Answer:
5 years
Step-by-step explanation:
A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?
Answer:
15
Step-by-step explanation:
The conditions for triangle side lengths are:
A + B > C
A + C > B
B + C > A
The reverse is true too, of course:
A < B + C
B < A + C
C < A + B
Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )
With those in mind, if 15 and 1 are A and B:
15 + 1 > C
15 + C > 1
1 + C > 15
And those can be simplified to these:
C < 16
C > -14 ( can be ignored because of the next one)
C > 14
And finally:
14 < C < 16
The largest whole number that fits those requirements is 15.
I need help I’m really bad at math but the photo thing is not working
#16 i
MODELING REAL LIFE A public university charged $9200 for tuition and fees in the 2014-2015 academic year. This cost
increased at a constant rate and reached $10,900 in the 2019-2020 academic year. Estimate the cost of tuition and fees in the
2023-2024 academic year.
The tuition is an illustration of a linear function.
The cost of tuition and fees in the academic year 2023-2024, is $12260
Let the number of academic years after 2014-2015 academic year be x.
So, we have:
[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]
A linear function is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)
So, we have:
[tex]\mathbf{10900 = 5m + 9200}[/tex]
Subtract 9200 from both sides
[tex]\mathbf{1700 = 5m}[/tex]
Divide both sides by 5
[tex]\mathbf{340 = m}[/tex]
So, we have:
[tex]\mathbf{m =340 }[/tex]
The function becomes
[tex]\mathbf{y = mx + b}[/tex]
[tex]\mathbf{y = 340x + 9200}[/tex]
In the academic year 2023-2024, x = 9.
So, we have:
[tex]\mathbf{y = 340x + 9200}[/tex]
[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]
[tex]\mathbf{y = 3060 + 9200}[/tex]
[tex]\mathbf{y = 12260}[/tex]
Hence, the cost of tuition and fees is $12260
Read more about linear functions a:
https://brainly.com/question/21107621
what are the reasons?
Answer:
Step-by-step explanation:
1. ∠WVX , ∠YZX are right angled triangles 1.Given
2. WV ≅ YZ 2. Given
3. X is the midpoint of WY 3. Given
4. WX ≅ YX 4. definition of midpoint
5. ΔWVX ≅ ΔYZX 5. RH congruent
x-3y=-14
x-y=-2
substution method
Answer:
(4, 6 )
Step-by-step explanation:
x - 3y = - 14 ( add 3y to both sides )
x = - 14 + 3y → (1)
x - y = - 2 → (2)
Substitute x = - 14 + 3y into (2)
- 14 + 3y - y = - 2
- 14 + 2y = - 2 ( add 14 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
Substitute y = 6 into (1)
x = - 14 + 3(6) = - 14 + 18 = 4
solution is (4, 6 )
Evaluate 1/5 of 175 please
Answer:
35
Step-by-step explanation:
1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.
[tex]\frac{1}{5}*175[/tex] [tex]\frac{175}{5}}[/tex] [tex]35[/tex]Therefore, the answer is 35.
the total surface area of an cube is 294cm2 work out the volume of the cube
Answer:
343 cm³
Step-by-step explanation:
V = 343 cm³
Surface A = 294 cm²
find vertex and min/max !! HELP ASAP!!
y=-2(x+9)(x+3)
Answer:
max at (- 6, 18 )
Step-by-step explanation:
Given the equation of a parabola in intercept form
y = a(x + c)(x + d)
• If a > 0 then min vertex
• If a < 0 then max vertex
y = - 2(x + 9)(x + 3) ← is in intercept form
with a = - 2 < 0 then max vertex
y = - 2(x + 9)(x + 3) ← expand factors using FOIL
= - 2(x² + 12x + 27) ← distribute parenthesis by - 2
y = - 2x² - 24x - 54 ← in standard form
with a = - 2 and b = - 24
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-24}{-4}[/tex] = - 6
Substitute x = - 6 into the equation and evaluate for y
y = - 2(- 6 + 9)(- 6 + 3) = - 2(3)(- 3) = 18
vertex = (- 6, 18 ) and is a max
4/9 plus -6/9
PLS I NEED HELP ASAP
Answer:
-2/9
Step-by-step explanation:
Since the denominators are the same, we can combine like terms
4/9 + (-6/9)
-2/9
[tex] \: \: \: \: \: \: [/tex]
[tex] = - \frac{2}{9} [/tex]
Step-by-step explanation:
[tex] \frac{4}{9} + \frac{ - 6}{9} [/tex]
write all numerators above the common denominator[tex] \frac{4 - 6}{9} [/tex]
calculate the difference[tex] \frac{ - 2}{9} [/tex]
[tex]use \: \: \frac{ - a}{b } = \frac{a}{b} = - \frac{a}{b} \: \: \: \: to \: \: rewrite \: \: the \: \: fraction[/tex]
[tex] = - \frac{2}{9} \\ \\ or \: \: in \: \: alternate \: form \\ \\ - 0.2[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
The height of an experimental plant after x days can berepresented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height? Explain.
Answer: No
Step-by-step explanation:
The question is whether 3(4x+2) could ever equal 6(2x+2). So let's set them equal to each other and find if there is a value of x, the days, where they are equal.
3(4x+2) = 6(2x+2)
12x + 6 = 12x+2
6 = 12?? No
They will bnever be at the same height. They are growing at the same rate (12x) but starting at different heights (6 and 12)
what multiples to -36 but adds to 16
Answer:
answer in the link below
mathhelp.mhlp
Step-by-step explanation:
Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.
Answer:
Above is the step-by-step solution
[tex]\\ \sf\longmapsto p\propto q [/tex]
[tex]\\ \sf\longmapsto p=kq[/tex]
Divide both sides by q[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]
Now
[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]
Substitute√q[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]
Substitute q=p/k[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]
Done
1/8+3/4= ______________
Answer:
7/8
you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8
Answer:
The answer is 7/8.
Step-by-step explanation:
First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.
Wednesday
A small package of 12 pencils costs $2.04. A large package of 60 pencils costs $9.60. Which is a
better deal? How do you know?
You can use a calculator but you must show your work and explain your thinking.
Answer:
60 pencil
Step-by-step explanation:
60 divided by 12 is 5
5 times $2.04= 10.2
so if you buy the 12 pack you would be spending more money!
let's find out the principle in the following cases also calculate the amount.
a) I = RS 336, T = 2 years, R = 10•5% per year
please give me answer
I need it fast as possible
Step-by-step explanation:
I = 336
T = 2
R = 10.5 = 10½ = 21/2
I = PRT/100
336 = (2 x 21 x P)/(100 x 2)
336 = 21P/100
21P = 33600
P= 33600/21
P=1600
Amount = 1600 + 336 = 1936
Question involving derivatives and limits...
What is the limit as x approaches 2 of (3 f(x) - 15) / (x-2)... where f(2) is 5. The answer is not 0, I checked.
the derivative f'(2) is 1/8 in case that's needed
it can be either 3/8, , 3.545, or 3/2
Answer:
undefined
Step-by-step explanation:
After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5?
Answer:
After substituting We multiply 5 with 9.
Step-by-step explanation:
Given Expression 5 + ( 9x - 3 ) ÷ 2
5 + ( 9 × 5 - 3 ) ÷ 2
5 + ( 45 - 3 ) ÷ 2
5 + ( 42 ) ÷ 2
5 + 21
26
Evaluate or Simplify: (5^2 × 6^2/(30)^4)^3
Step-by-step explanation:
Given that:
[{5² × 6²}/{(30)⁴}]³
⇛[{5² × 6²}/{(5 × 6)⁴}]³
⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]
⇛[{5²/5⁴} × {6² × 6⁴}]³
⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]
⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]
⇛[(5×6)^-2]³
⇛[30^-2]³
⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]
⇛30^-6. [∵(a^-ⁿ = 1/a^n]
⇛1/(30)⁶ ≈ 72 90 00 000 Ans.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
Andrew measured a line to be 11 inches long. If the actual length of the line is 11.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
3.5
Step-by-step explanation:
Error=11.4-11=0.4
Percentage error = (0.4/11.4) × 100 = 3.5 to the nearest tenth
The percent error in estimate is 3.5%
What is error?In practical mathematics, error is the distinction between a true value and an approximation, or approximate, representation of that value. A common example in statistics is the difference between the mean of the entire population and the mean of a sample picked from that population. An example of a round-off error in numerical analysis is the difference between an irrational number's actual value and the value of rational expressions.
Given
measured value = 11 inches
actual value = 11.4 inches
percent error = ((actual value - Estimate value)/actual value)100
percent error = ((11.4 - 11)/11.4)100
percent error = 0.03508 x 100
percent error = 3.508% = 3.5%
Hence the percent error is 3.5%.
Learn more about error;
brainly.com/question/19575648
#SPJ5
Matilda and Nancy are miles apart, bicycling toward each other on the same road. Matilda rides miles per hour and Nancy rides at miles per hour. In how many hours will they meet
Answer:
it will take 3 hours For them to cover 60 miles and meet
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
3/4 + 1/2 + 1/3 sum to infinity
Answer:
18/12
Step-by-step explanation:
Answer:
5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back
Step-by-step explanation:
PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS
Answer:
1.the first one is the distance from home
2. is 91
3.increases by 91 i belive tht should be correct
Step-by-step explanation:
three friends are playing a card game. to start each player draws four cards. the player with the largest sum goes first. which player goes first?
Deena:
6, -9, 7, -5
Cory:
5, 3, 0, -6
Malcom:
11, -12, -3, 4
Answer:
cory
Step-by-step explanation:
brainliest plz!!! :) have a good day
There was a sample of 350 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 7.3% each year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .
Answer:
y = 350*0.927^tStep-by-step explanation:
Initial amount = 350 mgDecay = 7.3% per year or 0.073Time = t yearsFinal mass = yThe equation:
y = 350*(1 - 0.073)^t = 350*0.927^tThe credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 31 minutes of calls is $20.97, and the remaining credit after 50 minutes of calls is $18.50. What is the remaining credit after 54 minutes of calls?
Answer:
The credit remaining on a phone card (in dollars) is a linear function of the
total calling time made with the card (in minutes), as shown in the figure below.
The remaining credit after 45 minutes of calls is $22.80 , and the remaining
credit after 64 minutes of calls is $19.76.
Step-by-step explanation:
What is the remaining credit after 73 minutes of calls?
;
Not sure what figure you are referring to, write an equation from the given values:
Assign the values as follows
x1 = 45; y1 = 22.80
x2 = 64; y2 = 19.76
:
Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29
m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29
m = -.16
:
SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT IM SO CONFUSED!!!! ):
Answer:
you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:
Jess had 212 deer stickers. Jess gave 47 stickers to Sandy and 24 stickers to Mike. How many stickers does Jess still have?
Answer:
141 stickers
Step-by-step explanation:
212-47=165
165-24= 141 stickers
Compare î and by converting each fraction to a decimal. Which is larger? 3 O A. î (or 0.27) is the larger number. OB. (or 0.2727...) is the larger number. 11 C. 3 12 (or 0.312) is the larger number. O D. (or 0.25) is the larger number.
Answer:
A
Step-by-step explanation:
Hope it can help you lovelots
Answer: B. 3/11 (or 2.2727...) is the larger number.
The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle?
length=22m
breadth=14.67
x^2-4x+11
In the form a(x+h)^2+k
Answer: im very sorry
Step-by-step explanation: