The height meters of a mass projected vertically upwards at a time seconds s=ut-0.5gt².
Determine how long the mass will take after being projected to reach a height of 16m on the ascent.
b. on the descent when u=30m/s and g=9.8m/s
Answers
9514 1404 393
Answer:
t ≈ 0.590 s (ascent); 5.532 s (descent)
Step-by-step explanation:
We are interested in the values of t when s=16.
s = 30t -4.9t²
4.9t^2 -30t +16 = 0 . . . . . substitute 16 for s; put in standard form
The quadratic formula can be used to find the solutions:
t = (-(-30) ±√((-30)² -4(4.9)(16)))/(2(4.9))
t = (30 ±√586.4)/9.8 ≈ 0.59023, 5.53221 . . . . seconds after launch
a) It will take 0.590 seconds to reach 16 m height initially.
b) It will take 5.532 seconds to return to 16 m height on descent.
Related Questions
The scores of individual students on the ACT Exam are modeled as normally distributed with a mean of19.6 and a standard deviation of 5.0. At Voldemort High, 64 seniors take the test. Assume the individualscores at this school are modeled using the same distribution as national scores. What is the samplingdistribution of the sample average score for this random sample of 64 students
Answers
Answer:
The sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation 0.625.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 19.6 and a standard deviation of 5.0.
This means that [tex]\mu = 19.6, \sigma = 5[/tex]
What is the sampling distribution of the sample average score for this random sample of 64 students?
By the Central Limit Thoerem, the sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation [tex]s = \frac{5}{\sqrt{64}} = \frac{5}{8} = 0.625[/tex]
1738.279 into 2 decimal places
Answers
Answer:
1738.28
Step-by-step explanation:
Given that
The number is 1738.279
We need to round off to 2 decimal places
Now as we know that
If the rounded number would be followed by 0, 1, 2, 3 or 4, so the number would be down
Let us suppose the number is 32 so it would be 30
If the rounded number would be followed by 5,6,7,8 or 9 so the number would be up
Let us suppose the number be 37 so it would be 40
Now as per the given case, the number is 1738.279
So after rounding to 2 decimal places, the number is 1738.28
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
Answers
Answer:
Step-by-step explanation:
You are wrapping a gift box that is 16 inches long, 7 inches wide, and 9 inches tall. Find the amount of wrapping paper you need to wrap the gift box to the nearest square inch.
... will make brainliest ...
Answers
Answer:
638 in.²
Step-by-step explanation:
Assuming you need to cover just the surface area of the box with no overlaps, and the shape is a rectangular prism, then you need to find the surface area of a rectangular prism.
SA = PH + 2LW
where
P = perimeter of base = 2(L + W),
H = height of prism
L = length of base
W = width of base
SA = 2(16 + 7)(9) + 2(16)(7)
SA = 638
What is the total surface area of the exterior of the box that Laura will cover? I’ll give points + brainalist
Answers
Answer:
The answer is B 100 in^2
Step-by-step explanation:
add 15+11+24 = 50 X 2 = 100
so yeah
good luck :D
Please I need these 2 pages to be answered I’ll give you 100 pts just please do these pages please no links or bad answers
Answers
3. c
4. a
5. a
6.
7. a
8. c
9. c
10. b
11. d
12. can’t read
13. a
14. c
15. b
16. can’t read
17. b
18. can’t read
19. c
20. c
Answer:
Step-by-step explanation:
i don't know sorry
Which expression shows a way to find 5 x 1,625?
A. 5 x (1+6+2 +5)
B. 5 x (1 x 6 x 2 x 5)
C. 5 (1,000 + 600 + 20 + 5)
D. 5 % (1,000 x 600 x 20 x 5)
Answers
5 x (1+6+2+5)
Please solve!!!
3x^2 + 6x + 1
Answers
What is -4/7 as an equivalent fraction
Answers
Answer:
There are many answers
Step-by-step explanation:
So, since we are finding the equivalent fraction there can be many answers
Here are 5 answers that can help you
• -8/14
• -12/21
• -16/28
• -40/70
• -24/42
Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?
A) Vertex (2,1), minimum
B) Vertex (1,2), maximum
C) Vertex (2,1), maximum
D) Vertex (1,2), minimum
Answers
Answer:
B) Vertex (1,2), maximum
Step-by-step explanation:
First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a maximum value.
The maximum is the point that has the greatest y value. We can see that the greatest y value is at [tex]y=2[/tex]. Going down two units from that spot, we can see that the x value is at [tex]x=1[/tex]. We can plug those into the vertex form, [tex](x,y)[/tex]. By plugging in we get the point [tex](1,2)[/tex].
HELO WILL GIVE BRANLIEST!
Answers
Answer:
Step-by-step explanation:
he surface area of a cube is equal to 6 times the side length squared.
SA=68^2
where SA is the surface area and 8 is the side length.
If the side length of the cube is 4 cm each, then let s=4 cm
So the surface area of the 4-cm-side-length cube is:
SA=6∗(4 cm)^2
=6∗16 cm^2
=96 cm^2
The negative integers greater than or equal to -12
Answers
-12
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
And so on..................
(Brainiest please!!!!!)
Answer:
The negative integers are greater than -12
A large school district claims that 80% of the children are from low-income families. 150 children from the district are chosen to participate in a community project. Of the 150 only 70% are from low-income families. The children were supposed to be randomly selected. Do you think they really were
Answers
Incomplete question. However, I answered from a general research perspective.
Explanation:
Note, the term sample used in statistical research refers to subjects or persons carefully selected (using a particular sampling method/type ) to represent the target population.
A randomly selected sample could be done as either:
Simple Random Sampling Stratified Random Sampling Cluster Random Sampling.Systematic Random Sampling.Using any of the above sampling methods could result in 70% of the population being from low-income families as this is a matter of chance. Hence, we can agree with the research results.
Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.
At the null hypothesis, we test if they were really randomly selected, that is, the proportion is of 80%:
[tex]H_0: p = 0.8[/tex]
At the alternative hypothesis, we test if they were not randomly selected, that is, the proportion is of less than 80%.
[tex]H_1: p < 0.8[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.8, n = 150, \overline{p} = 0.7[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.7 - 0.8}{\sqrt{\frac{0.8(0.2)}{150}}}[/tex]
[tex]z = -3.06[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.
A similar problem is given at https://brainly.com/question/24166849
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A D 1 Vertical
Step-by-step explanation:
x always represents 1
Question 1 of 10
Which function results after applying the sequence of transformations to
Rx) = x5?
• compress vertically by
• shift left 2 units
• shift down 1 unit
O A. g(x) = }(x-2)5.1
O B. g(x) = + (x + 2,5-1
O C. g(x) = (3x+2)5-1
O D. g(x) = ž (x-1)5-2
HELP PLEASE ❗️❗️❗️❗️
Answers
Answer:
A (g(x) = }(x-2)5.1).
Step-by-step explanation:
The function which results after the sequence of transformations given is B. g(x) = 1/2 (x + 2)⁵ - 1.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given function is,
f(x) = x⁵
When a function is compressed vertically, then new function formed will be of the form, k f(x), where k is the factor that is compressed.
After compress vertically by 1/2,
f(x) changes to 1/2 f(x) = 1/2 x⁵
After the horizontal translation of 2 units to the left,
1/2 f(x) changes to 1/2 f(x + 2) = 1/2 (x + 2)⁵.
After vertical translation of 1 unit to the down,
1/2 f(x + 2) changes to 1/2 f(x + 2) - 1 = 1/2 (x + 2)⁵ - 1
Hence the correct option is B . g(x) = 1/2 (x + 2)⁵ - 1.
Learn more about Transformations of Functions here :
https://brainly.com/question/13810353
#SPJ7
What is the value of x?
Enter your answer in the box.
x =
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x.
Answers
Answer:
That did not make sense
Answer:
x = 3
Step-by-step explanation:
Verified correct with test results.
Just had to delete the jibberish to find the actual question for this problem:
The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x. What is the value of x?
Can somebody help me with this quickly whoever answers first gets a thanks
Answers
G. From the origin move right 3 units,then up 6 units
H. From the origin move left 2 units,then up 11 units
J. From the origin move right 8 units, then down 10 units
K. From the origin move left 16 units, then down 20 units
L. Plot the first point at the origin then move up 5 units
M. From the origin move left 14 units and plot the next point at the origin
The sales tax in Callie's town is
8.5%. Callie bought 3 DVDs for
$24.60 each and 1 book for $15.20
How much did she pay in sales tax?
Answers
Answer:
7.57
Step-by-step explanation:
2) Assinale a alternativa correta: *
1 ponto
Imagem sem legenda
a) 8
b) 12
c) 14
d) 16
Answers
Answer:
Step-by-step explanation:
¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.
Yuki and Zana are on a swimming team. They often compete against each other in the 100 meter freestyle race. Yuki's times in this race are normally distributed with a mean of 808080 seconds and a standard deviation of 4.24.24, point, 2 seconds. Zana's times are also normally distributed with a mean of 858585 seconds and a standard deviation of 5.65.65, point, 6 seconds. We can assume that their times are independent.
Suppose we choose a random 100 meter freestyle race and calculate the difference between their times.
Find the probability that Yuki's time is faster than Zana's.
You may round your answer to two decimal places.
Answers
Answer:
0.2389 = 23.89% probability that Yuki's time is faster than Zana's.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Subtraction of normal variables:
When normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Yuki's times in this race are normally distributed with a mean 80 seconds and standard deviation of 4.2 seconds. Zana's times are also normally distributed with a mean of 85 seconds and a standard deviation of 5.6 seconds.
Yuki's is faster than Zana if the subtraction of Yuki by Zana is larger than 0.
The mean is:
[tex]\mu = 80 - 85 = -5[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{4.2^2 + 5.6^2} = 7[/tex]
Find the probability that Yuki's time is faster than Zana's.
This is P(X > 0), which is 1 subtracted by the pvalue of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7}[/tex]
[tex]Z = 0.71[/tex]
[tex]Z = 0.71[/tex] has a pvalue of 0.7611
1 - 0.7611 = 0.2389
0.2389 = 23.89% probability that Yuki's time is faster than Zana's.
I need help please !!!!!!!!
Answers
Answer:
B. 7√3
Step-by-step explanation:
30-60-90 triangles have special side proportions that would be very beneficial to memorize because I guarantee you will use it in the future.
Please see the attached image.
The answer is 7*√3=7√3
Students in a management science class have just received their grades on the first test. The instructor has provided information about the first test grades in some previous classes as well as the final average for the same students. Some of these grades have been sampled and are as follows:
(a) Develop a regression model that could be used to predict the final average in the course based on the first test grade.
(b) Predict the final average of a student who made an 83 on the first test.
(c) Give the values of r and for this model. Interpret the value of in the context of this problem. Student 1 2 3 4 5 6 7 8 9 1st test grade 98 77 88 80 96 61 66 95 69 final average 93 78 84 73 84 64 64 95 76
Answers
Answer:
A.) ŷ = 0.73986X + 18.98921
B.) 80
C.) r = 0.9205
Step-by-step explanation:
Given :
1st test grade (X) :
98
77
88
80
96
61
66
95
69
final average (Y) :
93
78
84
73
84
64
64
95
76
Using a linear regression calculator :
The model obtained is :
ŷ = 0.73986X + 18.98921
Student with x = 83
ŷ = 0.73986(83) + 18.98921
ŷ = 80.39759
ŷ = 80 (nearest whole number)
The R value is : 0.9205 which shows that there is a strong linear correlation between the first test grade and the final average a student Obtian in an exam because the r value is very close to 1.
R² = √0.9205 = 0.8473 ; this means about 84.73% of variation in final average can be explained by the regression line.
Which triangle side lengths form a right triangle? Choose all that apply.
➪ 5, 6, 7
➪ 6, 8, 14
➪ 8, 15, 17
➪ 10, 12 15
➪ 15, 20, 15
➪ 16, 18, 20
Answers
Your answer would be C (8,15,17) and E (15,20,15) or is it 25?
Step-by-step explanation:
:)
NO LINKS PLEASE
What are the 3 missing numbers on the 3 blanks?
Answers
Answer:
[tex]y=\frac{3}{2} x+0[/tex]
Step-by-step explanation:
points on the line are:-
[tex](0,0) and(2,3)[/tex]
[tex]m=\frac{3-0}{2-0} =\frac{3}{2}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{3}{2} x+b[/tex]
[tex]0=\frac{3}{2}(0)+b[/tex]
[tex]0=b[/tex]
so...
[tex]y=\frac{3}{2} x+0[/tex]
[tex]---------[/tex]
hope it helps...
have a great day!!
Mr. Beck has 5 brown socks, 1 pair of green socks, and 4 pairs of blue socks in his sock drawer. If he randomly chooses one pair from the drawer, what is the probability that he will choose a blue pair of socks?
a. 1/2
b. 1/10
c. 3/5
d. 2/5
Answers
Answer:
D. 2/5
Step-by-step explanation:
First, find the total number of sock pairs in his drawer:
5 + 1 + 4
= 10
Since there are 4 pairs of blue socks, the probability that he will choose a blue pair of socks is 4/10.
This can be simplified by dividing each number by 2.
Simplified, the probability is 2/5.
So, the correct answer is D. 2/5
sum of -4/5 and -5/12. please answer.
Answers
Answer:
[tex]- 1 \frac{13}{60} [/tex]
Step-by-step explanation:
[tex] - \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60} [/tex]
Hope this helps you.
Can I have the brainliest please?
Find the value for x
Answers
Answer:
x=4
Step-by-step explanation:
The two angles together are complementary, which means they add up to 90 degrees
solving for x:
9x+4x+38=90
9x+4x=13x
13x+38=90
13x+38-38=90-38
13x=90-38
13x=52
x=4
hope this helps ^D^
Answer:
9x=4x+38
5x=38
x=38/5
Step-by-step explanation:
dividing fractions
16 4
__ ÷ __
21 9
to find the answer we are using KCF( keep change flip)
Answers
Answer:
36/21 (simplified)
Step-by-step explanation:
To use KCF, multiply by the reciprocal. 16/21 x 9/4
Just flip the denominator with the numerator
A factory makes 1554 units in 14 days with the help of 20 workers. If 2 workers go on leave, how many units can be produced, if there are only 10 days?
Answers
Triangles JKL and PQR are congruent, where I corresponds to P, and K corresponds to Q.
The measure of angle J is 20°, the measure of angle K is 15°, and the measure of angle L is 145º.
What is the measure of angle P?
15°
20°
35°
145°
PLEASE HELPPPP
Answers
Answer:
20°
Step-by-step explanation:
Congruent Triangles:
If two triangles are congruent, their angles have the same measure.
Angle P corresponds to Angle J
Angle J measures 20º, so angle P will also measure 20º