Answer:
The population was 3040 people in 8 years.
Step-by-step explanation:
find unit rate;
3800/10 = 380
380 x 8 = 3040
helppp please!!!!!!!!!!!!!!
Answer:
No
No
Yes
Yes
No
Step-by-step explanation:
In this case we are looking at substitution, so any where you find x put three(3) in replace of it.
And remember the answer should be 36,
I find it difficult to type the answer so I will take a picture instead.
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]
Work out the area of this semicircle.
Take a to be 3. 142 and write down all of the digits given by your calculator.
11 cm
Answer:
Step-by-step explanation:
A = πr²/2 = 3.142(11²)/2 = 190.091 cm²
Please help me answer it please no links or you will be reported
Answer:
what answer
Step-by-step explanation:
?????????????
-2 (x+5) = 4
use the distributive property to solve the equation
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!
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
Determine whether the distribution is a discrete probability distribution
X. 1 2 3 4 50
P(x) 0.28 0.45 0.11 0.08 0.08
Is the distribution a discrete probability distribution?
O A. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.
OB. No, because each probability is not between 0 and 1, inclusive.
O c. Yes, because the sum of the probabilities is equal to 1.
OD. No, because the sum of the probabilities is not equal to 1.
Answer:
A child psychologist is interested in the number of times a newborn baby’s crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby’s crying wakes its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.
P(x) = probability that X takes on a value x.
x P(x)0 P(x = 0) = 250
1 P(x = 1) = 1150
2 P(x = 2) = 2350
3 P(x = 3) = 950
4 P(x = 4) = 450
5 P(x = 5) = 150
Step-by-step explanation:
pa follow po pls.
answer this question fast
Answer:
0.09
Step-by-step explanation:
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)
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
quick mafs ill mark brainliest
Answer:
LJ< JK<LK
Step-by-step explanation:
for a theorem, the order of the side of the triangle is the same as the order of the opposite angles since for the angles it's K<L<J, you replace each with the opposite side (quick trick, it's the one not containing the letter!)
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]
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.
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
at edgars bakery one customer buys 4 donuts and 10 muffins for $32. Another customer buys 12 donuts and 5 muffins and pays $21.
x=price of donut
y=price of muffin
1. Write an equation to represent the first customer
2.write an equation to represent the 2nd customer
3.solve system of equations
Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.
The equation to represent the first customer is 4x + 10y = 32
The equation to represent the 2nd customer is 12x + 5y = 21
Solving the equations will be:
4x + 10y = 32 ...... i
12x + 5y = 21 ......ii
Multiply equation i by 12
Multiply equation ii by 4
48x + 120y = 384
48x + 20y = 84
100y = 380
y = 380/100 = 3.8
Therefore, we'll find the value for x which will be:
4x + 10y = 32
4x + 10(3.8) = 32
4x = 32 - 38
4x = -6
x = -1.5
Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.
Read related link on:
https://brainly.com/question/24429956
MATH
Which equation would you use to solve the following situation? If everybody on the team scores 4 points, and the team has a total of 28 points, how many people are on the team? 7 p = 28 4 p = 28 28 - p = 4 4 + p = 28
Answer:p=7
Step-by-step explanation:4x7=28
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
th
The Buffaloes scored 20 pointo the first part of the game. The Buffaloes total score at
the end of the game was 35 points.
What is the approximate percentage of the points scored during second part of the
game?
A
15%
43%
C.
57%
D
85%
The approximate percentage of the points scored during the second part of the game is 43%
Given the total score at the second part of the game = 35 pointsScore at the first part of the game = 20 pointsAmount of score during the second part of the game = 35 = 20 = 15 points% score in the second part = 15/35 * 100
% score in the second part = 1500/35
% score in the second part = 42.85 ≈ 43%
Hence the approximate percentage of the points scored during the second part of the game is 43%
Learn more on percentage here: https://brainly.com/question/2236179
There are 6 equally sized slices in a pizza. If Ken eats 5 of the slices,
what percent of the pizza has he eaten? Show your work.
Answer:
Step-by-step explanation:
5 / 6 = 0.83333333...
0.833333...•100 = 83.333333...
83.3%
Answer:
You can do this type of questions with inverse proportion.
_
%83,3
A circle has diameter 11 cm
Pythagoras theorem
Please answer will mark BRAINELIST:)
Please give me examples to use
Answer:
cy+d to the middle of the problem
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:
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]
The graph below represents the function f(x) and the translated function g(x) .
If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?
Answer: D. [tex]g(x) = (x-b)^2[/tex]
Explanation:
If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.
Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.
So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]
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.
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]
___________________________________
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
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
