1. First two pictures below.
2.Both of them have large clusters that are a couple spaces away. The range is greater with June 2013.
3. Second two pictures below. The third pic is June 1985 and fourth is June 2013.
4. The spread is smaller for June 1985. The boxes are seem to have the same proximity to each other which shows a tight center between the two box plots.
May be to late, but I'll post my answers to your questions anyway :)
Final answer:
Without specific temperature data, we cannot create the comparative dot plots and box plots requested by the student. Instructions have been provided on how to create and analyze them once the data is available.
Explanation:
To answer the student's question about comparing the high temperatures for Dallas, Texas in June 1985 and June 2013 using comparative dot plots and comparative box plots, we first need the individual temperature data for each June to create these graphs. Unfortunately, without the specific data, we are unable to create the plots.
However, we can discuss how to approach this problem. To create a comparative dot plot, you would list the temperatures for each data set on a horizontal line, each set represented by dots. Then, assess the degree of overlap by visually inspecting where the dots from both data sets lie in relation to each other. Compare their shapes, centers, and spreads by observing the clustering of the dots, the location of the “middle” of the dots, and how far the dots extend out from the center.
For the comparative box plot, you would draw two box plots on the same axis. A box plot displays the minimum, first quartile, median (or second quartile), third quartile, and maximum. Assess the degree of overlap by comparing where the boxes and whiskers of the plots are positioned in relation to each other, again paying attention to the centers (medians), spreads (interquartile ranges), as well as the overall range of data. Both types of plots can help ascertain whether the high temperature in June of each year was significantly different from the other, and how each year's temperatures compare to the historical average.
PLEASE HELP!!!!!! 10 POINTS
A highway speed monitor is located on the side of the road that has a speed limit of 45 mph. The system records the speeds of passing vehicles. The data below shows the speeds of the first 9 cars that pass.
46 56 45 44 45 61 55 53 39
What is the standard deviation, to the nearest tenth, based on the posted speed limit, 45 mph? ___________.
The tenth car traveling on this road breaks down and is being pushed by its owners as it passes the speed monitor. A speed of 1.5 mph is recorded. The measure of central tendency most affected by this tenth speed is the ____________.
What is the new standard deviation, to the nearest tenth, after the tenth speed is recorded? __________.
you need to find the mean on these numbers that is step one in finding standard deviation. so this is 44.2. now you need to subtract the mean from each number and square the result. after that step you now have these numbers.... 3.24, 139.24, .64, .4,.64,282.24,116.64,77.44,27.04. now the next step is to find the mean of these numbers. you get 71.9 appx.. now all you do is square root this number you get 8.5 when you round to the nearest thenth
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina's cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
Answer:
0.5 hour
Step-by-step explanation:
Given
Speed of Dina = 10 km/h
Distance = 20 km
So the time Dina taken to complete the track is:
[tex]Speed=\frac{distance}{time}\\10=\frac{20}{time}\\time=\frac{20}{10}\\ time=2\ hours[/tex]
The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,
her distance covered in 2 hours was:
[tex]Distance\ covered\ by\ Masha\ in\ 2\ hours=20-4\\=16 km[/tex]
So we know the time and distance:
Now,
[tex]Speed\ of\ Masha=\frac{distance}{time}\\ =\frac{16}{2}\\ =8\ kilometer\ per\ hour[/tex]
We have to calculate the time that will be needed by MAsha to complete the track:
As we know the speed and remaining distance
[tex]Speed=\frac{distance}{time}\\8=\frac{4}{time}\\ time=\frac{4}{8}\\time=0.5\ hours[/tex]
Masha needs 0.5 hour to complete the track ..
Answer:
30 minutes
Step-by-step explanation:
5^12 ÷ 5^4 = _____
A) 5^3
B)5^8
C) 5^16
The answer is:
The correct option is:
B) [tex]5^{12}\div5^{4}=5^{8}[/tex]
Why?To solve the problem, we need to remember the quotient of power property, it's defined by the following relation:
[tex]\frac{a^{m} }{a^{n} }=a^{m-n}[/tex]
If we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.
So, we are given the expression:
[tex]5^{12}\div5^{4}[/tex]
Which is equal to write:
[tex]\frac{5^{12} }{5^{4}}[/tex]
Then, calculating we have:
[tex]\frac{5^{12} }{5^{4}}=5^{12-4}=5^{8}[/tex]
Hence, the answer is:
B) [tex]\frac{5^{12} }{5^{4}}=5^{8}[/tex]
or
[tex]5^{12}\div5^{4}=5^{8}[/tex]
Have a nice day!
Answer:
The correct answer is option B. 5^8
Step-by-step explanation:
Points to remember
Identities
xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾
xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾
x⁻ᵃ = 1/xᵃ
To find the correct option
It is given an expression, 5^12 ÷ 5^4
⇒ 5¹²/5⁴
By using identities we can write,
5¹²/5⁴ = 5⁽¹² ⁻ ⁴⁾
= 5⁸
Therefore the correct answer is option B. 5^8
Which statement about the function f(x)=x(x – 3)(x – 2) is true?
It has no horizontal asymptote.
It does not cross the horizontal asymptote.
It crosses the horizontal asymptote at the origin.
It has one vertical asymptote.
Answer:
It has no horizontal asymptote
Step-by-step explanation:
It has no horizontal asymptote. This is a cubic function which has the end behavior of the left tail down and the right tail up, so both the domain and the range are infinity. That means that there is no horizontal asymptote to go through. Because it is not a rational function, there are no vertical asymptotes that could make the denominator go to 0 since there is no denominator (not rational).
Answer:
C,
It crosses the horizontal asymptote at the origin.
Step-by-step explanation:
Plato
PLSSS HELPPP A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the game, he has two opportunities for a two-point conversion. He misses the first attempt 50% of the time. When he misses the first attempt, he misses the second attempt 15% of the time. What is the probability of missing both two-point conversion attempts?
Answer:
The probability of missing both two-point conversion attempts is 7.5%
Step-by-step explanation:
We are informed that the probability of missing the first attempt is 50% of the time. Furthermore, the probability of missing on the second attempt given that he missed the first attempt is 15% of the time
Now,the probability of missing on both the two-point conversion attempts will simply be given by the product of these two probabilities since the events are independent;
50%*15% = 0.5 * 0.15 = 7.5%
Therefore, the probability of missing both two-point conversion attempts is 7.5%
Answer:
The probability of missing both two-point conversion attempts is 7.5%
Step-by-step explanation:
^^
Peter and his four brothers combined all of their money to buy a video game. If 20% of the total money is Peter's, and $4.00 of the total money is Peter's, how much do all five brothers have combined?
Given that Peter contributes 20% of the total money and his part is $4.00, it is deduced that the total combined amount the five brothers have is $20.00.
To solve this, we can set up a simple proportion where 20% (or 0.20 in decimal form) of the total amount is equal to $4.00.
Step-by-Step Solution:
Let x represent the total combined amount of money that Peter and his brothers have.
Since Peter contributes 20% of the total, we can express this as 0.20 imes x = $4.00.
To find x, we divide both sides of the equation by 0.20, giving us x = $4.00 / 0.20.
By performing the division, we find that x = $20.00.
Therefore, the total combined amount Peter and his brothers have is $20.00.
What is the scale factor ABC to XYZ???
Answer:
A) 6
Step-by-step explanation:
This would be your best answer.
Find the values of the 30th and 90th percentiles of the data. Please show your work.
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
Answer:
30th percentile:109
90th percentile: 188
Step-by-step explanation:
The given data set is:
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
We arrange the data set in ascending order to obtain;
Array= [tex]100,100,105,113,129,132,146,176,200[/tex]
The 30th percentile is located at
[tex](\frac{30}{100}\times 10 )}[/tex] -th position, where n=10 is the number of items in the data set
This implies that the 30th percentile is at the 3rd position.
Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;
This implies that the 30th percentile = [tex]\frac{105+113}{2}=\frac{218}{2}=109[/tex]
The 90th percentile is located at
[tex](\frac{90}{100}\times 10 )}[/tex] -th position, where n=10 is the number of items in the data set
This implies that the 90th percentile is at the 9th position.
Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;
This implies that the 90th percentile = [tex]\frac{176+200}{2}=\frac{376}{2}=188[/tex]
What is m∠A ? Enter your answer in the box.
Answer:
The measure of angle A is 115°
Step-by-step explanation:
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
∠C+∠A+∠B=180°
substitute values and solve for x
x°+(3x-35)°+(x-35)°=180°
5x°=180°+70°
x=250°/5=50°
Find the measure of angle A
∠A=(3x-35)°
substitute the value of x
∠A=(3(50)-35)=115°
Answer:
[tex]m\angle A=115\degree[/tex]
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees.
[tex]\implies (x-35)\degree+x+(3x-35)\degree=180\degree[/tex]
[tex]\implies 5x-70\degree=180\degree[/tex]
[tex]\implies 5x=180+70[/tex]
[tex]\implies 5x=250[/tex]
Divide both sides by 5.
[tex]\implies x=50[/tex]
We substitute the value of angle A to obtain:
[tex]m\angle A=3(50)-35[/tex]
[tex]m\angle A=115\degree[/tex]
Daryl's Oreo factory is able to produce 3/4 tons of Oreos in 1 1/2 weeks. At this rate, how long will it take to produce 2
tons of Oreos?
[tex]\bf \begin{array}{ccll} tons&weeks\\ \cline{1-2}\\ \frac{3}{4}&1\frac{1}{2}\\\\ 2&x \end{array}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~1\frac{1}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~\frac{3}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{\frac{2}{1}}=\cfrac{~~\frac{3}{2}~~}{\frac{x}{1}} \\\\\\ \cfrac{3}{4}\cdot \cfrac{1}{2}=\cfrac{3}{2}\cdot \cfrac{1}{x}\implies \cfrac{3}{8}=\cfrac{3}{2x}\implies 6x=24\implies x=\cfrac{24}{6}\implies x=4[/tex]
PLEASE HELP!!
In isosceles △ABC, AB = BC and CH is an altitude. Find the perimeter of △ABC, if CH = 84 cm and m∠HBC = m∠BAC +m∠BCH?
Answer:
I think I could help you
Have fun and feel free to ask me something new.
Or we can prove some properities without calculating by details
Step-by-step explanation:
I think I could help you
Have fun and feel free to ask me something new.
Or we can prove some properities without calculating by details
Answer: The perimeter of triangle ABC is (112√3 + 168) cm.
Step-by-step explanation: Given that in isosceles triangle △ABC, AB = BC and CH is an altitude. Also,
CH = 84 cm and
[tex]m\angle HBC = m\angle BAC+m\angle BCH~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the perimeter of triangle ABC
Since AB = BC, so the angles opposite to them are congruent and have equal measures.
That is, [tex]m\angle BAC=m\angle ACB~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Now, since angle HBC is an exterior angle of triangle ABC and triangles BAC and ACB are remote interior angles.
So, we have
[tex]m\angle HBC=m\angle BAC+m\angle ACB\\\\\Rightarrow m\angle BAC+m\angle BCH=m\angle BAC+m\angle ACB\\\\\Rightarrow m\angle ACB=m\angle BCH.[/tex]
Therefore, from equation (i) implies that
[tex]m\angle HBC = m\angle BAC+m\angle BCH\\\\\Rightarrow m\angle HBC=m\angle BCH+m\angle BCH~~~~~~~[\textup{applying equations (ii) and (iii)}]\\\\\Rightarrow m\angle HBC=2m\angle BCH.[/tex]
Now, from angle sum property in triangle BCH, we have
[tex]m\angle HBC+m\angle BCH+m\angle BHC=180^\circ\\\\\Rightarrow 3m\angle BCH+90^\circ=180^\circ\\\\\Rightarrow 3m\angle BCH=90^\circ\\\\\Rightarrow m\angle BCH=30^\circ.[/tex]
So, we get
[tex]m\angle BAC=m\angle ACB=m\angle BCH=30^\circ,\\\\m\angle HBC=2\times30^\circ=60^\circ.[/tex]
In right-angled triangle ACH, we have
[tex]\tan 30^\circ=\dfrac{CH}{AH}\\\\\\\Rightarrow \dfrac{1}{\sqrt3}=\dfrac{84}{AH}\\\\\\\Rightarrow AH=84\sqrt3.[/tex]
In right-angled triangle BCH, we have
[tex]\tan 60^\circ=\dfrac{CH}{BH}\\\\\\\Rightarrow \sqrt3=\dfrac{84}{BH}\\\\\\\Rightarrow BH=\dfrac{84}{\sqrt3}.[/tex]
And,
[tex]\sin 60^\circ=\dfrac{CH}{BC}\\\\\\\Rightarrow \dfrac{\sqrt3}{2}=\dfrac{84}{BC}\\\\\\\Rightarrow BC==\dfrac{168}{\sqrt3}=56\sqrt3.[/tex]
Therefore,
[tex]AB=AH-BH=84\sqrt3-\dfrac{84}{\sqrt3}=\sqrt3(84-28)=56\sqrt3.[/tex]
Now, in triangle ACH,
[tex]\sin 30^\circ=\dfrac{CH}{AC}\\\\\\\Rightarrow \dfrac{1}{2}=\dfrac{84}{AC}\\\\\Rightarrow AC=168.[/tex]
Thus, the perimeter of triangle ABC is given by
[tex]P=AB+BC+CA=56\sqrt3+56\sqrt3+168=112\sqrt3+168.[/tex]
The perimeter of triangle ABC is (112√3 + 168) cm.
which are differences of perfect cubes? Check all that apply. 9a3 – 27 125a12 – 72 216a6 – 27y3 8a15 – 27 225a3 – 216
ANSWER
The correct choices are:
[tex] {8a}^{15} - 27[/tex]
and
[tex]216 {a}^{6} - 27 {y}^{3} [/tex]
EXPLANATION
A difference of perfect cube is of the form:
[tex] {(m)}^{3} - {(n)}^{3} [/tex]
We can rewrite
[tex]216 {a}^{6} - 27 {y}^{3} [/tex]
Try rewriting the terms as powers to an exponent of 3.
[tex]216 {a}^{6} - 27 {y}^{3} = {6}^{3}( {a}^{2})^{3} - {3}^{3} {y}^{3} [/tex]
This implies that:
[tex]216 {a}^{6} - 27 {y}^{3} = ( 6 {a}^{2})^{3} - {(3y)}^{3} [/tex]
Hence this is a difference of perfect cube.
Also, we can rewrite
[tex] {8a}^{15} - 27[/tex]
as
[tex]{8a}^{15} - 27 = {2}^{3} ( {a}^{5})^{3} - {3}^{3} [/tex]
[tex]{8a}^{15} - 27= {(2{a}^{5})}^{3} - {3}^{3} [/tex]
Given a polynomial f(x), if (x − 2) is a factor, what else must be true?
A. f(0) = 2
B. f(0) = −2
C. f(−2) = 0
D. f(2) = 0
Answer:
D. f(2) = 0
Step-by-step explanation:
If x-2 is a factor of a function, then f(2) must be zero
f(x) = p(x) * (x-2) since (x-2) is a factor of f(x)
Substitute in x=2
f(2) = p(2) (2-2)
f(2) = p(2) *(0)
Anything times 0 = 0
f(2) = 0
Please please help me out
Answer:
$0.84
Step-by-step explanation:
The expected value of target A = 12% of $7
12% = [tex]\frac{12}{100}[/tex] = 0.12
expected value of A = 0.12 × $7 = $0.84
Identify the volume and surface area of the hemisphere in terms of π. HELP ASAP!!
Answer:
D
Step-by-step explanation:
Use the formula for the SA of a hemisphere.
[tex]SA=2\pi r^2[/tex]
Now we can find the radius of the hemisphere, which is 15.
Then, we can square that and multiply it by 2 to get 450.
Now, let's use the formula for the Volume of a hemisphere.
[tex]V=\frac{2\pi r^3}{3}[/tex]
Now we can cube 15 and multiply it by 2 to get 6750.
Then we can divide this number by 3.
2250.
So the answer is D.
Each of
6
students reported the number of movies they saw in the past year. This is what they reported:
6, 8, 16, 7, 19, 20
Find the mean and median number of movies that the students saw.
The median is 12.
The arithmetic mean is 12.7
The geometric mean is 11.3
which is the polar form of the parametric equations x=4t and y=t^2?
a. r= 16 tan (theta) sec (theta)
b. r= 16 tan^2 (theta)
c. r= 16 sec^2 (theta)
d. r= 16 sec (theta)
Answer: r=16tan theta sec theta
Step-by-step explanation:
I have this question on my test but all the answers are different except that one
The polar form of the parametric equation is option (A), r = 16 tan theta sec theta is the correct answer.
What is a polar from?Polar form of a complex number is represented by a line whose length is the amplitude and by the phase angle. A polar form of a vector is denoted by ( , ) , where represents the distance from the origin and represents the angle measured from the -axis.
Given the parametric equations x=4t and y=t².
Consider x= 4t
⇒ t = x/4
Now substitute t in y equation,
[tex]y= (\frac{x}{4} )^2[/tex]
[tex]y=\frac{x^2}{16}[/tex]
We know that in polar form,
x= r cosθ and y= r sinθ
Now y becomes
r sinθ= [tex]\frac{r^2\cos^2\theta}{16}[/tex]
16 r sin θ = r² cos²θ
r = 16 sinθ/cos²θ
⇒r =16 tanθ secθ
Hence we can conclude that the polar form of the parametric equation is option (A), r = 16 tan theta sec theta is the correct answer.
Learn more about the polar form here:
brainly.com/question/2272407
#SPJ2
A sporting goods store received an order of 80 baseball caps, of which 12 were green. If 1 of the 80 caps is selected at random, what is the probability it will NOT be green?
15%
68%
85%
88%
Answer:
85%
Step-by-step explanation:
If the sporting goods store received a lot of 80 baseball caps... and 12 of them were green that means that 68 (80-12) were NOT green.
Thus, the probably to randomly pick up a cap that is NOT green is 68 out of 80...
68/80 = 17/20 = 85%
Padma also pays for a subscription to a sports channel.Yhe channel cost $132 for a year.How much does Padma pay for the sports channel per month? How much does Padma pay each month for the sports channel and the magazine combined?
Answer:
Padma pays $11 dollars a month for the sports channel. I do not see the question for the magazine:(
Step-by-step explanation:
Please please help me
To work this out, you find out how many triangles can fit into the shape.
To do this, you take the number of sides and subtract it by 2.
So in a polygon with 11 sides, there are:
9 triangles (11 - 2 = 9)
Remember, the total number of angles in one triangle is 180 degrees.
So to work out the total number of angles in a polygon, you multiply the number of triangles in it by 180.
So the total sum of interior angles in a polygon with 11 sides is:
180 x 9 = 1620 degrees (180 degrees times number of triangles)
-------------------------------------------------------------
Answer:
1620 degrees
HELP PLEASE! I’m having a hard time answering this.
Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 16.5 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70*. Will the ladder be safe at this height? Show work.
The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.
Thus, the ladder will not be safe for its height and therefore won't make sense.
What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4
Answer:
Required logarithmic function is :
[tex]f\left(x\right)=\log_3\left(x\right)[/tex]
Step-by-step explanation:
We have been fiven that table for the logarithmic function is:
x f(x)
9 2
27 3
81 4
which can be rewritten as:
x f(x)
3^2 2
3^3 3
3^4 4
Which are basically powers of 3
So we can use logarithmic function as
[tex]\log_3\left(9\right)=\log_3\left(3^2\right)=2\log_3\left(3\right)=2(1)=2[/tex]
Hence required logarithmic function is :
[tex]f\left(x\right)=\log_3\left(x\right)[/tex]
There are 14 students making sculptures with craft sticks. There are 644 craft sticks in a box. Each student gets an equal number of craft sticks. Explain each step needed to determine the maximum number of craft sticks that each student can get.
Answer:
46 craft sticks per student
Step-by-step explanation:
The simplest situation would be that in which the available 644 craft sticks are evenly divisible by the number of students receiving them. If that's the case, all we have to do is to divide:
644 craft sticks
----------------------- = 46 craft sticks per student
14 students
Given that (0,7) is on the graph of f(x), find the corresponding point for the function f(x+2).
Answer: The point is (-2, 7)
Step-by-step explanation:
If we have a function f(x) and we apply the transformation
[tex]y = f (x + h)[/tex] then ::
If [tex]h <0[/tex] the graph of f(x) moves horizontally h units to the right
If [tex]h> 0[/tex] the grace of f(x) moves horizontally h units to the left
In this case we have the function f(x) and the point (0,7) and the transformation [tex]y = f (x + 2)[/tex]
Then [tex]h = 2> 0[/tex]. Therefore the graph of f(x) moves 2 units towards the left.
Therefore the point (0,7) moves 2 units to the left and we have the point (-2, 7) in the transformed function
How many different strings can be formed by rearranging the letters in the word troposphere?
Step-by-step explanation:
The letters of the word troposphere can be sorted to be:
ee h oo pp rr s t
with 7 distinct letters of which 4 are in pairs for a total of 11 letters.
The number of words that can be formed from n distinct letters
= n!/(1!1!1!....1!) [n times in the denominator]
The number of words that can be formed from n letters of which 2 are duplicated and the rest distinct is
= n!/(2!1!1!....1!) [n-1 times 1!]
Similarly, the number of words that can be formed from 11 letters, of which there are 4 pairs of duplicated letters is
N=11! / (2!2!2!2!1!1!1!)
= 39916800 / (2*2*2*2*1*1*1)
= 2494800
Use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)x−5 + 8. You may wish to graph it and its parent function, y = 0.5x, on the same axes. The parent function y = 0.5x is across its domain because its base, b, is such that . The function, f, shifts the parent function 8 units . The function, f, shifts the parent function 5 units .
Answer:
The parent function y = 0.5x is DECREASING across its domain because its base, b, is such that 0<b<1.
The function, f, shifts the parent function 8 units UP .
The function, f, shifts the parent function 5 units RIGHT .
Translation involves moving a function vertically or horizontally.
The function [tex]\mathbf{y = 0.5^{x- 5} + 8}[/tex] shifts the parent function 5 units right, and 8 units up.
The parent function is given as:
[tex]\mathbf{y = 0.5^x}[/tex]
Move the function right, by 5 units
[tex]\mathbf{y = 0.5^{x- 5}}[/tex]
Move the function up by 8 units
[tex]\mathbf{y = 0.5^{x- 5} + 8}[/tex]
So, the function [tex]\mathbf{y = 0.5^{x- 5} + 8}[/tex] shifts the parent function 5 units right, and 8 units up.
Read more about translations at:
https://brainly.com/question/12463306
A cake has circumference of 25 1/7 inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredth. Enter your answer in the box.
Answer:
50.29 in^2
Step-by-step explanation:
From the circumference we need to find the radius.
Since C = 2*pi*r, r = C / (2*pi).
Here, with C = 25 1/7 in, r = (25 1/7 in) / [ 2(22/7) ], or r = 4 in
The area of the cake is A = pi*r^2, or (here) A = (22/7)(4 in)^2 = 50.29 in^2
Ben went to the farmer’s market with $14.00, bought 2 pounds of cherries and still had enough money left to buy 3 pounds of apples. Tom went to the farmer’s market and bought 6 pounds of apples and 4 pounds of cherries for $28.00.
14 – 2y = 3x, 6x + 4y = 28
The boys solved the equations to find the price per pound that they paid for cherries and found the solution 14 = 14. How should they interpret this result?
A: The price of 4 pounds of cherries is $14.00.
B: The price of 2 pounds of cherries is $14.00.
C: They made a math error when solving the equations, and should try a different solution method to find the price of the cherries.
D: The two equations describe the same line, so there is not enough information to determine the price per pound of cherries.
Answer:
C C C C
Step-by-step explanation:
DONT LISTEN TO THE FIRST GUY ITS C THEY MADE A MATH ERRORRR
Please HELP ASAP I really need help
Answer:
[tex]f(g(x)) = 16x ^ 4-32x ^ 2 + 18[/tex]
Step-by-step explanation:
we have two functions
[tex]f (x) = x ^ 2 -2x + 3\\\\g (x) = 4x ^ 2-3[/tex]
We wish to find the compound function f(g(x))
To find f(g(x)) you must introduce the function g(x) within the function f(x). This is change the variable x, in the function f(x), by g(x).
[tex]f (g (x)) = (4x ^ 2-3) ^ 2 - 2 (4x ^ 2-3) +3[/tex]
Now simplify the expression:
[tex]f (g (x)) = 16x ^ 4-24x ^ 2 + 9 - 8x ^ 2+6 +3\\\\f(g(x)) = 16x ^ 4-32x ^ 2 + 18[/tex]
ANSWER
[tex]f(g(x)) = 16 {x}^{4} -3 2{x}^{2} +18[/tex]
EXPLANATION
The given functions are:
[tex]f(x)={x}^{2} - 2x + 3[/tex]
and
[tex]g(x) = 4 {x}^{2} - 3[/tex]
We want to find
[tex]f(g(x)) = f(4 {x}^{2} - 3)[/tex]
This implies that;
[tex]f(g(x)) = ( 4 {x}^{2} - 3)^{2} - 2(4 {x}^{2} - 3) + 3[/tex]
We expand to get,
[tex]f(g(x)) = 16 {x}^{4} - 24 {x}^{2} + 9- 8 {x}^{2} + 6+ 3[/tex]
[tex]f(g(x)) = 16 {x}^{4} -3 2{x}^{2} +18[/tex]
Find an equation for the nth term of the arithmetic sequence.
a19 = -92, a20 = 6
a. an = -1856 + 98(n - 1)
b. an = -1856 - 98(n - 1)
c. an = -1856 - 98(n + 1)
d. an = -1856 + 98(n + 1)
d = 92+6 = 98
an = a1 + 98 (n-1)
a1=a19-98 (n-1)
a1=-92 -98 * 18
=-1856
It’s A ( an = -1856+98(n-1) )