The height of the toy is an illustration of the height function
The function of the toy velocityThe given parameters are:
Initial velocity, Vo = 200 ft per secInitial height, H = 50 ftThe function of the height is calculated as:
h(t) = -16t² + Vot + H
This gives
h(t) = -16t² + 200t + 50
Hence, the velocity function is h(t) = -16t² + 200t + 50
The time of maximum heightIn (a), we have:
h(t) = -16t² + 200t + 50
Differentiate
h'(t) = -32t + 200
Set to 0
-32t + 200 = 0
Subtract 200 from both sides
-32t = -200
Divide both sides by -32
t = 6.25
Substitute 6.25 for t in h(t)
h(6.25) = -16 *6.25² + 200 * 6.25 + 50
h(6.25) = 675
Hence, the time to reach the maximum height is 6.25 seconds and the maximum height is 675 feet
When the rocket will be at a height more than 300This is represented as
h(t) >300
So, we have:
-16t² + 200t + 50 > 300
Subtract 300 from both sides
-16t² + 200t - 250 > 0
Using a graphical calculator, we have:
t = 11.09s and t = 1.41 s
Hence, the rocket will be at a height more than 300 at 11.09s and 1.41 s
When it will hit the ground?This means that
h(t) = 0
So, we have:
-16t² + 200t + 50 = 0
Using a graphical calculator, we have:
t = 12.75
Hence, the rocket will hit the ground at 12.75s
Read more about height function at:
https://brainly.com/question/12446886
A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?
Step-by-step explanation:
Given :-
The length of rectangular garden is 15 feet longer than its widthThe area of rectangular garden is 700ft²To find:-
Dimensions of rectangular gardenSolution:-
According to the question , let the length of rectangular garden be x and width be x + 15
We know , the formula for area of rectangular garden is L × B
putting the known values ,
700ft.² = X × (X + 15)
700 ft. ² = x² + 15x
x² + 15 x - 700 = 0
By factorising it we get , x = 20
So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.
Jacob can swim the 400-meter distance in 6.4 minutes now.How many more meters per minutes will Jacob need to swim to reach is goal?Explain how you found your answer.
Answer:
62.5 meters per minutes
Step-by-step explanation:
) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:
n=20, x¯¯¯=63.8, s=2.84
≤μ≤
Answer:
ask MisterBrainly for help
show work. A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 59 ft. How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn?
Step-by-step explanation:
oh that is again something you can nicely envision :
the inner circle has a radius of 59 ft.
so, because of the 2 ft wide track the outer circle has a radius of 59+2 = 61 ft.
the circumference of a circle is
2×pi×r
the answer to the question is simply the difference bergen the 2 circumference values.
inner circle :
2×pi×59 = 118pi
outer circle :
2×pi×61 = 122pi
the difference is
122pi - 118pi = 4pi = 12.56637061... ft ≈ 12.6 ft
the wheel on the outer track travels about 12.6 ft farther than a wheel on the inner track in one full turn.
Mandy paints four square walls that are ten feet on each side. Which expression represents the total square footage that Mandy painted?
4 × 102
42 × 10
4 × 10 × 2
102 + 4
Answer:
C. 4 × 10 × 2
Step-by-step explanation:
There are four walls that are ten feet on each side.
You would take 4 (number of walls) × 10 (number of feet in length), and because there are 2 sides of the walls, you would take that × 2.
Therefore, your answer is 4 × 10 ×2
Enter a recursive rule for the geometric sequence.
3, - 12, 48, - 192, ..
Start at 3 and multiply by -4 each time.
Landry is going to wrap a birthday present for his mom. He needs to know how much wrapping paper he needs to wrap the present with no overlap.
volume
or
surface area
Answer:
surface area
Step-by-step explanation:
Wrapping paper covers the surface of an object.
To know how much paper he needs, Landry will need to determine the surface area of the present.
The circumference of circles
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex]\qquad \tt \dashrightarrow \: \pi{d}^{}[/tex]
where, d = diameter
Now, let's calculate it ~
[tex]\qquad \tt \dashrightarrow \: c = 4×\pi{}^{}[/tex]
[tex]\qquad \tt \dashrightarrow \: c = 4\pi\: \: in[/tex]
That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14
[tex]\qquad \tt \dashrightarrow \: c = 4 \times 3.14{}^{} \\\qquad \tt \dashrightarrow \: c = 12.56\: \: in\\\qquad\tt \dashrightarrow \: c \approx 12.6\: \: in[/tex]
what is the distance of 53 yards square
Answer:
477 square foot
Step-by-step explanation:
cause yea
If x²+ y²= 80 and xy = 12, find the value of (x - y)².
[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]
PLEASE HELP ME FIND THE SURFACE AREA OF THIS PRISM
Answer: i don't know
Step-by-step explanation: i don't know sorry
What is the answer to this? Due in 3 minutes!
Given m n, find the value of x.
(7X-10)9
(6x-5)°
Answer:
x = 15
Step-by-step explanation:
Since m and n are parallel to the line t.
Then (7x - 10) + (6x - 5) = 180° supplementary angles for a linear pair.
(7x - 10) + (6x - 5) = 180°
13x -15 = 180°
13x = 195°
x = 15
Plug x into the angles to solve for angle.
(7x - 10)
(7*15 - 10) = 105 - 10 = 95°
(6x - 5) =
(6*15 - 5) = 90 - 5 = 85°
Find the surface area of the pyramid.
Answer:
i think the answer is 87.
Step-by-step explanation:
i think its 87.
GIVING BRAINLIEST!
2pi8^2 + 2pi8*8=?
the answer should be 150, show the steps
Answer:
256π
Step-by-step explanation:
2π(8²) + 2π(8)(8) <== exponents first
2π(64) + 2π(64) <== multiply
128π + 128π <== add
256π <== final answer
Note: 8 * 8 can also be written as 8²
Hope this helps!
Answer:
256π
Step-by-step explanation:
4π(8²) = 4π(64)= 804.2477193
804.2477193/π = 256π
Evaluate lim x²-1 x/x^2+3x-4
Nandyan na po
Step-by-step explanation:
I hope I helpA rectangle has a length of 10 cm and a width of 7 cm. What is its perimeter?
44 cm
70 cm
34 cm
17 cm
Answer:
34 cm
Step-by-step explanation:
Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.
Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.
⇒ Perimeter of rectangle = L + S + L + S
⇒ Perimeter of rectangle = 2(L) + 2(S)
⇒ Perimeter of rectangle = 2(L + S)
Now, let's substitute the length and the width in the perimeter and simplify.
⇒ Perimeter of rectangle = 2(10 + 7) [L = 10; S = 7]
⇒ Perimeter of rectangle = 2(17)
⇒ Perimeter of rectangle = 34 cm
Answer: 70 cm
Step-by-step explanation: 10 x 7 = 70
hope this helps
Is 5/2 to the right of number 1 on number line?
Answer:
Yes;
Step-by-step explanation:
5/2 = 2 1/2
2 1/2 > 1
Yes, 5/2 is to the right of 1 on a number line.
Write 0.00205 in scientific notation.
Answer:
Therefore, 0.00205 in scientific notation is 2.05 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 2.05e-3.
Step-by-step explanation:
Answer:
[tex]2.05 \times 10 ^{ - 3} [/tex]
The clients who get haircuts at Cameron's salon have a variety of hair colors.
brown 7
black 7
blond 4
4
What is the experimental probability that the next client to get a haircut Cameron's salon will
have blond hair?
Write your answer as a fraction or whole number.
P(blond)
Using it's concept, it is found that there is a [tex]\frac{2}{9}[/tex] experimental probability that the next client to get a haircut Cameron's salon will have blond hair.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 4 out of 18 clients had blond hair, hence the probability is given by:
P(blond) = 4/18 = 2/9
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Question - I need more ----- inside of my life
Answer:
Hi, this is not really a question it is a statement but if you really need help with math then you can provide an actual question.
Step-by-step explanation:
Answer:
Then you must improve to get more things in your life
Enter the output values (Y) with the given function and input values (X).
Answer:
y = 3x - 2
X Y
6 16 3(6)-2 -> 18-2 = 16
5 13 3(5)-2 -> 15-2= 13
4 10 3(4)-2 -> 12-2= 10
7 19 3(7)-2 -> 21-2= 19
Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.
Are physical activities becoming safer or more dangerous
The mean amount of money Sadie saves each month is $10,724.29.
What is the mean amount of money saved each month?
Mean is a measure of central tendency that is used to determine the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(10150 + 102211 + 10424 + 10769 + 11155 + 11477) / 7 = $10,724.29.
To learn more about mean, please check: https://brainly.com/question/25842202
Help picture below problem 9
Answer:
sometimes...
Step-by-step explanation:
mark me brainliest
A parallelogram is sometimes a rectangle.
A) sometimes
Explanation:because the vertices join the adjacent sides at 90° angles and it has two sets of parallel sides and two pairs of opposite sides that are congruent. (a rectangle has all of the properties of a parallelogram.)
Which of these inequalities means that
18 is greater than three times a number?
Let's write this verbal phrase as an inequality.
First of all, let the number be n.
"three times n" can be written like so:-
[tex]\pmb{3n}[/tex]
Now, 18 is greater than 3n:-
[tex]\pmb{18 > 3n}[/tex]
Which means 3n is less than 18:-
[tex]\bigstar{\boxed{\pmb{3n < 18}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Write the following in words in international system with comas:
34407615
Answer:
34,407,615
Explanation : 34 millions 407 thousands 615
integrate the following by parts |x^2 e^2x dx
Answer:
The answer is shown in the picture. you basically have to do integration by parts 2 times to get final answer.
I NEED HELP ASAP!!!!!!!!!!!
Answer: Below
Step-by-step explanation:
Let's start with 12. Going off of basic quadrilateral rules, adjacent angles will be equal to 180. So we make the equation:
8x - 12 + 3x + 5 = 180
Simply.
11x - 7 = 180
11x = 187
x = 17
Since R = P, R = 3(17) + 5 = 56
Now with 14.
We know ABC is both 115 and 4x+6, so:
115 = 4x + 6
109 = 4x
x = 27.25
ADB is 6x - 11, so 6(27.5) - 11 = 152.5
12) 56
14) 152.5
a
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
Answer using the 68 - 95 - 99.7 rule.
[ ? ]%
Answer:
2 Answers By Expert Tutors
Since 400 is the mean and the standard deviation is 50, $400-$450 is +1 standard deviation. One standard deviation is 34.1% probability that the worker's wages would fall in this range.
What did is the total volume,in cubic feet of the shape below
Answer:
64ft^3 (The ^3 is meant to be cubed) 64 feet cubed.
Step-by-step explanation:
The picture has already split the two shapes.
*Remember Volume Formula: LWH or Length times Width times Height.*
The first shape is 4ft x 2ft x 2ft
The second shape is a little bit of a fuss but it's alright.
*Talking about the length of Shape no.2*
Since the second shape is longer than the first one (by length). You need to double it meaning: 4x2 or 4+4 = 8ft
The second shape is 8ft x 2ft x 3ft
First shape should have a volume of 16ft
Second shape should have a volume of 48ft
Now, you need to add the two volumes:
48ft + 16ft = 64ft cubed
