A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.
Answers
9514 1404 393
Answer:
7.7 seconds
Step-by-step explanation:
The solution is given by the quadratic formula.
For ax² +bx +c = 0, the roots are ...
x = (-b±√(b²-4ac))/(2a)
We want the positive root, so ...
x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658
The rocket will hit the ground about 7.7 seconds after it is launched.
Related Questions
⸸ ⸸ ⸸ you're valued ⸸ ⸸ ⸸
Answers
I'd like to look at this as both a math joke and a warm message.
Thank you, love.
40 pts please help!
Which of the following is a tangent line to circle O?
a. line EF
b. segment OD
c. segment BC
d. line AG
Answers
Answer:
d.
Step-by-step explanation:
line AG is the answer because a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.
Answer:
d. line AG
Step-by-step explanation:
A tangent is a line that just 'touches' the curve of a circle, and doesn't intersect it.
We can see that since AG touches the circle, and since the other lines all intersect the circle, the tangent here is AG
Mr. Newman owns a sporting good store. He got a shipment of 49 baseball bats. 21 of them were wooden bats, and the rest were aluminum. What fraction of the bats were wooden?
Fill in the answer in simplest form.
Answers
Answer:
3/7
Step-by-step explanation:
What is the result of subtracting the second equation from the first?
8x - 4y = -4
-3x + 4y = 5
Answers
Answer:
See belowStep-by-step explanation:
Given system:
8x - 4y = -4 -3x + 4y = 5Subtracting the second equation from the first:
8x - 4y - (-3x + 4y) = -4 - 58x + 3x - 4y - 4y = -911x - 8y = -9It ends here
============================
Would be better to add the equations to eliminate y and solve the system:
8x - 4y + (-3x + 4y) = -4 + 55x = 1x = 0.2Find y:
8*0.2 - 4y = -44y = 1.6 + 44y = 5.6y = 1.4Solution (0.2, 1.4)
Chad has $53, and each shirt costs $12. He writes the equation shown. 53 ÷ 12 = 4 R 5 What does the number 5 represent in terms of Chad's money? what is answer for this O.O
Answers
Answer:
The 5 represents how much money is left
Answer:
The remainder of the money(how much money is left)
Step-by-step explanation:
the remainder is 5. This means that he has $5/12 left.
how should you write the proportion 9:36=10:40 using words
Answers
Answer:
Nine to thirty-six equals ten to forty.
Step-by-step explanation:
The word ‘to’ can be substituted in for the colon (:). This is to denote the mathematical concept of ratios.
The word ‘equals’ can be used in place of the equal sign (=).
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis
Answers
Answer:
Alternative Hypothesis:H₁: μ ≠ 0.41
Step-by-step explanation:
Step(i):-
Given that the newscast reaches 41% of the viewing audience in the area
The mean of the Population = 0.41
Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station
Given that the mean of the sample = 0.36
Step(ii):-
Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.
Given data
Null hypothesis: H₀ : μ = 0.41
Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis
Alternative Hypothesis:H₁: μ ≠ 0.41
OMG HELP PLSSS!!/ Each cube in the figures below is one cubic unit. Which figure does not have a volume of 48 cubic units? Select all that apply. A. Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet. B. Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet. C. Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet. D. Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.
Answers
Answer:
C & D
Step-by-step explanation:
A. = 48 cubic units
B. = 48 cubic units
C. = 64 cubic units
D. = 44 cubic units
The only rectangular prism that does not have a volume of 48 cubic units is C and D, which has a volume of 64 and 44 cubic feet respectively.
What is prism?A prism is a three-dimensional solid object with two identical ends. It is made up of flat faces, identical bases, and equal cross-sections. The prism's faces are parallelograms or rectangles without bases.
To find the volume of each rectangular prism, you can use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet.
V = (8)(2)(3) = 48 cubic feet
Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet.
V = (6)(2)(4) = 48 cubic feet
Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet.
V = (4)(4)(4) = 64 cubic feet
Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.
V = (11)(2)(2) = 44 cubic feet
Thus, the only rectangular prism that does not have a volume of 48 cubic units is C and D.
For more details regarding prism, visit:
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In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)
Answers
Answer:
a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.
The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
Question b:
90% confidence interval means that [tex]Z = 1.645[/tex]
The margin of error is:
[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]
43.78 - 1.701 = 41.079%
43.78 + 1.701 = 45.481%
The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Someone please help!!!
Answers
Answer:
27 cubic cm
Step-by-step explanation:
volume of cube = a^3
= 3*3*3 = 27 cubic cm
Answer:
27 cubic cm
Step-by-step explanation:
W x L x H
3 x 3 x 3
Hope it helps ^^
PLEASE LOOK AT THE IMAGE BELOW (I MARK BRAINLIEST!)
Answers
Answer:
1.True
2.False
3.False
Step-by-step explanation:
1. b is less down the number line than a
2. a is more down the number line and the positive version is higher
3. positive is bigger than negative
Find the domain of the function in interval notation: f(x) =1/ x + 22
Answers
That's the answer
x = - 1/22
Each small square in the figure below measures 1 foot on each side what is the area of the triangle
Answers
Answer:
It should be 0.5 if I’m wrong let me know
Step-by-step explanation:
A=HbB/ 2 = 1x1/2=0.5
Paul, Brendan, and Charlie are chopping wood. It would take Paul 10 hours to chop up one cord of firewood. It would take Brendan 12 hours to chop one cord, and it would take Charlie 15 hours to do the same job by himself. How long will it take the three of them working together?
It will take blank hours for the three boys to chop up one cord of firewood.
The solution is
Answers
Answer: It will take the 4 hours
solve 6×1/5 solve the equation
Answers
Step-by-step explanation:
6/5is the answer................
Answer:
1 and 1/5
Step-by-step explanation:
6 times 1/5 is 1/5+1/5+1/5+1/5+1/5+1/5 which equals to 6/5 which also equals to 1 and 1/5
Write the explicit rule
a1=5 d=4
Answers
Let a_1 = 5
Let d = 5 = common difference
S_n = a_1 + (n - 1)d
S_n = 5 + (n - 1)4
Help please.......I’ll give u brain liest
Answers
Answer:
Step-by-step explanation:
Hope this helps
Melinda said that the fort would melt in the fourth month of the year. What month will the fort melt?
Answers: February, March, and April
Answers
Answer:
april
Step-by-step explanation:
Answer:
April is the fourth month of the year! Hope this helps.
Step-by-step explanation:
There are 10 keys and only one of them can open a lock. We do not know which key can open the lock, but we will try them one by one until we find the right key. Let X denote the number of times tried to find the right key what is the pmf of X
Answers
Answer:
thhhhhhheeeeeeeee p.m.f of x
An example of an ordered pair is (1, 5). True or False
Answers
Answer:
yes
Step-by-step explanation:
Explanation: true
If Jordan rode his bike for five days how much hours dose he ride it for? PLEASE COMMENT YOUR ANSWER asp
Answers
Answer: 2880 hours
Explanation: 120 days times 24 hours
Please help me! This is due tomorrow and I really need some help! Thank you.
Answers
Answer:
over 1/2 own a dog
Step-by-step explanation:
Answer:
Over 1/2 of students own a dog.
Step-by-step explanation:
Total number of students: 25 Add the students owning different types of pets
13/25 Number of students owning dogs divided by total number of students
13/26 = 1/2; therefore 13/25 > 1/2
1. Which studio charges more?
2. Raj wants to take 8 classes a month. Which studio is cheaper?
Answers
Answer:It would be the first class
Step-by-step explanation:
Because you are paying $70 per month and get a the class you want. and also i had the sames question also
just because the second class has smaller fees it also says that you have to pay more for every class.
what is the value of 5 in (and the three on the top
Answers
Answer:
5^3 = 125
Step-by-step explanation:
5^3
5 x 5 x 5
=125
Answer:
[tex]5^{3} = 125[/tex]
Step-by-step explanation:
Mark me brainllest
How many times greater is the value of the 9 digit in 90,523 than the 9 digit in 59,112?
Answers
Answer:
I'm pretty sure it's 10,000
Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?
Answers
Answer:
1 Tyler=12in³
3 Tyler =12×3=36in³
help me easy 20 points!!
Answers
Answer:
Step-by-step explanation:
Lilly was working on a report on Italian and Spanish scientists. She decided to find a 96 percent confidence interval for the difference in mean age at the time of significant scientific discoveries for Italian versus Spanish scientists. She found the ages at the time of science discovery of all the members of both groups and found the 96 percent confidence interval based on a t-distribution using a calculator. The procedure she used is not appropriate in this context because
The entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
The sample sizes for the two groups are not equal.
Age at the time of science discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
Age at the time of science discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
Age at the time of science discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid.
A t statistic was used to conduct a test of the null hypothesis H0: µ = 11 against the alternative Ha: µ ? 11, with a p-value equal to 0.042. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 11?
A. A 90% confidence level
B. A 92% confidence level
C. A 96% confidence level
D. A 97% confidence level
E. A 98% confidence level
Answers
Answer:
The answer is "Option A and Option B".
Step-by-step explanation:
In question 1:
In all cases, the entire population is measured so that the actual medium discrepancy could be measured as well as an interval of trust cannot be used.
This issue would be that she calculated the ages with all representatives of both classes, such that she measured a whole population. It's not necessary.
In question 2:
When the p-value is 0.042. At 90% trust and 92% trust level 11 (p-value below 0.10 and 0.08) are not included. however the biggest confidence level of 92%. Consequently, the largest trust level where the 11 is Not included in the trust interval is 92% trust.
hellllllp !!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
N is the midpoint.
Step-by-step explanation:
A police officer claims that the proportion of drivers wearing a seat belt in a certain area is less than 40%. To test this claim, the officer collects a random sample of 80 drivers and monitors if the driver was wearing a seat belt. From this sample of 80 drivers, the police offers observes that 34 were wearing seat belts. Assume the conditions needed to conduct a one sample proportion test are satisfied. The setup for the null and alternative hypothesis is as follows: H0:p=0.40; Ha:p<0.40, which is a left-tailed test. The test statistic and p-value for this Hypothesis test are given as follows: z=0.456, p-value=0.676. Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.
Answers
Answer:
Fail to reject the null because the p-value is greater than significance level (0.05). Therefore we have convincing evidence that the proportion of drivers wearing a seat belt is equal to 40%.
Step-by-step explanation:
I am assuming that the significance level is 0.05, so we would fail to reject the null, because the p-value is 0.676 which is greater than the significance level. Whenever the p-value is greater than the signifigance level we fail to reject the null.