Answer:
Let 2n + 1 be an odd number...... B/2nd option
Step-by-step explanation:
The best choice is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.
Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
What is Conjecture?A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.
First, Only three examples are given which is not appropriate at all.
Second, This is the best proof is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
Fourth, State the meaning of Title without proof.
Learn more about Conjecture here:
https://brainly.com/question/29153415
#SPJ2
v=u + at
u= 2
a= -5
te
Work out the value of v.
Answer:
Time taken=Velocity/acceleration
=2/5
=0.4
v=2-(-5×0.4)
=4
The value for v is 4
Answer:
v=u+at
so, u=2
a=-5
t=(not given/e)
so, v=2+(-5)(N.G/e)
v=2-5(N.G./e)
2hr+20min+60sec are equal to _____ minutes
It is correct
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.
Answer:
She will leave an extra video game which weighs 0.25lb
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?
Solution:
Weight of the items
hairdryer = 1.25 lb
hand-held video game = 0.6 lb
an extra video game = 0.25 lb music player = 0.4 lb
The total weight of the items
= 1.25lb + 0.25lb + 0.6lb + 0.4lb
= 2.5 lb.
Total weight - required weight
= 2.5lb - 2.25lb
= 0.25lb
2.5lb is 0.25lb greater than 2.25lb
Therefore, not all items can be added.
She has to leave out an item equivalent to 0.25lb
Item equivalent to 0.25lb is the extra video game
If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.
Answer:
The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.
Step-by-step explanation:
There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground?
2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.
Answer:
Transformation: (x,y) → (x - 26, y + 17) or
[tex]T _{-26,17}[/tex](x,y) [translation]
A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.
Explanation:
Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).
Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.
The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.
Given all the points, the more complicated work is shown here:
(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).
When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.
The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
Option: D is the correct answer.
D) 20.455 <= X <= 20.545
Step-by-step explanation:
We are given The ideal length of a particular metal rod is 20.5 cm.
It is given that:
The measured length may vary from the ideal length by at most 0.045 cm.
By atmost we mean either less than or equal to that amount but not more than that.
It means that:
|X-20.5|≤ 0.045
⇒ -0.045 ≤ X-20.5 ≤ 0.045
⇒ -0.045+20.5 ≤ X ≤ 20+0.045
⇒ 20.455 ≤ X ≤ 20.545.
Hope this helped! <3
3-4 what is the answer I am dumb plz helq
Answer:
Its -1. Do not call yourself dumb, though, negatives are the easiest subject
Step-by-step explanation:
Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1
Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.
√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
How can I turn this into a graph in Desmos,
Answer:
in Desmos there should be a plus sign right above the list of your equations on the left side. Click that plus sign and then click "table". then enter your numbers. then your points will be shown on the graph
to turn this into a line long press on the button next "y" on the table you have made, then select "lines"
Answer:
you go to desmos and you go to the left side of the website. choose which graph you want to do. if you want to use a regression line graph, or anything else. lmk if you need help
Step-by-step explanation:
Make s the subject of the formula
T^2=2p+as
Step-by-step explanation:
Original formula: T^2 = 2p + as
T^2 - 2p = as
s = (T^2 - 2p) / a
is 1.908x10 to the 17 power scientific why or why not
Answer:
Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.
An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.
Answer:
The instantaneous velocity of the eagle at the given time is 7.5 m/s.
Step-by-step explanation:
Given;
height of the cliff, h = 125 m
the height at which the eagle is flying, h(t) = 125 + 1.25t²
The velocity of the eagle is given by;
v = dh/dt
v = 2.5t
The instantaneous velocity of the eagle at t = 3 seconds is given by;
v = 2.5(3)
v = 7.5 m/s
Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is 7.5 m/s.
By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0
Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
A student solved the equation below using the steps shown, rounding to two decimal places if necessary.
which step contains the first mistake ?
A. step 2
B. step 1
C. step 3
D. step 4
Answer:
Step 1
Step-by-step explanation:
What is the length of line segment KJ?
O 2/3 units
O 32 units
M 3 v
O 3/3 units
O 375 units
The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How
much did she resell the ticket for?
What
Aight bois this can be worth a brainliest so y’all better help me out
Answer:
The differences between a physical change and a chemical change are as follows :
Physical change is a temporary and usually reversible change in which no new substances are formed whereas Chemical change is a permanent and it is usually an irreversible change in which new substances with different properties are formed. In physical change, the chemical composition of the substance remains the same but only the physical properties like state , colour , speed , motion , shape , size etc are changed whereas In chemical change , the physical properties , the chemical properties and the chemical composition of the substances are changed.Physical change is a reversible change as it occurs in forward as well as backward directions whereas chemical change is an irreversible change as it cannot be reversed back from products to reactants.Some of the examples of physical change are glowing of an electric bulb , magnetising an iron nail , preparing a solution , changing of ice into water and water vapour etc. Some of the examples of chemical change are changing milk into curd , rusting of iron , burning magnesium ribbon , decaying grasses , cooking rice etc.Hope I helped!
Best regards ! :D
~[tex] \text{TheAnimeGirl}[/tex]
A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage
SP of a machine = Rs. 990
Profit% = 10 %
SP of other machine = Rs. 1960
loss% = 2 %
Find:his gain or loss percentage
Solution:We know that,
CP * (100 + profit%)/100 = SP
So,
First machine :
CP * (100 + 10)/100 = 990
⟹ CP = 990 * 100/110
⟹ CP = Rs. 900
Second machine :
We know that,
CP * (100 - loss%)/100 = SP
⟹ CP * (100 - 2)/100 = 1960
⟹ CP = 1960 * 100/98
⟹ CP = Rs. 2000
Now,
We have to find the total loss or profit percentage.
Total SP = 990 + 1960 = Rs. 2950 Total CP = 900 + 2000 = Rs. 2900.We observe that,
SP > CP.
so, a gain is occured.
gain % = gain/CP * 100
gain = SP - CP
So,
gain% = (2950 - 2900)/2900 * 100
⟹ gain% = 50/29
⟹ gain% = 1.72 %
∴ A gain of 1.72% is occured in the whole transaction.
I hope it will help you.
Regards.
Answer:
HELLO SISO❤
IT'S ME YIREN
Step-by-step explanation:
→ CP of machine = (SP * 100) / (100 + Profit%) = (990 * 100) / (100 + 10) = (990 * 100) / 110 = Rs. 900 . Case 2) :- shopkeeper sells another machine for Rs. 1960 at a loss of 2%
this is number 1 I have 2 more question to this problem. I i really need this answer because I kidda failing class but if somebody help me it will make my day
Answer:
I think that's it :)
Step-by-step explanation:
cause 2.5 x 2 = 5
and then 3 x 2 = 6
5y-30=-5y+30 and also can you show the steps :}
5y-30=-5y+30
add 30 to both sides
5y = -5y+60
add 5y to both sides
10y = 60
divide both sides by 10
y = 6
hope this helps!
Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)
Solve the following equation for p. What POSITIVE value of p? 10 - 43 - |7p + 12|
Answer:
Subtract
43
from
10
.
−
33
−
|
7
p
+
12
|
Step-by-step explanation:
The positive value of p from the equation is; p = 3
This is about absolute values.
We are given the equation;10 = 43 - |7p + 12|
Let us simplify by subtracting 43 from both sides to leave the right hand side as an absolute value form.10 - 43 = - |7p + 12|
-33 = - |7p + 12|
divide both sides by -1 to get;
33 = |7p + 12|
please help, and it’s ok if you don’t understand it or get it wrong, please don’t feel guilty ^-^
Answer:
i think its 4.5
Step-by-step explanation:
Solve: −3(k − 2) = −2
Answer:8/3
Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3
Answer:
The answer is
[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]
Step-by-step explanation:
[tex]−3(k − 2) = −2 [/tex]
Expand the terms in the bracket
That's
[tex] - 3k + 6 = - 2[/tex]
Subtract 6 from both sides of the equation
We have
[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]
Divide both sides by - 3
[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]
We have the final answer as
[tex]k = \frac{8}{3} \\ [/tex]
Hope this helps you
Please please please please please help
Answer:
2.68
Step-by-step explanation:
EVALUATE
9(6−2.4)−10
Answer:
The answer is 22.4.
Answer:
22.4
Step-by-step explanation:
you multiply 6 and -2.4 by 9
that gives you 54 and -21.6
then you add -10 to -21.6 giving you -31.6
lastly subtract -31.6 out of 54
which gives you 22.4
The heights of six students Aaron, Betty, Carrie, Dan, Evelyn and Frank are 58 inches, 60 inches, 63 inches, 64 inches, 68 inches and 69 inches. Carrie is 4 inches shorter than Aaron. The girls (Betty, Carrie and Evelyn) are the three shortest students. Dan is one inch shorter than Frank. Betty is the shortest student. What is the sum of Frank’s height and Evelyn’s height, in inches?
Answer: 132
Step-by-step explanation: I think it is 132 because C + 4 = A, D + 1 = F, and B is shortest. so the order is FDAECB with Frank at 69 and Evelyn at 63. Carrie has to be at 60 because Aaron, who is 64, is 4 inches taller than Carrie. So, when you add 69 and 63 together, you get 132. Also just to check, Dan, who is 68, is one inch shorter than Frank, who is the tallest. This is only true because the girls are the youngest.
Answer:
132
Step-by-step explanation:
I did it on a Mathcounts competition
Write the linear equation in slope intercept form y-2=1/2(x+4)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
Point-slope form; y - 2 = 1/2(x + 4)
Step 2: Rewrite
Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4Answer:
y=1/2x+4
Step-by-step explanation:
y-2=1/2(x+4)
(distribute the 1/2)
y-2=1/2x+2
(add 2 to both sides)
y=1/2x+4