Answer:
y = 21/5x
Step-by-step explanation:
y is directly proportional to x
y = kx
Find k constant.
21 = 5k
21/5 = k
Plug k as 21/5.
y = 21/5x
Answer:
y=21/5x
Step-by-step explanation:
When y is 21, x is 5.
5(21/5)=21, so we have y=21/5x
Aram's four children are now 1, 5, 7, and 9 years old. In how many years will the sum of the ages of two of his children be twice the sum of the ages of the other two children?
Answer:
In 2 years
Step-by-step explanation:
age right now 1,5,7,9
Let the number of years in which the sum of the ages of two of his children be twice the sum of the ages of the other two children=x
Therefore Age of the children after x years will be 1+x,5+x,7+x and 9+x
2[1+x + 5+x] = (7+x)+(9+x)
2[6+2x]= 7+9+x+x
12+4x=16+2x
4x-2x=16-12
2x=4
x=4/2=2
Let's verify if the answer is correct
-- Verify by substituting the value of x in this 2[1+x + 5+x] = (7+x)+(9+x)
2[1+2 + 5+2] = (7+2)+(9+2)
2[10]=9+11
20=20
Therefore 2 years is the answer
We are required to find the number of years when the ages of two of his children be twice the sum of the ages of the other two children?
The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years
Child 1 = 1 year
Child 2 = 5 years
Child 3 = 7 years
Child 4 = 9 years
let
x = number of years it will take for two of his children be twice the sum of the ages of the other two children
twice the age of the two younger children in the unknown year equal the age of the two older children in the unknown year
2{(1 + x) + (5 + x)} = (7 + x) + (9 + x)
2(1 + x + 5 + x) = 7 + x + 9 + x
2(6 + 2x) = 16 + 2x
12 + 4x = 16 + 2x
12 - 16 = 2x - 4x
-4 = - 2x
divide both sides by -2
-4 / -2 = x
x = 2
Therefore,
The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years
Read more:
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I WILL GIVE BRAINLIEST - There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?
Answer:
You can choose one senator in 2 ways from the first of the 3 states; in 2 independent ways from the second of the 3 states; and in 2 independent ways from the third of the 3 states.
Step-by-step explanation:
So the answer to that question is 2*2*2*19600 which = 156800 ways.
BRAINLIEST TO FIRST ANSWER PLEASEEE HELPPP!!! The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . Explain where each the numerator and denominator come from. What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.
Answer:
P = 1 /362880
Where the numerator is the event of selecting the same order as last performance that is 1.
The denominator is the total number of possible events of selecting the 9 dancers.
p = 1/72
Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
Step-by-step explanation:
The probability that the team selects the same order as last performance is 1 divided by 362880
Explain where each the numerator and denominator come from
The probability that the team selects the same order as last performance is
P = 1 /362880
Where the numerator is the event of selecting the same order as last performance that is 1.
The denominator is the total number of possible events of selecting the 9 dancers.
Total number of dancers = 9
The 1st dancer can be selected in 9 ways
The 2nd dancer can be selected in 8 ways
The 3rd dancer can be selected in 7 ways
The 4th dancer can be selected in 6 ways
The 5th dancer can be selected in 5 ways
The 6th dancer can be selected in 4 ways
The 7th dancer can be selected in 3 ways
The 8th dancer can be selected in 2 ways
The 9th dancer can be selected in 1 ways
So the total number of ways = 9×8×7×6×5×4×3×2×1 = 362880
What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position?
Lets us put the top hip hop dancer in the third position and top break dancer in the first position then the remaining 7 dancers can be selected in
7×6×5×4×3×2×1 = 5040 ways
So the required probability is,
P = 5040/362880
P = 1/72
P = 0.0139
Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
Please help its eighth math!
Answer:
t and u are parallel lines
s and t are also parallel lines
Step-by-step explanation:
If two parallel lines are cut by a transversal ,
then in it
pair of alternate angle are equals, similarly vice versa
if pair of alternate angle are equals then lines are parallel
pair of corresponding angles are equal and vice-versa
for example
in the given problem
if line t and u are parallel (note we have assumed this to give example of parallel lines)
then angle 7 and 9 are called alternate angles
pair of angles 5 and 9 are corresponding angles.
________________________________________________
given
∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,
thus t and u are parallel lines
___________________________
∠1 = ∠3 as they vertically opposite angles
and we know that pair of vertically opposite angles are equal
given
∠1 = ∠7
thus
∠3 = ∠7
as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line s and t are also parallel.
Calculus.
Only need answer yo question number 30,14,10 pleassse
Answer:
See below in bold.
Step-by-step explanation:
14. f(x) = x^6 e^x
Applying the Product Rule:
f'(x) = x^6 e^x + 6x^5 e^x
= e^x(x^6 + 6x^5).
10. f(x) = x^3 - 4
y = x^3 - 4
x^3 = y + 4
x = ∛(y + 4) so:
f-1(x) = ∛(x + 4). (you are correct.)
30. 3 sinh 2
= 3(e^4 - 1) / 2 e^2
= 10.88058
= 10.881.
7) Which author's point of view is MOST SUPPORTED in the passage?
A)
The author respects and admires qualities in the
queen.
Eliminate
B)
The author is deeply saddened by the death of the
queen.
Te
The author is heavily critical of the queen's ignorant
politics
D)
The author feels the trip to Ireland contributed to 'her
worsening condition
Answer:
I think A is the MOST supported of all of the options. The author spends the majority of the writing remarking and complimenting the Queen's strength and desire to be concerned with the people of her land.
A) The author respects and admires qualities in the queen.
Step-by-step explanation:
HOPE THIS HELPED!! :)
Algebra help needed
Answer: I had the same one
Step-by-step explanation: I DON'T GET IT EITHER
Can you please say if the point is on the line?
The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynomial? Check all that apply! I will mark as brainliest:D
Answer:
(3/2, 0+), (-1, 0+)
Step-by-step explanation:
An exact "zero" of a polynomial is characterized by a point on the x-axis. In this case the best approximation to that is the point (3/2, 0+); the next best approximation is (-1, 0+). Note that neither of these two points actually lies on the x-axis, but that both are closer to the x-axis than are any of the other given points.
The x-values which best approximate roots of the polynomial are x=1.1 and x=4.1
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.
We can see in the graph that there are three points where the value of polynomial becomes 0.
The roots of a polynomial occur where the graph crosses the x-axis
x=1.1
x=4.1
Hence, the x-values which best approximate roots of the polynomial are x=1.1 and x=4.1
To learn more on Polynomials click:
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A line passes through the point (4, –2) and has a slope of One-half.
A coordinate plane.
What is the value of a if the point (–4, a) is also on the line?
–6
–5
5
6
Answer:
a = -6
Step-by-step explanation:
The given line in point-slope form is y + 2 = (1/2)(x - 4).
Replacing x with -4 yields y + 2 = (1/2)(-4 - 4) = (1/2)(-8)
Then y + 2 = -4, and so y = -6, or a = - 6.
Answer:
-6
Step-by-step explanation:
There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. How many of these sets contain any 5 numbers?
Answer:
252 sets
Step-by-step explanation:
The set given to us is:
{0,1,2,3,4,5,6,7,8,9}
Total number of elements in set = n = 10
Number of elements to be included in seach set = r = 5
As the order doesn't matter, we can use the combination formula to find number of different combinations if we choose 5 numbers from the given 10 numbers with no repetition:
C(10,5) = 10!/(5!)(10-5)!
C(10,5) = 10!/(5!)(5!)
C(10,5) = 10·9·8·7·6/ 5·4·3·2·1
C(10,5) = 252
Thus 252 sets can be formed which contains any of the 5 numbers from the sets
plz help
urgent !!!!
will give the brainliest !!
Answer:
[tex]X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex]
Step-by-step explanation:
The question we have at hand is, in other words,
[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}[/tex] - where we have to solve for the value of [tex]X[/tex]
If we have to isolate [tex]X[/tex] here, then we would have to take the inverse of the following matrix ...
[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}[/tex] ... so that it should be as follows ... [tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}[/tex]
Therefore, we can conclude that the equation as to solve for " [tex]X[/tex] " will be the following,
[tex]X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] - First find the 2 x 2 matrix inverse of the first portion,
[tex]\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}[/tex] = [tex]\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}[/tex]= [tex]\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}[/tex] = [tex]\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}[/tex]
At this point we have to multiply the rows of the first matrix by the rows of the second matrix,
[tex]X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] ,
[tex]X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}[/tex] - Simplifying this, we should get ...
[tex]\begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex] ... which is our solution.
Suppose that alpha is inversely proportional to beta. If alpha = -6 when beta = 12, find alpha when beta = -2.
Answer:
36
Step-by-step explanation:
Equation for an inversely proportional relation, where y is inversely proportional to x:
[tex] y = \dfrac{k}{x} [/tex]
Here we have:
[tex] \alpha = \dfrac{k}{\beta} [/tex]
We use the known ordered pair to find k.
[tex] -6 = \dfrac{k}{12} [/tex]
[tex] k = -72 [/tex]
The relation is:
[tex] \alpha = \dfrac{-72}{\beta} [/tex]
For beta = -2,
[tex] \alpha = \dfrac{-72}{-2} [/tex]
[tex] \alpha = 36 [/tex]
Which solid has a greater volume?
O A. Figure A has a greater volume.
75
O B. Figure B has a greater volume.
O C. They are equal.
OD. It cannot be determined.
SUBME
Answer:
C. they are eqwal
Step-by-step explanation:
I took the APE_X quiz
The volume of cone and cylinder are same or equal, so they are equal is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
There are two figures one is cone and other is Cylinder.
The volume of cone can be find by using πr²h/3
r=5, h=6
Volume = π(25)(6)/3
=50π
Now to find volume of cylinder.
h=50 and r=1
Volume = πr²h
=50π
the volumes are same for both cylinder and cone.
Hence, the volume of cone and cylinder are same or equal, so they are equal is correct.
To learn more on Three dimensional figure click:
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a+2=6 explain pkleaseeeeeeeeeeeeeeee
━━━━━━━☆☆━━━━━━━
▹ Answer
a = 4
▹ Step-by-Step Explanation
a + 2 = 6
Subtract 2 from both sides
2 - 2 = crossed out
6 - 2 = 4
Final Answer
a = 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
a=4
Step-by-step explanation:
If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)
What are the domain and range of f(x) = 4x – 8? A. domain: {x | x is a real number}; range: {y | y > –8} B. domain: {x | x is a real number}; range: {y | y > 8} C. domain: {x | x > 4}; range: {y | y > –8} D. domain: {x | x > –4}; range: {y | y > 8}
Answer: Non of the options is correct.
Step-by-step explanation:
Domain of a function are the minimum and maximum values of independent variable (x).
You are given the function:
f(x) = 4x – 8
The domain can be any real numbers.
Range is the minimum to maximum value of dependent variable ( y )
From the given equation:
f(x) = 4x – 8
If the value of domain are substituted, the range will also be any real numbers.
Non of the answers is correct because both the domain and the range are all real numbers.
But the best option among the given option is option A:
domain: {x | x is a real number}; range: {y | y > –8}
Answer:
A on edg
Step-by-step explanation:
wuudxjwejd unm would iou hx
Answer:
PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Step-by-step explanation:
what is 27/9?????????? help :) plz
Answer:
it is 3
Step-by-step explanation:
Answer:
3 yessirrr
Step-by-step explanation:
Please help me I give brainliest when I can
Answer: X=7 y=0
Step-by-step explanation:
first transfer the -6y over than multiply it by 2 so the x's are equal then subtract the bottom equation from top equation and you get y = 0 then solve each equation with y = 0 and you get x = 7
<!> Brainliest is appreciated! <!>
Answer:
y = 0
x = 7
Step-by-step explanation:
First substitute
[tex]First\\ substitute\\\\2(-6y+7)-9y=14\\\\Then \\ distribute\\\\-12y+14-9y=14\\\\Then\\ combine \\like \\terms\\-21y=0\\\\Then\\ divide\\y=0\\\\Then \\substitute\\x=-6(0)+7\\\\Then\\Distribute\\\\x=0+7\\\\Then\\combine\\like\\terms\\\\x=7\\[/tex]
Hope it helps <3
(Please give brainliest, this took forever :) )
SOMEONE PLEASEEEEE HELLPPP !! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?
Answer:
a. 412
b. 478
Step-by-step explanation:
We have to find the corresponding probabilities using the standard normal table, that is, we must calculate the value of z, the formula of z is as follows:
z = (x - m) / sd
where x is the value to evaluate, m is the mean and sd is the standard deviation.
We are told that the mean is 8.2 cm and the standard deviation is equal to 2.8 cm.
a. smaller than 5.9cm?
In this case x would be 5.9, we replace and we are left with:
z = (x - m) / sd
z = (5.9 - 8.2) /2.8
z = -0.82
If we look for this value in the normal table (attached) it corresponds to 0.2061, to know the number of apples we must multiply this value by the total value of apples, that is 2000. Therefore:
2000 * 0.2061 = 412.2 = 412
b) larger than 10.2cm?
In this case x would be 10.2, we replace and we are left with:
z = (x - m) / sd
z = (10.2 - 8.2) /2.8
z = 0.71
In this case z corresponds to 0.7611, but since this is the value is smaller than 10.2, and we need is larger than 10.2cm, it would be the complement, that is:
1 - 0.7611 = 0.2389
Now to calculate the total number of apples we have:
2000 * 0.2389 = 477.8 = 478
How many ways can you distribute 4 different balls among 4 different boxes?
Answer:
16?? not sure.......
In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?
Answer:
y will be in every single quadrant
Step-by-step explanation:
So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex] first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way
Use the data set shown below to complete the sentence.
3, 3, 4, 5, 5,9
The mean
the median. is it greater than, is less than or is equal to
Answer:
is greater than
Step-by-step explanation:
Mean: sum of numbers ÷ how many numbers there are
3 + 3 + 4 + 5 + 5 + 9 = 29
29 ÷ 6 = 4.83333
Median: middle number
3 3 4 5 5 9
4 + 5 = 9
9 ÷ 2 = 4.5
4.83333 > 4.5 so the mean is greater than the median.
Hope that helps. :)
FOLIUS
Select the two binomials that are factors of 49x2 - 36.
I A. 7x + 6
B. 7x + 12
OC. 7x-6
D. 7x - 3
Answer:(7x - 6)(7x + 6)
Step-by-step explanation:
Answer:
answer is just C and
Step-by-step explanation:
Miranda has 5 shirts and 4 pairs of pants that she uses for her work clothes. How many different outfits can be assembled using 5 shirts and 4 pair of pants?
Answer:
20
Step-by-step explanation:
lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d
combinations include:
Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed
however, it isn't necessary to write out all the combinations as you could just do 5*4=20.
Given the following function, find f(-5), f(0), and f(2).
f(x) = - 3x-5
f(-5) =
Answer:
10, -5, -11
Step-by-step explanation:
f(x) = - 3x-5
f(-5) = -3(-5) - 5 => 15 - 5 => 10
f(0) = -3(0) - 5 => 0 - 5 => -5
f(2) = -3(2) - 5 => -6 - 5 => -11
The value of the function at x = –5, 0, 2 will be 10, –5, and –11.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x) = –3x – 5
The value of the function at x = –5, 0, 2 will be
f(–5) = –3(–5) – 5
f(–5) = 15 – 5
f(–5) = 10
f(0) = –3(0) – 5
f(0) = 0 – 5
f(0) = –5
f(2) = –3(2) – 5
f(2) = –6 – 5
f(2) = –11
More about the function link is given below.
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Find the number of 4-digit numbers that contain at least three even digits.
Answer:
4625 numbers
Step-by-step explanation:
To solve this problem we can separate it in different cases, and then we sum the amount of numbers of each case to find our final result.
The first case is: all four numbers are even.
We have 5 even digits, and the first digit of the 4-digit number can't be zero, so for the first digit we have 4 possible values, and for the other 3 digits we have 5 possible values, then the amount of numbers with this condition is:
[tex]N_1 = 4 * 5 * 5 * 5 = 500\ numbers[/tex]
The second case is the number having three even digits and one odd digit, and the first digit is the odd digit.
In this case, the first digit has 9 possible values (all digits but zero) and the other 3 digits have 5 possible values (even digits):
[tex]N_2 = 9 * 5 * 5 * 5 = 1125\ numbers[/tex]
The third case is the number having three even digits and one odd digit, and the first digit is not the odd digit.
In this case, the first digit has 4 possible values, the odd digit has 10 possible values and the other two digits have 5 possible values. The odd digit can be the second, the third or the fourth digit, so we multiply our result by 3 (because we will find the same result if we choose the odd digit to be the second, third or fourth):
[tex]N_3 = 3 * 4 * 10 * 5 * 5 = 3000\ numbers[/tex]
So the final result is the sum of these cases:
[tex]N = N_1 + N_2 + N_3[/tex]
[tex]N = 500 + 1125 + 3000 = 4625\ numbers[/tex]
The student body of 205 wants to elect a president, vice president, and a secretary. Is an example of permutation or combination.
Answer:
Combination
Step-by-step explanation:
Permutation is likely used more for lists/ordered things.
Combination is used more for groups.
Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.
rewrite the polynomial in the form ax^2+bx+c and then identify the values of a, b, and c. 6+9x^2
Answer:
see below
Step-by-step explanation:
6+9x^2
Rewriting in decreasing powers of x
9x^2 +0x + 6
ax^2+bx+c
a = 9
b =0
c = 6
another algebra problem i cant solve
Answer:
where is the problem?
Step-by-step explanation: