Answers
Answer:
First one is the answer of the question u asked
Answer:
Option a: ∑⁵(n−1)! is the correct answer.
n=²
Step-by-step explanation:
Option a: ∑n=25(n−1)
By substituting the values of n and expanding the summation, we have,
(2−1)!+(3−1)!+(4−1)!+(5−1)!
Subtracting, we have,
1!+2!+3!+4!
Expanding the factorial,
1+(2∗1)+(3∗2∗1)+(4∗3∗2∗1)
Simplifying, we get,
1+2+6+24
Thus, the summation ∑⁵ (n−1)! represents the
n=2
series 1+2+6+24
Hence, Option a is the correct answer.
Related Questions
The store opened at 8:15 a.m. and closed at 11:45 p.m. how long was the store opened?
Answers
Answer:
3 hours and 30 minutes
Step-by-step explanation:
8:15+3=11:15
11:15+30=11:45
Answer:
15 hr 30 min
Step-by-step explanation:
8:15 - 9 am = 45 min
9 am to 11 pm = 14 hours
11pm - 11:45 pm = 45 min
90 min = 1 hr 30 min
14 hr + 1 hr 30 min = 15 hr 30 min
help me out here guys
Four functions are listed below.
f(x) | (x^2-4) (x-1)
g(x) | (x+4) (x-6)
h(x) | (x^2+6)
k(x) | x (x^2-25)
Which two functions, when graphed, have the same number of x-intercepts?
A.
f(x) and g(x)
B.
g(x) and h(x)
C.
h(x) and k(x)
D.
k(x) and f(x)
Answers
f(x) can be written as (x+2)(x-2)(x-1)
by using difference of two squares to expand x^2 - 4 whch yields 3 x intercepts
similarly, k(x) can be written as
x(x+5)(x-5) which also yields 3
x intercepts (0,-5, and 5)
A cube of side 3cm contains a sphere within it.if the sphere touches each face of the cube,find the volume of the space between the cube and the sphere
Answers
Answer:
6.86cm^3
Step-by-step explanation:
In order to do this problem you must first find the volume of the cube and subtract the volume of the sphere within it.
Volume of a cube is S^3
using the given 3×3×3= 27cm^3 volume of cube
volume of a sphere is 4/3 pir^3
4/3 × pi x 1.5^3 = 14.14cm^3 volume of sphere
now simply subtract
27-14.14= 6.86 cm^3
find the surface area of the composite figure. 5 cm 6 cm 4 cm 20 cm 12 cm R6 cm 5 cm 4 cm
help pls fast
Answers
Answer:
644 cm^2
Step-by-step explanation:
20*5*2 = 200
6*5*2 = 60
20*6 = 120
6*8 = 48
12*4*2 = 96
6*4*2 = 48
12*6 = 72
Write inequalities to represent the situations below.
1.
At the airport, each piece of luggage to be checked in must not weigh more than 40 pounds.
Use w to represent the weight (in ponds) of a piece of luggage that can be checked in.
2. The distance to the nearest exit door is at most 200 ft.
Use d to represent the distance (in feet) to the nearest exit door
Answers
This composite figure is made up of three simpler shapes. What is the area of
the figure? PLEASEE I NEED HELP
Answers
Answer:
D.94 square centimeters
Step-by-step explanation:
(10×4) + (8×6) + (1/2×6×2)
= 94 cm^2
Answer:
D. 94 square centimeters
Step-by-step explanation:
It mentions the composite figure is made up of three simpler shapes.
Area (figure) = Area (parallelogram) + Area (rectangle) + Area (triangle)
10 x 4 + 8 x 6 + 1/2 x 6 x 240 + 48 + 688 + 694 square centimetersThe diagram shows a regular pentagon.
a)
Work out the sum of the interior angles.
b)
Work out the size of one interior angle.
Answers
Answer:
a) 540° b) 108°
Step-by-step explanation:
Formula: (n-2)×180°
a) (5-2)×180°
3×180°=540°
b) 540°÷5=108°
n means nr of sides
7
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math
math geniuses pls help!!!
——
pls check other questions as well thanks,!
Answers
Answer:
The time spent by a physician with a patient
Step-by-step explanation:
Option C is the answer
Determine the equation of the circle graphed below.
Answers
Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2
(h, k) = center of the circle
r = radius of the circle
Center = (2, 0)
Radius = 7
Equation: (x - 2)^2 + (y - 0)^2 = 49
Answer: (x - 2)^2 + y^2 = 49
Hope this helps!
Susan, Frank, and Dan sent a total of 83 text messages over their cell phones during the weekend. Susan sent 7 more messages than Frank. Dan sent 4 times
as many messages as Susan. How many messages did they each send?
Number of text messages Susan sent:
Number of text messages Frank sent:
Number of text messages Dan sent:
Answers
Step-by-step explanation:
Susan message=34.66
Frank message=27.6
Dan message=28
Tom volunteered 1 out of the last 12 days at the school store. Which shows the decimal form of this ratio?
Answers
Answer:
0.0833
Step-by-step explanation:
1 out of 12 can be written as a fraction 1/12
Now we convert the fraction to a decimal with division. Using long division the 12 goes outside the division symbol and 1 on the side. 12 doesn't go into 1 so we add a decimal to the answer and a 0 after the 1. 12 doesn't go into 10 so we add another 0. 12 goes into 100 8 times. 8 goes on top after 0.08 and then we finish the long division. We would have 4 remaining. Add another 0. 12 goes into 40 3 times. This is then where the division becomes repetitive. With more threes. Depending on where youryou're supposed to Round to the answer is 0.0833
SOMEBODY PLS HELP ME
Answers
Answer:
I would say 6m because i measured the side that is labeled 6m, and DE is also 6m.
( I hope I'm right ^^)
( I hope this helps ^^)
How do I write 780,000 in scientific notation.
I’m having finals and I need lots of help pls explain how u got it answer
Answers
the scientific notation is just another mumble jumble way to write the same thing without so many repetitive zeros, so hmmm 780000 has 4 zeros, so what we do is we can say
78 and 4 zeros following it
or we can say
78 * 10⁴, if we get that product, is 780000
in scientific notation, we only leave one digit to the left of the decimal point
so the same thing above can be written as
78 * 10000, can be written as 78.0 * 10000
or as
7.8 * 100000
or as
0.78 * 1000000
check their product
7.8 * 100000, is really just 780000
because we moved the decimal to the left one more slot, it
became 7.8 * 100000
or in
scientific notation, 7.8 ⨉ 10⁵Answer:
780,000 [tex]=7.8 * 10^5[/tex]
Step-by-step explanation:
Don't worry! I hope you do great on your finals, goodluck<3.
What is scientific notation?It's a way of expressing numbers that are either too large or too small.The formula for scientific notation is written as shown below:[tex]a * 10^{b}[/tex]
Variable A represents a number thats absolute value has to be greater than or equal to 1 and less than 10. This is represented below
1 ≤ | a | < 10
Therefore we know that 780,000 will be 7.8, because it is greater than 1 and less than 10 as well can still represent our original number.
[tex]7.8 * 10^b[/tex]
Assuming you know how powers work, if not I'll go over them very quickly.
What is an exponent?An exponent(also called a power or indices) is a tells you how many time you are going to use the number in multiplying a number by itself.For example 8² = 8 * 8, 8³ = 8 * 8 * 8.
To find what the exponent will be is pretty simple, you take 780,000 and identify what place our number is in.what I mean by this is if its in, tenths, hundreths, thousands, 10 thousands..
It's pretty obvious that our number is in the 100 thousands place.
Now if you know you're powers pretty well, this will be easy, although let me try to walk you through it if not.
remember the equation:
[tex]7.8 * 10^b[/tex]
We are trying to find b.
10 to what power is equal to 100,000
[tex]10^{1} = 10, 10^{2} = 100, 10^3 = 100, 10^{3} = 1,000, 10^4 = 10,000, 10^5 = 100,000[/tex]
How I like to remember what a power equals is counting the 0's :)
How we know if our answer is correct is plugging it into our equation and solve:
[tex]7.8 * 10^5[/tex]
We know that 10 to the power of 5 equals 100,000.
[tex]7.8 * 100,000[/tex]
and using a calculator, or mental math, or doing it the old fashion way, we know that 7.8 * 100,000 is equal to 780,000
How do you add negative numbers with positives
Answers
when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words
examples:- First
[tex]5 + ( - 2) = 5 - 2 = 3[/tex]
like here we put + in front of 3 as larger number 5 is positive
second[tex] - 7 + 5 = - 2[/tex]
we put negative because 7 is larger then 5 and 7 is negative
Find the volume of a cone with a base diameter of 9 in and a height of 7 in.
Answers
Step-by-step explanation:
Formula:
[tex]v = \pi \:r {}^{2} \:h[/tex]
radius is 4.5 because 9÷2=4.5
so it would be
[tex]v = \pi \times \:4.5^{2} \times 7[/tex]
volume = 445.3 units³
Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
school sold 9 senior citizen tickets and 10 student tickets for a total of $113. The school took in
$64 on the second day by selling 2 senior citizen tickets and 10 student tickets. What is the price
each of one senior citizen ticket and one student ticket?
Answers
Answer:
Price of senior citizen ticket = $7
Price of student ticket = $5
Step-by-step explanation:
Let:
senior citizen ticket price = astudent ticket price = bEquations formed :
9a + 10b = 1132a + 10b = 64Subtract : Equation 1 - Equation 2
9a + 10b - 2a - 10b = 113 - 647a = 49a = 7Finding b
2(7) + 10b = 6410b = 50b = 5Solution
Price of senior citizen ticket = $7Price of student ticket = $5Answer:
Senior tickets would be 7 dollars
and
Student ticket prices would be 5 dollars
Step-by-step explanation:
Suppose you buy 3 pizzas for a party. Each pizza is cut into 8slices. Twenty slices are eaten. How many pizzas
were eaten?
Answers
Answer:
2 and a half pizzas were eaten
Step-by-step explanation:
3 pizzas divided into 8 slices is equal to 24 slices. So if 20 slices were eaten, we can do simple math to solve this
There are two ways to do this:
A. divide 20 by 8 to get 2.5
B. subtract a pizza (8 slices) from 20 to get 12. Subtract another pizza (8 more slices) to get 4. The 4 slices left are equal to another half pizza. So in total, there were 2.5 pizzas eaten
PLEASE HELP GIVING BRAINLIST!!!!! What is the perimeter of the shape below?
Answers
Area of the rectangle
LB92(40)3680ft²Area of trapezoid
1/2(sum of parallel sides)(Height)1/2(5+92)(40-5)1/2(97)(35)3395/21697.5ft²Total
3680-1697.51982.5ft²solve the inequality 1/2b+2≤8
Answers
1/2b+2≤8
1/2b≤6
b≤12
Any number less than or equal to 12 can solve the equation.
Answer
[tex]b\leq 12[/tex]
Step-by-step explanation
You would subtract two from the eight and that would get you six, and the reciprocal of 1/2 is two so technically you would multiply the 6 by two and that gets you 12.
Hope this helps any!
please help i dont understand how to find c i know about theorems but
Answers
Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.
Answer:
c = 57 degrees.
Step-by-step explanation:
This is the Alternate Segment theorem:
The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.
So c = 57 degrees.
The coordinates of the vertices of quadrilateral HIJK are H (-2, -1), I (2, 1), J (5, 0), and K (-1, -3). Isabella states that quadrilateral HIJK is a parallelogram. Is Isabella correct? Support your answer and show all work.
Answers
Answer:
Step-by-step explanation:
The triangular prism below has a base area of 31 units^2
and a volume of 310 units^3
Find its height.
Answers
The height of the given triangular prism.
Solution:[tex]h = \frac{V}{ A_{B}}[/tex]
[tex]h = \frac{310}{31} [/tex]
[tex]\large\boxed{\sf{h=10 \: units}}[/tex]
Therefore, the height of the given triangular prism is 10 units.
h= 310/31
h= 10 units
hope this helps
Select the correct answer. The graph below shows the height of a seat on a Ferris wheel as the Ferris wheel goes through its rotation. The function describing this graph is a transformation of the parent sine function, y=sin(x). Which value best describes the maximum of the transformed function?
Answers
Answer:
105 feet
Step-by-step explanation:
Got it right
Answer:
105
Step-by-step explanation:
correct
100 members in a band, 12 members play the flute. What percentage of the band plays the flute?
Answers
what is the solution for x? 6(x+4)=3x-2
Answers
Step-by-Step Explanation:
= 6(x + 4) = 3x - 2
= 6 * x + 6 * 4 = 3x - 2
= 6x + 24 = 3x - 2
= 6x - 3x + 24 = -2
= 6x - 3x = -2 - 24
= 3x = -26
= x = -26/3
Therefore, x = -26/3
How do I solve for 4h=57.6
Pls explain bc I don’t understand Does h = 14.4
Answers
Answer:
h = 14.4
Step-by-step explanation:
4h=57.6
Divide each side by 4
4h/4 = 57.6/4
h = 14.4
Answer:
See explanation
Step-by-step explanation:
Always divide the constant by itself and the value it equals.
1) Divide both sides by 4.
[tex]h=\frac{57.6}{4}[/tex]
2) Simplify [tex]\frac{57.6}{4}[/tex] to [tex]14.4[/tex].
h = 14.4
To check our answer,
4h = 57.6
1) Let h = 14.4
4 * 14.4 = 57.6
2) Simplify 4 × 14.4 to 57.6.
57.6 = 57.6
which expression shows the raltinship between 1 and 2 and 6 and 3
Answers
Step-by-step explanation:
THREE SOLUTION TO PROVE ITS FALSE
1:2
Multiply by 3 on each side
1*3 : 2*3 = 3:6
This is not the same as 6:3
3 apple:6 bananas is not the same as 6 apples: 3 bananas
1:2 is equivalent to 6:12 not 6:3
because 1x6=6 2×6=12 =6:12
3)
however when we solve mathematically
1/2=6/3
1/2=2
The sides are not equa so its false
The altitude of an equilateral triangle is 7 units long. The length of one side of the triangle is ____ units. 7 14
Answers
The length side of equilateral triangle is 8.08 units
What is Altitude?The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side.
Here, let the side of the equilateral triangle be x units
given altitude of the equilateral triangle = 7 units
we know,
Altitude = √3/2 X side
7 = √3/2 X x
x = 7 X 2 / √3
x = 14/√3
x = 8.08 units
Thus, the length side of equilateral triangle is 8.08 units.
Learn more about Altitude from:
https://brainly.com/question/18530806
#SPJ1
What are the integer solutions to the inequality below? 2 x < 3 x + 4 ≤ x + 6
Answers
Answer:
the answer is above pleaseWhat is the value of x in this figure?
O x=85
O x= 90
O x= 95
Answers
35° + 60° + x° = 180°
95° + x° = 180°
x° = 180° - 95°
x° = 85°
In any triangle, the sum of its interior angles measures 180º.