Answer:74613
Step-by-step explanation:
n!/r!(n-r)!
22!/6!(22-6)!
=74613
What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100
Answer:
-2
Step-by-step explanation:
Need help with this question plz
simplify 12a^7b^5/16a^2b^2
Answer:
[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]
A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a constant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.
Answer:
Step-by-step explanation:
A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds
V = U + at
1.2u = u + a*10
=> a = 0.02u
S= ut + (1/2)at²
Distance in 1st 10 secs
S = u(10) + (1/2)(0.02)(10)²
=> S = 10u + u
=> S = 11u m
Constant speed 1.2u for 15 secs
S = 1.2u * 15
=> S = 18u m
Total Distance Covered d = 11u + 18u = 29u m
If (x - 3) represents the side of a cube, what is the
polynomial that represents its volume?
Answer:
x³ - 9x² + 27x - 27
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side ) , thus
V = (x - 3)³
= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL
= (x - 3)(x² - 6x + 9) ← distribute
= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms
= x³ - 9x² + 27x - 27
A and B are two similar solids.
15 cm
10 cm
The volume of A is 400 cm.
十
工
Work out the volume of B.
Similarity - Area and Volume
View One Minute Version
Overview
Answer:
600cm3 the 3 is ment to be cubed
Step-by-step explanation:
£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?
Answer:
The answer would be £198
principal (p) = 2200
Rate (R) = 0.5%
Time (T) = 18
Interest(I) = ?
Now,
or, Interest. = P×T×R/100
or, Interest = 2200×18×0.5/100
or, Interest = 19800/100
Hence, Interest = 198
Which of the following statements is/are true regarding the figure above?
Check all that apply.
A. It is a one-dimensional object.
B. It is a line segment.
C. It is a zero-dimensional object.
D. It is a point.
Find the value of z and
simplify completely.
Answer:
z = 6√2 = 8.49
Step-by-step explanation:
In this question, we are to find the value of the length z.
Mathematically, using Pythagoras’s theorem we can do this.
The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.
Kindly note that the hypotenuse is the side that faces the angle 90
These are the points needed to solve for z
Using Pythagoras,
z^2 = y^2 + 4^2
z^2 = y^2 + 16 •••••••(i)
x^2 + z^2 = 20^2
x^2 + z^2 = 400 •••••••••(ii)
z^2 + 16^2 = x^2. ••••••••(iii)
Substitute iii into ii
z^2 + 16^2 + z^2 = 400
2z^2 + 256 = 400
2z^2 = 400-256
2z^2 = 144
z^2 = 72
z = √(72)
z = 6√2
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the street. The house must be set back 30 feet from the street. It also must be 20 feet from the back lot line and 10 feet from each side lot line. What is the greatest area that the house can have, in sq feet?
Answer:
250 sq ft
Step-by-step explanation:
Since the shorter side is along the street and the setback is 10ft from each side, the house is 50 ft wide
and 100 -20 -30 = 50 ft long
50 x 50 = 250 sq ft
The greatest area of the given house is 2500 square feet.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
To find the greatest area that the house can have, you need to determine the dimensions of the house.
The width of the house will be the distance between the two side lot lines, which is 70 feet - 10 feet - 10 feet = 50 feet.
The depth of the house will be the distance between the front and back lot lines, which is 100 feet - 30 feet - 20 feet = 50 feet.
The area of the house is :
50 feet x 50 feet = 2500 sq feet.
This is the greatest area that the house can have.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ2
PLS HELP ME!!!! ASAP I WILL MARK BRAINLIEST!!!!!!
Answer:
(-3)^3 x^5
Step-by-step explanation:
x*x*x*x*x *(-3)*(-3)*(-3)
There are 5 x terms
x^5
There are 3 (-3) terms
(-3)^3
Multiply theses together
(-3)^3 x^5
The right answer is (-3)^3 x^5
please see the attached picture for full solution
hope it helps...
Good luck on your assignment..
Which is the solution to the inequality?
Answer:
C
Step-by-step explanation:
y is greater than or equal to 14.
Answer:
Option C
y _> 14
Step-by-step explanation:
here, y is greater than or equal to 14
I need to match each one to each other
Answer
speed : metres per second (a)
perimeter : meters (b)
volume : cubic centimetres (d)
area : square metres (c)
A family pays $8.00 to park at a concert. Tickets for the concert cost $13.50 per person. The family spent a total of $89.00 for parking fees and tickets to the concert. The situation can be modeled by the equation 89 = 13.5n + 8, where n represents the number of tickets purchased. How many concert tickets did the family purchase? Tickets=
Answer:
n=6
Step-by-step explanation:
13.5n + 8 = 89
13.5n = 89 - 8
13.5n = 81
13.5n/13.5 = 81/13.5
n = 6
I hope this helps
Answer:
n=6
Step-by-step explanation:
i did it on edg 2020
A 350 m cable is attached to the top of the tower. The angle of elevation to the top of the tower is 60. How high is the tower in meters
Answer:
303
Step-by-step explanation:
sin 60 = x / 350
x = 350(sin60) = 303.1
In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a loss. In a particular season, a team played 34 games and lost 6 games. If the team had a total of 70 points at the end of the season, what is the difference between games won and games lost?
Answer:
The difference between games won and games lost is 15.
Step-by-step explanation:
Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:
[tex]win + draws = 28[/tex]
Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:
[tex]3*win + draws = 70\\[/tex]
We now have a system of equations, which we can solve.
[tex]win + draws = 28\\3*win + draws = 70\\[/tex]
Multiplying the first equation by -1:
[tex]-win- draws = -28\\3*win + draws = 70[/tex]
Adding both equations:
[tex]2*win = 42\\win = 21[/tex]
Since the team won 21 games and lost 6, the difference is 15.
HELP ASAP
15 POINTS
If the plane intersects the cylinder vertically along an edge of the cylinder, the cross section is
A. Circle
B. Line
C. Rectangle
D. Oval
Answer:
Option C.
Step-by-step explanation:
Cross section: In three-dimensional space, the non-empty intersection of a solid body and a plane is known as cross section.
A cylinder has two circular plane surface called edges (top and bottom) and curved surface.
If the plane intersects the cylinder vertically along an edge of the cylinder, then the plane is perpendicular to both edges and we get two pairs of opposite sides which are equal.
It means, the cross section of plane and cylinder is a rectangle.
Therefore, the correct option is C.
Which graph represents an odd function? On a coordinate plane, a function has two curves. The first curve is in quadrants 2 and 3 and has a minimum value of (negative 1, negative 3). The curve intersects the x-axis at (negative 2, 0) and goes to (0, 0). The second curve is in quadrants 1 and 4 and has a minimum value of (1, negative 3). The curve starts at (0, 0) and intercepts the x-axis at (2, 0). On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0). On a coordinate plane, a v-shaped function opens up. The function goes through (0, 2), has a vertex at (2, 0), and goes through (5, 3). On a coordinate plane, a curve has a maximum point at (0.5, 1) and a minimum point at (2, 0). The curve goes through points (0, 0) and (3, 4).
Answer:
On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0)
Step-by-step explanation:
An odd function is symmetrical about the origin. It will satisfy the relation ...
f(-x) = -f(x)
Of the given points, the set that is symmetrical about the origin is found on the 3rd graph:
(-4, 0), (0, 0), (4, 0)
Answer:
B on edge
Step-by-step explanation:
took the test
In your own words what is a polygon
Answer:
A polygon is a plane figure with at least three straight sides and angles, and typically five or more.
Step-by-step explanation:
The price of a gallon milk was $2.65 the price rose why dollars after the last hurricane then the price dropped $.15 and later Rosie came by five cents which expression represents the current price of milk
Answer:
p = y + 2.55
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and later rose again by $0.05. Which expression represents the current price of milk
My answer:
Let p is the price of milk
Given the information:
Stage 1: The price of a gallon milk was $2.65<=> p = 2.65
Stage 2: rose y dollar<=> p = 2.65 + y
Stage 3: price dropped $.15<=> p = 2.65 + y - 0.15
Stage 4: rose again by $0.05<=> p = 2.65 + y - 0.15 + 0.05
<=> p = y + 2.55
Hope it will find you well.
If f(x) = 5x + 40, what is f(x) when x = –5? pls help a. -9 b. -8 c. 7 d, 15
Answer:
D.
Step-by-step explanation:
f(5) = -25 + 40
f(5) = 15
Answer:
The answer is D) 15
Step-by-step explanation:
F(x)= 5x + 40 (substitute -5 for x)
= F(x)= 5(-5)+ 40
= F(x)= -25+40
F(x)= 15
How do I figure out how many combinations there are.
Answer:
multiplying and dividing
Step-by-step explanation:
If you solve this, you are a critical thinker:
Mr. Smith had 4 daughters. Each daughter had 4 brothers. How many kids does Mr. Smith have?
Let's organize what the problem gives us:
Mr. Smith had 4 daughters.Each daughter had 4 brothers.We want to find how many kids Mr. Smith has.Step 2: WorkWe can already tell that the initial amount of kids Mr. Smith has before we factor in the brother count is equal to 4, for the 4 daughters that were stated as a given in the problem.
Now, the tricky part comes in the form of "each daughter had 4 brothers." Remember that within a family, everyone has the same siblings. It doesn't matter which family member's perspective you are looking from, but your siblings will always stay the same. We can show this with an example:
Suppose I had a family of 4 kids total. I had 2 daughters and 2 sons. Their names were Rose, Sakura, David, and Andrew. Rose would then have 3 siblings: Sakura, David, and Andrew. Sakura would also have 3 siblings: Rose, David, and Andrew, so on and so forth.
Applying this example and knowledge to our current problem, if Mr. Smith's daughters each had 4 brothers, then the total number of kids Mr. Smith has is 8 total kids (4 daughters + 4 sons) since each daughter's brother would be the same sibling.
This would be called double-counting if you counted that each daughter would have 4 different siblings, resulting in a false answer of 16 kids (4 daughters multiplied by 4 brothers for each daughter).
Answer∴ Mr. Smith has 8 kids.
___
Topic: Math
Unit: ?
Select the correct answer.
What is the sum of
-6 4/5 and 6 4/5?
A. 12 4/5
B. 29/5
C. 0
D. -12 4/5
Answer:
0
Step-by-step explanation:
got it right on plato
Answer:
0
Step-by-step explanation:
hopes this helps may yall like and give me 5 stars
PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.
Answer:
Angle
Step-by-step explanation:
What is the inverse of the function f(x) =1/4x – 12?
Answer:
f(x) = 4x + 48
Step-by-step explanation:
Replace the positions of x and y and isolate y to find the inverse of a function.
y = 1/4x – 12
x = 1/4y – 12
x + 12 = y/4
4(x + 12) = y
4x + 48 = y
f(x) = 4x + 48
6x^3-x^2 +17 = 2x^2 + 47
Answer:
Solve the rational equation by combining expressions and isolating the variable x
.
x≈1.89393154
Step-by-step explanation:
please mark brainly
what is the c value?
answer in x= form
Hidaya runs each lap in 8 minutes. She will run less than 72 minutes today. What are the possible numbers of laps she will run today? Use n for the number of laps she will run today. Write your answer as an inequality solved for n.
Answer:
Step-by-step explanation:
n*8<72
:8 :8
n<72/8
n<9
n could be 1,2,3,4,5,6,7,8
Helpppp meeeeee plsssssss
Answer:
a)3⁴
b)7⁵
c)10²
d)5⁷
Step-by-step explanation:
a)3²×3² = 3^2+2=3⁴
b)7×7⁴=7¹×7⁴=7^1+4=7⁵
c)10⁹÷10⁷=10^9-7=10²
d)5⁸÷5=5⁸-5¹=5^8-1=5⁷
