Answer:
(a) Increased by %
(b) Increased by %
(c) Decreased by %
(d) Decreased by %
(e) Increased by %
(f) Decreased by %
GRADE ANSWER
Answers
Answer:
(a) Increased by 100%
(b) Increased by 50%
(c) Decreased by 33.33%
(d) Decreased by 50%
(e) Increased by 200%
(f) Decreased by 66.67%
Step-by-step explanation:
To calculate percentage change, we can use the following formula:
[tex]\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100[/tex]
Positive value of percentage change means increase and
Negative value of percentage change means decrease.
Solution a)
Old Value = 1
New Value = 2
[tex]\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%[/tex]
Increase of 100%
Solution b)
Old Value = 2
New Value = 3
[tex]\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%[/tex]
Increase of 50%.
Solution c)
Old Value = 3
New Value = 2
[tex]\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%[/tex]
Decrease of 33.33%.
Solution d)
Old Value = 2
New Value = 1
[tex]\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%[/tex]
Decrease of 50%.
Solution e)
Old Value = 1
New Value = 3
[tex]\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%[/tex]
Increase of 200%.
Solution f)
Old Value = 3
New Value = 1
[tex]\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%[/tex]
Decrease of 66.67%.
So, the answer is:
(a) Increased by 100%
(b) Increased by 50%
(c) Decreased by 33.33%
(d) Decreased by 50%
(e) Increased by 200%
(f) Decreased by 66.67%
Related Questions
Please help! Correct answer only, please! Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product? A · B A. B. C. D.
Answers
Answer:
Option B.
Step-by-step explanation:
Let the two matrix A and [tex]A^{-1}[/tex] are,
A = [tex]\begin{bmatrix}4 & 3\\ 3 & 2\end{bmatrix}[/tex] and [tex]A^{-1}[/tex] = [tex]\frac{1}{(-1)}[/tex][tex]\begin{bmatrix}2 &-3\\-3 & 4\end{bmatrix}[/tex]
Therefore, [tex]A^{-1}[/tex] = [tex]\begin{bmatrix}-2 & 3\\3 & -4\end{bmatrix}[/tex]
Now [tex]A.A^{-1}[/tex] = [tex]\begin{bmatrix}4 & 3\\ 3 & 2\end{bmatrix}.\begin{bmatrix}-2 & 3\\3 & -4\end{bmatrix}[/tex]
= [tex]\begin{bmatrix}(-8+9) & (12-12)\\(-6+6) & (9-8)\end{bmatrix}[/tex]
= [tex]\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}[/tex]
Therefore, Option (B) will be the answer.
state is the triangles in each pair are similar. If so, say how you know they are similar and complete the similarity statement
Answers
Answer:
1st
Step-by-step explanation:
The two triangles are similar by AA
Firstly, we can see that angle LKM and QKR are congruent as they are vertical angles.
The second set can be identified by noticing that RM is a transversal through 2 parrallel lines LM and QR. That manes QRK, and LMK alternate interior angles, showing that the angles are congruent. Hence similarity by AA
Mastery Test
What is the y-value when x equals -16?
y = -200 - 12(x)
Answers
one expression that is equivalent to this sum is 18+12
Answers
Answer:
30+0
Step-by-step explanation:
18+12=30, 30+0= 30.
Which graph is defined by f(x) = |x2 − x − 2|? A. graph A B. graph B C. graph C D. graph D
Answers
Answer:
Step-by-step explanation:
When the question comes with answer choices, please share them. In this case it sounds like there were four graphs from which to choose.
f(x) = |x^2 − x − 2| is always zero or greater, due to the absolute value function.
x^2 − x − 2 = 0 factors to (x - 2)(x + 1) = 0, so the zeros of f(x) are {-1, 2}.
Plot x-intercepts {-1, 2}. The axis of symmetry is the vertical line x = 1/2, which is precisely halfway between the x-intercepts. If we now choose the test number x = 0, we find the value of f(0) to be |-2}, which tells us that the y-intercept is (0, |-2|), or (0, 2), so we have a parabolic curve opening down between x = -1 and x = 2 and touching (but not crossing) the x-axis at those x-values. To the left of x = -1 the curve increases steadily from y = 0 in Quadrant II; to the right of x = 2, the curve increases steadily from y = 0 in Quadrant I.
The graph for the given function is plotted below.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=|x²-x-2|.
Graph the absolute value using the vertex and a few selected points.
Put x= -2, -1, 0 and 1 in the given function, we get
When x=0
y= |0-0-2|
y=0
When x=1
y=|1-1-2|
y=2
When x=-2
y=|4+2-2|
y=2
Now, plot points (-2, 4), (-1, 0), (0, 2) and (1, 2) on graph
Therefore, the graph for the given function is plotted below.
To learn more about the function visit:
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Please answer this math question !! 20 POINTS AND BRAINLIEST!!
Answers
Answer:
3.1 ≤d≤183.1
Step-by-step explanation:
d = 4.5t + 3.1
Since this is a line, we can find the range by putting in the minimum and maximum of the domain
domain = 0≤t≤40
Let t =0
d = 0+3.1 so the minimum of the range is 3.1
Let t = 40
d = 4.5(40)+3.1
d = 183.1 so the maximum is 183.1
The range is 3.1 ≤d≤183.1
3y+4/2-6y = -2/5
solve please help me with this answer please
Answers
Answer:
[tex]\frac{3y+4}{2-6y} = -\frac{2}{5} \\y=-8[/tex]
Answer:
y = -8
Step-by-step explanation:
Rule => [tex]\frac{x}{y} = \frac{a}{b} , x.b = y.a[/tex][tex]\frac{3y+4}{2-6y} = \frac{-2}{5}[/tex]
Rule => [tex]-\frac{x}{y} = \frac{-x}{y} = \frac{x}{-y}[/tex]5 ( 3y + 4) = -2 ( 2 - 6y)
15y + 20 = -4 + 12y
15y - 12y + 20 = -4 + 12y -12y
3y + 20 = -4
3y + 20 - 20 = -4 -20
3y = -24
y = -8
Hope this helps ^-^
what is the value of x in the triangle below
Answers
Answer:
2
Step-by-step explanation:
5Y+8 -ly-8-8y-1"
Your answer
Answers
Answer:
[tex]-4y-1[/tex]
Step-by-step explanation:
[tex](5y+-y+-8y)+(8+-8+-1)[/tex]
[tex]-4y-1[/tex]
Answer:
5y + 8 - 1y - 8 - 8y - 1
variables = -4y
numbers = -1
-4y - 1 is the answerthe scale on the map started as 1 : 100 000 on the map jennifer estimates that the distance to her destination is 8cm if she is correct in her estimate how many kilometers is it to her destination
Answers
Answer:
8km
Step-by-step explanation:
1:100000
8 : x
x = the distance travelled in cm = 8 x 100000 = 800000cm
convert cm to km = 800000/100000 = 8km
Hope this helps.
Good Luck
Paul uses the equation y=8x+40 to model the situation.
What does the number 40 represent in this equation? Be sure to explain using a complete thought!
Answers
Answer:
The point 40 refers to the y-intercept of the linear model
Step-by-step explanation:
Looking at the equation, we can conclude that it is the equation of a straight line or a linear equation.
What this means is that it follows the general form of the equation of a straight line which is
y = mx + c
where m is the slope and c refers to the y-intercept
when we say the y-intercept, we mean the point at which the straight line plot crosses the y-axis at which x = 0
Extrapolating this, we mean the term 40 in the model refers to the y-intercept of the given linear equation
it is at the point 40 that the straight line crosses the or touches the y-axis.
Also at this point, the value of x = 0
what is 65% of 400?
Answers
Answer:
........................ 260
Answer:
260
Step-by-step explanation:
Write 65% as
65/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
65/100 of 400 = 65/100 × 400
=260
What is the volume of the cylinder shown below?
Answers
Answer: V=1008π units³
Step-by-step explanation:
The formula for volume is [tex]V=\pi r^2h[/tex]. We can plug in our values to find volume.
[tex]V=\pi (12)^2(7)[/tex]
[tex]V=1008\pi[/tex]
Un cometa es visible desde la tierra cada 24 años y otro, cada 36 años. El último año que fueron visibles conjuntamente fue en 1944. ¿En qué año volverán a coincidir?
Answers
Answer:
Ambos cometas coincidirán en 2016.
Step-by-step explanation:
(The following exercise is presented in Spanish and for such reason explanation will be held in that language).
Sean [tex]t_{1}[/tex] y [tex]t_{2}[/tex] los años en los que se hacen visibles los cometas, respectivamente. Se sabe que los cometas coinciden cuando se pueden ver el mismo año, ese año estaría asociado al mínimo común múltiplo de ambos intervalos de tiempo, el cual sería igual a 72 años. Entonces, ambos cometas volverán a coincidir en 2016.
Help me please i am marking brainiest, no one ever helps me with anything i am really struggling as a kid to move on to the next grade so please me me out with this problem please for i can force myself to keep going:
A student is doing a reading assignment. After 37 minutes of reading, she skims the pages ahead and estimates that she still has 55% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
Answers
If you multiply this by 100% you get 122 minutes for the total assignment
A health club surveyed 175 members about which types of equipment they had used in the past month. Of the 175 members, 117 had used treadmills, 89 had used stationary bikes, and 53 had used both types of equipment. Some members had used neither type of equipment. Of the 175 members, how many had used treadmills, stationary bikes, or both?
Answers
Answer:
153 members
Step-by-step explanation:
Given;
117 had used treadmills
N(A) = 117
89 had used stationary bikes
N(B) = 89
53 had used both types of equipment
N(A∩B) = 53
The number of members that had used treadmills, stationary bikes, or both is;
N(A or B) = N(A) + N(B) - N(A∩B)
N(A or B) = 117 + 89 - 53
N(A or B) = 153
The number of members that had used treadmills, stationary bikes, or both is 153
Determine the attributes of the hyperbola represented by this equation:
(y-21)^2/20^2-(x+20)^2/21^2=1
The vertices are A: (-41,21) and (1,21), B: (-20,0) and (-20,42), C: (-20,1) and (-20,41), D: (20,1) and (20,41).
The foci are A; (-50,21) and (10,21), B: (-20,-8) and (-20, 50), C: (-20,-10) and (-20,52), D; (20,-8) and (20,42)
Answers
Answer: The above answer is correct.
1. C
2. B
Step-by-step explanation: I got this right on Edmentum.
The vertices of the hyperbola will be (–20, 41) and (–20, 1). Then the correct option is C. The foci of the hyperbola will be (–20, 50) and (–20, –8). Then the correct option is B.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
The equation of the hyperbola is given below.
[tex]\rm \dfrac{(y-21)^2}{20^2}-\dfrac{(x+20)^2}{21^2}=1[/tex]
The vertices (h, k + a), (h, k – a) are the two bending points of the hyperbola with center (h, k).
The center of the hyperbola will be at (-20, 21).
The value of a and b will be 20 and 21, respectively.
Then the vertices of the hyperbola will be
(–20, 21 + 20) and (–20, 21 – 20)
(–20, 41) and (–20, 1)
Then the correct option is C.
The foci (h, k + c), (h, k – c) are the two bending points of the hyperbola with center (h, k).
c² = a² + b²
c² = 20² + 21²
c = 29
Then the foci of the hyperbola will be
(–20, 21 + 29) and (–20, 21 – 29)
(–20, 50) and (–20, –8)
Then the correct option is B.
More about the hyperbola link is given below.
https://brainly.com/question/12919612
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Kirby is packing granola bars for a field trip. He already packed 2 bags
with 5 granola bars in each bag. He has 10 more granola bars to pack.
How many granola bars will Kirby pack in all?
granola
bars
Answers
Answer:
i need help
Step-by-step explanation:
Simplify: (2x-3)(4x+1)
Answers
Answer:
[tex]8x^2-10x-3[/tex]
Step-by-step explanation:
[tex](2x-3)(4x+1)[/tex]
[tex]2x(4x+1)-3(4x+1)[/tex]
[tex]8x^2+2x-12x-3[/tex]
[tex]8x^2-10x-3[/tex]
A 2015 poll shows the president's approval rating to be 42%, a drastic 31% fall from his approval rating in 2014. What was his approval rating in 2014?
Answers
Answer:
The president's approval rating in 2014 is 60.9%
Step-by-step explanation:
The parameters given are;
President's approval rating in 2015 = 42%
President's approval rating in 2015 = 31% less than 2014 president's approval rating
Therefore, whereby the president's approval rating in 2014 = x, we have;
42% = x - 31% of x = x - 0.31·x = 0.69·x
Hence, x% = 42% ÷ 0.69 = 60.8696 ≈ 60.9%
The president's approval rating in 2014 = 60.9%.
his approval rating in 2014 is 60.9%
The calculation is as follows:Here we assume the president's approval rating in 2014 = x
So,
42% = x - 31% of x
= x - 0.31·x
= 0.69·x
Now
Hence, x% [tex]= 42\% \div 0.69[/tex] = 60.8696 ≈ 60.9%
Learn more: https://brainly.com/question/1368131?referrer=searchResults
A tent guy line supports one of the upright tent poles. It runs from the top of the pole to a peg in the ground two and a half metres away from the base of the pole. If the guy line is 359cm long, how tall is the upright tent pole? Give your answer in centimetres correct to the nearest centimetre.
Answers
Answer:
258 cm
Step-by-step explanation:
Given:
Distance from the base of the pole to the base of a tent guy line is [tex]2\frac{1}{2}[/tex]
Length of a tent guy line is 359 cm
To find: Height of the upright tent pole
Solution:
Let AB denotes the pole and AC denotes a tent guy line.
According to Pythagoras theorem, in a right angled triangle, square of hypotenuse is equal to sum of squares of other two sides.
[tex]AC^2=AB^2+BC^2[/tex]
[tex]AC=359 cm\\AB=x\\BC=2\frac{1}{2}\,m=\frac{5}{2}\,m=\frac{5}{2}\times 100=250\,cm[/tex]
Therefore,
[tex](359)^2=x^2+(250)^2\\128881=x^2+62500\\128881-62500=x^2\\66381=x^2\\x=257.6\,cm\approx 258\,cm[/tex]
how would you solve x + 3y = 18 -3x - 12y = -75 showing all of the work
Answers
Answer:
x = -3, y = 7.
Step-by-step explanation:
x + 3y = 18
-3x - 12y = -75
Multiply the first equation by 3:
3x + 9y = 54
Adding the last 2 equations to eliminate x:
-3y = -21
y = 7.
Substitute y = 7 into the first equation:
x + 3(7) = 18
x + 21 = 18
x = 18 - 21
x = -3.
out of 6,29 and 22 which 2 or 3 numbers which ones are composite? pls answer the question I'm doing something I have to do so pls I need an answer
Answers
Answer:
6 = 2 * 3 so it is composite
22 = 2 * 11 so it is composite
29 is a prime number
Step-by-step explanation:
Answer:29
Step-by-step explanation:
6 = 2 and 3
22 = 2 and 11
29 = 1 and 29
therefore 29 is the composite number
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
These lines are parallel so they have no solutions
Answer:
Infinite Solutions
Step-by-step explanation:
When graphed, the lines overlap with each other. This means that the system has an infinite number of solutions.
38,32,26,20
What is the next term in this sequence?
Answers
You are taking away 6 each time
Answer:
Step-by-step explanation:
the next term is 14
Will crown brainiest the first answer
Answers
Answer:
2
Step-by-step explanation:
10a² : 5a² = 10 : 5 = 2
A plane makes a return journey across the Atlantic Ocean, a distance
of 3800 km each way. From west to east the journey time is 6 hours
12 minutes. Because of the jet stream the plane takes 7 hours 18 minutes
to fly the same journey east to west.
Find the average speed of the plane for each crossing.
Answers
Answer:
Below in bold.
Step-by-step explanation:
6 hours 12 minutes = 6.2 hours
7 hours 18 minutes = 7.3 hours.
Average speed = distance / time
So for West to East, average speed = 3800 / 6.2 = 612.9 km/hour.
- and for East to West, average speed = 3800 / 7.3 = 520.5 km/hour.
These values are correct to the nearest tenth.
simplify: x-1/5(x-1)squared
Answers
Answer:
[tex]\frac{1}{5x-5}[/tex]
Step-by-step explanation:
=> [tex]\frac{x-1}{5(x-1)^2}[/tex]
=> [tex]\frac{x-1}{5(x-1)(x-1)}[/tex]
Cancelling (x-1)
=> [tex]\frac{1}{5(x-1)}[/tex]
=> [tex]\frac{1}{5x-5}[/tex]
The simplified form of the expression (x-1)/5(x-1)² is 1/(5x-5).
The given expression is (x-1)/5(x-1)²
To simplify the expression (x-1)/5(x-1)², we can first cancel out the common factor of (x-1) in the numerator and denominator:
(x-1)/(5(x-1)²) = 1/[5(x-1)]
The expression simplifies to 1 divided by 5 times (x-1), which can be written as:
1/(5x-5)
So, the simplified form of (x-1)/[5(x-1)²] is 1/(5x-5).
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Check all that apply to determine the following conversion.
4 km = ? mm
•Move the decimal place over 6 until to the right
• Move the decimal place over 6 units to the left
•Divide 4 km by 1’000’000 to calculate mm
• Multiply 4km by 1’000’000 to calculate mm
• Add 1’000’000 to calculate mm
• Move the decimal place 6 units left, then 2 units to the right
Answers
Answer:
4 km -> 400,000 mm
put a decimal point at the end of 4 and move it to the left 6 times because we know that 1 km is equal to 100,000 and it has zeros.
hence, it is proven that 4 km is equal to 4000,000.
Easy question for y’all math people, easy points. Question in photo :)
Answers
Answer:it would be D
Step-by-step explanation:
Input would be the x and output the y
Answer: D
Step-by-step explanation: The input is X, Output is Y
