Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −2 t4 − 3 2t2 − 3t + 3
Final answer:
To evaluate the limit of the given function, substitute the value that t is approaching into the expression. In this case, t is approaching -2. Plugging -2 into the function, we get 0.7647.
Explanation:
To evaluate the limit of the given function, we can substitute the value that t is approaching into the expression. In this case, t is approaching -2. Plugging -2 into the function, we get:
lim t → -2 t^4 - 3 / 2t^2 - 3t + 3 = (-2)^4 - 3 / 2(-2)^2 - 3(-2) + 3 = 16 - 3 / 8 + 6 + 3 = 13 / 17 = 0.7647
Therefore, the limit is approximately 0.7647.
The coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1).
Find the midpoint of FJ
A) (0,4)
B) (1, -2)
C) (-4, 0)
D) (5, 2)
This is a question from my math chapter 20: Figures in the Coordinate Plane
i think that is C i had that one but i forget
hope that help
BMK
Answer:
B. [tex](1,-2)[/tex]
Step-by-step explanation:
We have been given that coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1). We are asked to find the coordinates of mid-point of segment FJ.
We will use mid-point formula to solve our given problem.
[tex]\text{Mid-point}=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Upon substituting the coordinates of points F and J in mid-point formula we will get,
[tex]\text{Mid-point}=\frac{-5+7}{2},\frac{-3+-1}{2}[/tex]
[tex]\text{Mid-point}=\frac{2}{2},\frac{-4}{2}[/tex]
[tex]\text{Mid-point}=1,-2[/tex]
Therefore, the coordinates of mid-point of segment FJ are [tex](1,-2)[/tex] and option B is the correct choice.
Simplify 1/x-10 divided by 9x/x^2-9x-10
Answer:(x+1)/9x
Step-by-step explanation: Hope this helps
You need to buy 5 notebooks for your classes at school. Each notebook costs $2.79. What is the total costs of 5 notebooks Before tax?
multiply 2.79 x 5
2.79*5 = 13.95 before tax
$5.50 markup 75% what is the selling prize
To calculate the selling price with a 75% markup on a $5.50 item, multiply the original cost by 0.75 to find the markup amount and then add it to the original cost. The final selling price is $9.63.
Calculating the Selling Price with a Markup
To determine the selling price of an item with a 75% markup, follow these steps:
Determine the original cost of the item, which is $5.50 in this case.Calculate the markup amount by multiplying the original cost by the markup percentage. Express the percentage as a decimal:Therefore, the selling price for the item with a 75% markup on an original cost of $5.50 is $9.63.
NEED ASAP
Which linear inequality is represented by the graph?
y ≤ 1/3x − 1
y ≥ 1/3x − 1
y < 3x − 1
y > 3x − 1
Answer:
[tex]y\geq \frac{1}{3}x -1[/tex]
Step-by-step explanation:
To find linear inequality, first we find the equation of the line.
LEts pick two points (3,0) and (0,-1)
To get equation of a line [tex]y=mx+b[/tex], use slope formula to find slope m
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{0+1}{3-0} =\frac{1}{3}[/tex]
y intercept is (0,-1) . so b=-1
The equation of the line becomes
[tex]y=\frac{1}{3}x -1[/tex]
now we look at the shaded region.
the graph is shaded at the top and also we have solid line . so we use >= symbol
[tex]y\geq \frac{1}{3}x -1[/tex]
The slope of a line running through points (2, 3) and (1, 7) is:
4.
-4.
2.
-2.
If a circle has a diameter of 30 meters, which expression gives its area in square meters?
A.15^2 x π
B. 30 x π
C. 30^2 x π
D. 15 x π
Answer:
A.15^2 x π (APEX)
Step-by-step explanation:
What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cubic inches 20.93 cubic inches 24.25 cubic inches 33.49 cubic inches?
what is the question ?????
What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cubic inches 20.93 cubic inches 24.25 cubic inches 33.49 cubic inches? what are we taking the diffference from
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Which model best represents the data?
A.) y = 47(1.191)x
B.) y = 34(1.204)x
C.) y = 26.9x – 1.3
D.) y = 27x – 4
Answer:
Hence, the model that best represents the data is:
[tex]y=26.9x-1.3[/tex]
Step-by-step explanation:
We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.
We are asked to find which model best represents the data?
So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:
We are given 4 functions as:
A)
[tex]y = 47(1.191)^x[/tex]
B)
[tex]y=34\times (1.204)^x[/tex]
C)
[tex]y=26.9x-1.3[/tex]
D)
[tex]y=27x-4[/tex]
We make the table of these values at different values of x.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Hence, the function that best represents the data is:
Option C.
y=26.9x-1.3
Melinda has 1 seashell, and Jun has 9 seashells. If Melinda and Jun put their seashells together and then divide them up equally, how many will each one of them have? 3 5 8 10
Answer:
B.) 5
Step-by-step explanation:
Just did this :3
The formula F=9/5(K−273.15)+32
converts a temperature from kelvin K to degrees Fahrenheit F
a. Solve the formula for K
The formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]
The given expression:
[tex]F = \frac{9}{5} (K - 273.15) + 32[/tex]
To find:
the formula for KThe formula for K is obtained by making K the subject of the formula as shown below;
[tex]F = \frac{9}{5} (K - 273.15) + 32\\\\subtract \ 32 \ from \ both \ sides \ of \ the \ equation\\\\F - 32 = \frac{9}{5} (K - 273.15)\\\\multiply \ both\ sides \ by \ 5\\\\5(F - 32) = 9(K - 273.15)\\\\divide \ both\ sides \ by \ 9\\\\\frac{5}{9} (F - 32) = K - 273.15\\\\add \ 273.15 \ to \ both\ sides \ of \ the \ equation\\\\\frac{5}{9} (F - 32) + 273.15 = K\\\\[/tex]
Thus, the formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]
Learn more here: https://brainly.com/question/15469690
The drawing below is an example of what kind of perspective?
One-point
Two-point
Three-point
Four-point
Five-point
Answer:
Two-point
Step-by-step explanation:
"Orthogonal" lines intersect the horizon at two points. This is an example of 2-point perspective.
What is the point-slope equation of a line with slope -4 that contains the point (-2, 7)?
A. y + 7 = -4(x + 2)
B. y + 7 = -4(x - 2)
C. y - 7 = -4(x - 2)
D. y - 7 = -4(x + 2)
At the movie theatre, child admission is $6.20 and adult admission is $9.80 . On Monday, twice as many adult tickets as child tickets were sold, for a total sales of $593.40 . How many child tickets were sold that day?
Lou has 3 over 4 of an hour to do his math homework, play video games and help with dinner. If he splits his time equally between the three activities, how much time will he spend on each?
_____ of an hour
3/4 divided by 3
3/4 *1/3 = 3/12 = 1/4
If i want to be a real boy whats the equation?
Answer: 15²=225
225-(7.5²•3.14)=48.375 or to the nearest form 48.38.
Step-by-step explanation: In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".
Use the Remainder Theorem to determine which of the following is a factor of p(x) = x 3 - 2x 2 - 5x 6.
Answer:
x-3
Step-by-step explanation:
Raina wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 55 feet. Suppose each can of paint will cover 275 square feet. How many cans will she need to paint the ceiling?
area of the ceiling = 55 x 55 = 3025 square feet
3025/275 = 11 cans
He measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. what is the measure of the smallest angle?
How many ways are there to select 7 countries in the united nations to serve on a council if 1 is selected from a block of 56, 3 are selected from a block of 63 and 3 are selected from the remaining 70 countries?
You pick 3 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 digits of your phone number? assume there are no repeats of digits in your phone number.
The required probability of the numbers picked of the first three digits of the mobile number is 0.037.
Given that,
Pick 3 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 digits of your phone number? assume there are no repeats of digits in your phone number is to be evaluated.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
From 0 to 9 we have 10 numbers,
For the number to be picked,
There must be no repetition,
So the number of ways to 1 pick 1st number is 10,
The number of ways to pick 2nd number is 9
The number of ways to pick 3rd number is 8
Total number of ways = 10 + 9 + 8 = 27
Now probability, that this three-digit would be a mobile number,
= 1 / 27
= 0.037
Thus, the required probability of the numbers picked of the first three digits of the mobile number is 0.037.
Learn more about probability here:
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If 3 consecutive integers sum to 63, the largest of the 3 = ?
This problem states that the sum of 3 consecutive integers is 63 and it asks us to find the largest integer.
Three consecutive integers can be represented as followed.
X → first integer
X + 1 → second integer
X + 2 → third integer
Since the sum of our three consecutive integers is 24, we can write an equation.
X + X + 1 + X + 2 = 63
We can simplify our equation on the left and it will read...
3x + 3 = 63 -3 -33x = 60 ÷3 ÷3 ← divide both sides by 3X = 20Largest integer = X + 220 + 2 = 22Largest integer = 22Two pools are being filled with water. To start, the first pool contains 922 liters of water and the second pool contains 1300 liters of water. Water is being added to the first pool at a rate of 33.75 liters per minute. Water is being added to the second pool at a rate of 20.25 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
After 28 minutes, both pools will have the same amount of water, which will be 1653 liters in each pool.
Explanation:To find out after how many minutes the two pools will have the same amount of water, we can set up an equation where the volume of water in the first pool plus the water added over time equals the volume of water in the second pool plus the water added to it over the same period.
Let x represent the number of minutes after which both pools will have the same amount of water. The equation can be expressed as:
922 + 33.75x = 1300 + 20.25x
To solve for x, we subtract 20.25x from both sides:
922 + 13.5x = 1300
Now, subtract 922 from both sides to isolate the term with x:
13.5x = 378
Divide both sides by 13.5 to solve for x:
x = 28
So, it will take 28 minutes for both pools to have the same amount of water.
To calculate how much water will be in each pool at that time, we can multiply the rate by the number of minutes and add the initial amount of water for either pool:
For the first pool: 922 + (33.75 * 28) = 1653 liters
For the second pool: 1300 + (20.25 * 28) = 1653 liters
Therefore, after 28 minutes, each pool will contain 1653 liters of water.
what is x
3x = 0.5x2
What are the roots of the equation y=x^2 -5x-24
If tan theta = -4/3 in quadrant II, what is cos theta?
A. -4/5
B. 3/5
C. 4/5
D. -3/5
Answer:
The answer is:
D. -3/5
Simplify the expression
Which is the equation of the trend line that can be generated by using the data from year 1 and 5?
For those looking for the letter the answer is C
Your welcome :)
convert this percent into decimal form
3
82-- % same as 82 3/4%
4
82% = 0.82
823/4% = 0.8275