In an arithmetic sequence, the difference between one term and the next is constant.
The 65th term of the arithmetic sequence is -734
Given the following arithmetic sequence:
-30, -41, -52 The standard formula for the nth term of an arithmetic sequence is given as
a(n) = a + (n - 1)d
Where a = first term
n = number of term
d = common difference
Let find the common difference
Common difference = second term - first termCommon difference
= -41 - (-30)
Common difference = -41 + 30
Common difference = -11
Common difference = -52 - (-41)
Common difference = -52 + 41
Common difference = -11
Hence, the common difference
= -11
let:
a = -30n
= 65d = -11a(65)
= -30 + (65 - 1) * -11a(65)
= -30 + (64)*-11a(65)
= -30 + (-704)a(65)
= -30 - 704a(65)
= -734
Hence, the 65th term of the arithmetic sequence is -734
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the area of a circle is 196 pi square inches. what is the exact length of the circle's radius?
Area of a circle:
[tex]A=\pi r^2[/tex] "r" is the radius
Since you know [tex]A=196\pi[/tex] in², you can plug (196[tex]\pi[/tex]) for "A" in the equation
[tex]A=\pi r^2[/tex]
[tex]196\pi=\pi r^2[/tex] Divide pi on both sides
196 = r² Square root both sides
14 = r
The exact length of the circle's radius is 14 inches.
The formula to calculate the area (A) of a circle is given by:
[tex]A = π * r^2[/tex]
where "r" is the radius of the circle.
In this case, we are given that the area of the circle is 196π square inches. So we can set up the equation:
196π = π * [tex]r^2[/tex]
To find the radius (r), divide both sides of the equation by π:
[tex]r^2[/tex] = 196
Now, solve for the radius:
r = √196
r = 14
Therefore, the exact length of the circle's radius is 14 inches.
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An angle whose measure is 405 is in standard position. In what quadrant does the terminal side of the angle fall?
Answer:
The angle is in quadrant one because one rotation is 360° and it’s just 45° more than 360°.
Q1
What does a credit counselor do? A. Co-signs a loan with you B. Helps you make a plan to resolve financial issues C. Convinces your creditors to reduce your debt D. Collects debts Please select the best answer from the choices provided
Answer:
B. Helps you make a plan to resolve financial issues.
Step-by-step explanation:
Because a credit counselor 'counsels' you on your credit.
Answer: B. securities I hope this helps
Step-by-step explanation:
999
using laws of exponents , i^3=(i^2)i
Answer:
its -i
Step-by-step explanation: just did the assignment
In the given case we can conclude that Using the laws of exponents, we can simplify i³ as 1
The laws of exponents, also known as the rules of exponents, are a set of fundamental mathematical principles that govern the manipulation and simplification of expressions involving exponents. These rules are essential for working with exponential functions and equations. Here are the basic laws of exponents.
Using the laws of exponents, we can simplify i³ as follows:
i³ = i * i * i
Since we know that i² = -1, we can substitute -1 for i² in the expression:
i³ = -1 * i * i
Next, we can use the associative property of multiplication to rearrange the expression:
i³ = -1 * (i * i)
Finally, we recognize that (i * i) is equal to i² = -1, so the expression simplifies to:
i³ = -1 * -1
Therefore, i³ = 1.
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how long is the flight from baltimore to miami
Answer:
The flight from Baltimore to Miami
has a duration around 2 hours and 50 minutes
Step-by-Step Explanation:
2hr 50min duration with at least 12+ flights per day
What is the volume of the cylinder to the nearest whole number?
A.) 1,005 m³
B.) 20,096 m³
C.) 16,077 m³
D.) 4,019 m³
if the cylinder has a diameter of 8, its radius is half that, or 4.
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=20 \end{cases}\implies V=\pi (4)^2(20)\implies V=320\pi \\\\\\ V\approx 1005.3096\implies V=\stackrel{rounded}{1005}[/tex]
The formula of a cylinder:
[tex]V=\pi r^2H[/tex]
We have the diameter d = 8m and height H = 20m.
d = 2r therefore r = 8m : 2 = 4m. Substitute:
[tex]V=\pi(4^2)(20)=\pi(16)(20)=320\pi\ m^3\approx 320\cdot3.14\approx1005m^3[/tex]
Answer: A.) 1,005 m³PLEASE HELP
Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. A zoo has 17 monkeys and 12 chimpanzees. (1 point) 12 to 17, 12:17, twelve over seventeen17 to 12, 17:12, 17 over 1217 to 22, 17:22, 17 over 1217 to 12, 12:17, 17 over 12
2. Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. In Largo City, about one in every nine homes contains four televisions. (1 point)
1 to 9, 1:9, 1/91 to 4, 1:4, 1/44 to 9, 4:9, 4/99 to 13, 9:13, 9/13
3. Write three ratios equal to 7 over 35. (1 point) 1 over 7, 2 over 14, 3 over 21five sevenths, 10 over 7, 15 over 77 over 35, seven over forty, seven over forty fiveone fifth, two tenths, three over fifteen
4. Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets. What is the ratio, in simplest form, of the number of tickets Jeanne sold to the number of tickets Jak
Final answer:
The ratio of monkeys to chimpanzees is 17 to 12. For the televisions in Largo City homes, the ratio is 1 to 9. Three ratios equal to 7 over 35 are 1 over 5, 2 over 10, and 3 over 15. Lastly, the simplest form of the tickets ratio is 3 to 4.
Explanation:
To write a ratio for the situation in three ways, comparing the first quantity to the second quantity for a zoo that has 17 monkeys and 12 chimpanzees, you would use the following ratios:
17 to 12, 17:12, 17 over 12For the scenario where one in every nine homes contains four televisions in Largo City:
1 to 9, 1:9, 1 over 9Writing three ratios equal to 7 over 35:
1 over 5, 2 over 10, 3 over 15To find the ratio in the simplest form of the number of tickets Jeanne sold to the number of tickets Jake sold when Jake sold 28 tickets and Jeanne sold 21 tickets:
The ratio would be 21 to 28 which simplifies to 3 to 4, 3:4, 3 over 4.i am completely lost... Is this a direct variation or an inverse variation? Explain.
You get 5x=y. The larger the x, the larger the y. So, this is a direct variation.
what value of p makes the equation true? 3/4p + 1/6 = 37/60
Question
what value of p makes the equation true? 3/4p + 1/6 = 37/60
Answer:
yes, p makes the equation true and it's value is 3/5 or 0.6Step-by-step explanation:
3/4p + 1/6 = 37/60
3/4p = 37/60 - 1/6
3/4p = 9/20
p = 9/20 : 3/4
p = 9/30 * 4/3
p = 3/5
-------------------
check
3/4 * 3/5 + 1/6 = 37/60
37/60 = 37/60
the answer is good
if the discount is 30% and the sale price is $206.50 what is the original price
To determine the original price before a 30% discount resulted in a sale price of $206.50, we calculate the sale price as 70% of the original price, leading to the original price being $295.00.
Explanation:If the discount is 30% and the sale price is $206.50, we need to determine the original price before the discount. To do this, we first understand that the sale price represents 70% of the original price, because a 30% discount has been applied. Thus, to find the original price, we can set up the following equation where original price × 70% = $206.50.
Converting 70% to decimal form, we get 0.70. The equation then becomes original price × 0.70 = $206.50. To find the original price, we divide both sides of the equation by 0.70:
Original price = $206.50 / 0.70
Original price = $295.00
Therefore, the original price of the item before the 30% discount was applied is $295.00.
[tex]\frac{y}{a} -b=\frac{y}{b} -a[/tex]
If a doesn't equals b
Find a, b, and y
[tex]Domain:\ a\neq0\ \wedge\ b\neq0\\\\\dfrac{y}{a}-b=\dfrac{y}{b}-a\qquad\text{multiply both sides by ab}\\\\by-ab^2=ay-a^2b\qquad\text{add}\ ab^2\ \text{to both sides}\\\\by=ay+ab^2-a^2b\qquad\text{subtract}\ ay\ \text{from both sides}\\\\by-ay=ab^2-a^2b\\\\(b-a)y=ab(b-a)\qquad\text{divide both sides by}\ (a-b)\neq0\\\\y=ab\\\\Answer:\ a\in\mathbb{R}-\{0\},\ b\in\mathbb{R}-\{0\},\ a\neq b,\ y=ab\\\\Example:\\a=2,\ b=3\to y=(2)(3)=6\\\\substitute\ to\ the\ equation:\\\\L_s=\dfrac{6}{2}-3=3-3=0\\R_s=\dfrac{6}{3}-2=2-2=0\\\\L_s=R_s[/tex]
part 2!!!!!!!!!!!!!!!
Answer:
Down below,
Step-by-step explanation:
First the 2nd question,
In 3 hours, Jamal hiked 6 miles, while Rubi hiked 7.5 miles. For a ratio, you could do 2.5:2 as Rubi hiked 2.5miles an hour while Jamal hiked 2 miles an hour.
For the 3rd question,
Rubi had a greater speed as he walked .5 miles an hour faster, as shown in the ratio above.
Hope i could help you, i would appreciate if you gave me brainliest, have a good day
a mental alloy weighing 4mg and containing 20% iron is melted and mixed with 12mg of a different alloy which contains 40% iron. What percent of the resulting alloy is iron?
Answer:
60%
Step-by-step explanation:
Add both of the results
how many tenths are in 3.6
Answer:
Step-by-step explanation:
3.6/10=3.3/5
получется 3 целых 6 десятых сокращаем и получается 3 целых 3 пятых
NEED CORRECT ANSWER NOWWW ASAP PLEASE SOMEONE HELPPP!!!!!
On a number line, what is the distance between -57 and 13?
Answer: 70 units
One way to find this answer is to get a very large number line (perhaps from -100 to 100; counting by 1s) and count out the number of spaces from -57 to 13. This method is impractical because it would take a long time.
A shorter method is to subtract the values and make the result positive. So we could say -57 - 13 = -70 which has an absolute value of 70. Or we can say 13 - (-57) = 13 + 57 = 70. Either way, the distance between the values on the number line is 70 units.
An ice sculpture is melting because of heat. Assuming its height changes bynegative 5 over 32m every hour, what will be the change in height after 4 hours? negative 20 over 8 meters 5 over 8 meter negative 5 over 32 meter negative 5 over 8 meter
Answer:
[tex]-\frac{-5}{32} *4=- \frac{5}{8}[/tex]
Step-by-step explanation:
Answer:
- 5/8
Step-by-step explanation:
To solve you would do - 5/32 times 4/1 to get 20/32, then you would simplify to get 10/16, then you would simplify that to get - 5/8.
drinking 6 fluid ounces of milk provides 202.5 mg of calcium how many fluid ounces of milk are required to provide 52.5 mg of calcium round to the nearest tenth
Answer:
2 fluid ounces.
Step-by-step explanation:
202.5 divided by 6 = 33.75 (1 fluid ounce)
33.75 x 2 = 67.5. (68)
find the measures of two complementary angles with measures (20w+15)° and (10w)°
let's recall, complementary angles add up to 90°, therefore
[tex]\bf (20w+15)+(10w)=90\implies 30w+15=90\implies 30w=75 \\\\\\ w=\cfrac{75}{30}\implies w=\cfrac{5}{2} \\\\[-0.35em] ~\dotfill\\\\ 20w+15\implies 20\left( \cfrac{5}{2} \right)+15\implies 50+15\implies \blacktriangleright 65 \blacktriangleleft \\\\\\ 10w\implies 10\left( \cfrac{5}{2} \right)\implies \blacktriangleright 25 \blacktriangleleft[/tex]
pleaseeee helppp i keep getting the wrong so can somebody give me the correct answer
Answer: 39.25 miles per gallon.
Step-by-step explanation: To find miles per gallon, divide 314 miles by 8 gallons =
39.25 miles per gallon.
The answer is 39.25
note: if your teacher wants a fraction instead of a decimal, then it would be 157/4
=============================
Explanation:
Divide 314 over 8 to get 314/8 = 157/4 = 39.25
----
You can think of it as the ratio
314 miles: 8 gallons
(314/8) miles: (8/8) gallons <--- divide both parts by 8
(157/4) miles: 1 gallon
39.25 miles: 1 gallon
Meaning you can drive 39.25 miles on one gallon of gas
HELP PLEASE!!!!!!!!!!!!
Karen is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below:
She starts with the assumption that segment DE is parallel to segment BC. Which inequality will she use to contradict the assumption?
A. 6:7 ≠ 2:7
B. 6:8 ≠ 7:10
C. 6:2 ≠ 7:10
D. 6:2 ≠ 3:2
Answer:
Option B
Step-by-step explanation:
In order to prove that segment DE is not parallel to segment BC, Karen takes an indirect way, that is she assumes that DE is parallel to BC, then by using the basic proportionality theorem,
[tex]\frac{AD}{AB}=\frac{AE}{AC}[/tex]
Now, AD=6, AB=AD+DB=8, AE=7 and AC=10
therefore, [tex]\frac{6}{8}=\frac{7}{10}[/tex] according to basic proportionality theorem, but in actual, [tex]\frac{6}{8}{\neq}\frac{7}{10}[/tex].
Thus, DE is not parallel to BC, therefore Option B is correct.
Answer:
B, 6:8 ≠ 7:10.
Step-by-step explanation:
Five years ago, one share of stock was worth $28.00. Today, one share of the stock is worth $62.00.What was the percent of change?
25 POINTS !!!
Answer:
44%
Step-by-step explanation:
Here's the equation: Account= principle x time x interest rate. In this problem, it would be $62 = $28 times 5 times X. $62=140x. 0.44. 44%.
A loan given to people who are purchasing real estate is called a a______. amortization loan B. real estate loan C. house loan D. mortgage
Answer:
Option D. mortgage
Step-by-step explanation:
A loan given to people who are purchasing real estate is called mortgage.
Answer:
D. mortgage
Step-by-step explanation:
-Amortization loan is a loan in which the payments are applied to the principal and the interests.
-Real estate loan is a loan that people use to buy real estate.
-House loan refers to a loan people use to buy a home.
-Mortgage is a type of loan that financial institutions provide for people to buy a property.
According to this, the answer is mortgage.
Can someone tell me if my answer is right and if not what the answer is?
You're really close. lol.
the slope of the line isn't negative though.
when the line is moving up to the right, it's positive.
the y-intercept is also positive. the y-intercept is where the line intercepts with the y-axis. if you look at the graph, you'll see that the line intercepts with the y-axis at +8 instead of -8
The answer is:
C. y = 1/4x + 8
Answer:
No that's wrong it is the third one.
Step-by-step explanation:
The line is on a positive slope so it has to be a positive x-value. Also, the y intersect is at positive 8.
Please help and fast thanks
Answer:
im pretty sure thats B
Step-by-step explanation:
there are 46 second graders who play softball. there are 35 second graders who play soccer.how many more second graders play softball than play soccer
Answer:11 more students
Step-by-step explanation:we do 46 minus 35 and we get 11
Answer: There are 11 more second graders who play softball
Step-by-step explanation:
1)make a equation
46-35
2)solve
11
3)answer
There are 11 more second graders
Can some one help me with is question?
You want to determine your speed running across the room. What is one piece of data you need?
A) The distance you run
B) When you start your stopwatch
C) How big each step is
D) How fast you are moving
I know its not C)
Answer:
D) How fast you are moving
While all the others are useful information (except C), you are trying to solve for your speed, or mph. How fast you are moving is also solved using mph (or something like it).
speed = mph = how fast you are moving ∴ speed = how fast you are moving
~
Answer:
Choice A
Step-by-step explanation:
You need the distance and the time, which are D and T respectively. The speed or rate is R = D/T. You divide the distance over the time. Example: if run 10 miles in 2 hours, then your speed is R = D/T = 10/2 = 5 mph.
Choice A is correct because we need the distance.
Choice B is close to knowing the time T, but we would need to know the duration and not when the stopwatch was clicked on. In other words, we need to know the difference in when it was started and stopped. Simply knowing the starting point isn't enough. We can cross this off the list.
Choice C is close to what choice A is saying, but choice A is more accurate. We can cross this off the list.
Choice D is what we want to know. If we know how fast we're moving, then there's no need to calculate the speed. So we can cross choice D off the list as well.
A 5 pound bag of potatoes cost $3.40 what is the cost per pound
It would be $0.68.
To find it, divide the cost by the weight. So, the equation would be 3.40/5 or 3.40 divided by 5.
The cost per pound of potato would be $0.68.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that 5 pound bag of potatoes cost $3.40
Then the cost per pound of potato .
We have to divide the cost by the weight.
So, the equation would be;
3.40 divided by 5.
3.40/5 = 0.68
The cost per pound of potato would be $0.68.
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Which of the following is the equation of a parabola with focus (0,2) and directrix y = -2?
Answer:
Alright well find the parabola with focus (0,2) and directrix y = - 2 So the Answer to the question is
x^2 = 8y Hope this helps have a nice day :)
Step-by-step explanation:
Answer:
the answer is (B) y = 1/8 x^2.
Step-by-step explanation:
find tge slope and the y-Intercept 7x-9y=1
Write the equation 'x-intercept = 4, y-intercept = -1' in slope-intercept form.
Answer:
y = 1/4x-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
m is the slope and b is the y intercept
but we do not know the slope y know the x intercept
(4,0 )
and the y intercept
( 0,-1)
We can calculate the slope using these points
m = (y2-y1)/ (x2-x1)
= (-1-0)/(0-4)
= -1/-4
= 1/4
Now we can put the slope = 1/4 and the y intercept =-1 into the formula
y = 1/4x-1
y=1/4x-1 I think is the answer to that question