It is important to carefully consider the research question and the nature of the data before deciding whether to perform inference on the y-intercept or not.
In general, inference on the y-intercept can be meaningful if it is relevant to the research question or hypothesis being tested. The y-intercept can provide important information about the initial value of the dependent variable when the independent variable is zero or not defined.
However, it is important to note that inference on the y-intercept may not always be relevant or useful, depending on the specific context of the research question and the nature of the data being analyzed.
Therefore, it is important to carefully consider the research question and the nature of the data before deciding whether to perform inference on the y-intercept or not.
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Someone do this please
Answer: 102 degrees
Step-by-step explanation:
The remote angle theorem is that two remote angles are equivalent to the exterior angle. Both 51 degrees are remote angles, and angle 4 is the exterior.
51 + 51 = Angle 4
Angle 4 = 102 degrees
Identify the perimeter of a rectangle in which h = 8 ft and a = 144x ft^2. please help asap
Here, Given
h= 8ft
a=144 * ft^2
then,
A=L*H
144=L*8 or 144/8 =L
L=18
now, P=2(L+H)
P=2(18+8)
P=52m
Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.
The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.
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Is 1/11 a irrational number?
Answer:
No
Step-by-step explanation:
Am irrational number is a number that can't be expressed by a ratio (fraction). 1/11 is a fraction so it is rational, not irrational.
Which answer represents the following conditional statement in shorthand?
if megan is swimming, then it is warm outside.
The expression which represents the given conditional statement in shorthand is: S → W.
What is a conditional statement?A conditional statement can be defined as a statement that can be written to contain both a hypothesis and conclusion. Thus, it typically has the form "if P then Q."
Where:
P and Q represent sentences.
If Megan is swimming = S
It is warm outside = W
Therefore, if Megan is swimming, then it is warm outside is represented by S → W.
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5 roses in a vase 12 flowers what is the ratio of all flowers in the vase of daisies
The ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.
The number of flowers in the vase = 12 flowers
The number of roses in the vase = 5 roses.
Therefore, the number of daisies in the vase = The number of flowers in the vase - The number of roses in the vase,
or, the number of daisies in the vase = 12 - 5 = 7.
Thus, the number of daisies in the vase = 7.
We are asked to find the ratio of the total number of flowers in the vase, to the number of daisies in the vase.
Thus, the ratio = The number of flowers in the vase/The number of daisies in the vase,
or, the ratio = 12/ = 12:7.
Thus, the ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.
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Solve the equation: √2 + 4 - 1 = 2
A) ±x= √5
B) ±x = √13
OC) x= 3
D) x = 5
Answer:
Step-by-step explanation:
1) Separate terms with roots from terms without roots.
[tex]x^2+4=\sqrt[\frac{1}{2} ]{4+1}[/tex]
2) Simplify 4 + 1 to 5.
[tex]x^2+4=\sqrt[\frac{1}{2} ]{5}[/tex]
3) Invert and multiply.
[tex]x^2+4=5^2[/tex]
4) Simplify [tex]5^2[/tex] to 25.
[tex]x^2+4=25[/tex]
5) Subtract 4 from both sides.
[tex]x^2=25-4[/tex]
6) Simplify 25 - 1 to 24.
[tex]x^2=21[/tex]
7) Take the square root of both sides.
[tex]x=\pm\sqrt{21}[/tex]
Answer:
A
Step-by-step explanation:
[tex]\sqrt{x^{2}+4}-1=2\\\sqrt{x^{2}+4}=3\\x^{2}+4=9\\x^{2}=5\\x=(plus/minus) \sqrt{5}[/tex]
1/2a+2/3b=50 when b=30?
The given equation is (1/2)a + (2/3) b = 50
and b = 30
Substituting the given value of b is above the equation we get
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a+\left(\frac{2}{3}\right)\times30=50 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow \left(\frac{1}{2}\right)a+20=50 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a=50-20=30 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow a = 30 \times 2 = 60 } \end{gathered}$}[/tex]
Therefore, a = 60 and b = 30 is a solution of the given equation.
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https://brainly.com/question/12950748(17,-13),(17,8) finding slope from two points
Hi! ❄
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
There are really two ways to solve this problem. One of them is the slope formula. You can familiarise yourself with this formula
[tex]\sf{\dfrac{y2-y1}{x2-x1}}[/tex]
SUBSTITUTE the values
[tex]\sf{\dfrac{-13-8}{17-17}}[/tex]
[tex]\sf{\dfrac{-21}{\bf{0}}[/tex] (notice the zero was in bold-face)
Dividing by zero is an operation we cannot do.
So the slope of this particular line is not defined.
The other way is looking at the first co-ordinates of the points given
Notice that they are exactly the same. Whenever that happens, the slope of that line is not defined.
Hope that made sense !!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\star\tiny\pmb{\tt{calligraphy}}\star[/tex]
Find the maximum or minimum value of the product of two numbers whose difference is 14.
The maximum value of the product of two number whose difference is 14 is 49.
What is the maximum or minimum value of a function?The maximum or minimum value of a function is the highest or lowest value of that function.
How to determine the maximum or minimum of the product of two numbers?Let the numbers be x and y
Their product f(x,y) = xy
Since their difference is 14, x - y = 14
So, x = 14 - y
Substituting x into f(x,y), we have
f(x,y) = xy
= (14 - y)y
= 14y - y²
To find the maximum or minimum value of f(x,y) we differentiate it with respect to y and equate to zero.
So, f(x,y) = f(y) = 14y - y²
df(y)/dy = d(14y - y²)/dy
df(y)/dy = d(14y)/dy - dy²/dy
df(y)/dy = 14 - 2y
Equating to zero, we have
df(y)/dy = 0
14 - 2y = 0
14 = 2y
y = 14/2
y = 7
To determine if this gives a maximum or minimum for f(y) = f(x,y), we differentiate f'(y) again
So, df'(y)/dy = d(14 - 2y)/dy
= d14/dy + d(-2y)/dy
= 0 - 2
= -2 < 0.
Since f"(y) = -2 < 0, then y = 7 gives a maximum for f(x,y)
So, since y = 7,
x = 14 - y = 14 - 7 = 7
So, f(x,y) is maximum at x = 7 and y = 7
So, f(7,7) = 7 × 7
= 49
So, the maximum value of the product of two number whose difference is 14 is 49.
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The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). Which conclusion is true about the quadrilaterals? (5 points)
The measure of their corresponding angles is equal.
The ratio of their corresponding angles is 1:2.
The ratio of their corresponding sides is 1:2
The size of the quadrilaterals is different but shape is same.
The measure of their corresponding angles is equal the vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4) and the vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). This can be obtained by plotting the quadrilaterals on a graph paper and comparing the figures.
Which conclusion is true about the quadrilaterals?Given that,
vertices of quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4)
vertices of quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4)
(x,y) ; (x, y-8)
ABCD is reflected across the line y=4 to get the quadrilateral EFCD.
Reflection means the size and shape of the quadrilaterals is same ⇒quadrilateral ABCD and quadrilateral EFCD are congruent.
Thus corresponding parts of congruent triangles are equal, corresponding angles will be equal.
Hence the measure of their corresponding angles is equal the vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4) and the vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4).
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In your own words, explain the concept of a variable. Discuss how you can teach a class about the use of variables and how they can be used to create an algebraic expression.
VARIABLE is a symbol which is used for representation in a math.
According to the statement
we have to explain about the what is a variable.
So, VARIABLE is a symbol which is used for representation in a math.
It represent the so many things like Algebra, Matrix,Vector etc. and also so many things.
A variable may also be called a data item.
It is used to represent a data like country name, name, age, date of birth etc.
we know that the every thing is changeable. So, like ther things variables are also changeable.
The changing of variable parameters is called as variation. In problems relating to two or more variables, it is seen that the value of a variable changes with the change in the value.
So, VARIABLE is a symbol which is used for representation in a math.
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5x=3125 how do i solve that
Answer:
just divide 3125 by 5 and your answer is 625
Step-by-step explanation:
Using division, 3125 by 5 and get answer 625.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
If 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, a / b = a divided in b equal parts.
We have been given 5x = 3125
Divide by 5 each sides;
x = 3125/5
x = 645
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Find the circumference of a circle with diameter, d = 8.92m. give your answer rounded to 2 dp.
Answer:
Step-by-step explanation:
circumference is 2πr
r=d/2
r=4.46m
C=2π(4.46)=28.02
If the width of a rectangle can be represented by x and the length by x + 10, write an expression that can be used to represent the area of the rectangle. Simplify the expression as much as possible.
Answer:
The expression for area is (x)(x+10).
Step-by-step explanation:
Area=(w)(l)
Area=(x)(x+10)
(Note: This expression can be expanded, but then it wouldn't be fully simplified)
Hope this helps!
60÷8 explained well and not in a decimal form
Answer: 15/2
Step-by-step explanation: if you fraction it, it'll be 60/8 so you can simplify it by 4. So 60÷4/8÷4 will be 15/2. So the answer is 15/2
Answer:
15/2 or 7 1/2.
Step-by-step explanation:
60 / 8 divide top and bottom by 4:-
= (60/4) / (8/4)
= 15/2.
There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many different groups of players of 6 players can the coach make, if the position does not matter?
Using the combination formula, the coach can make 5,005 different groups.
The position does not matter, hence the combination formula is used.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 6 students are taken from a set of 15, hence the number of groups is:
[tex]C_{15,6} = \frac{15!}{6!9!} = 5005[/tex]
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1 1/5 · x/3 = 9/10
solve for x
The value of x in the equation 1 1/5 - x/3 = 9/10 is 9/10
Fraction1 1/5 - x/3 = 9/10
- x/3 = 9/10 - 1 1/5
- x/3 = 9/10 - 6/5
-x/3 = 9-12 / 10
-x/3 = -3/10
divide both sides by - 1/3x = -3/10 ÷ - 1/3
= -3/10 × -3/1
x = 9/10
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mean of four consecutive even numbers is 15. Enter each number separated by a comma
Answer:
12, 14, 16, 18
Step-by-step explanation:
(x + (x+2) + (x+4) + (x+6))/4 = 15
^ solve algebraically
you'll get (4x+12)/4 = 15
then: 4x + 12 = 60
then 4x = 60-12
then 4x = 48
then x = 12
x is 12 so then do substitution
so you get
12 + (12+2) + (12+4) + (12+6)
12, 14, 16, 18
What is the size of exterior angle of regular polygon which has interior angle of 120 degree?
Answer: 60 degrees
Step-by-step explanation:
An interior angle of a polygon and its corresponding exterior angle are supplementary (add to 180 degrees).
Evaluate the piecewise function at the indicated values from the domain:
ƒ(−1) = 1
ƒ(−1) = −1
ƒ(−1) = −2
ƒ(−1) = 0
The value of the piecewise function at the domain is f(-1) = 1
How to evaluate the piecewise function?The complete question is added as an attachment
At x = -1, the function is
f(x) = x^2
So, we have:
f(-1) = (-1)^2
Evaluate
f(-1) = 1
Hence, the value of the piecewise function at the domain is f(-1) = 1
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Geroge is bringing garonla bars and apples for his classmate at school apples cost 0.75 each qnd garonla bars cost 0.15 each geroge will bring 60 total items too school and spend a total of 21$ whixh system of equations best respesents the number of apples a and the number of garonla bars g?
The system of equations best represents the number of apples a and the number of garonia bars g be a+b=60, 0.75x+0.15y=21.
Given that cost of 1 apple is $0.75, cost of 1 gargonia bars be $0.15 ,total things are 60 and total money paid be $21.
Equation is relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c. It may be a linear equation,quadratic equation, cubic equation.
Because we have been told that there are 60 total things and a represents the number of apples and g represents number of garonia represents the number of garonia bars.
a+b=60--------1
Money paid by consumers is cost per units*number of units
So,
0.75a+0.15b=21
Hence the system of equations best represent the number of apples and the number of garonua bars g are a+b=60, 0.75a+0.15b=21.
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If x = false and y = false, is the statement: not x or not y
a) true
b) false
Answer:
false
Step-by-step explanation:
X is equal to Y
therefore,
X = Y
X= false
Y = false
so,
false = false
What number is represented by point B? A number line going from 1 to 2 with 5 equal spaces between 1 and 2. Point B is one mark to the left of 2. StartFraction 4 Over 5 EndFraction 1 and StartFraction 4 Over 5 EndFraction 1 and StartFraction 5 Over 4 EndFraction 2 and StartFraction 1 Over 5 EndFraction
Since A number line going from 1 to 2 with 5 equal spaces between 1 and 2the number represented by point B is 1⁴/₅
The question has to deal with proportion
What is proportion?Proportion is the measure of a variable or quantity relative to another.
How to calculate which number represents point B?Since A number line going from 1 to 2 with 5 equal spaces between 1 and 2, the measure of a sub-unit between 1 and 2 is
= 1/5
So, each sub-unit measure 1/5
Since point B is one mark to the left of 2, we have that point B is y = 2 - 1/5 = (10 - 1)/5
= 9/5
= 1⁴/₅
So, the number represented by point B is 1⁴/₅
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what is the volume of the sphere shown below with a radius of 9
Answer:
972π or 3052.08 if π=3.14(remember to label the answer with your units)
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3}\\[/tex]π[tex]r^{3}[/tex]. So, just plug the radius into the formula. [tex]r^{3}[/tex] in this case is [tex]9^{3}[/tex] which is 729. For, [tex]\frac{4}{3}[/tex]×729, the 3 and 729 cancel out to create 4×243 which is 972. Just add π to this and you get 972π. If π is 3.14 just multiple 972 and 3.14 to get 3052.08.
Denise wants to enlarge her prom photo. She wants to increase the
size 4 times the original photo. If the original photo is 6 inches by 8 inches,
how many times larger is the new photo?
4
40
16
8
After enlargement, the new photo would be 16 times larger. The answer is C: 16.
What is an Enlargement?An enlargement can be described as a type of dilation in transformation which involves increasing the dimensions of an original image by a given scale factor, so that the new image is similar to the original image. Their sizes would be different while their shapes remain the same. Also, the ratio of their corresponding dimensions would be the same.
Given the following:
Dimension of original photo = 6 inches by 8 inches
Scale factor = 4
To find the new dimensions of the new photo, multiply the corresponding dimensions of the original photo by 4, thus:
6 × 4 = 24 inches
8 × 4 = 32 inches
New dimensions = 24 by 32
Area of original photo = 6 × 8 = 48 in.²
Area of new photo = 24 × 32 = 768 in.²
768/48 = 16
This means that the new photo is 16 times larger than the original photo.
The answer is: C. 16.
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What is the value of the function at x=−2? y=−4 y equals negative 4 y = 0 y, = 0 y = 2 y = 2, y = 3
Based on the graph which models the function at x = -2 (see attachment), the corresponding y-value is y = 3.
What is a function?In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.
In this scenario, there are several values (points) on the given linear graph expressed as a coordinate (x, y). Hence, the x-values on the x-axis is directly proportional to the y-values on the x-axis.
By critically observing the graph which models the function at x = -2 (see attachment), we can logically deduce that the corresponding y-value is three (3).
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Answer:
Ik im late but yea
Step-by-step explanation:
I took the test :O
2. (4)1 point possible (graded, results hidden)Recall for Define the kernel function Write as a function of the dot product . To answer, let , and enter in terms of . z^2 submitted
The Kernel Function K (x,x') written as a function of the dot product x *x' is K (x, x') = Z². See the working below.
What is a Kernel Function?A kernel function is a way for taking input data and transforming it into the needed form of processing data.
The term "kernel" refers to a collection of mathematical functions used in Support Vector Machine to provide a window to alter data.
What is the solution deriving the expression given above?Given x = [x₁, x₂][tex]^{T}[/tex]
β(x) = [x²₁, √2 x₁ x₂, x²₂]
K (x₁, x') = β(x)[tex]^{T}[/tex] β(x')[tex]^{T}[/tex]
Hence, X' = [x₁, x₂][tex]^{T}[/tex]
→ β(x') = [x'²₁, √2 x'₁ x'₂, x'²₂]
K (x, x') = [x²₁, √2 x₁ x₂, x²₂][tex]^{T}[/tex] [x'²₁, √2 x'₁ x'₂, x'²₂]
K (x, x') = [x²₁, [x'²₁ + 2x₁ x₂ x'₁ x'₂ + x²₂ x'²₂
Because Z = x · x' (dot product of x·x')
= x₁ x'₁ + x₂x₂'
Expressing K (x,x') as a function of Z, we have
K (x₁, x') = x²₁ x'²₁ + 2x₁x₂ x'₁ x'² + x²₂ x'²₂
Simplified, we have
(x₁ x₁¹ + x₂x¹₂)² = Z²; and
[(a+b)² = a²+2ab+b₂] = z x₁x₁¹ + x₂x₁²
Therefore,
K (x, x¹) = Z²
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Hi having a bit of trouble.
Answer:
P = 160/A
Step-by-step explanation:
For P to vary inversely with A, we must have P be proportional to the reciprocal of A. The constant of proportionality is given.
Inversely proportionalTwo quantities are directly proportional if there is a constant of proportionality (k) that multiplies one of them to give the value of the other:
y = kx
They are inversely proportional if the inverse of one of them can be multiplied by a constant of proportionality to give the value of the other:
y = k(1/x) = k/x
In this problem, the variables P and A are said to be inversely proportional. That means the equation that relates them will be of the form ...
P = k/A
You are given such a form with k=160, which is an appropriate value for the relation given by the problem. All you need to do is fill in the variable:
P = 160/A
Please help! I'm giving 25 points!!
The volume of the oceans on Earth is approximately 1,386 million km^3. As the Earth's temperature rises, the ice in the polar icecaps melts into the oceans, increasing the volume of the oceans. If 1 cm^3 of ice melts, it turns into approximately 0.92 cm^3 water.
1) There are approximately 3,800 cm^3 in a gallon. If 1.9 m^3 of ice melts, how many gallons of water does this produce? (Round your answer to the nearest gallon.)
2) Scientists estimated that the addition of 1,000 km^3 of water would increase sea levels by 364 cm. Greenland's ice sheet is especially vulnerable to melting. Recent reports indicate a melting average of 195 km^3 of ice per year from Greenland, resulting in additional yearly 179.4 km^3 of water. If melting continues at this rate, how many centimeters would the sea increase after 6 years? (Round your answer to the nearest centimeter.)
1. The number of gallons of water produced is 460 gallons
2. The amount in cm the sea would increase after 6 years is 392 cm
1. How to determine the number of gallons producedWe'll begin by by converting 1.9 m³ to cm³. This is illustrated below:
1 m³ = 1×10⁶ cm³
Therefore,
1.9 m³ = 1.9×10⁶ cm³
Next, we shall determine the volume of water produced from 1.9 m³ (i.e 1.9×10⁶ cm³) of ice. This is illustrated below:
From the question given,
1 cm³ of ice = 0.92 cm³ of water
Therefore,
1.9×10⁶ cm³ of ice = 1.9×10⁶ × 0.92
1.9×10⁶ cm³ of ice = 1.748×10⁶ cm³ of water
Finally, we shall determine the number of gallons produced. This is illustrated below:
From the question given,
3800 cm³ of water = 1 gallon
Therefore,
1.748×10⁶ cm³ of water = 1.748×10⁶ / 3800
1.748×10⁶ cm³ of water = 460 gallon
Thus, 460 gallons were produced
2. How to determine the amount in cm the sea would increase to after 6 yearsFrom the question given above,
1000 Km³ = 364 cm
Therefore,
179.4 Km³ = (179.4 × 364) / 1000
179.4 Km³ = 65.3016 cm per year
To obtain the increase after 6 years, multiply 65.3016 by 6 as shown below:
65.3016 × 6 = 392 cm
Thus, the sea will increase 392 cm after 6 years
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A linear expression does not have a squared variable.
it is true that a linear expression does not have a squared variable.
How to determine the true statement?The following are the forms of a linear expression
y = mx + c
Ax + By = C
x = a
Notice that none of the above expressions have a squared variable
This means that, a linear expression does not have a squared variable.
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