Answer:
Step-by-step explanation:
Comment
The first thing you should notice once you have read it, is there is a plus sign required. That means you are likely to get a binomial (two different things that won't reduce or combined).
So what you get is
18*g + 5
Notice where the place sign is. It is between 18g and 5. The result cannot be simplified any further.
Answer
18g + 5
Which of the following alternatives are similar monomials?
a) 8x and -7x
b) 5a² and 5a
c) 4 and -17
d) 2ab and 3abc
e) -3ab and 9abc
f) - [tex]\frac{x}{3}[/tex] and 11x
The alternatives that are similar monomials are given as follows:
a) 8x and -7x.
c) 4 and -17.
f) -x/3 and 11x.
What are similar monomials?Similar monomials are monomials in which the part with the letters are equal. For example, 8x and -7x, as x = x, or even 9x²y and -2x²y, as x²y = x²y.
Hence options a, c and f are correct in this problem.
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Find the solution to the system of equations: x 3y = 7 and 2x 4y = 8 1. isolate x in the first equation: 2. substitute the value for x into the second equation: 3. solve for y: 4. substitute y into either original equation: 5. write the solution as an ordered pair:
Two or more equations using the same variable are referred to mathematically as a "system of linear equations." These equations' solutions serve as a representation of the intersection of the lines.
According to the given information:Two equations are presented here:
1) x + 3y = 7
2) 2x + 4y = 8
First, in the first equation, we want to isolate x:
x + 3y = 7
x = 7 -3y
In order to create an equation that depends just on the variable y, we must now b) swap it out in the second equation.
2x + 4y = 8
2(7 - 3y) + 4y = 8
The value of y is now determined by solving this equation in step (c).
14 - 6y + 4y = 8
14 - 2y = 8
-2y = 8 - 14 = -6
y= 6/2= 3
d) With the value of y now available, we can change the equation we obtained in step a) by substituting it.
x = 7 - 3y
x = 7 - 3*3 = 7 - 9 = -2
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I understand that the question you are looking for is:
Find the solution to the system of equations, x + 3y = 7 and 2x + 4y = 8.
1. Isolate x in the first equation: x = 7 − 3y
2. Substitute the value for x into the second equation: 2(7 − 3y) + 4y = 8
3. Solve for y:
14 − 6y + 4y = 8
14 − 2y = 8
−2y = −6
y = 3
4. Substitute y into either original equation: x = 7 − 3(3)
5. Write the solution as an ordered pair:
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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Points A, B, and C are located on a circle, and chords exist between all three points. If the measure of ∠BAC is 88°, what is the measure of BC?
The measure of the central angle of the circle BC = 176°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the three points be represented as A, B and C
Now , the measure of angle ∠BAC = 88°
And , the measure of the central angle is given by
Central Angle = 2 x Angle in other segment
On simplifying the equation , we get
The measure of central angle BC = 2 x 88°
The measure of central angle BC = 176°
Hence , the measure of central angle is 176°
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HELPPPP!!!!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each given function with the description of its graph.
Answer:
y = 2(1/2)^x --> Second choice
y = (1/4)^x --> First choice
y = 3^x --> Third choice
Step-by-step explanation:
Take a look at the images uploaded for the reasons why.
y = 2(1/2)ˣ is y intercept (0,2) second choice, y = (1/4)ˣ is y intercept (0,1) first choice, y = 3ˣ is y intercept (0,1), fourth choice.
Let's break down each of the given exponential functions and understand their y-intercepts:
y = 2(1/2)ˣ :
When x = 0, the value of (1/2)ˣ is 1, since any number raised to the power of 0 is 1. Therefore, y = 2 * 1 = 2 when x = 0. This gives us the y-intercept (0, 2).
y = (1/4)ˣ :
Similarly, when x = 0, the value of (1/4)ˣ is 1, since any number raised to the power of 0 is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).
y = 3ˣ :
Again, when x = 0, the value of 3ˣ is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).
The y-intercept is the point where the graph of the function intersects the y-axis, which occurs when x is zero. In all three cases, when x = 0, the exponent becomes zero, resulting in the base being raised to the power of zero, which is always equal to 1. The graph is given below.
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Given a point A(-2,5), find the coordinates of a point B so that the line segment AB has each slope.
a) 2/3
b) -2/3
c) 4
d) -3
e) 0
f) undefined
Step-by-step explanation:
I understand this that we need to find a point B for each of a) to f).
remember, the slope is the (y coordinate difference / x coordinate difference) when going from one point on the line to the other.
a)
the slope 2/3 means that when going to B x has to increase by 3, and y has to increase by 2.
so, B = (-2 + 3, 5 + 2) = (1, 7)
b)
-2/3 means that either x or y have to decrease and the other to increase.
e.g. x increases by 3, y decreases by 2.
so, B = (-2 + 3, 5 - 2) = (1, 3)
c)
4 stands for 4/1.
so, x increases by 1, y increases by 4.
B = (-2 + 1, 5 + 4) = (-1, 9)
d)
similar to c) -3 stands for -3/1.
and similar to b) either x or y has to decrease and the other to increase.
e.g. x increases by 1, y decreases by 3.
B = (-2 + 1, 5 - 3) = (-1, 2)
e)
that means the y difference is 0. B has the same y coordinate.
e.g. B = (3, 5)
x can be any value.
the line is a horizontal line going through y = 5 or (0, 5) on the y-axis.
f)
that means the x difference is 0. B has the same x coordinate.
e.g. B = (-2, 9)
y can be any value.
the line is a vertical line going through x = -2 or (-2, 0) on the x-axis.
In 15 minutes Frankita created 15 drawings. In 30 minutes she created 17 drawings. In 45 minutes she created 20 drawings. In 60 minutes she created 24 drawings. If Frankita continues making drawings in the same pattern, how many total drawings will Frankita have created at the end of 90 minutes?
In 90 minutes, she would have created 36 drawings.
How many total drawings will Frankita have created at the end of 90 minutes?The first step is to establish a pattern between time and the number of drawing that Frankita creates.
When the question is studied, it can be deduced that every 15 minutes the rate of increase in drawing is (previous drawing + (1 + rate of increase of previous drawing.
Drawing created in 30 minutes = 15 + 2 = 17
Drawing created in 45 minutes = 17 + ( 1 + 2) = 20
Drawing created in 60 minutes = 20 + (3 + 1 ) = 24
Drawing created in 75 minutes = 24 + (4 + 1) = 30
Drawing created in 90 minutes = 30 + (5 + 1) = 36
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Choose the best answer. the diagonals of a square bisect each other at ___ angles.
right angles. .... . . . . ......
i need help i cant find the answer to this question
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y
Answer:
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
is the que correct
Answer:
19.8x - 11.1y
Step-by-step explanation:
Given information:
Gain 25x yardsGain 0.9y yardsLose 12y yardsLose 5.2x yards"Gain" means to add the value.
"Lose" means to subtract the value.
Therefore, net yardage is:
⇒ 25x + 0.9y - 12y - 5.2x
Collect like terms:
⇒ 25x - 5.2x + 0.9y - 12y
Factor out the common variables x and y:
⇒ x(25 - 5.2) + y(0.9 - 12)
Carry out the operations in the parentheses:
⇒ x(19.8) + y(-11.1)
Therefore, the net yardage is 19.8x - 11.1y
Which equation below
represents exponential
growth?
a. y=3x^2-5
b. y = 3(2/5)^x
c. y=3(5)^x
d. y=3x-5
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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PLS HELP IM STUCK PLS
The slope of the linear function described in this problem is:
m = -3.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the line goes through points (5,3) and (8,-6). Considering that the slope is given by change in y divided by change in x, for this function, it is given by:
m = (-6 - 3)/(8 - 5) = -9/3 = -3
The slope of the linear function described in this problem is:
m = -3.
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If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system? (1 point) Group of answer choices The solution is (1, 3) The solution is x = 1 and y = 3 There is no solution There are infinitely many solutions
Solving the Question
When both sides of the equal sign are equal, there are infinite solutions.
When you are able to isolate the variable, there is only one solution.
When the equation states an untrue expression, there is no solution.
1=3 is an untrue fact. Therefore, there would be no solutions to the system.
AnswerThere is no solution
Find the total surface area of the cone in the figure. (Use π = 3.14.)
radius - 5cm, height - 12cm
Solve the initial value problem.
ds 36t(91²-7)³, s(1)=1
dt
The solution is s =
Integrate both sides.
[tex]\displaystyle \int \frac{ds}{dt} \, dt = \int 36t (9t^2 - 7)^3 \, dt[/tex]
On the right side, substitute [tex]u=9t^2-7[/tex] and [tex]du=18t\,dt[/tex], so that
[tex]\displaystyle \int 36t (9t^2 - 7)^3 \, dt = 2 \int u^3 \, du = \frac12 u^4 + C = \frac12 (9t^2 - 7)^4 + C[/tex]
Use the initial value to solve for [tex]C[/tex].
[tex]s(1) = 1 \implies 1 = \dfrac12 (9 - 7)^4 + C \implies 1 = 8 + C \implies C=-7[/tex]
Then the particular solution is
[tex]s(t) = \boxed{\dfrac12 (9t^2 - 7)^4 - 7}[/tex]
For a fundraiser, 1000 raffle tickets are sold, and the winner is chosen at random. There is only one prize, $500 in cash. You buy one ticket. What is the probability you will win the prize of $500
Answer:
1/1000 = 0.001
Step-by-step explanation:
Out of the 1000 tickets only one will be chosen. And since you only bought one ticket you would get a 1/1000 chance to get chosen. If you turn 1/1000 into a decimal you get 0.001 or 0.1%. Say if you bought 2 tickets you would get a 2/1000 chance which would be a 0.2% chance and so on.
What is the center of the ellipse x2+5y2–45=0?
Write your answer in simplified, rationalized form.
(___,___)
Answer:
Center is at (0,0)
Step-by-step explanation:
An equation of ellipse in standard form is:
[tex]\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1[/tex]
Where center is at point (h,k)
From the equation of [tex]\displaystyle{x^2+5y^2-45=0}[/tex]. First, we add 45 both sides:
[tex]\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}[/tex]
Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:
[tex]\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}[/tex]
Therefore, the center of ellipse is at (0,0) since there are no values of h and k.
A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0. 80. how much of the variance for the y scores is predicted by its relationship with x?
The amount of variance for y that is predicted by its relationship with x is 64%.
How much variance is predicted?
Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset. Variance measures the variation of a data set.
Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The greater the correlation coefficient is closer to one, the greater the linear relationship that exists between the two variables. A positive correlation occurs when the two variables move in the same direction.
Variance = (correlation coefficient²) x 100
(0.80²) x 100
0.64 x 100 = 64%
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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]
Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines? cake can be cut into equal parts.
Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines, cake can be cut into 20 equal parts.
This is further explained below.
What are gridlines?Generally, In spreadsheet software, gridlines are the light gray lines that divide the cells, rows, and columns. Gridlines are often used to maintain track of data. Gridlines are widely used in popular spreadsheet programs like Spreadsheet.
In conclusion, If the cuts can only be done along the gridlines, the cake may be divided into 20 equal pieces when cutting along the lines.
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x =
30°
xo
90°
Report a pro
Answer:
here is the answer
hope it helps u
happy to help
stay safe and healthy
step by step explanation :x=90(being adjacent angle)
now ,
x+30=180(being alternate angle)
x=180-30
x=150#
i think my answer ia wrong sorry -_-
Answer:
x=90
Step-by-step explanation:
x is on a straight line with 90 degrees (given angle measure angle)
you should do 180-90=90 to find that angle x is 90 degrees.
Find the area of the trapezoid.
Hint: Use the formula for the area of
a trapezoid given below.
A = (b₁+b2) h
Trapezoid Area
= [?] cm²
b₁ = 6 cm
1h = 7 cm
b₂
=
8 cm please explain answer in full detail
The area of the trapezoid in the given image is: 49 cm².
What is a Trapezoid?A trapezoid can be described as a quadrilateral that has four sides, whereby one pair of opposite sides are parallel to each other.
How to Find the Area of a Trapezoid?The area of a trapezoid is calculated using the formula, Area = 1/2 × (a + b) × h, where:
a and b represents lengths of the parallel sides of the trapezoid
h = height of the trapezoid.
Given the parameters for the trapezoid as:
a = 6 cm
b = 8 cm
h = 7 cm
Plug in the values into Area = 1/2 × (a + b) × h:
Area of trapezoid = 1/2 × (6 + 8) × 7
Area of trapezoid = 1/2 × (14) × 7
Area of trapezoid = 7 × 7
Area of trapezoid = 49 cm²
Thus, the area of the trapezoid in the given image is: 49 cm².
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A ________ standard deviation represents an overall wide spread of data points while a ________ standard deviation represents a closely clustered set of points.
Answers are in bold
A larger standard deviation represents an overall wide spread of data points while a smaller standard deviation represents a closely clustered set of points.
Keep in mind the standard deviation cannot be negative. A standard deviation of 0 means that every data value is the same number; hence it is the most clustered set possible. There is no upper limit on how big the standard deviation can be.
If needed, replace "larger" with "large". And if needed, replace "smaller" with "small". I think it will depend on how your teacher wants you to word it. In all honesty, I'm not very good with grammar.
A larger standard deviation represents an overall wide spread of data points while a smaller standard deviation represents a closely clustered set of points.
What is standard deviation?The term "standard deviation 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 cannot be negative, so keep that in mind. The most tightly clustered set of data is one with a standard deviation of 0, which denotes that all the data values are the same.
The size of the standard deviation has no upper bound.
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Please Help me its a math question i will give brainlist please !!! the image is attached
Answer:
D
Step-by-step explanation:
When you reflect the point it goes to point (-2,5). From that point, go 4 left and 8 down. That gets you to (-2,-3)
If Seven coins are flipped, what is the probability of obtaining at least one tail?
Answer:
7/14, so 50%
Step-by-step explanation:
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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Describe the error using mathematical vocabulary:
(3,-2) 2
++
(3, 2)
-3-2
1 2 3
(-3,-2)-2 (-3,2)
-3+
-1
Four out of 5 students passed the entrance exam. On the same trend, if 252 students got passing mark, how many students took the examination?
Answer:
315 students
Step-by-step explanation:
Based on the question, we can deduce:
[tex] \frac{4}{5} = 80percent \: passing \: rate[/tex]
Next we can find out the total number of students who sat for the examination.
80% = 252
[tex]1percent \: = \frac{252}{80} \\ 100 \: percent = \frac{252}{80} \times 100 = 315 \: students [/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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Determine the seating capacity of an auditorium with 15 rows of seats if there are 25 seats in the first row, 29 seats in the second row, 33 seats in the third row, 37 seats in the forth row, and so on
Answer:
Step-by-step explanation:
15 rows adding 4 additional seats to each. Once at end add all seats in rows together for the final answer.
1-25
2-29
3-33
4-37
5-41
6-45
7-49
8-53
9-57
10-61
11-65
12-69
13-73
14-77
15-81
Add all togther. 25+29+33+37+41+45+49+53+57+61+65+69+73+77+81=795
So there are 795 seating capacity.
