[tex]\lim \limits_{n \to \infty} ~\dfrac{8n}{3n^2 +5} \\\\\\=8\lim \limits_{n \to \infty} ~ \dfrac{\tfrac n{n^2}}{\tfrac{3n^2}{n^2} + \tfrac 5{n^2}}\\\\\\=8 \lim \limits_{n \to \infty} ~\dfrac{ \tfrac 1n}{ 3 + \tfrac 5{n^2}}}\\\\\\=8 \cdot \dfrac{ 0}{3 +0} = 8 \cdot 0 = 0[/tex]
We want to evaluate the limit of [tex]\frac{8n}{3n^{2}+5}[/tex] as n tends toward infinity (+∞)
The limit of this expression is the same as the limit of [tex]\frac{8n}{3n^{2}}[/tex]
But this last expression can be simplified, we can remove one n up and down which gives us : [tex]\frac{8}{3n}[/tex]
We know the limit of this one, it is simply Zero 0, by definition of the class lesson.
So to conclude the limit of [tex]\frac{8n}{3n^{2}+5}[/tex] as n tends toward infinity is 0.
Good Luck
help plz I have an f in the class
Describe the slope of the line. Then find the slope. What’s the slope?
Hello there!
We are given two points.
We use the following formula:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-7}{0-(-1)}[/tex]
[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]
So the slope is -3. Hope it helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
Answer:
[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]
Step-by-step explanation:
To find the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]
[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]
[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=-3[/tex]
_________________________________
What the answer plz
Some anybody
-3(p+2) when p=6
Anybody
Answer:
-24
Step-by-step explanation:
-3(p+2)
-3 ( 6+2 )
-3(8)
-24
150-5r is greater than or equal to 87.5
Find the value of r?
Answer:
R=12.5
Step-by-step explanation:
Andre ran a 100 meter race in 12 seconds. What was his average speed as he ran?
his average speed as he ran: V = S/t = 100/12 = 25/3 (m/s)
ok done. Thank to me :>
Speed is the time rate at which an object is moving along a path. 25/3 is the average speed as he ran
What is Speed?Speed is the time rate at which an object is moving along a path.
Speed =Distance/Time
His average speed as he ran:
V = S/t
Hundred by twelve.
= 100/12
Divide numerator and denominator by four.
Twenty five by three.
Average speed= 25/3 (m/s)
Hence if Andre ran a 100 meter race in 12 seconds. 25/3 is the average speed as he ran
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What is an equation of the line that passes through the points (-2,1) and (6,-7)
How do the measures of the angles of triangle ABC compare if those of triangle A’B’C’ when triangle A’B’C’ coincides with the other three triangles. What can you say about the preservation of the angle measurement of the shape during rotation.?
Answer:
30x t 78
Step-by-step explanation:
Help me please!!!!!!!!!!!
Use the figure below to answer the questions. Unit 1 Test, Part 2: Basic Tools and Transformations
Answer: 35
Step-by-step explanation:
The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds.
The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.
What are the lower and upper bound?
The lower bound is the smallest value that would round up to the estimated value.
The upper bound is the smallest value that would round up to the next estimated value.
Here the number 1000 is rounded to the nearest 100 will be:
The Lower bound will be 950.
The Upper bound will be 1050
Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.
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Ahh can someone helpppp
Leah took her friends for a ride in her hot air balloon. The function fff models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.
Plot the point on the graph of fff that corresponds to when the hot air balloon landed.
Answer: point (60,0)
Step-by-step explanation: the x-intercept (60,0) shows that at 60 minuetes the balloon is 0 meter above the ground
The coordinates of the function of height and time are (210, 0) and (60, 10). The graph is attached below.
What is function?The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).
Given:
r(t) = 210 - 15t
Calculate the height after 10 minutes as shown below,
The height = 210 - 15 × 10
The height = 210 - 150
The height = 60
At time 0 the height will be,
The height = 210 - 15 × 0
The height = 210 - 0
The height = 210 meters,
Thus, the coordinates will be (210, 0) and (60, 10)
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Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered?
Step-by-step explanation:
cheese : pepperoni : sausage : mushroom =
10 : 7 : 5 : 8
so, in total there are 10+7+5+8 = 30 "business pieces".
to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?
we get this from the 35 orders of pepperoni pizzas.
these 35 orders represent 7 "business pieces".
that means 1 "business piece" = 35/7 = 5 pizzas.
that means that 30 "business pieces" are 5×30 = 150
so, in total, 150 pizzas were ordered.
Solve for the value of p.
(6p-2)
न
(3p-7)|
Answer:
The sum of angles on a straight line is 180 degrees.
Therefore,
[tex](6p-2)+(3p-7)=180[/tex]
[tex]6p-2+3p-7=180[/tex]
[tex]9p-9=180[/tex]
[tex]9p=189[/tex]
[tex]p=21[/tex]
geometry homework help
Answer:
To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128
m<1= 128
For the first one (i think)
Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.
66+84+x=180
You’d get x=30
Now we have 30 as angle 1.
angle 3 and 84 degrees are supplementary so we can just do
84+y=180 which in this case is 96 so angle 3 is 96
Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing
96+43+n=180
in this case n is angle 2 and the measure of angle 2 is 41 degrees.
Final answers:
m<1=30
m<2= 41
m<3= 96
Answer:
Step-by-step explanation:
Question 2
1 = 76+52=128
=180-128
=5266+84 = 150 180-150=30
2. 96+43=139 180-139=
=41
3.180-84
=96
What's the constant in 12n + 7 +13k⁴ + 4+ 39z
Answer:
7, 4 or 11
Step-by-step explanation:
No matter what n, k, or z is, 7 + 4 will always be constant. If you need to go farther, 7 + 4 is 11.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
the equation of a line with slope2/5 and y-intercept 1 is
Step-by-step explanation:
y=(2/5)x + 1
that is the answer
Answer:
y=2/5x+1
Step-by-step explanation:
y=mx+b
m=2/5
b=1
Hope this helps :)
Question 10 of 10 According to this diagram, what is tan 62°? 62 i 7 28° tra OA. A. 15 B. 0 O C. OD D8 O E 17 F
9514 1404 393
Answer:
B. 15/8
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent relation is ...
Tan = Opposite/Adjacent
The side opposite the 62° angle is marked 15.
The side adjacent the 62° angle is marked 8.
Then the tangent ratio for 62° is ...
tan(62°) = 15/8
Kamile sells sandwiches.
In May, she sold 400 sandwiches.
In June, Kamile sold 20% more sandwiches than in May.
In July, Kamile sold 15% fewer sandwiches than in June.
Calculate the percentage change in her sales from May to July.
Answer:
b
Step-by-step explanation:
Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?
A-$1.42
B- $1.15
C- $0.35
D- $0.63
The cost in dollars of each large envelope is $1.42.
Two equations can be derived from this question:
14p + 5l = 12 equation 1
10p + 15l = 24.80 equation 2
Where:
p = postcards
l = large envelopes
To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.
140p + 50l = 120 equation 3
140p + 210 = 347.20 equation 4
Subtract equation 3 from 4
227.20 = 160l
Divide both sides of the equation by 160
l = 227.20 / 160
l = $1.42
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Due Tomorrow: answer question 1 with steps
Answer:
the 1 st qn that is no2 c is just down right corner am I right
Step-by-step explanation:
plzzz make me ans as the brainliest ans
The table below provides the values of the functions g(t) and h(t) for
several values of t.
Which of the following is a solution to the equation f(t)=h(t)
Answer:
D) t = 5
Step-by-step explanation:
when t =5 both functions have the same x and y value
The Lamborghini Sports Car reaches a maximum speed of 200km/h in 15.50s
The McLaren Sports Car displays the same time as the Ferrari Sports Car.
The Renault Sports Car is small in size.
The Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car.
The Renault Sports Car is three tenths of a second faster than the McLaren Sports Car.
What time does the Renault Sports Car displays to reache a maximum speed of 200km/h?
The Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.
Since the Lamborghini Sports Car reaches a maximum speed of 200km / h in 15.50s, the McLaren Sports Car displays the same time as the Ferrari Sports Car, the Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car, and the Renault Sports Car is three tenths of a second faster than the McLaren Sports Car, to determine what time does the Renault Sports Car displays to reache a maximum speed of 200km / h the following calculation must be performed:
15.5 - 0.1 + 0.3 = X 15.4 + 0.3 = X 15.7 = X
Therefore, the Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.
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Substitution method
-3x + 3y = 4
-x + y = 3
When asked a certain question in a poll, 72% of the people polled answered yes. If 56 people did not answer yes to that question, what is the total number of people who were polled?
Answer:
i think its 200
Answer:
200people
Step-by-step explanation:
28 percent=56people100=?100 multiplied by 56=5600 5600 divide by 28=200Use the functions f(x)=-x^2+8x-11 and h(x)=-x-7
h(8)-2*f(3)
This is called question #18 on the worksheet images.
Answer:
Step-by-step explanation:
h(8) = -8 - 7
h(8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
h(8) - 2 f(3) = -15 - 2(4) = -23
The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Functions f(x) = -x²+8x-11 and
h(x)=-x-7
h(-8) = -8 - 7
h(-8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
= h(8) - 2 f(3)
= -15 - 2(4)
= -23
Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
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Mariam only saves quarters and dimes. She has already saved 13 quarters and 5 dimes. She wants to purchase a book that costs 7.75. Not including the money she already has, what combinations of quarters and dimes could Mariam save so she has exactly enough money to buy the book?
Answer: 8 Quarters, 20 Dimes
Quarters:
Current/ 13
13x25= 3.25
Dimes:
Current/ 5
5x10= 50 …. 50 cents
Current price: $3.75
Need $4.00
What you need:
Quarters: +8
4 = 100 x2 is 200 …. $2.00
Dimes: + 20
10 = 100 x2 is 200 … $2.00
Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?
A family buys a studio apartment for $140,000. They pay a down payment of $28,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $7,000 down payment be?
Answer:
$their down payment is $280 the percentage of the purchase is $2.8