Answer:
f(g(2)) = 29
Step-by-step explanation:
First of all we write the new function defined as the composite function of f and g: f(g(x)) = 3(5x+1) - 2 = 15x + 3 - 2 = 15x -1
Now we can simply "plug in" 2 instead of the x in the function we just obtained: f(g(2)) = 15*2 - 1 = 29
Beatrice watched two films at the theatre. The first she watched was 2 1/6 hours long and the second film was 1 5/6 hours long . Calculate the total length of the two films
Answer:
4 Hours
Step-by-step explanation:
2 1/6 = 13/6
1 5/6 = 11/6
13/6+11/6= 24/6
Simplify 24/6 which will give you 4
Which of the following decimals is equal to 3 1/40
?
please explain why
3.0025
3.025
3.0250
Answer:
3.025
Step-by-step explanation:
the answer is 3.025 because 1/40 simplified is 0.025 and add the 3 to get 3.025
Answer: 3.0250
Step-by-step explanation: To convert this mixed number (fraction) to a decimal just follow these two steps:
Step 1: divide numerator (1) by the denominator (40): 1 ÷ 40 = 0.025
Step 2: add this value to the the integer part: 3 + 0.025 = 3.025. So,
3 1/40 = 3.025
Jose and Gavin are reading the same book. At the beginning of the month, Jose was
on page 10 and Gavin was on page 37. Jose will read 17 pages per day and Gavin will
read 14 pages per day. Let J represent the page of the book that Jose is on at the end
oft days into the month, and let G represent the page of the book that Gavin is on at
the end oft days into the month. Write an equation for each situation, in terms of t,
and determine what page Jose and Gavin will be on on the day they are both on the
same page.
Using linear functions, it is found that:
Jose's equation is: [tex]J = 17x + 10[/tex].Gavin's equation is: [tex]G = 14x + 37[/tex].They will be on the same page on the 9th day.Linear function:A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Jose:
Initially, he was on page 10, hence [tex]b = 10[/tex].He reads 17 pages per day, hence [tex]m = 17[/tex].Hence, Jose's equation is: [tex]J = 17x + 10[/tex].Gavin:
Initially, he was on page 37, hence [tex]b = 37[/tex].He reads 14 pages per day, hence [tex]m = 14[/tex].Hence, Gavin's equation is: [tex]G = 14x + 37[/tex].The day they will both be on the same page is x for which:
[tex]J = G[/tex]
Hence:
[tex]17x + 10 = 14x + 37[/tex]
[tex]3x = 27[/tex]
[tex]x = \frac{27}{3}[/tex]
[tex]x = 9[/tex]
They will be on the same page on the 9th day.
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Which of the following equations could be the equation to represent the given graph? Make sure you explain your answer thoroughly.
Unit 7 Algebra 2a sample work connections academy
The equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
The graph is an exponential function, and it passes through the points:
[tex](x,y) = (1,1)\ (0,2)[/tex]
An exponential function is represented with:
[tex]y = ab^x[/tex]
At (0,2), we have:
[tex]ab^0 = 2[/tex]
This gives
[tex]a(1) = 2[/tex]
[tex]a = 2[/tex]
At (1,1), we have:
[tex]ab^1 = 1[/tex]
[tex]ab = 1[/tex]
Substitute 2 for (a)
[tex]2b = 1[/tex]
Divide both sides by 2
[tex]b = \frac 12[/tex]
Substitute values for a and b in [tex]y = ab^x[/tex]
[tex]y = 2(\frac 12)^x[/tex]
Hence, the equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
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Please help!!!
THE POPULATION OF NEW YORK STATE CAN BE MODELED BY:
==========================================================
Explanation:
We plug t = 220 into the given function. The 220 is from 2020-1800 = 220, i.e. we have a span of 220 years from 1800 to 2020.
[tex]P(t) = \frac{19.71}{1+61.22e^{-0.03513t}}\\\\P(220) = \frac{19.71}{1+61.22e^{-0.03513*220}}\\\\P(220) = \frac{19.71}{1+61.22e^{-7.7286}}\\\\P(220) \approx \frac{19.71}{1+61.22*0.00044005976972}\\\\P(220) \approx \frac{19.71}{1+0.02694045910226}\\\\P(220) \approx \frac{19.71}{1.02694045910226}\\\\P(220) \approx 19.192933558417\\\\P(220) \approx \boldsymbol{19.193}[/tex]
This indicates that the population of New York state in 2020 is roughly 19.193 million.
This converts to 19,193,000 which is 19 million, 193 thousand.
---------------
Extra info:
According to census data (census.gov), the more accurate population figure appears to be 20,201,249 which is a bit over 20.2 million. The given population function isn't too far off.
Determine the slope from the given graph below:
The slope is−17
The slope is 5
The slope is 7
The slope is -5
Answer:
The slope is positive 7
Step-by-step explanation:
The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)
Answer:
The slope is 7
Step-by-step explanation:
(1,2)(0,-5)
[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]
Hope this helps
Raven can walk 2 2/5 miles in 3/5 hour. At this rate, how far can she walk in 1 hour? You might want to change 2 2/5 to an improper fraction in order to make the math easier for you to do.
The distance traveled by Raven in 1 hour at the given rate is 4.0 miles.
The given parameters:
Distance traveled by Raven = 2 2/5 milesTime of motion, t = 3/5 hourThe speed of Raven motion is calculated as follows;
[tex]V = \frac{Distance}{Time} \\\\V = Distance\ \times \ \frac{1}{Time} \\\\V = 2\frac{2}{5} \ miles \ \ \times \ \ \frac{1}{3/5 \ hr} \\\\V = \frac{12}{5} \ miles \ \ \times \ \ \frac{5}{3 hr} \\\\V = 4 \ mph[/tex]
The distance traveled by Raven in 1 hour at the given rate is calculated as follows;
[tex]D = 4 \times 1\\\\D = 4 \ miles[/tex]
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What is the solution to the equation 8b+32=104?
Answer: the answer is b=9
Step-by-step explanation:
Step 1: Subtract 32 from both sides.
104-32= 72
Step 2: Divide both sides by 8.
72 divided by 8 is 9
therefor the answer is 9
There are 9 new books and 5 used books. What is the ratio of all the books on the shelf to the new books
Answer:
14 to 5
Step-by-step explanation:
9 + 5 = 14(total books)
new books = 5
so ratio of total books to new books is 14 to 5
WRITE THE FUNCTION RULE FOR F(X)=-6;X-AXIS
Answer:
-6 is Y
Step-by-step explanation:
When ever the number is outside of the f(x) it is = y.
Given that
P
=
x
−
y
.
Find
P
when:
x
=
15
and
y
=
20
Answer:
the answer would be -5
Step-by-step explanation:
p=15-20 p=-5
factor x[tex]x^{2} -81[/tex]
Step-by-step explanation:
[tex]x^2-81=x^2-9^2=(x-9)(x+9)\\\\\text{Used}\\\\a^2-b^2=(a-b)(a+b)[/tex]
I NEED HELP FOR MY FINALS PLS N TY!!!
1. Compute the length of a rectangle with a perimeter 40.2 in and width of 6.7 in.
Answer:
13.4
Step-by-step explanation:
You would take the width x 2 which is 13.4. Now you subtract the combined width from 40.2. From here you are left with 26.8. Since this is a rectangle the length would be the same on both sides. You divide 26.8 by 2 and you get 13.4.
Given x+2y=-6 solve for y
y= x-6/2
y= -x+6/2
y= -x-6/2
Answer:
y= -x-6/2
Step-by-step explanation:
Given,
x+2y=-6
or,2y=-x-6 (cross multiplication)
or,y= -x-6/2
2 squared all divided by 4
please
Answer:
think answer is 0.5 each
Which inequality represents this statement?
The product of −6 and a number is no less than −12.
−6n≤−12
−6n>−12
−6n≥−12
−6n<−12
Answer:
−6n≥−12
Step-by-step explanation:
The correct inequality to show the given statement is,
⇒ - 6n ≥ - 12
Where, 'n' is any number.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The statement is,
''The product of - 6 and a number is no less than - 12.''
Now, Let a number = n
So, We can formulate the correct inequality is,
⇒ - 6n ≥ - 12
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Select all statements that are true.
All points on the same plane are congruent.
All points on the same plane are congruent.
All segments on the same plane are congruent.
All segments on the same plane are congruent.
All angle on the same plane are congruent.
All angle on the same plane are congruent.
All triangles on the same plane are congruent.
Congruence means equivalence in comparison.
All points on the same plane are congruent. (True)
A point is an exact location .
It can be anywhere on the plane. It has one dimension. The point is always the same.All segments on the same plane are congruent. (False)
A line segment has two end points.It can be of different length.Two line segments are congruent only if they have the same length.Without knowing the lengths of different segments these cannot be termed as congruent.
All angle on the same plane are congruent. (False)
Two angles can only be the same if they have the same position with regard to parallel lines. Two angles can only be same if they have the same degree of measurement.All triangles on the same plane are congruent. (False)
Two triangles are congruent if they have
same lengths of their corresponding sidessame measurements of the three angles of both triangles.The triangles congruence can also be understood by
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The angles congruence can also be understood by
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Simplify
O A. 6^16
O B. 6
O C. 6^4
O D. 1/6
evaluate the expression for h= -6.
Answer:
63-|-6| = 57
Step-by-step explanation:
63-|-6|
63-6
57
Answer:
57
Step-by-step explanation:
Substitute -6 for variable h.
[tex]63-|(-6)|\\63-6\\57[/tex]
3/2x-5=-4/7x+1/5 please
The value of x in the equation is 364/145
The equation is given as:
[tex]\frac 32x - 5= -\frac 47x + \frac 15[/tex]
Collect the like terms
[tex]\frac 32x + \frac 47x= 5 + \frac 15[/tex]
Take the LCM
[tex]\frac{21x + 8x}{14} = \frac{25 + 1}{5}[/tex]
Evaluate the sum
[tex]\frac{29x}{14} = \frac{26}{5}[/tex]
Cross multiply
[tex]145x = 364[/tex]
Divide both sides by 145
[tex]x = \frac{364}{145}[/tex]
Hence, the value of x in the equation is 364/145
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Please hurry!! This assignment is almost due thank you!!
Answer:
x = 33
Step-by-step explanation:
(x-17)°+(5x-1)°=180°
6x-18 = 180
6x = 198
x = 33
Can you solve this? Please ( 15+ points)
Answer:
112+24x
Step-by-step explanation:
2(16+(10*4)+(x*12))
solve the inner bracket
2(16+40+12x)
solve this bracket
2(56+12x)
solve this now
112+24x
Answer:
[tex]24x+112[/tex]
Step-by-step explanation:
First of all we will start with the brackets inside the equation,
1. [tex]2[16+40+12x][/tex]
Now we can multiply 2 by all the values inside the parentheses
2. [tex]32+80+24x[/tex]
I just wanted to confirm that the big X is a variable?
Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.
Select All equivalent expressions to 4( x + 2)
Answer:
3x 3-x and 3+x
please help me on this one thx i really need this one.
Answer:
6 meters
Step-by-step explanation:
Every 7 floors, it goes up by 22.4 meter intervals.
Let's count down,
the 7th floor would be 50.8 - 22.4, which is 28.4.
the 0th floor would be 28.4 - 22.4, which is 6.
Answer:
6
Step-by-step explanation:
PLS SOMEONE HELP ME PLS WITH GEOMETRY
Answer:
They are congruent by SAS
Step-by-step explanation:
MQ=PN
The angles with markings also go together
The line right in the middle is the second side because of the reflexive property
NO LINKS!!!
Purchasing a TV that is 30% off will save $250.
a. What is the part, percent, and whole.
b. What is the original price of the TV?
Answer:
a. part: $250; percent: 30%; whole: $833.33
b. $833.33
Step-by-step explanation:
a. The part is given as $250; the percentage that represents is given as 30%.
The whole is the ratio of the part to the percent:
$250/30% = $250/0.30 = $833.33 . . . whole
__
b. The original price is the "whole" of which 30% is the part.
original price: $833.33
There are nine marbles in a group, and four of those marbles are red. What
fraction of the marbles are red?
IF CAR A TRAVELS AT 45 MI/HR CAR B LEAVES 15 MINUTES LATER TRAVELING AT 60 MI/HR WHEN WILL B CATCH UP TO A
Assume running consumes 93 calories per mile. If you run 8 - minute miles, what is your average power output, in watts?
Average power output, in watts = 0.8103 watts
What is average power?The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.
It can be expressed by the following relation:
P=E/T
Given,
Energy consumed per mile = 93 calories
Time taken to cover 1 mile = 8 minutes
Energy consumed per minute = 93/8 calories
Average power = 93/8 = 11.625 calorie per minute
1 calorie per minute = 0.0697 watt
Average power output in watts = 11.625 × 0.0697
= 0.8103 watt
Hence, 0.8103 watt is the average power output in watt.
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Mean for population data
Answer:
I need only 5 brainlisted please give me
Step-by-step explanation:
please understand my situation