Answer:
The domain would be given by D = {X ≥ 2} X = [2, Z]. Since the variable Z is the number of children in the school. And the 6 children should not survey the same person, it would be Z / 6 for each interviewer.
Step-by-step explanation:
- If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.
And since the maximum number of students in the school is given by the variable of Z, then Z is the number with which the domain closes.
The rank would be given by the set of [2, Z]
Z / 6 being the maximum number of children surveyed by 1 interviewer.
The Domain of given function is, [tex]x\geq 2[/tex]
The Domain of function is defined as, all input values for which function is defined.
The total number of completed survey is given by a function,
[tex]s(x)=6x[/tex]
Since, If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.
It means value of x is always greater and equal to 2.
So that, [tex]x\geq 2[/tex]
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Write 18% as a fraction
Hi there!
~
[tex]18[/tex]% [tex]= \frac{9}{50}[/tex]
Answer9/50:
Step-by-step explanation:
18/100
18÷2
100÷2
9/50
How can you tell that 7. 630 and 7. 63 are equivalent decimals?
because if you add a zero onto something after the decimal point it doesn't increase or decrease the value of the number.
7.630 is literally just 7.63.
but if it was 76.3 and 760.3 it would be different.
A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix? focus: (0,8); directrix: y = –8 focus: ; directrix: y = focus: (8,0); directrix: x = –8 focus: ; directrix: x =
Answer:
the coordinate of the focus is: (0, 1/2)
the equation of the directrix is: y=-1/2
Step-by-step explanation: The standard equation for a parabola that opens upward- parallel to the y-axis, is: x2=4ay. Meaning, a = distance from the vertex to focus and the vertex is at origin: (0,0).
4a is equal to 2
a is equal to 2/4
a is equal to 1/2 or 0.5
The parabola has
focus: (0,1/2)
directix: y=-1/2
What is the formula for focus and directrix of a parabola?If the parabola is given by
y=a(x-h)²+k
then the focus of the parabola is given by
(h,k+1/4a)
and the directrix of the parabola is given by
y=k-a
How to solve the problem?Given parabola is x²=2y
So, the parabola is y=(1/2)x², when compared with y=a(x-h)²+k we have
a=1/2, h=0 and k=0
So, the focus of the parabola is
[tex](0,\frac{1}{4\frac{1}{2}})= (0,\frac{1}{2})[/tex]
and, the directrix of the parabola is
y= -1/2.
Hence, the parabola has
focus: (0,1/2)
directix: y=-1/2
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Write an equation of the line passing through the points (3,7) and (-1,-13)
Answer:
Step-by-step explanation:
(-13 - 7)/(-1 + 3) = -20/2 = -10
y - 7 = -10(x - 3)
y - 7 = -10x + 30
y = - 10x + 37
If Mikayla rides for 2 hours on a bicycle, what is her rate if she rides for 22 miles?
An elm tree is 3 times as tall as an apple tree. The apple tree is 10 feet tall. How tall is the elm tree?
Answer:
LET ME GUESS hmmmm... OH WAIT 30
Step-by-step explanation:
Answer:
30 ft
Step-by-step explanation:
The elm tree is 3 times as tall as the apple tree.
The elm tree is 3 times as tall as 10 ft.
3 * 10 ft = 30 ft
Define intersecting lines
Answer:
lines that meet at a point
Find the nth term of this quadratic sequence 7,16,25,34,43
Answer:
52
Step-by-step explanation:
everytime it adds by 9:
7+9=16
16+9=25
25+9=34
34+9=43
43+9=52
Evaluate 10bc-b+c, when b = 3 and c= 2.
I need help ASAP!!!!!!!
Evaluate the given expression if x= -3 and y=6.
x+3y / 6+3y
Answer:
5/8
Step-by-step explanation:
The given expression is [tex]\dfrac{x+3y}{6+3y}[/tex]
We need to find of above expression when x = -3 and y = 6
Put x = -3 and y = 6 in given expression such that,
[tex]\dfrac{x+3y}{6+3y}=\dfrac{(-3)+3(6)}{6+3(6)}\\\\=\dfrac{-3+18}{6+18}\\\\=\dfrac{15}{24}\\\\=\dfrac{5}{8}[/tex]
So, the value of given expression is 5/8.
(3 + 5i) + (11 -7i) Write answer in standard form a +bi
Answer:
14-2i
Step-by-step explanation:
[tex]\left(3+5i\right)+\left(11-7i\right)\\\\Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3+11\right)+\left(5-7\right)i\\3+11=14\\5-7=-2\\\\=14-2i[/tex]
You want to share 1000 dollars between you and 5 friends,
Can you share the money evenly
What is the maximum amount that can be shared evenly
What is then the leftover as a fraction
Answer:
the answer is 200
Step-by-step explanation:it's because
you have to divide 1000 in to 5 and 1000 divided by 5 is 200
what is the answer to 1.58x1.78=
What percent of 150 is 900
Answer:
600 %
Step-by-step explanation:
x · 150 ÷ 100 = 900
150x = 90000
x = 600
Simplify the expression: 42x3y6 6xy6 A) 7x2y12 B) 7x2y C) 36x2y12 D) 7x2
Answer:
D
Step-by-step explanation:
So first you simplify
Step 1: (2•3•7x3y6) (2•3xy6)
Step 2: you divide x3 by x1 = x (3-1) = x2
step 3: You cancel out y6 as it appears on both sides of the fraction line.
step 4: cancel out 2 as it appears on both sides.
step 5: cancel out 3 as it appears on both sides.
step 6: final result 7x2
The mean absolute deviation is best described as:
The value obtained when averaging the distances between each data point in the data set and the mean.
The value obtained when you add all the values in the data set and divide by the number of values.
The difference between the means of two similar data sets.
An approximation of the center of a data set.
Answer: It’s the second one
Step-by-step explanation:
Rewrite as a logarithmic equation.
*=8
Answer:
yes in the steps
Step-by-step explanation:
conclusive
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.
Point (9,−11); Slope=−8
Answer:
Step-by-step explanation:
y + 11 = -8(x - 9)
y + 11 = -8x + 72
y = -8x + 61
The equation of the line in slope-intercept form having the given point and slope is: y = -8x + 61.
How to Find the Equation of a Line in Slope-intercept Form?Slope-intercept formis expressed as y = mx + b.
Given the following:
A point = (9, -11) = (a, b)
Slope = -8 = m
Substitute m = -8 and (a, b) = (9, - 11) into y - b = m(x - a)
y - (-11) = -8(x - 9)
Rewrite in slope-intercept form
y + 11 = -8x + 72
y = -8x + 72 - 11
y = -8x + 61
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1 point
#11: At MVP Fitness, the enrollment fee is $95 and it costs $40 per month.
At the Body Factory, the enrollment fee is only $25, but it costs $50 per
month. Write and solve an equation to find the number of months at which
the total cost charged by the two companies would be the same.
Your answer
A train leaves Philadelphia at 3:00 PM. A second train leaves the same city in the same direction at 9:00 PM. The second train travels 120mph faster than the first. If the second train overtakes the first at 11:00 PM, what is the speed of each of the two trains?
Answer:
Step-by-step explanation:
2nd train DATA:
time = 2 hrs ; rate = x + 120 mph ; distance = 2(x+120) = 2x+240 miles
------
1st train DATA:
time = 8 hrs ; rate ; x mph ; distance = 8x miles
------------------
Equation:
distance = distance
8x = 2x+240
6x = 240
x = 40 mph (speed of the 1st train)
x+120 = 160 mph (speed of the 2nd train)
my regards #3Ss
Using the slope formula, find the slope of the line through the given points.
(2,6) and (6,2)
Answer:
m=(y2-y1)/(x2-x1)
=(2-6)/(6-2)
=-4/4
=-1
Step-by-step explanation:
Which planet is an inner planet, and which one is an outer planet? Explain your answer.
The correct answers are Planet A 16 hours - Inner planet and planet B 1,408 hours - Outer planet.
What is a planet?Large, circular celestial objects that are neither stars nor their remnants are known as planets. The inner planets are the ones that are much closer to the sun, thus they have much smaller orbits around it and it takes them much less time to circle around it. Also, these planets are much smaller, which enables them to spin around their axis much quicker too, so one day passes much quicker.
The outer planets are the total opposite. They are much further from the sun, so for them to be able to make a single circle around the sun it takes much more time, and also because they are much bigger, it takes them much more time to spin around their own axis, thus making one day much longer than the days of the inner planets.
The complete question is given below as:-
Which planet is an inner planet, and which one is an outer planet? Explain your answer. Planet A 16 hours planet B 1,408 hours
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A toy company uses the linear model y=-2x+380 to predict the decline in sales of a toy after it has been on the market more than one year. If x is the number of months after the first year and y is the number of toys sold in hundreds during that month how many toys will be sold 11 months after the first year
Answer:
358 toys sold 11 months after the first year.
Step-by-step explanation:
y = - 2x + 380
x is number of months after release in this case x = 11
y is number of toy sold in the hundreds.
y = - 2 ( 11 ) + 380
y = - 22 + 380
y = 358
Number of toys sold 11 months after the first year = 358
What is linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
Given,
Linear equation
y = - 2x + 380
x is number of months after release
y is number of toy sold in the hundreds.
No. of months, x = 11
Putting value of x in above equation
y = - 2 ( 11 ) + 380
y = - 22 + 380
y = 358
Hence, 358 toys sold 11 months after the first year.
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Business: Discount Pricing A store sells refurbished
iPhones that cost 12% less than the original price. If the new price of a refurbished iPhone is $572, what was the original price? How much is saved by purchasing the refurbished
The original price of the iPhone will be $650 thus the buyer saved $78 by buying the refurbished mobile.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Let's say the original price of the mobile is x.
12% of x is 0.12x
The cost of refurbished mobile will be as x - 0.12x = 0.88x
0.88x = 572
x = $650
The amount saved = $650 - $572 = $78
Hence "The original price of the iPhone will be $650 thus the buyer saved $78 by buying the refurbished mobile".
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The temperature is _____ °C
Answer:
25 0r 26 F
Step-by-step explanation:
around .5 - 1 C
Find the counterexample to show that the statement is incorrect. The difference of any two counting numbers will be a counting number Choose the correct answer below. A. 3-5= -2, which is not a counting number. B. 7-4 = 3, which is not a counting number. C. 10-2 = 8, which is counting number D. There is no counterexample. The statement is correct.
Answer:
A. 3-5= -2, which is not a counting number.
Step-by-step explanation:
Counting numbers are non negative numbers greater than 1 up to infinity. Counting numbers are also called natural numbers, and they do not include the negative numbers.
The statement states that "The difference of any two counting numbers will be a counting number"
From option A we can disprove that, since we can see that not all the difference between two counting numbers gives a counting number.
3 is a counting number
5 is a counting number
The difference between 3 and 5 gives -3, which is not a counting number.
This is a counterexample to the statement above.
Suppose R is the solid bounded by the plane z=5x, the surface z=x2, and the planes y=0 and y=3. Write an iterated integral in the form below to find the volume of the solid R.
I have attached the complete question.
Answer:
See 2nd attachment
Step-by-step explanation:
We are told that R is the solid bounded by the plane z = 5x, the surface z = x², and the planes y = 0 and y = 3.
Thus, the region in the xz plane would be defined as;
0 ≤ x ≤ 3 and x² ≤ z ≤ 5x
For the iterated integral for the volume of the solid R, see 2nd attachment.
2 ( x - 6 ) = 3 ( x + 9 )
Steps to solve:
2(x - 6) = 3(x + 9)
~Distribute both sides
2x - 12 = 3x + 27
~Add 12 to both sides
2x = 3x + 39
~Subtract 3x to both sides
-x = 39
~Divide both sides by -1
x = -39
Best of Luck!
Answer:
2×-12=3×+27
2×-3×=27+12
-×=39
Step-by-step explanation:
Grouping like terms
then simplify to get x
42 is 64% of what number
Answer:
the answer is 65.625, 42 is 64% of 65.625
What is the image of (-5, -8) after a reflection over the y-axis?
Answer:
[tex](5,-8)[/tex]
Step-by-step explanation:
The rule for a reflection over the y-axis is
[tex](x,y) -> (-x,y)[/tex]
In this situation, we have to change the sign of x.
[tex](-5,-8) -> (5,-8)[/tex]