Answer:
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
Answer:
The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time.
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
A. y - 1 = -4 (x + 2)
B. y - 4 = -2 (x - 1)
C. y - 1 = 4 (x - 2)
D. y - 2 = -4 (x - 1)
Answer:
A y - 1 = -4(x + 2)
Step-by-step explanation:
point-slope form: [tex]y - y_{1} = m(x -x_{1} )[/tex]
y - 1 = -4(x -(-2) )
y - 1 = -4(x + 2)
HELP I WILL GIVE BRAINLEST
Answer:
the answer is A
Step-by-step explanation:
Sin is for a and in this picture a is y
Solve for x.
0.6x = 4.8
Enter your answer in the box.
x =
Answer:
x= 8
What I Did:
First I turned them into whole number so I turned 0.6 into 6 and 4.8 into 48
Then I divided 48 by 6 which was 8
You can also add 0.6 as many times until you get to 4.8 but then you're just wasting time.
Answer: x = 8
Step-by-step explanation:
Which of the ratios below has a unit rate of 5? Select all that apply. A) 10:5 B) 4:16 C) 15:3 D) 25:5 E) 40:8
Answer:
C D E
Step-by-step explanation:
15:3=5
25:5=5
40:8=5
What is the result of adding these two equations?
5x - y = 6
-2x + y = 8
Answer:
3x = 14
Step-by-step explanation:
Given the two linear equations, 5x - y = 6 and -2x + y = 8:
We can add both equations the same way we add integers. The only difference is that we add the terms with the same variables.
5x - y = 6
+ -2x + y = 8
3x + 0y = 14 or 3x = 14
Therefore, the sum is 3x = 14.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
Step-by-step explanation:
y - 4 = -2(x - 6) It might be easier to do if we removed the brackets and collect like terms.
y - 4 = -2x + 12 Add 4 to both sides
y = - 2x + 4 + 12 Combine
y = - 2x + 16
It's not one because -6*-2 + 16 = 28 for y.
It's B
y = -2 * 6 + 16
y = - 12 + 16
y = 4
(6,4) is the answer.
c: doesn't appear to be right. Any minus sign is going to make the number in front of x + which only adds to 16 making bigger.
d: -2*4 + 16 = - 8 + 16 = 8 which is incorrect. The answer should by 6 not 8
James is following this recipe to make flapjacks.
James uses 330 mL of syrup.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
100 g sugar
110 mL syrup
220 g oats
165 g margarine
30 g sultanas
Answer:
24 flapjacks
Step-by-step explanation:
330 / 110 = 3
8 *3 = 24
The area of a triangle is 30 cm and its base
is 10 cm. What is the perpendicular height,
in cm, of the triangle?
Step-by-step explanation:
area of triangle,=1/2*base*height
30=1/2*10/h
h=6cm
Answer: Height=6cm
Step-by-step explanation:
Area of triangle =30cm²
Base=10cm
Height=?
Area=1/2*base*height
30=1/2*10*height
Height=30*2/10
Height=6cm
Helppppppppppppppp meee
Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
O Quadrant l or Quadrant IV
O Quadrant III or Quadrant IV
O Quadrant II or Quadrant IV
O Quadrant lor Quadrant II
Answer:
Quadrant III or Quadrant IVStep-by-step explanation:
i Hope it's helpful for you
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 reciprocal of 4 is
the answer of ur question is 0.25
What is 564.2+3.006-1.6?
Answer:
565.606, is shown step by step in the picture
Help me solve this-> g(x) = 2x + 3
g(7) =
Answer:
17
Step-by-step explanation:
it's sufficient to set x=7
g(7)=2×7+3=14+3=17
Answer:
g(7)=2.7+3=17
what is the value x in following sequences 3,12,x,48,75,...
Answer:
30
Step-by-step explanation:
12-3= 9
75-48= 27
This is quadratic because it is like saying what is in between 9 and 27.
So the pattern is 9, 18, 27
so 12-3= 9
30-12= 18
48-30= Also 18
75-48= 27
Hope this helped :)
I NEED A ANSWER ASAP!!
A dog park is 100 yards long and the town wants to install water bowls for their beloved pups. If the town wants a water bowl at each end and every 20 yards i
between, how many water bowls need to be installed?
Answer:
5
Step-by-step explanation:
5*20=100
8.
What is the distance between the two points?
(-5,7)
(7,2)
Answer:
13
Step-by-step explanation:
Use the distance formula to solve for the distance between two points.
[tex]d=\sqrt{(x2-x1)^2 + (y2-y1)^2[/tex]
Plug in your coordinate points.
[tex]d=\sqrt{(7-(-5))^2 + (2-7)^2[/tex]
[tex]d=\sqrt{(12)^2 + (-5)^2[/tex]
[tex]d=\sqrt{144 + 25[/tex]
[tex]d=\sqrt{169[/tex]
d= 13
Pls solve this I don't get it
help me plz math is hard
help with my math plz
Answer:
Step-by-step explanation:
The side is S= 5 cm , and the area is A= S² = 5²= 25
If the side would be doubled will be S= 5*2 = 10 cm, and the area A= 10²=100
Compare the area of S=5 to area of S=10 , 100 = 4*25
Conclusion:
If we double the side the area is 4 times greater.
Select the correct answer. You’re laying a new kitchen floor with square tiles that are one yard by one yard. Your rectangular kitchen is 24 feet by 33 feet, and each tile costs $54. You determine that the tiles will cost you $3,960. If you made a mistake in your pricing estimate, what most likely occurred?
A. You determined the number of tiles was 19 instead of 88.
B. You multiplied the number of tiles by $45 instead of $54.
C. You calculated the dimensions of your kitchen to be 3 yards by 4 yards instead of 8 yards by 11 yards.
D. No mistake was made.
Answer: Your estimate is wrong, and it should be $4,752
Step-by-step explanation:
We are given that:
Size of tile = 1yard by 1yard
Let convert yard to feet, so as to find the covered by the tile in feet.
Since 1yard = 3feet
Size of tile = 3feet by 3feet
Area cover by tile = 3x3 = 9ft²
Size of kitchen floor = 24ft by 33ft
Area covered by floor = 24 x 33 = 792ft²
Total number of tile needed for the kitchen floor = Area of kitchen/Area of tiles
= 792/9
= 88 tiles
Given that each tile cost $54
Total cost of 88 tiles = 54 x 88 = $4752
Therefore the answer is
B. Your estimate is wrong, and it should be $4,752
True or false: Least squares regression problems always have a unique solution, since they are modelled by the normal equation
Answer: (((trueeee))))
Since the least squares problem always has a unique solution. Therefore, the given statement is true.
The given statement is "Least squares regression problems always have a unique solution since they are modelled by the normal equation".
Do least squares always have a unique solution?The least squares problem always has a solution. The solution is unique if and only if A has linearly independent columns. S equals Span(A) := {Ax : x ∈ Rn}, the column space of A, and x = b.
Therefore, the given statement is true.
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PLEASE HELP ME OUT! Thank you!
Complete the two-column proof using the answers in the bank.
Given: Point B is the midpoint of DC and EA Prove: ∆BDE ≅∆BCA
Answer Bank:
Definition of a midpoint
EB ≅ AB
Given
Point B is the midpoint of DC and EA
Side-Angle-Side (SAS)
Vertical Angle Theorem
FILL THE BLANKS
Statement Reason
1.__________ 1. Given
2. DB ≅ CB 2._________
3.________ 3. Definition of a midpoint
4. ∠EBD ≅ ∠ABC 4.__________
5. ∆BDE ≅∆BCA 5._________
Answer:
Step-by-step explanation:
1. B is midpoint of DC and EA 1. Given
2. DB ≅ CB 2. Definition of midpoint
3. EB ≅ BA 3. Definition of midpoint
4. ∠EBD ≅ ∠ABC 4. Vertically opposite angles
5. ΔBDE ≅ ΔBCA 5. S A S congruent
This is a multi-part question you will refer back to this and other finished parts to help answer this and future questions
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following Johnny was asked how long it will take the population to reach 1/2 of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a
Johnny was asked how long it will take the population to reach
complete sentence) Please help.
The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.
The given parameters are:
[tex]\mathbf{a =10000}[/tex] --- the initial population
[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate
Population are always modelled using exponential function.
This is represented as:
[tex]\mathbf{y = a(1 - r)^x}[/tex]
Where y represents the population in x years.
So, we have:
[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]
[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]
[tex]\mathbf{y = 10000(0.997)^x}[/tex]
When the population reaches half, then y = 5000.
So, we have:
[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = 0.997^x}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]
Apply law of logarithm
[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]
Make x the subject
[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]
[tex]\mathbf{x = 230.7}[/tex]
This means that the population will become half the original population in 230.7 years.
The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.
Read more about exponential function at:
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A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?
The building is meters tall.
Answer: The building is 35 meters tall.
Step-by-step explanation:
420 divided by 24 is 17.5
17.5 x 2 is 35
(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)
pls help ill give brainliest lolz
Answer:
t =5
Step-by-step explanation:
-7(2-t)=21
-14+7t=21
7t=35
t=5
solve pls brainliest
Answer:2 3/4 for mixed 11/4 for improper
Step-by-step explanation:
Anna has £10 savings, Ben has £3.
Each week, Anna saves £2.50 and Ben saves £3.
How many weeks will it take for Anna and Ben's
savings to be in the ratio 5:4?
Answer:
6
weeks
Step-by-step explanation:
To join the speech and debate club, there is a $28.90 initial fee and a $2.20 yearly fee. Write an equation in slope-intercept form where x represents the number of years enrolled in the club, and y represents the total amount of fees paid.
The equation that represents the total cost of the club will be y = 2.20x + 28.90.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
To join the discourse and discussion club, there is a $28.90 beginning charge and a $2.20 yearly expense.
Let 'x' be the number of years and 'y' be the total cost. Then the equation is given as,
y = 2.20x + 28.90
Where the number 2.20 represents the slope and the number 28.90 represents the y-intercept of the line.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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