Answer:
20 m
Step-by-step explanation:
1/50 = 40/x
Cross multiply.
1 × x = 50 × 40
x = 2000
2000 cm × (1 m)/(100 cm) = 20 m
Answer: 20 m
Which expression is NOT equal to 729?
3 × 3 × 3 × 3 × 3 × 3
63
9 × 9 × 9
36
Answer:
6^3
Step-by-step explanation:
3 × 3 × 3 × 3 × 3 × 3=729
6^3=216
3 × 3 × 3 × 3 × 3 × 3=729
3^6=729
Hope this helps :)
3 × 3 × 3 × 3 × 3 × 3
63
9 × 9 × 9
36
y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence relation that the coefficients must satisfy
Let
[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots[/tex]
Differentiating twice gives
[tex]\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots[/tex]
[tex]\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n[/tex]
When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.
Substitute these into the given differential equation:
[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0[/tex]
Then the coefficients in the power series solution are governed by the recurrence relation,
[tex]\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}[/tex]
Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.
• If n is even, then n = 2k for some integer k ≥ 0. Then
[tex]k=0 \implies n=0 \implies a_0 = a_0[/tex]
[tex]k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}[/tex]
[tex]k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}[/tex]
[tex]k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]
It should be easy enough to see that
[tex]a_{n=2k} = \dfrac{a_0}{(2k)!}[/tex]
• If n is odd, then n = 2k + 1 for some k ≥ 0. Then
[tex]k = 0 \implies n=1 \implies a_1 = a_1[/tex]
[tex]k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}[/tex]
[tex]k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}[/tex]
[tex]k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}[/tex]
so that
[tex]a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}[/tex]
So, the overall series solution is
[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)[/tex]
[tex]\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}[/tex]
answer this question fast
Answer:
0.09
Step-by-step explanation:
How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 80% antifreeze? Use the six-step method.
Abcd is a parallelogram determine the length of BE
A)51 units
B)102 units
C)96 units
D) -11 units
Answer:
B) 102 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. This means ...
BE = ED
3 -9x = -8x +14
-11 = x . . . . . . . . . . . . add 9x -14
BE = 3 -9x = 3 -9(-11) = 3 +99
BE = 102 units
1.What is m + 5n where m = 1 and n = 5?
A. 26
B. 52
C. 25
D. 62
ANSWER:____
2.What is 5m + 5n where m = 10 and n = -5?
A. 25
B. 26
C 62
D. 52
ANSWER:____
ADD EXPLANATION IF NECESSARY :)
Answer:
Answer# 1: A. 26
Answer# 2: A. 25
Step-by-step explanation:1. What is m + 5n where m = 1 and n = 5?
Substitute 1 for "m" and 5 for "n":
[tex]\sf (1)+5(5)[/tex]
Multiply 5*5 =25
[tex](1)+25[/tex]
Add :
[tex]\sf 26[/tex]
____________________
2. What is 5m + 5n where m = 10 and n = -5?
Substitute 10 for "m" and -5 for "n".
[tex]\sf 5\left(10\right)\:+\:5\left(-5\right)[/tex]
Multiply 5 * 10= 50
[tex]\sf 50+5\left(-5\right)[/tex]
Multiply 5 * -5 = -25
[tex]\sf 50-25[/tex]
Subtract:
[tex]\sf 25[/tex]
___________________________________
Determine which of the following graphs does not represent a function.
Determine which of the following graphs does not represent a function.
Answer: The graph I have attached an image of does not represent a function.
Step-by-step explanation:
This is because if we take the vertical line test, which is to draw a vertical line through any point of the x-axis. If the line passes through two points when it is vertical, the line doesn't represnt
a function.
Answer:
The correct answer goes from the 1st quadrant to the 4th quadrant.
Step-by-step explanation:
~Hope this helps!
Bạn dự định đi học thêm vào mùa hè này. Nếu đi học bạn sẽ không thể đi làm với thu nhập là 5 triệu đồng và không thể ở nhà nghỉ ngơi. Học phí là 2 triệu, tiền mua giáo trình 300 ngàn, sinh hoạt phí là 1.5 triệu. Hãy xác định chi phí cơ hội của việc đi học thêm vào mùa hè này.
Answer:
4 better inbox
Step-by-step explanation:
I got brainly for my kid , it’s on my phone and she is on my family share How can she use it on her phone?
Answer:
The only way she was able to use it if she knew your email and linked you to the account or she had some sort of permissions to get brainly on her device.
Which expression represents the number of thirds in 1
Answer:
A third is written as ¹/₃
Step-by-step explanation:
The way to understand this is the number on the bottom is the number of pieces being divided into;
So ¹/₃ is 1 whole divided into 3 parts;
So, you need 3 ¹/₃ parts to make a whole
[tex]a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1[/tex]
-2 (x+5) = 4
use the distributive property to solve the equation
What is the slope of the function?
O-6
O 4
O 4
O 6
Answer:
12/2 = 6
Step-by-step explanation:
2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1
answer:
Step-by-step explanation:
I hope she is correct answer
Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
HEEELPPP ASAP PLEASE
Answer:
49 round beds
Step-by-step explanation:
60 beds in total= 11 not round beds +?
-11 not round beds=--11 not round beds=?
49 round beds=49 round beds
That's the best way I could explain it.
In a certain game, there are only two ways to score points; one way is worth 3 points, and the other is worth 5 points. If Tamsin's total score is 61, which of the following could be the number of 3-point scores that Tamsin had?
Answer:
20 three-point scores
61/3=20 R1
Answer:
7
Step-by-step explanation:
61 divided by 8 = 7 remainder 5
you can do 7 3's and 7 5's which would make 7x3 = 21 + 7 x 5 = 35 21 + 35 = 56
61 - 56 = 5 (add 1 to the amount of 5's)
7 3's and 8 5's
Andrew invests $9000
What are you asking?
In the coordinate plane, the points A(-8, -6), B(-9, 11), and C(3. - 7) are reflected over the y-axis to the points A, B, and C', respectively. What are the coordinates of A' B', and C'?
Answer:
A' = (8,-6)
B' = (9,11)
C' = (-3,-7)
Step-by-step explanation:
When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.
The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=
Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
The value of each expression is given below,
B(6)=85
B(2.75)=52.5
B(1.482)=39.82
Value of x for each expression,
B(x)=93; x=6.8
B(x)=42.1; x=1.7
B(x)=116.25; x=9.125
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is B(x)=10x+25.
The value of each expression will b calculated as,
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
To know more about an expression follow
https://brainly.com/question/14161914
#SPJ2
Solve each proportion 3 = 72 – 7
1. 3/7 = 72/x
By cross multiplication we get :
➟ 3x = 72 × 7
➟ x = 72 × 7/3
➟ x = 24 × 7
➟ x = 168
2. m/8 = 8/20
By cross multiplication we get :
➟ 20m = 8 × 8
➟ 20m = 64
➟ m = 64/20
➟ m = 16/5
solve for x
2/x -2 = 3/2x +3
Step-by-step explanation:
If the perimeter of an isosceles triangle is
21cm. Find the product of the other two side if the base
side is 9cm
Answer:
6 cm for both sides
Step-by-step explanation:
Please help me answer it please no links or you will be reported
Answer:
what answer
Step-by-step explanation:
?????????????
Write an equation for the sentence.
Four times a number less 10 is equal to 16 ?
Answer:
four times a number less 10 is equall to 16 ia not
geomtry plz help me 15 pointz
Answer:
m∠R=76°
Step-by-step explanation:
∠STR=∠RST=(2x+2)° (base angles of isos triangle)
2(2x+2)+(3x+1)=180 (angle sum of triangle)
4x+4+3x+1=180
7x+5=180
7x=180-5
=175
x=175÷7
=25
Hence, m∠R = (3x+1)°
= [3(25)+1]°
= (75+1)°
= 76°
Answer:
m∠R=76º
Step-by-step explanation:
All angles in a triangle add up to 180º.
The triangle given is an isosceles triangle.
(2x+2)+(3x+1)+(2x+2)=180
Remove parentheses.
2x+2+3x+1+2x+2=180
Collect like terms.
7x+2+1+2=180
Add.
7x+5=180
Subtract 5 from both sides of the equation.
7x=175
Divide 7 from both sides of the equation.
x=25
m∠R=(3x+1)º
3x25+1=76º
m∠R=76º
Hope this helps :)
ILL GIVE BRAINLIEST! THIS IS DUE SOON PLEASE
Answer:
-3
Step-by-step explanation:
a. Simply put (x+h) wherever you have x.
[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h[/tex]
b. We have the first part, just subtract
[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h - (-3x+7) = -3x+7-3h +3x -7 = -3h[/tex]
c. Finally, we divide by h[tex]\frac{-3h}h = -3[/tex]
Describe fully the tranformation that takes shape P to shape Q
Answer:
Enlargement (aka: Dilation)
Step-by-step explanation:
As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.
Answer:
dilation by a scale factor by 3 about (1, 0)
Step-by-step explanation:
it is dilation by a scale factor of 3
see the below picture to find the center of dilation formula
(2, 1) (4, 3) points of transformation
center = (3*2 - 4 / 3 - 1, 3*1 - 3 / 3 - 1)
= ( 6 - 4 / 2, 0)
= (1, 0)
so single transformation is dilation by a scale factor by 3 about (1, 0)
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
Answer:
You told me to resolve this question
5. 3 out of 750 light bulbs is what percent?
Answer:
0.00706666666
Step-by-step explanation:
On a recent vacation to the Philippines, Sama bought milk from two different stores. What is the difference in price between the two-unit rates for each carton of milk?
and
Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.
Please solve this correctly. I will give Brainliest.
Answer:
yes because that are true
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Step-by-step explanation:
the numbers : x, y
x + y = 65
x = y + 5
we use the second equation in the first equation :
y + 5 + y = 65
2y + 5 = 65
2y = 60
y = 30
x = y + 5 = 30 + 5 = 35
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2, what is the exact measure of θ? Give your answer in radians.
Answer:
Please double check the question
y = 2√2 is not on the unit circle
The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,
How to get the angle?A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]
[tex]1^2=\dfrac{2}{4}+y^2[/tex]
[tex]1-\dfrac{1}{2}=y^2[/tex]
[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
brainly.com/question/17972372