Answer:
1,814,400
Step-by-step explanation:
the formula would be: nPr / x_1 ! x_2!....
since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:
10P10 / 2!
10P10 would simplify down to 10! so you would have :
10! / 2!
if you simplify this above: you would get 1,814,400
12. The roots of a quadratic are x = -5 and x = 3.
Which of the following are possible factors of the
quadratic?
A homeowner is replacing 4 solar modules at a cost of $6,200 for each solar module. She is going to get a discount of x dollars off each module. Write and expression that describes this situation and then simplify.
Answer:
[tex]C = 24800-4x[/tex]
Step-by-step explanation:
Given
[tex]Module =4[/tex]
[tex]Unit\ cost = \$6200[/tex]
[tex]Unit\ Discount = x[/tex]
Required
The expression for total discount
When the discount is applied, the cost (c) of 1 module is:
[tex]C = 6200-x[/tex]
For 4 modules, we have:
[tex]C = 4 * (6200-x)[/tex]
Open bracket
[tex]C = 24800-4x[/tex]
i really need help with this i beg you !!
Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is [tex]\sqrt{2}[/tex] time the length of any of its legs. If the hypotenuse has a measure of [tex]7\sqrt{2}[/tex], then the legs of the triangle have a measure of [tex]7[/tex].
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
[tex]p = 4\cdot l[/tex] (1)
Area
[tex]A = l^{2}[/tex] (2)
Where [tex]l[/tex] is the side length of the square.
If we know that [tex]l = 14[/tex], then the perimeter and area of the square are, respectively:
[tex]p = 4\cdot (14)[/tex]
[tex]p = 56[/tex]
[tex]A = 14^{2}[/tex]
[tex]A = 196[/tex]
The perimeter and area of the square are 56 units and 196 square units, respectively.
PLEASE HELP
3/4M -12 but m = 32
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
nana has a water purifier that filters 1/3 of the contaminates each hour
WILL GIVE BRAINIEST what is the sum of the interior angles of the polygon shown below.
Answer:
900
Step-by-step explanation:
(n-2)*180
5*180=900
Answer:
900°
Step-by-step explanation:
The polygon shown in the picture has 7 sides. The formula for finding the sum of interior angles of an n-gon is:
(n - 2)(180)
We can substitute in 7 for n to get the sum:
(7 - 2)(180)
(5)(180)
900°
Math problem please help me answer A and B
Answer:
a) [tex]\frac{19}{52}[/tex]
b) [tex]\frac{7}{52}[/tex]
Step-by-step explanation:
Total number of students = 52
Number of students who are democrats = 26
Number of students who are business majors = 12
Number of students who are business majors as well as democrats = 7
Now, lets come to the question.
a) Number of students who are democrats but not business majors =
(Number of democrats) - (Number of democrats as well as business majors)
⇒ 26 - 7
⇒ 19
∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]
b) Number of students who are neither democrats nor business majors =
(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)
⇒ 52 - (26 + 12 + 7)
⇒ 52 - 45
⇒ 7
∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]
in the sum of two numbers is 20 and their difference is 10 find the numbers
"The sum of two numbers is 20" can be translated mathematically into the equation:
x + y = 20.
"... and their difference is 10" can be translated mathematically as:
x - y = 10
We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:
Adding the two equations will eliminate the variable y:
x + y = 20
x - y = 10
-----------
2x + 0 = 30
2x = 30
(2x)/2 = 30/2
(2/2)x = 15
(1)x = 15
x = 15
Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):
x + y = 20
15 + y = 20
15 - 15 + y = 20 - 15
0 + y = 5
y = 5
CHECK:
In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:
x + y = 20 x - y = 10
15 + 5 = 20 15 - 5 = 10
20 = 20 10 = 10
Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:
xy = 15(5)
xy = 75
What is the surface area of the figure below?
Given: Triangle ABC with AB = 42 and BC = 20. Which of the following are possible lengths for AC?
Answer:
46.5
Step-by-step explanation:
Using the Pythagoras' Theorem, this is the answer you would get.
I hope this helped☺
At the Silvermine Subs, they charge $5.75 for the basic sandwich and then $0.45 per ounce for the toppings. If Jordan paid for their sandwich with a $10 billhow many ounces of toppings could they have ordered?
Answer:
9.4 ounces
Step-by-step explanation:
this equation can be derived from the question
$5.75 + $0.45t = 10
where t = ounces of toppings
combine like terms
$0.45t = 10 - $5.75
$0.45t = $4.25
t = 4.25 / 0.45
t = 9.4 ounces
There are 6 seniors on the high school soccer team. Two of them will be chosen to be co-captains. How many ways are there to choose the co-captains? Decide if this is a permutation or a combination, and then find the number of ways to choose the co-captains.
A. Permutation; number of ways = 30
B. Combination; number of ways = 15
C. Combination; number of ways = 30
D. Permutation; number of ways = 15
Answer:
B. Combination; number of ways = 15
Step-by-step explanation:
Since order doesn't matter, this is a combination:
6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15
Therefore, there are 15 possible ways to choose 2 co-captains out of 6.
Combination; the number of ways = 15.
Option B is the correct answer.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.
The number of ways to choose two seniors out of six seniors is given by the formula:
C(6,2) = 6! / (2! * 4!) = 15
Therefore,
Combination; the number of ways = 15.
Learn more about combination here:
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An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund
help please and thank you
Answer:
23,030
Step-by-step explanation:
Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.
please someone answer this question fast!
Answer:
100.05 in^2
Step-by-step explanation:
Area of parallelogram: base times height
=11.5 x 8.7=100.05 in^2
A six-pack of soda costs $1.69, a 12-pack of soda costs $3.99, and a 24-pack of soda costs $5.90. Which pack was the best deal?
Answer:
The 24 because it is suposed to cost 6.76 and it cost 5.90.
Practice solving roblems involving the volume or
cylinders, cones, and spheres.
Ant
What is the volume of the sphere in terms of r?
V=
IT in 3
6 in
Done
Answer:
V = 4.187r³
Step-by-step explanation:
Volume of a sphere is expressed using the formula;
V = 4/3πr³
r is the radius
Substitute π = 3.14 into the formula
V = 4/3 * 3.14r³
V = 4.187r³
Hence the volume of a sphere in terms of the radius is V = 4.187r³
This month, Bia earned $157.50 in commission. How much money, in dollars, did she have in sales?
Enter a number in the space provided
Answer:
Total sales made = $ 4500
Step-by-step explanation:
The complete question is
Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3% commission on the first $3000 she has in sales. She earns a 4.5 % commission on the amount of her sales that are greater than $3000 .This month, Bia earned in commission $157.50. How much money, in dollars, did she have in sales? Enter a number in the space provided.
Solution
3% of the total sales made is the commission on the first $3000 for Bia and on the remaining sum of money the profit made was
Thus,
3% of 3000 + 4.5% of (X -3000) = $157.50
On solving we get -
3% * 3000 + 4.5% * (X-3000) = $157.50
$90 + 4.5% * (X-3000) = $157.50
$90 + 0.045 X - $135 = $157.50
0.045 X = $157.50 + $135 - $90
X = 4500
Total sales made = $ 4500
HELP ME PLEASEEEEEEEEEEEEEEE
It would be 98 ft,
when you add all the numbers you would get 98, 21 + 7 + 6 + 21 + 15 + 28 = 98
Inverse Functions
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.
1
⁻
1
a. 45°
b. 90°
c. 0°
d. 1°
Please select the best answer from the choices provided
Answer:
A. 45°
Step-by-step explanation:
I calculated it logically
Indicate the answer choice that best completes the statement or answers the question.
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
30 is what percent of 60?
A 200%
ь. 50%
c. 90%
d 18%
Answer:
no.D) 18% is the answer of this question
The ratio of pants to shots that John has is 2:3. If John has 8
pairs of pants then how many pants and shorts does he have?
Answer:
12 shirts
Step-by-step explanation:
Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.
Check:
2/3 is equivalent to 8/12
Hope this helps :)
What is the measure of ZGMII?
Answer:
answer is A
Step-by-step explanation:
50+90=140
180-140=40
brainliest plz
Please tell me the answer I need it now... please
Answer:
Your answer is C!
Segment AB has endpoints at A ( -3 , 6) and B (7 , -3).
What is the Midpoint of segment AB?
Therefore, the midpoint of segment AB is M (2, 3/2).
The midpoint formula is a method to determine the midpoint of a line segment.
To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:
midpoint x-coordinate = (x1 + x2)/2
midpoint x-coordinate = (-3 + 7)/2
midpoint x-coordinate = 4/2
midpoint x-coordinate = 2
Now, let's find the y-coordinate of M by applying the midpoint formula:
midpoint y-coordinate = (y1 + y2)/2
midpoint y-coordinate = (6 + (-3))/2
midpoint y-coordinate = 3/2
For such more question on segment
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Express 35 degrees into centesimal measure (grade, minute, second).[FULL PROCESS REQUIRED]
Answer:
sorreyyyy mateeeeee dont know the answer
Zach has $50 to spend on a sweater. Let c represent the cost of the sweater. He has a coupon for 5% off. The expression 50 -(c -0.05c)
represents how much money Zach has left after buying the sweater and using his coupon.
Choose two expressions that also represent how much money Zach has left.
A. 0.950
B. 50 -0.05c
C. 50 -0.950
D. 50-C-0.050
E. 50-C+0.050
Answer:
B and D
Step-by-step explanation:
Solve the equation
2x - 4(x-2) = -5 + 4x - 35
3. What is the measure of angle F? A 120° D G B A. 60 degrees. B. 90 degrees. C. 120 degrees. D. 180 degrees.
Answer:
120°
Step-by-step explanation:
The angles that has 120° is the same as angle E.
Angle E = 120°
Angle D = 180° - 120° = 60°
60° + Angle F = 180°
Angle F = 180° - 60°
Angle F = 120°
If my answer is incorrect, pls correct me!
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-Chetan K
A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.
Answer:
D I just did this