Answer:
range
Step-by-step explanation:
Select all statements that are true about a linear relationship that is also a propotional relationship
A) The graph passes through the origin
B) The graph does not pass through the origin
C) The constant of proportionality can be found using run/rise
D) The slope is the same as the constant os proportionality
D) The slope is the same as the unit rate
For all proportional relationships, the true statements are:
A, D, and E.
Which statements are true about a proportional relationship?
A proportional relationship between two variables x and y is written as:
y = k*x
Now let's analyze each of the given statements:
A) The origin is the point (0, 0).
If you evaluate the general equation in x = 0 you get:
y = k*0 = 0
So yes, this equation passes through the point (0, 0).
B) This is false, as we saw above.
C) The formula for the constant of proportionality is:
y = k*x
y/x = k
So we can see that k = rise/run
the statement is false.
D) Yes, this is true, a general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept, particularly if the y-intercept is zero, then we have a proportional relation.
E) Yes, slope, unit rate, constant of proportionality, are all equivalent terms for a proportional relation.
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adam and ben each have a fair coin. adam throws it 101 times, and ben throws it 100 times. what is the probability that adam gets strictly more heads than ben?
There is a change of 1/2 for Adam to get strictly more heads than Ben.
What is meant by the term probability?Probability originally referred to potential. A random event's occurrence is the subject of this field of mathematics. The range of the value is 0 to 1. Mathematics has employed probability to foresee the frequency of various events.The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)
If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.
Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.
Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.
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The sum of five times a number and three is between -7 and 23.
The number of the given statement will be inequality -2 < x < 4.
We have been given the statement "the sum of five times a number and three is between -7 and 23".
Let the number would be x
As per the given statement, we can represent this algebraic form with inequality as:
⇒ -7 < 5x + 3 < 23
Subtract 3 on both sides of the above inequality
⇒ -7 - 3 < 5x < 23 - 3
⇒ -10 < 5x < 20
Divided by 5 into both sides of the above inequality
⇒ -2 < x < 4
Thus, the number of the given statement will be inequality -2 < x < 4.
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The question seems to be incomplete the correct question would be
Find the number if the sum of five times a number and three is between -7 and 23.
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The value of function is positive so the function have maximum value at x=3.
In the given question we have to find the maximum or the minimum value of a function.
The given function is
f(x) = -3x^2+18x+3
To find the maximum or minimum value we firstly find the value of f'(x).
f'(x) = -6x+18
Now put f'(x)=0
-6x+18=0
Subtract 18 on both side we get
-6x=-18
Divide by -6 on both side we get
x = 3
Now finding the value of function at x=3
f(3)= -3*(3)^2+18*3+3
f(3)= -3*9+54+3
f(3)= -27+54+3
f(3)= 30
Since the value of function is positive so the function have maximum value at x=3.
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Why are the tops of mountains round and the soil often rough, rocky, and thin in many places in the Northeast?
The early settlers abused and overused the land.
Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.
The Indian population purposely destroyed the countryside when they discovered the white settlers would not leave.
During the past three centuries, the urban dwellers in the area have appropriated the fine soil for the cities. what is 4+2
Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.
Given,
In the question:
Why are the tops of mountains round and the soil often rough, rocky, and thin in many places in the Northeast?
Now, According to the question:
The correct answer is:
Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.
Other question is
4 + 2
By addition:
4 + 2 = 6
Hence, Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.
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Answer:
Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.Step-by-step explanation:
neeed helppp pleaseeeeee
70 points need help asap
The angle ∠C is 130° by the alternative angles.
Given that,
In the figure we have a diagram.
We have to find the angle c.
The angles created on the opposing side of the transversal with regard to both straight lines when two straight lines are cut by it are referred to as alternative angles. Therefore, the angles that are on the opposing sides of the transversal and have distinct vertices are those.
We know that,
By alternative angles
∠M=∠C
So,
130°=∠C
Therefore, The angle ∠C is 130° by the alternative angles.
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what is the value of X
-9(x+6)=-207
Answer:
x=17
It just is. I don't know how to explain it.
the ratio of 15 and square of m? This question is on Get More Math
The ratio of 15 and square of m is 15/m².
What is a ratio?A ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities. This ultimately implies that, a ratio can be expressed as a quotient.
What is quotient?In Mathematics, quotient can be defined as a mathematical expression that is simply used to represent the division of a numerical value by another numerical value or variable.
In this scenario, the numerical value 15 would be the numerator while the variable m would be the denominator, and it should be expressed as follows:
Ratio = 15/m²
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The football team played 10 games and won 7 games. What was its winning percentage?
Answer: 70%
Step-by-step explanation:
Percentage is always out of 100. And 10x10 =100 so you do the same to 7 multiply it by ten then your answer is 70 which is 70%.
Omar was out at a restaurant for dinner when the bill came. He wanted to leave a tip
of 34%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
Note: A percentage is always a number over 100. (34% = [tex]\frac{34}{100}[/tex])
Cost of meal = 100%
Cost of tip = 34%
Total = 134%
134% = [tex]\frac{134}{100}[/tex]
To find the total and the tip, you must multiply it by [tex]\frac{134}{100}[/tex]
Answer:
Bill times the 0.34 percent equals the price of the tip. After you find what the tip is, you add the base price (the bill price) to the tip and you get the total number paid. However, another way you can solve (in one step) this is by adding 1.00 to the percent you are multiplying by which in this case we add 0.34 by 1.00 and this gives us 1.34. Suppose we set the bill to 4 dollars and use the normal way (2-step equation) by doing 3(0.34) which is 1.02 and 1.02 + 3 = 4.02 as our final answer / final bill. However, when we do our one-step equation, we can write this as 3x(1.34) and this is equal to 4.02.
1st Step
Bill(0.34) = tip
tip + bill = total
2nd Step (one-step equation)
Note: we are going to set the bill in this equation as $4
4(1.34) = total; Total = 4.02 ← We added 1.00 to the tip percentage in decimal form.
Cayaln is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 25 minutes, the muffins bake for 12minutes, and the cookie bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item.
How many minutes after Cayaln puts the trays in the oven will he first remove the scones, muffins, and cookie at the same time?
The number of minutes after Cayaln puts the trays in the oven will he first remove the scones, muffins, and cookie at the same time is 300 minutes
What is the number of minutes Cayal removes the scones, muffins, and cookie at the same time?Scones = 25 minutesMuffins = 12 minutesCookie = 10 minutesFind the least common multiple of 25, 12 and 10 minutes
25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 30012 = 12, 24, 36, 48, 60, 72, 84, 96, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 30010 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300The least common multiple of of 25, 12 and 10 minutes is 300 minutes.
Therefore, the number of minutes Cayal removes the scones, muffins, and cookie at the same time is 300 minutes
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hello cn someone help please
The size of angle x is 54 degrees.
Let O be the complete angle,
<O = 360
Angle between diagonals = 360/5 = 72 degrees.
All diagonals of regular pentagon are equal and their opposite angles are equal .
With angle center O it forms a triangle:
sum of angles = 180
x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
divide by 2 on both sides
2x/2 = 108/2
x = 108/2
x = 54 degrees.
Therefore the size of angle x is 54 degrees.
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Two trains are 525 miles apart heading toward each other on parallel tracks. Train A is traveling east at 30 miles per hour, while Train B travels west at 45 miles per hour. When will the trains pass each other?
The two trains will pass each other after 7 hours.
Both trains need to cover a distance of 525 miles before they cross each other.
We know, d = s × t
where d ⇒ total distance travelled
s ⇒ speed of the train
t ⇒ time taken for both trains to meet
For train A,
s = 30 miles per hour
Distance covered by train A in t hours = 30 × t
For train B,
s = 45 miles per hour
Distance covered by train B in t hours = 45 × t
As the total distance is 525 miles,
30t + 45t = 525
75t = 525
t = 7 hours
Hence, the trains will pass each other after 7 hours.
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The maximum area is 640,000.
Given fencing yards = 3200
let the length be x and the width be y
The parameter of the rectangle is given as;
2(L + B),that is
2(x + y) = 3200
x + y = 1600
y = 1600-x
let the area of the rectangle be A, then
A = x y
A = x(1600-x)
A = 1600x - x^2
finding the maximum derivative of A with respect of x
da/dx = 1600 - 2x
set da/dx to zero,
1600 - 2x = 0
1600 = 2x
x = 1600/2
x =800
substitute the value of x = 800 in to y
y = 1600 - 800
y = 800
The maximum area is 800 x 800
Therefore Maximum area = 640,000.
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Alanton is 16 miles from Oakley, 8 miles from Crawford, and 28 miles from Fayeville. How far is Alanton from Bishop?
Two similar triangles have,
The ratio of two sides of one triangle = Ratio of two sides of the other triangle
The distance between Alanton and Bishop is 14 miles.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
Alanton:
16 miles from Oakley.
8 miles from Crawford.
28 miles from Fayeville
We can have two similar triangles as shown below.
Two similar triangles have,
The ratio of two sides of one triangle = Ratio of two sides of the other triangle
AB / AC = DE/ DF
8 / 16 = x / 28
1/2 = x/28
x = 28/2
x = 14
Thus,
The distance between Alanton and Bishop is 14 miles.
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1. Solve the system by substitution.
y=x²-2x+1
y = 2x+1
On solving the system of equations by substitution method , the solution is x = 0 , y = 1 and x = 4 , y = 9 .
In the question ,
it is given that
the system of equation is
y = x² - 2x + 1
y = 2x + 1
by using substitution method ,
Substituting y = 2x + 1 in y = x² - 2x + 1
we get
2x [tex]+[/tex] 1 [tex]=[/tex] x² - 2x [tex]+[/tex] 1
x² - 2x [tex]+[/tex] 1 - 2x - 1 [tex]=[/tex] 0
x² - 4x = 0
x(x-4) = 0
So , x=0 or x = 4
for x=0 , y = 2x+1 = 1
for x = 4, y = 2(4) + 1 = 9
Therefore, the solution for the system of equations is x=0 , y=1 and x=4 , y=9 .
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write the equation for the line through (4,3) with a slope of -1/2 in slope intercept form
f(x)=x+a/x+b such that f(f(1))=0 and f(2)=-3 then the values of a and b respectively
The values of a and b are 8 and - 9.
Given that:
f(x) = x + a/x + b ........ (1)
f(1) = 0, f(2) = - 3
Putting the value of x = 1 in equation (1). We get,
f(1) = 1 + a/1 + b
f(1) = 1 + a + b ....... (2)
Putting the value of x = 2 in equation (1). We get,
f(2) = 2 + a/2 + b
f(2) = (4 + a + 2b)/2 ........ (3)
Putting the value of f(1) = 0 in equation (2). We get,
a + b = - 1 ......... (4)
Putting the value of f(2) = -3 in equation (3). We get,
=> -3 = (4 + a + 2b)/2
=> -6 = (4 + a + 2b)
=> a + 2b = - 10 ......... (5)
To find the value of a and b we have to solve equations (4) and (5) by elimination method.
So, for that subtract equation (4) from (5).
We got the value of b = - 9.
Then put the value of b in equation (4).
We got the value of a = 8.
Checking the value of a and b satisfies the value of the function's output and input.
Hence, the values of a and b are 8 and - 9 respectively.
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if ratings on a measure of creativity contain nothing but random error, what would the reliability of that measure be?
50 would be the reliability of that measure by standard error.
What is the standard deviation?
The population mean and sample mean are likely to deviate from one another, and the standard error of the mean, or simply standard error, shows how likely this is. If a study were to be repeated using fresh samples drawn from a single population, it would be possible to calculate how much the sample mean would change.A measure that has no random error and no true score (i.e., is only random error) has zero reliability. A measure that has random error.
50 would be the reliability of that measure .
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Graph the line that satisfies each condition.
11. slope = 3, passes through A(0,1)
12. slope = - 3 − 2 , passes through R(-4, 5)
13. passes through Y(3, 0), parallel to DJ
14. passes through T(0, -2), perpendicular with D(-3, 1) and J(3, 3) to CX with C(0, 3) and X(2, -1)
The graph of line 3x-y= -1 will be as follows.
What is a line?
A line is an endlessly long, straight object that, despite being drawn with a minimum width, is considered to have no particular width in mathematics.
Main Body:
slope = m = 3 point = (0,1)
The formula for one point form for a line is -
y-y₁ = m(x-x₁)
y- 1 = 3(x-0)
3x-y =-1
Now the graph for the line will be plotted by using the point given and the slope--
on Graph mark the point (0,1)
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The greatest number of bags Caesar can make is 16 bags. Each of these bags will have 5 boxes of pasta and 8 jars of sauce.
If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.He could use 8 bags but this is not the greatest number he could use.What is the number of pasta and sauce in each bag?Boxes of pasta = 32Jars of sauce = 48Find the greatest common factor of 32 and 48
32 = 1, 2, 4, 8, 16, 3248 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.The greatest common factor of 32 and 48 is 16
So, the greatest number of bags Caesar can make is 16 bags
Number of pasta in each bag = 32/16
= 5 boxes of pasta per bag
Number of sauce in each bag = 48/16
= 8 jars of sauce per bag
If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.
He could use 8 bags but this is not the greatest number he could use.
Therefore, Caesar can use the greatest common factor to determine the highest number of bags he could use.
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A movie store had four hundred ninety-five movies they were putting on six shelves. If the owner wanted to make sure each shelf
had the same number of movies how many more movies would he need?
He may keep 82 movies on each shelf, using up to 492 movies and leaving 3 movies to retain.
What is arithmetic operation?Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. Arithmetic operators carry out operations on numbers. Variables are assigned values using assignment operators. Logical operators compare two values and return either "true" or "false" depending on whether the comparison is true (or false).
Here,
Movies that movie store has=495 movies
Number of shelves=6
If the owner wanted to make sure each shelf had the same number of movies,
=495/6
=82.5
He can keep 82 movies in each shelf that will use up to 492 movies and 3 movies will be left to keep.
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3.once we moved from the 5-kingdom scheme to the 3-domain scheme, which two kingdom names were completely eliminated?
The three domains are the Archaea, the Bacteria, and the Eukary.
What is 5 kingdom scheme?R.H. Whittaker proposed the five kingdom division in 1969. Based on traits including cell structure, manner of nutrition, source of nutrition, and body organization, the five kingdoms were created. The Kingdoms Monera, Protista, Fungi, Plantae, and Animalia are all included in it. Depending on factors like cell structure, mode of nutrition, mode of reproduction, and body organization, living things are categorized into five different kingdoms: Protista, Fungi, Plantae, Animalia, and Monera.The conclusions have since become accepted, leading to replacement of the kingdom Monera with the two domains Bacteria and Archaea.learn more about kingdom scheme click here:
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This square based pyramid
30 cm
is cut horizontally at a height of 15 cm
to leave this frustum
R
15 cm
10 cm
1 xarea of base x perpendicular height
Vol = x
10 cm
Calculate the volume of the frustum.
Answer:
875 cm³
Step-by-step explanation:
You want the volume of the 15 cm high frustum of a 30 cm high pyramid with a 10 cm square base.
Pyramid volumeThe volume of a pyramid is given by the formula ...
V = 1/3Bh
Where B is the area of the base:
B = s²
For the given pyramid, the volume is ...
V = 1/3(10 cm)²(30 cm) = 1000 cm³
Frustum volumeThe volume of the frustum is the volume of the whole pyramid, less the volume of the part that is cut off. The part that is cut off has dimensions that are 1/2 of those of the whole pyramid, so its volume is ...
V = (1/2)³ × (1000 cm³) = 125 cm³
Then the volume of the remaining frustum is ...
1000 cm³ -125 cm³ = 875 cm³
The volume of the frustum is 875 cm³.
__
Additional comment
The volume can also be calculated from the areas of the two bases of the frustum and its height.
V = (1/3)(B₁ +B₂ +√(B₁B₂))h
The top base is 5 cm square, so this evaluates to ...
V = (1/3)(100 cm² +25 cm² +√(100·25) cm²)(15 cm) = 1/3(175 cm²)(15 cm)
V = 875 cm³
a true false wquiz has five questions. what is the probability that when guesisng a student will get at least one correct
The probability of getting at least one question right is 96.875%.
The question states that at least one guess should be right. This ultimately means that all guesses cannot be wrong, which is the only possibility being excluded here.
Probability for wrong guess =12=0.5
Probability for all wrong guesses =0.5*0.5*0.5*0.5*0.5=0.03125 or 3.125%
There is only 3.125% chance of all wrong guesses. Rest of the possibilities are our favorable conditions, i.e. at least one correct guess.
Therefore,
Probability of at least one correct guess=1-0.03125=0.96875 or 96.875%
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+240x+115
Check the picture below.
so the rocket will hit the ground when y = 0, so hmmm, there's no simple factoring that'd give us integers, so we'll plug the quadratic into the quadratic formula
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+240}x\stackrel{\stackrel{c}{\downarrow }}{+115} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (240) \pm \sqrt { (240)^2 -4(-16)(115)}}{2(-16)} \implies x = \cfrac{ -240 \pm \sqrt { 57600 +7360}}{ -32 }[/tex]
[tex]x= \cfrac{ -240 \pm \sqrt { 64960 }}{ -32 }\implies x=\cfrac{ -240 \pm 8\sqrt { 1015 }}{ -32 }\implies x=\cfrac{ 240 \mp 8\sqrt { 1015 }}{ 32 } \\\\\\ x=\cfrac{ 30 \mp \sqrt { 1015 }}{ 4 }\implies x\approx \begin{cases} -0.46\\\\ 15.46 ~~ \textit{\large \checkmark} \end{cases}[/tex]
now, let's notice, "x" cannot be negative, so the negative value is tossed.
the product of two numbers is 432.if GCF of the numbers is 12 then the greater number is ?
.i need the steps the answer is 36, Please help
The greater factor of 432, if 12 is the greatest common factor between the two factors is 36
What is greatest common factor?The Greatest Common Factor is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.
The factors of 432 are 36,12, 24 ,18,4,108
But the two factors of 432 that has a multiple of 12 is 12 and 36
12× 36 = 432
The factors of 12 = 1,2,3,4,6,12
The factors of 36 = 1,2,3,4,6,9,12,18,36
the common factors are ; 1,2,3,4,6 and 12
therefore the greatest common factor = 12
since the GCF between 12 and 36 is 12, the second number will be 36
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Using the quadratic formula to solve 11x2 - 4x = 1, what are the values of x?
√15
11
ㅇ
0
ㅇ
77+2√15
11
11
Answer:
x=2/11 + (1/11) (√15) or 2/11 - (1/11) (√15)
Step-by-step explanation:
Plug it into the quadratic formula
The values of x are 9/11 and -5/11.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To use the quadratic formula to solve 11x² - 4x = 1.
We first need to rewrite the equation in the form ax² + bx + c = 0.
So,
11x² - 4x - 1 = 0
Now,
We can use the quadratic formula, which states that the solutions for the equation ax² + bx + c = 0.
x = (-b ± √(b² - 4ac)) / 2a
Now,
In our case,
a = 11, b = -4, and c = -1.
Substituting these values into the formula, we get:
x = (-(-4) ± √((-4)² - 4(11)(-1))) / 2(11)
x = (4 ± √(196)) / 22
x = (4 ± 14) / 22
So,
The solutions for the equation 11x² - 4x = 1
x = (4 + 14) / 22 = 9/11
x = (4 - 14) / 22 = -5/11
Therefore,
The values of x are 9/11 and -5/11.
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Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya’s favorite book?
How far away do you live from your school?
Based on the information illustrated, the analysis implies the following:
a. nonstatistical.
b. statistical.
c. nonstatistical
d. statistical
What is a statistical question?A statistical question is one that can be answered by collecting varying amounts of data. A statistical question is one that does not have a single answer. Instead, you should expect a range of responses.
Identifying a statistical question necessitates knowledge of statistics. Statistics is a mathematical study that involves the collection, analysis, and interpretation of changing data. A statistical question will ask a question with a variable answer; data must be collected and analyzed, and the answer will provide an explanation of the information.
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statistical or nonstatistical What's the difference? is that statistical is of or pertaining to statistics while nonstatistical is not statistical.
Statistical sampling is more objective and uses probability to determine the appropriate sample size. While it is does not eliminate sampling risk, statistical sampling allows the auditor to measure sampling risk and take steps to control it. Nonstatistical sampling relies more on the auditor's judgment.
Thus, the correct answer is nonstatistical statistical nonstatistical statistical