The maximum number of minutes that a person who spends no more than $5.00 can receive is 95 minutes
How to determine the maximum number of minutes?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation
Given that:
A parking meter charges 5 cents per minute and 25 cents fee to use the meter.
A person spends no more than $5.00 and the number of minutes, x
We can write:
0.05x + 0.25 ≤ 5
Solve for x:
0.05x ≤ 5-0.25
0.05x ≤ 4.75
x ≤ 4.75/0.05
x ≤ 95
Thus, the maximum number of minutes is 95 minutes
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Using composition of functions, determine if the two functions are inverses of each other. , x ≥ 0 , x ≥ 2 A. No, because the functions contain different operations. B. No, because the composition does not result in an answer of x. C. Yes, because F(x) is equal to –G(x). D. Yes, because the composition results in an answer of x for x ≥ 2.
The correct option regarding whether the two functions are inverse functions is given as follows:
B. No, because the composition does not result in an answer of x.
How to verify if the two functions are inverses of each other?Two functions are inverses of each other if the composition of these two function has a result of x.
From the image given at the end of the answer, the two functions in this problem are defined as follows:
[tex]F(x) = \sqrt{x} + 4, x \geq 0[/tex]G(x) = x² - 4, x ≥ 2.Their composition is given as follows:
[tex](G \circ F)(x) = G(\sqrt{x} + 4)[/tex]
[tex](G \circ F)(x) = (\sqrt{x} + 4)^2 - 4[/tex]
[tex](G \circ F)(x) = x + 8\sqrt{x} + 16 - 4[/tex]
[tex](G \circ F)(x) = x + 8\sqrt{x} + 12[/tex]
The composition does not result in x, hence the two functions are not inverses and the correct statement is given by statement B.
The problem is given by the image shown at the end of the answer.
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what is the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer?
The answer is that the the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer is 2 coscec 4x.
Cosecant is one of the trigonometric ratios . It is calculated as the ratio of the hypotenuse to the perpendicular of a right triangle. It is also calculated as the reciprocal of the sine function.
Now, here if the vertical asymptotes is x = pi/4 + pi/4 (n).
This is not defined when n=0.
so, when x= pi/4,
sin 4x = sin x = 0
which means w =0 .
and we get the equation for cosecant function to be f(x)= 2 cosec 4x since cosec x = 1/ sin x.
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Imagine that you could increase the gravitational
force on Earth to 200% its current force. What would life be like?
Compose a written response below in complete sentences.
Your joints and bones would first have to work harder to support your heavier weight.
What would happen if there was a 200% increase in gravity?If you were subjected to double gravity for an extended length of time, it may be deadly since it would put your body under a lot of strain. Your joints and bones would first have to work harder to support your heavier weight. Even minor motions would be difficult for your muscles.Our blood will be drawn down into our legs if the gravity is too powerful, and we risk having our bones break or perhaps being helplessly stuck to the earth. It is preferable to determine the gravitational limit of the human body before we set foot on a sizable new planet.To learn more about gravitational limit refer to:
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Find the slope of the line that passes through (5, 1) and (10, 7).
Answer:
6/5
Step-by-step explanation:
slope = m = y2-y1/x2-x1
change in y: 7-1 = 6
change in x: 10-5 = 5
slope = 6/5
HELP ME PLEASE!!
I HAVE NO IDEA WHAT IM DOING!!
A. 36
B. 54
C. 72
D. 18
Answer:
72
Step-by-step explanation:
We are told that line AC divides angle BAE in half or "bisects" it. We are also told that line AD divides angle CAE in half as well. Lastly we are giving the value of angle DAE which is 36.
Since line DA split angle CAE in half and we have half of the value, that means that the measure of angle CAE is 36 times 2 which is 72.
72 happens to be our answer for angle BAC because angle BAC is half of the largest angle BAE, which was divided in two by line AC.
Hope this helps!
Determine whether the relation is a function. (0,-3) (1,0) (2,3) (2,2) (3,1)
Answer:
function
Step-by-step explanation:
I did this math before
Answer:
this relation is a function
Please help meee asap please !!????
The fraction of a box that can be filled with the leftover textbooks is 10.
What is a fraction?
A fraction is a number that represents a part of a whole or a part of a collection. It is written in the form a/b, where a is called the numerator and b is called the denominator.
To find the fraction of a box that can be filled with the leftover textbooks, we need to first find the total number of textbooks that are leftover. We can do this by subtracting the number of fourth-grade textbooks and the number of fifth-grade textbooks from the total number of textbooks that can fit in a box:
Leftover textbooks = (28 textbooks/box) - (125 textbooks) - (191 textbooks)
= 28 textbooks - 125 textbooks - 191 textbooks
= -288 textbooks
Since there are -288 leftover textbooks, we can fill -288/-28 =-288/-28=10 boxes with the leftover textbooks.
Hence, the fraction of a box that can be filled with the leftover textbooks is therefore 10/1 = 10.
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The fraction of a box that can be filled with leftover textbooks is 125/7
What is the fraction?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
To find the fraction of a box that can be filled with leftover textbooks,
we need to first determine the total number of textbooks that will fit in a box.
Since a box can hold 28 textbooks, and the school has bought 125 Fourth Grade math textbooks and fifth-grade math textbooks,
the total number of textbooks the school has is 125 + 125 = 250 textbooks.
To find the fraction of a box that can be filled with leftover textbooks,
we can divide the total number of leftover textbooks by the total number of textbooks that fit in a box.
Since there are 250 leftover textbooks and a box can hold 28 textbooks, the fraction of a box that can be filled with leftover textbooks is 250/28.
Simplifying this fraction, we get:
250/28 = (250/14)/(28/14) = (250/14)/2 = 125/7
Therefore, the fraction of a box that can be filled with leftover textbooks is 125/7.
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can you please help me ASAP
Answer:
D. 7
Step-by-step explanation:
[tex] \frac{ \sqrt{196} }{\sqrt{4} } \\ [/tex]
[tex] \frac{14}{2} [/tex]
=7
PLS HELP W/ THESE LAST FEW QUESTIONS IM STRUGGLING THANK UU!!! (47 PNTS)
1) a
Obtuse and scalene
b
Isosceles and scalene
c
Acute and right
d
Right and scalene
e
Right and equilateral
2)Find the measure of the missing angle.
3)Find the measure of the missing angle.
6) t= ; ∠X
8) x=
10) m∠R = ; SR
Answer:
1. Scalene Triangle
2. 135 degrees
3. 80 degrees
I don't have much time for the rest, i'm sryyyyy
I hope i could helppp :3
Pleasure help mee !!???
Answer:
28. Just divide 1876 by 67.
Step-by-step explanation:
Answer:
28 I believe
Step-by-step explanation:
Which number line shows the solutions to n > -2?
++++
+
-6-5-4-3-2-1 0 1 2 3 4 5 6
←++++
H
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
+++
++++++
-6-5-4-3-2-1 0 1 2 3 4 5 6
+++++
-6-5-4-3-2-1 0 1 2
3 14 5 6
Done -
2
Find the sum of 5.21 × 1019 and 3.149 × 1017.
A. 8.359 × 1019
b. 5.24149 × 1019
c. 5.24149 × 1036
d. 8.359 × 1036
Answer:
B
Step-by-step explanation:
5.21 x 10^19 + 3.149 x 10^17
10^17(5.21 x 10^2 + 3.149)
10^17(521 + 3.149)
10^17(524.149)
5.24149 x 10^17 x 10^2
5.24149 x 10^(17+2)
5.24149 x 10^19
Answer: b. 5.24149 × 1019
Step-by-step explanation: I took the test
What number does B stand for
What number does C stand for
Answer:
B=20
C = 40
These are the answers
This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph
The function rule that could be represented by the graph is given as follows:
y = 2x³ + x - 3.
How to define the function?The first step in defining the function is looking at it's y-intercept, which is the value of y when the graph of the function crosses the y-axis.
This value is of -3, hence the function can be defined as follows:
f(x) = ax^n + x - 3.
Then we look at the behavior of the function. It has an inflection point, as it is concave down and then it becomes concave up, hence:
It's second derivative is of the first degree.It's first derivative is of the second degree.The function is of the third degree, hence n = 3.Thus:
f(x) = ax³ + x - 3.
Then we look at the x-intercept, meaning that when x = 1, y = 0, this the leading coefficient is obtained as follows:
0 = a + 1 - 3
a = 2.
Thus the function is defined as follows:
y = 2x³ + x - 3.
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Solve the system of equations using the substitution method. y = -5x -2x - y = 0 (x, y) = ( ¯\____|
Answer:
x= -2y/7
Step-by-step explanation:
y=-5x-2x-yif you switch sides you get
-5x-2x-y=y
add similar elements -5x-2x-y=-7x
-7x-y=y
move y to the right side
-7x=2y
decide both sides by -7
-7x/-7 = 2y/-7y
simplify
x = -2y/7
Which is a true statement about the given ratios?
9/14, 22/28, 5/7, 12/14
A. 9/14 > 5/7
B. 5/7 > 22/28
C. 12/14 > 22/28
D. 9/14 > 12/14
I would like if you show proof
Please help me
The true statement about the given ratios will be;
⇒ 12/14 > 22/28
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The ratios are,
⇒ 9/14, 22/28, 5/7, 12/14
Now,
Since, The ratios are,
⇒ 9/14, 22/28, 5/7, 12/14
Hence, The correct ratio will be;
⇒ 12/14 = 24/28
Thus, We get;
⇒ 12/14 > 22/28
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Answer: The true statement about the given ratios will be;
⇒ 12/14 > 22/28
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The ratios are,
⇒ 9/14, 22/28, 5/7, 12/14
Now,
Since, The ratios are,
⇒ 9/14, 22/28, 5/7, 12/14
Hence, The correct ratio will be;
⇒ 12/14 = 24/28
Thus, We get;
⇒ 12/14 > 22/28
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Solve for y. Find m∠ C and m∠ D. Show all work.
The value of y is 10. The measure m∠ C and m∠ D are 40° and 76° respectively.
What is external angle?
The angle created when a transversal cuts one of two lines and is located outside of the line. It describes the angle between a side of a polygon and an expanded adjacent side.
The measure of an external angle of a triangle is equal to the sum of opposite interior angles.
∠DEF is an exterior angle. The opposite interior angles of ∠DEF are m∠ C and m∠ D
Therefore,
m∠ C + m∠ D = ∠DEF
4y° + (7y + 6)° = 116°
Add like terms
11y + 6 = 116
Subtract 6 from both sides:
11y = 110
Divide both sides by 11:
y = 10
Putting y = 10 in m∠ C = 4y° and m∠ D = (7y + 6)°
m∠ C = 40°
m∠ D = 76°
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0.55 / 2what is the probability that neither a nor b will happen? (round your answer to 2 decimal places.)
(a) The probability of either A or B occurring is 0.81.
(b) The probability that neither A nor B will happen is 0.19.
In the given question,
P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42
(a) We have to find the probability of either A or B occurring.
P(A)=0.39
P(B)=0.42.
Since, events A and B are mutually exclusive
P(A and B) = 0
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.39 + 0.42 - 0
P(A or B) = 0.81
Probability of either A or B occurring is = 0.81
(b) Now we have to find the probability that neither A nor B will happen.
P(A or B) = 0.81
Probability that neither A nor B will happen = 1 - P(A or B)
Probability that neither A nor B will happen = 1 - 0.81
Probability that neither A nor B will happen = 0.19
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The right question is:
The events A and B are mutually exclusive. Suppose P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42.
(a) What is the probability of either A or B occurring? (Round your answer to 2 decimal places.)
(b) What is the probability that neither A nor B will happen? (Round your answer to 2 decimal places.)
49: 1 of 1 question 2 with 1 blank 97: 1 of 1 question 3 with 1 blank 113: 1 of 1 question 4 with 1 blank 632: 1 of 1 question 5 with 1 blank 1.781: 1 of 1 question 6 with 1 blank 3.558: 1 of 1 question 7 with 1 blank 1.006.015: 1 of 1 question 8 with 1 blank 67.224.370: 1 of 1 3
Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.
These numbers in Spanish are:
1. 49: cuarenta y nueve
2. 97: noventa y siete
3. 113: ciento trece
4. 632: seiscientos treinta y dos
5. 1.781: mil setecientos ochenta y uno
6. 3.558: tres mil quinientos cincuenta y ocho
7. 1.006.015: un millon seis mil quince
8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta
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Answer:
49: cuarenta y nueve
2. 97: noventa y siete
3. 113: ciento trece
4. 632: seiscientos treinta y dos
5. 1.781: mil setecientos ochenta y uno
6. 3.558: tres mil quinientos cincuenta y ocho
7. 1.006.015: un millon seis mil quince
8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta
Step-by-step explanation:
y = -2x + 1
4x + y = 9
Solve the system of equations without graphing. Show all the math steps needed to find the solution to this system.
Answer:
x =4 & y = -7
Step-by-step explanation:
this is the right answer
-8x - 5(-5x - 1) - 7 = 3(x − 3)
Answer:
-8x+25x+5-7=3x-9
or ,17x -2=-9+2
or, -14x=-7
or, x=-7/-14
x=1/2
Answer:
-8x +25x +5-7=3x-9
17x-2 = 3x-9
17x-3x=9+2
14x =11
x= 14/11
A quadratic function y=f(x)is plotted on a graph and the vertex of the resulting parabola is (-6, 5). What is the vertex of the function defined as g(x)=f(x-3)?
Answer:
The answer is (-9, 5). Hope this helps.
PLEASE HELP URGENT WITH 4 AND 6
The solution is
a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01
b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125
The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96
What is Compound Interest?
Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the principal be P = amount after first period = $ 402
Now , the rate of interest r = 6 %
The compound interest is calculated by compounding monthly
Now , the interest for the second period = ( PRT / 100 x 12 )
Substituting the values in the equation , we get
The interest for the second period = ( 402 x 6 x 1 ) / 1200
The interest for the second period = $ 2.01
The amount after the second period = amount after first period + interest for the second period
The amount after the second period = 402 + 2.01
The amount after the second period = $ 404.01
b)
Let the principal be P = $ 18260
The rate of interest r = 2.5 %
The compound interest is calculated by compounding quarterly
Now , the interest for the first period = ( PRT / 4 x 100 )
Substituting the values in the equation , we get
The interest for the first period = ( 18260 x 2.5 ) / 400
The interest for the first period = 45650 / 400
The interest for the first period = $ 114.125
The amount for the first period = 18260 + 114.125
The amount for the first period = $ 18,374.125
Now , the principal for the second period = interest + amount of first period
The principal for the second period = $ 18,374.125
The rate of interest = 2.5 %
The interest for the second period = ( PRT / 4 x 100 )
Substituting the values in the equation , we get
The interest for the second period = ( 18374.125 x 2.5 ) / 400
The interest for the second period = 45935.3125 / 400
The interest for the second period = $ 114.83828125
The amount for the second period = 18,374.125+ 114.84
The amount for the second period = $ 18,488.96
Hence , the amount and interest is calculated
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PLEASE EXPLAIN WHY YOU GOT YOUR ANSWER PLEASEE!!!!
When Skip was a puppy, he weighed 5.6 lbs. When he visited the vet, he weighed 13.3 lbs. How much weight did Skip gain between the time he was a puppy and his vet visit?
Answer:
7.7
Step-by-step explanation:
I got this by subtracting 13.3 - 5.6
you are skiing down a mountain with a vertical height of 2900 feet. the distance from the top of the mountain to the base is 5800 feet. to the nearest degree, what is the angle elevation from the base to the top of the mountain?
Answer:
30°
Step-by-step explanation:
You want the angle of elevation to a point 2900 feet up that is 5800 feet distant on a straight line.
SineThe sine of the angle is the ratio of the height to the straight-line distance.
sin(θ) = h/d = 2900/5800 = 1/2
θ = arcsin(1/2) = 30°
The angle of elevation is 30° from the base to the top.
Answer: When doing a problem like this I always draw an example so I can see it. If you do that you see a right triangle with the hypothenuse, 2500 feet, is the distance from the top to the base. The opposite side is 1250 feet. Then remember sine= o/h, (opposite side over hypothenuse). So divide 1250/2500 and you get .5 Now take your calculator and use "inv" or sin-1 button to get the answer of the angle. x = 30
sinθ 1250/2500 = 1/2; θ = sin-1(1/2) = 30°
Step-by-step explanation:
For this lab, you will find the area of an irregularly shaped room with the shape as shown above.
Ask the user to enter the values for sides A, B, C, D, and E and print out the total room area.
Remember the formula for finding the area of a rectangle is length * width and the area of a right triangle is 0.5 * the base * height.
Please note the final area should be in decimal format.
Sample Run
Enter side A: 11
Enter side B: 2
Enter side C: 4
Enter side D: 7
Enter side E: 1
Sample Output
Room Area: 53.5
The python program code is written to find the area of the shape.
What is meant by area?The size of a region on a planar or curved surface is expressed mathematically as area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina.
The program is given as:
print('Please, enter sides lengths:')
# Getting sides lengths
a, b, c, d, e = map(float, (input('A = '), input('B = '), input('C = '), input('D = '), input('E = ')))
# Finding a rectangle area
rect_area = a * b
# Finding a triangle area
triang_height = (c**2 - (a / 2)**2)**0.5
triang_area = 0.5 * a * triang_height
# Sum area
area = rect_area + triang_area
print('Total room area: %f' % area)
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The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
Trent and his family are heading to Perfect Putt Mini-Golf. They plan to purchase the group package. With the package, the cost per person is $3 less than the normal cost for an individual. There are 6 people in Trent's family. His mom called ahead and found that the total cost for the family will be $30.
Which equation can you use to find the normal cost, x, for an individual?
3x-6=30
6(x-3)=30
6x-3=30
3(x-6)=30
Please help!!! I need this!!
A triangle has vertices (0,0), (2,4), and (5,1). What are the coordinates of the circumcenter?, or the same triangle with vertices (0,0), (2,4), and (5,1), what are the coordinates of the orthocenter?
and could I have steps please?
Answer:
The circumcenter of the triangle with vertices (0,0), (2,4), and (5,1) is located at (3,2).
To find the circumcenter, use the formula:
Cx = (x1 + x2 + x3)/3
Cy = (y1 + y2 + y3)/3
In this case, Cx = (0 + 2 + 5)/3 = 3
Cy = (0 + 4 + 1)/3 = 2
Therefore, the circumcenter of the triangle is located at (3,2).
The orthocenter of the triangle with vertices (0,0), (2,4), and (5,1) is located at (2.5, 2.5).
To find the orthocenter, use the following equation:
Hx = (x1 + x2 + x3)/3
Hy = (y1 + y2 + y3)/3
In this case, Hx = (0 + 2 + 5)/3 = 2.5
Hy = (0 + 4 + 1)/3 = 2.5
Therefore, the orthocenter of the triangle is located at (2.5, 2.5).
Step-by-step explanation:
1. Given a mean of 165 and a standard deviation of 4, use the empirical rule to answer the following questions: a. What percent is less than 161? b. What percent is more than 173? c. What percent is between 157 and 169? d. What is the 84 th percentile?
Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution:
Percentile Value is equal to z +.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.
Standard deviation may be written as SD.
A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.
Though in algebra, it is simpler
According to our question-
a. 157 is less then 161
b. n>173, n be a real number.
Hence, Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution: Percentile Value is equal to z +.
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