1. A hammock is suspended between two trees. The curve the hammock makes can be modelled by the equation, y = 0.2x2 – 0.4x – 0.6, where x and y are measured in meters. (Application)
a. What do the x-intercepts tell you?
b. Does the y-intercept have any meaning in this situation.
Answers
Answer:
Step-by-step explanation:
Given that:
The modeled equation y = 0.2x² - 0.4x - 0.6
To find x- intercepts
y = 0.2x² - 0.4x - 0.6
y = 0.2(x² - 2x - 3)
y = 0.2(x - 3)(x + 1)
Suppose the upward parabola cuts x axis at x = 3 and x = - 1
Then, the length of the intercepts will be = 3 -(-1)
=4
We can say that the trees will be 4 unit apart.
To find y-intercepts;
y = 0.2(0)² - 0.4(0) -0.6
y = -0.6 meters
Related Questions
how to write the radical √8 using rational exponents?
Answers
Answer:
2√2
Step-by-step explanation:
√8 can be simplified to √(4)(2) , since 4 x 2 still equals 8. But now, 4 is a perfect sqaure, and whenever we get a perfect sqaure, we divided it by its root and put that number on the outside.
For ex: √32 = √(16)(2), since 16 x 2 = 32. 16 is a perfect sqaure, so we take its root and put it on the outside 4√2 ,
Now with this one, we'll do the same thing: √(4)(2) = 2√2
Answer:
2^2
Step-by-step explanation:
FOR BRAIBLIEST AND 50 POINTS! I NEED THIS ASAP!
Directions: Graph these in one cartesian plane(clue: it would form a triangle)
Answers
The solution is the area between the three lines, a triangle with vertices marked (see attached).
Andrea reads 36 pages each night. How many pages does Andrea read in 42 nights?
A 1,502pages
B 1,512pages
C 1,552pages
D 1,582pages
Answers
Answer:
1,512
Step-by-step explanation:
36x42
Suppose you are testing H 0 :p=0.55 versus H 1 :p<0.55, where n=25. From your data, you calculate your test statistic value as +1.3. (a) Should you use z or t when finding a p-value for this scenario? (b) Calculate the p-value for this scenario. (c) Using a significance level of 0.071, what decision should you make (Reject H 0 or Do Not Reject H 0 ) ?
Answers
(a) We should use t-distribution since the sample size n = 25 is less than 30.
(b) The test statistic value is t = 1.3. The degrees of freedom for the t-distribution is df = n - 1 = 24. Using a t-table or calculator, the p-value for a one-tailed test with t = 1.3 and df = 24 is approximately 0.104.
(c) The significance level is 0.071. Since the p-value (0.104) is greater than the significance level (0.071), we fail to reject the null hypothesis H0: p = 0.55. We do not have enough evidence to conclude that the true proportion is less than 0.55.
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Could someone quickly sum up how to calculate probability? I’m taking a course on it and don’t understand.
Answers
Answer:
Divide the number of events by the number of possible outcomes. After determining the probability event and its corresponding outcomes, divide the total number of ways the event can occur by the total number of possible outcomes. For instance, rolling a die once and landing on a three can be considered one event.
Step-by-step explanation:
for more information check the above attachment
which two continents are entirely located in the western hemisphere
Answers
Answer:
south america and north america
Step-by-step explanation:
payments of $1400 each year for 8 years at 6ompounded annually
Answers
If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.
To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.
To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:
FV = P * ((1 + r)^n - 1) / r
where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).
Plugging in the values, we have:
FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06
≈ $12,350
Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.
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construct your understanding questions (to do in class) 1. help max devise an equation for each of the following in terms of x and y. a. the area of their campsite : A =
b. The length of the yellow caution tape : L = 120 ft.
Answers
Answer: L = 2 * (x + y) = 120
We frame the questions using the provided information:
1a. To help Max devise an equation for the area (A) of their campsite in terms of x and y, first recall that the area of a rectangle is given by the formula A = length * width.
Let x represent the length of the campsite and y represent the width. Now, write an equation for the area (A) in terms of x and y.
Answer: A = x * y
1b. To help Max devise an equation for the length of the yellow caution tape (L) in terms of x and y, first consider that the length of the tape should be equal to the perimeter of the campsite. The perimeter of a rectangle can be found using the formula P = 2 * (length + width). In this case, the length of the yellow caution tape (L) is given as 120 ft.
Let x represent the length of the campsite and y represent the width.
Write an equation for the length of the yellow caution tape (L) in terms of x and y.
Answer: L = 2 * (x + y) = 120
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According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean of 98.1398.13degrees°F and a standard deviation of 0.620.62degrees°F. Using Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 33 standard deviations of the mean? What are the minimum and maximum possible body temperatures that are within 33 standard deviations of the mean?
Answers
Complete Question
According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean of 98.13degrees°F and a standard deviation of 0.62degrees°F. Using Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the mean?
What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the mean?
Answer:
a) what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the mean?
This means that at least 88.89% of healthy adults with body temperatures that are within 3 standard deviations of the mean.
b).What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the mean?
The minimum body temperature within 3 standard deviations of the mean = 96.27°F
The maximum body temperature within 3 standard deviations of the mean = 99.99°F
Step-by-step explanation:
We solve this question using Chebyshev's theorem.
Chebyshev's theorem states that:
1) At least 3/4 of the data lies within two standard deviations of the mean. This means, the interval endpoints :
Mean ± 2Standard deviation
2) At least 8/9 of the data lies within three standard deviations of the mean. This means, the interval endpoints :
Mean ± 3Standard deviation
From the above question,
Mean = 98.13°F
Standard deviation = 0.62°F
The question specified 3 Standard deviation from the mean. Hence,
a) At least 8/9 of the data lies within three standard deviations of the mean. This means, the interval endpoints :
Mean ± 3Standard deviation
Converting this to percentage
8/9 × 100 = 88.89%
Therefore, this means that at least 88.89% of healthy adults with body temperatures that are within 3 standard deviations of the mean.
b) For question B,to find the minimum, maximum value
At least 8/9 of the data lies within three standard deviations of the mean. This means, the interval endpoints :
Mean ± 3Standard deviation
Mean = 98.13°F
Standard deviation = 0.62°F
98.13 - 3 × 0.62
= 96.27°F
98.13 + 3 × 0.62
= 99.99°F
Therefore, the minimum body temperature within 3 standard deviations of the mean = 96.27°F
The maximum body temperature within 3 standard deviations of the mean = 99.99°F
based on their records, a hospital claims that the proportion of full-term babies born in the community that weigh more than 7 pounds is 41%. a pediatrician who works with several hospitals in the community would like to verify the hospital's claim. in a random sample of 135 babies born in the community, 44 weighed over 7 pounds. is there enough evidence to reject the hospital's claim at the 0.10 level of significance?
Answers
We fail to reject the hospital's claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 41% at the 0.10 level of significance.
To determine if there is enough evidence to reject the hospital's claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 41%, we can conduct a hypothesis test.
Let's assume that the hospital's claim is true, that the population proportion of babies born in the community that weigh more than 7 pounds is p = 0.41. Then the null hypothesis would be
H0: p = 0.41
The alternative hypothesis would be that the proportion is different from 0.41, i.e., a two-tailed test
Ha: p ≠ 0.41
The significance level of the test is α = 0.10.
We can use the normal approximation to the binomial distribution, since n = 135 and np = 0.41 × 135 ≈ 55 and n(1 − p) = 80 are both greater than 10.
The test statistic is calculated as:
z = (x − np) / sqrt(np(1 − p))
where x = 44 is the number of babies in the sample who weigh more than 7 pounds.
Substituting the values, we get
z = (44 − 0.41 × 135) / sqrt(0.41 × 135 × 0.59) = 1.53
Using a standard normal distribution table, we find that the probability of getting a z-value of 1.53 or more extreme under the null hypothesis is 0.064.
Since this probability is greater than the significance level of 0.10, we fail to reject the null hypothesis. There is not enough evidence to conclude that the proportion of full-term babies born in the community that weigh more than 7 pounds is different from 41% at the 0.10 level of significance.
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what is the value of the y-intercept of the graph of f(x)= 57(3.2)x
Answers
The y-intercept of the graph of a function is the point at which the graph intersects the y-axis. In other words, it's the value of the function when x=0.
So to find the y-intercept of f(x) = 57(3.2)x, we can substitute x=0 into the function:
f(0) = 57(3.2)(0)
f(0) = 0
So the y-intercept of this function is (0,0).
A pitcher throws a softball toward home
plate. When the ball hits the catcher's mitt, its
horizontal velocity is 32 meters/second. The
softball's velocity goes to 0 meters/second in
0.8 seconds when caught. If the softball has
a mass of 0.2 kilograms, what's the force of
the impact? Use F= ma, where
Answers
The force of impact given that the ball was caught for 0.8 s is – 8 N
Data obtained from the question Initial velocity (u) = 32 m/sFinal velocity (v) = 0 m/sMass (m) = 0.2 KgTime (t) = 0.8 sForce (F) = ?How to determine the forceF = m(v – u) / t
F = 0.2(0 – 32) / 0.8
F = (0.2 × – 32) / 0.8
F = – 8 N
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80,000,000+1,000,000+600,000+20,000+900+40+8 how is this written in standard form
Answers
Answer:
81,620,948
Step-by-step explanation:
this what you need?
in circle B, m ZDBF = 75°,m FC =60° and DE and AC are diameters.
Need help with this question asap!!
Answers
Answer:
\(\huge{\{\fbox{\tt{Questions }}\}}\)
The required measures of the circle are:
mDF = 75, m∠FBE 105, mFC=60
m∠CBE = 45, mDAC = 225. m∠ABE=135
m∠ABF=120
What are the sections of the circle?A section of a circle is a region enclosed by a chord and an arc of the circle. It is also called a circular sector. A circular sector is defined by its central angle, which is the angle between the two radii that form the sector, and its radius, which is the distance from the center of the circle to the endpoints of the sector.
Here,
A circle is shown,
mDF = 75 [shown in the image]
m∠FBE = 60 + ∠CBE
m∠FBE = 60 + ∠ABD [∠ABD=∠CBE]
m∠FBE = 60 + 45 [∠ABD = 180 - 75-60]
m∠FBE = 105,
Similarly,
mFC=60, m∠CBE = 45, mDAC = 225, m∠ABE=135, and m∠ABF=120
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Given f(x) = x + 4, g(x) = -2x^2 and h(x) = 5, find the value of: [g o f](10).
Then Using the functions
find [h o g](-2).
Answers
Answer:
To find the value of g o f, we need to first find the value of f(10) and then plug that value into g.
The value of f(10) is 10 + 4 = 14.
So, g o f = g(14) = -2 * 14^2 = -2 * 196 = -392
To find the value of h o g, we need to first find the value of g(-2) and then plug that value into h.
The value of g(-2) is -2 * (-2)^2 = -2 * 4 = -8
So, h o g = h(-8) = 5
Therefore, the value of h o g is 5.
Step-by-step explanation:
Answer:
[g o f](10)= -392 [h o g](-2)= 5
Step-by-step explanation:
Input the value (like 10 in the first one) into the first equation (f in the first one and g in the second one.) Then take the output of this and put it into the second part to get your answer.
what is the line of best fit (regression equation) for my table of data
x y
2017 7070
2018 7270
2019 7470
2020 7470
2021 7470
Answers
The required line of best fit is y = b = 7350.
How to find line of best fit?To find the line of best fit (regression equation) for the given data, we can use linear regression analysis.
First, we need to calculate the slope (m) and y-intercept (b) of the line of best fit. The formulas for m and b are:
\($m = \frac{n\sum xy - \sum x \sum y}{n\sum x^2 - (\sum x)^2}$$\)
\($b = \frac{\sum y - m\sum x}{n}$\)
where n is the number of data points, Σxy is the sum of the product of x and y, Σx is the sum of x, Σy is the sum of y, and \(\sum{x^2}\) is the sum of the squares of x.
Using the given data, we can calculate the values as follows:
n = 5
Σx = 10095
Σy = 36750
Σxy = 74879700
\(\sum{x^2}\) = 20373605
\($m = \frac{n\sum xy - \sum x \sum y}{n\sum x^2 - (\sum x)^2} = \frac{574879700 - 1009536750}{5\cdot20373605 - (10095)^2} = 0$\)
\($b = \frac{\sum y - m\sum x}{n} = \frac{36750}{5} = 7350$\)
Therefore, the line of best fit is:
y = b = 7350
This means that the best fit line is a horizontal line passing through the y-intercept of 7350, since the slope is zero. This indicates that there is no trend or relationship between the variables x and y in the given data.
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Can someone please give me the answers thank u !!!
Answers
Answer:
D.
Step-by-step explanation:
I have been doing this in Geometry.
We know perpendicular means opposite recipicoles and opposite slopes.
so.. the slope is 3 to get the y-intercept you do this.
(1, 2) Use the points it gave you and the slope 3 and put it is y=mx + b form
2 = 3(1) + b (I do this because I don't know what b is yet) (b = y-intercept)
2 = 3 + b (subtract 3 on both sides)
-1 = b
The equation is y = 3x - 1
Leo wants to determine the average number of texts middle school students send in a day. Since all middle school
students are enrolled in history, he randamly surveyed 4 'students from each of Mr. Barnes's eighth-grade history
classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is
representative of all middle school students?
O He should take the sample as is because he randomly surveyed students in each of Mr. Barnes's classes.
He should also take a sample from Ms. Lopez's and Mrs. Frank's classes so that each student has the same
chance of being chosen.
O He should also take a sample from each of the other history classes in all of the other grades in the middle school.
O He should survey al the students in all the history classes to make sure he collects enough data.
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
3rd Choice
Step-by-step explanation:
He is looking to collect a sample representing middle school students, not just 8th grade students. He needs to get all the data from all the middle school students.
t/7 = 32/56 what is t
Answers
Answer:
t = 4
Step-by-step explanation:
\(\frac{t}{7}\) = \(\frac{32}{56}\) ( cross- multiply )
56t = 7 × 32 = 224 ( divide both sides by 56 )
t = 4
Step-by-step explanation:
\( \frac{t}{7} = \frac{32}{56} \\ t = \frac{32 \times 7}{56} \\ t = \frac{32}{8} \\ t = 4\)
#CMIIWformula of paremeter
Answers
Answer:
The formula for the perimeter of a rectangle is P = 2l + 2w
Step-by-step explanation:
Step-by-step explanation:
2 (l + b)
yes this may help you this is formula of perimeter
what is 1+1 please help
Answers
Can someone help me with this question please?!
Answers
Answer:
H. $26
Step-by-step explanation:
$6.50 x 4 = 26. The cost is exact.
Look at the image pls help
Answers
Answer: i need the formula to help i promise i will but i need the formula for the slanted f
Step-by-step explanation:
Answer:
is 34
Step-by-step explanation:
^<- this is the square sing
f(1)+f(-2) for f(x)=4x^2+7
f(1)=4(1)^2+7
=4+7
f(1) =11
f(-2)=4(-2)^2+7
if you square -2 there will not be no -
-2 the whole square is 4
=4(4)+7
f(-2)=23
f(1)+f(-2)=11+23=34
:. The answer is 34
9973 is a prime number which is the sum of all the factors of 9973
Answers
Answer:
9974
Step-by-step explanation:
If 9973 is a prime number, then the only factors of 9973 is itself and one, therefore the factors are, "9973" and "1", and if we want to find the sum of that, we add it together to get 9974.
5 with a exponent of 5
Answers
Answer:
3125
Step-by-step explanation:
5^5
= 5*5*5*5*5
= 25*5*5*5
=125*5*5
=625*5
=3125
Please like, rate 5 stars, give brainliest. Thanks.
Answer:
5^5=3125
Step-by-step explanation:
\(5^5\\\\=5*5*5*5*5\\\\=25*25*5\\\\=25*125\\\\=3125\)
Solve algebraically.
16*4^(x-2) = 64^-2x
Answers
According to given information, answer is \(x = 2/3\).
The equation is \(16 * 4^{(x - 2)} = 64^{-2x}\).
Let's begin by simplifying both sides of the equation \(16 * 4^{(x - 2)} = 64^{-2x}\).
We can write \(64^{-2x}\) in terms of \(4^{(x - 2}\).
Observe that 64 is equal to \(4^3\).
So, we have \(64^{(-2x)} = (4^3)^{-2x} = 4^{-6x}\)
Hence, the given equation becomes \(16 * 4^{(x - 2)} = 4^{(-6x)}\)
Let's convert both sides of the equation into a common base and solve the resulting equation using the laws of exponents.
\(16 * 4^{(x - 2)} = 4^{(-6x)}\)
\(16 * 2^{(2(x - 2))} = 2^{(-6x)}\)
\(2^{(4 + 2x - 4)} = 2^{(-6x)}\)
\(2^{(2x)} = 2^{(-6x)}\)
\(2^{(2x + 6x)} = 12x\)
Hence, \(x = 2/3\).
Answer: \(x = 2/3\).
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Kevin mowed 12 laws and earned a total of $60 which represents the amounts of money earned per lawn
Answers
Answer:
$5 per lawn
Step-by-step explanation:
60 divided by 12 = 5
A company makes storage containers with sheet steel walls. The containers are shaped like rectangular prisms, as shown below. If the company has a total of 944m2 of sheet steel available, how many storage containers can be made?
Answers
Answer:
(0.2)+(-8)=0.3+-3+0.3m
Step-by-step explanation:
a frend showed me
Determine the domain and the range of the function. Hint graphing it might help f(x) = x 2 + 8x + 16A. domain: all real numbersrange: {y|y ≥ 16}B. domain: {x|x ≥ 4}range: {y|y ≥ 0}C. domain: {x|x ≥ -4}range: {y|y ≥ 0}D. domain: all real numbersrange: {y|y ≥ 0}
Answers
Domain: all real numbers
Range: {y|y ≥ 0}
Explanation:The given function is:
\(f(x)=x^2+8x+16\)The graph of the function is plotted below
By careful observation of the graph above:
The domain of f(x) = (-∞, ∞)
That is, the domain is a set of all real numbers
There are no negative values of y on the graph. The range is a set of all positive real numbers.
The range of f(x) = [0, ∞)
Option D is the only correct choice
Domain: all real numbers
Range: {y|y ≥ 0}
A cylinder is 320 cubic inches and a height of 5 inches. What is the radius of the cylinder
Answers
Solution
For this case we know that the volume is given by:
\(V=r^2h\pi\)And we can solve for the radius and we got:
\(r=\sqrt[]{\frac{V}{h\pi}}=\sqrt[]{\frac{320}{5(\pi)}}=4.514in\)Then the answer would be 4.514 in