Answer:
The percentage increase in [tex]T[/tex] is 20 %.
Step-by-step explanation:
Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:
Initial value
[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)
Final value
[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]
[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)
(1) in (2):
[tex]T_{ii} = 1.2\cdot T_{i}[/tex]
And the percentage increase in T is:
[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)
[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]
[tex]\%T = 20\,\%[/tex]
The percentage increase in [tex]T[/tex] is 20 %.
Answer:
Step-by-step explanation:
Lets subsitute k, x and y as 100 to make it easier for us
So k = 100, x = 100, y = 100
Step 1 :- T = kx/y
- T = 100 * 100 / 100 = 100
Step 2 :- Increase by 20% = 100 * 20% = 20, 100 + 20 = 120
Step 3 :- Percentage Increase = Increased value OVER original calue MULTIPLIED by 100%
SO = ( 120 - 100 ) ,,,, 20/100 * 100% = 0.2* 100 = 20%
Use any strategy to solve 3,600 divided by 9. Upload your work.
Answer:
400
Step-by-step explanation:
3600/9=400
36/9=4
add the zeros back in after
Answer:
400
Step-by-step explanation:
I hope this helps you
3. A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG who had participated in leadership positions while a student. She discovered that it has taken an average of 4.97 years for these student leader graduates to finish their degrees, with a standard deviation of 1.23. The average for the entire student body is 4.56 years. Is the difference between student leaders and the entire student population statistically significant at the alpha
Answer:
not statistically significant at ∝ = 0.05
Step-by-step explanation:
Sample size( n ) = 61
Average for student leader graduates to finish degree ( x') = 4.97 years
std = 1.23
Average for student body = 4.56 years
Determine if the difference between the student leaders and the entire student population is statistically significant at alpha
H0( null hypothesis ) : u = 4.56
Ha : u ≠ 4.56
using test statistic
test statistic ; t = ( x' - u ) / std√ n
= ( 4.97 - 4.56 ) / 1.23 √ 61
= 2.60
let ∝ = 0.05 , critical value = -2.60 + 2.60
Hence we wont fail to accept H0
This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05
This is number three Nd I neeed help with this I can help you with anything
Answer:
a. False
b. False
c. True
d. True
e. True
18)
Find the area of a regular pentagon with an apothem of 2.75 cm and a side length of 4 cm, (round to the nearest whole number)
A)
14 cm
B)
28 cm
C)
56 cm
D)
112 cm?
Answer:
B) 28 cm^2
Step-by-step explanation:
First, find the perimeter 5*4=20
A= ½ 2.75(20) = 27.5
(round to the nearest whole number)
Got it right on the test
I NEED HELP FAST! Which of the following sets of numbers could not represent the three sides of a triangle?
Answer:
15 27 44
Step-by-step explanation the two smaller numbers combined has to be bigger than the other number.
If LW = 5x + 2 and LJ = 11x + 2 in the parallelogram below. Find LW.
Answer:
A. 12
Step-by-step explanation:
Recall: one of the properties of a parallelogram is that the diagonals bisect each other. This means that:
LJ = 2(LW)
11x + 2 = 2(5x + 2)
11x + 2 = 10x + 4
11x + 2 - 2 = 10x + 4 - 2
11x = 10x + 2
11x - 10x = 10x + 2 - 10x
x = 2
✅LW = 5x + 2
Plug in the value of x
LW = 5(2) + 2
LW = 10 + 2 = 12
What is the difference of (5 + 3i) and (2 + 9i)?
A. 7 + 12i
B. 3 + 6i
C. 3 − 6i
D. 7 + 6i
The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.
What is the difference of the two complex numbers (5 + 3i) and (2 + 9i)?It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.
Since the numbers given are; (5 + 3i) and (2 + 9i).
The difference can be mathematically as follows;
( 5 + 3i ) - ( 2 + 9i )
By the Distributive property; we have;
5 + 3i - 2 - 9i
Collect like terms so that we have;
= 5 - 2 + 3i - 9i
= 3 - 6i
On this note, the difference between the two complex numbers is; 3 - 6i.
Read more on subtraction of complex numbers;
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Which shoe size is the mode?
Answer:
6
Step-by-step explanation:
pleaseeee help I will mark you brainiest!!!!!!
Answer:
I think it is -2,a+c, than b
A sample with a mean of M = 8 has EX = 56. How many scores are in the sample?
The number of scores is n =
Answer:
[tex]n = 7[/tex]
Step-by-step explanation:
Given
[tex]\bar x = 8[/tex] --- the mean
[tex]\sum x = 56[/tex] --- sum of scores
Required
The number of scores (n)
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Make n the subject
[tex]n = \frac{\sum x}{\bar x}[/tex]
[tex]n = \frac{56}{8}[/tex]
[tex]n = 7[/tex]
Is sin( - 7) positive or negative? (Why?)
2 trifles cost 9 pound
How much will 6 trifles cost?
2 = 9
9 ÷ 2 = 4.5
4.5 x 6 = 27
It will cost 27 pounds.
Hope this helps; have a great day!
Which of the following is not true about the boundary line in the graph of a linear inequality in two variables?
Answer:
The correct answer is D
Step-by-step explanation:
Boundary points are NOT always solutions
The statement not true about the boundary line in the graph of a linear inequality in two variables is he point on boundary line are always solutions to the linear inequality
What does boundary line in graph of a linear inequality in two variable represent ?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.
According to the question
Boundary line in graph of a linear inequality in two variable represents :The boundary line is dashed or strict for > and < The boundary line is solid or non strict for ≤ and ≥. boundary line divides the coordinate plane into two halves boundary line where one half represents the solutions of the inequalityHence, The statement not true about the boundary line in the graph of a linear inequality in two variables is he point on boundary line are always solutions to the linear inequality.
To know more about boundary line in graph of a linear inequality in two variable represent here:
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Find the area of the shape shown below.
Answer: 4, 800
Step-by-step explanation:
answer pls ty ill give brainliest
Answer:
2.5
Step-by-step explanation:
Answer:
2.5 im not sure ThanksStep-by-step explanation:
Im not sure
Can someone help please
what is 1/2 X (6 X 4)+3 + 2
Answer: 17
Step-by-step explanation:
Answer:
your answer is 17
Step-by-step explanation:
pls give brainliest!
Have a great day!
giving brainliest!!!
Answer:
133 square centimeters
Step-by-step explanation:
Answer:
Surface A≈146.25 square centimeters
Step-by-step explanation:
Which parametric equations represent y = x + 2? Check all that apply.
Answer:
The correct choices are the first, second, and fifth options.
Step-by-step explanation:
Edge 2021
Answer:
a,b and e
Step-by-step explanation:
on edg 2021
23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.
HELP!
Answer:
the IQR is 71
Step-by-step explanation:
the Xl is 99 and the Xu is 170. Xu-Xl=71
1. The circumference of a circle is 16p centimeters.
(a) Find the diameter of the circle.
(b) Find the area of the circle.
Answer: Diameter: 8
Area: 201.1
Step-by-step explanation:
Diameter: Use the formula for the area of a circle:
Use the formula for the area of a circle:
A=πr2
Here, the area is 16π:
16π=πr^2
Divide both sides by π:
16=r^2
Take the square root of both sides: √16=√r^2
4=r
Since the radius of the circle is 4, the diameter is twice that:
d=4×2=8
Area:
Formula:
A = π r^2
A= Area R= Radius
Add Radius
A= π 8^2
Solve:
Simplify π⋅8^2
Exact Form:
A=64π
Decimal Form:
A=201.06192982
Yana needs at least $31.50 for art supplies. He earns $3.50 per day as a dog walker. Which graph represents the number of days Yana must work to earn enough money to buy the art supplies? A. 84456 B. 84455 C. 84454 D. 84453
Answer:
9 days
Step-by-step explanation:
31.50÷3.50 is 9 and 9×3.50 is 31.50
Find Sin L=
Will mark as brainliest
Answer:
[tex]\Huge\boxed{\frac{3}{5}}[/tex]
Step-by-step explanation:
The trigonometric ratio for sine is
sin = opposite over hypotenuse
the opposite side length of L is 6 and the hypotenuse is 10
so sin L = 6 over 10
then we simplify
6/2 = 3
10/2=5
the answer would be 3/5
When the sum of a number and 14 is
divided by 3, the result is 4.
Answer:
it is 4.6 sorry girl
Step-by-step explanation:
Answer:
Step-by-step explanation:
4.6=4 3/5=23/5
Please help grades close today
Answer:
Step-by-step explanation:
17. 1 foot=12 inches
So subtract 12 from 28
28-12
=16
Lena's puppy will grow 16 inches more.
18. The kittens can be
3.4, 3.3, 3.2, 3.1, 3, etc. ( units in ounces)
There are a lot of combinations so you have to find out ALL the possible combined values. ( I don't think I can fit all of them on here you will probaly have to do some work for it)
Hopefully this helps!!!
☁️ Answer ☁️
17. The puppy will grow 16 inches
One foot equals 12 inches. Lena's puppy will grow to be at most 28 inches. 28-12=16 inches.
18. 24.5
the possible values of the combined weights of the kittens is not more than 24.5 ounces. Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces
7) In Emily's bead collection, 1/2 of her beads are red and 1/4 of her beads
are green. What fraction of her beads are NOT red?
pls help i have 5 minutes til it’s due
Answer:
x=115
Step-by-step explanation:
Straight angle = 180 degrees...
65 is accounted for so...
180-65=115
115 degrees is your final answer :)
Answer:
115
Step-by-step explanation:
x° = 180° - 65°
(Linear pair angles)
x° = 115°
x = 115
What is the value of g(-4)
I <-4
gir) =
+32 + 11, 1 > -4
A.
..1
OB
15
OCH 27
OD.
Answer:
e a d
Step-by-step explanation:
7. In the figure, AABC-AXYZ. What is the perimeter of AABC? Show your work.
. Mr. View is 8 years older than Ms. Sun. In 7 years, the sum of their ages will be 110. How old are they now?