Answers
Answer:
31.9secs
6,183.3m
Step-by-step explanation:
Given the equation that models the height expressed as;
h(t ) = -4.9t²+313t+269
At the the max g=height, the velocity is zero
dh/dt = 0
dh/dt = -9,8t+313
0 = -9.8t + 313
9.8t = 313
t = 313/9.8
t = 31.94secs
Hence it takes the rocket 31.9secs to reach the max height
Get the max height
Recall that h(t ) = -4.9t²+313t+269
h(31.9) = -4.9(31.9)²+313(31.9)+269
h(31.9) = -4,070.44+9,984.7+269
h(31.9) = 6,183.3m
Hence the maximum height reached is 6,183.3m
Related Questions
CHECKING YOUR UNDERSTANDING
Choose the letter of the best answer. Write the chosen letter on a separate sheet of
paper
1. A dinner plate has a diameter of 10.2 cm. What is the area of the dinner plate?
A. 81.67 cm
C. 93.84 cm
B. 85.12 cm
D. 100.02 cm
2. A dog is tied to a wooden stake in a yard. His leash is 3 m long, and he runs around
in circles pulling the leash as far as it can go. How much area does the dog have
to run around ?
A. 26.28 m2
C. 29.66 m2
B. 28.26 m2
D. 32.28 m²
3. A storm is expected to hit 7 mi in every direction from a small town of Malabon.
What is the area that the storm will affect?
A. 116.68 mi
C. 150.67 mi
B. 124.83 mi
D. 153.86 mi
4. Every December, an amusement park is constructed in Malabon Robinsons Town
mall. A carousel is the most favorite ride of the kids there. The diameter of the
carousel is 20.5 m. What is the area of the carousel?
A. 329.90 m²
C. 392.90 m2
B. 328.90 m2
D. 391.90 m2
5. A lawn sprinkler sprays water 4.5 ft in every direction as it rotates. What is the area
of the sprinkled lawn?
A. 56.885 ft
C. 63.585 ft
B. 60.855 ft
D. 65.385 ft
Answers
Answer:
1) 81.67 cm² (Option A)
2) 28.26 m² (Option B)
3) 153.86 mi.² (Option D)
4) 329.90 m² (Option A)
5) 63.585 ft.² (Option C)
Step-by-step explanation:
GENERAL FORMULAES TO BE USED IN THIS QUESTION :-
Diameter of a circle with radius 'r' = 2r
Area of a circle with radius 'r' = πr²
SOLUTION :-
1) Diameter of the dinner plate = 10.2 cm
Radius of the dinner plate = 10.2/2 = 5.1 cm
⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²
2) Length of his leash = 3m
⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²
3) Radius of the circular range of storm = 7 mi.
⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²
4) Diameter of carousel = 20.5 m
Radius of carousel = 20.5/2 = 10.25 m
⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²
5) Radius of the range of sprinkler = 4.5 ft.
⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²
A company has machinery calibrated for a certain widget to manufacture the product so that all of the products will average out to a mean weight of 7 grams and a standard deviation of 2 grams. What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
Answers
Answer:
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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 weight of 7 grams and a standard deviation of 2 grams.
This means that [tex]\mu = 7, \sigma = 2[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]
What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
Is it possible to construct a triangle with the given side lengths?
1 ft, 6 ft, 9 ft
Yes or no?
Answers
EXPLAINTION
The universal set is the set of rational numbers. S is the set of integers.
Which represents SC?
{x|x is a real number}
{x|x is a rational number}
{x|x is a rational positive number}
{x|x is a rational non-integer}
Answers
Answer:
It's D on EDGE
Step-by-step explanation:
The compliment of the set S is {x|x is a rational non-integer}
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the universal set be represented as U
where the value of U is
U = {x|x is a rational numbers}
And , let the second set be represented as S,
where S = {x|x is an integer}
Now , the compliment of set S is given by = S'
And , S' = 1 - S
On simplifying , we get
S' = 1 - {x|x is an integer} and it belongs to U
So , S' = {x|x is a rational non-integer}
Hence , the set is S' = {x|x is a rational non-integer}
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the table below shows the distribution of students in Mrs. boxer 6th grade class what is the ratio of the number of girls to the total number of students ? * it is 15 boys and 12 girls. Write each ration as a fraction
Answers
Answer:
Ratio is 12:27 ratio as a fraction is 12 over 27
Step-by-step explanation:
no need for explaination lolz
If f(x) = 3x - 2 and g(x) = -x + 4, find (g o f)(x).
Answers
Answer:
-3x + 6
Step-by-step explanation:
(gof) = -(3x-2)+4
= -3x + 2 + 4
= -3x + 6
Two parallel lines cut by a transversal are shown. What is the measure of X"?
Answers
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The marked angles are "alternate interior" angles, so are congruent.
(x° +20°) = (4x° -10°)
30 = 3x . . . . . . . . . . . . . . . divide by °, add 10-x
10 = x . . . . . . divide by 3
what is the value of x over 20 = 5 over 8
Answers
Answer:
x = 12.5
Step-by-step explanation:
The price of a gallon of milk follows a normal distribution with a mean of $3.20 and a standard deviation of $0.10. What proportion of the milk vendors have prices that were less than $3.12 per gallon
Answers
Answer:
[tex]P(x<3.12)= 0.21186[/tex]
Step-by-step explanation:
Mean [tex]\=x=\$3.20[/tex]
Standard deviation [tex]\sigma =\$0.10[/tex]
Estimated price [tex]y=\$3.12[/tex]
Generally the equation for P(x<3.12) is mathematically given by
[tex]P(x<3.12)=P(\frac{y-x}{\sigma}<-\frac{3.12-3.20}{0.10})[/tex]
[tex]P(x<3.12)=(z<-0.8)[/tex]
Since from Z table
[tex]P(x<3.12)= 0.21186[/tex]
Therefore the proportion of the milk vendors that have prices that were less than $3.12 per gallon is
[tex]P(x<3.12)= 0.21186[/tex]
Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the work would help me see where and if shes wrong.
Answers
Answer:
Step-by-step explanation:
scam . smď
eric has 20 toy trains. Tommy has 3 times as many. How many toy trains does tommy have?
Answers
Answer:
20 times 3, do the math and you get
Answer:
60
Step-by-step explanation:
20x3=60 ............
A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The observed z value from sample data is ‑2.05. The decision made by the researcher based on this information is to _____ the null hypothesis.
Answers
Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: [tex]z_c[/tex]
Test statistic: z
If [tex]|z| < |z_c|[/tex], we do not reject the null hypothesis.
If [tex]|z| > |z_c|[/tex], we reject the null hypothesis.
In this question:
[tex]z_c = 1.96, z = -2.05, |z| = 2.05[/tex]
Since [tex]|z| > |z_c|[/tex], we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
What number is the best prediction! Please help :(
Answers
Answer:
28
Step-by-step explanation:
Find the value of x
Answers
Answer:
Hello! answer: x = 4
Step-by-step explanation:
Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!
180 degree line-
180 = (8x + 120)
-120
60 = 8x
/8
7.5
x = 7.5
7(7.5) = 52.5
Please help fast..........
Answers
Answer:
Where's the picture?
In the "magic square" at the right, the four numbers
in each column, in each row, and in each of the two
diagonals, have the same sum. What value should N
have?
URGENT PLEASE HELP DUE ON THURSDAY 5/27/2021
Answers
Answer:
15
Step-by-step explanation:
find the value of X and please show your work.
Answers
Answer:
x= -22
Step-by-step explanation:
3x=5x+44
subtract 2x from both sides and leave only x on one side 3x(-2x)=5x(-2x)+44
then you get
x=3x+44
then you subtract the 3x to both sides
x(-3x)=3x(-3x)+44
then you get
-2x=44
and divide 2 on each side so-
x= -22
A right triangle has legs with lenghts of 7 units and 12 units. What is the area of the triangle?
Answers
Answer:
area of triangle =1/2 x b x h
Step-by-step explanation:
=1/2 x 7 x 12
= 1/2 x 84
= 42 units
Find the measure of angle x, if possible. Round to the nearest tenth. (If not possible, enter IMPOSSIBLE.)
Answers
you made a batch of 24 cookies for school your brother ate 7 of them without asking you. What fraction of your cookies are left?
Answers
Explanation:
24/24 is your original amount.
24 - 7 = 17.
So now you have 17/24! :D
HELP ASAP I WILL MARK BRANLIEST!!!
This probability distribution shows the
number of times a group of people takes
selfies before liking them.
Retakes
o
1
2
3
4
Frequency
27
29
18
14
12
Using this distribution, find the probability that a
person will retake their sexfie exactly 3 times.
p = [?]
Answers
Answer:
0.14
Step-by-step explanation:
0.14 is the probability that a person will retake their sexfie exactly 3 times.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given
Total frequency = 27+29+18+14+12 = 100
frequency of 3 retakes = 14
p(r) = frequency of 3 retakes/ Total frequency
p(r) = 14/100 = 0.14
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Find the measure of the missing interior angle of the polygon.
Answers
Answer: 224
Step-by-step explanation:
The total degrees of a 7-sided shape is 900. You can find that out using the equation (n-2) times 180. Where n is the number of sides. If you add up all the interior angles they equal 676. Then just subtract 676 from 900. 900-676= 224 degrees. That is the missing interior angle.
BRAINLIEST
PLEASE HELP
10PTSS
A scale drawing of Julie's living room is shown below:
If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?
Answers
How do your write a feaction with a denominator of 20 as a decimal?
Answers
Answer:
Step-by-step explanation:
What is 20 as a decimal? To write 20 as a decimal you have to divide numerator by the denominator of the fraction. 20 is not a fraction so it is a decimal already. And finally we have: 20 as a decimal equals 20
write a function rule for the statement. The output is five times the input.
Answers
Answer:
y=5x
Step-by-step explanation:
If the input is x, then the out put is 5x. So y=5x
How do we find the perimeter of a shape 20mm 10mm 20mm 60mm 20mm
Answers
Answer:
130mm
Step-by-step explanation:
I'm pretty sure you mean each of the sides is this length... so I'll go off of that. 20+10+20+60+20 is the addition for this problem.
20+10+20+60+20=130 is the answer.
How do I get the answer
Answers
Answer:
-9Step-by-step explanation:
[tex] - |3a + \sqrt{b} | [/tex]
By putting the values of a = -4 , b = 9,
[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]
[tex] = - | - 12 + 3| [/tex]
[tex] = - | - 9| [/tex]
= -(9)
= -9 (Ans)
Answer choices)
A. (2/3x, 2/3y)
B. (3/2x, 3/2y)
C. (1/2x, 1/2y)
D. (2x, 2y)
Please help me :((
Answers
9514 1404 393
Answer:
B. (3/2x, 3/2y)
Step-by-step explanation:
It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:
3/2
Dilation about the origin multiplies each coordinate value by the scale factor:
(x, y) ⇒ (3/2x, 3/2y)
(4y − 3)(2y2 + 3y − 5)
Answers
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
the correct expression is
(4y − 3)(2y^2 + 3y − 5)
Given data
We have the expression
(4y − 3)(2y^2 + 3y − 5)
let us open bracket
8y^3+12y^2-20y-6y^2-9y+15
Collect like terms
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
A person invests 6500 dollars in a bank. The bank pays 6.5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?