Answer:
24 ways!
Step-by-step
Pat, Jo, Al, Dan
Pat, Al, Dan, Jo
Pat, Dan, Jo, Al
Pat, Jo, Dan, Al
Pat, Al, Jo, Dan
Pat, Dan, Al, Jo List all permutations beginning with Pat.
Jo, Al, Dan, Pat
Jo, Dan, Pat, Al
Jo, Pat, Al, Dan
Jo, Al, Pat, Dan
Jo, Dan, Al, Pat
Jo, Pat, Dan, Al List all permutations beginning with Jo.
Al, Dan, Pat, Jo
Al, Pat, Jo, Dan
Al, Jo, Dan, Pat
Al, Pat, Dan, Jo
Al, Dan Jo, Pat
Al, Jo, Pat, Dan List all permutations beginning with Al.
Dan, Pat, Jo, Al
Dan, Jo, Al, Pat
Dan, Al, Pat, Jo
Dan, Jo, Pat, Al
Dan, Pat, Al, Jo
Dan, Al, Jo, Pat List all permutation beginning with Dan.
There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.
Using permutations, they are 24 different ways Pat, Jo, Al and Dan finish in first, second, third, and fourth place in the contest.
What is permutations?A permutations is "a mathematical calculations of the number of ways a particular data can be arranged".
According to the question,
Pat, Jo, Al and Dan finish in first, second, third, and fourth place in the contest.
Formula for Permutation [tex]nP[/tex]ₓ = [tex]\frac{n!}{(n-x)!}[/tex] where 'n' number of items set and 'x' is the item taken for Permutation.
In order to find number of ways first, second, third, and fourth place are arrangement or Permutation in the contest.
First, second, third and fourth are four places can be obtained by Pat, Jo, Al and Dan by four position
Formula for permutation P(n , n) = n!. Using this formula P(4,4) = 4!
= 1×2×3×4 =24 ways.
Hence, using permutations, they are 24 different ways Pat, Jo, Al and Dan finish in first, second, third, and fourth place in the contest.
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David is keeping track of the internal temperature of a chicken he is cooking. The table below
shows how its temperature is a function of the time it has been in the oven. Which of the
following gives the average rate that the temperature is increasing at from 15 to 45 minutes?
(1) 2.1 °F per minute
Time (min)
0 15 25
60
(2) 2.4 °F per minute
Temperature (°F) 72 90 113 153 167
(3) 2.8 °F per minute
23 + 40 +14=77
(4) 3.2 °F per minute
77-3=25.7
Using the average rate of change, it is found that the average rate is of:
(1) 2.1 °F per minute
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem:
At 15 minutes, the temperature was of 90ºF.At 45 minutes, the temperature was fo 153ºF.Hence, in 30 minutes, the temperature increased 63ºF, hence the rate is given by:
r = 63/30 = 2.1 °F per minute.
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Graphs of Function
Name if even, odd or neither
x4 + x²
see attached graph and I only want help with number 1. I want to learn so I can do the rest on my own.
Answer:
Examine each term of the polynomial to determine whether it is even, odd, or neither.
Even = each term is an even functionOdd = each term is an odd functionNeither = terms are even and odd termsEven function → symmetry about the y-axis
Odd function → symmetry about the origin
1) y = x⁴ is an even function, as it has symmetry about the y-axis
y = x² is an even function, as it has symmetry about the y-axis
Therefore, x⁴ + x² is an even polynomial
2) [tex]\sf y=6x^5[/tex] is an odd function, as it has symmetry about the origin.
[tex]\sf y=-x^3[/tex] is an odd function, as it has symmetry about the origin.
Therefore, [tex]\sf y=6x^5-x^3[/tex] is an odd polynomial
**Please see attachments for examples of even and odd functions**
Note:-
Every power of function variables are responsible for even odd like powe is odd function is odd power is even function is even
#1
x⁴+x²4 and 2 are even
Symmetry about y axisEven
#2
6x⁵-x³5 and 3 are odd
Symmetry about originOdd function
needs help please!!!
please help me with the question
I think one two and three are correct if you do the math and put the numbers in the perenthisis (x on the left, y on the right) to the equation then you will get the answer.
Clovis wants to make a surprise visit to his uncle who lives out of town. he purchases an airline ticket for $69. there is a 15% sales tax on the price of the airline ticket. in addition he must pay a baggage fee of $20. when he arrives at the airport, clovis takes a taxi to his uncle's house which is 8 miles from the airport. the taxi fee is $2.50 per mile. if clovis has spent a total of $123.35 for the airline ticket and taxi, at what percent of his fare did clovis tip the taxi driver? a. 10% b. 15% c. 20% d. 25% please select the best answer from the choices provided a b c d
If Clovis has spent a total of 123.35 for airline ticket and taxi ,the percent of fare that He tip the taxi driver is At 20%.
What is percentage?A percentage serves as a number or ratio which is been expressed as a fraction of 100.
The amount paid for the airline Ticket and the Taxi is 123.35
Sales Tax on the airline Ticket is 15% of $69, which can be calculated as [tex](15/100 * 69)=10.35[/tex]
The amount without any tip can be calculated as[tex][10.35 +20+69+(2.5*8)][/tex]
To get the amount with the tip, we will substract the from the total amount of airline ticket 123.35 from amount for the tip which is
(123.35-119.35)= 4.
Then we can calculate percentage of the tip as
[tex](4/20 *100)= 20%[/tex]
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The answer is C
- airline ticket: $69
- sales tax, 15%: $10.35
- baggage fee: $20.
- taxi: 8 miles * $2.50 per mile = $20
Sub-total: 69 +10.35 + 20 + 20 = $ 119.35
If Clovis has spent a total of $123.35 => tip = 123.35 - 119.35 = $4.00
at what percent of his fare did Clovis tip the taxi driver?
[$4 / $20] * 100 = 20%
Calculate the length labeled X
Image above!
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Answer:
[tex]x=\sqrt{120}[/tex]
Step-by-step explanation:
Solving for two legs of triangle first.
Top Triangle
[tex]a^2+b^2=c^2[/tex]
[tex]15^2+b^2=19^2[/tex]
[tex]b^2=19^2-15^2[/tex]
[tex]b^2=361-225\\b=\sqrt{136}[/tex]
Bottom Triangle
[tex]a^2+b^2=c^2[/tex]
[tex]4^2+b^2=(\sqrt{136} )^2\\16+b^2=136\\b^2=120\\b=\sqrt{120}[/tex]
Charlie and Jasmine share cartons of apple juice. Charlie drinks 1/3 of a carton every day. Jasmine drinks 2/5 of a carton every day. Any apple juice left in a carton at the end of the day is used the following day. The cost of a carton is 70p. Charlie and Jasmine buy just enough cartons to last them for 10 days. How much do they spend in total for these cartons? Give your answer in £.
Using proportions, it is found that they spent a total of £5.6 for these cartons of apple juice.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the daily fraction of a carton they drink is given by:
[tex]\frac{1}{3} + \frac{2}{5} = \frac{5 + 6}{15} = \frac{11}{15}[/tex]
Hence, applying the proportion, over 10 days, the amount of cartons they drink is given by:
[tex]10 \times \frac{11}{15} = \frac{110}{15} = 7.33[/tex]
Rounding up, they buy 8 cartons, each at £0.7. Hence the total amount spent is given by:
8 x £0.7 = £5.6.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
[tex]\huge\boxed{\sf \frac{5}{8}}[/tex]
Step-by-step explanation:
[tex]\displaystyle =\frac{3}{8} +\frac{1}{4} \\\\LCM = 8\\\\= \frac{3}{8} + \frac{1 \times 2}{4 \times 2} \\\\= \frac{3}{8} + \frac{2}{8} \\\\Add\\\\= \frac{3+2}{8} \\\\= \frac{5}{8} \\\\\rule[225]{225}{2}[/tex]
i need to figure out the surface area, i’m really bad at trianglss
Answer:
(288√3 + 504) square mm
Step-by-step explanation:
Area of two equilateral triangles:
2(1/2)(24)(12√3) = 288√3 square mm
Area of three rectangles:
3(24)(7) = 504 square mm
Total area: (288√3 + 504) square mm
help pls than you you are all the best
Answer:
70
Step-by-step explanation:
[tex]10\div \dfrac 1 7 = 10 \times 7 = 70[/tex]
Answer:
C. | 70
Step-by-step explanation:
C is the correct answer because 10 divided by 1/7 is 70
Hope I helped you!
There are 10 brown socks and 10 grey socks in a dark store room. If you want to make sure you have a pair of matching socks, how many socks must you take out?
Answer:
11 socks
Step-by-step explanation:
they could all be a pair of grey and brown socks but if you pull 11 at least one pair will be pulled
BRAINLIEST TO THE BEST ANSWER WITH SOLUTION
Q=QUARTILE
D=DECILE
P=PERCENTILE
QUESTION:
Given the following data:
2, 3, 5, 6, 8, 10, 12, 15, 18, 20
Find the following:
1. Q1
2. Q2
3. Q3
4. D5
5. D7
6. D8
7. P25
8. P60
9. P75
10. P30
(PLEASE LOOK AT THE PHOTO TO UNDERSTAND)
Answer:
1. Q1 = 5
2.Q2 = 9
3.Q3 = 15
4.D5 = 9
5.D7 = 14.1
6.D8 = 17.4
7.P25 = 4.5
8.P60 = 11.2
9.P75 = 15.75
10.P30 = 5.3
pls help im not sure how to get this
Answer:
use Pythagoras theorem
Step-by-step explanation:
get the opposite square it plus the adjacent side square it also should be equal to the hypotune squared alsox² + (X +17)²= 25² expand (X+17)²x² + x² + 17² + 34x = 6252x² + 34x + 289 = 625 get 625 minus 2892x² + 34 x = 336 divide through by 2X²+ 17 X = 168solve the quadratic equation using any method if I use bulldozer method a=1 b=17 c=-168put in that quadratic formulax=7 or X=-24 but for second value of X is not correct since you can not have a negative length for opposite side
therefore take X=7 as the answer
Your little brother is using a rather large Amazon box (you know, the one with the smile on the end!) to make a car. He colors the sides of the box red and not the top or bottom, has you write the number 95 on the sides, and calls it Lightning. Which term describes the part of the box that he colored?
Answer choices:
Lateral Area
Area
Area Surface
Area Volume
8-51. Enrollment in math courses at Kennedy High
School in Bloomington, Minnesota is shown in the
circle graph at right. If there are 1000 students
enrolled in math courses, approximately how many
students are enrolled in Algebra? In Geometry? In
Calculus?
ASAP PLS
Answer:
(I am assuming this is just approximation since there are no other numbers, just to be clear :))
Algebra: about 450 students
Geometry: about 250 students
Calculus: about 50 students
Which inequality has no solution? 6 (x 2) greater-than x minus 3 3 4 x less-than-or-equal-to 2 (1 2x) negative 2 (x 6) less-than x minus 20 x minus 9 less-than 3 (x minus 3)
From the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
From the given equations, the equation which has no solution has to be found out. When the value, does not equate for the expression, then the expression has no solution.
The first equation given in the problem is,
[tex]6 (x +2) > x-3[/tex]
Solve it further,
[tex]6 x +12 > x-3\\6x-x > -3-12\\5x > -15\\x > -3[/tex]
The second equation given in the problem is,
[tex]3+ 4x \leq 2 (1 +2x)[/tex]
Solve it further,
[tex]3+ 4x \leq 2 +4x\\4x- 4x \leq 2-3\\0\leq-1[/tex]
The value of 0 is greater than the number -1. Thus, this inequality has no solution.
The option 3 and 4 has a solution. Hence, from the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.
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Which of the following expression(s) are fourth-degree trinomials? select all that apply.
A. 3x2y + 5x3y + 6y4
B.6y4 + 5x3 + 1
C. 5xy − 5x2y2 + 7
D.3y3 + 3x3y3
please solve this
(34^2) ^6
Answer:
34^12 - which is approximately 2.386420684^18
Step-by-step explanation:
By the laws of indices:
(34^2)^6
= 34^(2*6)
= 34^12
- which is approximately 2.386420684^18
simplify the expressions below
1. 2(n + 5)
2. 12(x + 5- 3y
3 -(a – 4 + 6b)
Answer:
1. 2n + 10
2. 12x + 60 - 36y
3. -a + 4 - 6b
Step-by-step explanation:
1) Distribute the 2.
2(n) + 2(5)
= 2n + 10
2) Distribute the 12.
12(x) + 12(5) + 12(-3y)
= 12x + 60 - 36y
3) Distribute the negative sign.
note: a single negative sign is the same as -1
a(-1) + -4(-1) + 6b(-1)
= -a + 4 - 6b
hope this helps!
write an equation that passes through the point (3,-9) and is parallel to the x-axis
Answer:
y = -9
Step-by-step explanation:
Any line that is parallel to the x-axis has a slope of 0.
since the y-value in the point is -9, that is the y-intercept.
So, our equation is y = -9.
please help me and answer correctly
Answer:
5(10) + 31= 81
Step-by-step explanation:
x=110 So you plug in 10 for x and multiply 5x10 and then add 31
you have 5 min. thx! bless you!
Answer:
Hi there!
Given :-[tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]
So,
=> [tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]
=> [tex]\:\mathsf{\frac{k+64}{8}\:=\:19}[/tex]
=> [tex]\:\mathsf{k\:+\:64\:=\:19\:×\:8}[/tex]
=> [tex]\:\mathsf{k\:+\:64\:=\:152}[/tex]
=> [tex]\:\mathsf{k\:+\:=\:152\:-\:64}[/tex]
=> [tex]\:\fbox{k\:=\:88}[/tex]
[tex]\:\sf\purple{Hope\:this\:helps\:you!\::)}[/tex]
The table below shows metric units of mass, with the relationship of each unit to 1 gram represented as a power of 10. metric units of mass units power of 10 microgram 10 superscript negative 6 milligram 10 superscript negative 3 centigram 10 superscript negative 2 gram 10 superscript 0 kilogram 10 cubed which statement comparing these measures is true? a microgram is 1,000 times greater than a milligram. a milligram is 10 times greater than a centigram. a centigram is 100 times greater than a microgram. a kilogram is 100,000 times greater than a centigram.
The true statement about the metric unit of mass is (c) a centigram is 100 times greater than a microgram.
How to determine the true statement?To do this, we simply test the options
We have the following highlights from the table of the metric units of mass:
A microgram equals 1000 milligrams. This means that (a) is false1 milligram equals 10 centigrams. This means that (b) is false1 centigram equals 100 micrograms. This means that (c) is false1 kilogram equals 100,000 centigrams. This means that (a) is falseThe above highlights mean that, the true statement about the metric unit of mass is (c) a centigram is 100 times greater than a microgram.
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∠A and \angle B∠B are vertical angles. If m\angle A=(5x+2)^{\circ}∠A=(5x+2)
∘
and m\angle B=(6x-12)^{\circ}∠B=(6x−12)
∘
, then find the value of x.
Answer:
Step-by-step explanation:
What is the surface area of the solid?
Answer:
Step-by-step explanation:
Surface Area of Cuboid= 2(6x3)+2(6x10)+2(3x10)=216m²
Surface Area of Sphere= 4πr²
= 4xπx6²
= 144πm²
Surface Area= 144π+216
Raising livestock is a no easy task. However, Tony believes that investing in this kind of business would be smart. He wanted to start by raising goats. He decided to make an enclosure by erecting a fence around the rectangular piece of land that he owns. Suppose that the land has
an area of 192 m2 and the length is 4m longer than the width. What is the perimeter of the land
that he will fence?
The perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
What is the perimeter of a rectangle?
The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.
[tex]P=2(l+w)[/tex]
Here, (l) is the length of the rectangle and (w) is the width of the rectangle.
The land has an area of 192 m2 and the length is 4m longer than the width. Let suppose the length is l. Thus,
[tex]l=4+w[/tex]
Now the area of rectangle is the product of length and width. Thus,
[tex]A=l\times w\\192=(4+w)\times w\\192=4w+w^2\\w^2+4w-192=0\\w^2+16w-12w-192=0\\w(w+16)-12(w+16)=0\\(w+16)(w-12)=0\\w=-16,12[/tex]
Taking positive side, w=12. The width of the rectangle is 12 m. The length of the rectangle is 4 m longer than the width. Thus, the length of it si 16 m (12+4). Its, perimeter is,
[tex]P=2(16+12)\\P=56\rm\;m[/tex]
Thus, the perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
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I am trying to find the entire surface area of the entire shape. I got 306, but it is wrong.
Is it possible you could help?
Answer:
281
Step-by-step explanation:
12*4 rectangle 2 times because theres 2 of the same surfaces
5*4 rectangle 2 times
12*5 rectangle on the bottom surface 1 time
4 triangle surfaces of (5*5)/2
7*5 rectangle on top
add and you get 281
What is the mean height, rounded to the nearest whole number if necessary? 66 68 69 70
Answer:
69
Step-by-step explanation:
I took the quiz and it's right
Answer:69
Step-by-step explanation:
I just got it correct
In adjoining figure a circle is inscribed in the quadrilateral ABCD given that BC is equal to 38 cm cube is equal to 27 cm and BC equal to 25 cm and that ad is perpendicular to DC find the radius of the circle.
Step-by-step explanation:
Let O be the centre of the circle. Since P and S are the points of contact of tangents AD and DC respectively, OP ⊥ AD and OS ⊥ DC
Also, AD ⊥ DC (given), therefore, OPDS is a square.
BR = BQ = 27cm...(tangents from an external point to a circle are equal in length)
therefore, CR = CB - BR = (38 - 27)cm = 11cm
SC = CR = 11 cm...(tangents from an external point) therefore, DS = DC - SC = (25 - 11) cm = 14 cm.
therefore,
Radius of a circle = OP = DS = 14 cm...(therefore, OPDS is a square).
Hope it helps you!!Answer:
14 cm
Step-by-step explanation:
Given
BQ = BR, AQ = AP, CR = CS, DP = DS = OP = OSBQ = 27 cmBC = 38 cmDC = 25 cmSolving
BQ = BR (given)⇒ BR = 27 cmBC = BR + CR38 = 27 + CRCR = 11 cm⇒ CS = 11cmDC = DS + CS 25 = 11 + DS⇒ DS = 14 cmBut, DS = OS and OP (radii)⇒ Radius = 14 cm
Point A is located at (-3, O) and is rotated 90%. What are the coordinates of point A'?
(-3, 0)
(0, -3)
(3, 0)
(0, 3)
Answer: (0, 3)
Step-by-step explanation:
(x,y) will become (y,-x)