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postnew [5]
2 years ago
15

F (x) = x — 1 — 3, and

Mathematics
1 answer:
Oduvanchick [21]2 years ago
4 0
<h2>Answer:</h2><h3>I do not see any question content, Try re-wording your problem and re-post your question. Once that is done I would love to help. </h3>
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the radius of a cylindrical construction pipe is 3 ft . If the pipe is 25ft long , what is it’s volume ?
ki77a [65]

Given:

radius of a cylindrical construction pipe is 3 ft

lenghtis 25ft long

Required:

what is it’s volume

Explanation:

volume of cylinder:

\begin{gathered} V=\pi r^2h \\  \\ here\text{ h is the length of the pipe} \\  \\ V=3.14\times(3)^2\times25 \\  \\ V=3.14\times9\times25 \\  \\ V=707\text{ ft}^3 \end{gathered}

Required answer:

V=707\text{ ft}^3

7 0
1 year ago
Consider the quadratic equation x2=4x-5. How many solutions does the equation have
Norma-Jean [14]
The quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
3 0
3 years ago
Read 2 more answers
A recipe for 40 biscuits uses 2 cups of biscuit mix. How many biscuits are made from 1 cup of biscuit mix?​
In-s [12.5K]

Answer:

20 biscuits are made from 1 cup of biscuit mix.

Step-by-step explanation:

Divide 40 by 2 to get the unit rate, which is 20.

Hope this Helps!

5 0
3 years ago
Read 2 more answers
In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2&#10;\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;-------\\&#10;c=2a\\&#10;a=a\\&#10;b=5&#10;\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25&#10;\\\\\\&#10;a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}&#10;\\\\\\&#10;\textit{and then we can \underline{rationalize the denominator} }&#10;\\\\\\&#10;a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
How much will $600 amount to be if it is invested at 10% interest compounded semiannually (two times a year) for 4 years?
Orlov [11]
=600(1+0.1/2)^8 Use the calculator to get the answer :-)
7 0
3 years ago
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