Answer:
The constant of proportionality between d and h is 3.75
Step-by-step explanation:
The direct proportionality function is called any function in which the dependent variable (y) is obtained by multiplying the independent (x) by a constant value. This type of function is more commonly called a linear function and has an expression of the form:
y=m*x
The value m is a constant called the constant of proportionality or the slope of the line and represents the inclination of the line with respect to the abscissa axis, that is, the x axis. Graphically this linear function is a line with slope m that passes through the origin of coordinates, that is, the point 0 in x and 0 in y, which is the point (0,0).
You know that Bethany uses the equation d=3.75*h to find the distance, d, she travels while walking for h number of hours. Comparing with the direct proportionality function y = m * x, then y is represented by the distance d, x is represented by the number of hours h and the constant of proportionality or slope m is the number 3.75.
So, the constant of proportionality between d and h is 3.75
Name the relationship: complementary, linear pair, vertical, adjacent, alternative interior, corresponding, or alternate exterior.
Answer:
Step-by-step explanation:
9. Alternative exterior
10. Alternate interior
11. Complementary
12. Corresponding
13. Corresponding
14. Alternate exterior
15. Vertical
16. Linear Pair
How do you do this question?
Exact value: [tex]c = \frac{-11+\sqrt{165}}{22}[/tex]
Approximate value: c = 0.08387
Round the approximate value however you need to
==============================================
Work Shown:
Let x = 1+c
[tex]\displaystyle S = \sum_{n=2}^{\infty}(1+c)^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}x^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}\frac{1}{x^n}\\\\\\\displaystyle S = \frac{1}{x^2}+\frac{1}{x^3}+\frac{1}{x^4}\ldots\\\\\\[/tex]
We have an infinite geometric series here. The first term is a = 1/(x^2). The common ratio is r = 1/x.
Each new term is found by multiplying the previous term by 1/x.
Assuming -1 < r < 1 is true, the infinite geometric sum is
[tex]S = \frac{a}{1-r}\\\\\\S = \frac{1/x^2}{1-1/x}\\\\\\S = \frac{1/x^2}{x/x-1/x}\\\\\\S = \frac{1/x^2}{(x-1)/x}\\\\\\S = \frac{1}{x^2}\div\frac{x-1}{x}\\\\\\S = \frac{1}{x^2}*\frac{x}{x-1}\\\\\\S = \frac{1}{x^2-x}\\\\\\[/tex]
Plug in S = 11 and solve for x
[tex]S = \frac{1}{x^2-x}\\\\11 = \frac{1}{x^2-x}\\\\11(x^2-x) = 1\\\\11x^2-11x = 1\\\\11x^2-11x-1 = 0\\\\[/tex]
Use the quadratic formula to find the two solutions
[tex]x = \frac{11+\sqrt{165}}{22} \approx 1.08387\\\\x = \frac{11-\sqrt{165}}{22} \approx -0.08387\\\\[/tex]
Using these x values, we find that the corresponding r values are
r = 1/x = 1/(1.08387) = 0.92262
r = 1/x = 1/(-0.08387) = -11.92321
The first r value makes -1 < r < 1 true, but the second r value does not. So we will be ignoring the solution x = -0.08387
----------------------------------------------
Using the solution that corresponds to x = 1.08387, we find the value of c is
[tex]x = c+1\\\\c = x-1\\\\c = \frac{11+\sqrt{165}}{22}-1\\\\c = \frac{11+\sqrt{165}}{22}-\frac{22}{22}\\\\c = \frac{11+\sqrt{165}-22}{22}\\\\c = \frac{-11+\sqrt{165}}{22}\\\\c \approx 0.08387\\\\[/tex]
Find the slope (3, 7) (-2, 7)
Answer:
(-5,0)
Step-by-step explanation:
The X coordinates go down by five = -5
The Y coordinates don't change = 0
I'm pretty sure this is right :)
Hope it helped!
Answer:
Answer BelowStep-by-step explanation:
Hope this helps! <3
What is the slope of a line perpendicular to the line whose equation is 15x+12y=-108
Answer:
m perpendicular 1/3
Step-by-step explanation:
Have a nice evening.
Can someone help me I really need it
Answer:
No, the figures are similar but not congruent as although width is same, length of fig A is 3 blocks while length of fig. B is 4 blocks. For two fig. to be congruent, their l and b should be eql.
Hope u find this ans useful.
Pls mark me brainliest
If g(x) =5-9x and f(x) = 5+ 3x
Find g(2)
Find f(g(2))
Answer:
Step-by-step explanation:
g(2)= 5-9(2)
= -13
f(g(2))= 5+3(-13)
= -34
Answer:
g(2) = -13
f(g(2)) = -34
Explanation:
For g(2), just substitute 2 in for the x, multiply, and simplify.
g(x) = 5-9(x)
g(2) = 5-9(2) = 5-18 = -13
For f(g(2)), substitute this output in for x, multiply, and simplify.
f(x) = 5 + 3(x)
f(g(2)) = 5 + 3(g(2)) = 5 + 3(-13) = 5-39 = -34
At the produce store you can buy 4 bags of bananas for $29.88. How much would it cost if u were to buy 6 bags?
Answer:
44.82
Step-by-step explanation:
29.88 divided by 4 is 7.47 times 6 is 44.82
Answer:
44.82$
Step-by-step explanation:
4:29.88
6:x
4x=179.28
x=44.82$
In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people.
One hundred years later, the yearly attendance was 1.7 × 106 fans.
How many times greater was the attendance in 2002 than in 1902? Enter your answer in the box.
Answer:
The number of attendance is 5 times greater than in 1902.
Step-by-step explanation:
Since we have given that
Number of attendance at a major league baseball park in 1902 =
Number of attendance at a major league baseball park in 2002 =
We need to find the number of times that the attendance in 2002 is greater than in 1902.
So, number of times becomes,
Hence, the number of attendance is 5 times greater than in 1902.
Which organelle is marked with an X?
Answer:
cell wall :)
Answer:
Lysosome.
Step-by-step explanation:
If You Saw The Questions Before This One, you can see the Question: Which accurately labels the lysosome? and its X, so the answer is Lysosome
EDGE 2020
Which trigonometric functions have the same maximum value?
y = arcsinx and y = arccosx
y = arcsinx and y = arctanx
y = arctanx and y = arcsecx
y = arccosx and y = arcsecx
Answer:
D. y = arccosx and y = arcsecx
Step-by-step explanation:
got it right on edge :)
Answer:
The trigonometric function which have the same maximum value is:
y = arcsinx and y = cos x
Concept:
What are Inverse trigonometric functions?
Inverse trigonometric functions are represented as arcsinx, arccosx, arcsecx, and so on.
The trigonometric functions that are used to calculate an angle from any of the angle's trigonometric ratios are called inverse functions.
The formula which is used to in inverse trigonometric equations are:
arcsinx = -arcsinx
arccosx = pi-arccosx
arctanx = -arctanx
arcsecx = pi - arcsecx
Solution:
The maximum values we obtain from the following equations are:
arcsinx = -1 to 1
arccosx = -1 to 1
arctanx = -pi/2 to pi/2
arcsecx = ∞
So the trigonometric functions which have the same maximum value is arcsinx and arccosx.
Learn more about "inverse trigonometric functions" here-
brainly.com/question/1143565
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A person standing on a moving walkway travels 90 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y = 3x; 30 feet
B. y = 9x; 90 feet
C. y = 1/3x; 3 feet
D. y = 3x; 3 feet
Answer:
What equation represents this relationship? How many feet will the person travel in 10 seconds? A. y = 3x; 30
Drawing one card from a standard deck of cards. what is the sample space and outcome?
Answer:
sample space 2 inches outcome 1/52
Step-by-step explanation:
Subtract the rational expressions x/x+1 - 2/x
Answer:
(2x-2)/x
Step-by-step explanation:
x/x-2/x+1
LCM is x
(x-2+x)/x
(2x-2)/x
Which of the following statements is true concerning ABC below?
Answer:
A is the answear. so jst pick A
in a mixture a there is 2l of syrup in 3l of water. in a mixture b there is 1.8l of syrup in 2.5 water. in which mixture, concentration syrup is higher?
Answer:
Step-by-step explanation:
In the first mixture the concentration syrup is higher
Concentration syrup is higher in mixture B.
What is Proportion?Two or more ratios made to be equal to each other is termed as proportion.
We have to use the proportional concept here by finding the concentration of syrup in 1 l of water.
Mixture A:
Concentration of syrup in 3 l of water = 2 l
Concentration of syrup in 1 l of water = 2/3 l = 0.67 l
Mixture B :
Concentration of syrup in 2.5 l of water = 1.8 l
Concentration of syrup in 1 l of water = 1.8 / 2.5 = 0.72 l
Concentration of syrup in mixture A in 1 liter of water is less than the concentration of syrup in mixture B in 1 liter of water.
Hence the concentration of syrup in mixture B is higher because concentration of syrup in mixture B in 1 liter of water is higher than the concentration of syrup in mixture A in 1 liter of water.
Learn more about Proportion here :
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what’s the unit rate for 10 1/3 miles per 1/6 hour
1. Pedro bought seven dozen candy bars to give out on Halloween night. He gave each trick-or-treater two candy
bars. At the end of the night, he had 14 candy bars left. How Many Trick-or-treaters did he have
Answer:
28 or it is 42
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
First, you need to know 7 dozen, which is 7*12, which equals 84. Altogether, Pedro had 84 candy bars. He had 14 candy bars left over. 84-14=70 He used 70 candy bars. He gave 2 to each trick-or-treater, so do 70/2=35. He had 35 trick-or-treaters.
5 x 7 = 7 x 5
What algebraic property is illustrated above?
A. commutative property of multiplication
B. associative property of multiplication
C. distributive property
D. transitive property
Answer:
A. commutative property of multiplication
Step-by-step explanation:
The commutative property of multiplication ,
States that when two numbers are being multiplied, their order can be changed without affecting the product.
What is the y-intercept of the function y= -1/2cos(3/2x)
Answer: (0,-1/2)
Step-by-step explanation:
Edge :-)
Answer: (0,-1/2)
Step-by-step explanation:
The Cowboys have won 11 out of the 12 games they have
played this season. What is their ratio of Wins to Losses?
eleven wins to one lose 11 to 1
pls look at the picture attached! i need help
it is 9 aahh it says to short well 3 times 9 is 27 then minus 17 is less than 13
Answer:
v <= 10
(-infinity, 10]
Step-by-step explanation:
3v - 17 <= 13
+17 +17
3v <= 30
3v/3 30/3
v <= 10
(-infinity, 10]
Whats the mean of 62,78,59and 89
[tex]\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}[/tex]
As we know that ,
⠀⠀⠀⠀Mean= sum of all numbers/ total number of numbers[tex] \longrightarrow [/tex] Mean= 62+78+59+89/4
[tex] \implies [/tex] Mean = 288/4
[tex] \implies [/tex] Mean= 72[tex]\huge\boxed{\fcolorbox{purple}{yellow}{Answer\:= \:72}}[/tex]Answer:
72
Step-by-step explanation:
62 + 78 + 59 + 89 = 288
then count how many data you have
288 / 4 = 72
Solve the system of equations using substitution y = 3-4x y = 3x -11
Round the numbers to the nearest ten thousands.
62 389-
65 405-
51 330-
343 021-
102 779-
Answer:
60,00070,00050,000340,000100,000
48 on shelves how many on 12 shelves
Answer: 96 books
If 6 shelves have 48 books on them, this is one half of 12 shelves, because 6 is one half of 12 shelves.
There are 12 shelves. So, multiply 48 by 2.
48 x 2 = 96.
Answer to the question = 96
(1.2/0.375-0.2)/(6.16/15.4+0.8)=(0.016/0.12+0.7)/x
9514 1404 393
Answer:
x = 1/3
Step-by-step explanation:
The solution to ...
a = b/x
is ...
x = b/a
It is convenient to let a calculator do the tedious arithmetic.
x = (0.016/0.12+0.7)/((1.2/0.375-0.2)/(6.16/15.4+0.8))
x = 1/3
Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4? (1 point)
The graph shifts 4 units up.
The graph shifts 4 units down.
The graph shifts 4 units left.
The graph shifts 4 units right.
Answer:
C The graph shifts 4 units left.
Step-by-step explanation:
Answer: its A
Step-by-step explanation:
i took the test on flvs lol
not sure need help
Answer:
8.2
Step-by-step explanation:
Find the value of the missing angles ?
Help please for question
the decimal 105.7 becomes 1057 when multiplied by 10.
Answer:
yes true correct
Step-by-step explanation:
Brainly crown?
Answer:
True.
Step-by-step explanation:
I don't know if this is a true or false thing but it is true.