Answer:
Total number of ways are 336.
Step-by-step explanation:
It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find [tex]^8P_3[/tex].
Here, r = 3
So,
[tex]^nP_r=\dfrac{n!}{(n-r)!}\\\\^8P_3=\dfrac{8!}{(8-3)!}\\\\^8P_3=\dfrac{8!}{5!}\\\\^8P_3=\dfrac{8\times 7\times 6\times 5!}{5!}\\\\^8P_3=336[/tex]
So, there are 336 ways.
5. The length of a rectangular sign is 6 inches more than half its width. The area of the sign is 432 square
inches. Find the dimensions of the sign.
Answer:
X = 13.2
Step-by-step explanation:
W = x
L = 2x + 6
A = 432in^2
x(2x + 6) = 432
2x^2 + 6x = 432
Answer:
x=13.2
Step-by-step explanation:
The question says “write with prime number base” and the question is 8 square root 32 (7,d)
Answer:
[tex]2^{\frac{11}{2}}[/tex].
Step-by-step explanation:
We need to write the given expression with prime number base.
In question 7, part d.
The given expression is
[tex]8\sqrt{32}[/tex]
It can be rewritten as
[tex]2^3\sqrt{2^5}[/tex]
Using properties of exponents , we get
[tex]2^3(2^5)^{\frac{1}{2}}[/tex]
[tex]2^3(2^{\frac{5}{2}})[/tex] [tex][\because \sqrt[n]{x}=x^{\frac{1]{n}}][/tex]
[tex]2^{3+\frac{5}{2}}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]2^{\frac{6+5}{2}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]2^{\frac{11}{2}}[/tex]
Here, base is 2 and it is prime number.
Therefore, the required expression is [tex]2^{\frac{11}{2}}[/tex].
Which graph can be used
find the solution for the equation 4x + 2 = x+ 37
Hover over answer image to enlarge
sorry if the image is hard to read. the blue in D in going down the origin.
Please help me - it is due today. I will mark brainleist for whoever gets them correct, first. Thanks!
Answer:
1. -12
2. (135/n) -15
3. -4
4. -56
Answer:
from left to right
1. -12
2. -15
3. -4
4. -56
Step-by-step explanation:
1. divide 108/-9
2. put n with -9 and divide 135/-9
3. divide -96/24
4. multiply -8 * 7 = -56 = n
Identify 2 objects you could find in a grocery store that hold less than 100 millimeters.
Assume that Sunday is represented as day 0, Monday is represented by day 1, and so on. If today is Monday (day 1), determine the day of the week it will be at the end of 155 days. Assume no leap years.
Answer:Wednesday
Step-by-step explanation:
Given
Sunday is considered as 0 day and
Monday as day 1 so Saturday must be considered as day 7
At the end of 155 days
i.e. [tex]\dfrac{155}{7}=22\times 7+1[/tex]
Up to 155 days there are 22 weeks and 1 extra day i.e.
There are 22 Mondays plus 1 extra day i.e. Tuesday
[tex]155^{th}\ \text{day is Tuesday and day after it is wednesday}[/tex]
Can someone tell me,how to do this???pls
Answer:
9x-2w+11y
Step-by-step explanation:
To find the perimeter, add up all the sides
7x-7w + 2x+9y + 2y+5w
Combine like terms
7x +2x -7w +5w + 9y+2y
9x-2w+11y
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is .
The line perpendicular to the line y = –8 is .
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is .
Answer:
x = - 4
Step-by-step explanation:
y = - 8 is the equation of a horizontal line parallel to the x- axis.
A perpendicular line must then be a vertical line parallel to the y- axis.
The equation of a vertical line is x = c
where c is the value of the x- coordinates it passes through.
The line passes through (- 4, - 2) with x- coordinate - 4, thus
x = - 4 ← equation of perpendicular line
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.
Step-by-step explanation:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.
find the area of the trapazoid
Answer:
7.5 square units
Step-by-step explanation:
Since one of the bases of the trapezoid is 4 units long and the other is 1 unit long, while the height is 3, the area of the trapezoid is (4+1)/2 * 3=2.5*3=7.5. Hope this helps!
Answer:
13.5
Step-by-step explanation:
do the ratios 1/3 and 2/9 form a proportion
Answer: No they don't because there is not way 1/3 can be multiplied by a number to get 2/9 and there is no way 2/9 can be divide by any number to get 1/3.
Step-by-step explanation:
Answer:
they do!
Step-by-step explanation:
2/9 / 1/3 = 3/6 = 1/3
So the proportion is 2 to 1
Kay leaves a $6 tip for a $40 bill. What percent tip did kay leave?
Answer:
15% tip
Step-by-step explanation:
6/40= 0.15= 15%
Answer:
15% tip.
Step-by-step explanation:
you can divide $6 by $40. this will give you .15 or 15%.
PLease Solve Quick 20 points! brainiest to whoever answers first and correctly!
The function f satisfies
f(sqrt(x+1))=1/x
for all x>=-1.
Find f(2)
Answer:
f(2)=1/3
Step-by-step explanation:
x=3
f(sqrt(3+1))=1/3
f(sqrt(4))=1/3
f(2)=1/3
How many triangles can you make if you are given these three lengths for sides
Answer:
a lot of triangles
Step-by-step explanation:
hope this helps please give me brainiest
Answer:
In traditional power stations, the original energy source spins a turbine which connects to an electric generator. The generator converts mechanical energy into electrical energy. This working is based on which fundamental principle of physics?
A.
Newton’s law
B.
Ohm’s law
C.
Stoke’s law
D.
Faraday’s law
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest !!!!!!!!
Answer:
a.............
........
Answer:
A.
Step-by-step explanation:
So the d in this case is 2. D is the number of kilometers Erica walked.
T is the vertical distance.
Find the right choice:
After she had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometers.
Which of the following represents the sum of the series below 4+7
Answer:
The sum is addition ----- 11 is the answer
Step-by-step explanation:
What is a quartile of 35, 45, 50, 65,85
Answer:
Lower quartile: 21.5
Median: 45
Upper quartile: 57.5
Step-by-step explanation:
pls mark brainliest
what is 5(2x + 3y) + 7(3x –y) simplified
Look at the attached picture
◖⚆ᴥ⚆◗
Answer: The answer is 31x+8y
Step-by-step explanation:
(5)(2x)+(5)(3y)+(7)(3x)+(7)(−y)
=10x+15y+21x+−7y
Combine Like Terms:
=10x+15y+21x+−7y
=(10x+21x)+(15y+−7y)
=31x+8y
PLEASE HELPPPP!!!!!!
Answer:
C = 3 √ 5
(since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5
B √ 9*5 is true but not simplified.
We need to find a square numbers that divide into 45
We find 9
And show a * b = c
c= 45
so a * b = 9 * 5 = 3√ 5 is how we arrange this to simplify.
Step-by-step explanation:
The list is
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
We see there are 10 perfect squares 1-100
5 are 1-25
then think 6 , 7, 6 , 9 ,10 squared/ if you cant list them too quickly.
how can you convert inches to yarfs? would you multiply or divide when converting from a smaller unit to a large unit? explain
Answer:
You would divide
Step-by-step explanation:
If x=12 and y=3, what is the value of x−y2?
6
18
3
81
Answer:
6 OR 3. Read explanation
Step-by-step explanation:
12-(3*2)=12-6=6
But I am guessing there may be a formatting error and you are trying to find y^2, so here goes.
12-(3^2)=12-9=3
Hope I patched up the holes. Good luck with homework :)
Which best describes the sides of all trapezoids?
All sides are different lengths.
. Only one pair of sides is parallel.
o Opposite sides are parallel.
O All sides are the same length.
Answer:
only one pair of sides is parallel
PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!
A recipe uses 4 c of rice to every 5 c of beans. How many cups of beans are needed for 10 c of rice?
Answer:12.5
Step-by-step explanation:
10 c of rice is 2.5x the recipe, so you just have to multiply 5 x 2.5 to the amount of beans.
√(81+18√(7)+7)
(not decimal form)
Answer:
[tex]\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}[/tex]
Step-by-step explanation:
[tex]\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7[/tex]
Solve the equation using the distributive property and properties of equality
-5 (a + 3) = -55
What is the value of a?
Answer:
8
Step-by-step explanation:
1. distribute -5a-15= -55
2. get rid of -15 by adding 15 to both sides of the equation
-5a=-40
3. divide each side by -5 to get a
a=8
What is the perimeter of this square?
Answer:
144 cm
Step-by-step explanation:
P=4l
P=4*36
P=144 cm
Answer:
144 cm
Step-by-step explanation:
Since the shape is a square, all the lengths are the same. so to solve, add all the lengths together. Either (36+36+36+36) or 36*4. 36*4=144. So, the answer is 144 cm
What is the completely factored form of 3x^5-7x^4+6x^2-14x?
Answer:
x(x - 7)(x^3 + 2)
Step-by-step explanation:
Note that x is a common factor here:
3x^5-7x^4+6x^2-14x = x(3x^4 - 7x^3 + 6x - 14), or:
x(3x^4 - 7x^3 + 6x - 14) Note that 6x - 14 can be rewritten as 2[x - 7]
and that 3x^4 - 7x^3 can be rewritten as x^3[x - 7]
Therefore, x(3x^4 - 7x^3 + 6x - 14 becomes:
x(x - 7)(x^3 + 2)
Dan bought four candy bars for a total $24.96. How much did each candy bar cost? Thank you
Answer:
Each one is $6.24
Step-by-step explanation:
You have to divide 24.96 by 4
You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the number of times you drink all the water in your bottle, and l is the number of liters of water you drink. The relationship between these two variables can be expressed by the following equation: l=0.5b.
Identify the dependent and independent variables.
Answer:
The independent variable is b and the dependent variable is l
Step-by-step explanation:
The independent variable is b and the dependent variable is l
The independent variable is the one you change, and the dependent variable is changed when you alter the independent variable
Skis at a sports store near Snow Summit are on sale for $475. If the original price was $500,what discount rate(percent change) does this represent?
Answer: 5%
Step-by-step explanation:
Hi to answer this question, first we have to calculate the discount amount:
Original price - sale price
500-475 =25
Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)
500x =25
Solving for x
x =25/500 =0.05
Multiply it by 100 to express in percentage form.
0.05 x 100 = 5%
Feel free to ask for more if needed or if you did not understand something.