Answer:
[tex]A = \frac{1}{2} \pi r [/tex]
multiply all sides by 2:
[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]
divide all sides by r:
[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]
therefore:
[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]
Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?
Answer:
y = c1 e^-x + c2 e^(3x)
Step-by-step explanation:
Review linear DE's
(D-3)(D+1)y = 0
Evaluate the variable expression x + y for the given values of x and y. x = 38,221; y = 51,671
Answer:
89,892
Step-by-step explanation:
[tex]x+y[/tex]
[tex](38,221)+(51,671)[/tex]
[tex]89,892[/tex]
Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.
Step-by-step explanation:
the slope that is PARALLEL to the equation of the line y = -1/2x+6 is -1/2.
and the slope that is PERPENDICULAR to the equation of the line y = -1/2x+6 is :
-1 ÷ -½ = 2
Sets question with option answers. Help please
Answer:
best bet is 6
Step-by-step explanation:
Elementary algebra 1/4 divided by 3 equals
Answer:
1/12
Step-by-step explanation:
multiply by three so 4x3 is 12 and that's 3 equal parts
There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number line to help you.
Answer:
1/3÷5
=1/3×1/5
=1/15
each child receive 1/15 of cake
what is the slope of the line
Answer:
i think zero but i suck at slope
Step-by-step explanation:
pew pew
One more big help you guys
Answer:
[tex]\frac{1}{5^{7} }[/tex]
342,475 plus 71,925
Thank you
Answer:
414,400
Step-by-step explanation:
[tex]342.475 + 71.925[/tex]
[tex] = 414.400[/tex]
6. Find the areas of the rectangles with the following side lengths.
C.
a. 5 in and 1/3 in
9514 1404 393
Answer:
5/3 in²
Step-by-step explanation:
The area of a rectangle is the product of length and width.
A = LW
A = (5 in)(1/3 in) = 5/3 in² = 1 2/3 square inches
Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).
In slope intercept form
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~
m = - [tex]\frac{1}{2}[/tex]
( - 10, 1 )
y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]
y - 1 = - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)
y = - [tex]\frac{1}{2}[/tex] x - 4
Where does the graph of the line y = x − 2 intersect the x-axis
(0,2) is your answer
Explanation
Evaluate (y - 9) + (3 + x), when y = 15 and x = 5
Hi ;-)
[tex]y=15 \ and \ x=5\\\\(y-9)+(3+x)=(15-9)+(3+5)=6+8=\boxed{14}[/tex]
Answer:
14
Step-by-step explanation:
(y-9)+(3+x)
(15-9)+(3+5)
6+8
14
pls say hard very hard
Answer:
6
Step-by-step explanation:
The Volume is 4×6×9, which is 216
∛216
The cube root is 6.
I hope this helps!
pls ❤ and mark brainliest pls!
Suppose Sofia is considering a 5-year loan for $6,000 at an interest rate of 7%. Use the table to complete the statements. Type the correct answer in each box. Round your answer to the nearest cent. Monthly Payment per $1,000 of Principal Rate 1 Year 2 Years 3 Years 4 Years 5 Years 6.5% $86.30 $44.55 $30.65 $23.71 $19.57 7.0% $86.53 $44.77 $30.88 $23.95 $19.80 7.5% $86.76 $45.00 $31.11 $24.18 $20.04 8.0% $86.99 $45.23 $31.34 $24.41 $20.28 8.5% $87.22 $45.46 $24.65 $24.65 $20.52 9.096 $87.45 $45.68 $31.80 $24.89 $20.76 Sofia's monthly payment would be $118.80 The total number of monthly payments that Sofia would make over the life of the loan is 60 finance charge on her loan would be $1,128.00
a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.
b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.
c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.
How is monthly payment calculated?The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.
Data and Calculations:Loan amount = $6,000
Maturity period = 5 years
Interest rate = 7%
N (# of periods) = 60 months (5 years x 12)
Results:
Monthly Payment = $118.81 ($34.02 + $84.79)
Mortgage Payment = $7,128.60 ($118.81 x 60)
Total of 60 Mortgage Payments $7,128.60
Total Interest = $1,128.60 ($7,128.60 - $6,000)
Monthly Amortization Schedule (for the first 3 months)Date Beginning Balance Interest Principal Ending
Repayment Balance
1 3/2022 $6,000.00 $35.00 $83.81 $5,916.19
2 4/2022 $5,916.19 $34.51 $84.30 $5,831.90
3 5/2022 $5,831.90 $34.02 $84.79 $5,747.11
Learn more about calculating monthly payments at https://brainly.com/question/24576997
Answer:
The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.
So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.
A 5-year loan will have 60 monthly payments since 5 × 12 = 60.
Multiply the monthly payment by 60 months to get the total amount paid on the loan:
$118.80 × 60 = $7,128.
To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:
$7,128 − $6,000 = $1,128.
Step-by-step explanation:
The sum of the first 20 terms of an arithmetic is 50, and the sum of the next 20 terms is -50. Find the is first term and command difference of the sequence?
Answer:
[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]
Step-by-step explanation:
1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;
2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;
for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.
3) if to solve the system of two equations, then:
[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]
4) finally: the first term is '39/8', the difference is '-1/4'.
PLASEEEEEEEEEEEE HLEPPPPPPPPPPPPP
Answer:
1. the smiley face, the top right corner.
2. top left corner again
3. rotation i think...
4. e looks like the answer not sure.
Step-by-step explanation:
ez... maybe
Answer:
1st page-1
2nd page-b on the second line
3rd-b
4th-a
5th-c
Step-by-step explanation:
Can any one solve it.Please
It's false. Consider f(x) = 1/x. This function is both continuous and decreasing on [1, ∞), and has a limit of 0 as x approaches infinity. But the integral diverges.
Find the equation of the line that is parallel to y = 2x - 3 and passes through the
point (0,7).
Answer: [tex]y=2x+7[/tex]
Step-by-step explanation:
Let's introduce couple variables [tex]m_{1}[/tex] (slope of your equation) and [tex]m_{2}[/tex] (slope of the equation we need to find.
Parallel lines have the same slope, therefore: [tex]m_{1} = m_{2}[/tex], where [tex]m_{1}=2[/tex] and this means that [tex]m_{2} = 2[/tex] as well.
Given that we will use point-slope equation form with the point (0,7):
[tex]y-y_{1} =m(x-x_{1} )\\[/tex] where [tex](x_{1}, y_{1} )[/tex] is the point
Let's substitute:
[tex]y-7=2(x-0)\\[/tex]
And calculate:
[tex]y-7=2x\\[/tex]
Now we just need to isolate [tex]y[/tex] by subtracting 7 from both sides:
[tex]y=2x+7\\[/tex]
That's it!
Here's the graph to show the results:
Samuel reads 19 pages per hour. In all, how many hours of reading how many hours of reading will Samue l have to do this week in order to have read a total of 38 pages?
Answer:
Just 2 hours
Step-by-step explanation:
Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours
What is 888 x - 666?
What is 888 x - 666? = -591408
[tex]Hello[/tex] [tex]There![/tex]
Ummmmm... I could be wrong?
I think it is...
-591408
Hopefully, this helps you!!
[tex]AnimeVines[/tex]
Evaluate the expression when x=25 and y = – 4.
VX y
S!
y
у
y
(Type an integer or a simplified fraction.)
(SOMEONE PLEASE ANSWER TIMED TEST)
Answer:
answer is xy
Step-by-step explanation:
✓x-y=xy
y x=xy
Please let me know fast
Answer:
b) 0
Step-by-step explanation:
[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]
solve for x,
7x+14÷3 - 17-3x ÷5=6x - 4x+2÷3-5
Answer: x = 4
Step-by-step explanation:
Given equation
7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5
Combine like terms on both sides
(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5
4x + 14/3 - 17 = 2x + 2/3 - 5
Subtract 2/3 on both sides
4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3
4x + 12/3 - 17 = 2x - 5
4x + 4 - 17 = 2x - 5
4x - 13 = 2x - 5
Add 13 on both sides
4x - 13 + 13 = 2x - 5 + 13
4x = 2x + 8
Subtract 2x on both sides
4x - 2x = 2x + 8 - 2x
2x = 8
Divide 2 on both sides
2x / 2 = 8 / 2
[tex]\boxed{x=4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
the four vertices of a parallelogram are (3,2) (6,3) (9,6) and (a,B) find a and b
Answer:
(15,8)
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.Francisco wrote these notes on one of the scientists who contributed to cell theory:
1838
Studied plants
Used a microscope
Concluded that plants are made of cells
Who are these notes about?
Virchow
Schleiden
Leeuwenhoek
Schwann
Answer:
Schleiden in 1838 said plants are made cells
Step-b
MN has endpoints at M(2,5) and
N(-4, 3). In what quadrant is the midpoint
of MN?
A Quadrant |
B Quadrant II
C Quadrant IIl
Answer:
quad 2
Step-by-step explanation:
Midpoint = (x1 + x2)/2,(y1 + y2)/2
x1 = 2
x2 = - 4
y1 = 5
y2 = 3
midpoint = (2 - 4)/2,(5 + 3)/2
midpoint = -2/2, 8/2
midpoint = -1,4
-1 for x puts you in quad 2 or 3
4 for y puts you in quad 2 because you are going up.
The final answer is in quad 2
Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6)
Answer:
5/6
Step-by-step explanation:
(6-1)/(2- -4) --> 5/6
Answer: Slope = 5/6
Concept:
Here, we need to know the idea of a slope.
A slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = (y₂ - y₁) / (x₂ - x₁)
Solve:
Given information
(x₁, y₁) = (-4, 1)
(x₂, y₂) = (2, 6)
Given equation
Slope = (y₂ - y₁) / (x₂ - x₁)
Substitute values into the equation
Slope = (6 - 1) / (2 - (-4))
Simplify values in parentheses
REMEMBER to change signs whenever a [+, -] meets [-] sign
Slope = 5 / (2 + 4)
Slope = 5/6
Hope this helps!! :)
Please let me know if you have any questions
Given that the equation of a straight line is 2y - 3x + 6 = 0,
(a) Express the equation of the straight line in the form of y = mx + c
(b) Write down the y-intercept (C) of the equation
Step-by-step explanation:
Hi there!
Given;
The equation of straight line is 2y-3x+6 = 0.
a. Express in the form of y = mx + c.
2y-3x+6 = 0
2y = 3x-6
y = (3x-6)/2
y = (3/2)X - 3
Therefore, the required equation is : y = (3/2)x-3.
b.
The y-intercept of the equation is -3.
Hope it helps!
Choose the best description of the associative property of addition.
O A. The smaller of two addends is called an associated number.
OB. The way in which numbers are grouped to be added does not change the sum.
O c. If one of two numbers is 1 more than the second number, the numbers are called associated numbers.
OD. When zero is added to a number, the sum is that number.
Answer:
B. The way in which numbers are grouped to be added does not change the sum.