Use a permutation expression to solve.
In a race of 43 people, how many different ways can the runners place in 1st, 2nd, and 3rd?
Answer:
74046
Step-by-step explanation:
Permutations = [tex]_np_r=\frac{n!}{(n-r)!}[/tex]
where r = choice of things from a set ( in this case the 3 places ) so r = 3
and n = amount of things ( in this case the 43 people ) so n = 43
We then plug in the values of n and r in the permutations formula
[tex]\frac{43!}{(43-3)!} =74046[/tex]
Hence the answer is 74046
plz help with this thanks
Answer:
which one
Step-by-step explanation:
the upper answer would be 38 and lower would be
Answer:
4f = 38
Step-by-step explanation:
f(x) = 9x + 2
=
f(4) = 9(4) + 2
=
4f = 36 + 2
=
4f = 38
Suppose that the length of a certain rectangle is two centimeters more than three times its width. If the area of the rectangle is 85 square centimeters, find its length and width
Answer:
width = 5 in
length = 17 in
Step-by-step explanation:
Area of a rectangle = length x width
width = w
length = 2 + 3w
85 = (w) x (2 + 3w)
85 = 2w + 3w³
this can be solved using quadratic equation
3w³ + 2w - 85 = 0
factors of 3w³ x -85 that add up to 2w are : +17 w and -15w
(3w³ - 15w) (17w - 85) = 0
3w(w - 5) 17(w - 5) 0
w = 5
or w = - 17/3
the width cannot be a negative number. the correct width is 5 in
Length = 2 x 3(5) = 17 inches
Solutions for y=-x^2-5x+12
Answer: y = -(x+5/2)^2+73/4
Step-by-step explanation:
i need help solving this
Answer:
y= - 2/3x + 3
Does anyone know the answer for this?
No links! Answer please will give brainliest if I can!
answer:
i drew the graph since i couldn’t write it out
Find the sale price or selling price.
17. Original price: $15
Discount: 5%
Sale price:
Answer:
14.25
Step-by-step explanation:
So, lets go over our information.
We have a price of 15 dollars.
And it is 5% cheaper.
This means that the price is 95% of what it used to be.
We must find 95% of 15.
We know that to put 95% into decimal form, we must divide by 100:
95/100
=
0.95
So we know we must multiply 15 by 0.95:
15x0.95
=
14.25
So our price is now 14.25 dollars
hope this helps! :)
I know the answer can someone just help me explain it???
Step-by-step explanation:
It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.
(1,5): d = 5t^2
5 = 5(1)^2
5 = 5*1
5 = 5, so this point is correct.
(2, 20): = d = 5t^2
20 = 5(2)^2
20 = 5*4
20 = 20, so this point is correct.
We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.
which system of equations is represented by the graph?
Answer:
the second one
Step-by-step explanation:
Help me
Compute The area of each figure below. include units in your answer. Decimals may be rounded to the nearest tenth.
Answer:
A = 135 sq in
Step-by-step explanation:
Area of parallelogram is base x height
A = 15(9)
A = 135 sq in
What would be the algebraic rule for a dilation with a scale factor of 3?
Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.
Step-by-step explanation:
a wise man once said 400 reduced by 3 times his age=250
Answer:
71
Step-by-step explanation:
Janet uses 4 feet of ribbon to decorate each pillow. The ribbon comes in 225-foot rolls. How many
pillows will she be able to decorate with one roll of ribbon? Will there be any ribbon left over?
Answer:
56 and there will be 1 foot of ribbon left over
Step-by-step explanation:
225/4=56.25
In the right triangle shown,
m
∠
V
=
60
°
m∠V=60°m, angle, V, equals, 60, degree and
U
V
=
18
UV=18U, V, equals, 18.
60
°
60°
x
x
18
18
U
U
W
W
V
V
How long is
U
W
UWU, W?
Answer:
what
Step-by-step explanation:
What’s the quotient of 5,045 divided by 23
Answer:
219.347
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
Jack can fill buckets of water four times fast as his sister Jill. They have to fill 400 buckets of
water for their village located at the bottom of a hill. Working together, Jack and Jill can complete
the job in six hours.
30. How many hours will it take Jack if he works alone?
Answer:
1.5 hour
Step-by-step explanation:
You divide 6 by 4.
Answer:
7.2 hrs
Step-by-step explanation:
Jack does 4/5 of the work in 6 hrs. He still needs to do 1/5 more if he's doing it by himself. 1/5 of 6 = 1.2 and 1.2 + 6 = 7.2 hrs
i need help please help meeeehhh
Answer:
e=26
d=52
f=154
Step-by-step explanation:
theyre equal to the ones across from them, and i used a line to find the measure of d
The ratio of lime juice to orange juice in a drink is 3:8. How much orange juice is used in 50 L of the mixture?
4 6/11 is the value of 1 part of the ratio (1). 13 7/11 of the muxture is orang juice, in litres.
+ listen
19. Isabel spent $34.93 for 7 books on her
summer reading list. If the books were all the
same price, how much did each one cost?
Answer:
$4.99
Step-by-step explanation:
[tex]34.93 \div 7 [/tex]
Answer:
[tex]7 \: books = 34.93 \: dollars \\ 1 \: book = ( \frac{1}{7} \times 34.93) \: dollars \\ = 4.99 \: dollars[/tex]
NO LINKS!
Select the correct answer from each drop-down menu.
Consider the end behavior of the function
g(x) = | x-2 | -3
As x approaches negative infinity, f(x) approaches
[BLANK] infinity
Options :
Negative, Positive
As x approaches positive infinity, f(x) approaches [BLANK] infinity
Options :
Negative, Positive
Answer: negative, positive
Step-by-step explanation:
FOR PLATO!
Positive
Positive
Solve the equation
x^2 = -8x-7
by factoring
Answer:
x= -1,-7
Step by step:
Answer:
x = -7 and -1
Step-by-step explanation:
Move the right side of the equation over to the left;
x^2+8x+7 = 0; Factor
(x+7)(x+1)=0 ; Solve for x;
x = -7 and -1
find cot0 given cos0=2/7 and the terminal side is in quadrant IV
Answer:
0.2985
Step-by-step explanation:
find cot0 given cos0=2/7 and the terminal side is in quadrant IV
Given
cos theta = 2/7
theta = arccos(2/7)
theta = 73.40 degrees
cot theta = cot73.40
cot73.40 = 1/tan73.40
cot73.40 = 1/3.35
cot73.40 = 0.2985
hence the required answer is 0.2985
I need help pls show work dont just answer for the pts..
Answer:
volume = 24,501.42
Step-by-step explanation: the way i did it:
first find the radius, 34 divided by 2 = 17π
then multiply the radius by itself 17 x 17 = 289
after, multiply 289 by 27 to get 7,803
then multiply 7803 by 3.14 to get 24,501.42
Hope this is correct!
(p.s.) if you do it on a calculator and use the pi symbol (π) the answer would be 24,513.84
Help will award brainliest!!!!
IS THE ANSWER A?
Answer:
it is A becuase it passes through 0,0 and 5,5 the rest either pass through 5,5 but not 0,0 and B doesnt pass thorugh 5,5 but does pass thorugh 0,0 so its A
Step-by-step explanation:
Plz help meeee plz help
Answer:
The value of k would be [tex]\frac{1}{2}[/tex] also written as 0.5
Hope this helps!
simplify 3a - 4b - 6a +b
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{3a - 4b - 6a + b}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\text{\underline{(3a - 6a)} + (\bf -4b + b)}[/tex]
[tex]\large\text{\underline{3a - 6a = \bf -3a}}[/tex]
[tex]\large\text{\bf -4b + b = \bf \underline{-3b}}[/tex]
[tex]\large\text{= \bf -3a - 3b}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -3a - 3b }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot, and
enter the number only.
Answer:
roubd it to 20 and you will get 679.90
Evaluate f(−3) for f(x)=2x2−x+5.
Answer: -4
Step-by-step explanation:
2(-3)*2-(-3)+5= -4
Solve: 2x-4 = -(x-6)/2
Answer:
x = 14/5
Step-by-step explanation:
2x-4= -x-6/2
multiply by 2 on both sides to get rid of the fraction
4x-8= -x-6
add both sides by 8 and both sides by x to get the constants on the right and the variables on the left
4x+x=6+8
combine like terms/simplify
5x=14
divide both sides by 5 to isolate the x
x=14/5
i hope this helps :)