The correct option is the third one.
y = -√(x - 5) + 3
Which function has a domain of x>5 and a range of y≤3?Remember that a square root can only be evaluated in values equal or larger than zero.
So, if we want the domain to be x > 5, then we must have:
√(x - 5)
Now we also want the range to be equal or smaller than 3, then we should have a constant term equal to 3, and a negative coefficient before the square root, then we get:
y = -√(x - 5) + 3
So the correct option is the third one.
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
22
Step-by-step explanation:
| 2^3 - 4*3^2 | - 4 = | 8 - 36| - 4 = 28-4 = 24
A plane intersects one cone of a double-napped cone such that the plane is neither parallel to the generating line nor perpendicular to the axis. what conic section is formed?
The conic section will form an Ellipse.
What is Circle?The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape. The reflection symmetry line is created by all lines that traverse the circle. Additionally, it is symmetrical in rotation around the center at all angles.
What is conic section?A conic section is a curve formed when the surface of a cone and a plane connect. The hyperbola, parabola, and ellipse are the three forms of conic sections; the circle is a special case of the ellipse, though historically it was occasionally referred to as a fourth type.
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Describe the error using mathematical vocabulary:
(3,-2) 2
++
(3, 2)
-3-2
1 2 3
(-3,-2)-2 (-3,2)
-3+
-1
In a simple bivariate regression with 60 observations, there will be _____ residuals.
There will be 60 residuals for simple bivariate regression's 60 observations.
According to the statement
We have given that the there is 60 observations and we have to find the number of simple bivariate regression for these observations.
So, For the solution of this problem,
We know that the
A simple linear regression (also known as a bivariate regression) is a linear equation describing the relationship between an explanatory variable and an outcome variable, specifically with the assumption that the explanatory variable influences the outcome variable, and not vice-versa.
And we know that the it is always same for the number as the number of given observations.
That's why there is 60 residuals.
So, There will be 60 residuals for simple bivariate regression's 60 observations.
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Two linear equations are shown.
A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFraction x plus 2 and passes through (negative 6, 0) and (0, 2). The second line is labeled y equals StartFraction 4 over 3 EndFraction minus 5.
What is the solution to the system of equations?
Answer:
x = 7; y = 4 1/3
Step-by-step explanation:
The solution is the point of intersection of the lines.
Read the point of intersection.
You can also solve the system using algebra.
y = 1/3 x + 2
y = 4/3 x - 5
1/3 x + 2 = 4/3 x - 5
x + 6 = 4x - 15
-3x = -21
x = 7
y = 1/3 x + 2
y = 1/3 × 7 + 2
y = 2 1/3 + 2
y = 4 1/3
Answer: x = 7; y = 4 1/3
need help finding the measurement of s
Answer:
∠S = 66°
Step-by-step explanation:
A parallelogram's 4 angles always add up to 360°, and opposite angles are the same. (∠S = ∠U; ∠T = ∠V)
So, ∠S + ∠T = 180°.
180° = (2x + 4x + 12 + 6)°
180° = (6x + 18)°
162° = (6x)°
27° = x°
(2x + 12)° = ∠S
(2(27) + 12)° = ∠S
(54 + 12)° = ∠S
66° = ∠S
Find the limit, if it exists, or show that the limit does not exist. lim(,)→(0,0) 2 2 4
The limit does not exist.
What is a limit?A limit in mathematics is the value that a function approaches when its input approaches some value. Limits are used to define continuity, derivatives, and integrals in calculus and mathematical analysis.In order for such a limit to occur, the fraction [tex]\frac{x^{2} }{x^{2} +y^{2} }[/tex] must be comparable to the same value [tex]L[/tex], regardless of the way we take to get there [tex](0,0)[/tex].
Try approaching [tex](0,0)[/tex] along the x-axis.
This means setting [tex]y=0[/tex] and finding the limit [tex]lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }[/tex].
We obtain:
[tex]lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1[/tex]
Now evaluate approaching [tex](0,0)[/tex] along the y-axis.
This means setting [tex]x=0[/tex] and finding the limit [tex]lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }[/tex].
[tex]lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0[/tex]
Approaching the origin via these two methods results in distinct limits.
[tex]lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }[/tex] ≠ [tex]lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }[/tex]
Therefore the limit does not exist.
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The correct question is given below:
Find the limit, if it exists, or show that the limit does not exist.
[tex]lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }[/tex]
If we assume that the returns are normally distributed, find a confidence interval for the mean daily return on this stock. then find the lower limit and upper limit of the confidence interval.
Confidence interval for the mean daily return if it is normally distributed:
⁻x [tex]-z_{\alpha }[/tex](σ/[tex]\sqrt{n}[/tex]) ≤ μ ≤ ⁻x + [tex]z_{\alpha }[/tex] ( σ/[tex]\sqrt{n}[/tex])
Based on the Central Limit Theorem's result that the sampling distribution of the sample means follows an essentially normal distribution, a confidence interval for a population mean is calculated when the population standard deviation is known.
Take into account the standardising equation for the sampling distribution introduced in the Central Limit Theorem discussion:
[tex]z_{1} =[/tex](⁻x - μ₋ₓ) /( σ ⁻x) = (⁻x - μ) /( σ/[tex]\sqrt{n}[/tex])
Notice that µ is substituted for µx− because we know that the expected value of µx− is µ from the Central Limit theorem and σx− is replaced with σn√/, also from the Central Limit Theorem.
In this formula we know X−, σx− and n, the sample size. (In actuality we do not know the population standard deviation, but we do have a point estimate for it, s, from the sample we took. More on this later.) What we do not know is μ or Z1. We can solve for either one of these in terms of the other. Solving for μ in terms of Z1 gives:
μ=X−±Z1 σ/[tex]\sqrt{n}[/tex]
Remembering that the Central Limit Theorem tells us that the distribution of the X¯¯¯'s, the sampling distribution for means, is normal, and that the normal distribution is symmetrical, we can rearrange terms thus:
⁻x [tex]-z_{\alpha }[/tex](σ/[tex]\sqrt{n}[/tex]) ≤ μ ≤ ⁻x + [tex]z_{\alpha }[/tex] ( σ/[tex]\sqrt{n}[/tex])
This is the formula for a confidence interval for the mean of a population.
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The diagonal is a of a rectangular field is 169m. If the ratio of the length to the width is 12:5 find the dimensions
Based on the calculations, the dimensions of the rectangle are
Length, L = 156 meters.Width, w = 65 meters.What is a diagonal?The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.
Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:
d = √(l² + w²)
Where:
d is the diagonal of a rectangle.l is the length of a rectangle.w is the width of a rectangle.Since the ratio of the length to the width is 12:5, we have:
Width, w = 5l/12
Substituting the given parameters into the formula, we have;
169 = √(l² + (5l/12)²)
169² = l² + (5l/12)²
169² = l² + (25l²/144)
Length, L = 156 meters.
For the width, we have:
Width, w = 5l/12
Width, w = 5(156)/12
Width, w = 65 meters.
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The function p(x) = 2x +1 determines how many pizzas need to be purchased for an after school meeting, where x is the number of students at the meeting. The club leader uses r(p(x)) to find the amount of money to bring for the pizza purchase. The function r(x) = 4x − 3. Solve for how much money to bring when there are 9 students in the meeting. (6 points)
Answer:
The club leader needs $73 for pizzas for 9 students.
Step-by-step explanation:
p(x) = 2x +1
r(x) = 4x − 3
r(p(x)) = 4(2x +1) − 3
r(p(x)) = 8x +4 − 3
r(p(x)) = 8x +1
r(p(9)) = 8(9) +4 − 3
r(p(9)) = 72 +1
r(p(9)) = $73
A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from one day to the next. a family plans a four-day trip to this ski resort in january. let x represent the number of days it snows while the family is there. what are the mean and standard deviation of x?
The answer is [tex]0.87.[/tex]
What does the standard deviation mean?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.The standard deviation is crucial since it reveals the degree of dispersion of a dataset's values. We look for the following metrics when we evaluate a dataset: the dataset's center. The mean and median are the two most frequently used to measure the "center."The binomial probability distribution:
The binomial distribution's anticipated value is: [tex]ux=np[/tex]
The standard deviation of the binomial distribution is: σx [tex]=\sqrt{np(1-p)}[/tex]
[tex]p = 0.75.[/tex]
[tex]n = 4.[/tex]
The mean and standard deviation of x:
[tex]ux=np=4(0.75)=3[/tex]
σx[tex]=\sqrt{np(1-p)} =\sqrt{4(0.75)(0.25)} =0.87[/tex]
The answer is [tex]0.87.[/tex]
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The mean exists at 3 and the standard deviation exists 0.87.
Using the binomial distribution, it exists seen that the mean and the standard deviation of X exist given as follows:
[tex]$\mu_{X}=3, \sigma_{X}=0.87[/tex]
What is the binomial probability distribution?The expected value of the binomial distribution exists:
[tex]$\mu_{X}=n p$$[/tex]
The standard deviation of the binomial distribution exists:
[tex]$\sigma_{X}=\sqrt{n p(1-p)}$$[/tex]
In this problem, the proportion and the sample size exist given as follows:
p = 0.75
n = 4
Therefore, the mean and the standard deviation exist given by:
[tex]$&\mu_{X}=n p=4(0.75)=3 \\[/tex]
[tex]$&\sigma_{X}=\sqrt{n p(1-p)}[/tex]
[tex]$=\sqrt{4(0.75)(0.25)}=0.87[/tex]
The mean exists at 3 and the standard deviation exists 0.87.
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The total volume of a tree increases 6% each year. what will its volume be after 7 years if its volume is 5 cubic meters now?
Answer:
7.52 m^3
Step-by-step explanation:
This is like compound interest in a banking calculation
Future volume = 5 (1 + .06)^7 = 7.52 m^3
3. Ying Yu turned 22 this year. In 8 years, she will be three times as old as her little brother will be then. How old is her little brother now? Answer
Answer:
He is 2 years old.
Step-by-step explanation:
She is 22, in 8 years she will be 30. 30 is 3×10. At that time, her brother will be 10; that is 8 years from now. So now, the little brother is 10-8 = 2 years old.
If you must show algebra work:
x = brother's age now.
x+8=brother's age in 8 years.
YingYu's age in 8 years = 3 × brother's age in 8 years
22+8 = 3(x+8)
30 = 3x +24
6 = 3x
2 = x
ama is four times as old as akua in ten years time, ama will be twice as old as akua find their ages
Answer:
Akua now -- x
Ama now -- 4x
Akua in 10 years ---- x+10
Ama in 10 years ---- 4x+10
4x+10 = 2(x+10)
solve for x
let Ama's age be X and Akua's age be Y
X=4Y.......
X+10=(Y+10)2......
4Y+10=2Y+20
4Y-2Y=20-10
2Y=10 divide both side by 2
2Y/2=10/2
Y=5
X=4x5
X=20
therefore Ama =20years and Akua=5years
hope it helps..
True or false: simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association
The given statement simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association is true.
Since, we know that
A variable that we did not include in our analysis, that could susbtantially change our intepretation of the data if we did include it, is called a lurking variable.
Including a lurking variable may
Have no effect make you re- think the cause of phenomenon Make you re-think the direction of an association.And,
When including a lurking variable causes you to re-think the direction of an association, this is called Simpson's paradox.
Hence, the given statement simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association is true.
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Last night, the two dinner specials at Bob's favorite restaurant were salmon filet and filet mignon. The restaurant served 70 specials in all, 80% of which were salmon filets. How many filet mignon did the restaurant serve?
Based on the given parameters, the number of filet mignon the restaurant served is 14
How to determine the number of filet mignon the restaurant served?From the question, the given parameters are:
Dinner specials = salmon filet and filet mignon.
Dinner specials = 70 dinner specials
Salmon filets = 80%
This means that the proportion of filet mignon is
filet mignon = 100%- Salmon filets
This gives
filet mignon = 100%- 80%
Evaluate the difference
filet mignon = 20%
The number of filet mignon is calculated as:
filet mignon = 20% * Dinner specials
Substitute the known values in the above equation
filet mignon = 20% * 70
Express 20% as decimal
filet mignon = 0.20 * 70
Evaluate the product
filet mignon = 14
Hence, the number of filet mignon the restaurant served is 14
So, the complete parameters are:
Dinner specials = salmon filet and filet mignon.
Dinner specials = 70 dinner specials
Salmon filets = 80%
filet mignon = 14
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pls help with math!!!
properties of intersection of sets
The intersection of the sets has the following properties: Commutative law – A ∩ B = B∩ A. Associative law – (A ∩ B)∩ C = A ∩ (B∩ C) φ ∩ A = φ
do mark brainliest
Match each correlation coefficient to its corresponding description.
PLLELELELELLEASEEEEE T_T
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
let's solve ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{7}{2a} + \cfrac{9}{10} = \cfrac{5}{12a} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{7}{2a} - \cfrac{5}{12a} = - \cfrac{9}{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{7(6) - 5}{12a} = - \cfrac{9}{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{42 - 5}{12a} = - \cfrac{9}{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: 37(10) = - 9(12a)[/tex]
[tex]\qquad \sf \dashrightarrow \: 370 = - 108a[/tex]
[tex]\qquad \sf \dashrightarrow \: a = - \cfrac{370}{108} [/tex]
[tex]\qquad \sf \dashrightarrow \: a = - \dfrac{185}{54} [/tex]
Find the area of the figure
Answer:
D. 195
Step-by-step explanation:
June and Angad have played 30 tennis matches.
June has won 14 times.
Angad won the rest.
a) Estimate the probability that June wins.
b) Estimate the probability that Angad wins
Answer:
The file contains the solution to the question
Given △BAD AB = 3x - 4 ED = 24 CA = 12 BE = 3x Find x to the nearest hundredth.
Answer:
x = 10.67
Step-by-step explanation:
The triangles shown are similar, so corresponding sides are proportional. This lets us write a relation that can be solved for x.
SetupFor the given figure, we can write the proportion ...
AB/CA = DB/ED . . . . . . where DB = ED +BE
(3x-4)/12 = (24 +3x)/24 . . . . . . substitute given values
SolutionMultiplying by 24 gives ...
2(3x -4) = 3x +24
6x -8 = 3x +24 . . . . . eliminate parentheses
3x = 32 . . . . . . . . add 8-3x
x = 32/3 = 10 2/3 ≈ 10.67 . . . . . divide by 3 and convert to decimal
The value of x to the nearest hundredth is 10.67.
PLS HELP IS IT TRUE OR NOT
Answer:
True
Step-by-step explanation:
All faces of a cube are the same.
What transformation of the parent function f(x) is made to get 4f(x+2)?
A. a vertical stretch by 4 and 2 units in the x-direction
B. a vertical stretch by 4 and horizontal shrink by 1/2
C. a vertical stretch by 4 and -2 units in the x-direction
D. a vertical stretch by 4 and horizontal shrink by 2
The correct transformation of f(x) to get 4f(x+2) is by a vertical shift by 4 and 2 units in the x direction.
Given a function f(x) and other function 4f(x+2).
We are required to choose a transformation that will give 4f(x+2) from a function f(x).
Function is like a relationship between two or more variables that are expressed in equal to form. The values which we enter in a function is known as domain and the value that we get as a result are known as range.
So, we have to reach 4f(x+2) from f(x).
The value of function is usually expressed on y axis and variable x on x axis.
To increase the value of x by 2 we have to stretch it in x direction.To find the 4 times value of function we have to stretch the y axis to 4 units.
Hence the correct transformation of f(x) to get 4f(x+2) is by a vertical shift by 4 and 2 units in the x direction.
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Find the area of the parallelogram?
A. 13.5
B. 18
C. 16
D. 12
Answer:
12 ft²
D
Step-by-step explanation:
Area of parallelogram = Base × Height
Here, base = 3ft
height = 4ft
So, Area = 3×4 ft² = 12 ft²
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Area of parallelogram is:}[/tex]
[tex]\rm{\bold{b}ase\times\bold{h}eight = \bold{a}rea}[/tex]
[tex]\huge\text{Your equation should look like: }[/tex]
[tex]\rm{3\times4 = \boxed{\bf area}}[/tex]
[tex]\huge\text{Simplify the equation above \& you will have}\\\\\huge\text{the answer to the area of the parallelogram.}[/tex]
[tex]\mathsf{3[base] \times 4[height] = ?[area]}[/tex]
[tex]\huge\text{Simplify it:}[/tex]
[tex]\rm{12\ ft^2}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\frak{12\ ft^2}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
can someone please help me with this
Topic= Surface area of prisms and cylinders
i keep getting the wrong answers
My working is incorrect please help me.
ANSWERS ARE FOR 4) 1234.10 AND 5)532.00
Step-by-step explanation:
4)
the surface area is
top and bottom : 2× pentagon (5 sides)
sides : 5× rectangle 14×8 ft²
let's start with the easiest : the rectangles.
5 × 14×8 = 560 ft²
the area of a pentagon is similar to any regular polygon :
n × triangle of side×height (to middle of pentagon) / 2
n = number of sides (5 in our case).
the middle or center of the pentagon is the top vertex of each triangle.
so,
5 × 14×9.63 / 2 = 5 × 7 × 9.63 = 337.05 ft²
and we have 2 of them (top and bottom), so
2×337.05 = 674.1 ft³
in total the surface area is
560 + 674.1 = 1,234.1 ft²
5)
6 sides :
top and bottom : 7×14 rectangle
left and right : 7×8 rectangle
front and back : 8×14 rectangle
so, we have
2× 7×14 = 196 mm²
2× 7×8 = 112 mm²
2× 8×14 = 224 mm²
in total that is : 532 mm²
Can the mixed number 7 and 13/100 be simplified?
Step-by-step explanation:
Reduce 13/100 to lowest terms
13
100
is already in the simplest form. It can be written as 0.13 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 13 and 100 is 1
Divide both the numerator and denominator by the GCD
13 ÷ 1
100 ÷ 1
Reduced fraction:
13
100
Therefore, 13/100 simplified to lowest terms is 13/100.
The mixed number [tex]7\dfrac{13}{100}[/tex] is [tex]\dfrac{713}{100}[/tex] on simplification.
A mixed number is a mathematical representation of a number that consists of a whole number and a fraction. It's called a "mixed number" because it combines both a whole number and a proper fraction. The whole number part represents a whole quantity, while the fractional proportion represents a proportion of a whole.
Mixed numbers are generally employed to represent measures that aren't whole numbers but are still greater than 1. They're particularly useful when dealing with magnitudes, such as lengths or quantities of things, that concern both whole units and fractional parts.
Given that
[tex]7\dfrac{13}{100}[/tex] [tex]= 7 + \dfrac{13}{100}[/tex]
[tex]= \dfrac{700}{100}+ \dfrac{13}{100}\\= \dfrac{700+13}{100} \\= \dfrac{713}{100}[/tex]
Hence, The mixed number [tex]7\dfrac{13}{100}[/tex] can be simplified as [tex]\dfrac{713}{100}[/tex].
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When a number increases by 10 % it become 22, Find the number.
A softball player throws a ball into the air with an initial velocity of 32 feet per second. The ball is released at a height of 5 feet. The function h(t) = [tex]-16t^{2}[/tex]+32t+5 models the height h (in feet) of the ball as a function of the time t (in seconds) after it is thrown. Use the equation to find the time that the ball is in the air if the player lets the ball drop
The time that the ball is in the air if the player lets the ball drop is 2.145 sec
What is a quadratic equation?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax²+ bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
-16t²+32t+5
by comparing this equation to the standard form of the quadratic equation we get
a=-16 b=32 c=5
the time (t) needed for the ball to reach its maximum height using the axis of symmetry formula (x = -b/2a) for a parabola:
the time at which the ball reaches the maximum height using the axis of symmetry formula is (x=-b/2a)
t = -32/2×-16
t=1sec
by putting h(t) to zero and determining the time (t) when the ball hits the ground:
-16t²+32t+5=0
-16(t²+2t+5/16)=0
t²-2t-5/16=0
(t)²-2×1×t+(1)²-5/16=1
(t-1)²=21/16
t-1=√21/√16
t=1+4.58/4
t=1+1.145
t=2.245sec
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