Using the arrangements formula, it is found that there are 40,320 ways for these swimmers to finish.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, there are n = 8 swimmers, hence they can finish arranged in 8! ways, that is:
[tex]A_8 = 8! = 40320[/tex]
More can be learned about the arrangements formula at https://brainly.com/question/24648661
could someone help me really quickly :(((((
#1
k=3Lets verify
kx²+5x+23x²+5x+23x²+3x+2x+23x(x+1)+2(x+1)(3x+2)(x+1)Yes verified
#2
k=4Lets verify
9x²+kx-59x²+4x-59x²+9x-5x-59x(x+1)-5(x+1)(9x-5)(x+1)Yes verified
Rule to be noted:-
If ax²+bx+c be a function
Then
b=a+cWhich of the following is an arithmetic sequence?
O A. -2,3, 8, 13, 18,...
O B. 1,1, 2, 3, 5, 8, ...
O C. 4,-4, 4, -4, 4, ...
O D. 1, 1/2,1/4,1/16
The radius of a circle is 11 yards. What is the circle's area?
Use 3.14 for .
Answer:
[tex]\displaystyle 380,13271108...\:yd.^2[/tex]
Step-by-step explanation:
[tex]\displaystyle {\pi}r^2 = A \\ \\ 11^2\pi = A \hookrightarrow 121\pi = A \\ \\ \boxed{380,13271108... = A}[/tex]
If you want to follow what the exercise wants, then multiplying [tex]\displaystyle 3,14[/tex]by the square of the radius will give you [tex]\displaystyle 379,94\:yd.^2.[/tex]
I am joyous to assist you at any time.
Which polygon has two sets of parallel sides?
Answer:
C
Step-by-step explanation:
C is rectangle
Rectangles have 2 sets of parallel lines
A rectangle has sides that are 7 and 2/5 inches wide and 11 and 2/3 inches long. What is the perimeter of the rectangle?
Answer:
38.1333333334
Step-by-step explanation:
Perimeter of rectangle:
2 × (length + width) inches
2 × (7 2/5 + 11 2/3) inches
2 × 19.0666666667 inches
38.1333333334
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $76
Selling price: $89.83
since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.
if we take 76 to be the 100%, what is 13.83 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20[/tex]
8. When solving the equation (2 - x)(x + 1) = 11, Priya graphs y=(2 - x)(x + 1) - 11 and then looks to find where the graph crosses the x-axis.
Tyler looks at her work and says that graphing is unnecessary and Priya can set up the equations 2 - x = 11 and x + 1 = 11, the solutions
are x = -9 or x = 10.
A) Do you agree with Tyler?
yes
no
Answer:
No
Step-by-step explanation:
Tyler is incorrect. The only way you can set individual terms equal to the result is when the result is zero. This is due to zero times anything equalling zero. If one of the terms equals zero, then the other term does not matter because the whole thing will be zero. Let's say:
[tex](2 - x)(x + 1) = 0[/tex]
If the first term equals zero, the entire left side is zero. For Priya's case, the right side is not zero, it is 11. If one term is 11, the other term will contribute. You can check this by plugging in Tyler's solutions. The correct way to solve this equation is to use FOIL on the two terms, then subtract 11 on both sides to get zero. Then use the quadratic formula.
ANSWERS THESEEESS!!!!
Multiply the following numbers.
(-7)(-5) =
And why???
Answer: 35
Step-by-step explanation: The reason is that 7 × 5 = 35 and when you multiply two negative numbers they make the answer positive. I hope this helped!
Answer:
35
Step-by-step explanation:
7 times 5 equals 35. Even though the two numbers are positive, the product will be negative, because a negative times a negative equals a positive. A negative times a negative will equal a positive because what was originally negative has been reversed in direction.
So, the answer is 35.
hope this helps!
a chair costs rupees 250 and a table costs rupees 400 . If housewife purchased a certain number of chair and two tables fo rupees 2800,find the number of chairs she purchased
Answer:
The housewife purchased 8 chairs
Identify the terms and like terms in the question 3n+7-n-3
Answer:
like terms: (3n,-n),(7,-3)
Step-by-step explanation:
Answer:=2n+2
Step-by-step explanation:
3n+7-n-3=2n+2
Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, rounded to the nearest tenth.
The surface area of the square pyramid is: 451 cm²
The lateral surface area of the square pyramid = 330 cm²
What is the Lateral Surface Area and Surface Area of a Square Pyramid?Surface area = a² + 2al, where a is the base edge and l is the slant height.
Lateral Surface Area = 2al.
Given the following:
a = 11 cml = 15 cmSurface area = a² + 2al = 11² + 2(11)(15)
Surface area = 451 cm²
Lateral Surface Area = 2al = 2(11)(15)
Lateral Surface Area = 330 cm²
Learn more about square pyramid on:
https://brainly.com/question/3688277
The lateral and surface area of a square base pyramid with side length of 11 cm and slant height of 15 cm are 330 cm² and 451 cm².
Surface area of a pyramidsurface area = A + 1 / 2 ps
where
A = area of the basep = perimeter of the base s = slant heightTherefore,
surface area = 11² + 1 / 2 × (11 × 4) × 15
surface area = 121 + 1 / 2 × 44 × 15
surface area = 121 + 330
surface area = 451 cm²
Lateral area of a square pyramidlateral area = 1 / 2 ps
lateral area = 1 / 2 × 44 × 15
lateral area = 330 cm²
learn more on lateral and surface area here; https://brainly.com/question/23857644
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
what is the sum of 9+10?
Answer:
19.
Step-by-step explanation:
The slope is 3 and the line passes through point (5, 17).
Answer:
[tex]\sf y=3x+2[/tex]
Step-by-step explanation:
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Given:
slope (m) = 3point (x₁, y₁) = (5, 17)Substituting given values into the equation to find the equation of the line:
[tex]\implies \sf y-17=3(x-5)[/tex]
[tex]\implies \sf y-17=3x-15[/tex]
[tex]\implies \sf y=3x+2[/tex]
33
The base of a right rectangular prism has
an area of 172.5 square centimeters and
a height of 8 centimeters. What is the
volume, in cubic centimeters, of the
right rectangular prism?
A 180
B 280
C 1,280
D 1,380
3
Answer:
D 1,380
Step-by-step explanation:
V = area of base × height
V = 172.5 cm² × 8 cm
V = 1380 cm³
Circle the exponent
1. a movie Theater sold 74 tickets of these tickets. 32 Where tickets for children, and the rest where tickets for adults.
which equation should be used to determine the number of tickets that were for adults.
A. 32+a=14
B. 32a=74
C. 74a=32
D. 32-a=74
Answer:
Its d
Step-by-step explanation:
why did you delete my answer??
PLEASE HELP PLEASE PLEASE
Answer:
Sublimation - is the transformation from a solid to gas.
Hope this helps!
What are the solutions of this quadratic equation? 9x^2+10=5
Answer:
No solution
Step-by-step explanation:
9x² + 10 = 5
⇔ 9x² = 5 - 10
⇔ 9x² = -5
This is impossible because 9x² > 0 and -5 < 0
9+ – 12(34) + 27 = 0, A= 3*
Use substitution
Answer:
9+ – 12(34) + 27 = 0, A= 3*
Use substitutionStep-by-step explanation:
need answer asap thank you
Answer:
56
Step-by-step explanation:
First of all, if the width of the frame is 2, then add 2 to both sides of 7 to get the frame length7 + 2 + 2 = 11Do the same for 33 + 2 + 2 = 7Area of frame and white rectangle combined = 11 × 7 = 77Area of white rectangle is 7 × 3 = 21Now to get the area of the blue bit, subtract 21 from 77This gives you 56A dog drinks 3.5 bowls of water each day. Each bowl has 2.7 liters of water. How many liters of water does the dog drink throughout the day
Answer:
9.45 liters
Step-by-step explanation:
3.5 bowls x 2.7 liters= 9.45 total liters
i need help on this 6th grade math question:
its for 20 points
Answer:
Quadrant I.Step-by-step explanation:
Quadrant I examples:
(2, 5)(3, 4)(7, 1)Quadrant II examples:
(-1, 5)(-6, 2)(-4, 7)Quadrant III examples:
(-3, -4)(-7, -1)(-8, -5)Quadrant IV examples:
(5, -6)(1, -4)(8, -2)I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = 108 , y = 72
Step-by-step explanation:
x and 108 are alternate exterior angles and are congruent , then
x = 108
x and y are same- side exterior angles and sum to 180° , that is
x + y = 180
108 + y = 180 ( subtract 108 from both sides )
y = 72
You ask four people to the prom. If X is the number of "yes" responses, what is E(X)? Assume equal probability for
"yes" and "no" response.
Answer:
e is the amount of people
Step-by-step explanation:
4 x so let’s say you have two x you have 50% of the people that said yes.
Write the answer in simplest form
Answer:
57/40
Step-by-step explanation:
So we need to find the LCD, or the least common denominator. The LCD is 40. Now, we do a transition to find the new numerator.
[tex]\frac{4}{5} =\frac{x}{40} \\\\\\frac{5}{8} = \frac{x}{40}[/tex]
The new equation is this:
[tex]\frac{32}{40} +\frac{25}{40}[/tex]
Now we use our common sense. 32+25=57
57/40.
You can't simplify this...
read below thanks :D
Answer:
(d) 112 m²
Step-by-step explanation:
The area of a parallelogram is given by the formla ...
A = bh . . . . . . where b is the base length and h is the height
__
Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...
A = (14 m)(8 m) = 112 m²
The area of the parallelogram is 112 square meters.
__
Alternate solution
You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.
A = 2(1/2bh) +bh
A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²
if you were to flip the coin 15, how many times will the coin land on tails based on experimental probability? jordan flipped a count of 45 times.His result are below: heads: 24 tails: 21
Answer:
It will land 7.5 times on tails, which is rounded up to 8 times
Step-by-step explanation:
there are 2 possibilities, heads or tails
so you divide 15 in 2 and get 7.5
The coin will land 7 times tail based on the experimental probability.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
When the coin tossed 45 times.
Head= 24, tail = 21
So, fraction of appearing tail will be
= 21 / 45
= 0.466667
Now, if the coin tossed 15 times then the coin land on tails
= 15 x 0.466667
= 7
Learn more about Probability here:
brainly.com/question/11234923
#SPJ2
Mary swam 3/4 mile each day for 8 days
Step-by-step explanation:
I'm assuming the question is how many miles in total did mary swim.
if this is the case then we just multiply the number of days by the number of miles per day.
Hence,
3/4 × 8 = 6
so 6 miles in total.
make sure to ask if you need any further help