Answer:
(-3/4)x^2 + 6x = 3
Step-by-step explanation:
It takes 8 seconds for the ball to reach its maximum height and then return to ground level; thus, the highest point (vertex) the ball will reach is reached after 4 seconds. The graph showing this motion is a parabola that opens down. Thus, the coefficient 'a' must be negative.
Returning to a * x ^ 2 + bx + c, we write out two instances of this formula, one for x = 0 and the other for x = 8. This is because {0, 8} are the x-intercepts.
Then, for x = 0, a * x ^ 2 + bx + c becomes a * 0 ^ 2 + b*0 = 0,
and for x = 8, a * x ^ 2 + bx + c becomes a(8)^2 + b(8) + c = 0
The first equation tells us that 'c' must be 0. The second equation tells us that 64a + 8b = 0, which is equivalent to 8a = -b, or a = -b/8.
We then have the quadratic function (-b/8)x^2 + bx + 0. All we have to do now is to find the value of b. The vertex of this parabola is (4, 12), and so the quadratic becomes
(-b/8)(4)^2 + b(4) = 12. To solve this for b, multiply all terms by 8:
-b(16) + 32b = 96, or
16b = 96, or b = 6. Since a = -b/8 (see above), a = -6/8 or a = -3/4.
Then the equation of motion is
height of ball = (-3/4)x^2 + 6x
We want to know when the ball is at a height of 3 m. Thus, set this equation of motion = to 3 and solve for x (the times at which height = 3 m):
(-3/4)x^2 + 6x = 3 This is the desired quadratic equation.
Two co- interior angles are in the ratio 5:7 find the angles
Answer:
75°
105°
Step-by-step explanation:
Two co-interor= 180°
5+7= 12
ratio12= 180°
{find the other ratios, 5 and 7)
12=180°
5×180÷12 = 75°
To find 7, just subtract 180-75= 105°
- 4(-5h-4)=2(10h+8) *
Answer:
0
Step-by-step explanation:
We need to solve the given expression for the value of h.
- 4(-5h-4)=2(10h+8)
Opening brackets on both sides of the above equation
+20h+4=20h+16
Taking h terms on the one side and the constants on the another side
20h-20h=16-4
0=20
It means that the value of - 4(-5h-4)=2(10h+8) is equal to 0.
What is the measure of the following? M AOC
Answer:
mAOC = 40
Step-by-step explanation:
This is because from 40 to 60 degrees its 20 degrees, and then from 60 to 80 degrees its 20 degrees so 20 +20= 40 degrees
evaluate -1 -(-z) where z = -2
Answer:
1
Step-by-step explanation:
-1 - (-z)
-1 - (-2)
-1 + 2
1
Answer:
-3
Step-by-step explanation:
Solve |
Answer:
I need something to slove
Step-by-step explanation:
4y-2n=9,for y please show step by step
Answer:
y = (1/2n) + (9/4)
Step-by-step explanation:
4y - 2n = 9
add 2n to both sides
4y = 9 + 2n
divide both sides by 4
y = (9/4) + (2/4n)
simplify
y = (9/4) + (1/2n)
put in standard form
y = (1/2n) + (9/4)
Answer:
y=9+2n/4
Step-by-step explanation:
4y-2n=9
+2n
4y=9+2n
÷4 ÷4
y=9+2n/4
Can someone tell me the answers and show how you did it step by step with the parentheses and everything?
Step-by-step explanation:
Following B. O. D. M. A. S rule :
= { [ 8 / 2] ^2 - 6} * (-2)
= { 4 ^ 2 - 6} * - 2
= 10 * - 2
= - 20
Answer:
Solution : - 20
Step-by-step explanation:
We have the following expression to simplify,
[tex]\left\{\left[\frac{\left(3+5\right)}{2}\right]^2-\left(3\cdot 2\right)\right\}\cdot \left(-2\right)[/tex]
Let's start by simplifying simple expressions, such as 3 + 5 = 8 and 3 * 2 = 6. Substituting we receive,
[tex]\left\{\left[\frac{\left(8\right)}{2}\right]^2-\left(6\right)\right\}\cdot \left(-2\right)[/tex]
8 / 2 = 4, and 4² = 16 -
[tex]\left\{16-\left(6\right)\right\}\cdot \left(-2\right)[/tex]
And of course 16 - 6 = 10, simplifying the expression to " - 2 [tex]*[/tex] 10 " leaving us with a solution of - 20.
Where is the hundred thousand place
The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.17 + 0.095x.
A) What is the true average flow rate for a pressure drop of 10 in. and drop of 15 in.?
B) What is the true average change in flow rate associated with a 1 inch increase in pressure drop?
C) What is the average change in flow rate when pressure drop decreases by 5 in.?
Answer:
A. 0.78 and 1.255.
B. 0.095
C. -0.475
Step-by-step explanation:
The given regression line is
y=-0.17+0.095x
A.
The true average flow rate for a pressure drop of 10 inch can be computed by putting x=10 in above equation.
y=-0.17+0.095*10
y=-0.17+0.95
y=0.78
The true average flow rate for a pressure drop of 10 inch is 0.78.
The true average flow rate for a pressure drop of 15 inch can be computed by putting x=15 in above equation.
y=-0.17+0.095*15
y=-0.17+1.425
y=1.255
The true average flow rate for a pressure drop of 15 inch is 1.255.
B.
The slope represents average change in y due to unit change in x.
So, the true average change in flow rate associated with a 1 inch increase in pressure drop is 0.095(1)= 0.095.
C.
When pressure drops decreases by 5 in. then the average change in flow rate is 0.095(-5)=-0.475.
The flow rate in the device is an illustration of average rates.
The true average flow rates when pressure drops 10 and 15 in are 0.78 and 1.255 respectivelyThe true average flow rates associated to a 1 in pressure increment is 0.095A decrement of -5 in is out of the domain of the functionThe function is given as:
[tex]\mathbf{y = -0.17 + 0.095x}[/tex]
(a) The true average flow rate when pressure drops 10 and 15 in
When x = 10, we have:
[tex]\mathbf{y = -0.17 + 0.095 \times 10}[/tex]
[tex]\mathbf{y = 0.78}[/tex]
When x = 15, we have:
[tex]\mathbf{y = -0.17 + 0.095 \times 15}[/tex]
[tex]\mathbf{y = 1.255}[/tex]
Hence, the true average flow rates when pressure drops 10 and 15 in are 0.78 and 1.255 respectively
(b) The true average flow rate when pressure increases by 1 in
This simply represents the slope of the function.
The function is given as:
[tex]\mathbf{y = -0.17 + 0.095x}[/tex]
A linear regression equation is represented as:
[tex]\mathbf{y = b + mx}[/tex]
Where m represents the slope
By comparison:
[tex]\mathbf{m = 0.095}[/tex]
Hence, the true average flow rates associated to a 1 in pressure increment is 0.095
(c) The average change in flow rate when pressure drops decreases by 5 in
The domain of the function is given as:
[tex]\mathbf{x = 5\ to\ 20}[/tex]
A decrement of -5 in means: x = -5
This is out of the domain of the function
Hence, the average change at a decrement of 5 in cannot be calculated
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10 x 4 thousands in unit form
Answer:
Step-by-step explanation:
Simplify.
10 x 4000
40000
Unit form.
forty-thousand = four thousands
I'm sorry if I misunderstood.
Please add Brainliest if you'd like, not that it matters.
Multiplication is the process of multiplying. The value of the expression 10 × 4,000 is 40,000.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
In the given expression 10×4000, the symbol of '×' represents that the two digits should be multiplied. Therefore, the value of the multiplication of 10 and 4,000 is,
10 × 4,000 = 40,000
Hence, the value of the expression 10 × 4,000 is 40,000.
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PLEASE ANSWER ASAP I WILL GIVE BRAINLIEST Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them. x g(x) 0 2 5 4 10 6 The slope of f(x) is greater than the slope of g(x). The slope of f(x) is less than the slope of g(x). The slope of f(x) is equal to the slope of g(x). The slope of g(x) is undefined.
Answer:
slope of F(X) = to the slope of G(X)
Step-by-step explanation:
your answer should be: letter C
No lies, I just did the exam and I've got it right, gook luck, guys.
please let me know if it worked, and also please don't forget to make brainly, give a rate, and add the heart ;) I will do the same on you.
The slope of a line f(x) is greater than the slope of a line g(x). Therefore, option A is the correct answer.
The coordinate points on equation of line g(x) are (0, 2), (5, 4) and (10, 6) and f(x) are (3, 1) and (0, -1).
What is slope of equation of a line?The slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope can be determined using the formula, slope = (y2-y1)/(x2-x1).
Now, slope of a line g(x) is (4-2)/(5-0)
=2/5
Slope of a line f(x) is (-1-1)/(0-3)
=2/3
The slope of a line f(x) is greater than the slope of a line g(x). Therefore, option A is the correct answer.
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Question 9 options: Solve for the value of X. X2 = 36
Answer:
The answer would be x = 6 , − 6
Step-by-step explanation:
x 2 = 36
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x = ± √ 36
The complete solution is the result of both the positive and negative portions of the solution.
Which give you the answer of x = 6 , − 6
PLEASE HELP The sample of six measurements shown below was randomly selected from a normally distributed population. Complete parts a through c.
Answer:
The question is not complete.
I believe this is the correct complete question:
The following sample of six measurements was randomly selected from a normally distributed population: 1, 3, -1, 5, 1, 2.
a. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis,
μ<3 Use α=.05
b. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis,
μ≠3 Use α=.05
c. Find the observed significance level for each test.
Step-by-step explanation:
We will first find the standard deviation (S.D) of the six measurements.
To find the S.D, we calculate the mean and variance
Mean = ∈n/n where ∈n = sum of set of numbers n
Mean = [1+3+(-1)+5+1+2] / 6 where n = 6
Mean = 11/6 = 1.8
Variance = Sum of squared deviation from mean / n-1
Variance = [(1-1.8)² + (3-1.8)² + (-1-1.8)² + (5-1.8)² + (1-1.8)² + (2-1.8)²] / 6-1
Variance = [0.64 + 1.44 + 7.84 + 10.24 + 0.64 + 0.04] / 5 = 20.84/5 = 4.168
Standard Deviation S.D = √Variance = √4.168 = 2.041
(a) [tex]H_{o}[/tex] : μ=3, [tex]H_{a}[/tex] : μ<3
Using α=0.05
test stat = {mean - μ[tex]_{o}[/tex]] / S.D /[tex]\sqrt{n}[/tex] = [1.8 - 3] / [2.041/ √6
test stat = -1.2 / 0.833 = -1.44
Critical Value from Student T distribution is t[tex]_{a}[/tex] = 2.015
Therefore, the rejection value contains values < -2.015
-1.400 > -2.015. It Fails to reject [tex]H_{o}[/tex]
(b) [tex]H_{o}[/tex] : μ = 3, [tex]H_{a}[/tex] : μ ≠ 3
Using α=0.05
test stat = {mean - μ[tex]_{o}[/tex]] / S.D /[tex]\sqrt{n}[/tex] = [1.8 - 3] / [2.041/ √6
test stat = -1.2 / 0.833 = -1.44
Critical Value from Student T distribution is t[tex]_{a}[/tex] = 2.571
Therefore, the rejection value contains values < -2.571 and larger value to 2.571
2.571 > -1.400 > -2.571. It Fails to reject [tex]H_{o}[/tex]
(c) Significance Value of (a) is P-value > 0.100
Significance Value of (b) is P-value > (2 x 0.100 = 0.200)
What is the value of 36x-8y² when x = 3 and y= 6
Answer:
-180
Step-by-step explanation:
just simply put the values in place of variables and solve
36(3) - 8(6)^2
108 - 8(36)
108 - 288
-180
Answer:
-180
Step-by-step explanation:
Plug in the variable numbers: [tex]36(3) - 8(6)^{2}[/tex] 36 × 3 = 108Plug 108 in: [tex]108 - 8(6)^{2}[/tex] [tex]6^{2}[/tex] = 6 × 6 = 36Plug 36 in: [tex]108 - 8(36)[/tex] 8 × 36 = 288Plug 288 in: 108 - 288108 - 288 = -1802. Graph: y = x+2
please help
Answer:
Start at (0,2) and draw a line to (3,1)
Step-by-step explanation:
Since +2 is the y-intercept, we must start there.
Always remember the saying "rise over run". Since -1 is the "rise", we must go down one, "3" is the run, so we must move over to the right 3 times.
(a) A mixed hockey team of 11 must have at least 5 boys and at least 5 girls. There are 7 boys and 8 girls available for selection. How many different teams can be selected? (b) One of the girls, Caitlin, is selected as captain of the team and must play every game. One of the boys, Stephen, is injured and can no longer play. How many teams can be selected now? Pls answer asap
Answer:
A) I) 49 teams
II)63 teams
B) 28 teams
Step-by-step explanation:
A) a team of 5 boys and 6 Girls
=7C5+ 8C6
= 21+28
= 49 teams
a team of 6 boys and 5 girls
= 7C6 + 8C5
= 7+56
= 63 teams
B) one girl is kept constant already and a guy has injury
Girls remaining to choose from 7
Boys remaining to choose from 6
= 1 +7C5 + 6C5
= 1+21+6
= 28 teams
For which equation would x=12 be a solution? x+12=30 15+×=15 x+5=18 12+×=24
Answer:
12+x=24
Step-by-step explanation:
To do this you would just plug in 12 for x to each equation and when you do that the only one that would be right would be 12+x=24
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answer: 12 + x = 24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~x + 12 = 30
x = 18.
---------------------------------
15 + x = 15.
x = 0
---------------------------------
x + 5 = 18
x = 13
---------------------------------
12 + x = 24x = 124. Solve 9k + 3 > 6k - 18.
k> -7
k > 5
k> -5
O
k> 7
Answer:
k > - 7Step-by-step explanation:
9k + 3 > 6k - 18
To solve the inequality shown first group like terms.
That's send the constants to the right side of the inequality and those with variables to the left side.
We have
9k - 6k > - 18 - 3
Simplify
3k > - 21
Divide both sides by 3
We have the final answer as
k > - 7Hope this helps you
Evaluate the function for an input of 0.
Answer: 4.
Step-by-step explanation:
As you can see from the table in you input 0 into the function your output will be 4.
the formula for the volume of a cylinder is v = πr2h, where V is volume, r is radius, and h is height. what is the volume of a cylinder that is 6 inches high and has a radius of 3 inches
Answer:
169.65
Step-by-step explanation:
State the domain and range of the following function using set notation. G(x)= -5x2 write the domain of the function set
The domain of the function is [tex]\mathbb{R}[/tex] or in set notation [tex](-\infty, \infty)[/tex].
The range of the function is [tex][0, -\infty)[/tex].
Hope this helps.
A class collects $50 to buy flowers for a classmate who is in the hospital. Roses cost $3 each, and carnations cost $2 each. No other flowers are
to be used. How many different bouquets could be purchased for exactly $50?
Answer:
8
Step-by-step explanation:
You can set up an equation 50=2x+3y where x is the number of carnations and y is the number of roses. Then, you can express x as x=25-3/2y. As x must be positive, you can write 25-3/2y>0, 25>3/2 y. So, y can be 2,4,6,8,10,12,14,16 and the corresponding x's giving u 8 combinations.(20 points) A statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20: (a) Compute the p-value in order to test H0 : = 100 against H1 : 6= 100: (b) Compute the p-value in order to test H0 : = 100 against H1 : > 100:
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
A researcher conducts a study on the effects of task difficulty (easy, hard) and presence of others (no one else present, 5 other people present) on task performance. Task performance is assessed by measuring how many Sudoku puzzles a participant is able to complete in 30 minutes. Below are the mean numbers of correct responses for each of the resulting conditions in the study. Easy Difficult No one else present 7 9 Five others present 14 2 The results from this study indicate there is ________________________________________.
Answer:
gcyj gc yj g
Step-by-step explanation:
cgyj jc y gc jyjgcjc gj gcjg jg jgjy g yjcgj
Which of the following is a typical cost associated with renting?
a closing costs
b. down payment
C.
property tax
d. security deposit
Please select the best answer from the choices provided
OA
ОВ
ОС
OD
Answer:
The answer is C. Property tax.
Step-by-step explanation:
An example of a typical cost that is not associated with renting include the following: C. property tax.
What are the types of tax?In Economics, there are different types of tax that are being levied on individuals or business organizations by the government, and these include the following:
Sales tax
Income tax
Property tax
here, we have,
Generally speaking, property taxes are typically determined with respect to the monetary value of a property in real estate. This ultimately implies that, property taxes are typically determined based on the monetary value that is associated with a property.
In conclusion, last month's rent, security deposit, and pet deposit are examples of cost that are associated with renting.
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If a string that is 15.5 inches long is cut into equal peices that are 1.25 inches long how many prices of ribbon can be created
Answer:
12.4 pieces of ribbon
Step-by-step explanation:
When looking in the question, we can see the term "cut into equal pieces." This can insure to us that we need to divide two numbers. Since we originally have 15.5 inches long string, and we want to cut it into strings that are 1.25 inches long. We divide :
15.5 / 1.25
==> 12.4
You weigh six packages and find the weights to be 35, 25, 75, 30, 70, and 65 ounces. If you include a package that weighs 155 ounces, which will increase more, the median or the mean?
Answer:
Neither, they increase by the exact same amount.
Step-by-step explanation:
With the first data set you have a mean of 50 and a median value of 50 as well because to find a median of an even set of numbers you take the two middle values and average them together, in this case being 35 and 65 averaging out to 50. Adding 155 to this data set increases the mean to 65 and the median value to 65 as well, making this a trick question because the increase is the exact same.
At midnight,the temperature is at 34 degress Fahrenheit.The temperature decreases 3 degrees each hour until 2:00 am. The temperature then increases 2 degrees each hour until 7:00 am. What is the temperature at 7:00 am
What is the difference between the values of 3, 3.0, and 3.00?
Answer:
There is no difference.
Step-by-step explanation:
When it comes to significant figures, they matter.
However, if you just add zeros, they essentially just become placeholders. 3 already has 0 for decimals, so it is equal to 3.0 and 3.00.
61 sample problems. The new algorithm completes the sample problems with a mean time of 14.06 hours. The current algorithm completes the sample problems with a mean time of 16.43 hours. Assume the population standard deviation for the new algorithm is 3.004 hours, while the current algorithm has a population standard deviation of 4.568 hours. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Le
Answer:
There is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm
Step-by-step explanation:
From the question we are told that
The sample size for each algorithm is [tex]n_1 = n_2 = n = 61[/tex]
The sample mean for new algorithm is [tex]\= x_1 = 14.06 \ hr[/tex]
The standard deviation for new algorithm is [tex]\sigma _1 = 3.004 \ hr[/tex]
The sample mean for the current algorithm is [tex]\= x_2 = 16.43 \ hr[/tex]
The standard deviation for current algorithm is [tex]\sigma _2 = 4.568[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu _2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Here [tex]\mu _1 \ and \ \mu_2[/tex] are population mean for new and current algorithm
Generally the test statistics is mathematically represented as
[tex]Z = \frac{ \= x _1 - \= x_2 }{ \sqrt{\frac{ \sigma_1 ^2 }{n_1} + \frac{\sigma^2_2 }{ n_2}} }[/tex]
=> [tex]Z = \frac{ 14.06 - 16.43 }{ \sqrt{\frac{ 3.004^2 }{61} + \frac{4.568^2 }{ 61}} }[/tex]
=> [tex]Z = -3.39[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < -3.39 )[/tex]
From the z-table
[tex]P(Z < -3.39 ) = 0.0003[/tex]
=> [tex]p-value = P(Z < -3.39 ) = 0.0003[/tex]
From the calculated value we see that [tex]p-value < \alpha[/tex] hence the null hypothesis is rejected
Hence we can conclude that there is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm