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3 years ago

Please help me idk this

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

Answer:

Step-by-step explanation:

If you think about it this way, sea level is like the middle ground, or 0

If you are at 0, and you swim 10 feet BELOW 0, you are now at -10

Your dolphin leaped 5 feet higher than 0 feet, so what is 0 + 5?

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Find the derivative of the function. y = sin−1(6x + 1)

liraira [26]

If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

$y=\sin^{-1}(6x+1)\implies\sin y=6x+1$

(true for <em>y</em> between -π/2 and π/2)

Now take the derivative of both sides and solve for it:

$\cos y\dfrac{\mathrm dy}{\mathrm dx}=6$

$\dfrac{\mathrm dy}{\mathrm dx}=6\sec y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\cos\left(\sin^{-1}(6x+1)\right)}$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\sqrt{1-(6x+1)^2}}$

7 0

3 years ago

The number of gallons of gas Connie’s car, g, uses is directly proportional with the number of miles she drives, m. Last week, s

stellarik [79]

The equation which represent the problem is 14.5 = 469.8k.

<h3>What is Equation?</h3>

An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.

Here, As given in question

The number of gallons of gas Connie’s car, g, uses is directly proportional with the number of miles she drives, m.

g α m

g = km ............(i)

g = 14.5 gallons of gas m = 469.8 miles

14.5 = k X 469.8

14.5 = 469.8k

Thus, the equation which represent the problem is 14.5 = 469.8k.

Learn more about Equation from:

brainly.com/question/2263981

#SPJ1

6 0

2 years ago

I need help with an equation... I can't understand it I've tried it a couple of times and I still get it wrong...so help plz?

Semenov [28]

Answer:

(f·g)(x) = x³ -8x² +20x -16

Step-by-step explanation:

The distributive property is useful for this.

(f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)

= x(x² -6x +8) -2(x² -6x +8)

= x³ -6x² +8x -2x² +12x -16

(f·g)(x) = x³ -8x² +20x -16

_____

<em>Additional comment</em>

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

8 0

3 years ago

a man in a lighthouse tower that is 30ft he sports a ship at sea at an angle of depression of 10 degree how far is the ship from

Llana [10]

We have a triangle where.
a=adjacent leg of A=30 ft
A=90º-(angle of depression)=90º-10º=80º
b=distance between the base of the lighthouse and the ship
tan A= opposite /adjacent.
tan 80º=b /30 ft ⇒b=(30 ft)(tan 80º)≈170.14 ft

Answer: the distance would be 170.14 ft

3 0

3 years ago

Given the equation square root of quantity 3x plus 6 end quantity equals 3, solve for x and identify if it is an extraneous solu

Novay_Z [31]

Solution is not extraneous, x=1 is correct answer

Step-by-step explanation:

We need to solve the equation $\sqrt{3x+6}=3$ and find value of x.

Solving:

$\sqrt{3x+6}=3\\Taking\,\,square\,\,on\,\,both\,\,sides\\(\sqrt{3x+6})^2=(3)^2\\3x+6=9\\Simplifying:\\3x=9-6\\3x=3\\x=3/3\\x=1$

So. Value of x = 1

Now checking if solution is extraneous or not

Solution is extraneous if value of x doesn't satisfy the given equation.

Checking: putting x=1 in the equation $\sqrt{3x+6}=3$

$\sqrt{3x+6}=3\\\sqrt{3(1)+6}=3\\\sqrt{9}=3\\ 3=3$

Since x=1, verifies the given equation so, x=1 is not extraneous solution

Solution is not extraneous, x=1 is correct answer

Keywords: Solving equations and finding extraneous roots

Learn more about Solving equations and finding extraneous roots at:

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5 0

3 years ago