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.
5. Simplify: 2/5 +3/7+(-6/5)+ (-13/7)
Answer: -78 / 35
Step-by-step explanation:
Given
2/5 + 3/7 + (-6/5) + (-13/7)
Combine terms that have the same denominator
= 2/5 + (-6/5) + 3/7 + (-13/7)
= -4/5 - 10/7
Convert denominator by Least Common Multiple (LCM)
= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)
= -28/35 - 50/35
= -78 / 35
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex] \frac{2}{5} + \frac{3}{7} + ( - \frac{6}{5} ) + ( - \frac{13}{7} ) \\ \frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7} \\ ( \frac{2}{5} - \frac{6}{5} ) + ( \frac{3}{7} - \frac{13}{7} ) \\ \frac{2 - 6}{5} + \frac{3 - 13}{7} \\ \frac{ - 4}{5} + \frac{ - 10}{7} \\ \frac{ - 4}{5} - \frac{10}{7} \\ \frac{ - 28 - 50}{35} \\ \frac{ - 78}{35} \\ - \frac{78}{35} [/tex]
Which of the following angles is in standard position?
Answer:
C)
Step-by-step explanation:
Standard position for an angle means that the initial side is the positive x-axis.
Answer: C)
Answer:
C
Step-by-step explanation:
Angles in standard position have a vertex at the origin and one ray is on the positive x axis
Determine the period
Answer:
10
Step-by-step explanation:
acellus
The period of the given graph is 10.
Use the concept of a period of function defined as:
One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.
In the given wave,
X-axis represents time
The Y- axis represents the amplitude of the curve
As we can see,
The first peak of this graph is located at x = 1 and the second peak is at,
x = 13
Since the period is the time interval between two consecutive peaks in a graph.
In this case, the time interval is 10.
Hence,
The period of the given graph is 10.
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A sandwich shop offers a choice of 5 types of bread, 4 types of meat, and 3 types of cheese. How many different sandwiches could be made with 1 type of bread, 1 type of meat, and 1 type of cheese?
Answer:
12 type of bread 1 type of meat, 1 type of cheese and 1 type of bread.☺️☺️
Correct answer gets brainliest and 5 stars
Answer:
A is false
Step-by-step explanation:
notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.
basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.
Answer:
(I'll leave cm out to save space and time in the answer)
the perimeter is 500, there are 5 sides. so on average a side will be 100.
that's already the important key idea.
it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).
repeat this for the 1. and 5. side and we get:
80
90
100
110
120
Which of the following is a monomial?
9/x and 20x⁹ are the monomials.
The correct option A and D.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
A monomial is a polynomial with just one term.
From the given choices:
9/x and 20x⁹ are the monomials.
11x - 9 and 20x⁹ -7x are the binomial.
Therefore, A and D are the monomials.
To learn more about the Polynomials;
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help please!! i need to find the value of x
Answer:
The measure of angle JKM is:
JKL - MKL = JKM
⇒80°-25°=55°
so measure of angle JKM is 55°
Step-by-step explanation:
Tanui had 2 hectares of potatoes. He later added 1 more hectare of potatoes.What was the percentage increase of the area under potatoes
In circle O, the length of OB is 6 inches, and the measure of ∠AOB is 120°. What is the length of arc AB, in inches (show your answer in terms of π)? *
Answer:
4π inches
Step-by-step explanation:
Formula for finding length of arc AB = θ/360*2πr
Where,
Central angle (θ) = 120°
Radius (r) = 6 inches
Length of arc AB = 120/360*2*π*6
Length for arc AB = ⅓*12π
= 4π inches
Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?
Answer:
780
Step-by-step explanation:
Let x be the original price
x - x*72% is the new price
x - .72x = 218.40
.28x = 218.40
Divide each side by .28
.28x/.28 = 218.40/.28
x =780
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!!
A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that attends. Write an equation where d is the total donation and p in the number of people that attend.
A. d=4p+200
B. d=4+200p
C. p=4+200d
D. p=4d+200
Answer:
A. d=4p+200
Step-by-step explanation:
The reason why this is, is because d is the total amount, equaling to 4 times p due to the fact that it is $4 for each person that attends.
If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.
0.2239
-0.2237
0.2237
0.4951
Answer:
Step-by-step explanation:
We are looking for the probability that (-1.10 < z < -.36)
The z score for -1.10 = .13567 and
the z score for -.36 = .35942
To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%
the volume of a cube that is 6 units on an edge in exponential form
Answer:
[tex] {6}^{3} = 216[/tex]
please help, will give brainliest!!!
Answer:
Find the domain by finding where the equation is defined.
Interval Notation:
(−∞,−4)∪(−4,7)∪(7,∞)
Set-Builder Notation:
{x|x≠−4,7}
Step-by-step explanation:
Answer:
all real numbers except x=-4 or x = 7
Step-by-step explanation:
The domain is the numbers that x can take
We have restrictions for this problem
the denominator cannot be zero
x^2 -3x-28 cannot be zero
(x-7)(x+4) ≠ 0
x-7≠0 x+4≠0
x≠7 x≠-4
Otherwise all real numbers are valid
10. What is the correct trigonometry ratio to solve for x?
х
52°
20
Step-by-step explanation:
tan y = opposite/adjacent
so, tan 52° = 20/x
Answer:
tan(52) = 20/x
Step-by-step explanation:
tan(x) = opposite leg / adjacent leg
tan(52) = 20/x
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. What is the constant of proportionality in this direct variation?
A. 1/5
B. 5
C. 1
D. 1/25
Answer:
1/5
Step-by-step explanation:
because multiply any different copies by 1/5 to get the cost of the print shop
can any one explain how to look for d direction of a vector .
Answer:
The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C, 832 units²
Step-by-step explanation:
l = 8
w = 7
h = 24
Surface area = 2(wl+hl+hw)
=2×(7×8+24×8+24×7)
=832 units²
Answer: YO ITS ANSWER C)832 UNITS[tex]^{2}[/tex] !!!!
1: solve 2/5×1/3-3/7×5/9+2/5×1/8
2:2x-3=x+2
plesswe
What is the exact value of the trigonometric expression?
tan (7π/4)
a) -√2/2
b)1
c)-1
d)√2/2
Which set is of whole numbers but not natural numbers?
Step-by-step explanation:
The set of Natural numbers: {1, 2, 3, 4, 5, ...}
The set of Whole numbers: {0, 1, 2, 3, 4, 5, ...} ← it has the number 0
Na função y = x² - 2x +1, temos que a = 1, b = -2 e c = 1, calcule as coordenadas do vértice da parábola
Answer:
(1, 0)
Step-by-step explanation:
x = -b / 2a
x = 2 / 2(1)
x = 2 / 2
x = 1
y = x^2 - 2x + 1
y = (1)^2 - 2(1) + 1
y = 1 - 2 + 1
y = -1 + 1
y = 0
vértice: (1, 0)
Divide. Write your answer as a fraction in simplest form. − 1/5÷20=
Answer:
-0.01
Step-by-step explanation:
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Answer:
-0.01
Step-by-step explanation:
I need help with this question
Answer:
m
Step-by-step explanation:
PLEASE HELP ME WITH THIS !!!
9514 1404 393
Answer:
(x -2)^2/16 +(y +2)^2/4 = 1
Step-by-step explanation:
The equation of an ellipse is ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
where (h, k) is the center, and 'a' and 'b' are the semi-axes in the x- and y-directions respectively.
Here, we have (h, k) = (2, -2), and a=6-2 = 4, b = 0-(-2) = 2. Then the equation is ...
((x -2)/4)^2 +((y +2)/2)^2 = 1
More conventionally, the denominators are multiplied out, so this is ...
(x -2)^2/16 +(y +2)^2/4 = 1
Find the slope of the line that passes through (26, 15) and (1, 86).
Answer:
-71/25
Step-by-step explanation:
We can use the slope formula when given two points
m = (y2-y1)/(x2-x1)
m = (86-15)/(1 -26)
= 71/-25
= -71/25
Answer:
[tex]\displaystyle m = \frac{-71}{25}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (26, 15)
Point (1, 86)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{86 - 15}{1 - 26}[/tex]Subtract: [tex]\displaystyle m = \frac{71}{-25}[/tex]b - 8 = 9
---------------
Answer:
b-8=9
b=9+8
b=17
Step-by-step explanation:
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Answer:
b=17
Step-by-step explanation:
b-8=9
first isolate the variable by adding 8 to both sides
this gives us
b=17
write the expression fourteen added to the product of seven and a number
Answer:
(7×x)+14
Step-by-step explanation: Because we have 14 added to something, we will need a + to whatever we are adding to. The product of 7 and a number is 7×x because product is the number you get after multiplication. So we get 7×x+14. You dont need parenthesis
Hope this helps!
What is the angle of C?
Answer:
50°
Step-by-step explanation:
65 + 65 +C = 180
130+C = 180
C = 180 - 130 = 50
Hi there!
[tex]\large\boxed{C = 50^o}[/tex]
A line contains an angle of 180°, so:
∠C = 180° - 65° - 65°
∠C = 180° - 130°
∠C = 50°
