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Setler [38]
1 year ago
7

The first transformation for this composition is [________], and the second transformation is a translation down and to the righ

t. a 90° rotation about point L a 270° rotation about point L a 90° rotation about point P a 270° rotation about point P
Mathematics
2 answers:
Marysya12 [62]1 year ago
5 0

Answer:

Step-by-step explanation:

B just took the until test

polet [3.4K]1 year ago
5 0

Answer:

d) 270

Step-by-step explanation:

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Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide
MrRa [10]

Answer: \frac{1}{36}\pi L

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

V=\pi r^2h

Where "r" is the radius and "h" is the height.

Make the conversion from inches to feet. Since 1\ ft=12\ in,you get:

(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft

So in this case you  can identify that:

r=\frac{1}{6}\\\\h=L

Then, substituting them into the formula and simplifying you get:

V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L

Therefore, the expression for the volume of L feet of drainage tubing, in cubic feet is:

\frac{1}{36}\pi L

4 0
2 years ago
Read 2 more answers
Let P and Q be polynomials with positive coefficients. Consider the limit below. lim x→[infinity] P(x) Q(x) (a) Find the limit i
jenyasd209 [6]

Answer:

If the limit that you want to find is \lim_{x\to \infty}\dfrac{P(x)}{Q(x)} then you can use the following proof.

Step-by-step explanation:

Let P(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots+a_{1}x+a_{0} and Q(x)=b_{m}x^{m}+b_{m-1}x^{n-1}+\cdots+b_{1}x+b_{0} be the given polinomials. Then

\dfrac{P(x)}{Q(x)}=\dfrac{x^{n}(a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)}+a_{0}x^{-n})}{x^{m}(b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m})}=x^{n-m}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)})+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}

Observe that

\lim_{x\to \infty}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)})+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}=\dfrac{a_{n}}{b_{m}}

and

\lim_{x\to \infty} x^{n-m}=\begin{cases}0& \text{if}\,\, nm\end{cases}

Then

\lim_{x\to \infty}=\lim_{x\to \infty}x^{n-m}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)}+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}=\begin{cases}0 & \text{if}\,\, nm \end{cases}

3 0
2 years ago
What is 12% sales tax on a $4.25 6-pack of soda?
Pachacha [2.7K]

Answer: $0.51

Step-by-step explanation:

12/100 of $4.25 = $0.51

Amount payable plus sales tax for a 6- pack of soda will now be $4.25 + $0.51 = $4.76

8 0
1 year ago
The local skating rink pays marry a fixed rate per pupil plus a base amount to work as a skating instructor. she earns $90 for i
Ganezh [65]
You have to make a system of equations: lets make a equal the amount marry makes per student and b be her base amount.
90=15a+b (you have to subtract the top equation by the bottom equation)
62=8a+b   (90-62=28, 15a-8a=7a, and b-b=0)
Since b canceled out, you are left with 7a=28 which means a=4.  you can than plug a into the equation 62=8a+b to find that b=30.

since Lisa makes half of the base amount marry, her base amount is 15.  However, she also make twice the amount per kid so she makes 8 per kid.
using the found values found you can make the equations (m=the amount Marry makes, l=the amount Lisa makes, and c is the number of children)
m=4c+30
l=8c+15
set c=20 and you should get m=110 and l=175.  Based off of that information, we can say that Lisa makes more money instructing a class of 20 students.
I hope this helps.
8 0
1 year ago
A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount.
svp [43]
2,070mg 86%
— = —
? mg 100%

Cross multiply (2,070 X 100) which equals 207,000

Then divide 207,000 by 86 which equals
2,406.976

Then you round so you get 2,407


The Answer is 2,407 milligrams
5 0
2 years ago
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