Answer:
His hourly rate is $8.15.
Step-by-step explanation:
The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).
So what we need to do is to divide that amount ($342.3) by 42.
And we get $8.15.
Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from where y is not a vowel
The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.
There are 10 vowels (5 of lowercase and 5 of upper case).
Thus, 10 ways of choosing the first letter.
Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).
Similarly, third and fourth letter can be any of the 52 letters.
Thus, using the product rule, the number of ways of making the four letter password is:
[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]
(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).
We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.
Thus, the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
Learn more about rule of product combinations here:
https://brainly.com/question/2763785
F(4p + 3) = 8 - 5(4p + 3)
=============================
[tex]\large\bold{Equation:}[/tex]
[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex][tex]\large\bold{Solution:}[/tex]
Let's solve for f
[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]
1st step: Factor out variable f
[tex]\large\sf{F(4p+3)=−20p−7}[/tex]2nd step: Divide both sides by 4p+3
[tex]\large\sf{ \frac{F(4p + 3)}{4p + 3} = \frac{ - 20p - 7}{4p + 3} }[/tex][tex]\large\sf{F = \frac{ - 20p - 7}{4p + 3} }[/tex][tex]\large\bold{Answer:}[/tex]
[tex]\large\tt{F = \frac{ - 20p - 7}{4p + 3} }[/tex]===================================
How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!
^^
Solve pls brainliest
Answer:
$13.80
Step-by-step explanation:
69 · 20% = 13.8
URGENT!!!! i'll mark u as brainliest!
Answer:
a) 180°
b) 360°
c) 180° (Interior angles)
d) 180°
e) (n-2)180
f) Equal
g) Equal
h) Equal
Step-by-step explanation:
30 POINTS, IM TO LAZY TO DO THIS AND IT WAS DUE TWO WEEKS AGO SO UH PLEASE HELP.
Answer:
the first answer should be the answer of second one, and the first answer is "s + t = 28"
the third questions answer is 28 t shirts and 4 sweatshirts.
and the forth question answer is 4 sweatshirts.
I hope this helps.
Help needed, this is timed :’)
Answer:
Step-by-step explanation:
last answer
How many times can you subtract 10 from 100?
(hint hint, trick question)
Answer:
1 time
Step-by-step explanation:
Find the perimeter. Simplify your answer.
F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?
(A) 5yards
(B) 7yards
(C) 8yards
(D) 10yards
(E) 17yards
22.45=x+5y,
27.45=x+7y
Answer
7
Step-by-step explanation:
express \sqrt{3} - \frac{2}{\sqrt{3} } [tex]\sqrt{3} - \frac{2}{\sqrt{3} }[/tex]
[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]
ok done. thank to me :>
translating the following mathematical expressions into phrases
[tex]x^{2}[/tex]-12
[tex]\frac{2x}{3} +1[/tex]
[tex]x^{3}-8[/tex]
Answer:
1) a number squared, reduced by 12
2) the quantity of twice a number divided by 3, increased by 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first expression reads "x squared less (or minus) 12."
The second expression becomes "the quotient 2x/3 plus one." Note that 2x/3 must be computed before "one" is added, due to order of operations rules.
The third expression reads "8 less than the cube of x."
3. At lunchtime, Rolly stayed in the library for hour. After school, he went back to the library to do research for hour. How much longer did he stay in the library after school than at lunchtime?
Solution please
Answer:
ask your momma or dad bozo!!!!!!
Step-by-step explanation:
Show all the calculation if it is a numerical question.
There was a sample of 350 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 7.3% each year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .
Answer:
y = 350*0.927^tStep-by-step explanation:
Initial amount = 350 mgDecay = 7.3% per year or 0.073Time = t yearsFinal mass = yThe equation:
y = 350*(1 - 0.073)^t = 350*0.927^tWrite the standard form of the equation of the circle with a radius of 7 and center (2,-4).
(x+2)2+(y-4)2=49
(x-2)2+(y+4)2=49
(x+2)2+(y-4)2=7
(x-2)2+(y+4)2=7
( x - 2 )² + ( y + 4 )² = 49
.........................................
Please help me I do not understand what to do or what the answer is.
Answer:
the slope is
2/3x+2
Hope This Helps!!!
is 60:45 and 4:3 are equivalent ratios
Answer:
yes
Step-by-step explanation:
if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.
Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81
Answer:
It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is always the same.
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
In a geometric sequence, each consecutive term was multiplied by some factor over the last.
[tex]a_n=ax^n^-^1[/tex]
where aₙ is the nth term, n is the index, and x is the scale factor.
In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.
The formula for this sequence would be:
[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]
Answer:
r = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If the sequence is geometric then there will be a common ratio r between consecutive terms , that is
r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃
Then
a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]
a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]
a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]
In november 2010 the average cost of 5 gallons of regular undleaded gasoline in the united states was $14. 46 what was the average cost for 16 gallons for gas.
Answer:
The answer is 426.72.
Step-by-step explanation:
Take the number 14.46 and divide it by 5, and after that take that number and multiple it by 16.
Ajoba and Prav drive to work. Ajoba drives 45 miles in 2.5 hours. Prav drives 74 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km
Answer:
30.4 km/h
Step-by-step explanation:
Ajoba: 45 miles = 72 km ; 2.5 hours
Prav: 74 km ; 1 hour 15 min = [tex]\frac{5}{4}[/tex] hours
Ajoba's average speed: 72 ÷ 2.5 = 28.8 km/h
Prav's average speed: 74 ÷ [tex]\frac{5}{4}[/tex] = 59.2 km/h
Difference: 59.2 - 28.8 = 30.4 km/h
The ratio of collectible coins Juanita owns to coins that Elia owns is 3:1. Elia has 32 coins. How will the ratio of Juanita’s coins to Elia’s coins change if they both sell one fourth of their coins? Explain.
PLS HELP NEED THIS IN 1 HOUR 25 POINTS!!!!
The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the amount of time that the money is accruing interest.
f(x) = 500(1 + 0.02)x
500
1
0.02
x
Answer:
500: starting amount
(1 + 0.02): interest/growth rate
x: time
Step-by-step explanation:
The graph of a function f is shown below.
Find f (2)
Answer: f(2) is 3.
Step-by-step explanation:
f(2) just means "what is the vale of the function, f, when x = 2? Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3. So f(2) = 3.
======
[One could also determine the equation for the line. Provided below.]
The slope is -(1/2) and the y-intercept is 4:
y = -(1/2)x + 4
For x=2,
y = -(1/2)*(2) + 4
y = 3
y(2) = 3
parallel perpendicular or neither
Answer: perpendicular
Step-by-step explanation: an opposite reciprocal makes it perpendicular.
example
1/2 and -2 are opposite reciprocals
1/2 and 1/2 are parallel
1/2 and -4/3 are neither
Answer:
The answer is perpendicular
Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.
m=3-1/3+2=2/5
Equation of line in point slope. form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]
[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]
[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]
The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
What is the slope of the line?The slope of a line is defined as the angle of the line.
Given that line passes through the points (-2, 1) and (3, 3)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -2, y₁ = 1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]
⇒ y - 1 = (2)/(5)[x+2]
⇒ y - 1 = 2/5(x -3)
⇒ y = (2/5)x - 6/5 + 1
⇒ y = (2/5)x - 1/5
Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
Learn more about the Lines here:
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BRAINLIEST
Can you help me finish these
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLZZZ HELP
Find the length of X
Step-by-step explanation:
x=8 this is the answer have a nice night or day!
The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?
I need help so I can turn in my Packet?!?!?
A store is selling a tv that costs $355 for $15% off. How much is the tv.
Answer:
301.75$
Step-by-step explanation:
have a good day
is 3/4 greater than 1? i need help please
Answer:
No.
Step-by-step explanation:
3/4 = 0.75.
=> 0.75 < 1
Hoped this helped.