Answer:
13 hours
Step-by-step explanation:
Set up a proportion. 204:17 and 156:x
204 156
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17 x
Cross multiply. 204x=156*17, 204x=2652, x=13
Answer:
13 hours
Step-by-step explanation:
First divide 204 and 17
then divide the number you got by 156
The one-to-one functions g and h are defined as follows.
=g, , −7 1, , −4− 8, , 6 7 , 7− 3
=hx−2x3
Find the following
Answer:
g^−1(7) = 6
h^−1(x) = x/2 + 3/2
(h^−1 ∘ h)(3) = 3
Step-by-step explanation:
If
g(6) = 7
Then
g^−1(7) = 6
h(x) = 2x - 3
Isolate x:
2x = h(x) + 3
x = h(x)/2 + 3/2
Replace x with h^−1(x) and h(x) with x:
h^−1(x) = x/2 + 3/2
We know that:
(h^−1 ∘ h)(x) = x
then:
(h^−1 ∘ h)(3) = 3
Dustin works in a department store. He earned $89.00 for working 10 hours last week. At this rate, how much would Dustin earn for working 38 hours?
Answer:
$338.20
Step-by-step explanation:
Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,
89/10=8.9
$8.9 per hour
So 38 hours would be
8.9 x 38= $338.20
Answer:
$338.20
Step-by-step explanation:
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137
Answer:
The probability that exactly half of the colonies will thrive = (1/3) = 0.3333
Step-by-step explanation:
The list of random numbers simulates the out comes of 4 colonies.
Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?
The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.
Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.
The 6 trials are given as
4285; 3 colonies thrive, 1 doesn't.
6903; 3 colonies thrive, 1 doesn't.
3829; 2 colonies thrive, 2 don't.
7871; 1 colony thrives, 3 don't.
2868; 2 colonies thrive, 2 don't.
5137; 3 colonies thrive, 1 doesn't.
The number of trials where exactly 2 colonies thrive = 2
The total number of trials = 6
The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333
Hope this Helps!!!
what does the numerator of the fraction 10/6 mean?
Answer:
6
Step-by-step explanation:
Write the number in standard form. 6.45×10^−4
Answer:
.000645
Step-by-step explanation:
.0006.45
move the decimal place 4 places to the Left because it is a negative.
PLEASE HELP ME
I NEED IT
Answer:
[tex]\sqrt{24}[/tex]
Step-by-step explanation:
[tex]4\frac{4}{9}[/tex] cannot be correct because it equals 4.4.
[tex]\sqrt{20}[/tex] cannot be correct because it equals 4.5.
480% is 480/100 which equals 4.8 which is also not correct.
Therefore, [tex]\sqrt{24\\}[/tex] is correct because it is greater than 4.8 and less than 5.0.
It costs Trevor $50 to have a security system installed in his house. He pays a monthly service fee plus tax of 6% of his monthly bill. After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation. Trevor’s monthly service fee, not including taxes, is ___.
Answer:
$49
Step-by-step explanation:
Cost of security system installation = $50
Let the monthly service cost be $x
In 6 month monthly service cost = 6*$x= $6xtax percentage = 6% of monthly service cost
hence if monthly service cost is $x
Then Tax value in terms of x is = 6% of $x = 6/100 * $x =$ 0.06x
In 6 month, Tax value in terms of x = 6 * $0.06x = $.36x_______________________________________________
Therefore total cost incurred by Trevor in 6 month including installation charges =
6 month monthly service cost + Tax value in 6 month + installation cost
Substituting value of 6 month monthly service cost , Tax value in 6 month , installation cost in above expression we have
Therefore total cost incurred by Trevor in 6 month including installation charges = $6x+ $0.36x+ $50 = $6.36x + $50
But it is given that After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation
Therefore total cost incurred by Trevor in 6 month including installation charges is also equal to $361.64
Hence,
$6.36x + $50 = $361.64
=> $6.36x = $361.64 - $50
=>$6.36x = $311.64
=> x = $311.64/6.36
=> x = 49.
Therefore , Trevor’s monthly service fee, not including taxes is $X which is equal to $49.
complete the square to form a perfect-square trinomial.
2. x^2 - 4x + ?
4. x^2 + 12x + ?
6. x^2 + 18x + ?
(just tell me what the number is for the ? on each problem.)
Look at the attached picture
Hope it will help you.
Good luck on your assignment
find the area of the trapezoid could you go
Answer: 11.31372
Step-by-step explanation:
Find the height using pythagorean theorem1+b^2=9
you should get radical 8
2. Then plug your values into the formula and you get your answer
Math question down below
Answer:
12 large books
Step-by-step explanation:
Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.
Answer:
a-1yd20in
Step-by-step explanation:
a-4ft 8in
b-4ft
c-3ft 4in
d-3ft
Answer:
it's A, one yard and 20 inches
Step-by-step explanation:
If you convert them all to inches, a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.
Henry starts the day with $30. He and his sister go to the fair. He pays for his own admission of $10,but fails to notice that $15 falls out of his wallet while he is paying. His sister lends him $10 so that he can still enjoy the fair. Write the equation that illustrates his day’s financial events.
Answer:
30-10-15+10
Step-by-step explanation:
Answer:
15 is the awnser
Step-by-step explanation:
30-10-15+10=15
1) write down a different ratio equivalent to 12 : 3
2) write down a different ratio equivalent to 30 : 24
Answer: 1) 4:1 2) 60/48
Step-by-step explanation:
1. 12: 3 is the same as 12/3 so you can diving both side by 3.
12:3 ÷ 3/3=4/1
2. 30:24 is the same as 30/24 so you can divide both sides by 6 or multiply both sides by 2.
30/24 * 2/2= 60/48
Which of these graphs represents a function
A.w
B.x
C.y
D.z
The correct option is D. The graph z is representing a quadratic function.
What is a quadratic function?In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
The general form of the quadratic functions is represented as below:-
y = ax² + bx + c
Where a,b, and c are the constants x and y are variables.
The graph of the quadratic functions will be parabolic on the x-y plane.
Therefore, the correct option is D. The graph z is representing a quadratic function.
To know more about a quadratic function follow
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What is the solution to the equation sqrt5X-7= sqrt3X+5?
x = 1
x = 6
x = 12
x = 24
Answer:
X=6
Steps are in the picture
Given the line 2 x - 3 y - 5 = 0, find the slope of a line that is perpendicular to this line. A.3/2
B.2/3
C.- 3/2
Answer:
Step-by-step explanation:
2x - 3y = 5
-3y = -2x + 5
y = (2/3)x - 5
the perpendicular slope is -3/2
the answer is c
Answer:
the perpendicular slope is -3/2
Step-by-step explanation:
Select all correct conversions.
53 km = 5,300 m
23 cm = 2.3 mm
15 m = 1,500 cm
79 m = 0.079 km
117 mm = 0.117 m
(Which ones are correct?)
The correct conversions are:
15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?It is a multi-step process that involves multiplication or division by numerical factor, selection of the correct numbers of significant digits, and rounding.
Equivalent Measurements:
[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]According to the given question:
53km=53×1000m=53000m (1km=1000m)23cm=23×10mm=230mm (1cm=10mm)15m=15×100cm=1500cm (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex] (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex] (1mm=[tex]\frac{1}{100} m[/tex])Hence, the correct conversions are
15m=1,500cm79m=0.079km117mm=0.117mLearn more about the unit conversion here:
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Three listening stations located at (3300, 0), (3300, 4400), and (-3300, 0) monitor an explosion. The last two stations detect the explosion 4 seconds and 4 seconds after the first, respectively. Determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)
Answer:
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i10 Njan malayalam verupikkal is my job
I need the answer to this question
HELP ASAP PLEASEEEE!
Answer:
it is c
Step-by-step explanation:
Suppose f(x) =
[tex] {x}^{2} [/tex]
. What is the graph of g(x)=1/2f(x)?
Answer:
It's D.
Step-by-step explanation:
The 1/2 stretches the graph horizontally of x^2 by a factor 1/2.
Option-D will represent the required graph of the function [tex]g(x) = \frac{1}{2}f(x)[/tex].
What is a function?"A function is defined as a relation between a set of inputs having one output each."
The given function:
[tex]f(x) = x^{2}[/tex]
Therefore the required function is:
[tex]g(x)\\= \frac{1}{2}f(x)\\= \frac{1}{2}x^{2}[/tex]
By putting the values of 'x' as -2, -1, 0, 1, 2 etc. we get:
[tex]g(-2) = (-2)^{2} = 4\\ g(-1) = (-1)^{2} = 1\\ g(0) = (0)^{2} = 0\\ g(1) = (1)^{2} = 1\\ g(2) = (2)^{2} = 4[/tex]
By plotting this value, we get option-D is the graph that represents the function g(x).
Learn more about a function here: https://brainly.com/question/12251916
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find the vertex of the parabola represented by the function f(x)= -2x^2
5 CR
UTION
Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the
equations of the system is y = 3x – 1. Which could be the other equation?
y = 3x + 2
3x - y = 2
3x - y = 1
3x + y = 1
Done
Answer:
3x - y = 1
Step-by-step explanation:
The system:
[tex]$\left \{ {{y = 3x -1} \atop {y = 3x + 2}} \right. $[/tex]
There is no solution to this system of equations.
The system:
[tex]$\left \{ {{y = 3x -1} \atop {3x - y = 2}} \right. $[/tex]
[tex]$\left \{ {{y = 3x -1} \atop { y = 3x-2}} \right. $[/tex]
The is one solution to this system.
The system:
[tex]$\left \{ {{y = 3x -1} \atop {3x - y = 1}} \right. $[/tex]
[tex]$\left \{ {{y = 3x -1} \atop { y = 3x-1}} \right. $[/tex]
There are infinity solutions to the system.
The system:
[tex]$\left \{ {{y = 3x -1} \atop {3x + y = 1} \right. $[/tex]
[tex]$\left \{ {{y = 3x -1} \atop { y = 1-3x}} \right. $[/tex]
The is one solution to this system.
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?
Simplify, using the distributive property and then combining like terms. 5c+2(10−c)
Answer:
3c +20
Step-by-step explanation:
5c+2(10−c)
Distribute
5c+ 20 -2c
Combine like terms
3c +20
Answer:3c+20
Step-by-step explanation:
Distribute
5c+(2)(10)+(2)(-c)
5c+20+-2c
Combine Like Terms:
(5c+-2c)+(20)
3c+20
Hope I helped:)
1: The value of an object after t years can be modeled by the function v(t) = 1500 - 120t
Find the value of the object after 20 years.
Answer:
5
Step-by-step explanation:
Is this SAS or Not SAS?
the special assault squad or the SAS where oppressive soldiers sent from england to murder irish people for fighting for freedom
what is the greatest common factor of 33,15
Answer:
The answer is 3
Step-by-step explanation:
need help again lol plz
please help me! thank you
Answer:
13 pounds happy to help mark me as brainliest pls!!!
Step-by-step explanation:
