a line passes through the origin and has a slope of –3. what is the equation of the line that is perpendicular to the first line and passes through the point (3, 4)?

Answers

Answer 1

Answer: The slope is:
y=1/3x+3

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Joel reads 3 books each month as part of his book club. After belonging to the book club for 7 months, how many books will Joel have read in all?
What is the square 16/15 in simplest radical form?
Halp pleaseee? list all possible rational roots for the equation 3x^4-5x^2+25=0 thanks :))
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Find the value of n:5/6=7n + 9/9

Answers

n= -1/42

5/6 = 7n + 1
5/6 -1 = 7n
-1/6 = 7n
-1/42 = n

Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..

Answers

Answer:

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

Step-by-step explanation:

We have to evaluate the expression:

$\sum_(2)^(10)25(0.3)^(n+1)$

i.e. it could also be written as:

$25\sum_(2)^(10)(0.3)^(n+1)$

i.e. we need to evaluate:

$25[(0.3)^3+(0.3)^4+(0.3)^5+(0.3)^6+(0.3)^7+(0.3)^8+(0.3)^9+(0.3)^(10)+(0.3)^(11)]$

Hence, this could be written as:

$=25* (0.3)^3[1+0.3^1+0.3^2+0.3^3+0.3^4+0.3^5+0.3^6+0.3^7+0.3^8]$

Now, the series inside the parenthesis is a geometric series with first term as 1 and common ration as 0.3.

Hence, we could apply the summation of finite geometric series and get the answer.

We know that the sum of geometric series with n terms and common ratio less than 1 is calculated as:

$S_n=a* ((1-r^n)/(1-r))$

Here a=1 and r=0.3

Hence the sum of geometric series is:

$S_9=1* ((1-0.3^9)/(1-0.3))\n\nS_9=1.4285$

Hence, the final evaluation is:

$=25* (0.3)^3* 1.4285\n\n=0.9642375$

Hence,

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

We are asked to evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10. In this case, we use a calculator with summation powers so as to accurately get the answer. Using a calculator, the asnwer is equal to 0.9643.

Write a function rule that represents the situation. The price p of a pizza is $ 6.95 plus $ 0.75 for each of the t toppings on the pizza.

Answers

p= &6.95
t= $0.75
it would be:
price=6.95 + 0.75 • (<--multiplication sign) amount of topings

The square root of 80 p to the 3rd

Answers

√(80 p³ = √ (16 x 5 x p² x p)

You know the square roots of 16 and p , so you can take them out of the radical.

= (4p) x √(5p)

I added pictures, but I don't know how they'll come out when I post this. Sorry if it ends up looking weird :/
You should start by factoring the number inside the cube root/radical sign, which in this case is 80. If you remember how to do factor trees, just do that with the number 80. The p is already prime, so you don't need to worry about it at first. (see picture 1)
Now see if there are any triplets of prime numbers. In this case, there is a triplet of twos (see picture 2), so you bring down one 2 to your answer (see picture 3). If there had been two triplets, you would have brought both numbers down and multiplied them.
There should be three prime numbers left: 2, 5, and p. (see picture 4) Go back down to your answer, put a cube root/radical sign next to the 2, and put your prime numbers in the cube root/radical. You should have 2∛2·5p. 2·5 can be simplified to 10, so your final answer will be 2∛10p (see picture 5).

What is the area of a square with sides of length 6?

Answers

Answer:

Step-by-step explanation:

6 squared

Answer:

A= 36

Step-by-step explanation:

The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?10 friends at a cookout
the first 30 people leaving the local hamburger stand
a random group of 40 people on the street
a random group of 5 people at a grocery store

Answers

Answer:

c, or 40

Step-by-step explanation:

edge test

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