Answer:
-3
Step-by-step explanation:
(h o k)(2) means
h( k(2)).
Remember when you have a function like f(x) or g(x) or h(x) or k(x), whatever number (or expression) is inside of the parenthesis, they're telling you to use that in place of x.
What h( k(2) ) means is we're going to put k(2) into h.
Well, what's k(2)? We need to find that first. k(x) is given as the oval and arrows thing going on there. If we're looking for k(2) then 2 is being the x. Find 2 in the first oval, follow the arrow to the output which is k(2).
If x = 2, the k(2)= -2
So back to
(h o k)(2):
(h o k)(2)
= h( k(2) )
= h(-2)
Since h(x)= 3/x+1
and x is -2, we'll put -2 in place of x.
h(-2) = 3/-2+1
= 3/-1
= -3
Please help !!! Need help !!!
Answer: B. alternate interior angles.
Step-by-step explanation:
PLEASE HELP ME QUICK!! I"M BEING TIMED
Carter and Ari had $240 altogether. Ari had twice as much as Carter after Carter gave him $16. How much more money did Ari have than Carter in the beginning?
Answer: $48 more
Step-by-step explanation: We use algebra. Let c = Carter and a = Ari. C+A = 240. A+16 = 2(C-16). 2C-32 + C-16 = 240. 3C - 48 is 240. 240+48 is 288. So, C is 96 and a is 144. 144- 96 = 48 more.
Geometry: complete this proof, ASAP!
For the given diagram, it has been proved that angle A is congruent to angle B.
Given Information:
Angle A and Angle B are such that,
Ray AC ║ Ray BE
Ray AD ║ Ray BF
Proof:
Since a straight line is the shortest line connecting two points in a plane,
Extend ray AD and ray BE, such that both intersect at point G.
Now, since, angle A and angle 1 both make corresponding angles,
∠A = ∠1 .......... (1)
Ray ADG is parallel to the ray BF.
Thus, again, angle B and angle 1 make corresponding angles,
∠B = ∠1 ............ (2)
From (1) and (2), as per transitive relationship of angles,
∠A ≅ ∠B
Hence proved.
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A legend says that a tower of hanoi puzzle with 64 discs is being solved, one move per
second. how long will it take to solve this puzzle? explain how you know.
It will take 585 billion years to solve the puzzle tower of Hanoi puzzle.
What is hanoi of tower?
The Tower of Hanoi is a mathematical game or puzzle that uses three rods and a number of disks that can slide onto any rod. It is also known as The Problem of the Benares Temple, the Tower of Brahma, Lucas' Tower, or simply the pyramid puzzle. The disks are stacked on one rod at the start of the problem, the smallest at the top and roughly forming a conical shape.
Using the Tower of Hanoi as little as possible
In one version of the problem, 64 golden disks are being used by Brahmin priests to solve it.
Minimum moves required if you had 64 golden disks [tex]=2^{64}-1[/tex]
The problem would take around 585 billion years to solve if every move took a single second.
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PLS IM SO STUCK ITS MATH
Answer:
y-intecept: (0,14), x-intercept: (-8,0)
Step-by-step explanation:
Let us first solve for the y-intercept, solve the equation for y to set it to slope-intercept form.
[tex]-7x+4y=56\\4y=56+7x\\y=14+\frac{7}{4}x\\y=\frac{7}{4}x+14\\[/tex]
Now we have our y-intercept, 14
To solve for the x-intercept, all we have to do is set y to 0 and solve for x:
[tex]0=\frac{7}{4}x+14\\-14=\frac{7}{4}x\\-56=7x\\-8=x[/tex]
Therefore our x-intercept is -8.
To find the vector (x and y value) of the x intercept, we set the y value equal to 0, such as the vector of the x-intercept is equal to (-8,0).
For the y-intercept we follow a similar approach setting the x-value equal to 0, making it (0,14)
Can someone help me with this question?
Answer:
25/81.
Step-by-step explanation:
(27/8)^-4/3
= 8^4/3 / 27^4/3
= (∛8)^4 / (∛27)^4
= 16 / 81
(64/125)^-2/3
= (125)^2/3 / (64)^2/3
= (∛125)^2 / (∛64)^2
= 5^2 / 4^2
= 25/16
So the answer is
16/81 * 25/16
= 25/81.
Answer:
25 / 81(25 by 81) is your answer.
The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:
A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October
Part A: Using computer software, a correlation coefficient of r = 0.51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)
Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)
Question 4 (Essay Worth 10 points)
(05.07 HC)
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
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FDK121.12
The correlation coefficient of r = 0.51 shows that it's an accurate value for this data.
A scenario that would be a causal relationship can be the quantity of fertilizer used vs kg of pumpkins picked on the farm
There is a correlation between the number of hours of sunlight that a plant receives and the height to which it grows.
The function that best fits the data is y = 3x + 4.
The y-intercept indicates that the plant started at 4cm and the slope shows that with each hour of sunlight, the plant grows 3 inches.
What is a Scatter Plot?The association between two variables that are correlated can be shown by a scatter plot which has a trendline along which the data points are located.
A correlation coefficient of r = 0.51 is accurate based on the scatter plot given. If the trendline slopes upwards from the left to the right, it shows a positive correlation and vice versa.
A scenario that would be a causal relationship can be the quantity of fertilizer used vs kg of pumpkins picked on the farm.
There is a direct correlation between the number of hours of sunlight that a plant receives and the height to which it grows. This can be seen through the growth in the plant.
The function is y = 3x + 4
When x = 0, y = 3(0) + 4 = 4.
In conclusion, y-intercept indicates that the plant started at 4cm and the slope shows that with each hour of sunlight, the plant grows 3 inches.
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Solve the compound inequality. 5x – 11 < –11 or 4x + 2 > 14
Answer:
5x-11<-11
group like terms
5x<11+11
5x<22
divide both sides by 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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What is the domain of the following points? Group of answer choices {-4, 1, 4} {-4, -1, 1, 4} {-1, 4, 1} {1, 4}
The domain of the relation shown in the graph is -4 <= x <= 4
How to determine the domain of the relation shown in the graph?The complete question is added as an attachment
The relation on the graph is an ellipse function.
The domain is the set of x values the function can take
From the graph, we have the following x values
This means that the domain of x in the graph is -4 <= x <= 4
Hence, the domain of the relation shown in the graph is -4 <= x <= 4
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Order the steps needed to factor - 12a^3b^2 + 18a^2b
Answer:
12a^3b^2+18a^2b
Step-by-step explanation:
12 3b2+182b
The following dot plot shows the number of players at each table in Bill's Bingo Hall. Each dot represents a different table.
A dot plot has a horizontal axis labeled, Number of players, marked from 0 to 8, in increments of 1. The number of dots above each value is as follows. 0, 2; 1, 2; 2, 2; 3, 5; 4, 2; 5, 1; 7, 1.
A dot plot has a horizontal axis labeled, Number of players, marked from 0 to 8, in increments of 1. The number of dots above each value is as follows. 0, 2; 1, 2; 2, 2; 3, 5; 4, 2; 5, 1; 7, 1.
What is the lowest number of players at a table?
players
The lowest number of people at a table is 0.
What is the lowest number of people at a table?A dot plot is a graph that is used to represent the frequency of a data set. The dots in a dot plot represent the frequency of a number. The greater the height of a number, the higher its frequency. A dot plot is also known as a strip plot or a dot chart.
Looking at the dot plot, it can be seen that there are two dots above 2. This means that at two tables there was no one there.
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On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 2, 0), and a directrix at x = 2.
Which equation represents the parabola shown on the graph?
y2 = –2x
y2 = –8x
x2 = –2y
x2 = –8y
The equation represents the parabola shown on the graph is x^2 = - 8y . Option D
How to determine the equationWe were given the following parameters;
Vertex ( 0, 0 )Focus ( -2, 0)Directrix , at x = 2The standard for a parabola is given as;
y² = 4ax
It can also be written as;
x² = 4ay
Given the focus as ( -2, 0), we have the value of 'a' to be -2
Now, let's substitute the value into the standard equation of a parabola
x^2 = 4ay
x^2= 4 × -2 × y
Multiply through
x^2 = - 8y
The equation of the parabola is x^2 = - 8y
Thus, the equation represents the parabola shown on the graph is x^2 = - 8y . Option D
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Answer:
b
Step-by-step explanation:
trust
How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach? original (l) added (l) new (l) amount of bleach 2.52 0 amount of solution 18 x 1.8 liters 7.2 liters 15.5 liters 25.2 liters
18 liters of 14% bleach contains 0.14×18 = 2.52 liters of bleach.
Adding [tex]x[/tex] liters of pure water to the solution increases the total volume to [tex]18+x[/tex] liters without changing the total amount of bleach.
To end up with a 10% bleach solution, we must add
[tex]\dfrac{2.52}{18+x} = 0.10 \implies 2.52 = 1.8 + 0.10x \implies 0.10x = 0.72 \implies x=\boxed{7.2}[/tex]
liters of water.
Answer:
b
Step-by-step explanation:
Need help! Someone please help!!!
Answer:
B. Ounces of water consumed compared with the number of same-size bottles dr*nk
Step-by-step explanation:
A constant rate of change means that the two values should be linear. Let's analyze why the other three options are wrong:
A. The distance between different airports can be very different (i.e the distance between Airport 1 and Airport 2 is 20 km and the distance between Airport 2 and Airport 3 is 500 km), meaning that the distance the airplane travels and the number of airports it visits are not linear.
C. Similar to A, the point scored in different quarters can be very different (i.e. 0 points scored in the 1st quarter, 35 points scored in the 2nd quarter, etc.)
D. Similarly, the number of fish in a pond can either be very large or very small, even if the volume of the pond stays the same
B is correct because the bottles are the same size, meaning that if you drink x bottles of 2-ounce bottles, you will always drink 2x ounces of water, no matter what, creating a linear function.
-(2021.0,7+19,75)+2021.0,7-(8-19,75)
Answer: -8.
Step-by-step explanation:
-(2021.0,7+19,75)+2021.0,7-(8-19,75)=-2021.0,7-19,75+2021.0,7-8+19,75=-8.
Use the figure to the right to identify each pair of angles as alternate exterior,
alternate interior, consecutive interior, or corresponding.
7. ∠I and ∠M are corresponding angles.
8. ∠J and ∠P are alternate exterior angles.
9. ∠K and ∠M are alternate interior angles.
10. ∠L and ∠M are consecutive interior angles..
11. ∠I and ∠O are alternate exterior angles.
12. 7. ∠K and ∠O are corresponding angles.
What are Alternate Exterior Angles?Angles that are formed outside the parallel lines that are intersected by a transversal and lie alternate to each other on along the transversal are alternate exterior angles.
What are Alternate Interior Angles?
Angles that are formed inside of the parallel lines that are intersected by a transversal and lie alternate to each other on along the transversal are alternate interior angles.
What are Consecutive Interior Angles?
Angles that are formed inside of the parallel lines that are intersected by a transversal and lie on the same side of the the transversal are consecutive interior angles.
What are Corresponding Angles?
Angles that are formed in relative corner position on each of the parallel lines that are intersected by a transversal and lie along the transversal in the same side are called corresponding angles.
Thus, from the image given, we have the following special angles:
7. ∠I and ∠M are corresponding angles.
8. ∠J and ∠P are alternate exterior angles.
9. ∠K and ∠M are alternate interior angles.
10. ∠L and ∠M are consecutive interior angles..
11. ∠I and ∠O are alternate exterior angles.
12. 7. ∠K and ∠O are corresponding angles.
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which of the tables represent a function??
please help me! asap!
With another study, where you also plan on evaluating a mean using the t statistic, you have a sample of n = 21 that has an ss of 500. what is the variance for the sample? 22. 36 250,000 25 5. 0
The variance for the sample is 25
For given question,
We have been given the sample size n = 21
and the sum of squares is SS = 500
We need to find the variance for the sample.
We know that the variance is mathematically represented as,
[tex]\sigma^2=\frac{SS}{n-1}[/tex]
Substituting given values in the above formula,
[tex]\Rightarrow \sigma^2\\\\=\frac{500}{21-1}[/tex]
= 500 / 20
= 25
So, the variance is 25
Therefore, the variance for the sample is 25
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BRAINLIEST !! Evaluate the following fractions giving your awnser in its simplest form.
a) 2/5 divided by 6
b) 3 and 1/3 times 5 and 2/5
c) 1/4+1/3-1/2
Answer:
question no c 0•08
Step-by-step explanation:
at first
1/4+1/3-1/2
0•25+0.33-0.50
0.58-0.50
0.08 answer
what is the area
please help me
The area and perimeter of the picture is 576 inches square and 96 inches respectively
How to determine the area
Given that each frame is a rectangle and four frames makes up the picture
Note that the picture takes the shape of a square
Let's find the total perimeter
Perimeter of the picture = sum of the four rectangular frame perimeters
Perimeter = 24 + 24 + 24 + 24
Perimeter = 96 inches
Formula for area of a square = a^2
Where 'a' is the length of the side = 24 inches
Substitute the value of 'a'
Area of the picture = 24^2
Area of the picture = 576 inches square
Thus, the area and perimeter of the picture is 576 inches square and 96 inches respectively.
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The high school athletics department is installing a new rectangular addition to their current practice field. the length of the new addition will be at least 10 meters more than twice the width of the new addition. the original field has an area of 300 square meters. the area of the entire practice field, with the addition, must be no more than 1,200 square meters. if a represents the area of the entire practice field, including the new addition, and x represents the width of the new addition, in meters, which system of inequalities can be used to represent this situation?
The system of inequalities that best describes this situation provided A represents the area in which the entire field exists:
[tex]$\left \{ {{A \geq x^{2} +10x+300} \atop {A \leq 1200}} \right.[/tex]
What are word problems?Word problems in mathematics exist methods we can utilize variables, algebra notations, and arithmetic operations to solve real-life cases.
We have a new addition to the current rectangular field,
Let that new addition to the current rectangular field be x
Length of the new addition = 10x
Twice the width of the new addition = 2x²
Original area of the field = 300
From the above information, we can derive a quadratic equation:
2x² + 10x + 300
Also, we exist given a constraint that the total area of the practice field should be no more than 1200.
It can be less than 1200 or equivalent to 1200.
Therefore, the system of inequalities that best describes this situation provided A represents the area in which the entire field exists:
[tex]$\left \{ {{A \geq x^{2} +10x+300} \atop {A \leq 1200}} \right.[/tex]
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kelvin pumped 15.2 gallons of gas into his car. if he paid 59.13 for the total amount of gas, what was the rate per gallon that kelvin paid
Answer:
3.89
Step-by-step explanation:
if 15.2 gallons cost 59.13.What about 1
then we just divide 59.13 by 15.2 to get the cost of 1 gallon
A substance decays so that the amount a of the substance left after t years is given by: a = a0 • (0.7)t, where a0 is the original amount of the substance. what is the half-life (the amount of time that it takes to decay to half the original amount) of this substance, rounded to the nearest tenth of a year?
The half-life of the substance is 1.94 years.
What is exponential decay formula?The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a [tex](1-r)^{x}[/tex] is the general form.
Here
a = the initial amount of substance
1-r is the decay rate
x = time span
The correct form of the equation is given as:
[tex]a=a_{0}[/tex]×[tex](0.7)^{t}[/tex]
where t is an exponent of 0.7 since this is an exponential decay of 1st order reaction
Now to solve for the half life, this is the time t in which the amount left is half of the original amount, therefore that is when:
a = 0.5 a0
Substituting this into the equation:
0.5 [tex]a_{0}=a_{0}[/tex]×[tex](0.7)^{t}[/tex]
0.5 = [tex](0.7)^{t}[/tex]
Taking the log of both sides:
t log 0.7 = log 0.5
t = log 0.5 / log 0.7
t = 1.94 years
The half life of the substance is 1.94 years.
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What type of polynomial is: 3x^4 - 2x^3 - 2
This polynomial has only 3 terms, so it is a trinomial. Hope it helps!
Find the circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j , 0 ≤ t ≤ 2π
The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is 2π ∫₀ (cos t sin t - sin t cos tj)dt = 0
Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.
The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.
r (t) = cost i + sin t j = dr( sin ti + cos t)dt
F = -xi -yj = -costi - sin tj
Flux = F .dr = [tex]\int\limit2n^0_b {-costi - sin tj} \, dx[/tex]j)-( sin ti + cos t)dt
[tex]\int\limit2n^0_b {-costi - sin tj} \, dx[/tex] -( sin ti + cos t)dt
2π ∫₀ (cos t sin t - sin t cos tj)dt = 0
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Find the midpoint between the pair of points.
(-4, 10) and (14, 0)
Answer:
( 5 , 5 )
Step-by-step explanation:
→ Add 2 the x coordinates together
- 4 + 14 = 10
→ Divide answer by 2
10 ÷ 2 = 5
→ Add the 2 y coordinates together
10 + 0 = 10
→ Divide answer by 2
10 ÷ 2 = 5
Answer:
(5, 5 )
Step-by-step explanation:
given points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (- 4, 10 ) and (x₂, y₂ ) = (14, 0 ) , then
midpoint = ( [tex]\frac{-4+14}{2}[/tex] , [tex]\frac{10+0}{2}[/tex] ) = ( [tex]\frac{10}{2}[/tex] , [tex]\frac{10}{2}[/tex] ) = ( 5, 5 )
Graph Y +2 equals - 3/4(x+4)
The graph is shown in the attached image.
Talia buys a 6-ounce container of macadamia nuts for $5.94 what is the unit price per ounce?
Answer:
$0.99 or 99 cents
Step-by-step explanation:
Since 6 ounces is worth $5.94, divide 5.94 by 6 to get the unit price. This is $0.99 or 99 cents.
20. In the figure at right, ABDC lies in plane k and AD IDC.
AD is definitely perpendicular to k if which of the following is true?
(A) BDLDC (B) ADBC=AABC (C) ADBC is isosceles
(D) ADAB is similar to ADAC (E) none of these
The option that's true about the plane illustrated is E. None of these.
How to illustrate the plane?From the information given, it should be noted that DBC isn't an isosceles triangle.
Also, from the figure, one can see that DAB isn't similar to DAC.
Likewise, BD and DC aren't perpendicular.
In conclusion, the correct option is E.
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