The sum of the first 65 odd, positive integers is?I know the answer is 4225, but I don't know how to solve.

Answers

Answer 1

Answer: $1+3+5+7+9+11+...\n\nThis\ is\ an\ atihmetic\ progression\ where\ a_1=1\ and\ d=2.\n\nThe\ sum:S_n=(2a_1+(n-1)d)/(2)\cdot n\n\nS_(65)=(2\cdot1+(65-1)\cdot2)/(2)\cdot65=(2+64\cdot2)/(2)\cdot65=(2+128)/(2)\cdot65\n\n=(130)/(2)\cdot65=65\cdot65=4225$

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Mrs. Stephan took her children to pick out pumpkins. Carter picked out a pumpkin priced $20, andIsabelle picked out a pumpkin priced at $13. How much did Mrs. Stephan pay for both pumpkins, including
7% sales tax?

Answers

Answer:

$35.31

Step-by-step explanation:

In this question, we're trying to find the total cost of the pumpkins (including tax).

We know that Carter picked a $20 pumpkin, while Isabelle picked a $13 pumpkin.

We also know that the sales tax is 7%

To get your answer, we would add the prices of the pumpkin and find the tax price to get our final answer.

Find the total cost:

20 + 13 = 33

Since the sales tax is 7%, we would multiply 33 by 1.07:

33 · 1.07 = 35.31

Mrs. Stephan paid $35.31 for the pumpkins and sales tax.

Which fractions are equivalent to -30/48 ?A.
-5/8

B.
-15/24

C.
10/-16

D.
− 35 over 65 star times

Answers

The answer is D

Because

-35/65 = -0.53

I hope that's help:)

If 8 avocados cost $4 then how much would 9 cost?

Answers

Answer: $4 and 50 cents,$4.50

Step-by-step explanation:I’m too lazy to explain but if 1 avocado is 50 cents then 9 avocados is $4.50

HOPE THIS HELPED!!

The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:I REALLY NEED HELP!!!

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. Four points are shown on the graph on ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.

What does the point (0, 0) on the graph represent? (4 points)
a
The cost of one bag of peanuts

b
The cost of zero bags of peanuts

c
The cost of two bags of peanuts

d
The cost of three bags of peanuts

Answers

Answer:

B, the cost of 0 bags

Step-by-step explanation:

Answer:

b) The cost of zero bags of peanuts

Explanation:

Because it is at (0,0), that means it's at $0 and 0 bags of peanuts based on the labels for the x and y axis.

Find the indicated term of the given arithmetic sequence. Find the indicated term of the given arithmetic sequence. a^1 = 45, d = –6, n = 8a. 309
c. 3
b. –3
d. 87

Answers

an = a1+d*(n-1)
a8 = 45 - 6*(8-1) = 3

What is the general form of the equation of a circle with center at (a, b) and radius of length m?. A. x2 + y2 − 2ax − 2by + (a2 + b2 − m2) = 0 . . B.x2 + y2 + 2ax + 2by + (a2 + b2 − m2) = 0. C. x2 + y2 − 2ax − 2by + (a + b − m2) = 0. D. x2 + y2 + 2ax + 2by + a2 + b2 = -m2.

Answers

The generic equation of the circle is given by:
$(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2$
Where,
r: radius of the circle
(xo, yo): center of the circle.
The center of the circle in this case is:
$(xo, yo): (a, b)$
The radius of the circle is:
$r = m$
Substituting values we have:
$(x-a) ^ 2 + (y-b) ^ 2 = m ^ 2$
Rewriting the equation we have:
$x ^ 2 - 2ax + a ^ 2 + y ^ 2 - 2by + b ^ 2 - m ^ 2 = 0x ^ 2 + y ^ 2 - 2ax - 2by + a ^ 2 + b ^ 2 - m ^ 2 = 0$
Answer:
The general form of the equation of a circle with center at (a, b) and radius of length m is:
$x ^ 2 + y ^ 2 - 2ax - 2by + a ^ 2 + b ^ 2 - m ^ 2 = 0$
option A

The general form of the equation of a circle with center at (a, b) and radius of length m is B.x2 + y2 + 2ax + 2by + (a2 + b2 − m2)

the standard equation for a circle is: (x-a)^2 + (y-b)^2 = m^2

x-a)^2 + (y-b)^2 = m^2

means(x-a)(x-a) + (y-b)(y-b) = m^2 then you foil

x^2 - 2ax + a^2 + y^2 - 2by + b^2 = m^2

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