Answers
Answer:
A) 14.3606 ft
B) 2.8112 seconds
Step-by-step explanation:
A) At maximum height which is its peak, the velocity will be zero.
Now, we are given height modeled by;
h(t) = 4.98t² - 14t + 20
v(t) = dh/dt = 9.96t - 14.
At max height which is v(t) = 0, we have;
9.96t - 14 = 0
9.96t = 14
t = 14/9.96
t = 1.4056 s
Thus, height at this time is;
h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20
h(1.4056) = 14.3606 ft
B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.
Related Questions
PART A
3 less than half a number is 10
Write an expression to represent this situation.
Answers
Answer:
n/2 - 3 = 10 represents this situation
Step-by-step explanation:
Let the number be n. Then:
n/2 - 3 = 10 represents this situation.
Answer:1/2x-3=10
Step-by-step explanation:
is -5 greater than -8
Answers
Answer:
yes
Step-by-step explanation:
negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)
Answer:
Yes
Step-by-step explanation:
-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.
write a function to match the function machine
Multiply the input by -3, then
subtract 2
Answers
Answer:
The required function is:
f(x) = 3x - 2Please check the attached graph.
Step-by-step explanation:
We need to write a function to match the function machine multiply the input by -3, then subtract 2.
Let 'x' be the input.
Multiply the input by 3 is: 3xSubtract 2: 3x - 2Therefore, multiply the input by -3, then subtracting 2 would give us the result:
f(x) = 3x - 2
Therefore, the required function is:
f(x) = 3x - 2Please check the attached graph.
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant
Answers
Answer:
Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below
answer :
y-intercept = 25.9047
slope = 2.8420
Step-by-step explanation:
Determine the slope for the regression equation and y intercept
The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )
y = 25.9047 + 2.8420x
from the equation gotten above
y-intercept = 25.9047
slope = 2.8420
A magazine publisher is informed that 72% of subscribers last year did not renew their subscriptions. This publisher wants to randomly survey 8% of these past subscribers asking the reason why they did not renew their subscriptions. All of last year's subscribers who did not renew their subscriptions are known collectively as what
Answers
Answer:
Sampling frame
Explanation:
A sampling frame is the source where the researcher draws his samples from. In other words, a sampling frame is like the population where the researcher gets samples for his investigation. In the above example, we are told the researcher wants to know why the 72% that subscribed last year didn't subscribe this year. He draws a sample of 8% from the 72% that he is trying to study, therefore the 72% are the sampling frame from where he gets his sample.
21+15a distributive property equavilent expression
Answers
What are the coordinates of the point on the directed line segment from (-7, 10) to
(-2,-5) that partitions the segment into a ratio of 2 to 3?
Answers
a ratio of 2 to 3 means that the line segment is divided into 5 equal pieces
let (x,y) be 2/5 of the way from (-10,-3) to (1,7)
what is the distance of the segment ?
use the distance formula to find the distance of the segment
√(11^2+10^2)=√221
-10 to 1 is 11 units, 2/5(11)=4.4
-3 to 7 is 10 units, 2/5(10)=4
-10+4.4=-5.6
-3+4=1
the point is (-5.6,1)
check:
find the distance from (-10,-3) to (-5.6,1)
find the distance from (-5.6,1) to (1,7)
these distances should add up to √221
first distance:√[(4.4^2)+4^2]=√35.36
second distance:√[(6.6^2)+6^2]=√79.56
√35.56+√79.56=√221
5.946+8.919=14.866
14.865≈14.866
>:)))))))))
i use u guys to get though exam
Answers
Answer:
B) 3/8
Step-by-step explanation:
Proportion/ Ratio:
3 pounds to 8 flower beds
3 : 8
3 / 8
Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto
Answers
Answer: x boletos de adulto
2x boletos de estudiante
x+2x=288
3x=288
x=288/3
x=96
adulto =96
estudiante 2*96=192
96+192=288
Step-by-step explanation: 96 y 192
What number makes the equation true? Enter the answer in the box
Answers
Answer:
6
Explanation:
8 x 6 = 48
48 ÷ 6 = 8
Please help me on this question 30 points on the line
Answers
Answer:
4(x-3) = 8
Step-by-step explanation:
4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.
Answer:
4(x-3) = 8
Step-by-step explanation:
Solve the inequality
Answers
Answer: Hi there, the answer should be the third option v < -8.
C. V < - 8, or v > 0
Hope this helps! ^^
Can someone please help me on this???I keep messing it up.
Answers
Answer:
The answer is B
Step-by-step explanation
As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.
Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
Answers
Answer:
6:4:9 Yw❤️
Step-by-step explanation:
Help help help help help
Answers
I gotta take a big śhit
Factorise fullyc^3+ c^2
Answers
Answer:
c^2( c+1)
Step-by-step explanation:
c^3+ c^2
The greatest common factor is c^2
c^2( c+1)
(03.01) Which of the following is a factor of x2 − 6x − 27? (1 point) Select one: a. x + 3 b. x + 9 c. x − 1 d. None of the above
Answers
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[tex]\pink{\bigstar}[/tex] The factor of given expression is [tex]\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-✯ x² - 6x - 27
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Splitting the middle term:-
➪ x² - 9x + 3x - 27
➪ x(x - 9) + 3(x - 9)
★ (x -9) (x +3)
Therefore, the factors of the given expression are (x - 9) and (x +3).
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Hence, Option A. i.e (x + 3) is the correct choice.
Answer:
[tex] {x}^{2} - 6x - 27 \\ factorise \\ {x}^{2} - 9x + 3x - 27 \\ = take \: x \: from \: first \: two \: terms \\ and \: 3from \: last \: two \: terms \\ then \\ x(x - 9) + 3(x - 9) \\ here(x - 9)is \: commen \\ so(x - 9)(x + 3) \\ (1)is \: ur \: answer \: it \: is \: x + 3 \\ thank \: you[/tex]
The area of a sign in the shape of a square is 219 square inches. Which measurement is closest to the side length of
this sign in inches?
55 in.
B
15 in.
7 in.
D 110 in.
Answers
Answer:
A
Step-by-step explanation:
The area of a square is given as the side² thus the side length of the given square will be around 15 inches thus option (B) will be correct.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Length of diagonal of square = √(2) × side
It is known that,
Area of square = Side²
Given, the area is 219 square inches.
Side² = 219
Side = √219 = 14.79 ≈ 15 in.
Hence "The area of a square is given as the side² thus the side length of the given square will be around 15 inches".
For more about a square,
https://brainly.com/question/2189895
#SPJ2
Xavier opened a savings account with a deposit of $12,000.
The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?
0.9%
1.8%
2.7%
3.6%
Answers
Answer:
the answer is 236.25
Step-by-step explanation:
The interest rate on annual basis on the given account should be considered as 0.9%.
Calculation of the annual interest rate:
Here the interest amount be
= Future value - principal
= $12,324 - $12,000
= $324
Now the interest rate be like
Interest = Principal * rate * time period
$324 = $12,000 * rate * 3/ 100
So, the rate be 0.9%.
Hence, The interest rate on annual basis on the given account should be considered as 0.9%.
Learn more about interest rate here: https://brainly.com/question/14191952
A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55
Answers
Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
order these number (smallest to largest)
35.6 0.356 35.63 3.65 356.06 356.6
Answers
Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6
Step-by-step explanation:
4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:
Answers
On a scale drawing, a school is 1.6 feet tall. the scale factor is 1/22. Find the height of the school
Answers
Answer:
35.2 ft
Step-by-step explanation:
Multiply the scale factor and the height.
You need to multiplying the scale factor and the height
Which of the solutions are extraneous?
Answers
please help meeeeeeeeeeesssssssssssss
Answers
Answer:
384 cm^3
Step-by-step explanation:
(16 times 4) times 6 = 384 :D
In the equation y = 2x + 5, what values represent the m (slope) and the b (y-intercept)?
Answers
Answer:
m(slope)=2
b(y-intercept)=5
Step-by-step explanation:
Answer:
2x represents the slope and 5 represents the y intercept.
Tania Ramirez purchases 25 hanging file folders for $6.99. What is the price
per folder?
Answers
Brianna used two congruent parallelograms and a square to create the
figure shown.
Answers
Answer: the awnser is 33 3/4
Step-by-step explanation: im literally doing the same test
The area of a parallelogram can be found by finding the product of its height and base. The area of the resulting figure is 105/4 sq. ft.
What is a Parallelogram?A parallelogram can be defined as a quadrilateral which has equal and parallel opposite sides. The sum of the adjacent angles of a parallelogram is equal to 180° and its opposite angles are equal.
Each side of the square is given 4 1/2 ft,
And the height of each parallelogram 1 1/2 ft.
Now, the area of square is (side)^2 and the area of parallelogram is height × base.
Thus, area of given figure is given as,
Area = (4 1/2)^2 + 2×(4 1/2)×( 1 1/2)
= 105/4 sq. ft.
Hence, the area of the given figure is 105/4 sq. ft.
To know more about parallelogram refer to,
https://brainly.com/question/19187448
#SPJ2
9x^2+25 Can someone doble this
Answers
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3x and b=5.
(3x+5)(3x−5)
Step-by-step explanation:
Find the equation of the line parallel to the line g(x) = -0.01x + 2.01 through the point (1, 2).
Answers
Answer:
Baka renejay to HAHAHHA
