Answer:
n=11
Step-by-step explanation:
Permutations
The formula to calculate permutations is:
[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]
We know nP3=990. Substituting:
[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]
Expanding the factorial in the numerator:
[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]
Simplifying:
[tex]n(n-1)(n-2)=990[/tex]
This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:
[tex]n(n-1)(n-2)=11*10*9[/tex]
It follows that n=11
Find the commission on a sale of $600 with a 5% commission rate.
Answer:
$30
Step-by-step explanation:
5% of 600 = 0.05 × 600 = 30
Factor the quadratic expression completely.
after completing a fraction division problem Claire use multiplication to check her answer division:7½ ÷ 1½ = 5 check: 5 × 1½ = 5½
Answer:
15/2 / 3/2= 15/2 * 2/3= 30/6= 5
5/1 * 3/2= 15/2= 6 3/2= 7 1/2
Step-by-step explanation:
Claire should have made the fractions into improper fraction so she could get the check part right.
pls help me look at the screen shot below
Answer:
7241.25 mm squared
Step-by-step explanation:
The surface area of a cylinder is denoted by: , where r is the radius and h is the height.
Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm
using this formula for surface area of cyclinder: 2πrh+2π
diameter = 2r --> 39.2 = 2r
so r= 19.6
The answer is 7241.25 mm squared.
↓Practice Provided Below ↓
What is the domain and range?
Answer:
The domain D = {0, 1, 2, 3, 4, 5}
The range R = {3, 4}
Step-by-step explanation:
Given the ordered pairs or points on the graph
{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.
Thus,
The domain D = {0, 1, 2, 3, 4, 5}
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.
Thus,
The range R = {3, 4}
Note: Please note that the duplicated elements in the range are written only once.
1. In a survey of villagers it is found that 20% of the people have visited Kano and 25% have visited Port Harcourt and 5% have been to both cities, what percentage have visited neither place
2. in a survey of 290 newspaper readers 181 of them read the daily times 142 read the guardian 117 read punch and each reads at least one of the three papers. If 75 read the daily times and the guardian, 60 read the daily times and punch and 54 read the gardian and and punch
a. draw a venn diagram to illustrate this information
b. how many readers read
I. all three papers
ii. exactly two of the papers
iii.exactly one of the papers
iv. the guardian alone
Answer:
1. 60%
2a. (the diagram is attached)
b-i. 39
b-ii. 72
b-iii. I dont know...sorry :(
b-iv. 52
Step-by-step explanation:
1. U= 100%
Kano alone = 20-5= 15%
PH alone= 25-5= 20%
Kano n PH = 5%
None of the two= x
15+20+5+x= 100
40+x=100
X= 100-40
X= 60%
Question:
A method of solving systems
of linear equations by______
an expression for a variable and then solving for the other variable is called_______
Answer choices:
•graphing
•substitution
•substituting
•solving
(help me please)
Answer:
substituting & graphing
Step-by-step explanation:
Please help this is a grade
Answer:
I don't see the answer to the problem
The number of zeroes at the end of the cube root of the number1000
Hey there!
The answer to your question is one zero.
To solve this, we can first start by finding the cube root.
[tex]\sqrt[3]{1000}[/tex]
The answer to this is [tex]10[/tex], because [tex]10 * 10 * 10 = 1000[/tex]
Now, we can see that there is one zero at the end of [tex]10[/tex].
Hope it helps and have a great day/night! Stay safe!
Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24
Answer:
The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Step-by-step explanation:
Given the table
x -10 -14 -18 -24
y 6 10 16 24
A linear function has a constant change in x and a constant change in y values.In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.
It is clear that there is a NO constant change in x
i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6
It is clear that there is a NO constant change in y
i.e. 10-6=4, 16-10 = 6, 24-16 = 8
Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
a quadratic equation has two roots: -2 and 3.
Answer: B) Crossing the x-axis at -2 and 3
Step-by-step explanation:
HELP I HAVE TILL 12 AND IRS IN 20 MINUTES
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
Answer:
The description of the rotation is 180 degrees clockwise or counterclockwise rotation
Step-by-step explanation:
Here, we want to get the kind of rotation that maps the triangle into its new coordinates
we have this as;
(x,y) to (-x, -y)
that will be ;
a 180 degrees rotation or counter clockwise rotation
180 rotation so A
Step-by-step explanation:
what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)
Answer:
-6/9 = -2/3 (C)
Step-by-step explanation:
Jerry started doing sit-ups every day. The first day he did 18 sit-ups. Every day after that he did 2 more sit-ups than he had done the previous day. Today Jerry did 28 sit-ups. Enter an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day.
Answer:
14 days
Step-by-step explanation:
28/2
What is the factored form of 343 + x^6?
Answer:
[tex](x^2+7)(x^4-7x^2+49)[/tex]
Step-by-step explanation:
Factor x^6+343, and you will get the answer above. Hope this helps :)
Find the value of x in the given right triangle
X= ?
Answer:
7.5 is the answer to the question
Step-by-step explanation:
using tan
4) Get Fit Headquarters charges $40 per month and $3 per exercise class. Fit Planet
charges $20 per month and $8 per exercise class. After how many exercise classes
will the monthly cost be the same at each gym? What will that cost be?
Answer:
After 4 exercise classes, the monthly cost will be the same at each gym
The cost will be $52
Step-by-step explanation:
Assume that the number of the exercise classes is x
∵ Get Fit Headquarters charges $40 per month and $3 per exercise class
∵ The number of the exercise classes is x
→ Add $40 to the product of x and $3 to get the monthly cost
∴ The monthly cost of Get Fit = 3x + 40
∵ Fit Planet charges $20 per month and $8 per exercise class
∵ The number of the exercise classes is x
→ Add $20 to the product of x and $8 to get the monthly cost
∴ The monthly cost of Fit Planet = 8x + 20
∵ They have the same monthly cost
→ Equate their monthly cost to find x
∴ 8x + 20 = 3x + 40
→ Subtract 3x from both sides
∵ 8x - 3x + 20 = 3x - 3x + 40
∴ 5x + 20 = 40
→ Subtract 20 from both sides
∵ 5x + 20 - 20 = 40 - 20
∴ 5x = 20
→ Divide both sides by 5
∴ x = 4
∵ x is the number of the exercise classes
∴ After 4 exercise classes the monthly cost will be the same at each gym
→ Substitute the value of x in one of the monthly cost to get it
∵ The monthly cost of the Get Fit = 3(4) + 40
∴ The monthly cost of the Get Fit = 12 +40
∴ The monthly cost of the Get Fit = 52
∴ The cost will be $52
What are the coordinates for point a?
Answer:
2,3
Step-by-step explanation:
Answer:
(2,3) if the distance between each line is 1.
Step-by-step explanation:
PLEASE HELP I NEED TO RAISE MY GRADE PLEASE
Answer:
AC, AB. BC
Step-by-step explanation:
4+5(2-3x)+4x
Help pls I need it FAST
Answer: 14 -11x
You first distribute 5 through the parenthesi to get 4 + 10 - 15x + 4x. Then calculate like terms to get 14 - 11x
a recipe needs 4/5 cup(s) of sugar for every 3 cups of flour. if you plan to use 7 1/2 cups of flour, how much sugar will you need?
Answer:
2 cups of sugar
Step-by-step explanation:
Set up a proportion where x is the amount of sugar for 7.5 flour cups
[tex]\frac{3}{0.8}[/tex] = [tex]\frac{7.5}{x}[/tex]
Cross multiply and solve for x:
3x = 6
x = 2
So, you will need 2 cups of sugar
What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?
y=13x−8
y=13x
y=13x−4
y=13x+4
Answer:
y = 13x - 80{Or, if you mean slope of 1/3: y = ¹/₃x - 4 }
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = 13
(6, -2) ⇒ x₀ = 6, y₀ = -2
The point-slope form of the equation:
y + 2 = 13(x - 6)
So:
y + 2 = 13x - 78 {subtract 2 from both sides}
y = 13x - 80 ← the slope-intercept form of the equation
{Or, if you mean slope of ¹/₃: m = ¹/₃
The point-slope form of the equation: y + 2 = ¹/₃(x - 6)
y + 2 = ¹/₃x - 2 {subtract 2 from both sides}
y = ¹/₃x - 4 ← the slope-intercept form of the equation}
In a gram panchayat election, candidate A
won with 220 votes where the number of
voters was 1,000. In another such election,
candidate B won with 300 votes where
the number of voters was 1,300. Who won
with the greater majority?
Consider the polynomial 9n2+60n+100.
What are the square roots of the first and last terms?
square root of first term:
square root of last term:
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.
Answer:
Equation to determine number of albums sold: 12a +200 = 644
Step-by-step explanation:
Given that:
Base rate earned by Floyd = $200
Amount for per album sold = $12
Let,
a be the number of albums sold by Floyd
Amount earned last month = $644
According to given statement;
Total earned = 12a + 200
12a +200 = 644
Hence,
Equation to determine number of albums sold: 12a +200 = 644
In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+400 to model the number of children, y, at the amusement park as a function of the temperature, x. On a day in July, the temperature was 90°F and there were 60 children at the park. Which is the residual of this data point?
Answer:
25
Step-by-step explanation:
Given the model:
y=−3.5x+400
Number of children in amusement park = y
Temperature = x
On a certain day:
Temperature = 90°F
Number of children in park = 60
Using the model :
The predicted number of children in park when temperature is 90°F would be :
y = - 3.5(90) + 400
y = - 315 + 400
y = 85
Model prediction = 85 children
Actual figure = 60
Residual :
|Actual - predicted | = |60 - 85| = 25 children
Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all
Answer:
A.) x=-3
B.) I have no clue I'm sorry I haven't learned anything over square method
Step-by-step explanation:
PLS AWNSER IS LOTS OF POINTS
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
What is the most appropriate level of accuracy for measuring the height of a tree
Answer:
Step-by-step explanation:
Depends on the tree.
If it's like a pine or spruce, then I would use maybe 2 inches lattitude. If it's really leafy with big leaves, perhaps a little more lattitude is needed, like maybe 1/2 a foot.
It also depends on the season. Unless the pine or spruce is covered with snow, I wouldn't change the latitude. If it is covered with snow, knock the snow off.
For something like a maple in winter, I'd reduce the latitude to 3 inches......