When the value of x = 1, the value of y = 729.
What is inverse relation?An inverse relationship is one where the value of one parameter decreases as the value of the second parameter increases. It is frequently described as a bad relationship.
In other phrases, an inverse relationship, also recognized as a negative relationship, is a negative relationship between two variables that moves in the opposite direction. Like, we have two variables X and Y. As X increases, so does Y, and as Y increases, so does X.Now, as per the question.
y varies inversely with the cube of x.
y ∝ 1/x³
Removing inverse, a constant of proportionality will come (say k)
y = k/x³
k = x³y.
When x = 9 then y = 1. Substitute the values and find k.
k = 9³(1)
k = 729
Now, estimate the value of y when x = 1.
y = k/x³ ( put the value of k and x )
y = 729/1³
y = 729
Thus, the value of y when the value of x = 1 is 729.
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Lucy's dog lost 6 pounds. How much weight does her dog have to gain in order to have a net change of 0 pounds?
Lucy's dog needs to gain 6 pounds.
Lucy's dog lost 6 pounds so the dog will have to gain 6 pounds.
Student tickets to a theme park are $15 per person plus a travel fee of $50. The equation y = 50+ 15x represents the total cost, where x is the number of students. If there are at least 10 students but no more than 15 going on the trip, what is the domain of the situation?
Based on the given parameters, the domain of the situation is 10 <= x <= 15
What is the domain of a function?The domain of the function is the set of input values of the graph
How to determine the domain of the situation?The equation of the function is given as:
y= 50 + 15x
Where
Travel fee = $50Theme park ticker = $15 per personFrom the question, we understand that:
At least 10 students but no more than 15 are going on the trip
When the above is represented as an inequality, we have
10 <= x <= 15
Where x is the number of students
Hence, the domain of the situation is 10 <= x <= 15
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ana worked 6 1/2 h on monday, 5 3/4 h on Tuesday and 7 1/6 h on Friday. how many hours did she work these three days.
Classify the angle as acute , obtuse , right , or straight
Answer:
From top to the bottom:
Acute,
Right,
Straight
Step-by-step explanation:
An acute angle is formed when the measure of the angle is smaller than 90° which is provided in te first image.
A right angle is formed when the measure of an angle is precisely 90° which we can see in the second image.
A straight angle is formed when the measure of an angle is precisely 180° no less no more, which we can see in the last image.
PLEASE HELP FAST PLEASE PLEASE
Answer:
6
Step-by-step explanation:
Because 5×12 is 60
and 1×12 is 12
Add them and you get 72 and 6
Hope this helps!
2.4z + 1.2z - 6.5 = 0.7
Answer: z = 2
Step-by-step explanation:
2.4z+1.2z-6.5=0.7
3.6z-6.5=0.7
3.6z=0.7+6.5
3.6z= 7.2
z=7.2/3.6
z=2
Which expression is equivalent to (4y²) ³ (3y²)?
O 12y8
12y12
192y8
192y12
Answer: It is 192y^8. Just solve each one seperately until the answers match. Reduce the expression to 192y^8. Feel free to message me for an explanation
Answer: C. 192y>8
Step-by-step explanation:
The product of 3 and the sum of 11 and a number
Answer:
let the number be x
3×(x+11)
3x+33
what is this in simplest form 1 3/8 - -7/8)=
Answer:11
Step-by-step explanation:
jeremy has 25 marbles, he gives 5 to his teacher, then he give five to his best friends. once he gets home he gives 5 to his sister right the terms in order to determine how many marbles he has
Answer: 25 - 15 = 10
Step-by-step explanation:
Miranda bought a square frame that has an area of 30 square inches.What is the approximate side length of the frame to the nearest tenth?
Answer:
6in lenght
Step-by-step explanation:
cause 30in square = 5 multiplied by 6 = 30
The size of a dollar bill is 6.6 cm wide, 15.6 cm long and 0.109 mm in thickness. approximately how many dollar bills are in a 0.28 inch stack.
There are 4 dollar bills are in a 0.28 inch stack.
Given that, the size of a dollar bill is width= 6.6 cm, length=15.6 cm and height= 0.109 mm= 0.109/10 =0.0109 cm.
What is the volume of the cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. If we have a rectangular sheet and we go on stacking such sheets, we will end up getting a shape that has some length, breadth, and height. The formula to find the volume of the cuboid = Length × Width × Height.
Now, the volume of a dollar bill=15.6 × 6.6 × 0.0109
=1.122264 cm³
Conversion of cm³ to cubic inches.
That is, 1.122264×0.0610237=0.06848≈0.07
Now, the number of dollars bills=0.28/0.07
=4
Therefore, there are 4 dollar bills are in a 0.28 inch stack.
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An American dollar is worth about €0.89 in Euro currency. Which is approximately equal to €550 Euros?
(A) $635 U.S. dollars
B $621 U.S. dollars
D
$337 U.S. dollars
$331 U.S. dollars
Question 4
Which operation would produce the correct answer for
Answer:
Step-by-step explanation: Well €550 Euros is equal to $547.42 US dollars in currency. But since this is approximately, (D) should be correct.
What steps would you take to approximate the total amount Gwinnett
County must pay teachers for the whole year?
The steps that you should take to approximate the total amount that Gwinnett County must pay teachers for the whole year are:
Find out the average wages paid to teachers in Gwinnett County.Find out the number of teachers in Gwinnett County.Multiply the number of teachers with the average wages paid. How to find the approximate amount paid to teachers?The approximate amount that is paid to teachers in will be based on the average wages that is paid to teachers in Gwinnett County. You can find this out by conducting an anonymous survey of different levels of teacher salaries in Gwinnett County or you can find it from the relevant Gwinnett County government department.
Then, look for records to show the number of teachers in Gwinnett County.
Multiply these two figures and you will then get the approximate the total amount that Gwinnett County needs to pay its teachers.
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Point S is located at -10. Points T and U are each 5 units away from point S. Where are T and U located?
A is the midpoint of segment ST. Point A is located at (7,-1) and point S is located at (5,0). What are the coordinates of point T?
The coordinates of point T is (9,-2)
Given that A is the midpoint of segment ST. midpoint A has coordinates (7,-1) and point S has coordinates ( 5,0 ) and asked to find the coordinates of the point T
Let's assume the coordinates of the point T as(a,b)
Midpoint formula for a line segment having endpoints (x1,y1) and (x2,y2)
Let's assume the midpoint as (X,Y)
(X,Y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])
Here the endpoints of the linesegment ST are S(5,0) and T(a,b) and the midpoint of the linesegment ST is A and has coordinates (7,-1).
⇒(7,-1)=([tex]\frac{5+a}{2}[/tex],[tex]\frac{b}{2}[/tex])
⇒7=[tex]\frac{5+a}{2}[/tex]⇒14=5+a⇒a=9
⇒-1=[tex]\frac{b}{2}[/tex]⇒b=-2
Therefore,The coordinates of point T is (9,-2)
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Determine if there is an outlier in the given data. if yes, please state the value(s) that are considered outliers. 43,44,25,13,47,34,9,53,25,41,9,54,31,6
There is an upper outlier and lower outlier that is 86.875 and -26.875.
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal. Before abnormal observations can be singled out, it is necessary to characterize normal observations.
Descriptive statistics
data=n=14
mean= 30.29
sample standard deviation= 18.35
sample variance = 336.84
minimum= 1
maximum= 52
range= 51
1st quartile
16.25 = median
37.50 = 2nd Quartile.
3rd quartile = 44.50
4th interquartile range = 28.25
mode = 3.00
Lower limit for outlier = Q1-1.5*IQR =16.25-1.5*28.25 =-26.125
Upper limit for outlier = Q3+1.5*IQR =44.50+1.5*28.25 =86.875
All the data points inside the limits.
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What am I doing wrong here? Please help!
Answer:
If there are dotted lines available then use dotted lines for the range where its only greater than or less than, when there is no equals to sign then you use dotted lines
Step-by-step explanation:
[HELP] For j(x) = [tex]5^x^-^3[/tex], find j of the quantity x plus h end quantity minus j of x all over h period
the quantity x minus 3 end quantity times the quantity 5 to the power of h plus 1 end quantity all over h [tex]\frac{(x-3)(5^2+1)}{h}[/tex]
5 to the power of the quantity x minus 3 end quantity times the quantity 5 to the power of h end quantity all over h [tex]\frac{5^x^-^3(h^h)}{h}[/tex]
5 to the power of the quantity x minus 3 end quantity times the quantity 5 to the power of h plus 1 end quantity all over h [tex]\frac{5^x^-^3(5^h+1)}{h}[/tex]
5 to the power of the quantity x minus 3 end quantity times the quantity 5 to the power of h minus 1 end quantity all over h [tex]\frac{5^x^-^3(5^h-1)}{h}[/tex]
The difference quotient of the function that has been presented to us will turn out to be 5.
How can I calculate the quotient of differences?In this step, we wish to determine the difference quotient for the function that was supplied.
To begin, keep in mind that the difference quotient may be calculated by:
Lim h->0 [tex]\frac{f(x+h)-f(x)}{h}[/tex]
Now, for the purpose of the function, we need this:
Then we will have:
[tex]$$\begin{aligned}&\lim _{h \rightarrow 0} \frac{j(x+h)-j(x)}{h} \\&\lim _{h \rightarrow 0} \frac{5 *(x+h)-3-5 * x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 x+5 h-3-5 x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 h}{h}=5\end{aligned}$$[/tex]
j(x) = 5x - 3
Then the following will be true:
Therefore, 5 is the value of the difference quotient for j(x) is %
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Add using the number line. -9 +6 Drag and drop the word Sum to the correct value on the number line. -151413121110-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
If we select -9 in the number line, then we need to add 6. Because 6 is positive, we need to move 6 units to the right of -9, it will give:
-9 + 6 = -3
How to add using a number line?
When we have two values A and B and we want to add them using the number line, the first thing we need to do is select one of these two, and locate it on the number line.
Once we did that, the other number will tell us how many units we need to move to the left (if B is negative) or to the right (if B is positive).
In this case the two numbers are -9 and 6.
If we select -9 in the number line, then we need to add 6. Because 6 is positive, we need to move 6 units to the right of -9, it will give:
-9 + 6 = -3
We will get the exact same thing if we first step on the number 6 on the number line, and then move 9 units to the left, we will got -3.
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Last week, 3/4 of the students in Mr. Zanker's class went on a field trip. 5/8 of the
students in Mr. Haynes's class went. What is the average fraction of students
in the two classes who went on the field trip?
A. 2/3
B. 11/16
C. 15/32
D. 15/16
The average fraction of students in the two classes who went on the field trip is 11/16
What is the average fraction of students in the two classes who went on the field trip?The given parameters are:
Class 1 = 3/4
Class 2 = 5/8
The average is calculated as
Average = 1/2 * (Class 1 + Class 2)
So, we have
Average = 1/2 * (3/4 + 5/8)
Evaluate
Average = 11/16
Hence, the average fraction of students in the two classes who went on the field trip is 11/16
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An 8ft length of 4 inch wide crown molding costs $14. how much will it cost to buy 40ft of crown molding?
It would cost $70 to buy 40 ft of crown molding.
What is cost explain?
Cost is the amount of money spent by a business to produce or create goods or services. It excludes the profit margin markup. Cost is the sum of money spent on making a good or product, as seen from the seller's perspective.8 ft length costs $14
To find the cost of 1 ft length,
Divide through by 8
8ft/8 length costs $14/8
1ft costs $1.75
Now, to find the cost of 40 ft length
1ft costs $1.75
1 ft x 40 would cost $1.75
40 ft would cost $70
Therefore, it would cost $70 to buy 40 ft of crown molding.
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Can someone help me with this please?
since you said please: 127*
FInd the value of b so that x=2 is a solution to the equation below.
b(2x+6)=30
Answer:
b = 3
Step-by-step explanation:
We already know that x = 2, so just plug it back into the equation to solve for the variable b.
[tex]b(2(2)+6)=30[/tex]
[tex]b(4+6)=30[/tex]
[tex]10b=30[/tex]
[tex]b=3[/tex]
We can check this by plugging it back in:
[tex]3(2(2)+6)=30[/tex]
[tex]3(10)=30[/tex]
[tex]30=30[/tex]
This is the correct solution :)
Answer and how to solve this
Answer: Marie ran 4.5 miles on Monday.
Step-by-step explanation: 5.7
+1.2
6.9
The price of a stock steadily decreased by a total of $ 138 over the past13 months. Which expression shows the change in the stock's value?
( dont know this math i'm in 6th grade can anybody help?)
The expression to show the stock's value is -$138 x 13
Given that the price of a stock is steadily decreasing.
Decreasing values are usually represented along with a negative sign.
The decreased price = $138
This means the decrease is of -$138.
Number of months = 13 years
That is $138 is decreased over 13 years.
Then The expression to show the stock's value is -$138 x 13
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help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
1. (2x + 1) (x - 4)
2. (3y +2 ) (y + 1)
3. (w - 3) (3w + 5)
4. (4s - 1) (s + 7)
5. (x + 5) (2x - 3)
Step-by-step explanation:
Lots of good articles on factoring quadratics - that is what this is called.
Answer:
1. (2x + 1) (x - 4)
2. (3y +2 ) (y + 1)
3. (w - 3) (3w + 5)
4. (4s - 1) (s + 7)
5. (x + 5) (2x - 3)
Step-by-step explanation:
Quadrilateral ABCD has vertices A = (2, 5), B = (2, 2), C = (4, 3) and D = (4, 6). Quadrilateral A'B'C'D' is formed when Quadrilateral ABCD is dilated by a scale factor of 2. Which statement is true? Select all that apply
can someone answer this please
Considering that the transformation is a dilation, the correct statement is given by:
The angles of Quadrilateral ABCD and A'B'C'D' are the same.
What are the statements?There are three statements:
None of the answers apply.The side lengths of Quadrilateral ABCD and A'B'C'D' are the same.The angles of Quadrilateral ABCD and A'B'C'D' are the same.What is a dilation?A figure is said to go through a dilation is when it's side lengths are changed, either enlarged or diminished, but the angles remain constant.
For this problem, the scale factor is of 2, meaning that the side lengths are doubled, while the angles remain constant and the correct statement is:
The angles of Quadrilateral ABCD and A'B'C'D' are the same.
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Which statement is true?
*
1 point
. Every rhombus has 4 equal angles.
. Every trapezoid has 2 pairs of opposite parallel sides.
. Every square has 4 equal sides and 4 right angles.
. Every parallelogram has 4 equal sides.
Answer:
every square had four 4 equal sides and 4 right angles
The start of an arithmetic sequence is
16, 19, 22, 25, ...
The rule for the sequence can be written in the
form xn = cn +d, where c and d are
numbers.
a) By first calculating the values of c and d,
work out the rule for the sequence.
b) What is the value of x11?
a) If the [tex]n[/tex]-th term is [tex]x_n = cn+d[/tex], then
[tex]x_1 = c + d = 16[/tex]
[tex]x_2 = 2c + d = 19[/tex]
Eliminating [tex]d[/tex],
[tex](2c+d) - (c+d) = 19-16 \implies c = 3[/tex]
Solving for [tex]d[/tex],
[tex]3 + d = 16 \implies d = 13[/tex]
Then
[tex]\boxed{x_n = 3n + 13}[/tex]
b) When [tex]n=11[/tex], we get
[tex]x_{11} = 3\cdot11 + 13 = \boxed{46}[/tex]
