Answers
7.5 mph
3/4=.75 miles per 1/10 hour
.75x10=7.5
Related Questions
If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
,what is its next term ak+1 when k is even?
Answers
Given:
kth term of a sequence is
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
To find:
The next term [tex]a_{k+1}[/tex] when k is even.
Solution:
We have,
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
Put k=k+1, to get the next term.
[tex]a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}[/tex]
If k is even, then k+1 must be odd and odd power of -1 gives -1.
[tex]a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}[/tex]
[tex]a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}[/tex]
[tex]a_{k+1}=-\dfrac{1^2-k^2}{2k+1}[/tex] [tex][\because (a-b)(a+b)=a^2-b^2][/tex]
[tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex]
Therefore, the next term is [tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex].
Answer true or false for the numbers 18 and 30.
A common factor is 9.
O True
O False
Answers
Answer:
false
Step-by-step explanation:
9 does not go into 30
How do you find the slope on a graph?
Answers
Answer:
I am unsure of the specifics, I always used slope-intercept form.
Step-by-step explanation:
If there is a specific question you are struggling with try entering the problem in m-a-t-h-w-a-y. This always helps me.
determine an equation of the sphere with center p(1, 2, −4) that passes through the point q(3, 4, −5).
Answers
The equation of the sphere is [tex]x^{2} + y^{2} + z^{2} = c^{2}[/tex].
A sphere with the simple equation r=c in spherical dimensions has the Cartesian equation [tex]x^{2} + y^{2} + z^{2} = c^{2}[/tex]
[tex]r^{2} = (x-h)^{2} + (y-k)^{2} + (z-l)^{2} \\r^{2} = (3-1)^{2} +(4-2)^{2} + (-5+4)^{2} \\r^{2} = 2^{2} + 2^{2} + -1^{2}\\ r^{2} = 4+4+1\\ r^{2} = 9[/tex]
[tex]= > r = \sqrt{9} \\[/tex]
r=3
What is the sphere's cartesian equation?Laplace's equation and the Helmholtz equation, two significant partial differential equations that appear in numerous physical issues, provide the separation of variables in spherical coordinates. The x-axis, which is horizontal, and the y-axis, which is vertical, make up the Cartesian coordinate system. In this system, equations for lines will include both the x and y variables. One example of a line in this system is the equation 2x + y = 2.
The coordinate system primarily utilized in three-dimensional systems is spherical coordinates of the system, represented as (r, ). The spherical coordinate system is used to determine the surface area in three dimensions. Three numbers are specified by these coordinates: the radial distance, the polar angles, and the azimuthal angle.
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The length of a rectangular field is three times its width.
a) Write an expression for the perimeter of the field.
b) Find the perimeter if the field is 300 m wide.
c) Find the length and width of the field if the perimeter is 1600 m.
Answers
Answer:
a) 3×L = width
b) 300 + 100 × 2 = 800
c) length = 600 & width = 200
on average, how many times must a 6-sided die be rolled until the sequence 65 appears (i.e., a 6 followed by a 5)?
Answers
A 6-sided die must be rolled 36 times before sequence 65 appears. (i.e., a 6 followed by a 5)
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Let E as the expected rolls, and E₆ as the expected rolls given we rolled a 6.
Given that we rolled a 6, there is a 1/6 chance that two rolls will be enough, a 4/6 chance that we didn't roll a 5 or 6 and so spent two rolls, and a 1/6 chance that we rolled a 6 and only wasted one roll:
E₆ = (1/6)2 + (4/6)(E+2) + (1/6)(E₆ + 1)
Rearrange the terms and apply arithmetics operations
E₆ = (4E + 11)/5
According to the question,
We have 5/6 that we rolled [1,5]
So we wasted a roll, and 1/6 that we rolled a 6,
E = (1/6)×E₆ + (5/6)×(E+1)
Substitute the value of E₆ in the equation,
E = (1/30)×(4E+11) + (5/6)×(E+1)
E = 36
Hence, a 6-sided die must be rolled 36 times before sequence 65 appears.
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if martha can rake the yard in 4 hours and her brother can rake the yard in 8 hours, how long does it take them to do it together?
Answers
Answer: 12
Step-by-step explanation:
4 hours plus 8 hours together is 12 hours.
If f(x) = 2x^2-4x-3
and g)-2x^2-16. find f(x) + g(X)
4X^24X +13
4XN2-4x-13
4X- 19
4X^2- 4x -19
Answers
Answer:
-4x - 19
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 2x² - 4x - 3
g(x) = -2x² - 16
Step 2: Find f(x) + g(x)
Substitute: f(x) + g(x) = 2x² - 4x - 3 - 2x² - 16Combine like terms (x²): f(x) + g(x) = -4x - 3 - 16Combine like terms (Z): f(x) + g(x) = -4x - 19Suri decided to get braces to straighten her teeth. The cost of the treatment plan was $5,000 which Suri was able to pay off over time. Each month Suri paid $125 until her account balance was $0 Which of the
following equations represents the account balance B (m) after m months?
A: B(m) 5000m- 40
B: B(m)-4Om + 5000
C: B(m) = 5000m- 125
D: B(m) =-125m + 5000
Answers
Answer:
d
Step-by-step explanation:
you have to divide 125 from 5000 so i believe i am right but if im not then im sorry
50!!!!!!!!!!!!!!!!!!!!! POINTS
Señor Ochoa is planting a garden in the corner of his yard. Before he does any planting, however, he wants to make a scale drawing showing where he wants each vegetable and fruit to go. So far, he has drawn the perimeter of his garden. The actual length of the vertical and horizontal legs of his triangular garden is 3 meters.
After making his drawing, he decides that his scale is way too small. Instead, he wants the vertical and horizontal legs of the triangle on his drawing to be 18 centimeters. Make a new scale drawing with the new dimensions of the scale drawing. Make sure to label all three sides of the garden and include the new scale.
Answers
Answer:
You would multiply the horizontal and vertical lines by 3 to get 18 cm. Then using the pythagorean theorem, you can solve for the hypotenuse: 6^2 + 6^2 = c^2. We solve for C in this, which then equals 8.485 cm rounded to the nearest thousandth.
Step-by-step explanation:
Let me know if this helps :)
**please mark brainliest!!
2a+3r+1.5p=29.75 (1)
a+r+p=13.50 (2)
a+3r+4p=29.00 (3)
Eliminate a by multiplying equation (2) by -1 and adding it to equation (3).
What is the resulting equation?
4r + 5p = 42.50
2r + 3p = 15.50
2r + 3p = 42.50
Answers
Answer:
2r+3p=15.50
Step-by-step explanation:
Answer:
The second part are 1 and A
Step-by-step explanation:
Thank me later
what is the slope of the line through (-1, 2) and (-3, -2)
A. -1/2
B. -2
C. 2
D. 1/2
Answers
2
Step-by-step explanation:
-2 -2/ -3+1 = -4/-2 = 2
you just have to use the slope formula
Answer:
C. 2
The slope is 4/2 which is simplified to 2
write an equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1
Answers
Answer:
y=3x+14
Step-by-step explanation:
We can use point-slope intercept form to find the equation of the line.
Equation: y-y₁=m(x-x₁)
**For a line to be perpendicular to another, its slopes must be negative reciprocals of each other. So, in our example, the slope of the new line must be [tex]\frac{1}{3}[/tex].
1. Plug in provided info into the equation listed above (the coords are the values that we will put for x₁ and y₁:
y-5=[tex]\frac{1}{3}[/tex](x-(-3))
2. Simplify:
y-5=[tex]\frac{1}{3}[/tex](x+3)
3. Distribute & Simplify
y-5=[tex]\frac{1}{3}[/tex]x+1
3. Add 5 to both sides of the equation:
y=[tex]\frac{1}{3}[/tex]+6
The equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.
What is the definition of the perpendicular lines?Perpendicular lines have been defined in geometry as two lines which meet or intersect at right angles (90°). The term "perpendicular" is derived out of the Latin word "perpendicularis," which means "a plumb line."For the given question;
The equation of the perpendicular line is given as;
y=-3x-1
Compare with the standard slope intercept form.
y = mx + c
m is the slope and c is the y intercept.
Say slope m1 = -3
Then, the relation for the slopes of two perpendicular lines are-
m1 x m2 = -1
m2 = -1/m1
m2 = -1/-3 = 1/3
This, line with the slope 1/3 passes through the points;
(x1, y1) = (-3, 5)
The equation of the line is obtained as;
y - y1 = m2(x - x1)
y - 5 = (1/3)(x + 5)
y = x/3 + 20/3
Thus, the equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.
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i need help with this can you?
Answers
Answer:
A and D
Step-by-step explanation:
pls make me brainliest
Answer:
Step-by-step explanation: d , c
Which is taller, the Burj Khalifa or a stack of the money it cost to build the Burj Khalifa
Answers
The structure known as the Burj Khalifa is taller than a stack of the money it took to construct it.
What is Burj Khalifa?The Burj Khalifa is an iconic skyscraper in Dubai, United Arab Emirates. With a height of 828 meters (2,716 ft), it is now the highest structure in the world.
The Burj Khalifa's construction began in 2004 and was finished in 2009. The skyscraper was constructed by the architectural firm Skidmore, Owings & Merrill and was mostly funded by the government of Dubai.
The Burj Khalifa stands 828 meters (2,716 ft) tall. According to sources, the overall cost of constructing the Burj Khalifa was around $1.5 billion USD. A stack of $1.5 billion USD would be roughly 165 metres (541 feet) tall if the typical US $100 bill has a thickness of 0.11 millimeters.
Therefore, the structure known as the Burj Khalifa is taller than a stack of the money it took to construct it.
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Will mark Brainliest just answer the following questions
Answers
Answer:
domain: infinity to infinity
range: (-4, infinity)
increasing: (5, infinity)
decreasing: (2, 5)
maximum: na
minimum: y=-4
f(2)= 10
f(x)=-4, x= -8
Step-by-step explanation:
sorry if any of these are incorrect, I've learned to answer 3 different ways from 3 different teachers
Jessie deposited $6,000 in a savings account. The amount in the account after 1,2,3 years is shown below. $6,240, $6,480, $6,720
Which expression represents the total amount in her account at the end of the t years
Answers
Answer: 6000+240t I think
Step-by-step explanation:
Evaluate the expression when p = 5:
−|−3p|
Answers
Answer:
the answer is p=2
Step-by-step explanation:
the right answer is p=2
A 3-quart container of disinfectant costs $11.76. What is the price per cup?
Answers
Answer:
$2.94 per cup
Step-by-step explanation:
4 cups in a quart. 11.76÷4=2.94
Rodrigo is tracking the number of visitors at two parks. He created these functions to model the total number of people visiting each park, where x is the number of hours after sunrise.
West Park: A(X) = -0.68x^3 + 7.05x^2 + 3.25x
East Park: B(x) = -2.08x^2 +22x+ 5
Which function models the total number of visitors at both parks each hour after sunrise?
A T(x) = -0.68x^3 + 9.13x^2 + 22x + 8.25
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
C. T(x) = -2.76x^3 + 7.05x^2 + 25.25x + 5
D. T(x) = -2.76x^3 + 29.05x^2 + 8.25
Answers
Answer:
The function that models the total number of visitors at both parks each hour after sunrise: [tex]\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}[/tex]
Option B is correct.
Step-by-step explanation:
Function for West Park: A(X) = [tex]-0.68x^3 + 7.05x^2 + 3.25x[/tex]
Function for East Park: B(x) = [tex]-2.08x^2 +22x+ 5[/tex]
We need to find the function that models the total number of visitors at both parks each hour after sunrise?
For finding total number of visitors we need to sum functions of A(X) and B(X) to get T(X)
So, we have
[tex]T(X)=A(X)+B(X)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x+(-2.08x^2 +22x+ 5)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x-2.08x^2 +22x+ 5\\Combining like terms\\T(X)=-0.68x^3+7.05x^2-2.08x^2+3.25x+22x+5\\T(X)=-0.68x^3+4.97x^2+25.25x+5[/tex]
So, function that models the total number of visitors at both parks each hour after sunrise: [tex]\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}[/tex]
Option B is correct.
Answer: For plato family
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
Step-by-step explanation:
I just took the test
How many mililiters is 3.78 liters
Answers
Answer:
3780
Step-by-step explanation:
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1200. The law firm designated twice as many associates as partners to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case,x, and the number partners assigned to the case, y.
what are the two equations in slope intercept form so i can graph them
Answers
Step-by-step explanation:
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A croissant a cup of coffee and a fruit bowl from Kelly's coffee cart cost a total of $5.50 and a croissant cost twice as much as a cup of coffee Kelly post a notice announcing that effective next week the price of a croissant will go up 25% and the price of coffee will go up 20% after the increase the total price of the purchase will be $6.03. Find the cost of each item before the increase.
Answers
Answer:
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
Step-by-step explanation:
Step 1
A croissant, a cup of coffee, and a fruit bowl cost $5.50 also a croissant costs twice as much as a cup of coffee
so let cost of a cup of coffee=C
cost of croissant=2C
cost of fruit bowl = F
Such that
C+2C+F= 5.50
3C+F=5.50.......equation 1
Also, effective next week, the price of a croissant will go up 25% and the
price of coffee will go up 20% Giving us that
new cost of croissant=(2C)(1+25/100)=2.5C
new price of coffee=(C)(1+20/100)=1.20C
new price of fruit bowl still remains unchanged =F
such that
2.5C +1.20C + F=6.03
3.7C+F=6.03----- equaton 2
Step 2
3C+F=5.50.......equation 1
3.7C+F=6.03----- equaton 2
By elimination method, we subtract eqn 1 from eqn 2
3.7C - 3C + F -F=6.03-5.5
0.7 C=0.53
C= 0.53/0.7
C=0.7571
2C= 1.5142
3C+F=5.50
3 X 0.7571 + F= 5.50
2.27 + F= 5.50
F= 5.50-2.271= 3.229
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
8–2(x + 10) = 4.-6
What is the value of x?
Answers
do you need the work?
A customer purchased a total of 16 washcloths and towels Each washcloth cost $10.50 and each towel cost $15.00. The customer
spent $226,50 all together.
How many washcloths did the customer buy?
Answers
Answer:
3
Step-by-step explanation:
15*13=195
10.5*3=31.5
195+31.5=226.50
It’s 40 right?? I’m sorry I’m so confused
Answers
r-35=5
+ 35
r=40
Answer:
Yes, 40 is correct. The valuable r is basically just a blank line and you have to fill it in this problem.
Step-by-step explanation:
50-50+50-25÷3-2+9×5 ~2~3~5 ×0
Answers
Answer:
The answer for this mathematical problem is 119/3.
Step-by-step explanation:
Your alternative answers are the following:
39 2/339.6Hope this helps and if you could mark me as brainliest. Thanks!
Answer:
84.6666666667
Step-by-step explanation:
Three students were working on 630,000÷700 in math class.
a. Desiree finds the quotient is 9,000 and Micah finds the quotient is 900.
Determine which student found the correct quotient.
Question 2
Explain your thinking.
Question 3
b. Delilah finds her answer is 90, but she copied the expression incorrectly from the board. If her reasoning and answer for the expression she copied are correct, what expression might she have written?
Answers
Step-by-step explanation:
a) Desiree is correct 630000÷70=900
The table above gives selected values for the derivative of a function g on the interval —1 x < 2. If g(—l) = —2 and Euler's method with a step-size of 1.5 is used to approximate g(2), what is the resulting approximation?
Answers
Answer:
(2.0, 2.5)
g(2) = 2.5
Explanation:
We can use Euler's Method by creating a table with 5 columns. The headers will be labeled, from left to right:
(x, y)dy/dxΔxΔy(x + Δx, y + Δy)We are given the starting point of (-1, -2). We can write this under the (x, y) column.
Check the given table for the dy/dx of the x-value we start with. We start with -1.0, so the chart says the change at this point is 2. Therefore, we can write 2 under the dy/dx column.
We are told the change in x is 1.5, so write 1.5 under Δx.
To calculate the change in y, multiply dy/dx times Δx.
2 * 1.5 = 3.0Write 3.0 under the Δy column.
For the last column, take the previous columns and add them together for the new point. Use this new point to repeat the process until you find g(2).
I've attached an image of the chart that I drew to represent this process. Let me know if you have any questions!
Which answer choice do I choose
Answers
Answer:
g = 2d - 8
g + d = 46
Step-by-step explanation:
It is given that the guitarist wrote eight less than twice as many songs as the drummer did, hence one would multiply by the number of songs the drummer wrote by two, and subtract eight.
It is also given that the combined total of songs that they both wrote is 46, hence one would add up the songs that they wrote, and attain a result fo 46.
Answer:
c
Step-by-step explanation:
Tim weighting this bc it said