Answer:
1. 792 2. 20. 3. 126. 4.1995840
Step-by-step explanation:
Use the formula C(n,r)= n!/ r/ (n-r)! where n is total quantity of varieties and r is the quantity uou should choose.
1) n=12 (total quantity); r= 7
C(12,7)= 12!/(7! *(12-7)!)= 8*9*10*11*12/ (5*4*3*2)= 8*9*11= 72*11= 792
2) n=6 r=3
C(6,3)= 6!/ (3! * (6-3)!)= 6!/ (3!)^2= 4*5*6/ 3*2= 20.
3) C(9,5)= 9!/ (5!*4!)= 6*7*8*9/ (4*3*2*1)= 2*63= 126
4) You need to choose the whole set which consists of three components that has been defined. Multiply previous results
792*20*126= 1995840.
I really need help thia is my last chance to get a good grade in math-
Answer:
Step-by-step explanation:
bsahaahaaana
HELP ASAP MATH QUESTION The midpoint of a line segment is located at (3, -2). If one of the endpoints is (1, 6), what is the other endpoint? Express your answer as an ordered pair.
Answer:
(5, -10)Step-by-step explanation:
[tex]Midpoint = (3,-2)\\1st \: endpoint = (1,6)\\2nd \: endpoint = ?\\\\\\Let \: (1,6) \:be \:x_1y_1\\Let\:(3,-2)\: be\:x\:and\:y\\\\x=(x_1+x_2)/2\\y=\frac{(y_1+y_2)}{2} \\\\3 =\frac{1+x_2}{2} \\\\3\times 2 =1+x_2\\\\6 = 1+x_2\\6-1=x_2\\\\x_2 =5\\\\y=\frac{(y_1+y_2)}{2} \\-2 = \frac{6+y_2}{2}\\\\ -2 \times 2= 6+y_2\\\\-4 = 6+y_2\\\\-4-6=y_2\\\\y_2 = -10\\\\Answer = (5 ,-10)[/tex]
Find the area of the shape:
Answer:
(8×6)+2×((14+6)×6)
=48+2×(20×6)
=48+240
=288
Step-by-step explanation:
please mark me as brainliest
solve 15x²+8x+1÷ 2x-y
Answer:
\frac{\left(5x+1\right)\left(3x+1\right)}{2x-y}
Step-by-step explanation:
15x^2+8x+1:\quad \left(5x+1\right)\left(3x+1\right)
add on 2x -y as the denominator of the fraction
Ms. Ayala had 152 pencils. She divided the numbers of pencils equally among 13 students. What is the greatest numberof pencils Ms.Ayala could have given each student
Answer:
11
Step-by-step explanation:
she divides the number of pencils equally
so the number of pencils per student is 152/13
which is 11.692...
but she can't give 0.69 of a pencil so she gives only the whole part 11
and she keeps 9 pencils
the length of a rectangle is three times its width .if the perimeter is 72cm,calculate the width of the rectangle.
Answer:
Width = 9
Step-by-step explanation:
According to the problem...
3x = length
x = width
2(3x + x) = 72
3x+x = 36
4x = 36
x = 9 = width
Hope that helped!!! k
Find the value of a.
3a-9=15
Answer:
a = 8Step-by-step explanation:
3a - 9= 15
To solve the equation send the constants to the right side of the equation
That's
3a = 15 + 9
simplify
3a = 24
Divide both sides by 3
[tex]\frac{3a}{3} = \frac{24}{3}[/tex]
The final answer is
a = 8
Hope this helps you
Answer:
a = 8
Explanation:
Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.
3a - 9 = 15
3a - 9 + 9 = 15 + 9
3a = 24
Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.
3a = 24
3a/3 = 24/3
a = 8
Since we have fully isolated the variable, a, we have determined its value.
Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.
We can calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation e=17/20d. How many U.S. dollars have the same value as 1 euro?
Answer:
1.18 dollar.
Step-by-step explanation:
E = 17/20D
E => The amount in euros.
D => The amount in dollars.
From the question given,
E = 1
D =?
E = 17/20D
1 = 17/20D
Cross multiply
20 x 1 = 17D
20 = 17D
Divide both side by 17
D = 20/17
D = 1.18
Therefore, 1.18 dollar is equivalent to 1 euro.
Answer:
How many Euros have the same value as 1 U.S. dollar?
17/20 euros
How many U.S. dollars have the same value as 1 euro?
59/50 dollars
(or 0.85 either one is correct)
Step-by-step explanation:
Khan Academy
Hope this helps! ;)
Evaluate the Expression z(z-7) when z=10
Answer:
30
Step-by-step explanation:
z(z-7)
Let z= 10
10(10-7)
Parentheses first
10 (3)
Multiply
30
Answer:
[tex]\huge\boxed{\sf 30\\}[/tex]
Step-by-step explanation:
= z ( z - 7 )
Put z = 10
= 10 ( 10 - 7 )
= 10 ( 3 )
= 30
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!5/14, 7/10, 5/6, 11/15, 19/21 arrange from ascending order
Answer:
5/14, 7/10, 11/15, 5/6, 19/21.
Step-by-step explanation:
Covert the fractions to decimal form:
5/14 = 0.357
7/10 = 0.7
5/6 = 0.833
11/15 = 0.733
19/21 = 0.905.
So in ascending order this is:
5/14, 7/10, 11/15, 5/6, 19/21.
Answer:
Step-by-step explanation:
to arrange in ascending order, we need to convert them into like fractions
to convert them into like fractions, we need to find the LCM of the denominators
the LCM of the denominators ( 14, 10, 6, 15 and 21 ) is 210
5/14 × 15/15 = 75/210
7/10 × 21/21 = 147/210
5/6 × 35/35 = 175/210
11/15 × 14/14 =154/210
19/21 × 10/10 = 190/210
75/210 < 147/210 < 154/210 < 175/201 < 190/210
∴ 5/14 < 7/10 < 11/15 < 5/6 < 19/21
Hope this helps
plz mark as brainliest!!!!!!!
Please help i need help answering these math problems i listed below
Answer:
Step-by-step explanation:
1) (-13)* .......(-13) for 35 times = (-13)³⁵
2) (2/3) * ...... * (2/3) for 4 times = (2/3)⁴
3)(-3.1)* ......(-3.1) for 4 times = (-3.1)⁴ = 92.2531
Please Help Answer :(
Answer:
8 ^ 20
Step-by-step explanation:
(8 ^ 10) ^2
We know that a^ b^ c = a^ ( b*c)
8 ^ (10*2)
8 ^ 20
what's the correct answer to this...?
Answer:
-13
Step-by-step explanation:
f(-2) = 3(-2) - 7
f(-2) = -6 - 7
f(-2) = -13
f(-2) means to replace x with -2 in the equation and solve:
3(-2) - 7 = -6 - 7 = -13
The answer is -13
BRAINLIEST, 5 STARS, 50 POINTS AND THANKS IF ANSWERED CORRECTLY.
----------------------------------------------------------
1. What are the solutions for x when y is equal to 0 in the following quadratic function?
y = x^2 + 4
2. What are the solutions for x when y is equal to 0 in the following quadratic function?
y = x^2 - 81
----------------------------------------------------------
Thank you if you answered!
Answer:
see explanation
Step-by-step explanation:
(1)
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← complex solutions
(2)
x² - 81 = 0 ( add 81 to both sides )
x² = 81 ( take the square root of both sides )
x = ± [tex]\sqrt{81}[/tex] = ± 9 ← real solutions
Answer:
1. -2
2. 9
Step-by-step explanation:
1. 0 = x2 + 4
-4 = x2
[tex]\sqrt{-4}[/tex] = x
x = -2
2. 0 = x2 - 81
81 = x2
[tex]\sqrt{81}[/tex] = x
x = 9
MARK IT BRAINLIEST!!!
Dos secretarias deben escribir el mismo número de cartas. La primera escribe 2 cartas por hora y la otra, 5 cartas por hora. Si la primera ha empezado 6 horas antes que la segunda. ¿Cuántas horas
trabajó la primera?
Ayuden!!
Answer:
El número de horas que trabajó la primera secretaria es de 10 horas
Step-by-step explanation:
Los parámetros dados son;
El número de letras que la primera secretaria puede escribir por hora = 2 letras
El número de letras que el segundo secretario puede escribir por hora = 5 letras
Dado que la primera secretaria comenzó 6 horas antes que la segunda secretaria, tenemos;
Sea el tiempo en horas en que ambas secretarias habrán escrito el mismo número de letras = [tex]t_e[/tex]
2 × [tex]t_e[/tex] + 2 × 6 = 5 × [tex]t_e[/tex]
2 × [tex]t_e[/tex] + 12 = 5 × [tex]t_e[/tex]
12 = 5 × [tex]t_e[/tex] - 2 × [tex]t_e[/tex] = 3 × [tex]t_e[/tex]
12 = 3 × [tex]t_e[/tex]
3 × [tex]t_e[/tex] = 12
[tex]t_e[/tex] = 12/3 = 4 horas
El número de horas que trabajó la primera secretaria = Tiempo de inicio anticipado + Tiempo que le toma a la segunda secretaria que comenzó 6 horas más tarde y a la primera secretaria que había estado escribiendo durante 6 horas (inicio anticipado) escribir la misma cantidad de cartas
El número de horas que trabajó la primera secretaria = 6 + 4 = 10 horas.
Por lo tanto, el número de horas que trabajó la primera secretaria = 10 horas.
Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?
f(x)= x3 - 2x2 - 3x + 6
f(x)= x3 - 2x2 + 3x + 6
f(x)= x3 + 2x2 - 3x + 6
f(x)= x3 + 2x2 - 3x - 6
Using the factor theorem, it is found that the polynomial is:
[tex]f(x) = x^3 - 2x^2 - 3x + 6[/tex]
Given by the first option
---------------------------
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] using the factor theorem it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
---------------------------
In this question:
[tex]x_1 = 2[/tex][tex]x_2 = \sqrt{3}[/tex][tex]x_3 = -\sqrt{3}[/tex]By the options, leading coefficient [tex]a = 1[/tex]Thus:
[tex]f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})[/tex]
[tex]f(x) = (x - 2)(x^2 - 3)[/tex]
[tex]f(x) = x^3 -2x^2 - 3x + 6[/tex]
Which is the polynomial.
A similar problem is given that: https://brainly.com/question/4786502
Latisha drove around town running errands all afternoon. The path she took is shown on the map below.
A path is 17 inches long. The scale is 2 inches = 3 miles.
To the nearest mile, what is the total distance that she traveled?
17/2 to x/3
cross multiply
51 = 2x
x= 25.5 miles or 26
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME THE STEP BY STEP EXPLANATION!!
The data value that occurs most often in a data set is the ____________.
A. mode
B. median
C. mean
D. range
mode is the data that occurs most often in a data
Each month a manufacturing plant makes 14500 light bulbs. last month, a random sample of 200 bulbs found that 2.5% were defective. Estimate the number of defective bulbs that were produced last month.
PLEASE HELP ASAP I WILL GIVE BRAINLIEST
Answer:
363
Step-by-step explanation:
Of 2.5% of 200 is 5 so we can scale that up to 14500 we get 362.5 and then we round it up to 363.
Which data set has an outlier?
Answer:
Option B
Step-by-step explanation:
You can tell this because it has the largest difference from the second highest listed value.
Answer:
Answer Is D
Step-by-step explanation:
Please Help!!!!
Write context that will match to the parameters in the following exponential function.
y= 38000. 3x
Step-by-step explanation:
kak kak jm ok bro open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men
Answer:
n
Step-by-step explanation:
feeeeer
Will Mark Brainlest Help Please Please
Answer:
a=2
b=-3
c=2
d=0
Step-by-step explanation:
3a+b=3......1
3c-d=6.......2
a-b=5....... 3
a+b+d=2d-1
a+b=2d-d-1
a+b=d-1......4
taking equation 1 and 3 we get,
3a+b =3....... 1
a-b=5
a=5+b
substitute the value of a in equation 1 we get,
3*(5+b)+b=3
15+3b+b=3
4b=3-15
4b=-12
b=-12/4
b=-3
now putting the value of b in equation 3 we get,
a-b=5
a+3=5
a=5-3
a=2
substitute the value of a and b in equation 4 we get,
a+b=d-1
2-3=d-1
-1=d-1
d=-1+1
d=0
substitute the value of d in equation 2 we get,
3c-d=6
3c-0=6
3c=6
c=6/3
c=2
[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]
Now constructing equations
[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]
[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]
[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]
Adding eq(1) and (2)
[tex]\\ \sf\longmapsto 4a=8[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto a=2[/tex]
Put the value in eq(2)
[tex]\\ \sf\longmapsto a-b=5[/tex]
[tex]\\ \sf\longmapsto b=a-5[/tex]
[tex]\\ \sf\longmapsto b=2-5[/tex]
[tex]\\ \bf\longmapsto b=-3[/tex]
put the values in eq(4)
[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]
[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]
[tex]\\ \sf\longmapsto d-1=2d-1[/tex]
[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]
[tex]\\ \sf\longmapsto -d=0[/tex]
[tex]\\ \bf\longmapsto d=0[/tex]
Put the value in eq(3)
[tex]\\ \sf\longmapsto 3c-d=6[/tex]
[tex]\\ \sf\longmapsto 3c-0=6[/tex]
[tex]\\ \sf\longmapsto 3c=6+0[/tex]
[tex]\\ \sf\longmapsto 3c=6[/tex]
[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]
[tex]\\ \sf\longmapsto c=2[/tex]
At a potluck, Agatha brings four dishes, Bertha brings three dishes, and five other friends bring no dishes but instead money to help pay for the food. If all the dishes are eaten up, and everyone eats the same amount, what fraction of the money should go to Bertha?
Answer:
3/7
Step-by-step explanation:
Agatha brings four dishes, Bertha brings three dishes. The total number of dishes brought = dishes brought by Agatha + dishes brought by Bertha.
Total dishes = 4 + 3 = 7 dishes
The remaining five friends brought money for the dishes. Therefore the fraction of money going to Bertha is the ratio of dishes brought to Bertha to the total number of dishes multiplied by the money. Therefore:
Fraction of the money should go to Bertha = dishes brought by Bertha/total dishes
Fraction of the money should go to Bertha = 3/7 × money
-The pendulum would accelerate to the right.
-The pendulum would accelerate downward.
-The pendulum would accelerate to the left.
-The pendulum would accelerate to the upward. help needed ASAP will give brainliest
Answer:
The pendulum would accelerate to the left.
Step-by-step explanation:
Because the force pushing it left is greater than the force pushing it right, it would go to the left.
Which expressions are equivalent to -2y-8+4y−2y−8+4yminus, 2, y, minus, 8, plus, 4, y ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -2(y+4)+4y−2(y+4)+4yminus, 2, left parenthesis, y, plus, 4, right parenthesis, plus, 4, y (Choice B) B 4(-2+y)-2y4(−2+y)−2y4, left parenthesis, minus, 2, plus, y, right parenthesis, minus, 2, y (Choice C) C None of the above
Answer:
C. None of the above. The correct expression is 2(y-4)Step-by-step explanation:
Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;
Step 1: Collect the like terms of the expression
= -2y-8+4y
= (-2y+4y)-8
Step 2: Sum up the terms in parenthesis:
= (-2y+4y)-8
= 2y-8
Step 3: factor out the common terms
= 2y-8
= 2(y-4)
Hence the equivalent expression is 2(y-4).
Answer:
A and B
Step-by-step explanation:
On Khan Academy its right.
Which is the mode for the data set? −1, 0, 3, 4, −3, −1
0.3 −1 2 −0.5
Answer:
-1
Step-by-step explanation:
Mode is the number that appears most often
−1, 0, 3, 4, −3, −1
-1 appears twice which is more than any other number
-1 is the mode
Solve 3x square - 2 x + 7 x - 5
Answer:
The correct ans is...
3 x square + 5 x - 5
Step-by-step explanation:
U can only subtract or add if u hv the same variable..
here -2x and 7x have the same variable...
so -2x + 7x = 5x
Therefore the ans is....
3 x square + 5 x - 5
Hope this helps....
Have a GOOD DAY !!!!
Pls mark my ans as brainliest
If u mark my ans as brainliest u will get 3 extra points
Sry to say....
U really need to read ur Math TBK
Answer:
3x²+5x-5
Step-by-step explanation:
collect like terms.
3x²+(-2x+7x)-5
3x²+ 5x-5
The statement "a is not more than b" is the same as a > b.
True
False
Answer:
False
Step-by-step explanation:
A > B means A is greater than B, so A is not more than B is false.
If A is directly proportional to B and B = 5 when A = 6.
(a) Find the value of B when A=4.
(b) Find the value of A when B = 2.
(c) Sketch the graph of A against B.
Answer:
good question
but I don't know
please I am so sorry
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which ratio is not equivalent to the others?
A. 27:45
B. 1520
C. 9:15
D. 3 to 5
Answer:
B. 15:20
Step-by-step explanation:
The simplest of all ratios is 3 to 5 since they are prime numbers; therefore, all the ratios but 1 will equal to 3 to 5.
Ratio A: 27 and 45 have a common factor of 9 so when you do (27 ÷ 9) to (45 ÷ 9) you get 3:5.
Ratio B: 15 and 20 have a common factor of 5, so when you do (15 ÷ 5) to (20 ÷ 5), you get 3:4. 3:4 is not equivalent to 3:5.
Ratio C: 9 and 15 have a common factor of 3, so when you do (9 ÷ 3) to (15 ÷ 3), you get 3:5.
The only one that isn't equivalent to 3:5 is B.
Hope this explanation helps :)