Answers
Answer:
an = a+4n-4
Step-by-step explanation:
Related Questions
the solution of the pair of linear equation: 2x+3y=6 and 3x-5y=2 are.............
Answers
Step-by-step explanation:
just simplify the above equation and substitute in the second one.
Answer:
Step-by-step explanation:
2x+3y=6 -----1
3x-5y=2-----2
solving by elimination method,
multiply eq1 with3
multiply eq2 with2
you will get,
6x+9y=18----3
6x-10y=4----4
eq3-eq4=
19y=14
y=14/19------5
substitute eq 5 in eq 1
you will get,
x=50/19...
hope it helps...pls mark brainliest if it does...
Please help me. Area of a circle
Answers
Answer:
Area = πr²
= π * 2²
= 3.14 * 4
= 12.6
Answer:
[tex] \boxed{\sf Area = 12.6 \: {cm}^{2}} [/tex]
Given:
Radius of circle (r) = 2 cm
To Find:
Area of circle
Step-by-step explanation:
[tex] \sf Area \: of \: circle = \pi {r}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {2}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3.14 \times 4 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =12.56 \: {cm}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \approx 12.6 \: {cm}^{2} [/tex]
The accompanying graph shows the amount of
water left in Rover's water dish over a period of
time.
Amount of Water in Rover's Water Dish
500
400
300
Amount of Water (mL)
200
100
0 15 30 45 60 75 90 105
Time (seconds)
How long did Rover wait from the end of his first
drink to the start of his second drink of water?
A
10 sec
B. 30 sec
C. 60 sec
D. 75 sec
Answers
Answer:
The answer is B. 30 seconds
Plz help me I don't know how to do this!!!!
Answers
Answer:
x = 25
Step-by-step explanation:
Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)
Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:
c^2 - a^2 = b^2
50^2 - 25^2 = b^2
2500 - 625 = b^2
1875 = b^2
√1875 = b
43.30127019
now you put that into the expression: x√3:
x√3 = 43.30127019
x = (43.30127019) ÷ (√3)
x = 25
Hope this helped!
PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?
Answers
Hey there! :)
Answer:
y = 0, also known as the x-axis.
Step-by-step explanation:
The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.
There is an asymptote at y = 0, or the x-axis because:
[tex]\frac{2}{3} ^{x}\neq 0[/tex]
An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.
a miving company's moving rates can be represented by the function f(x)=3x+400, where x is the number of miles for the move. Another moving company's rates can be represented by the function g(x)=5x+200. Which function represents the difference between the moving companies rates , h(x)=f(x)-g(x)?
A) h(x)=-2x+200
B) h(x)=-2x+200
C) h(x)=5x-200
D) h(x)=5x+600
Answers
Answer:
Option a
Step-by-step explanation:
This is a nice simple problem!
Given that the function f( x ) is equivalent to 3x + 400, respectively g( x ) = 5x + 200, all we are being asked to do is find their difference. Substitute the given values as such -
h( x ) = f( x ) - g( x )
⇒ h( x ) = ( 3x + 400 ) - ( 5x + 200 ) - Distribute negative sign, taking out ( )
⇒ h( x ) = 3x + 400 - 5x + 200 - Combine like elements
⇒ h( x ) = - 2x + 200
And there you have it! Our solution should be option a ( h( x ) = - 2x + 200 )
If you would like, there is a graph of the function in the attachment below.
Answer:
It's B on edge!
Write the equation of the line, in standard form, that passes through the points (-2, 2) and (4, 5). Show all work for credit.
Answers
Answer:
x - 2y + 6 = 0
Step-by-step explanation:
Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3. Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.
Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get
2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3. Then the slope-intercept form of the desired equation is y = (1/2)x + 3. To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or
x - 2y + 6 = 0
The function C(x)=8x+560 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $16?
Answers
Answer:
70
Step-by-step explanation:
Question 1 (1 point)
3. Each week Mohammad works 3 — hours on Monday, 3 hours on Tuesday, 2 hours on
2
1
Wednesday, 2-hours on Thursday, and 4 hours on Friday. How many hours does he work per
4
week? (2 marks)
Answers
Answer:
56 Hours
Step-by-step explanation:
=3+3+2+2+4=14
=14*4=56 Hours
Assuming that I read this correctly, Mohammad works 3 hours Monday, 3 hours Tuesday, 2 hours on Wednesday, 2 hours on Thursday and 4 hours on Friday. All you have to do is add all the hours he worked each week. So that would look like this. ->
3+3+2+2+4=14
Mohammad is working for 14 hours this week.
Since he has to know how many hours he is working this month (4 weeks) . He needs to multiply his weekly hours by 4. So 14*4 is 56.
56 Hours is your answer
please asap thanks :D
Answers
Answer:
f, g, and h only
Step-by-step explanation:
The letters are the variables.
Variables are letters in place of numbers
This is for pre calculus, please help
Answers
Answer:
The correct answer is:
[tex]g(x) = x+1[/tex]
Step-by-step explanation:
Given that:
[tex]h(x) = f\circ g(x)= \sqrt[3]{x+3}[/tex]
[tex]f(x) = \sqrt[3]{x+2}[/tex]
To find:
[tex]g(x) = ?[/tex]
Solution:
Let [tex]g(x) = m[/tex]
We have
[tex]f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}[/tex]...... (1)
Now, we have let:
[tex]g(x) = m\\\therefore f(g(x)) = f(m)[/tex]
Putting x = in f(x), we get
[tex]f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}[/tex]....... (2)
Comparing equation (1) and (2):
[tex]\sqrt[3]{x+3} =\sqrt[3]{m+2}[/tex]
Taking cubes both sides:
[tex]x+3=m+2\\\Rightarrow m = x+3-2\\\Rightarrow m = x+1[/tex]
[tex]\therefore g(x) = x+1[/tex]
Hence,
The correct answer is:
[tex]g(x) = x+1[/tex]
Find the value of: [tex]\frac{1}{2\cdot 4}+\frac{1}{4\cdot 6}+\frac{1}{6\cdot 8}+ ... + \frac{1}{48\cdot 50}[/tex]
Answers
The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term in the parabola's equation?
Answers
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
To cater a brunch, Lewis' Eats charges a $130 setup fee plus $12.50 per person. The cost of Jackson Enterprise's annual holiday party cannot exceed $1500. Jackson Enterprise hires Lewis' Eats to cater their annual holiday party. Solution A: 130 + 12.50p 1500 D: 130 + 12.50p ≤ 1500
Answers
Answer:
The answer is solution D.
Step-by-step explanation:
130 + 12.50p ≤ 1500
The 130 is the setup fee
The 12.50 is the amount to pay per person
p means the number of people
The symbol ≤ means smaller than or equal to so it could be either of those
The 1500 is the max amount of money that they could spend for the party.
which of the following was not a new business created by the rise of automobile
1. Roadside restaurants
2. national parks
3. roadside cabins
4. gas stations
Answers
Answer:
road side cabins
Step-by-step explanation:
What is the slant height of the pyramid to the nearest 10th
15.5mm
13.9mm
12.5mm
19.0mm
Answers
12.5mm
Step by step explanation:
The slant height is just the hypotenuse of the triangle where the height and base are the legs. The height is 12 and the base is 7. We only use half of the base which is 3.5. Using the Pythagorean theorem, 12^2+3.5^2=c^2.
It simplifies to 144+12.25=c^2. Then, 156.25=c^2. Find the radical of 156.25 and you will get c=12.5.
The slant height is 12.5
If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
Answers
Answer: c) 27:8
Step-by-step explanation:
As volume of cube is side^3
volume of cube with side 2a is 8.a^3
volume of cube with side 3a is 27.a^3
ration of volumes is 27:8
How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable and the boxes are distinguishable?
Answers
Answer:
There are 243 ways but the balls in the boxes.
Step-by-step explanation:
There are 109375 ways to put 5 balls in 2 boxes when the balls and boxes are distinguishable by using counting principles and combinatorics
To solve this problem, use the concept of the multiplication principle, also known as the multiplication rule of counting.
Here's a step-by-step explanation:
Determine the number of choices for each ball: Since the balls are distinguishable, we have 5 choices for the first ball, 5 choices for the second ball, and so on, until we have 5 choices for the fifth ball. This can be represented as:
[tex]5 \times 5 \times 5 \times 5 \times 5.[/tex]
Determine the number of choices for each box: Since the boxes are distinguishable, each ball can be placed in either box 1 or box 2. Thus, there are 2 choices for each ball. This can be represented as:
[tex]2 \times 2 \times 2 \times 2 \times 2.[/tex]
To find the total number of ways, we multiply the number of choices for each ball with the number of choices for each box:
Total number of ways [tex]= (5 \times 5 \times5 \times5 \times5) \times(2 \times2 \times2 \times2 \times2)[/tex]
On multiply gives:
= 3125\times 32 = 109,375.
Therefore, there are 109375 ways to put 5 balls in 2 boxes when the balls and boxes are distinguishable.
Learn more about combinatorics here:
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Find the missing side to the triangle in the attached image.
Answers
Answer:
15Solution,
Hypotenuse(h)= 25
Base(b)= 20
perpendicular (p)= X
Now,
Using Pythagorean theorem:
[tex] {p}^{2} = {h}^{2} - {b}^{2} \\ {x}^{2} = {25}^{2} - {20}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = \sqrt{ {15}^{2} } \\ x = 15 [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 20² = 25² , that is
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Find the number of 4-digit numbers that contain at least three odd digits.
Answers
Answer:
3000
Step-by-step explanation:
First find the 4 digit numbers that have all odd digits
Possible Odd digits =5(1,3,5,7,9)
So, total number of 4 digit numbers with odd digits can be calculated as =5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the first digit as either 2,4,6,8 ( 0 would make it a 3 digit number)
The first digit can be 2,4,6,8
=4×5×5×5=500
Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8
=5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the third digit as either 0,2,4,6,8
Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8
=5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the fourth digit as either 0,2,4,6,8
=5×5×5×5=625
Add them together
625+500+625+625+625=3000
Answer:
3000
Step-by-step explanation:
4*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5 = 3000
Guys please help me, what is 10+x+ 8, what is 9(3x), what is 1/2 (10x) + 7-3, what is -5 (4x), what is 10 - 2 (8x) - 3 , and what is 3(7x) + 3 (-5)
Answers
Answer:
[tex]1.\ 10+x+ 8 = 18+ x[/tex]
[tex]2.\ 9(3x) = 27x[/tex]
[tex]3.\ \frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]
[tex]4.\ -5(4x) = -20x[/tex]
[tex]5.\ 10 - 2 (8x) - 3 = 7 - 16x[/tex]
[tex]6.\ 3(7x) + 3 (-5) = 21x -15[/tex]
Step-by-step explanation:
Required
Solve each expression
[tex]1.\ 10+x+ 8[/tex]
Start by collecting like terms
[tex]10+ 8+x[/tex]
Add like terms
[tex]18+x[/tex]
The expression can't be solved further
Hence; [tex]10+x+ 8 = 18+ x[/tex]
[tex]2.\ 9(3x)[/tex]
Open the bracket
[tex]9 * 3x[/tex]
[tex]27x[/tex]
The expression can't be solved further
Hence, [tex]9(3x) = 27x[/tex]
[tex]3.\ \frac{1}{2}(10x) + 7 - 3[/tex]
Open bracket
[tex]\frac{1}{2} * 10x + 7 - 3[/tex]
[tex]5x + 7 - 3[/tex]
[tex]5x + 4[/tex]
The expression can't be solved further;
Hence, [tex]\frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]
[tex]4.\ -5(4x)[/tex]
Open the bracket
[tex]-5 * 4x[/tex]
[tex]-20x[/tex]
The expression can't be solved further
Hence, [tex]-5(4x) = -20x[/tex]
[tex]5.\ 10 - 2 (8x) - 3[/tex]
Open Bracket
[tex]10 - 2 *8x - 3[/tex]
[tex]10 - 16x - 3[/tex]
Collect like terms
[tex]10 - 3 - 16x[/tex]
[tex]7 - 16x[/tex]
The expression can't be solved further
Hence, [tex]10 - 2 (8x) - 3 = 7 - 16x[/tex]
[tex]6.\ 3(7x) + 3 (-5)[/tex]
Open both brackets
[tex]3*7x + 3 * -5[/tex]
[tex]21x -15[/tex]
The expression can't be solved further
Hence, [tex]3(7x) + 3 (-5) = 21x -15[/tex]
A person purchased a $239,127 home 10 years ago by paying 15% down and signing a 30-year mortgage at 10.8% compounded monthly. Interest rates have dropped and the owner wants to refinance the unpaid balance by signing a new 20-year mortgage at 6 % compounded monthly. How much interest will refinancing save?
Answers
Answer:
$135,629.37
Step-by-step explanation:
For computing the interest amount first we need to find out the monthly payment, present value, monthly payment and finally the interest amount which is shown below with the help of an attached spreadsheet
The value of the loan could come by
= $239,127 - $239,127 × 15%
= $203,257.95
The amount of interest saved is
= ($1,905 × 20 × 12) - ($1,399.18 × 20 × 12)
= $135,629.37
the box plot represents the number of math problems on the quizzes for an algebra course.
what is the range of the data?
6
7
9
10
Answers
The range of the data is 10.
What is Box Plot?Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.
Given is a box plot.
Range of a data set is the difference between the highest and the lowest point.
The highest and lowest point of the data set is the points where the whiskers of the box plot extends to.
Here, whiskers extends from 5 to 15.
Range = Maximum - Minimum
= 15 - 5
= 10
Hence the range of the data set is 10.
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What percent of 1/2 is 1/4? (Round to the nearest whole percent.)
Answers
Answer:25
Step-by-step explanation:
1/4 of 1/2
A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centimeters (cm3).
Answers
Answer:
V = 65.548 cm³
Step-by-step explanation:
We have,
Volume of a ball is 4 cubic inches or [tex]4\ \text{inch}^3[/tex].
We know that, 1 inch = 2.54 cm
It is required to convert this volume to cubic centimetre or [tex]\text{cm}^3[/tex].
[tex]4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3[/tex]
So, the volume of the ball is 65.548 cm³.
Which of the following is the equation of a line perpendicular to the line y =
- 10x + 1. passing through the point (5.7)?
Answers
Answer:
y - 7 = (1/10)(x - 5)
Step-by-step explanation:
Next time please share the possible answers. Thank you.
Any line perpendicular to y = -10x + 1 has the slope +1/10, which is the negative reciprocal of -10.
Using the point-slope formula, we get:
y - 7 = (1/10)(x - 5)
Have you ever seen rational exponents? Rational exponents are designed to fit within the properties of exponents. That is, (31/2)2 is equal to 31, or 3. What operation does the power 1/2 represent? Can you think of operations that other fractional powers represent, such as 1/3, 1/4 and 2/3?
Answers
Rational exponents are quite simple really. For instance, 2 to the power of 1/2 is the square root of two. You take the numerator of the fraction and use that as the exponent and take the denominator and use it to root the number. I know that sounds confusing, so I'll give a bunch of examples
2 to the power of 1/3
is the cube root of 2
2 to the power of 2/3
is the cube root of 2 to the power of 2, or the cube root of 4
2 to the power of 3/4
Is the 4th root of 2 to the power of 3, or the fourth root of 8
Hope it helps <3, if you have any questions just comment.
The required answer for the number of questions has been listed in the answer section.
Given that,
A number of questions are given
The function which is in format f(x) = a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Part A
What operation does the power 1/2 represent?
The power 1/2 represents the square root of the value i.e. x^{1/2} = √x
Part B
What operations that other fractional powers represent, such as 1/3, 1/4, and 2/3?
Power 1/3 represents the cube root i.e. x^{1/3} = ∛x
Similarly
Power 1 / 4 represents the fourth root.
Power 2 / 3 represents cube root of square i.e. (x²)^{2 / 3} = ∛x²
Thus, the solution to the question is mentioned above.
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Suppose the population of a town is 98,000 in 2014. The population increases at a rate of 3.7 percent every year. What will the population of the town be in 2020? Round your answer to the nearest whole number.
Answers
Answer: 121871
Step-by-step explanation:
Current population = 98000
Rate of increase = 3.7% / year
Total time = 2020 - 2014 = 6 years
Population in 2020 = 98000 * (1+ (3.7/100))^6
= 98000 * (1.037)^6 = 98000 * 1.243576 = 121870.505
Rounding off to nearest whole number we get the population = 121871
Answer:
121,871
Step-by-step explanation:
I took the quiz.
Which of these is a unit of density?
A. km/m³
B. kg/m²
C. kg/m³
D. kg/m
Answers
Answer:
[tex]\huge\boxed{C.\ \dfrac{kg}{m^3}}[/tex]
Step-by-step explanation:
[tex]density=\dfrac{mass}{volume}\\\\\text{the unit of mass is}\ kg\\\text{the unit of volume is}\ m^3\\\\\text{therefore the unit of density is}\ \dfrac{kg}{m^3}[/tex]
Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.
Answers
Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.
B&C
Answer:
Option 2 and option 4
Step-by-step explanation:
option 2:
(2,2) ; (2*2 , 2*2)= (4,4) ; (2*3, 2*3) = (6 , 6)
Option 4:
(4 ,1 ) ; (4*2 , 1*2) = (8 , 2) ; (4*3 , 1*3) = (12 , 3)