Answer:
10 combinations
Step-by-step explanation:
Given
[tex]n = 5[/tex] --- total production
[tex]r = 3[/tex] --- aircraft to select
Required
The total number of combination
The number of combination is calculated using:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^5C_3 = \frac{5!}{(5 - 3)!*3!}[/tex]
[tex]^5C_3 = \frac{5!}{2!*3!}[/tex]
Expand
[tex]^5C_3 = \frac{5*4*3!}{2*1*3!}[/tex]
[tex]^5C_3 = \frac{5*4}{2*1}[/tex]
[tex]^5C_3 = \frac{20}{2}[/tex]
[tex]^5C_3 = 10[/tex]
On a coordinate map of the school cultural festival, the information booth is located at (4,5). The ticket booth is located 4 units north of the information booth. What ordered pair represents the location of the ticket booth? A-(0,5), B-(8,5), C-(4,9), D-(4,1)
Answer:
B.
Step-by-step explanation:
please help i need it!!!
Answer:
9
Step-by-step explanation:
Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line
m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
The line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = - x + 9 ← equation of line
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth is necessary.
Answer:
V = 29.31 cm^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 (3.14) (2)^2 (7)
V =29.30666
Rounding to the nearest hundredth
V = 29.31 cm^3
What is the explicit formula of the geometric sequence? 5,-15,45,-135
Answer:
Tn=a(-3)^(n-1)
where a is first term and n is number of terms
Step-by-step explanation:
r=-3
5. Today, everything at a store is on sale. The store offers a 20% discount.
a. The regular price of a T-shirt is $18. What is the discount price?
b. If the regular price of an item is x dollars, what is the discount price in dollars?
C. The discount price of a hat is $18. What is the regular price?
Answer:
Step-by-step explanation:
20% = 20/100 = 0.2
The amount you need to pay for a T shirt is
Cost = original amount(100% - 20%)
Original amount = 18
100% - 20% = 80%
80% = 80 / 100 = 0.8
What this means is that you will pay 80% of the original cost.
Cost = 18*0.8
Cost = $14.40
Part B
Cost = 0.8 * x
Part C
Selling price = 0.8*Original Cost
Selling price = 18
18 = 0.8 * x
18/0.8 = x
x = 22.5
The original price was $22.50
The perimeter of a rectangle is 64 cm. The length is 15 cm, how wide is rectangle?
Answer:
17 cm
Step-by-step explanation:
Rectangle perimeter: length*2 + width*2
Substitute width with "x".
Length is given as 15 cm
Perimeter is given as 64 cm
Plug in the values and solve for x.
64 = 2*15 + 2x
64 = 30+2x
2x = 34
x = 17
so width is 17 cm
Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢ for each mile over 250. For what number of miles traveled in one day would the unlimited mileage plan save Lia money? (Show work)
9514 1404 393
Answer:
more than 410
Step-by-step explanation:
For x miles, the second plan costs ...
p2 = 50 +0.25(x -250)
For the first plan to be cheaper requires ...
p1 < p2
90 < 50 +0.25(x -250)
40 < 0.25(x -250) . . . . . . subtract 50
160 < x -250 . . . . . . . divide by 0.25
410 < x . . . . . . . . . add 250
For more than 410 miles in one day, the unlimited plan would save money.
I NEED HELP!! THIS MY FINAL!
Answer:
13.5
18.1
72.2
12.8
6,2
66.1
49.1
14
31.8
Step-by-step explanation:
In solving this question, remember the annotation SOHCAHTOA
1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value
Cos 26 = Adjacent / hypotenuse
cos 26 = x / 15
x / 15 =0.8988
x = 15 x 0.8988 = 13.5
2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value
Sin = opposite / hypotenuse
sin 49 = x / 24
0.7547 = x / 24
x = 0.7547 x 24
x = 18.1
3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value
Tan = opposite / adjacent
tan 14 = 18 /x
18 / 0.2493 = 72.2
4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value
cos 67 = opposite / hypotenuse
0.3907 = 5/x
x =5/ 0.3907 = 12.8
to determine the missing angle
7. tan^-1 = opposite / adjacent
8. cos^-1 = adjacent / hypotenuse
9 = sin^-1 = opposite / hyotensue
What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
B Find the missing length of each side marked with ? in Polygon B.
C Determine the measure of each angle marked with ? in Polygon A.
Answer:
for the lengths, just double the numbrrs
1.5 -> 3
2.5 -> 5
bc the scale factor is two (the upper edge is given)
the angles are just the same, no matter the zoom factor
There are two polygons where B is greater than A.
One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.
So, the scale factor is
[tex]\dfrac{5}{2.5}=2[/tex]
So, the missing sides in polygon B are
[tex]1.5\times2=3[/tex]
[tex]2.5\times 2=5[/tex]
The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.
So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].
Learn more:
https://brainly.com/question/16315840
https://brainly.com/question/13156698
what type of angle is this?
Answer:
obtuse angle
Step-by-step explanation:
Tiana's birthday party costs $2 for every guest she invites. How many guests can there be,
at most, if Tiana can afford to spend a total of $8 on her birthday party?
guests
Answer:
ok so if it cost 2 dollars per guest here what that would look like
1 guest:2$
2 guest:4$
3 guest:6$
4 guest:8$
so she can invite 8 guest
Answer:
4 guest
Step-by-step explanation:
2 dollars for every guest and the budget is $8 so, $2 x 4 guest meets the budget of $8
What is the slope of the line that contains the points (-2, 2) and (3, 4)?
O A.
-
5
2
B.
UIN
O c.
O D.
Answer:
2/5
Step-by-step explanation:
(-2 , 2) = (x1 , x2)
(3 , 4) = (x2 , y2)
slope = y2 - y1/x2 - x1
=4 - 2/3 - (-2)
=2/3+2
=2/5
The y-coordinate if you move five units up from the ordered pair (22, 23)
Hi there!
»»————- ★ ————-««
I believe your answer is:
28.
»»————- ★ ————-««
Here’s why:
A translation rule can be used to find the result of the point after it's found 5 units above.⸻⸻⸻⸻
[tex]\boxed{(x,y) \rightarrow (x, y + 5)}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Applying the translation rule to the point:}}\\\\(22, 23) \rightarrow (22, 23 + 5)\rightarrow(22,\boxed{28})[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Brainiest and 10 points
Answer:
the answer is 4.9
Answer:
12.25 ÷ 2.5= 4.9
the 3rd box
The step function f(x) is graphed. What is the value of f(0)? -2 -1 0 1
Answer:
0
Step-by-step explanation:
It is less than 100 and greater than 10. You use a total of 10 base ten blocks to show this number. The number of ones block is greater than the number of ten blocks. One of the digits is 7.
Answer:
70
Step-by-step explanation:
Find the value of t in rhombus WXYZ.
х
40
W
Y
t+930
N
9514 1404 303
Answer:
t = 31°
Step-by-step explanation:
Opposite angles of a rhombus have the same measure:
4t = t +93°
3t = 93° . . . . . subtract t
t = 31° . . . . . . .divide by 3
Answer:
t= 31°Step-by-step explanation:
hope it helps much too
A 40 g ball of yarn is 125 m long. What is the mass of a ball of the same yarn that is 2 km long?
Answer:
640g
Step-by-step explanation:
1000m=1km so 125m times x= 2km x is 16 so we multiply 16 by 40 to get 640 g
The mass of 2 km long yarn ball is 640.
What is mass?A measure of how much matter is in an object. This gold bar is quite small but has a mass of 1 kilogram (about 2.2 pounds), so it contains a lot of matter.
Given
40 g ball of yarn is 125 m long
To find mass for 2 km = 2000 m long yarn
[tex]\frac{40}{125} \ 2000[/tex] = [tex]\frac{80000}{125}[/tex] = 640g
Hence, The mass of 2 km long yarn ball is 640.
Learn more about mass:
https://brainly.com/question/19694949
#SPJ2
is this table a function? PLEASE HELPPP
Answer:
It is a function.
Step-by-step explanation:
I would suggest use the website Desmos.
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
MARK AS BRAINLIESTUse the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A
Answer:
See explanation
Step-by-step explanation:
Given
The attached triangle
Required
Complete the ratios
(a) sin B
[tex]\sin(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(B) = \frac{b}{c}[/tex]
(b) cos B
[tex]\cos(B)[/tex] is calculated as:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(B) = \frac{a}{c}[/tex]
(c) tan B
[tex]\tan(B)[/tex] is calculated as:
[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(B) = \frac{b}{a}[/tex]
(d) tan A
[tex]\tan(A)[/tex] is calculated as:
[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(A) = \frac{a}{b}[/tex]
(e) cos A
[tex]\cos(A)[/tex] is calculated as:
[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(A) = \frac{b}{c}[/tex]
(f) sin A
[tex]\ain(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\sin(B) = \frac{a}{c}[/tex]
Find cos0, where 0 is the angle shown. Give an exact value, not a decimal approximation. (listing BRAINLEST)
Step-by-step explanation:
everything can be found in the picture
A kite is flying 99 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 62º. Find the length of the string. Round your answer to the nearest tenth. (plz help)
Is I’m doing this right guys
Answer:
Yes you are.
Step-by-step explanation:
Just keep plugging in the values for x. Good job.
yes you r doing it right
3/4 *0=0
1. The table represents values when input into a function f(x). What is the average rate of change of f(x)
from x = 2 to x=6? Show your work.
Answer:
Step-by-step explanation:
[tex]Rate \ of\ change =\frac{f(6)-f(2)}{6-2}[/tex]
[tex]=\frac{11-(-5)}{6-2} =\frac{11+5}{4}=\frac{16}{4}=4[/tex]
Find the area of a trapezium which has 6cm,5cm and 4cm
Answer:
28 sq. cm
Step-by-step explanation:
Area of a trapezium
= height * (base + top)/2
= 4 (6+8)/2
=28 sq. cm.
What is the value of x?
Answer:
i think its 29
Step-by-step explanation:
180-64=116
116/2=58
58/2=29
Answer:What is the value of x?
Step-by-step explanation: x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
The coordinate grid represents the school playground. Which of the following accurately describes the location of a playground area? Select all that apply.
Answer:
the answer is the first one
Step-by-step explanation:
the slide is 2 under left and 4 units up from the soccer field
Find the perimeter of the figure below, in feet.
8.eft
6.6 ft
16.6A
6.6 ft
6.6 ft
eft
2 ft
6.6 ft
6.6 ft
12.4ft
12.4ft
8.2 ft
Answer:
not entirely sure but my answer is 87.6ft.
for the perimeter of the shape.
Step-by-step explanation:
I cut out the extra square-ish pieces of the sides and found
that both are 17.2 for their perimeter. so 17.2×2= 34.4
then I found the perimeter of the sides of the rectangular shape and the sides were both 18.4ft. so 2(18.4+8.2)= 53.2.
so 53.2+34.4 = 87.6ft.
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
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