We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.
After screwing in those 3 red bulbs, there remain only 6 open sockets.
We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.
After screwing in those 4 red bulbs, there remain only 2 open sockets.
We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.
After screwing in those 2 bulbs, all the sockets have a bulb in them.
Answer (9C3)(6C4)(2C2) = 1260.
27 red bikes out of 33 bikes
Greg paid $324.50 for guitar lessons. He paid a $124.50 registration fee and $40 for each week he was enrolled in lessons. What is w, the number of weeks Greg was enrolled in guitar lessons?
Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе ԁօmаіn іѕ {-3, 9, 15}.
Answer:
Range: {-5, 19, 31}
Step-by-step explanation:
Given the linear function, f(x) = 2x + 1, and the domain, {-3, 9, 15}.
In order to determine the range of the given linear function, simply substitute each domain value as inputs into the function.
x = -3f(x) = 2x + 1
f(-3) = 2(-3) + 1
f(-3) = -6 + 1
f(-3) = -5
x = 9f(9) = 2x + 1
f(9) = 2(9) + 1
f(9) = 18 + 1
f(9) = 19
x = 15f(15) = 2x + 1
f(15) = 2(15) + 1
f(15) = 30 + 1
f(15) = 31
Therfore, the range of the function is: {-5, 19, 31}.
A 13 foot ladder is placed
5 feet away from a wall
How many feet up the wall
will the ladder reach?
Answer: 12 feet up
Step-by-step explanation:
This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs. Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)
[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]
N.B. There are some very useful sets of numbers that can help you with this unit.
They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles. The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))
Hope it helps :) and let me know if you want me to elaborate further.
Help pls!!!!!!
Yghhjjhgf
Answer:
[tex]\sf{Exact\:form:\\\sqrt[4]{81}\\[/tex]
[tex]\bold{Decimal\:form:-3}[/tex]
Step-by-step explanation:
[tex]-81^\frac{1}{4}[/tex]
[tex]\mathrm{Convert\: to\: radical\: form\: using\: the\: formula\:}\: a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]
[tex]\mathrm{If\:} n \mathrm{\:is\: a\: positive\: integer\: that\: is\: greater\: than\:} x\mathrm{\:and\:} a \mathrm{\:is\: a\: real\: number\: or\: a\: factor, then} \\a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]
[tex]\mathrm{Use\: the\: rule\: to\: convert\: -81^\frac{1}{4}\: to\: a\: radical, where\:} a=-81,\ x=1, \mathrm{and\:} n=4\\\sqrt[4]{81}[/tex]
[tex]\mathrm{Plug\: the\: points:}\\\\a^\frac{x}{n} = \sqrt[n]{a^x}\\-81^\frac{1}{4} =\sqrt[4]{81}[/tex]
[tex]\mathrm{Solve}\\\\\mathrm{The\: result\: can\: be\: shown\: in\: multiple\: forms.}[/tex]
You are asked to prepare 900mls of 3% sucrose. How much sucrose do you need?
Answer:
27g of sucrose
Step-by-step explanation:
You would need 3g of sucrose per ever 100ml and you have 900ml therefore 27g
Which equation has a solution of r = 1/3
Answer:
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A.
2 2/3 + r = 3
r = 3 - 2 2/3
r = 1/3
B.
r - 1 = 2/3
r = 1 2/3
C.
3r = 1/3
r = 1/9
D.
4r = 12
r = 3
Answer: A.
plz help!!!!!!!!!!!!!!
Step-by-step explanation:
Use the exterior angle theorem
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle
82+ x = 2x + 18
64 = x
PQS angle = 2x + 18 = (2×64) + 18
= 146
John drives from home to his
parents house and then to a
cafe. His parents house is 13
miles south of his home and
the cafe is 6 miles east of his
parents house. What is the
distance, in miles, between his
home and the cafe SHOW YOUR WORK
Answer:
13=6 and no
Step-by-step explanation:
Answer:
The distance is 19 miles
Step-by-step explanation:
I know that because you have to add how many he drove to his parents and the amount of miles driven to the cafe and then it will give the total amount driven.
Expand 5(2x-4) please please
Answer:
10x - 20
Step-by-step explanation:
Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.
Use the table below to answer the following question,
2:
хо 1 2 3 4 5 6
y 100 200 400 800 1,600 3,200 6,400
Which equation BEST fits the data given in the table?
se 3:
Of(x) = { (200)*
Of(x) = 100(2)*
uge 4
f(x) = 200)
age 5
Of(x) = 200(2)*
5
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Answer Of(x) = 200(2)
Step-by-step explanation:
Of(x) = 200(2)
VERY EASY IF YOU TYPE RIGHT AWSNER I WILL MARK AS BRAINLISt 5th grade super easy
Answer: 2
Step-by-step explanation:
2/7 + 13/14 = 1 3/14
4/14+13/14 = 17/14
I need help really bad! I have literally no clue what the answer is to this question
Answer: C is the answer
Answer:
The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value
A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?
Fill in the blank with a number to make a true statement. *
0.25 / ? = -0.25
x^3-3x^2+x-2/10x^4-14x^3-10x^2+6x-10
Answer:
The quotient is 10x+16
The remainder is 28x^2+10x+22
PLS HELP HELPPPPPPP!!!!!!!!!
Answer:
[tex]18ft[/tex]
[tex] \frac{bm}{ba} = \frac{bn}{bc} \\ \frac{4}{8} = \frac{3}{6} \\ \frac{1}{2 } = \frac{1}{2} [/tex]
Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?
Choose all of the equations that are equivalent to 8k = 20.
Answer:
D
Step-by-step explanation:
it's 100% I'm super sure
PLEASE HELP EXPLAIN !! SHOW WORK FOR BRAINLIEST Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.0004, what is the pH of the substance, rounded to the nearest tenth?
3.4
Step-by-step explanation:
The pH or acidity of a solution is given by the equation
[tex]pH = -\log{[H]}[/tex]
where [H] is the concentration of [tex]H^+[/tex] ions. If the [tex]H^+[/tex] concentration is 0.0004 (=[tex]4×10^{-4}),[/tex] then its pH level is
[tex]pH = -\log{(4×10^{-4})} = 3.4[/tex]
Find the cardinal number of the set:
C={1/x x is an integer that's greater than or equal to 4 and less than or equal to 9}.
Answer: 6
Step-by-step explanation:
Ok lemme actually format this set
[tex]$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$[/tex]
Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just
[tex]$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$[/tex]
which has cardinality [tex]\boxed{6}[/tex] .
odd numbers between 20 and 46 that are mutiples of 3
Answer:
h
Step-by-step explanation:
h
Answer:
they should be 21 27 33 39 45
Step-by-step explanation:
:)
Benji took out a $10,000 loan at a 13% interest rate. Benji will not make a payment for the next 3 years. How much will be owed in 3 years with monthly compounding?
Round your answer to the nearest cent.
(please help)
Answer:
Plug into calc
Step-by-step explanation:
A= P(1+r/n)^nt
A= 10000(1+.13/12)^12*3
What is the answer I’m so stuck on this one
the answer is B
P/s : i use my calculator
ok done. Thank to me :>
Option A is the answer
does anybody know this?
Answer:
8 5/9
Step-by-step explanation:
6 1/3 + 2 2/9
Get a common denominator of 9
6 1/3 *3/3 + 2 2/9
6 3/9 + 2 2/9
8 5/9
The letters A, B, and C can be arranged in six ways. Five ways are listed below.
Find the sixth way.
АВС ACB BAC ВСА САВ
Answer:
CBA would be the sixth
Step-by-step explanation:
Find 3 ordered pairs for each equation
Y= 5x+1
Y=10 - x
Y= 2x
Would anyone help me with this please, worth 20 pts.
Answer:
Below in bold.
Step-by-step explanation:
The perimeter = length of 3 sides of the square + 1/2 the circumference of the circle. The radius of the circle = 2.5 in and its circumference = 2π r and 1/2 of this is π r.
So the perimeter = 3*5 + π r
= 15 + 2.5π
= 22.85 in to the nearest hundredth.
Reasoning if you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain.
To find the other angles in a parallelogram if only one is given then you need to subtract the number with 180 to find the consecutive angles. With the theorem 6-5 opposite angles are congruent, so the opposite side would have the same value.
If you earn 15% on your investment how long will it take for your money to double using the rule of 72
Answer:
If you earn 15% the answer will be 10.8
Step-by-step explanation:
I know this because if you use the rule of 72 you will have to divide the two numbers together and the you will come out with 10.8