Answer:
9.8 x 2.2 = 21.56 m
distance = time x speed
speed = distance ÷ time
Step-by-step explanation:
The highest point he reached occurred at the vertex, which is at t = -b/2a = 2.2 second. Plugging in t = 2.2
9.8 x 2.2 = 21.56ft
Higher cliffs don't accelerate your fall -- acceleration is constant during free fall. The pull of gravity decreases infinitesimally at higher elevations, but it pulls you with an equal force from the first second of your jump until you decelerate when you hit the water.
On the real number line, point E is at –18 and point F is at –9. What is the distance between point E and point F ?
Answer:
-9
Step-by-step explanation:
Determine whether the equation is exact. If it is exact, find the solution. If it is not, enter NS.
(4x2−2xy+5)dx+(5y2−x2+4)dy=0
The equation is exact, and its solution is given by\((4/3)x^3 - x^2y + 5x + 2y^2 = (5/3)y^3 - x^2y + 4y + (5/2)x^2 + C\), where C is a constant..
The given equation is exact. To determine if an equation is exact, we check if the partial derivative of the function with respect to y is equal to the partial derivative of the function with respect to x. In this case,\(\frac{{\partial}}{{\partial y}}(4x^2 - 2xy + 5) = -2x \quad \text{and} \quad \frac{{\partial}}{{\partial x}}(5y^2 - x^2 + 4) = -2x\). Since the partial derivatives are equal, the equation is exact.
To find the solution, we integrate the coefficient of dx with respect to x and the coefficient of dy with respect to y. Integrating \(4x^2 - 2xy + 5\) with respect to x gives \((4/3)x^3 - x^2y + 5x + g(y)\), where g(y) is the constant of integration with respect to x. Then, integrating \(5y^2 - x^2 + 4\) with respect to y gives \((5/3)y^3 - x^2y + 4y + h(x)\), where h(x) is the constant of integration with respect to y.
To obtain the solution, we equate the mixed partial derivatives:\(\frac{{\partial}}{{\partial y}}\left(\frac{4}{3}x^3 - x^2y + 5x + g(y)\right) = \frac{{\partial}}{{\partial x}}\left(\frac{5}{3}y^3 - x^2y + 4y + h(x)\right)\). By comparing the terms, we find that g'(y) = 4y and h'(x) = 5x. Integrating both equations gives g(y) =\(2y^2 + C1\)and h(x) = \((5/2)x^2 + C2\), where C1 and C2 are constants of integration. Thus, the general solution to the exact equation is\((4/3)x^3 - x^2y + 5x + 2y^2 = (5/3)y^3 - x^2y + 4y + (5/2)x^2 + C.\)
Learn more about integration here:
https://brainly.com/question/31433890
#SPJ11
20% of 70 is what?
please can you help me?
Answer:
14
Step-by-step explanation:
Hope this helps!!! :D
Answer:
It is 14.
Step-by-step explanation:
solve pls brainliest
Answer:
First part of problem : \(\frac{8}{9} = \frac{16}{18}\) and then \(\frac{5}{6} = \frac{15}{18}\)
Second part of problem : \(\frac{8}{9} >\frac{5}{6}\)
Step-by-step explanation:
Hi. So first the problem wants you to find a common denominator.
The least common denominator we can find is 18.
So for the first part of the problem put :
\(\frac{8}{9} = \frac{16}{18}\) and then \(\frac{5}{6} = \frac{15}{18}\)
Then for the next part :
\(\frac{8}{9} >\frac{5}{6}\)
This is all because 16/18 is greater than 15/18. Have a nice day and mark brainliest if possible. ;)
50 points please help
and please explain your answer
Answer:
HI I think X
Step-by-step explanation:
Answer:
X
Step-by-step explanation:
The included angle is the angle between the sides
The angle between XY and XZ is angle X
Which Of the Following Is not a regular polygon
A) Square B) Equilateral Triangle C) Rectangle D) Regular Hexagon
Answer:
Rectangle
Step-by-step explanation:
It is because the length and breadth are not equal
if(x) = x4 - 6x2 +3 Find the intervals where f is concave up and where it is concave down. Locate all inflection points. (You may write on the next page if you need more space for this question.)
You have the following function:
\(f(x)=x^4-6x^2+3\)In order to determine the intervals, it is necessary to calculate the first derivative of the function, equal it to zero, and identify the zeros of the equation, just as follow:
\(\begin{gathered} f^{\prime}(x)=4x^3-12x=0 \\ 4x(x^2-3)=0 \end{gathered}\)the zeros of the previous equation are:
\(\begin{gathered} x_1=0 \\ x_2=\sqrt[]{3} \\ x_3=-\sqrt[]{3} \end{gathered}\)Next, it is necessry if the previous values are minima or maxima. Evaluate the second derivative for the previous values of x. If the result is greater than 0, then, it is a minimum. If the result is lower than zero, it is a maximum:
\(\begin{gathered} f^{\prime}^{\prime}(x)=12x^2-12 \\ f^{\prime}^{\prime}(0)=12(0)^2-12=-12<0 \\ f^{\prime}^{\prime}(\sqrt[]{3})=12(\sqrt[]{3})^2-12=24>0 \\ f^{\prime}^{\prime}(-\sqrt[]{3})=12(-\sqrt[]{3})^2-12=24>0 \end{gathered}\)Then, for x=0 there is a maximum, and for x=-√3 and x=√3 there is a minimum.
Hence, until x = -√3 the function decreases. In between x=-√3 and x=0 the function increases. In between x=0 and x=√3 the function decreases and from x=√3 the function increases.
Furthermore, it is necessary to find the inflection points. Equal the second derivative to zero and solve for x:
\(\begin{gathered} f^{\prime}^{\prime}(x)=12x^2-12=0 \\ x^2=1 \\ x=\pm1 \end{gathered}\)then for x=1 and x=-1 there are inflection points.
The interval where the function is concave up is:
(-∞ , -1) U (1, ∞)
The interval where the function is concave down is:
(-1,1)
Eighth grade
>
T.14 Volume of spheres QX7
What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
60 in
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 7. If there were 6489 no votes, what was the total number of votes?
Total number of votes is 11124.
What do you mean by ratio and proportion?
Ratios and proportions are mainly described using fractions.
Two quantities are compared to form a ratio.
An equality of two ratios is a proportion.
How to write a ratio?
1. Determine if the ratio is part-to-part or part-to-whole.
2. Calculate parts and wholes as needed.
3. Put the value into the ratio.
4. Simplify proportions if necessary. Integer ratios are preferred.
Given,
Ratio of yes votes to no votes = 5:7
Number of yes votes = 5x
Number of no votes = 7x
According to question , number of no votes = 6489
Therefore, 7x = 6489
x = 6489/7 = 927
Total number of votes = 5x + 7x = 12x = 12(927) = 11124
Therefore, total number of votes is 11124.
To learn more about the ratio and proportion from the given link.
https://brainly.com/question/18437927
#SPJ1
Choose the correct symbol
Answer:
\(2,000lb < 1 t\)
Step-by-step explanation:
1 Ton = 2,240 lb
Please help me . It's urgent
Answer:
36
Step-by-step explanation:
i think lmk if i am right
The corner of an 11 in. by 8.5 in. sheet of paper is cut off. The dimensions of the remaining piece of paper are shown. 8.5 in. 6 in. 11 in. *diagram not drawn to scale 6.5 in. What is the area of the remaining sheet of paper? A 72.5 in² B. 83.5 in² C. 88.5 in² D. 93.5 in²
Area of the remaining sheet of paper is 88.5 in² that is option C. 88.5 in²
Finding area of the sheet of paper:To find the area of the sheet we need know Area of the entire sheet and area of the sheet that is cut off from the sheet.
The area of the sheet can be found by using Area of the rectangle sheet formula and the area of the sheet that is cut off from the sheet can be found by using the area of the triangle formula.
Here we have
The corner of an 11 in. by 8.5 in. sheet of paper is cut off.
Here the area of the paper = 11 × 8.5 = 93.5 in²
Dimensions of the remaining piece of paper are 8.5 in × 6 in × 11 in.
If assume the paper which is cut off as a right angled triangle
Height of the triangle = 11 in - 6 in = 5 in
Base of the triangle = 8.5 - 6.5 = 2 in
So area of the triangle which is cut off = 1/2 (2)(5) = 5 in²
Hence,
Area of the remaining paper
= Area of sheet - Area of triangle sheet
= 93.5 in² - 5 in² = 88.5 in²
Therefore,
Area of the remaining sheet of paper is 88.5 in² that is option C. 88.5 in²
Learn more about Area at
https://brainly.com/question/4831105
#SPJ4
Complete Question:
what is the simplest form of the radical expression sqrt 2+sqrt 5/sqrt 2-sqrt 5
Therefore, the simplest form of the radical expression is (-7 + 2sqrt(10)).
To simplify the expression, we can use the conjugate of the denominator to rationalize the denominator:
(sqrt(2) + sqrt(5)) / (sqrt(2) - sqrt(5)) * (sqrt(2) + sqrt(5)) / (sqrt(2) + sqrt(5))
= (2 + 2sqrt(10) + 5) / (2 - 5)
= (-7 + 2sqrt(10))
To know more about expression,
https://brainly.com/question/12114262
#SPJ11
find the area of the shaded region in the figure. round answer to two decimal places, (use pie= 3.14)
What is the opposite of -(-8)
Answer:+8
Step-by-step explanation:Because that´s the absolute value
Can anyone explain to me what to do here? Cause I don't see any figure beside it ;-;
Step-by-step explanation:
Hi,
So this might be telling you the letters of the angles eg: an angle that has the letter next to it like PKS is an acute angle so you put that in the first column and find an obtuse and right angle and put all the letters of the angle in that column and then ask me what to do next when you have done !
Hope this helps you :)
2. How is the graph of y = 5x2 - 4 different from the graph of y = 5x27?
It is shifted 4 units up.
It is shifted 4 units down.
It is shifted 4 units to the right.
It is shifted 4 units to the left.
Which table represents a linear function?
Answer:
The last table.
Step-by-step explanation:
We can see that the last table is the only table that has y values that go up by the same value each time. If x goes up by 1, y goes up by 5. Therefore, the last table is the only table that represents a linear function.
Identify the range of the function shown in the graph.
A. y is all real numbers.
B. {-2,2}
C. -2 < y < 2
D. Y > 0
Answer:
A. y is all real numbers.
Step-by-step explanation:
The range is the possible values that y can take
In this graph y goes from negative infinity to infinity so y can be all real numbers
ellen makes cookies and sells them at the local farmers' market. today, she is going to make batches of her famous cardamom cookies. she has a jar with 2 fluid ounces of cardamom, and her recipe calls for 1 4/5 tablespoons, or 3/10 of a fluid ounce, of cardamom in each batch. how many batches can ellen make with all of her cardamom?
Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.
Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.
We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:
2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)
= (2/1) x (10/3)
= 20/3
= 6 2/3
Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.
Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.
To know more about Cardamom cookies .
https://brainly.com/question/31945877
#SPJ11
Need Help! Please Due later tonight at 11:59 :))
What is the Null hypothesis for the below ttest? \( [h, p, 0]= \) ttert(momingsections, eveningsection): Where morningSections is a vector containing the overage bedtimes of students in sections 1 and
the null hypothesis for the given t-test\(`[h, p, 0] = ttest(morningsections, eveningsection)`\)
In the t-test formula for hypothesis testing, the null hypothesis states that there is no difference between the two groups being tested. Therefore, for the given t-test below:
`[h, p, 0] = ttest(morningsections, eveningsection)`,
the null hypothesis is that there is no significant difference between the average bedtimes of students in morning sections versus evening sections.
To explain further, a t-test is a type of statistical test used to determine if there is a significant difference between the means of two groups. The formula for a t-test takes into account the sample size, means, and standard deviations of the two groups being tested. It then calculates a t-score, which is compared to a critical value in order to determine if the difference between the two groups is statistically significant.
In this case, the two groups being tested are morning sections and evening sections, and the variable being measured is the average bedtime of students in each group. The null hypothesis assumes that there is no significant difference between the two groups, meaning that the average bedtime of students in morning sections is not significantly different from the average bedtime of students in evening sections.
The alternative hypothesis, in this case, would be that there is a significant difference between the two groups, meaning that the average bedtime of students in morning sections is significantly different from the average bedtime of students in evening sections. This would be reflected in the t-score obtained from the t-test, which would be compared to the critical value to determine if the null hypothesis can be rejected or not.
In conclusion, the null hypothesis for the given t-test\(`[h, p, 0] = ttest(morningsections, eveningsection)`\) is that there is no significant difference between the average bedtimes of students in morning sections versus evening sections.
To know more about null hypothesis visit :
https://brainly.com/question/30821298
#SPJ11
Divide 280kg in the ratio 2;5
Answer:
80 Kg : 200 Kg
Step-by-step explanation:
sum the parts of the ratio , 2 + 5 = 7 parts
Divide the total by 7 to find the value of one part of the ratio
280 Kg ÷ 7 = 40 Kg , then
2 parts = 2 × 40 Kg = 80 Kg
5 parts = 5 × 40 Kg = 200 Kg
280 Kg in the ratio 2 : 5 is 40 Kg : 200 Kg
The class sizes of the Introductory Psychology courses at a college are shown below.
121, 134, 106, 93, 149, 130, 119, 128
The college adds a new Honors Introductory Psychology course with 45 students. What effect does the new class size have on the center and
spread of the class sizes of the Introductory Psychology courses at the college?
OA. The value of the center decreases and the distribution has a smaller spread.
O B. The value of the center increases and the distribution has a larger spread.
OC. The value of the center increases and the distribution has a smaller spread.
OD. The value of the center decreases and the distribution has a larger spread.
Answer:
pic of question
Step-by-step explanation:
option D) The value of the center decreases and the distribution has a larger spread.
What is the mean of a distribution?Mean is the measure of the central tendency or the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Given here the distribution as 121, 134, 106, 93, 149, 130, 119, 128
therefore their mean is = (121+134+106+ 93+ 149+ 130+ 119+ 128)/8
= 122.5
Again after the new course was added the new mean is
= (121+134+106+ 93+ 149+ 130+ 119+ 128+45)/9
= 113.88
Hence clearly the mean has decreased and the distribution has a larger spread.
Learn more about the mean here:
https://brainly.com/question/13451489
#SPJ2
Please help!!!!! ASAP, thank you :)) I’ll give the right answers brainliest
Answer:
Step-by-step explanation:
ok
50 points!!!
7. Write and solve an inequality for the value of x.
The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.
What is Triangle inequality theorem?
The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.
We are given three sides of a triangle as 8, 6 and x+20
Using Triangle inequality theorem,
⇒8+6 > x+20
⇒14 > x+20
⇒-6 > x
Also,
⇒x+20+6 > 8
⇒x+26 > 8
⇒x > -18
Also,
⇒x+20+8 > 6
⇒x+28 > 6
⇒x > -22
From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.
This means that x must lie between -18 and -6.
Hence, the value of x must be between -18 and -6.
Learn more about Triangle inequality theorem from the given link
https://brainly.com/question/1163433
#SPJ1
Solve the equation by using the Quadratic Formula. Round to the nearest tenth, if necessary. Write your solutions from least to greatest, separated by a comma, if necessary. If there are no real solutions, write no solutions.
2x^2=12x−18
Answer: x = 3
Step-by-step explanation:
\(2x^2 - 12x + 18 = 0\)
a = 2, b = -12, c = 18
plugging into the quadratic formula, which is:
\(\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}\)
we get two answers: x = 3. and x = 3.
as you can tell, theyre the same answer, so x = 3.
Marking brainliest
Why is this right important
what type of solutions does this equation have
Answer:
2 imaginary solutions
Step-by-step explanation:
please solve this question within 20 Min
2. (简答题, 30.0分) Let X denote a random variable that takes on any of the values -1, 0, and 1 with respective probabilities P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3. Find the expectation of X
The calculated expectation of X is 0.1
How to calculate the expectation of XFrom the question, we have the following parameters that can be used in our computation:
P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3
The expectation of X is calculated as
E(x) = ∑xp(x)
So, we have
E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3
Evaluate
E(x) = 0.1
Hence, the expectation of X is 0.1
Read more about expected values at
https://brainly.com/question/15858152
#SPJ4