83. Which statement must be true if x is a whole number greater than 1?
HELP, find the domain.
the domain of the graphed function is D: [-5, 3]
How to identify the domain of the function?
For a function f(x), we define the domain as the set of the inputs of the function.
So, to identify the domain, we need to look a the horizontal axis.
Doing that, we can see that the first value in the horizontal axis is x = -5, and the last value is x = 3.
Notice that in both cases we have solid dots, which means that these values do belong to the domain.
Then the domain of the graphed function is D: [-5, 3]
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Mr. Sid spends 2 5 of his salary on food and 3 10 of the remaining on house rent and electricity. If he keeps the remaining part of his salary as savings, what fraction of his salary does he save?
The fraction of his salary he does save is 3/10, on the basis that Mr. Sid spends 2/5 of his salary on food and 3 10 of the remaining on house rent
What fraction of total salary is saved?
The fraction of the salary saved means the proportion of total salary that is neither spent on food nor on house rent, it can determined as the total salary minus the fractions spent on food and house rent respectively
If assume that the total salary is 1, when deducting 2/5 and 3/10 from 1 we can determine the part that is saved
savings=1-(2/5)-(3/10)
if lcm is 50, we would have the below
savings=(50-20-15)/50
savings=15/50
savings=3/10
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suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordinate system to the point where the water stream emerges from the fountain, a measurement shows that the maximum height of the stream occurs at the point (6, 5). use symmetry to identify a third point and find a quadratic regression equation for the stream of water.a.y
Quadratic equation for stream of water; (x-6)² = -36/5(y-5)
Using symmetry;
if (0,0) is taken as origin and maximum height is reached by stream at (6,5); the stream will strike the ground at (12,0);
Equation of a parabola whose mouth is open toward negative y- axis;
x² = -4ay
Parabola vertex shifted from (0,0) to (6,5);
(x-6)² = -4a(y-5);
Put x = 0, y = 0, as it lies on parabola;
36 = -4a(-5);
36 = 20a;
a = 36/20;
Quadratic equation for stream of water; (x-6)² = -36/5(y-5);
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(1/a)+(1/b)-(1/c)=4 for c
The value of the c is obtained as; c = ac/(b + a - 4ab).
What is defined as the equation?A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a statement that demonstrates that two formulas are equal.
3x + 5 = 24, for example, is an equation in which 3x + 5 and 24 are two declarations kept separate by a 'equal' sign. In mathematics, the most basic as well as simple algebraic formulas consist of one or more variables.A linear equation can have multiple variables. A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it.Now, for the given equation in three variables;
(1/a)+(1/b)-(1/c) = 4
Bring the quantity to be find on one side and others on the other side.
1/a + 1/b - 4 = 1/c
Taking LCM on the left hand side.
(b + a - 4ab)/ab = 1/c
Taking the reciprocal on the both side.
c = ac / (b + a - 4ab)
Thus, the solution of the given equation in the terms of the c is;
c = ac / (b + a - 4ab).
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Alva has 4 packs of pencils. There are 15 pencils in each pack. She wants to put an equal number of pencils into 6 pencil pouches. Which expression would show how many pencils can go in each pencil pouch?
4÷15×6
(15×4)÷6
(15÷4)×6
4×15×6
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line is: 1.
How to Find the Slope of a Line?Slope of a line (m) = rise of the line / run of the line.
Given the line in the diagram, the image attached below shows the run of the line, which is the blue line, and the rise of the line, which is the red line.
Rise of the line = 2 units
Run of the line = 2 units
Slope of the line = 2/2
Slope of the line = 1
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how many area codes (abc) would be possible if all three digits could be any value 1-9? question 5 options: 27 30 729 1,000
Answer:729
Step-by-step explanation:someone else said it
Julie is making a punch for her birthday party. First, she pours a 2-liter bottle of ginger ale into her punch bowl. Then, she adds two 750-milliliter bottles of grape juice. How many liters of punch does Julie make in all?
Julie will make 3.5 litres of punch
How to calculate the amount of litres ?Julie is making a punch for her birthday
She first pours 2 litres if ginger ale
She then adds 750 millilitres of grape juice
Convert 750 millilitres to litres
750/1000
= 0.75 × 2
= 1.5
Total number of litres= 1.5 + 2
= 3.5 litres
Hence Julie makes 3.5 litres of punch
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how's ur day going? Also any tips on geometry?
What is the (square root of A)*(cube root of A)
Step-by-step explanation:
[tex] = \sqrt{a} \times \sqrt[3]{a} \\ = {a}^{ \frac{1}{2} } \times {a}^{ \frac{1}{3} } \\ = {a}^{ \frac{1}{3} + \frac{1}{2} } \\ = {a}^{ \frac{5}{6} } [/tex]
I CONVERTED THE TERMS TO BE IN A POWER FORM TO SOLVE THIS EASILY
AND USED THE LAW OF EXPONENT..MULTIPLYING POWERS OF THE SAME BASE WE KEEP ONE BASE AND ADD THE EXPONENTS.
question add 113 (−56) using the number line. select the location on the number line to plot the sum.
The addition of 113 and -56 using the number line gives the answer as 57.
the two numbers to be introduced are 113 and -56.A fine variety indicates we have to move within the proper course at the range line. A negative variety suggests we have to pass within the left course at the wide variety line. We continually begin from the neutral cost, i.e., zero.We circulate 113 unit steps closer to the right of zero and mark that point.We now need to move fifty six unit steps towards the left of the ultimate marked factor, i.e., from 113 to mark it as our final result of addition.in this way, we can upload any two numbers the usage of the variety line.To learn more about the number line, visit :
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<7 is a supplement of <8, and m<7 =109 . find m<8
given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?
Value of cos(x+π) = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]
Given cosine of x = [tex]-\frac{\sqrt{3} }{2}[/tex]
i.e., cos(x) = [tex]-\frac{\sqrt{3} }{2}[/tex]
Also cos([tex]\frac{\pi}{6}[/tex]) = [tex]\frac{\sqrt{3} }{2}[/tex]. So x = [tex]\frac{\pi}{6}[/tex].
We need to find cos(x+π) = cos([tex]\frac{7\pi}{6}[/tex]).
But its value is not easy to find. So we use trigonometric formulas.
We have the trigonometric formula, cos (x+π) = - cos(x) = - [tex]-\frac{\sqrt{3} }{2}[/tex] = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]
Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).
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Two circles C₁ and C₂ have their centres at the point (3,4) and touch a third circle, C3.
The centre of C3 is at the point (0,0) and its radius is 2.
What is the sum of the radii of the two circles C₁ and C₂?
The sum of the radii of the two circles C₁ and C₂ is 4 units
Given data
Two circles C₁ and C₂ have their centres at the point (3,4)
The centre of C3 is at the point (0,0) and its radius is 2
And C1 and C2 is touching C3
How to find the sum of the radii of the two circles C₁ and C₂Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r
The distance, d from the origin using point x and y given is solved for as follows:
d^2 = x^2 + y^2
d^2 = 3^2 + 4^2
d^2 = 9 + 16
d^2 = 25
d = √25
d = 5
Radius if the two circles is 5 - 3 = 2
One of the radius is 2 hence sum of the two radii
= 2 + 2
= 4 units
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Jason uses 3 1/2 cups of uncooked pasta to make a pot of macaroni and cheese. if he has 18 1/2 cups of pasta, how many pots of macaroni and cheese can jason make?
He can make 5 pots of macaroni and cheese.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Jason uses 3 1/2 cups of uncooked pasta.
He has= 18 1/2 cup of pasta
So, the numbers pots he can make
=18 1/2 ÷ 3 1/2
=37/2 ÷ 7/2
=37/2*2/7
=37/7
=5.28
= 5 pots
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Joel is training for a marathon. He records the number of miles that he ran each day for a week. In two weeks he plans on increasing the distance he runs on Monday and Tuesday by 1 mile, and the amount he runs on Friday, Saturday and Sunday by 2 miles. How will this affect the MEAN number of miles he runs in a week?
The mean will increase by 1.6 miles.
How to calculate the mean?It should be noted that from the information, in two weeks he plans on increasing the distance he runs on Monday and Tuesday by 1 mile, and the amount he runs on Friday, Saturday and Sunday by 2 miles.
The mean will be:
= (1 × 2) + (2 ×3) / 5
= (2 + 6)/5
= 8/5
= 1.6
The mean will increase by 1.6 miles.
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3(k + 5) = -2(3k - 6)
Answer:
k = -1/3
Step-by-step explanation:
1. Simplify by distributing
3k + 15 = -6k + 12
Move -6 onto the left side by adding 6k onto both sides =
9k + 15 = 12
Now subtract 15 on both sides=
9k = -3
Now divide both sides by 9=
k = -1/3
Answer:
k=-1/3
Step-by-step explanation:
3k+15=-6k+12
15-12=-6k-3k
3=-9k
k=-1/3
permutation p-values should never be zero: calculating exact p-values when permutations are randomly drawn
Permutation P-values should never be zero: calculating exact P-values when permutations are randomly drawn
This is a research paper whose authors are Belinda Phipson , Gordon K Smyth,
Abstract:
Permutation tests are among the most extensively used statistical procedures in current genomic research, and they include randomly permuting the sample or gene labels to assign p-values to test statistics. However, permutation p-values reported in the genomic literature are frequently estimated improperly, understating the number of permutations by roughly 1/m. When Monte Carlo simulation is used to assign p-values, the same thing frequently happens. Although the p-value understatement is generally small in absolute terms, the repercussions in a multiple testing situation might be severe.The underestimation stems from the intuitive but incorrect notion of using permutation to estimate the tail probability of the test statistic. Instead, we propose that permutation should be understood as yielding an exact discrete null distribution. The relevant literature, some of which is likely to have been relatively unavailable to the genetic community, is reviewed and summarised.Conclusions:
When permutations are selected at random, a computing approach is established for accurate p-values. The approach works for any number of permutations and samples. Some basic guidelines are offered for the practical application of permutation testing.To learn more about statistics, visit :
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10. janet and david are playing with a pair of dice. if janet rolls two numbers whose sum is less than 6, david wins and gets to roll next. however, if janet rolls two numbers whose sum is 6 or greater, she gets to keep rolling. is this a fair method for their game? this is a fair method. this is not a fair method. not enough information.
Considering the probabilities of each outcome, it is much more likely that Janet wins than David, hence this is not a fair method.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The 36 total outcomes for the roll of two dice are given as follows:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6).(2,1), (2,2), (2,3), (2,4), (2,5), (2,6).(3,1), (3,2), (3,3), (3,4), (3,5), (3,6).(4,1), (4,2), (4,3), (4,4), (4,5), (4,6).(5,1), (5,2), (5,3), (5,4), (5,5), (5,6).(6,1), (6,2), (6,3), (6,4), (6,5), (6,6).The number of outcomes in which the sum is less than 6 is:
10.
Hence the probability that David wins is:
p = 10/36.
Janet winning is complementary to David, hence the probability she wins is:
p = 26/36.
From the probabilities, it is much more likely that Janet wins than David, hence this is not a fair method.
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Which set of numerical values represents the lower quartile, the median, and the upper quartile, in that order, of the box plot of this data set? 11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20
For the given data set the lower quartile is 12 , the median is 15 and the upper quartile is 19 .
In the question ,
the data det is given as {11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20}
the median is the central value , that is 15.
For lower and upper quartile ,
the set is divided into two halves ,
the lower half is {11,12,12,13,14}
the median of the lower half (lower quartile) = 12
the upper half is {16,18,19,19,20}
the median of the upper half(upper quartile) = 19.
Therefore , for the given data set {11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20}, the lower quartile is 12 , the median is 15 and the upper quartile is 19 .
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Marissa says that lines a and d will eventually intersect. is she correct? explain. yes, because they are on the same plane yes, because they are perpendicular no, because they are parallel no, because they are skew
Marissa says that lines a and d will eventually intersect is a wrong statement as they are skew lines. Therefore option D is correct.
What are skew lines?A and D are both in different planes, skew lines are line that will never intersect because they are noncoplanar, meaning they are never in the same plane. If they aren't in the same plane, they can't intersect.
Two or more lines that doesn't have any intersections but they are not parallel.
Skew lines are also called as agonic lines. Since two lines in a plane must be parallel or intersect ,skew lines can only exist in three dimensions or more dimensions.
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. A drawing of a tree and a wall are in the image below.
24 fl
What is the height of the tree?
A. 1 foot
C. 36 feet
B. 16 feet
D. 22 feet
Height of the tree is 16ft
There is a tree and a wall.
height of the wall = 4ft
Base of the wall = 6ft
tanθ for wall = height of the wall/Base of the wall
= 4/6
= 2/3
Height of the tree be h
base of the tree = 24ft
tanθ for tree= h/24
tanθ for wall = tanθ for tree
2/3 = h/24
h=(2/3)(24)
= 16ft
Height of the tree is 16ft.
Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or between a base and something above it. Height is something measured vertically, whether it is high or low.
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Contains (5, 8) and is parallel to the graph of y = 7x - 6.
The required equation of the line is y = 7x–27.
The general equation of the line is y = mx + c.The given equation of the line is y = 7x–6.The slope (m) of the line is 7.The slope should be the same for another line to be parallel to this one.The required equation of line is of the form y = 7x + c.We know that the required line passes through the given point(5, 8).So, (5, 8) should satisfy the equation of the line.y = 7x + c8 = 7*5 + c8 = 35 + cc = –27Thus, the required equation for the line is y = 7x–27.To learn more about the slope, visit :
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Make a mapping diagram for the relation.
{(-3, 4), (1, 1), (3, -6), (4, -1)}
Check the picture below.
a have a box of d chocolates. i eat 7 of them. how many chocolates are left?
Answer:
d-7 would be the equation. If you don't know what D is, use the variable "D"
Gina Wilson Unit 7 Homework 2 . answers for all please
1) 72 + 18 =90. Therefore the angles are complementary angles
2) Angles one and two are a pair of opposite angles made by two intersecting lines. Those are called vertical angles.
3) Those two are right angles, and two right angles add up to 180. So they are right angles and supplementary angles.
4) Adjacent angles
5) Vertical angles and supplementary (because both are right angles)
6) Right angles, supplementary, linear, adjacent angles.
7) Complementary and adjacent angles.
8) Angle of a straight line is 180. So 180-21 should equal x. x=159
9) As stated in number 2, vertical angles are congruent. x=129
10) 38 and x are complementary angles. (it shows a box on the angle formed by both of them, which means it is a right angle.) 90-38 = 52
11) Vertical angle rule. y = 93. The sum of 93, y, x, and z is 360, because the degree of a full circle is 360 degrees. so, 360-93-93 is 174. However, because of the vertical angle rule we will know that x=z. so 174/2 is 87.
x=87 and z=87
12) If you read the question, it states m∠PQR is 147, and ∠PQR is consisted of 119 and x. So, 147-119 is x. x=28
13) W and 34 are linear angles. Linear angles add up to 180 degrees. So, 180-34. w=146. Angle x is labeled with a box at the vertex of the angle. That indicates it is a right angle. x=90. The angle formed with 34 and z is labeled with a box at the vertex, indicating 34+z is 90. Therefore, 90-34=z. z=56. Finally, because angle x is linear with angle (y+z), we will know that y+z is equal to 90. Therefore, y+z=90, y+56=90, y=90-56, y=34
14) We are given that m∠AEC is 41. ∠AEC and ∠AED are linear angles. So, m∠AED = 180-41. m∠AEC=139
15) ∠DEF is a right angle, indicated by the box label at the vertex. ∠DEF and ∠CEF are linear angles, therefore m∠CEF = 180-90. m∠CEF=90
16) ∠DEB and ∠AEC are vertical angles. Therefore m∠AEC and m∠DEB are equal. ∠DEB=41
17) ∠DEB and ∠BEF form a right angle together. In question 16 we confirmed that m∠DEB is 41. Therefore m∠BEF is equal to 90-41.
m∠BEF=49
18) In question 15 we confirmed that m∠CEF is 90, and in question 17 we confirmed that m∠BEF is 49. So m∠CEB must be 90+49. m∠CEB=139
19) In question 15 we confirmed that m∠CEF is 90, and the direction states m∠AEC is 41. Therefore m∠AEF is 90+41. m∠AEF=131
20) Vertical angles are congruent. Therefore ∠PQR is the same degree measure as ∠SQT. m∠PQR=109
21) Complementary angles add up to 90. Therefore ∠2+∠3 = 90. And it is given that ∠2=24. Therefore ∠3 = 90-24. ∠3=66
22) Supplementary angles add up to 180. Therefore ∠K+∠L= 180. And it is given that ∠K=56. Therefore ∠L = 180-56. ∠L=124
What is the value of the following expression?: 6+32-5-7
O a. 44
O b. -12
C. 398
O d. 68
Answer:
44
Step-by-step explanation:
Can someone please help mee (20 points + brainliest!!!)
Answer:
m = - 1 and b = - 4
Step-by-step explanation:
the equation of a line in slope= intercept form is
y = mx + b (m is the slope and b the y- intercept )
here slope m = - 1 , then
y = - x + b ← is the partial equation
to find b substitute (- 3, - 1 ) into the partial equation
- 1 = 3 + b ⇒ b = - 1 - 3 = - 4
y = - x - 4 ← equation of line
with m = - 1 and b = - 4
For g (x)=x^2 + 6 find g(2)
Answer:
plug in the 2 for x so its 2^2+6 2^2 is 4 plus 6 is 10
Step-by-step explanation: