Answer:
The rocket will reach its highest point about 2.04 seconds.
Step-by-step explanation:
The function:
[tex]f(t)=-4.9t^2+20t[/tex]
Models the relationship between the height of the rocket and the time after launch t in seconds.
Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -4.9, b = 20, and c = 0. Thus:
[tex]\displaystyle t=\frac{-(20)}{2(-4.9)}=\frac{10}{4.9}\approx 2.04[/tex]
The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.
Further Notes:
Then the maximum height of the rocket will be f(10/4.9):
[tex]\displaystyle f\Big(\frac{10}{4.9}\Big)=-4.9\Big(\frac{10}{4.9}\Big)^2+20\Big(\frac{10}{4.9}\Big)\approx20.41\text{ feet}[/tex]
Solve for x leave your answers as a simplified radical
Answer:
D) 3√13
Step-by-step explanation:
6²+9²=x²
36+81=x²
117=x²
x=√117
x=√9√13
x=3√13
Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 56
log 78
log 45
log 98
Answer:log 98
Step-by-step explanation:
What is the slope of the line X=-3?
Answer:
undefined
Step-by-step explanation:
Answer:
The slope is undefined
Step-by-step explanation:
$4,900 is invested in an account earning 7.9% interest (APR), compounded daily.
Write a function showing the value of the account after t years, where the annual
growth rate can be found from a constant in the function. Round all coefficients in
the function to four decimal places. Also, determine the percentage of growth per
year (APY), to the nearest hundredth of a percent.
do 4.9k divided by 7.9 pie
1. Which of the following values are greater than 20? Select ALL correct answers.
(3 Points)
81-43
52 +3
2 - 10
32 +42
Answer:81-43, 52+3, 32+42
Step-by-step explanation:Just do simple addition .
Brianna went into a bakery and bought 2 cookies and 3 brownies, costing a total of $9.50. Nevaeh went into the same bakery and bought 10 cookies and 6 brownies, costing a total of $20.50. Write a system of equations that could be used to determine the price of each cookie and the price of each brownie. Define the variables that you use to write the system.
Answer:
Variable x = cost of cookies
Variable y = cost of brownies
System of equations:
2x + 3y = 9.50
10x + 6y = 20.50
Step-by-step explanation:
Variable x: $ cookies
Variable y: $ brownies
2x + 3y = 9.50
10x + 6y = 20.50
I'm not entirely sure how to explain this one, but my best advice is to just take it step by step when doing these problems. Multiple questions can feel overwhelming so just focus on one question at a time.
What is 27.5 divided by 22
Answer:
1.25
Step-by-step explanation:
Max wants to cover this rectangle with blue tiles I estimate that there would be
I have no idea. Where is the diagram.
Find the area of each. Use pi = 3.14
Answer:
452.16 inches
Step-by-step explanation:
A = pi r^2
A = 3.14 * (12)^2
A = 3.14 * 144
A = 452.16 inches
A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard deviation of 0.010 L. The machine is then moved to another location. A sample of 10 bottles filled at the new location had a mean fill volume of 2.001 L and a standard deviation of 0.012 L. It is believed that moving the machine may have changed the mean fill volume, but it is unlikely to have changed the standard deviation. Assume that both samples come from approximately normal populations and have equal variance. The 99% confidence interval for the difference between the mean fill volumes at the two locations is approximately
Required:
Find a 99% confidence interval for the difference between the mean fill volumes at the two locations.
Answer:
The 99% confidence interval for the difference between the mean fill volumes at the two locations is;
-0.1175665 L < μ₁ - μ₂ < 0.1295665 L
Step-by-step explanation:
The number of bottles in the sample at the first location, n₁ = 18 bottles
The mean fill volume, [tex]\bar{x}_{1}[/tex] = 2.007 L
The standard deviation, σ₁ = 0.010 L
The number of bottles in the sample at the second location, n₂ = 10 bottles
The mean fill volume, [tex]\bar{x}_{2}[/tex] = 2.001 L
The standard deviation, σ₂ = 0.012 L
The nature of the variance of the two samples = Equal variance
The confidence interval of the statistics, C = 99%
The difference between the mean
[tex]\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]
(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9
∴ [tex]t_{\alpha /2}[/tex] = 3.25
Therefore, we have;
[tex]\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}[/tex]
Therefore, we have the difference of the two means given as follows;
-0.1175665 L < μ₁ - μ₂ < 0.1295665 L
How many 1/2 cup servings are in 2 3/4 cups of ice cream?
Answer:
1 1/2 Servings
Step-by-step explanation:
common sense
Answer:5.5
Step-by-step explanation:
1/2*5=2 and 1/2 and 1/2 divided by 2 is 1/4 and 5 1/2+1/4=5 3/4
How to do 264 in Expanded form
Answer:
200+60+4
Step-by-step explanation:
200+60+4=264
The length of a cut board in a sawmill should be within 2% of the board’s length. Write an absolute value inequality that describes the length L of an acceptable board with an official length of 12 feet. Solve the inequality and summarize the answer using a complete sentence.
Answer:
d
Step-by-step explanation:
The following exchange rate is given: £1=1.35 Dollars. Convert £9 into dollars
Answer:
$12.15
Step-by-step explanation:
Which of the following are accurate assessments of trends displayed in this graph?
I. Sales of teddy bears decreased by about 2.9% between September and October.
II. The change in sales of rabbits is roughly equal to the change in sales of all toys.
III. Roughly 24.1% fewer horses were sold in October than in September.
a. I and II
b. II only
c. I and III
d. III only
Answer:
✅ D. III onlygot it right on the test⬇️
The correct statement is
Roughly 24.1% fewer horses were sold in October than in September.
What is Data?Data refers to any information, regardless of how it is presented or represented. A data can be a numeric expression, a piece of text like a name or address, or it can be a number.
We have,
September October Trend
Teddy bears 346 308 -10.98%
Rabbits 297 260 -12.46%
Cats 199 285 +43.22%
Horses 245 186 -24.08%
Others 225 275 +22.22%
Total 1,312 1,314 +0.15
Now, Sales of teddy bears decreased by about 2.9% between September and October.
That reduced by around 11%, thus it is untrue.
II. The change in sales of rabbits is roughly equal to the change in sales of all toys.
It is untrue because variations in the sales of rabbits do not correspond to variations in the sales of all toys.
III. Roughly 24.1% fewer horses were sold in October than in September.
Yes, this is correct.
Learn more about Data here:
https://brainly.com/question/14570958
#SPJ7
y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6
Answer:
y=54+7
Step-by-step explanation:
A parking lot costs $1300 a month to operate, and it spends $260 each
month for every car that parks there. The parking lot charges a monthly fee of
$450 to park a car. If n is the number of cars, which equation represents the
profit function of the parking lot?
A. p= 710n+ 1300
B. p = 710n- 1300
c. p= 190n - 1300
D. p= 190n + 1300
SUBMIT
A
Answer:
[tex]p = 190n - 1300[/tex]
Step-by-step explanation:
Given
[tex]Monthly = 1300[/tex]
[tex]Expenses = 260[/tex] per car
[tex]Charges = 450[/tex] per car
Required
Determine the profit
Let the number of cars be n. So:
Express on n cars is: 260n
Charges on n cars is 450n
The profit (p) is then represented as:
[tex]p = Charges - Expenses - Monthly\ Expenses[/tex]
[tex]p = 450n - 260n - 1300[/tex]
[tex]p = 190n - 1300[/tex]
What is the least common multiple (LCM) that could be
used to find a common denominator for the fractions
and
o 2
8
0 12
Answer:
the greatest common factor will be 3
Round to the nearest ten- thousands place
438,105
Answer:
about 440,000
Step-by-step explanation:
Here 438,105 you can round of the 38,000as 40,000 so will get 440,000.
here
i need help with this
Answer:
i cant see the whole problem
Step-by-step explanation:
Find the value of x. Pythagorean theorem and its converse
4n + 8 = 20
Which value of n from the solution set 3, 8, 10, 12) will make the equation true?
B
8
© 10
Answer:
The answer is 3
Step-by-step explanation:
4 x 3 = 12
8 + 12 = 20
Can you solve it please and explain step by step how u got it ?????Please
Answer:
m<7 = 61
Step-by-step explanation:
These angles (<7, and <8) are adjacent to each other (they are next to each other), therefore they are supplementary (add up to 180).
180 - 119 = m<7
Find the perimeter of this semi-circle with diameter, d = 45cm. Give your answer rounded to 1 DP.
Answer:
P = 70.6 cm
Step-by-step explanation:
Given that,
The diameter of the semicircle, d = 45 cm
Radius, r = 22.5 cm
We need to find the perimeter of the semicircle. The formula for the perimeter of a semicircle is given by :
[tex]P=\pi r\\\\P=\pi \times 22.5\\\\P=70.6\ cm[/tex]
So, the required perimeter is 70.6 cm.
What is the answer plz
Answer:
A = 180m²
Step-by-step explanation:
To find the area of the bottom rectangle subtract the height of the top rectangle. Hope that makes sense if you want a another just ask.
The mean length of 9 childrens' big finger is 6.8cm.
The mean length of 3 adults' big finger is 11cm.
What is the mean length (rounded to 2 DP) of these 12 people's big finger?
Answer:
The mean length of these 12 people's big finger is of 7.85 cm.
Step-by-step explanation:
Mean value:
Sum of the values of all observations divided by the number of observations.
In this question:
9 + 3 = 12 total observations
Sum:
[tex]9*6.8 + 3*11 = 94.2[/tex]
So
[tex]M = \frac{94.2}{12} = 7.85[/tex]
The mean length of these 12 people's big finger is of 7.85 cm.
The type of speech used to encourage the audience to take action is
O Entertaining
O Informative
O Motivational
O Persuasive
Answer:
Motivational
Step-by-step explanation:
20 points!!!!! The table represents a linear function
Type your answer in the box.
r = 3 d = 5
Answer: 8.5
Step-by-step explanation:
I just took the quiz last week.
In the diagram shown , CD =7,DB=8, AE=5,m
Answer:
.
Step-by-step explanation:
Answer:
I don't understand the question
Step-by-step explanation:
can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c