Answer: B
Step-by-step explanation:
A factorial is multiplying the integer and all of the integers below it together.
The product of a whole number 'n' with every whole number until 1 is called the factorial. The correct option is B.
What is a factorial?The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.
The expression 7! means 7 factorial which is expanded as,
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1
Hence, the correct option is B.
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Which of the following set of angles is possible for a triangle
Answer:
2. Isosceles
4. 25, 65, 90
Step-by-step explanation:
Isosceles triangles have two equivalent sides
All the interior angles of triangles always add up to 180 degrees
A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible
Answer:
I would say about a billion because numbers can be put in any combination
Step-by-step explanation:
EXAMPLES:
012345678
023456781
034567812
045678912
123456780
234567801
345678012
456780123
567801234
678012345
780123456
801234567
123456789
234567891
345678912
456789123
567891234
678912345
789123456
891234567
912345678
There are 3,628,800 possible ways to create passwords .
What is permutation?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set.
The symbol [tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
is used to denote the number of permutations of n distinct objects, taken r at a time.
According to the question
Website requires users to create a password consisting of digits only.
i.e Digits are:
0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 7 , 8 , 9 = total 10 digits
no digit may be repeated and each password must be at least 9 digits.
i.e Digits taken at a time is 9 with no repetitions
Now ,
Applying permutation
[tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
substituting the value
n = 10
r = 9
[tex]P_{9} ^{10}[/tex] = [tex]\frac{10!}{(10-9)!}[/tex]
[tex]P_{9} ^{10}[/tex] = 10!
= 3,628,800
Hence, There are 3,628,800 possible ways to create passwords .
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If CD represents 100%, what is the length of a line segment that is 25%? Explain.
Answer:
(1/4)CD
Step-by-step explanation:
The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.
25% is 1/4 of 100%
25% = 1/4 = 0.25
Help plz i will give brainliest!!!!!
Answer:
{3,4,5,7,9,10,13,17}
Step-by-step explanation:
The U means union and that means join sets A and B together
A U B
{3,4,5,7,9,10,13,17}
En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.
Answer:
A) 140
B) 75
C) 80
D) 20
E) 80
Step-by-step explanation:
Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.
Comenzamos nombrando cada círculo:
E= personas que usan máquinas eléctricas
M= personas que usan máquinas mecánicas
C = personas que usan computadoras.
- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.
- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.
- En la intersección entre M y C restamos:
25-20=5
Entonces colocamos este 5 en esa región.
- En la intersección entre E y C restamos:
35-20=15
Entonces colocamos este 15 en esa región.
- En la intersección entre E y M restamos:
40-20=20
Entonces colocamos este 20 en esa región.
- En la región de E restamos:
110-20-20-15=55
Entonces colocamos este 55 en esa región.
- En la región de M restamos:
50-20-20-5=5
Entonces colocamos este 5 en esa región.
- En la región de C restamos:
60-15-20-5=20
Entonces colocamos este 20 en esa región.
Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)
Y ahora ya lo podemos usar para responder a las preguntas:
A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:
55+20+5+60=140
B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:
55+20=75
C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C
55+20+5=80
D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C
20
E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:
20´60=80
All sides of the convex pentagon $ABCDE$ are of equal length, and $\angle A = \angle B = 90^\circ$. What is the degree measure of $\angle E$?
Answer:
∠E = 150°
Step-by-step explanation:
All sides of the convex pentagon ABCDE are of equal length, and ∠A = ∠B = 90°. What is the degree measure of ∠E?
Solution:
A pentagon is a polygon with five sides and five angles. For a regular polygon, all the sides are equal and each angle is 108°.
Since ∠A and ∠B are right angles, and AE = BC = AB = CE. Therefore ABCE is a square. This means ∠AEC = 90°
Also triangle CDE is equilateral because all sides of the triangle are equal, hence ∠DEC = 60°.
Therefore ∠E = ∠AEC + ∠DEC = 90° + 60°
∠E = 150°
Given: 2x^2 = 5x + 3
Find f(3)
Answer:
18 = 18
Step-by-step explanation:
f(3) =
2(3)^2 = 5(3) + 3
2 × 9 = 15 + 3
18 = 18
Find the value of x.
Answer:
d. 16 feet
Step-by-step explanation:
x² + 12² = 20²
x² + 144 = 400
x² + 144 - 144 = 400 - 144
x² = 256
√x² = √256
x = 16
8, 10, 3, 9, 12, 4, 3
Median Mode
Mean
Range
Answer:
the Midian is 9
mode is 3
mean is 6
it ranges from 3 to 12
(6. solve for x )
225 multiplyed by 1/3 = x
Answer:
Step-by-step explanation:
225*1/3=x
225/3=x
75=x
Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??
Answer:
$1182.65
Step-by-step explanation:
Given :
Fortnight gross pay = $1300
Given :
PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay
FNPF = 5% = 0.05 * $1300 = $65
PAYE = $31.85 ; HEALTH INSURANCE = $20.50
Total deduction = $(65 + 31.85 + 20.50) = $117.35
Net pay :
Gross pay - deduction
$1300 - $117.35 = $1182.65
Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 16 chores, and $18 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.
i need help!
Answer:
y = (1/2)x + 16
Step-by-step explanation:
General point/slope form is
y = mx +b (the two points given are (4,18) and (16,24))
slope = rise/run = (24-18)/(16-4) = 6/12 = 1/2
y = (1/2)x + b
pick one point (4,18) and plug in
18 = (1/2)4 + b
18 = 2 + b
b = 16 (he still gets $16 for zero chores)
So
y = (1/2)x + 16
Taylor has eight more than four times as many stickers as her sister. Which expression represents the number of stickers that Taylor has if the variable s represents the number of stickers that her sister has?
A 8s+4
B 4s+8
C 4+s+8
D 12s
Answer:
It would be B
Step-by-step explanation:
Can someone help me on this?
Answer:
b^-6+11
b^5
Step-by-step explanation:
answer to your question is b^5
I need help solving this problem. 15-1(12÷4+1)
Answer:
11
Step-by-step explanation:
1. First do the brackets because BEDMAS
So, (12÷4+1) = 4
2. 15 - 1 x 4
3. 15 - 4
4. 11
Hope this helps! :)
Use the symbolab website/app it's really helpful
What is the surface area of the cylinder with a height of 3 m and radius of 4 m? Round your answer to the nearest thousandth.
Answer:
The surface area of the cylinder is of 131.947 square meters.
Step-by-step explanation:
Surface area of a cylinder:
The surface area of a cylinder of height h and radius r is given by the following equation:
[tex]S_a = 2\pi r(h+r)[/tex]
What is the surface area of the cylinder with a height of 3 m and radius of 4 m?
[tex]h = 3, r = 4[/tex].
So
[tex]S_a = 2\pi r(h+r) = 2\pi(3)(3+4) = 42\pi = 131.947[/tex]
Height and radius are in meters, so the surface area will be in square meters.
The surface area of the cylinder is of 131.947 square meters.
Someone help me with 20 and 19 ASAP please and thank you!!
19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.
20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be
2 * 3^2 + 5
= 2* 9 + 5
=18 + 5
=23
need a answer for this please
rite 4 and 5 as a percentage
Answer:
4/5 as a percentage is 80%
if you want to write 4 and 5 as a percentage . . .
You can't do that
Write each number as a fraction or Mixed number.
(Please help! I'm trying to promote!)
Answer:
0.7 repeating is 7/9
0.04 repeating is 4/99
4.45 repeating 4 4/11
2.19191919...... is 2 19/99
hope this helps
have a good day :)
Step-by-step explanation:
find the equation of a line with gradient 5 through the point -4,5
Step-by-step explanation:
5 = 5(-4)+c
5 = -20 + c
5+20= 25
25= c
so
y = 5x + 25
Answer:
m= 5
Points=(-4,5)
y-y'= m(x-x')
y-5 = 5(x-(-4)
y-5=5(x+4)
y-5=5x + 20
y - 5x -25 = 0
Or
y= 5x + 25.
1. Sandra just opened up her own pie shop. She makes $38 on every pie that.
she sells and her monthly expenses are $850. How many pies does Sandra nded to
sell this month so that she can earn a total of $100 after she pays her monthly
expenses?
Answer:
25
Step-by-step explanation:
If you take the 100+850= 950 then you take that because that is the expenses and what she wants to make you will then divide 950/38=25 so sandra will need to sell 25 pie in order to cover the monthly cost and what she wants to earn.
Answer:
25 pies
850 + 100 = $950
So Sandra needs $950 in total.
If you divide 950 by 38 (how much a pie costs) then you get 25.
hope this helps :)
Find area of the composite figure..
Answer:
627square inches
Step-by-step explanation:
Area of the composite figure.. = area of triangle + area of parallelogram
Since the triangle is an equilateral triangle;
Area of the triangle = r²sintheta
Area of the triangle = 18²sin60
Area of the triangle = 324sin60
Area of the triangle = 324(0.8860)
Area of the triangle = 280.584 square in
Area of the triangle = 281 square inches
Area of parallelogram = absintheta
Area of parallelogram = 20(20)sin60
Area of parallelogram = 400(0.8660)
Area of parallelogram = 346.4square inches
Area of parallelogram = 346 square inches
Area of the figure = 346 + 281
Area of the figure = 627square inches
William is planning a party. He spent $110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy? (Do not include the $ sign in your answer.)
Answer: $11.30 per pound
Step-by-step explanation:
William spent $110.74 to buy 9.8 pounds of candy.
To find the cost per candy, divide the amount spent by the quantity of candy:
=Amount spent on candy / Quantity of candy
= 110.74 / 9.8
= $11.30 per pound
The roof of an airplane hanger is a parabola with the focus located 32 feet from the vertex. If the building is 200 feet wide and the side walls are 25 feet tall, find the maximum height of the hangar.
Answer:
[tex]h_m=103.125ft[/tex]
Step-by-step explanation:
From the question we are told that:
Focus [tex]F=32ft[/tex]
Width of building [tex]W=200ft[/tex]
Height[tex]h=25[/tex]
Generally the equation for the Parabola is mathematically given by
[tex]y^2=4ax[/tex]
[tex]y^2=128x[/tex]
[tex]y^2=128b^2[/tex]
[tex]y=\pm8\sqrt{2b}[/tex]
[tex]b=\frac{25}{2\sqrt{2}}[/tex]
Therefore
[tex]x=b^2[/tex]
[tex]b^2=\frac{625}{8}[/tex]
Generally the Generally the equation for momentum is mathematically given by mathematically given by
[tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]
[tex]h_m=\frac{825}{8}ft[/tex]
[tex]h_m=103.125ft[/tex]
need help!! will give brainliest 2 whoever can give the right answer.
Answer:
Step-by-step explanation:
i dont know
helppppppp meeeeeeee please
Answer:
33
Step-by-step explanation:
(3×3 )+(1/2 ×3×4) ×4 = 33
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( x − 23 ) ∘ ∠A=(x−23) ∘ and m ∠ B = ( 2 x + 29 ) ∘ ∠B=(2x+29) ∘ , then find the measure of ∠ B ∠B
Answer:
85
Step-by-step explanation:
2x + 29 + x - 23 = 180
solve for x = 28
b = 2 * 28 + 29 = 85
Find the area of each regular polygon
Elena is feeding her neighbor's dogs. Each dog gets two thirds, cup of dog food, and she uses three and one-third cups of food. How many dogs does her neighbor have?
Five, five and an eighth cups of water fill four, one-half identical water bottles. How many cups fill each bottle ?
Answer:
Remember that:
[tex]\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}[/tex]
A) We know that:
Each dog gets (2/3) of a cup of food.
Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?
The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:
[tex]N = \frac{3 + 1/3}{2/3}[/tex]
We can rewrite the numerator as:
3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3
Replacing that in the above equation, we get:
[tex]N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5[/tex]
There are 5 dogs.
B)
We know that:
5 + 1/8 cups of water, can fill four bottles.
Then, how many cups we need for each bottle?
Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.
This is the quotient between (5 + 1/8) cups of water and 4.
[tex]K = \frac{5 + 1/8}{4}[/tex]
We can rewrite the numerator as:
5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8
Replacing that we get:
[tex]K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32[/tex]
We can rewrite this as a mixed number in the next way:
[tex]K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32[/tex]
So with 1 and 9/32 cups of water we can fill one of the bottles.