Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
If y=a sin 3x+ b cos 3x and [tex]\frac{d^{2} y }{dx^{2} }[/tex] = ky, then what is the value of k?
Someone pls asnwer, correct answer will be marked as the brainiest. No spam!!
Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
The given equation has no solution when C is equal to what number?
2x+C(8+x)=16
Answer:
[tex]-2[/tex]
Step-by-step explanation:
When [tex]C=-2[/tex], the variable [tex]x[/tex] will be removed from the equation ([tex]2x-2x=0[/tex]). Therefore, we are left with [tex]-16\neq 16[/tex]. Thus, when [tex]C=-2[/tex], the given equation has no solutions.
HELPPPP PLZ WILL GIVE BRAINLIEST TO CORRECT ANSWER AND WORK
Q: Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 6cm and a height of 12cm, at the rate of 3 cm3/min. At what rate is the depth of the water changing at the instant when the water in the tank is 9 cm deep? Give an exact answer showing all work and include units in your answer. Show your work
EXERCISE 13.1
1. Following are the car parking charges near a railway station upto
4 hours
£60
8 hours
£100
12 hours
£140
24 hours
£180
Answer:
what is the calculation question you want in money
round 432.94 to 3 SF
Answer:
433
Step-by-step explanation:
i hope i helped<3
35-36. PLEASE HELP! I've bee stick on this problems and I've reposted it sooo many times but no one answered. If you answer both and leave an explanation I will mark you brainliest!
Answer:
1. Look at the screenshot below.
2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.
Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.
It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.
Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.
The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.
Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.
A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.
Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.
Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .
Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .
Either 25/4 or 6.25
what is 5x + 2 - 4x + 3
Answer:
x+5
Step-by-step explanation:
Answer:
+ 5
Step-by-step explanation:
Add the numbers 2 + 3 ---------- 5x + 5 - 4x
Combine like terms 5x - 4x------------- 1x + 5
Multiply by one
= x + 5
Solve for x*
X+ 19
14 + x
Answer:
x=-9
Step-by-step explanation:
2(14+x)=x+19
28+2x=x+19
x=-9
URGENT: Which of the following shows the polynomial below written in descending order?
4x^2 - x + 8x^6 + 3 + 2x^10
A. 2x^10 + 4x^2 - x + 3 + 8x^6
B. 2x^10 + 8x^6 + 4x^2 - x + 3
C. 3 + 2x^10 + 8x6 + 4x^2 - x
D. 8x^6 + 4x^2 + 3 + 2x^10 - x
One container of ice cream holds 9 scoops of ice cream. One package of ice cream cones has 12 cones. We want to make the fewest number of cones, with one scoop of ice cream on each cone and no ice cream or cones left over. How many containers of ice cream and packages of cones should be purchased? How many ice cream cones will we be able to make? The fewest number of ice cream cones we will be able to make is . We need to purchase containers of ice cream and packages of ice cream cones.
Answer:
1. There will be 4 ice cream containers and the number of ice cream cone package is 3.
2. will be able to make 36 ice cream cones and this is the fewest number of ice cream cones.
Step-by-step explanation:
One container of ice cream holds 9 scoops of ice cream.And, one package of ice cream cones has 12 cones.we have to find the least common multiple of 9 and 12 which is 36 and there must be 36 ice cream scoops and 36 ice cream cones.So, there will be 36/9 =3 ice cream containers.and the number of ice cream cone package is 36/12=3That gives you your answerHOPE THIS HELPS, GOOD LUCKWhat is another way to write the ratio 13 to 6
Answer:
Step-by-step explanation:
13:6
Another way to write this is 13/ or 13: or 13 to 6.
Step-by-step explanation: Here is my work:
It pretty sloppy but as long as it helps you!
Darla's family went on a vacation to Yellowstone Park. On day 1, they drove 14 the total distance, and on day 2 they drove an additional 15 the total distance. Which shows about how far the family has left to travel to Yellowstone Park?
Answer:
11/ 20
Step-by-step explanation:
Given that:
Fraction traveled on first day = 1/4
Fraction traveled on second day = 1/5
In fraction form, the total distance to be traveled is represented as 1
Total distance covered during the two days ;
(1/4 + 1/5)
L.C.M of 5 and 4 = 20
(5 + 4) / 20
= 9/20
Distance left to cover :
Total distance - total distance already covered
1 - 9/20
(20 - 9) / 20
11 / 20
Which postulate makes the triangle congruent.??
Can someone help??
Answer:
ASA (Angle-Side-Angle) Congruency Postulate
Step-by-step explanation:
In ΔCDE & ΔABF ,
∠ECD = ∠FAB (given)CD = AB (given)∠EDC = ∠FBA (given)∴ ΔCDE ≅ ΔABF by ASA congruency postulate.
how can adding integer numbers help me in my future in real life?
find the area of this parallelogram. be sure to include the correct unit in your answer
Answer:
84ft
Step-by-step explanation:
The formula to find the area of a parallelogram is b x h.
The base is 14ft and the height is 6ft. Multiply these together.
14 x 6 = 84ft
need help with this thanks
Answer:
15.51
Step-by-step explanation:
Answer:
15.51
Step-by-step explanation:
The calculator is $49.50.
The radio is $114.99.
First, we add them together.
49.50+114.99 = 164.49
that is the total cost of both the radio and calculator.
Next, we subrtact 180.00-164.49= 15.51.
2/5 ÷ 1/6 I need the answer step by step the reciprocal kfc and da answer
[tex]\frac{12}{5}[/tex] or [tex]2 \frac{2}{5\\}[/tex]
Step-by-step explanation:You follow KCF (Keep Change Flip)Keep [tex]\frac{2}{5}[/tex] the same
change the division sign to multiplication [tex]\frac{2}{5} \\[/tex] × [tex]\frac{1}{6\\}[/tex]
Flip [tex]\frac{1}{6}[/tex] so that the denominator is on top and the numerator is on the bottom like this [tex]\frac{6}{1\\}[/tex]
After doing those steps your new equation will look like this- [tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]
Multiplying[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex] Now all you have to do is multiply
1st- multiply 2x6
2nd- multiply 5x1
[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1\\\\}[/tex] = [tex]\frac{12}{5}[/tex]
So your answer is [tex]\frac{12}{5\\}[/tex] or [tex]2 \frac{2}{5}[/tex]
Hope my explanation helps you out!
Write an equation of a line that has a slope of 7/2 and passes through the point (14,-3). Convert it to slope-intercept form.
Answer:
y = ⁷/₂x - 52Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = ⁷/₂
(14, -3) ⇒ x₀ = 14, y₀ = -3
So, the point-slope form of the equation:
y + 3 = ⁷/₂(x - 14)
So::
y + 3 = ⁷/₂x - 49 {subtract 3 from both sides}
y = ⁷/₂x - 52 ← the slope-intercept form of the equation
Which of the following statements is not a translation of the equation 4+x=9?
Nine is a number added to four.
A number added to four is nine.
four plus a number is nine.
The sum of four and a number is nine.
PLEASE HELP A GIRLY OUT
Answer:
nine is a number added to four
Answer:
nine is a number added to four
CAN SOMEONE PLEASE HELP ME???
Answer:
C
Step-by-step explanation:
The blue line is the one that that slants from lower right to upper left. It has a negative slope as in - 1/2. The line is solid so that means the values of the line are included in the expression.
The area covered is purple, so y is less than the y values of the line. C is the only value that shows the paragraph above.
But we have to check the other inequality just to make sure you are right. y > 2/3 x - 4. The line is not included, so C is your answer.
q=4+0.8p What value of `q` would make the equation true when `p` is 100?
Answer:
84[hope this helps!]
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
.8×100=80
4+80=84
q=84
Solve the following equation:
5/6h+6/7h-9/14h=4
Will mark as brainliest.
Given:
The equation is
[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]
To find:
The solution of the given equation.
Solution:
We have,
[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]
It can be written as
[tex]\left(\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{9}{14}\right)h=4[/tex]
[tex]\left(\dfrac{35+36-27}{42}\right)h=4[/tex]
[tex]\left(\dfrac{44}{42}\right)h=4[/tex]
[tex]\dfrac{22}{21}h=4[/tex]
Multiply both sides by 21.
[tex]22h=84[/tex]
Divide both sides by 22.
[tex]h=\dfrac{84}{22}[/tex]
[tex]h=\dfrac{42}{11}[/tex]
Therefore, the solution of the given equation is [tex]h=\dfrac{42}{11}[/tex].
Simplify the following.
–(32)2
Answer:
-64
Step-by-step explanation:
If i'm not mistaken and this is times then it is just
-32 times 2
which is -64.
-
Have a wonderful day and best of luck!
Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Betsy gets the most. What is the least number of marbles that Betsy could get?
Answer:
23 marbles
Step-by-step explanation:
Number of children = 10
Number of marbles = 180
Since Betsy gets the most and no 2 children gets the same number of marbles
The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each
That is :
Betsy = x
9th child = x - 1
8th child = x - 2,... 1st child = x - 9
Hence,
(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180
10x - 45 = 180
10x = 180 + 45
x = 225 / 10
x = 22.5
x = 23
Hence, the least Betsy could get is 23 marbles
Could someone help me with this question please ASAP
Answer:
Step-by-step explanation:
Vertex form of quadratic equation with coordinate of vertex (h, k) is
y = a(x - h)² + k
PLEASE ANSWER QUICKLY!
Answer:
D
Step-by-step explanation:
Answer
24481232
Step-by-step explanation: all you gtta do is do this do your work
What is the name of the relationship between angle 5 and angle 7?
PleSe help
Answer:
Vertical
Step-by-step explanation:
There are opposite of each other, making them the same angle
Multiply 2ab(−a+2b+3)
PLEASE HELP
Answer:
(2•3a3b4)
Step-by-step explanation:Equation at the end of step 1
-2ab • (0 - (3a2 • b3))
STEP
2
:
Multiplying exponential expressions :
2.1 a1 multiplied by a2 = a(1 + 2) = a3
Multiplying exponential expressions :
2.2 b1 multiplied by b3 = b(1 + 3) = b4
Arianna's little brother loves playing with bouncy balls. For his birthday, Arianna buys him 3 bouncy balls for $0.65 each. She hands the cashier a five-dollar bill. How much change should Arianna receive?
Answer:
Arianna should receive $3.05 in change.
Step-by-step explanation:
In order to find the answer, you have to find the cost of the three balls by multiplying the cost per ball for the number of balls and then, you have to subtract this amount from five to find the change Arianna should receive:
$0.65*3=$1.95
$5-$1.95=$3.05
According to this, the answer is that Arianna should receive $3.05 in change.
CAN SOMEONE HELLP MEE? *cries
Answer:
wth is this typa math
Step-by-step explanation:
i dunno
Answer:
E & J are proportional to each other.
Step-by-step explanation:
by counting how many squares there are on each block we can see that they're both they same size only in a different position. On both short sides the blocks are 4 squares long, and on each long side the blocks are 6 squares long.