q is ¬q ⇒ ¬p.

Then

• the inverse of the inverse of p ⇒ q is p ⇒ q

• the inverse of the the converse of p ⇒ q is ¬q ⇒ ¬p

• the inverse of the contrapositive of p ⇒ q is q ⇒ p

Answer:

ok first we round them both

386230 is rounded to 386k

59250 is rounded to 59 k

386+59=445

445,000

Hope This Helps!!!

Answer:

1/28

Step-by-step explanation:

Answer:

$30.46

Step-by-step explanation:

Total payment = down payment + interest fee + 24 equal payments

980 = 200 + 49 + 24 equal payments

24 equal payments = 24 * p, as we add p 24 times

980 = 249 + 24p

subtract 249 from both sides to isolate p and its coefficient

731 = 24p

divide both sides by 24 to isolate p

p = 30.46

Answer:

x=17.333

Step-by-step explanation:

3x+8=60

3x=60-8

3x=52

x=52\3

x=17.333

Answer:

( 4 x − 7 ) ( 16 x 2 + 28 x + 49 )

Step-by-step explanation:

Answer:

(4x - 7) (16x^2 + 28x + 49)

Step-by-step explanation:

Since both terms are perfect cubes, factor using the difference of cubes formula, a^3 - b^3 = (a - b) (a^ 2  +  a b  +  b^ 2 )  where  a  =  4 x  and  b  =  7 .

Answer:

A. sec =12/13×

B. COS =12/13×

C. tan =12/5✓

D. sin =12/13 ✓

Step-by-step explanation:

we know,

using Pythagoras formula,

p=12,h=13 ,b=?

h^2 =p^2 +b^2

b=5

so tan = p/b

=12/5

sin=p/h and cosec= h/p

D. sin =12/13

[tex]\mathfrak{5x + 15 = 28} [/tex]

[tex]\mathfrak{5x = 28-15} [/tex]

[tex]\mathfrak{5x = 13} [/tex]

[tex]\boxed{\mathfrak{x = \dfrac{13}{5}}} [/tex] → option B.

[tex]\mathbb{MIREU} [/tex]

Answer:

B

Step-by-step explanation:

The first thing you need to do is,

28 - 15

which is 13.

Now look at the answer choices and multiply them by 5.

It cannot be C or D because it would not fit the equation.

If anyone of them equal 13 then it is the answer.

Now lets try it.

43/5 = 8.6

13/5 = 2.6

8.6 times 5 is way to big so A is not it.

2.6 times 5 is 13.

So it is B.

Answer:

7=4m +c( y intercept)

Step-by-step explanation:

use the formula y= mx +c

we know that $1290 is to be divided on a 7:8 ratio, so we'll start off by dividing 1290 by (7+8) and give each person accordingly

[tex]1290~~ at~~ 7:8\implies 7\cdot \cfrac{1290}{7+8}~~ :~~8\cdot \cfrac{1290}{7+8} \\\\\\ 7\cdot 86~~:~~8\cdot 86\implies 602~~ :~~688[/tex]

Answer: B)1/4

Step-by-step explanation: If you divide a pizza into 4 pieces, each person will get a fourth of the pizza.

Answer:

Since the logarithmic function is define for ×>-3,thus,the graph has a vertical asymptote at ×=-3.

Answer:

2/7÷3/4=2/7×4/3=8/21

[tex] \rm \ \blue{ \overbrace{ \underbrace{ \tt \color{hotpink} \: \: \: \: \: \: \: \: \: \: answer \: \: \: \: \: \: \: \: \: }}}[/tex]

[tex]\large \color{pink} \frac{8}{21} [/tex]

Step-by-step explanation:

[tex] \huge \color{brown} \frac{2}{7} \div \frac{3}{4} [/tex]

[tex] \large \color{hotpink} \frac{2}{7} \div \frac{4}{3} [/tex]

[tex] \huge \color{darkblue} \frac{8}{21} [/tex]

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ---(1)

We know the algebraic identity:

a²+b²-2ab = (a-b)²

Or

a²+b² = (a-b)²+2ab

Now,

x²+1/x²

= (x-1/x)²+2*x*(1/x)

= (x-1/x)²+2

:7²+2 [ from (1)] =

= 49+2

= 51

Therefore,

x²+1/x² = 51

Answer:

[tex]b=-a^2-c[/tex]

Step-by-step explanation:

Answer:

try for an answer: 6ab • (18ab + a - 6b)

Answer:

Slope=0.12   power is down by 28%

Step-by-step explanation:

:)

Answer:

x = 0

y = -1

Step-by-step explanation:

Multiply second equation with -1

(-1) * (-3x - 8y) = 8

3x + 8y = -8 now find its sum with the first equation

2x - 8y + 3x + 8y = 8 - 8 add like terms (note that minus 8y will eliminate +8y)

x = 0 to find the value  of y replace the x with 0 in the first equation

2*0 - 8y = 8

-8y = 8 divide both sides by -8

y = -1

Answer:

x < - 1

Step-by-step explanation:

You have to treat it is a linear equation.

First, - 5 from both sides, resulting in -2x < 2.

Lastly, you need to find x on it's own so you have to divide by - 2.

Therefore, the answer would be x < -1.

Hope this helps :)

Answer:

 (c)  p = vm

Step-by-step explanation:

Momentum, represented by 'p', is the product of mass and velocity. It is a vector quantity, just as velocity is a vector quantity.

  p = vm