d= dimes
q = quarters
d+q=26 coins
rewrite as d=26-q
0.25q +0.10d=4.25
0.25q+0.10(26-q)=4.25
0.25q+2.6-0.10q=4.25
0.15q=1.65
q=11
d=26-11=15
11*0.25 = 2.75, 15*0.10=1.50, 2.75+1.50=4.25
there are 11 quarters
The total cost of a vacation to a rain forest includes a fee of $560 for the tour guide, plus $630 per person. The function y=560+630x/ x
models the average cost per person, in dollars, when x people go on the vacation.
What is the horizontal asymptote of the function?
y= ????
Answer: y= 630 is the horizontal asymptote for the given function.
Step-by-step explanation:
Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to [tex]+\infty[/tex] or [tex]-\infty[/tex].
Thus, If there is a function f(x),
Then Its horizontal asymptote, y = [tex]\lim_{x\rightarrow \infty} f(x)[/tex]
Here the given function is, [tex]f(x) = \frac{560+630x}{x}[/tex]
Thus its horizontal asysmptote is, y = [tex]\lim_{x\rightarrow \infty} \frac{560+630x}{x}[/tex]
⇒ y = [tex]\lim_{x\rightarrow \infty}560/x+630[/tex]
⇒ y = 0+ 630
⇒ y= 630 is the horizontal asymptote of the given function f(x).
The horizontal asymptote of y = (630x + 560)/x is y = 630.
Linear functionA linear function is given by:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Given the total cost as y = 630x + 560.
For the function y = (630x + 560)/x, the horizontal asymptote is at:
y = 630x/ x = 630
The horizontal asymptote of y = (630x + 560)/x is y = 630.
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What is the angle of rotation of the minute hand of a clock moving from 11:15 to 11:40? Include direction
How are line graphs used to show how two variables are related?
simplify the expression r^-3s^5t^2/r^2st^-2
Please help me with math question
J is on -8, so it is 8 places to get to zero
K is on 4
so you have 8 + 4 = 12 units
Kieran’s wallet contains 7 bills: three $5 bills, two $10 bills, one $20 bill, and one $100 bill. if kieran pulls out two bills at random, what is the probability that he selects exactly two $5 bills?
Answer:
[tex]\bf\textbf{Probability of selecting exactly two $5 bill }=\frac{1}{7}[/tex]
Step-by-step explanation:
Total number of bills in the wallet = 7
Total number of $5 bills in the wallet = 3
Total number of $10 bills in the wallet = 2
Total number of $20 bill in the wallet = 1
Total number of $100 bill in the wallet = 1
We need to find the probability that he selects exactly two $5 bills.
Number of favorable outcomes = 3
[tex]\text{Probability of selecting one $5 bill }\frac{3}{7}[/tex]
[tex]\text{Probability of selecting second $5 bill }\frac{2}{6}[/tex]
[tex]\bf\textbf{Probability of selecting exactly two $5 bill = }\frac{3}{7}\times \frac{2}{6}=\frac{1}{7}[/tex]
Find the domain of f of x equals negative square root of the quantity two x plus four, plus 3?
A gift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches. how many square inches of wrapping paper are needed to wrap the box?
The surface area of the rectangular box is equal to 488 square inches.
What is surface area?The area of the surface of the rectangular box is equal to the total surface area of the rectangular box.
Given that, a gift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches.
The surface area will be calculated as,
SA = 2(6 x 14) + 2(6 x 8) + 2(14 x 8)
SA = 2(84) + 2(48) + 2(112)
SA = 168 + 96 + 224
SA = 488 square inches of paper to wrap the box.
Therefore, the surface area of the rectangular box is equal to 488 square inches.
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Final answer:
To find the square inches of wrapping paper needed for a gift box, calculate the surface area of the box by using its length, height, and width dimensions.
Explanation:
To calculate the square inches of wrapping paper needed to wrap the box, you need to find the surface area of the box.
Calculate the surface area of each side of the box: 2(length x width) + 2(width x height) + 2(length x height).
Plug in the given dimensions: 2(14 x 6) + 2(6 x 8) + 2(14 x 8).
Calculate the total: 2(84) + 2(48) + 2(112) = 168 + 96 + 224 = 488 square inches needed.
Pleaseeeeeeeeeee help what is circle b
ne S is the blue line, where does it contact circle B?
it touches at Point K,
so that would be the tangency.
Answer Point K
A standard die is rolled. P(A)= the probability of rolling a three
P(B)= the probability of rolling a even number
What is P(A or B)
Identify the function as either a constant, direct variation, absolute value or greatest integer function f (x)=-4
The graph shows the location of Grant's, Hannah's, and Isobel's houses. Each unit on the graph represents 1 block. A coordinate plane graph is shown. Grants house is located at negative 4 comma 3. Hannahs house is located at 1 comma 3. Isobels house is located at 1 comma negative 4. If Grant walks from his house to Isobel's house, then on to Hannah's house along the path shown, how far will he have walked in blocks? Round your answer to the nearest tenth.
The total distance covered in the graph from Grant to Isobel's house and Isobel's house to Hannah's house is 15.06.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given coordinate has been drawn in the graph below,
The locus of the path from Grant's house to Isobel's house and then Hannah's house is making a right-angle triangle.
By Pythagoras' theorem,
Distance from Grant's house to Isobel's house ⇒
√(4² + 7²) = 8.06
The distance from Isobel's house to Hannah's house ⇒ 3 + | -4| = 7
Therefore, 8.06 + 7 = 15.06.
Hence "The total distance covered in the graph from Grant to Isobel's house and Isobel's house to Hannah's house is 15.06".
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Find the 13th term of the sequence 8, -16, 32, -64, ...
A. 32768
B. -16384
C. -65536
D. None of these
Person 1 can do a certain job in twenty-one minutes, and person 2 can do the same job in twenty-eight minutes. When completing the job together, which expression would be used to represent the amount of work done by person 1?
21
1/21
x/21
21x
Answer:
[tex]\frac{1}{21}[/tex] would be used to represent the amount of work done by person 1.
Step-by-step explanation:
When someone does a work in x time,
Then, the work done by the person in one day = [tex]\frac{1}{x}[/tex]
Given,
Time taken by person 1 = 21 minutes
Thus, by the above statement,
The one day work of person 1 = [tex]\frac{1}{21}[/tex]
Hence, [tex]\frac{1}{21}[/tex] would be used to represent the amount of work done by person 1.
Second option is correct.
Quadrilateral ABCD is an Isosceles Trapezoid. Which angle is congruent to Angle C?
Answer:
The reason why any angles coming out from D and C are congruents is because of the geometry coungruence's concept of 2 items having the same pattern, shape or form and size as the mirror image of the other.
2 angles would be congruent by being the same angle in degrees or radians.
Thereby any angle coming out from C as vertex would be congruent with any other vertex point angle mirroring the resulting figure shaped by the radiants or degrees of such angle.
Step-by-step explanation:
convert 0.0000001 to a power of 10.
107
10−7
106
10−6
Answer:
Its actually 10 to the power of -7.
Step-by-step explanation:
This is because it can be written as:
1/10000000
Because there is 7 0's it becomes -7
Therefore its 10 to the power of -7
#10 with explanation please
10. 4x = 1
x = 1/4
since there is no y if you graph x = 1/4 you would get a straight vertical line at x = 1/4
since it is a vertical line it is symmetric about the x axis ( it looks the same on both sides of the x axis)
PLEASE HELP!!!!!!!!!!!!! GEOMETRY
Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides.
The interior angle of a regular hexagon is 120 degrees, and the exterior angle is 60 degrees.
Explanation:To find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides, we will use the fact that the sum of interior angles of a polygon is given by (n-2)×180°, where 'n' is the number of sides of the polygon. Thus, a regular hexagon will have its interior angles sum to (6-2)×180° = 720°. Since all interior angles in a regular polygon are equal, each interior angle will be 720° ÷ 6 = 120°. The exterior angle of a regular polygon is calculated as 360° ÷ n. Therefore, an exterior angle of a regular hexagon will be 360° ÷ 6 = 60°.
So, the interior angle of a regular hexagon is 120°, and the exterior angle is 60°.
The area of a triangle is ½ (b) (h), where the base and height are always two sides of the triangle.
a. True
b. False
Which is the graph of f(x)=3/2(1/3)^x
Answer:
Graph B
Step-by-step explanation:
Given is a function as
[tex]f(x) = \frac{3}{2} (\frac{1}{3} )^x[/tex]
There are 4 graphs given.
Out of the 4 options we have to select one which suits this graph
Let us study about f graph
X intercept is at infinity.
Or y=0 is asymptote for this curve
y intercept is when x =0
i.e. y intercept =3/2 (1) = 3/2
Only A and B satisfy this value of y intercept
Out of A and B we have to select one option
When x=1, we get
f(1) = 3/2 (1/3) = 1.5
This is satisfied only by Graph B.
Hence answer is graph B.
When x tends to -infinity y
Find the next term in the sequence:
1/3,2/9,3/27,...
A. 4/36
B. 4/54
C. 4/81
D. 4/109
need help: write the expression in a complete factored form: x²-9x+xy-9y
Which shows the graph of the solution set of 3y – 2x > –18? Mark this and return
When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system _______.
A. has infinite solutions
B. is inconsistent
C. is dependent
D. is consistent
If the determinant of the coefficient matrix is zero and neither numerator determinant is zero when using Cramer's Rule to solve a system of equations, then the system is inconsistent, meaning there's no solution.
Explanation:When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system is inconsistent.
Cramer's Rule is a method applied in linear algebra to solve a system of linear equations. The rule states that the system is inconsistent if the determinant of the coefficient matrix is zero (meaning the equations do not intersect) but at least one of the numerator determinants are nonzero. This condition indicates that there's no solution to the system of equations.
On the contrary, if the determinant of the coefficient matrix is zero an all the numerator determinants are also zero, the system is said to be dependent, meaning it would have infinitely many solutions.
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What is the center and radius of the circle with equation x2 + y2 + 6x + 16y + 64 = 0?
a country's population in 1995 was 175 million. In 2000 it was 181 million. Estimate the population in 2020 using exponential growth formula. Round you answer to the nearest million
Find the median of the following set of data. $12.50, $13.23, $11.20, $14.50, $12.50, $13.23, $15.60, $15.75
Answer:
The answer is 13.23
Step-by-step explanation:
In order to determine the median of the set of data, we have to know about median and how applicate it.
The median of a set of data is the middlemost number in the set. The median is also the number that is halfway into the set. To find the median, the data should first be arranged in order from least to greatest.
Also, if there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.
So, we arrange the set of data:
11.20
12.50
12.50
13.23
13.23
14.50
15.60
15.75
The data set is an even number.
The two middlemost numbers are: 13.23; 13.23.
So, the mean (average) is:
(13.23+13.23)/2=13.23
Finally, the median of the set of data is 13.23
A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form.
Answer:
The required probability is 5/18.
Step-by-step explanation:
Total number of total students = 10
Number of girls = 5
Number of boys = 5
Formula for probability:
[tex]Probability=\frac{\text{Favorable outcome}}{\text{Total outcome}}[/tex]
The probability that the first student chosen will be a girl = [tex]\frac{5}{10}=\frac{1}{2}[/tex]
After selecting 1 student, the total number of student is
[tex]10-1=9[/tex]
The probability that the second student chosen will be a boy = [tex]\frac{5}{9}[/tex]
The probability that the first student chosen will be a girl and the second will be a boy is
[tex]P=\frac{1}{2}\times \frac{5}{9}[/tex]
[tex]P=\frac{5}{18}[/tex]
Therefore the required probability is 5/18.
Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the race.
Answer:
thx for points man
Step-by-step explanation: