Answer:
The actual change in the car's value is $[tex]1700[/tex] and the relative change is [tex]7.20[/tex]%.
Step-by-step explanation:
It is given that the value of a car is dropped from $[tex]23600[/tex] to $[tex]21900[/tex].
So, the change in the value is the drop in the value of car, which is, [tex]23600-21900=1700[/tex].
So, the actual change in this car's value is $[tex]1700[/tex].
The relative change can be given by the expression,
[tex]\dfrac{\:\rm{Actual Change}}{\:\rm{Original Value}}\times100[/tex]
Substituting values, the relative change can be given by,
[tex]\begin{aligned}\dfrac{1700}{23600} \times 100&=\dfrac{1700}{236}\\&=7.20\end{aligned}[/tex]
An old principle of public landscaping says "build sidewalks last." In other words, let
the people find their chosen paths and then build the sidewalks on the paths. The
picture below shows a campus quadrangle that measures 40 meters by 30 meters.
The path between each building is an illustration of Pythagoras theorem.
The sidewalk between library and humanities is 21.21 metersThe sidewalk between chemistry and humanities is 29.15 metersThe sidewalk between chemistry and humanities is 36.06 metersSee attachment for a copy of the given image.
The sidewalk between library and humanities
This is represented with (a).
The value of (a) will be calculated using Pythagoras theorem.
So, we have:
[tex]a^2 = 15^2 + 15^2[/tex]
[tex]a^2 = 450[/tex]
Take square roots
[tex]a = 21.21[/tex]
Sidewalk between chemistry and library
This is represented with (d).
First calculate the value of (b) and (c)
[tex]c + 15 = 30[/tex]
So:
[tex]c = 15[/tex]
Also:
[tex]b + 15 = 40[/tex]
So:
[tex]b = 25[/tex]
The value of (d) will be calculated using Pythagoras theorem.
[tex]d^2 = b^2 + c^2[/tex]
[tex]d^2 = 25^2 + 15^2[/tex]
[tex]d^2 = 850[/tex]
Take square roots
[tex]d = 29.15[/tex]
The sidewalk between chemistry and humanities
This is represented with (e).
The value of (e) will be calculated using Pythagoras theorem.
[tex]e^2 = d^2 + a^2[/tex]
[tex]e^2 = 850 + 450[/tex]
[tex]e^2 = 1300[/tex]
Take square roots
[tex]e = 36.06[/tex]
Learn more about Pythagoras theorem at:
https://brainly.com/question/343682
Please help will give brainly points
Answer:
-11
Step-by-step explanation:
if you put the numbers of the variebles in, it would be
-6-9+9-5
Answer:
9
-6a = 54
9x = -45
54 + (-45) = 9
what is statistics ???
explain !!!
Answer:
what is statistics ???
explain !!!
Step-by-step explanation:
Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Probability is a mathematical language used to discuss uncertain events and probability plays a key role in statistics.Please mark me as brainliest
A cab company charges $3 per cab ride,
plus an additional $2 per mile driven. How
long is a cab ride that costs $11?
miles
Answer:
The answer is c = 2 + 3d .
Step-by-step explanation:
It is given that a cab ride cost $2 which is a fixed amount and charges additional $3 per mile. So you have to make an equation of c in terms of d :
Let c be the cost,
Let d be the distance,
c = 2 + 3d
Which of the following is equal to the rational expression when x ≠ -1 or -7?
(X+1)(x-1)
——————
(X+7)(x+1)
A. x+1
——
x+7
B. x+7
———
x-1
C. x-1
——
x+7
9514 1404 393
Answer:
C. (x -1)/(x +7)
Step-by-step explanation:
The factor (x +1) in the numerator cancels the same factor in the denominator, leaving the ratio (x -1)/(x +7). This matches choice C.
_____
Additional comment
Even though (x+1)/(x+1) = 1 and can be removed from the expression, the fact that it is undefined at x=-1 means the reduced ratio (x-1)/(x+7) is only a valid representation of the original ratio when x≠-1. The factor (x+1) may be gone, but the domain restriction associated with it remains.
Solve the exponential equation: 4 1/2x=256
A) x = 4
B) x = 2
C) x= 8
OD) x= 1/2
Hi there!
We are given:
[tex]4^{\frac{1}{2}x} = 256[/tex]
We can rearrange this into a logarithm:
[tex]log_4256 = \frac{1}{2}x[/tex]
Evaluate the left side:
4 = 1/2x
Multiply both sides by 2:
x = 8
The _____ measures the variation in the dependent variable that is explained by variables other than the independent variable in simple regression analysis .
a. total sum of squares
b. sum of squares error
c. sum of squares within
d. sum of squares regression
Really need help quick
Answer:
Total Number of times Spun = 1200
Key sentence: "Pr(Red) is same as Pr(Yellow).
Pr(Green)= 0.2
0.2 = x/1200
x= 0.2 x 1200
x = 240.
It landed on green 240 times
Pr(Brown) =0.54
0.54 = y/1200
y= 1200 x 0.54
y= 648.
Now
To get the Number of times it landed on Red and Yellow
You simply subtract that of Green and Brown from 1200 and divide this result by 2(Since Red and Yellow are have equal occurrence).
1200 – (648 + 240)
= 312.
312/2 = 156.
So It landed on Red and Yellow 156 times each.
Step-by-step explanation:
Red ----- 156times
Green -----240times
Brown ----- 648times
Yellow -----156times
Sorry for asking more questions
[tex]\text{CJ}=3\text{x}+6\\\\\text{CT}=37\\\\\text{JT}=3\text{x}+7\\\\\text{CJ}+\text{JT}=\text{CT}\\\\3\text{x}+6+3\text{x}+7=37\\\\6\text{x}+13=37 \ \ /-13\\\\6\text{x}=24 \ \ /:6\\\\\text{x}=4\\\\\text{JT}=3\cdot4+7=12+7=\boxed{19}[/tex]
Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?
Step-by-step explanation:
17 nickels and 5 quarters I just thought way to much for such a simple question
Does the following represent a function?
f = [ (3, -1), (2, 5), (4, -6), (3, 4), (5, -8) ]
Answer:
Not a function
Since x= produces y- -1 and y=-4, the relation (3,-1),(2,5),(4,-6),(3,4),(5,-8) is not a function.
Choose all expressions that are equal to 5.
31÷6.2
27.6÷5.2
18.6÷4
6÷2.1
20.1÷4.1
Answer:
without rounding, only the 1st one would be equal to 5
Step-by-step explanation:
31÷6.2=5
27.6÷5.2=5.307...
18.6÷4=4.65
6÷2.1=2.8
20.1÷4.1=4.9
BUT HEY, I HAVE PARANOIA AND THIS TIME I DIDNT CHECK LIKE A DOZEN TIMES SO MAYBE IM WRONG
oh and i forgot to say have a nice day or night or etc and good luck!
Answer:
31 / 6.2 = 5
Step-by-step explanation:
31/6.2 = 5
27.6/5.2 = 5.3
18.6/4 = 4.65
6/2.1 = 2.86
20.1/4.1 = 4.90
The elevation of Lake Baikal is about 1,494 feet below sea level. Which integer represents this elevation?
Answer:
-1,494
Step-by-step explanation:
If sea level is 0, the on a scale below sea level would be a negative integer.
please help me answer this question.. am giving brainliest
Step-by-step explanation:
We are going to use the following properties of logarithms to solve this problem:
[tex]\log{\dfrac{a}{b}} = \log{a} - \log{b}[/tex]
and
[tex]\log{ab} = \log{a} + \log{b}[/tex]
So we can rewrite the given equation as
[tex]\log{2x^3} - \log{x} = \log{\left(\dfrac{2x^3}{x}\right)} = \log{2x^2}[/tex]
Also,
[tex]\log{16} + \log{x} = \log{(16x)}[/tex]
So we can write
[tex]\log{2x^2} = \log{(16x)}[/tex]
or eliminating the log symbols, we get
[tex]2x^2 = 16x[/tex]
The solutions for the equation above are
[tex]x = 8\:\text{and}\: 0[/tex]
Find the slope and y-intercept of the line.
- 6x + y = 8
-...
Find the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Simplify your answer. Type an integer or a fraction.)
OB. The slope of the line is undefined.
(Answer quickly)
[tex]\large \mathfrak{Solution : }[/tex]
let's write the given equation in its slope intercept form :
i.e y = 6x + 8
by comparing to the general equation : y = mx + c
we get, slope (m) = 6
Solve this problem and show the steps please because I’m so confused
Answer:
= 77
Step-by-step explanation:
{3 × [tex]2^{2}[/tex] - 3} -2 × 11
Solve the brackets first
{ 3 × 4 - 3} -2 × 11
{12 - 3 } -2 × 11
9 -2 × 11
9 -22
= -13
Answer:
-13
Step-by-step explanation:
Solve in the bracket first
(3*4 -3) -2 * 11
(12 - 3) -22
9 - 22
-13 is the final answer
Can someone please help me? I just need these question for finish my test.
Answer:
A. y = |x - 5| - 4
Step-by-step explanation:
The shape of the graph is a V with slope 1 on the right side and slope -1 on the left side. The parent function is y = |x|. The vertex of the V in the parent function is at (0, 0). Here, there has been a translation of the vertex to (5, -4).
The x-coordinate shifted 5 units right, or a shift of +5, and the y-coordinate shifted 4 units down, or a shift of -4.
y - k = |x - h| shows a shift of h units in x and k units in y when compared to the parent function y = |x|.
y - (-4) = |x - 5|
y + 4 = |x - 5|
y = |x - 5| - 4
Answer: A. y = |x - 5| - 4
How many hours? Thank you for your time.
Answer:
3/4 hours I believe so??
Can somebody tell me the domain and show me or tell me the work plz.
Answer:
Set the denom to 0 and solve.
x^2 - 16 = 0 --> x = -4,4
This means the vertical asymptote is 4, -4.
Therefor, the domain is for all real numbers that are not 4, -4.
We ignore the top because if the numerator was 0, it's still a number. But if the denom was 0, then it would be impossible (you can't divide by 0). So for all numbers that can go into the denom that aren't 0, is your domain.
Solve h + 6 / 5 = 2
Solve for h
Answer:
-1
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
h + 6 / 5 = 2 * 5
h + 6 = 10 -6
h = 4
using the recursive definition for the following arithmetic sequence, find the second, third, and fourth terms of the sequence. then writes the explicit formula that represents the sequence.
Step-by-step explanation:
[tex]A(2)=A(2-1)+6=A(1)+6=12+6=18[/tex]
The table below shows a linear relationship between x and y.
х
-4-2
0
6
у
8
5
2
-7
Which graph below represents the relationship in the table?
Let A = {a, b, c, d}, B = {a, c, d, e}. Let f : A → R and g : B → R such that f = {(a, 1),(b, 2),(c, 2),(d, 4)} and g = {(a, 0),(c, 4),(d, 8),(e, 0)}. State the domain and find: f − g
Answer:
b, but don't have translate into a great day. I name and phrase, angle of measurementhhvgz just don't have money in a sentence, and the king not sure how it was a great app that is
If you spend $99.79, in how many ways can you receive change from a one hundred-dollar bill?
Answer:
3 different ways
Step-by-step explanation:
100 - 99.79 = 0.21
.21 = 2 dimes and 1 penny
.21 = 4 nickels and 1 penny
.21 = 1 dimes, 2 nickels and 1 penny
Select the choice that translates the following verbal phrase correctly to algebra:
the difference of m and 7 increased by 15
m − (7 + 15)
7m + 15
(m − 7) + 15
m − 7 ÷ 15
Answer:
(m − 7) + 15
Step-by-step explanation:
draw and label what in the picture
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The triangle will have the noted sides the same length. It is best if they are marked as having the same length. The names of the same-length segments tell you the a.pex is point Y.
Can someone help me?? 3+3
Answer:
6
Step-by-step explanation:
count your fingers
Find cos(x) if [tex]\frac{sin^2x-1}{cosx} =-1[/tex].
A -1
B 2
C 1
D 0
(sin²(x) - 1)/cos(x) = -1
-cos²(x)/cos(x) = -1
-cos²(x) = -cos(x)
cos²(x) - cos(x) = 0
cos(x) (cos(x) - 1) = 0
Then it follows that cos(x) = 0 or cos(x) = 1. But if cos(x) = 0, then the original expression on the left side of the equation would be undefined. Then C is the only valid solution.
the height of tower A is 842 feet more than tower B. the two towers have a combined height of 1,920 feet. what are the heights of each tower
plz help!!!!!!!!!!!!!!!!!!!
Answer:
X= 30
y= 10
Step-by-step explanation:
(2x+90)=5x ( Opposite angles)
2x+90=5x
5x-2x= 90
3x=90
x=90/3
x= 30°
5x =5(30)=150
2x+90=2(30)+90=60+90=150
3y+150=180
3y=180-150
3y=30
y=30/3
y=10
I hope I helped you^_^
Answer:
Step-by-step explanation:
