33 pupils - 17 girls = 16 total boys in the class
16 boys - 14 boys not on the team = 2 boys on the team.
Answer: 2
Qiang is inviting 4 friends to a party each friend wants 4 cookies each box has 10 cookies how many boxes should qiang get
hint: 180 *
1. Find the missing angle.
29
R
61
T
Answer:
∠ R = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ R + ∠ S + ∠ T = 180° , substitute values
∠ R + 29° + 61° = 180°
∠ R + 90° = 180° ( subtract 90° from both sides )
∠ R = 90°
Your school ID is a 5-digit number. The 9 is in the thousand place, the 0 is in the ones place, an 8 is in the thousands place, a 4 is in the tens place and a 2 is in the hundreds place. What is your school ID number?
Answer:
89240
Step-by-step explanation:
_ 9 _ _ _ is in the thousands
_ 9 _ _ 0 is in the ones
going to assume you meant 8 is in ten thousands
8 9 _ _ 0 is in ten thousands
8 9 _ 4 0 is in tens
8 9 2 4 0 is in hundreds
School number is 89240
Answer: 98,240
What we are doing here is changing from expanded form into standard form.
To do that, you add all the place values to get the total number. So, our place values are:
10,000 - Ten Thousands Place
1,000 - Thousands Place
100 - Hundreds Place
10 - Tens Place
Now, we will need to look at the problem.
It says, The 9 is in the ten thousand place, the 0 is in the ones place, an 8 is in the thousands place, a 4 is in the tens place and a 2 is in the hundreds place.
According to the question, the 9 will be in the Tens Thousands Place, so our first number will be, 90,000.
The 8 will be in the Thousands place, so our second number will be 8,000.
The 2 will be in the Hundreds place, so our third number will be 200.
The 4 will be in the Tens place, so our fourth number will be 40.
Since the one's place is 0, we don't need to worry about that number.
Putting the answer in an equation, it will be like this,
90,000 + 8,000 + 200 + 40Now we can add.
Adding these numbers up will equal to, 98,240.
Therefore, the answer is 98,240.
Differential Equation
1. The given equation is probably supposed to read
y'' - 2y' - 3y = 64x exp(-x)
First consider the homogeneous equation,
y'' - 2y' - 3y = 0
which has characteristic equation
r² - 2r - 3 = (r - 3) (r + 1) = 0
with roots r = 3 and r = -1. Then the characteristic solution is
[tex]y = C_1 e^{3x} + C_2 e^{-x}[/tex]
and we let y₁ = exp(3x) and y₂ = exp(-x), our fundamental solutions.
Now we use variation of parameters, which gives a particular solution of the form
[tex]y_p = u_1y_1 + u_2y_2[/tex]
where
[tex]\displaystyle u_1 = -\int \frac{64xe^{-x}y_2}{W(y_1,y_2)} \, dx[/tex]
[tex]\displaystyle u_2 = \int \frac{64xe^{-x}y_1}{W(y_1,y_2)} \, dx[/tex]
and W(y₁, y₂) is the Wronskian determinant of the two fundamental solutions. This is
[tex]W(y_1,y_2) = \begin{vmatrix}e^{3x} & e^{-x} \\ (e^{3x})' & (e^{-x})'\end{vmatrix} = \begin{vmatrix}e^{3x} & e^{-x} \\ 3e^{3x} & -e^{-x}\end{vmatrix} = -e^{2x} - 3e^{2x} = -4e^{2x}[/tex]
Then we find
[tex]\displaystyle u_1 = -\int \frac{64xe^{-x} \cdot e^{-x}}{-4e^{2x}} \, dx = 16 \int xe^{-4x} \, dx = -(4x + 1) e^{-4x}[/tex]
[tex]\displaystyle u_2 = \int \frac{64xe^{-x} \cdot e^{3x}}{-4e^{2x}} \, dx = -16 \int x \, dx = -8x^2[/tex]
so it follows that the particular solution is
[tex]y_p = -(4x+1)e^{-4x} \cdot e^{3x} - 8x^2\cdot e^{-x} = -(8x^2+4x+1)e^{-x}[/tex]
and so the general solution is
[tex]\boxed{y(x) = C_1 e^{3x} + C_2e^{-x} - (8x^2+4x+1) e^{-x}}[/tex]
2. I'll again assume there's typo in the equation, and that it should read
y''' - 6y'' + 11y' - 6y = 2x exp(-x)
Again, we consider the homogeneous equation,
y''' - 6y'' + 11y' - 6y = 0
and observe that the characteristic polynomial,
r³ - 6r² + 11r - 6
has coefficients that sum to 1 - 6 + 11 - 6 = 0, which immediately tells us that r = 1 is a root. Polynomial division and subsequent factoring yields
r³ - 6r² + 11r - 6 = (r - 1) (r² - 5r + 6) = (r - 1) (r - 2) (r - 3)
and from this we see the characteristic solution is
[tex]y_c = C_1 e^x + C_2 e^{2x} + C_3 e^{3x}[/tex]
For the particular solution, I'll use undetermined coefficients. We look for a solution of the form
[tex]y_p = (ax+b)e^{-x}[/tex]
whose first three derivatives are
[tex]{y_p}' = ae^{-x} - (ax+b)e^{-x} = (-ax+a-b)e^{-x}[/tex]
[tex]{y_p}'' = -ae^{-x} - (-ax+a-b)e^{-x} = (ax-2a+b)e^{-x}[/tex]
[tex]{y_p}''' = ae^{-x} - (ax-2a+b)e^{-x} = (-ax+3a-b)e^{-x}[/tex]
Substituting these into the equation gives
[tex](-ax+3a-b)e^{-x} - 6(ax-2a+b)e^{-x} + 11(-ax+a-b)e^{-x} - 6(ax+b)e^{-x} = 2xe^{-x}[/tex]
[tex](-ax+3a-b) - 6(ax-2a+b) + 11(-ax+a-b) - 6(ax+b) = 2x[/tex]
[tex]-24ax+26a-24b = 2x[/tex]
It follows that -24a = 2 and 26a - 24b = 0, so that a = -1/12 = -12/144 and b = -13/144, so the particular solution is
[tex]y_p = -\dfrac{12x+13}{144}e^{-x}[/tex]
and the general solution is
[tex]\boxed{y = C_1 e^x + C_2 e^{2x} + C_3 e^{3x} - \dfrac{12x+13}{144} e^{-x}}[/tex]
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 235t + 269.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
Is 40 is 50% of 80 true or false
With step by step evidence
Answer:
please mark brainliest
it is true
Step-by-step explanation:
if you multiplie 80 by 0.50 you will get 40,
does the graph represent a function?
Answer:
No
Step-by-step explanation:
yes it is
for it to not be a function it would need to have a curve or somthing that make it go somehwere else
intergrate, e^-x (e^-½) with limits from 0 to π
Answer:
Step-by-step explanation:
First off, your written problem doesn't match the one you typed. The written problem doesn't have a solution, so I'm going with the typed one (cuz I can solve that one!).
Begin by noting that [tex]e^{-\frac{1}{2}[/tex] is a constant and can be pulled out front of the integration symbol:
[tex]e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-x}} \, dx[/tex]
Choose u = -x, so du/dx = -1 and -du = dx. Put that - out front along with what's already there to get:
[tex]-e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-u}} \, du[/tex]
The antiderivative of e^-u is e^-u, so putting it all together and applying the First Fundamental Theorem of Calculus:
[tex]-e^{-\frac{1}{2}}(e^{-\pi }-e^0)[/tex] which simplifies to
[tex]-e^{-\frac{1}{2}}(e^{-\pi }-1)[/tex] which simplifies to
[tex]-e^{-\pi -\frac{1}{2}}+e^{-\frac{1}{2}}[/tex] which has a decimal equivalency of .5803200934
Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Answer:
a = 23.588
Step-by-step explanation:
a^2 = 17 1/3^2 + 16^2
a^2 = 300.4 + 256
a^2 = 556.4
a = 23.588 (I rounded to thousandths but you can round to whatever)
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]Hope you could get an idea from it.
Doubt clarification - use comment section.
I need answers ASAP
Answer:
Simplifying
6r + r + -5r = 0
Combine like terms: 6r + r = 7r
7r + -5r = 0
Combine like terms: 7r + -5r = 2r
2r = 0
Solving
2r = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Divide each side by '2'.
r = 0
Simplifying
r = 0
7r-5r < this is the answer
6r+r=7r
A class of 22 students has taken an exam, and the mean of their scores is 76.5. One student takes the
exam late, and scores 92. After including the new score, what is the mean score for all 23 exams? Round
to the nearest hundredth.
The mean score for all 23 students is 77.17.
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.
The first step is to determine the total scores of the 22 students.
Total scores = mean score x number of students
22 x 76.5 = 1683
The second step is to add the score of the student that took the exam late tot he total scores.
New total score = 1683 + 92 = 1775
The third step is to determine the new mean score.
new mean score = new total score / total number of students
1775 / 23 = 77.17
To learn more about the mean of a set of numbers, please check: https://brainly.com/question/15420908?referrer=searchResults
HELP!! YOU'LL GET BRAINLIEST
Answer:
b = 1
Step-by-step explanation:
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220
10. If pointer 1 is spun and then pointer 2 is spun, determine the probability of landing on a color other than red on both spins. The probability is (Type an integer or a simplified fraction.)
Answer:
Answer below
Step-by-step explanation:
1/8 is correct
in pic
_________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
The GDP per capita of ten arab countries is given in US Dollars. Find the median: 22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249 (1 Point 12057 O None of these 0 11764.5 O 17791
Answer:
11764.5Step-by-step explanation:
Given numbers:
22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249Put the numbers in ascending order:
1249, 3046, 3345, 3980, 5738, 17791, 22865, 29266, 37749, 69687Since the set is even, the median is the average of the middle numbers:
(5738 + 17791)/2 = 11764.5Tell whether the pairing is a function.
2.
Input
3
6
9
12
Output
1
2
N
1
Is it a function?
Answer:
I believe that it is function
what is the value of the digit 4 in 0.342
Answer:
0.04 = four hundredths
Step-by-step explanation:
To find the value of a digit in a number, set all the other digits to zero.
The value of the 4 is ...
0.040
The 4 is in the hundredths place, so its value is four hundredths.
Can someone help me please
Answer:
sorry i can answer that the asy
Answer:
Q1 - 10080
(sorry couldn't do q2 haha)
step by step;
1.8.3 practice - functions
11. Find f(2) and f(a+h) when f(x) = 3x^2 + 2x + 4.
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
Answer:
33.33%
Step-by-step explanation:
solve pls brainliest
Answer:
4 cm
Step-by-step explanation:
Where 7 cm is located is parallel to the side of 11cm
11-7 is 4cm.
Hope that helps!
i literally can't figure out the answer to this, help would be very much appreciated.
(PICTURE INCLUDED BELOW)
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
A. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
B. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
C. Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
D. Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis
Answer:
B
Step-by-step explanation:
The figure is in quadrant 1. When you do a 180 degree rotation it will out the image diagonally across into quadrant 3. Next reflect across the y-axis to get it in quadrant 4.
A 180 rotation will always end up diagonally across regardless if it is counterclockwise or clockwise.
Answer:
A. Counterclockwise rotation around the origin by 180 degrees followed by reflection around the x-axis.
Step-by-step explanation:
180° would be turning it counterclockwise 2 times. Thus putting it on the points of figure P'Q'R'S'.
Reflecting it across the x-axis would be putting it in the same position as P'Q'R'S'.
This being said, either way you did it, as long as you did it one of the two ways it would become a copy of PQRS. The answer is A.
Hope this helped you. Let me know if I got it correct!
- Abigail (:
Learning Task 2: Solve each proportion
1) 5/12 = 35/ n
2) n/ 52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]
2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]
5(9/12−1/4)+0.5 pls answer correctly
Answer:
3
Step-by-step explanation:
5(9/12 -1/4) +0.5
= 5(9/12 -3/12) +1/2 . . . . . . express the fractions using a common denominator
= 5(6/12) +1/2 . . . . . . . add the fractions
= 5(1/2) +1/2 . . . . . . reduce the result
= (5 +1)(1/2) . . . . factor out 1/2 (easier than adding mixed numbers)
= 6/2 = 3
_____
A calculator can be a useful tool for evaluating numerical expressions.
I really need help with my question!
Answer:
4
Step-by-step explanation:
because the others are shown wrong in 2 there are 5 tally marks and in 10 there are 6 telly marks
Answer: i just did this and its 4
Step-by-step explanation:
im dum as fudge
I RELLY NEED HELP RIGHT NOW
Answer: 28
Step-by-step explanation:
Solve for
x
6
(
x
−
6
)
=
5
(
x
+
1
)
Answer:
x = 41
Step-by-step explanation:
6(x−6)=5(x+1)
Step 1 - Expand the brackets:
6(x - 6) = 5(x + 1)
6x - 36 = 5x + 5
Step 2 - Add 36 to both sides of the equation:
6x - 36 + 36 = 5x + 5 + 36
6x = 5x + 41
Step 3 - Subtract 5x from both sides of the equation:
6x - 5x = 5x + 41 - 5x
x = 41
Hope this helps!
[tex]\large\underline{\sf{Solution-}}[/tex]
Given expression:
6(X - 6) = 5(X + 1)
⇛6X - 36 = 5X + 5
⇛6X - 5X = 5 + 36
⇛X = 41 Ans.
Read more:
Similar question
simplify 6/x-6+3x/x+5-1/(x-6)(x+5)....
https://brainly.com/question/9027174?referrer
Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.
Answer:
534,070.75 miles
Step-by-step explanation:
The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].
But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].
[tex]170000*\pi = 534070.75 (Rounded)[/tex]
solve 2/3 - 6y = - 1 5/6
Answer:
y = 19/36
Step-by-step explanation:
Assuming that what you want is the value of y, you can pass all the right side stuff to the left, and the y to the right:
2/3 + 15/6 = 6y
Then you can sum the fractions on the left by using the same denominators:
4/6 + 15/6 = 6y ==> 19/6 = 6 * y
then you can pass the 6 that is multiplying on the right to the left - now dividing:
y = 19/36
Answer:
y = 5/12
Step-by-step explanation:
2/3 - 6y = -1 5/6 . . . . . given
4 -36y = -11 . . . . . . . . . multiply by 6
15 = 36y . . . . . . . . . . add 36y+11
15/36 = y = 5/12 . . . . divide by 36, reduce the fraction
_____
Check
2/3 -6(5/12) = -1 5/6
4/6 -15/6 = -11/6 . . . . true
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
