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lorasvet [3.4K]

3 years ago

9

A weight lifter can bench press 189 kg. How many milligrams (mg) is this?

1 answer:

Inessa [10]3 years ago

3 0

A weight lifter can bench press 189 kg. How many milligrams (mg) is this?

Answer: We know that:

$1kg=1,000,000 mg$

We are given, that a weight lifter can bench press 189 kg

Therefore, a weight lifter can bench press:

$189 \times 1,000,000 mg$

$189,000,000mg$

$18.9 \times 10^{7} mg$

Therefore, $18.9 \times 10^{7} mg$ is equal to the $189 kg$

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Find the equation of a line tangent to the circle x2+(y−3)2=34 at the point (5, 0).

salantis [7]

Answer:

Step-by-step explanation:

In order to find the equation of the line tangent to that circle, we have to find the derivative by implicit differentiation which will give us the slope formula of that tangent line. Let's begin by expanding through the parenthesis to get the standard form of the circle:

$x^2+y^2-6y+9=34$

Moving the 9 to the other side since the derivative of a constant is 0 gives us

$x^2+y^2-6y=25$

By implicit differentation, the derivative of that function is

$2x+2y\frac{dy}{dx}-6\frac{dy}{dx}=0$

To find the derivative, we have to solve for dy/dx:

$2y\frac{dy}{dx}-6\frac{dy}{dx}=-2x$

Factor out the dy/dx to get:

$\frac{dy}{dx}(2y-6)=-2x$

Now divide to get your slope formula (first derivative):

$\frac{dy}{dx}=\frac{-2x}{2y-6}$

Now we can sub in the x and y values from the coodinate to get the slope of that tangent line:

$\frac{dy}{dx}=\frac{-2(5)}{2(0)-6}=\frac{-10}{-6}=\frac{5}{3}$

So now that have the slope, we can use the point-slope form of a line to write the equation of the tangent line. The point-slop form of a line is:

y-y₁ = m(x-x₁)

Filling in we get:

y - 0 = 5/3(x - 5) so the equation of the tangent line is:

$y=\frac{5}{3}x-\frac{25}{3}$

Good luck in your calculus class!

3 0

3 years ago

An Equation using t = 5

arlik [135]

2t+2=12
here is ur answer

4 0

3 years ago

the volume of a large sphere (of radius R) is twice the volume of a smaller sphere (of radius r). form an equation linking r and

Sedaia [141]

Step-by-step explanation:

radius of large sphere is R,

then volume is (4/3)*pie*R³

and

the radius of small sphere is r,

then volume is (4/3)*pie*r³

condition is,

volume of larger sphere is twice of the volume of smaller sphere.

then, (4/3)*pie*R³=2*(4/3)*pie*r³;

R³= 2r³

R=(2^⅓)*r

3 0

2 years ago

“There shall be a firm and perpetual Peace between his Brittanic Majesty and the said States… all Hostilities both by Sea and La

icang [17]

Answer:

Treaty of Paris (1783

Step-by-step explanation:

Some of the treaty key points are;

The aim of the parties to "forget" previous disputes and controversies and to gain "perpetual peace and harmony"

1) The acknowledgement of the United States as a sovereign state

2) The United States boundary establishment

3) The right to fish granted to the United States fishermen

4) Debt settlement of lawful contracts on either side

5) Prisoners of war are to be released

6) Protection of property of Loyalists by the United States.

4 0

3 years ago

What is the oblique asymptote of the function f(x) x^2+x-2/x+1

Mamont248 [21]

$f(x)=\displaystyle\frac{x^2+x-2}{x+1}=\frac{x(x+1)-2}{x+1}=x-\frac{2}{x+1}
$

$\displaystyle\lim_{x\to\infty}\left\{f(x)-x \right\}=\lim_{x\to\infty}\frac{2}{x+1}=\lim_{x\to\infty}\frac{\displaystyle\frac{2}{x}}{1+\displaystyle\frac{1}{x}}
=0$

Consequently, t<span>he limit of $f(x)$ as x approaches infinity is $x$ .

In other words, $f(x)$ approaches the line y=x,
</span><span>
so oblique asymptote is y=x.

I'm Japanese, if you find some mistakes in my English, please let me know.</span>

3 0

3 years ago