Answer:
345
Step-by-step explanation:
On adding 60 to 325 and then subtracting 40 the answer will be 345.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given numbers 60, 325, and 40. The expression will be formed as below:-
E = 60 + 325 - 40
E = 385 - 40
E = 345
Therefore, on adding 60 to 325 and then subtracting 40 the answer will be 345.
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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
#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
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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.
How to find Y intercept of the line passing through the points
Answer:
Y-intercept: (0, -3)
Step-by-step explanation:
Given the two points, (6, 5) and (3, 1):
We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.
SlopeWe must first solve for the slope of the line using the following formula:
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (3, 1)
(x₂, y₂) = (6, 5)
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]
Hence, the slope of the line is: [tex]\sf{m\:=\frac{4}{3}}[/tex] .
Y-intercept:Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).
In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:
y = mx + b
[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]
5 = 8 + b
Subtract 8 from both sides to isolate b:
5 - 8 = 8 - 8 + b
-3 = b
Therefore, the y-intercept is (0, -3), where b = -3.
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:
The 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
:
6 times 8 = ? times 6
6 * 8 = 48
6 • 8 = 48
6(8) = 48
48 * 6
= 288
Answer:288
Step-by-step explanation:
6×8=46 and
46×6=288
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 )
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:
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!
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 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
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%.
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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
help with these sum please it is math
Answer:
Step-by-step explanation:
24 ) Before, so -5 sec
25) after. So, + 5 sec
26) + 50 c
27) -50 c
28) - 1 min
29) + $ 50
30) - $ 5
31) +5
32) - 5
Answer number eleven and thirteen please
Answer:
Both are right trianglesStep-by-step explanation:
Use Pythagorean to decide
#11Sides 12, 16, 20
12² + 16² = 20²400 = 400Right triangle#13Sides 2.4, 4.5, 5.1
2.4² + 4.5² = 5.1²26.01 = 26.01Right triangleThe 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
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.
SOMEONE PLEASE HELP IM FAILING HS
2-20. Evaluate each expression for x=-2 and y=-5.
a. 1-2x + 3y
b. -|x-y|
c. √x^2 + ^3√x^3
d. 1/2x+1/3y
Answer:
a. 1-2(-2) + 3(-5) = 1-4 -15 = -18
b. -|-2--5| = |3| = -3
d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3
Hope it works
what multiples to -36 but adds to 16
Answer:
answer in the link below
mathhelp.mhlp
Step-by-step explanation:
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.
1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
Step-by-step explanation:
perimeter=2(l+b)
check the picture for more clarification
When surrounded by smaller circles, a center circle will appear ________ than if surrounded by larger circles.
When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.
PerceptionPerception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.
Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.
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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
What numbers could be at each letter?
A=
B=
C=
D=
E=
Answer:
A= 1
B= 2
C = 3
D = 4
E = 5
And so on going on for the 26 letters. But no clue since you said "could"
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)☺️)
I need help I’m really bad at math but the photo thing is not working
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.
Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).
Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:
Answer:
[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.
[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]
At this point we have everything, let's replace and write down the line in a better looking form
[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]