The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function. a. Identify the independent variable and the dependent variable in this function. b. Describe the function with a sentence of the form "________________ is a function of ________________." c. Suppose it costs $3 per hour to park, with a maximum cost of $12. Sketch a possible graph of the function. Be sure to label the axes.
a. The independent variable in this function is the amount of time a car is parked, measured in hours. The dependent variable is the cost of parking, measured in dollars.
b. "The cost of parking is a function of the amount of time a car is parked."
c. Here is a possible graph of the function:
^
|
$12 +--------/-----
| /
| /
| /
$3 o
|
|
|
+--------------->
Time
In this graph, the vertical axis represents the cost of parking in dollars, and the horizontal axis represents the amount of time a car is parked in hours. The graph shows a linear relationship between the two variables, with a slope of $3 per hour, up to a maximum cost of $12. This means that the cost of parking increases by $3 for each additional hour of parking, up to a maximum cost of $12.
Construct triange ABC, in which AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. Measure the length of BC. Give your answer to 1 d. P
From the construction of the triangle ABC we get that the measure length of BC is approximately 4.22cm
To construct triangle ABC, we can follow these steps:
Draw a line segment AB of length 6 cm.Draw an angle of 96 degrees at point A using a protractor.Draw an angle of 35 degrees at point B using a protractor.The intersection point of the two lines that were drawn in step 2 and 3 will be point C, which is the third vertex of the triangle.To measure the length of BC in triangle ABC, we can use the law of sines.
The law of sines states that in any triangle ABC:
a / sin(A) = b / sin(B) = c / sin(C)
Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.
In our triangle ABC, we know AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. We can find the measure of angle ACB by using the fact that the sum of the angles in a triangle is 180 degrees:
angle ACB = 180 - angle BAC - angle ABC
= 180 - 96 - 35 = 49 degrees
Now, we can apply the law of sines to find the length of BC:
BC / sin(35) = 6 / sin(96)
BC = 6 × sin(35) / sin(96)
Using a calculator, we can evaluate this expression to get:
BC ≈ 4.22 cm
Therefore, the length of BC in triangle ABC is approximately 4.22 cm.
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A poker player holds a flush when all 5 cards in the hand belong to the same suit. We will find the probability of a flush when 5 cards are dealt. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card dealt is equally likely to be any of those that remain in the deck. We will concentrate on spades. What is the probability that the first card dealt is a spade? What is the conditional probability that the second card is a spade given that the first is a spade?
Step-by-step explanation:
that would be 1/52
since deck means 52
what is the equation of the line containing the points (4,2) and (-5, 1)? Write your answer in slope-form. PPPPPLLLLLLLLLLLEEEEEEEEASE HELP
Answer:
y=-1/9x+2.44
Step-by-step explanation:
m=y2-y1/x2-x1
1-2=(-1)
(-5)-4=(-9)
-1/9
y=mx+b
2=-1/9(4)+b
-1/9*4=-0.44444444444
-0.444.... rounded is -0.44
(-0.44)-(-0.44) =0
2-(-0.44 )=2.44
y=-1/9x+2.44
hope this helps
sorry if im wrong i had a lil trouble on this one :(
Write the fraction as a decimal. 4/5 *
John needs to buy at least 100 tiles to redecorate his bathroom. The tiles are sold in packs of 6.
In which inequality does n represent the minimum number of packs John needs to buy for his bathroom?
Answer: \(n\geq17\)
Step-by-step explanation:
Let n= Number of packs John needs.
Tiles in 1 pack = 6
Tiles in n pack = 6n
If he needs at least 100 tiles.
then
6n ≥ 100
\(\Rightarrow\ n\geq100\\\\\Rightarrow\ n\geq\dfrac{100}{6}\\\\\Rightarrow\ n\geq\dfrac{50}{3}\\\\\Rightarrow\ n\geq16.67\\\\\Rightarrow\ n\geq 17\)
The required inequality: \(n\geq17\)
Find the value of x.
Answer:
Step-by-step explanation:
This is a right triangle; so you can use the Pythagorean Theorem (\(a^2 + b^2 = c^2\)), where a and b are the lengths of the legs and c is the hypotenuse.
You get: \(5^2 + 12^2 = c^2\)
Simplify the expression: \(25 + 144 = c^2\)
Combine like terms: \(169 = c^2\)
Take the square root of both sides: \(\sqrt{169} = \sqrt{c^2}\)
Evaluate: 13 = c
So the answer is letter c ... x = 13
Find JH if I is the midpoint.
Answer:
158
Step-by-step explanation:
If I is the midpoint of JH, JI= IH
JH= JI +IH
JH= JI +JI (subst. IH= JI)
JH= 2(JI)
Since JI= 79,
JH= 2(79)
JH= 158
The name of this bronze-casting process relies on a modeled original form made from a pliable material. This method is known as ________.
The bronze-casting process that depends on a modelled original form is: lost-wax casting.
What is Lost-wax Casting?Lost-wax casting is a bronze-casting process which is also referred to as the cire-perdue. In this type of metal casting, a wax model is created when a molten metal is usually poured into a mold. The wax model is then melted and drained.
In summary, the name for this bronze-casting process that relies on this wax model is called: lost-wax casting.
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Find x using the secant-tangent theorem.
Answer:
Step-by-step explanation:
Error using diff
Difference order N must be a positive integer scalar.
Error in Newton_Raphson_tutorial (line 35)
f_prime0 = diff(f,x0,xinc); % compute the
derivative of f, between x0 and xinc
Error in Tutorial_m (line 51)
x = Newton_Raphson_tutorial(H,x0); % call the Newton
Raphson function (Newton_Raphson_tutorial.m)
for Tutorial_main.m
%=========================================================================
% Lecture 16: In Class Tutorial
%
% This function calculates the radial equilibrium function for an axially
% stretched and pressurized thick wall vessel and is part of the set of
% equations you will implement for your vasculature project
%
% Input data:
% luminal pressure (Pi), axial stretch (lambdaz_v)
% material parameters, radii in ktf (Ri, Ro)
%
% Output data:
% approximation of the outer radius, ro
%
% The inverse solution of the radial equilibrium involves finding
% the root of the equation:
% Pi - int_{ri}^{ro} (tqq-trr)/r dr = 0
%===============================
The error message "Difference order N must be a positive integer scalar" is indicating that there is an issue with the input argument for the diff function.
The diff function is used to calculate the difference between adjacent elements in a vector.
In the code you provided, the line that is causing the error is:
f_prime0 = diff(f,x0,xinc);
To fix this error, you need to ensure that the input arguments for the diff function are correct.
To fix this problem, you need to look at the code in the Newton_Raphson_tutorial function and possibly also the Tutorial_m function. You probably get an error when computing the derivative with the 'diff' function.
However, we can offer some general advice on how to fix this kind of error. The error message suggests that the variable N used to specify the difference order should be a positive integer scalar.
Make sure the variable N is defined correctly and has a positive integer value.
Make sure it is not assigned a non-integer or non-scalar value.
Make sure the arguments to the diff function are correct.
The diff function syntax may vary depending on the programming language or toolbox you are using.
Make sure the variable to differentiate ('f' in this case) is defined and suitable for differentiation.
Make sure that x0 and xinc are both positive integer scalars, and that f is a valid vector or matrix.
Additionally, it's important to check if there are any other errors or issues in the code that could be causing this error message to appear.
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given vector u equals open angled bracket negative 11 comma negative 5 close angled bracket and vector v equals open angled bracket 4 comma 8 close angled bracket comma what is projvu?
The value of the vector VU is <44, 40>
Vector:
in math vector consist an object that has both a magnitude and a direction.
Given:-
Here we have the vector v and u with the value of v = <11, 5> and the value of u = <4, 8>.
Now, we have to find the value of VU.
In order to find the value of VU, we have to perform the multiplication operation on the given vector,
In order to perform the multiplication on it, we have to arrange them in the following order,
=> VU = <11, 5> x <4,8>
Now, we have to combine the values like the following,
=> <(11 x 4) , (5 x 8)>
Now, do the multiplication then we get,
=> <44, 40>
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this afternoon dan left school, rode the bus 11/12 of a mile, and then walked 1/3 of a mile to get home. how much farther did dan ride than walk? write your answer as a fraction or as a whole or mixed number.
Dan rode 7/12 miles farther than walk after school.
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
To compare both the fractions we will make the denominators similar and then subtract them to know the distance.
So the walking distance is 1/3 miles
This is also equal to 4/12 miles. (By multiplying both denominator and numerator with 4)
Now subtract 11/12 and 4/12
11/12-4/12 = 7/12 miles.
Therefore, Dan rode 7/12 miles farther than walk after school.
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Can someone help thanks.
Answer:
1/144
Step-by-step explanation: I presume..
And recall something from Algebra...
I hope it helps...
Square it
And reverse it because of the negative
It is a fraction
Answer:
\( = { \sf{ \frac{1}{ 144 } }}\)
Step-by-step explanation:
\( = { \tt{ \frac{1}{ {12}^{2} } }} = \frac{1}{144} \)
Yaniq spins both spinners and then adds the numbers together. What is the probability that yaniq gets total more than 9, and what’s the probability that he gets less than 7?
The probability of the events depicted by the spinner are 2/9 respectively.
Recall the relation for probability:
probability= required outcome/ Total possible outcomesA )
Complete table is the sum of the output of the two spinners :
1st_2nd__ Total
3__2 ____5
3__4 ____7
3__6 ____9
4__2 ____6
4__4 ____8
4__6 ____10
5__2 ____7
5__4 ____9
5__6 ____11
B.)
probability of getting a total of more than 9.
Numbers more than 9 are (10, 11) = required outcome= 2
Total possible outcomes= n(Total) = 9
P(Total above 9) = 2/9
C.)
probability of total less than 7
Numbers less than 7 are (5, 6) = required outcome=2
Total possible outcomes= n(Total) = 9
P(Total less than 7) = 2/9
Therefore, the probability values of each event are 2/9 respectively.
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what steps are necessary before you can calculate the test statistic for a two sample test of means with population variances equal but unknown? choose two.
We have to calculate the estimated standard error and means of the two samples before calculating the test statistic for a two sample test of means with population variances equal but unknown.
In the given question, we have to explain steps that are necessary before you can calculate the test statistic for a two sample test of means with population variances equal but unknown.
The test statistic for a two-sample independent t-test is derived by dividing the difference between the means of the two samples by the estimated standard error, either pooled or unpooled. The total amount of variation in both groups is gauged by the anticipated standard error.
So we have to calculate the estimated standard error and means of the two samples before calculating the test statistic for a two sample test of means with population variances equal but unknown.
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Test Yourself
To show that a real number is rational, we must show that we can write it as ___________________________________.
Answer: a/b
Step-by-step explanation:
There isn't really an explanation for this but
a ration number has to be able to be written as a fraction
for example, the number 6 is rational
we can prove this because 6 can be written as 6/1.
to be able to buy a new computer, Rita decides to save for 4 years. She opens a savings account with $800. the account pays simple interest at an annual rate of 4%. She doesn't make any more deposits. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Rita earn? (b) What will the total amount in the account be (including interest)?
Answer: $128 and $928
Step-by-step explanation:
Hi! So, first let's find out how much interest Rita gets per year. To find this multiply 0.04 (decimal form of 4 per cent) by 800. We get 32. Rita gets $32 dollars per year in interest. She saves for 4 years, so multiply 32 by 4. We get 128. Rita gets $128 dollars total in interest. Now add 128 + 800 to get 928. Rita's total amount in the account is $928 dollars. All the best!!
Which table made this graph?
Answer:
C. IV
Step-by-step explanation:
All the points on the graph have an x value of -3
The standard deviation is _____ when the data are all concentrated close to the mean, exhibiting little variation or spread.
The standard deviation is relatively small when the data are all concentrated close to the mean, exhibiting little variation or spread.
The standard deviation could be a degree of the changeability or spread of a set of information. It is calculated by finding the square root of the normal of the squared contrasts between each information point and the cruel(mean).
In other words, it tells us how much the information values are scattered around the mean.
When the information is all concentrated near the cruel(mean), it implies that the contrasts between each information point and the cruel are moderately little.
This comes about in a little while of squared contrasts, which in turn leads to a little standard deviation. On the other hand, when the information is more spread out, it implies that the contrasts between each information point and the cruel are bigger.
This comes about in a bigger entirety of squared contrasts, which in turn leads to a bigger standard deviation.
For case, let's consider two sets of information:
Set A and Set B.
Set A:
2, 3, 4, 5, 6
Set B:
1, 3, 5, 7, 9
Both sets have the same cruel(mean) (4.0), but Set A encompasses a littler standard deviation (1.4) than Set B (2.8).
This is because the information values in Set A are all moderately near to the cruel(mean), while the information values in Set B are more spread out.
Subsequently, we will say that the standard deviation is generally small when the information is all concentrated near the mean, showing a small variety or spread.
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Anna’s bank gives her a loan with a stated interest rate of 10.22%. how much greater will anna’s effective interest rate be if the interest is compounded daily, rather than compounded monthly? a. 0.5389 percentage points b. 0.1373 percentage points c. 0.4926 percentage points d. 0.0463 percentage points please select the best answer from the choices provided a b c d
Option c. 0.4926. The effective interest rate with daily compounding is 0.4926 percentage points higher than with monthly compounding.
The viable financing cost is the genuine measure of revenue that Anna pays, considering the building recurrence. To look at the successful loan fee when the interest is accumulated day to day versus month to month, we can utilize the equation:
Viable financing cost = (1 + (expressed loan fee/n))^n - 1
where n is the quantity of intensifying time frames each year. For month to month compounding, n = 12, and for everyday compounding, n = 365.
Connecting the qualities, we get:
For month to month compounding: (1 + (0.1022/12))^12 - 1 = 0.1066 or 10.66%
For everyday compounding: (1 + (0.1022/365))^365 - 1 = 0.1115 or 11.15%
The contrast between the two powerful loan costs is 0.1115 - 0.1066 = 0.0049 or 0.49%, which is around 0.4926 rate focuses. In this manner, the right response is (c) 0.4926 rate focuses.
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Translate this sentence into an equation.
Craig's age increased by 9 is 41.
Use the variable c to represent Craig's age.
That sentence tells us that when you add 9 to Craig's age, the answer is 41 therefore you are simply adding those two and you'll get the equation:
\(c\ +\ 9\ =\ 41\)
A graph of a system of two equations is shown.
ту
6
2.
-6
-4
-2
2
4
6
-2
-4
-6
What is the solution of the system?
-2 -1 0 1 2
Answer:
x=1, y=2
Step-by-step explanation:
thats where they intersect so its the solution
Write the recurring decimal 0.25 (with just the 5 recurring) as an exact fraction.
Thank you!
Answer:
23/90
Step-by-step explanation:
Create a variable called "x" with a value of 0.2555 repeating.
10x would be equal to 2.555 repeating.
Calculate 10x - x using these numbers; 2.555 repeating minus 0.2555 repeating is 2.3 (the repeating fives subtract and cancel out). 2.3 is equal to 9x, so to find x, we write the fraction 2.3/9. To get rid of the decimal in the numerator, we multiply both the numerator and the denominator by 10: this gives 23/90. 23 is a prime number, so we know this fraction cannot be simplified further.
Estimate a 15% tip on a dinner bill of 59.17 by first rounding the bill amount to the nearest ten dollars.
well, the bill was $59.17, if we round it by the "tens", the closest to 59 is 60, since 59 is farther from 50 but closer to 60, so it rounds up to 60
\(50\stackrel{farther}{\rule[0.35em]{18em}{0.25pt}59.17}\stackrel{closer}{\rule[0.35em]{2em}{0.25pt}}60 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 60}}{\left( \cfrac{15}{100} \right)60}\implies 9\)
Solve 5(4m + 1) − 2m = −13.
Answer:
Step-by-step explanation
5(4m+1)-2m=-13
20m+5-2m=-13
20m-2m=-13-5
18m=-18
m=-1
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{5(4m+1)-2m=-13 } \end{gathered}$}\)
Apply the multiplicative law of distribution.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{20m+5-2m=-13 } \end{gathered}$}\)
Combine as terms.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{18m+5=-13 } \end{gathered}$}\)
Rearrange the unknown terms to the left side of the equation.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{18m=-13-5 } \end{gathered}$}\)
Calculate the sum or difference.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{18m=-18 } \end{gathered}$}\)
Divide both sides of the equation by the coefficient of the variable.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{m=-\frac{18}{18} } \end{gathered}$}\)
Solve for the common factor.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{m=-1 \iff } \end{gathered}$}\boxed{\boxed{\bf{Answer}}}\)
Which choice is equivalent to the product below when x>0 ?
Answer: x/3 ==> C
Step-by-step explanation:
(2x/3)^1/2 * (x/6)^1/2=
(2x/3 * x/6)^1/2=
(2x^2/18)^1/2=
(2x^2)^1/2 / 18^1/2=
(2x^2)^1/2 / (2*9)^1/2=
(2x^2)^1/2 / 3*2^1/2=
2^1/2 * (2x^2)^1/2 / 3*2=
(2(2x^2))^1/2 / 6=
(4x^2)^1/2 / 6=
4^1/2 * (x^2)^1/2 / 6=
2x/6=x/3 ==> C
solve each system using the substitution method 6x-y=-4 and 2x+2y=15
Expand and simplify5(2a)-7+3a
Answer:
13a-7
Step-by-step explanation:
First step: Multiply the numbers
5*2a-7+3a
10a-7+3a
Second step: Combine like terms :)
10a-7+3a
13a-7
(if its wrong you have every right to report me)
To test the hypothesesHo: p=.4Ha: p not equal .4We take a random sample of 160 people and calculate a p-hat of 0.48. What is the z-statistic for this p-hat?
To find the z-statistic, we can use the formula: z = (p-hat - p) / sqrt(p * (1-p) / n). Therefore, the z-statistic for this p-hat is 2.52.
where p-hat is the sample proportion, p is the hypothesized population proportion, and n is the sample size.
Plugging in the values, we get:
z = (0.48 - 0.4) / sqrt(0.4 * 0.6 / 160)
z = 2.52
Therefore, the z-statistic for this p-hat is 2.52.
To calculate the z-statistic for the given p-hat, we will use the following formula:
z = (p-hat - p) / sqrt((p * (1 - p)) / n)
where p-hat is the sample proportion (0.48), p is the hypothesized proportion (0.4), and n is the sample size (160).
z = (0.48 - 0.4) / sqrt((0.4 * (1 - 0.4)) / 160)
z = (0.08) / sqrt(0.24 / 160)
z = 0.08 / 0.030
The z-statistic for this p-hat is approximately 2.67.
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