Answer:
Step-by-step explanation:
9.0
The height (h) reached by model rocket will be equal to 126 ft.
It is given that the height reached by a model rocket can be calculated using the equation h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n
We have to calculate the height (h) at 3 seconds.
What is algebra ?
Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n ---------- Equation 1
∵ t = time rocket is in flight = 3 seconds
v = velocity at which rocket travels = 85 ft. per second
n = height of rocket at beginning = 15 ft
Putting these values in equation 1 , we get.
h = - 16 × ( 3² ) + (85) × (3) + 15
h = - 16 × 9 + 255 + 15
h = -144 + 270
h = 126 ft.
Thus , the height (h) reached by model rocket will be equal to 126 ft.
To learn more about algebra click here ;
https://brainly.com/question/19253676
#SPJ2
There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).
Answer:
The maximum area is therefore is 93750 ft²
Step-by-step explanation:
The given parameter are;
The a]length of fencing available = 1500 ft.
The perimeter of the figure = 9·x + 4·y
Therefore, 9·x + 4·y = 1500 ft.
The area of the figure = 6 × (x × y) = 3·x × 2·y
From the equation for the perimeter, we have;
9·x + 4·y = 1500
y = 1500/4 - 9/4·x = 375 - 9/4·x
y = 375 - 9/4·x
Substituting the value of y in the equation for the area gives;
Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²
Area = 2250·x - 27/2·x²
The maximum area is found by taking the derivative and equating to zero as follows;
d(2250·x - 27/2·x²)/dx = 0
2250 - 27·x = 0
x = 2250/27 = 250/3
x = 250/3
y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5
The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²
The maximum area is therefore = 93750 ft.²
What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , thus
y = x + c ← is the partial equation
To find c substitute (1, 0) into the partial equation
0 = 1 + c ⇒ c = 0 - 1 = - 1
y = x - 1 ← equation of line
5 AB is the diameter of a circle whose center is the point (4,-3). If the coordinates of A are (-1,5), Find AB>
Given:
AB is the diameter of a circle whose center is the point (4,-3).
Coordinates of A are (-1,5).
To find:
The measure of AB.
Solution:
Let point O(4,-3) be the center of the circle.
Then, OA is the radius of the circle.
We know that, diameter of a circle is twice of its radius.
So, [tex]AB=2(OA)[/tex] ...(i)
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between O and A is
[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]
[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]
[tex]OA=\sqrt{25+(8)^2}[/tex]
[tex]OA=\sqrt{25+64}[/tex]
[tex]OA=\sqrt{89}[/tex]
Now, using (i), we get
[tex]AB=2(OA)[/tex]
[tex]AB=2(\sqrt{89})[/tex]
[tex]AB=2\sqrt{89}[/tex]
Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.
I NEED THIS IN 10 MINUTES !!
I HAVE A TEST AND WON OF THE QUESTIONS ARE SUPER DIFFICULT , the sum of 12 millions and 17 millions !!
Answer:
29,000,000
Step-by-step explanation:
Answer:
29,000,000,000
Step-by-step explanation:
Want Brainliest? Answer quickly!
Answer:
76
Step-by-step explanation:
2.5(a + 4) + 0.5a = 12.4
Answer:
a=0.8
Step-by-step explanation:
First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.
Hope this helps you :)
Write an equation of the line shown. Then use the equation to find the value of x when y=150
Answer:
Step-by-step explanation:
x = 12
Step-by-step explanation:
The slope-intercept form formula, , can be used to write an equation for the line.
Where,
m = slope =
b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.
Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).
Let,
y-intercept of the line, b = 30
Equation for the line would be:
Using the equation, find x when y = 150.
Simply substitute the value for y in the equation to find x.
Subtract 30 from both sides
Divide both sides by 10
x = 12
The reflection of point S across the y-axis is point
. The reflection of point Q across the x-axis and the y-axis is point
, whose coordinates are (
,
).
Fihding the Selling Price for a Given Profit
Soccer ball profit
y = -6x2 + 100x – 180
Suppose the store wants to earn a daily profit of
$150 from the sale of soccer balls. To earn this
profit, what price should the store charge for each
soccer ball? Explain how to solve this problem.
DONE
) Intro
6 of 8
Answer:
2.05 and 14.61
Step-by-step explanation:
On Edg
A circular garden has a diameter of 8 feet, and a rectangular garden has side lengths of 5 feet by 9 feet.
find the difference in square feet between the two gardens
Answer:
rectangular
Step-by-step explanation:
Answer:
The square of a number decreased by 8 times the number equals 9. Determine the two possible values of the number. X2-8x=9. +1-9 ... 9. Basic Area of Rectangles. 16 The length of a rectangular room is 5 less than ... 17 The total area of Jon's backyard is 144 square feet. ... the length of a side of the original square garden.
Step-by-step explanation:
i hope this helps!
Write the following number in standard form: 3.471 x 10 to the power of negative 3
Answer:
=-3471 is the answer this may help you.
Step-by-step explanation:
=3.471×10^-3
=3.471×-1000
=-3471
You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7
This is the problem that I need help with please. :)
Answer:
umm I think it 186
Step-by-step explanation:
Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction. Incorrect feedback has been removed from the screen. Fill in the blank text field 1
Answer:
1/3
Step-by-step explanation:
20/60 simplified is 1/3
20 for the red light
60 all of them added
A hamburger costs $(2x + 3), chips costs $(x - 1) and a drink costs $(3x - 5). Write an
algebraic expression for the total cost of a hamburger, chips and a drink.
Answer:
(2x+3)+(x-1)+(3x-5)
Step-by-step explanation:
add all your expressions & Ect together .
Let p(n) be the number of primes less than n. What is p(50)
Answer:
There are 15 prime numbers less than 50
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Explain WHY a rotation of 180° is the same as doing
reflection over the x-axis AND the y-axis?
I NEED HELP THIS IS MISSING I GIVE BRAINLIEST only if you are right tho
Answer:
I thinks its negative
Step-by-step explanation:
because since there is more neagitive that positive it will be neagitive
Q1)Complete the table of values of y=6/x
Q2)Which of A,B or C is the correct curve for y=6/x
I will give brainliest!!! Help pleaze
Answer:
Q1) 12, 2, 1.5, 1
Q2) I believe its C
Step-by-step explanation:
Hope it helps!
Answer:
1st question 12, 2, 1.5, 1
2nd question C
Step-by-step explanation:
Hope I helped
Solve one third plus seven ninths equals
Answer:
1 1/9 0r 10/9
Step-by-step explanation:
the least common denominator or LCM of the two denominators:
LCM of 3 and 9 is 9
For the 1st fraction, since 3 × 3 = 9,
1
3
=
1 × 3=3
3 × 3=9
= 3/9
Likewise, for the 2nd fraction, since 9 × 1 = 9,
7
9
=
7 × 1=7
9 × 1=9
=7/9
Add the two fractions:
3
9
+
7
9
=
3/9+ 7/9=10/9
So, 1/3 + 7/9 = 10/9
In mixed form: 1 1/9
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
A.subtract 1, add x, divide by 4
B.add x, subtract 4, divide by 4
C.add x, subtract 1, divide by 4
D.subtract 3x, subtract 4, divide by -4
E.subtract 3x, subtract 4, divide by 4
(More than one answer)
Answer:
A, C & D
Step-by-step explanation:
A) 1 + 3x = -x + 4 {subtract 1}
1 + 3x -1 = -x + 4 - 1
3x = -x + 3 {add x}
3x + x = -x + 3 + x
4x = 3 {Divide by 4}
4x/x = 3/4
x = 3/4
C) 1 + 3x = -x +4 {Add x}
1+ 3x + x = - x +4 + x
1 + 4x = 4 {subtract 1}
4x = 4 - 1
4x = 3 {Divide by 4}
D) 1 + 3x = -x + 4 { Subtract 3x}
1 = -x + 4 -3x
1 = -4x + 4 Subtract 4}
1 - 4 = -4x
-3 = -4x {Divide by -4}
-3/-4 = x
x = 3/4
x = 3/4
y+1=1/2(x-8) in standard form- pls explain
1. The sum of two consecutive integers is 27. What are the two integers?|
Answer:
13 and 14
Step-by-step explanation:
please help me on this i am struggling
Answer:
1. 128=x
2.37=x
3. 55=x
4. 15=x
5. 76=x
Step-by-step explanation:
Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!
Answer:
y=8
Step-by-step explanation:
(-2,8) (3,8)
x,y. x,y
y2-y1/X2-X1=
8-(8)= 0
3-(-2)= 5
since the two points have 8 in the Y space the line would be equal to y= 8
If two lines are perpendicular to each other, do they lie in the same plane?
Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)
Answer:
Your answer is going to be - 722
Step-by-step explanation:
(3-41)=-38
(-3+22)=19
-38*19=-722
Answer: (3 – 41) x (-3+22)= -722
When you go to do the multiplication or any math like this
parentheses,
exponents,
multiplication &division,
addition & subtraction,
Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,
So If you do the math in P-E-M-D-A-S (3−41)(−3+22)
=−38(−3+22)
=(−38)(19)
=−722
-722 is your answer
The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call
You are given $40 to buy some groceries. As you put
items into the cart, how will you decide how many you
can buy?
Answer:
Use a calculator to add the cost of each item but don’t forget that there is tax!!
Step-by-step explanation:
Answer:
Use a calculator to add the cost of each item but don’t forget that there is tax!!
and usually is 15% of what is the total cost of each item without tax.
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brianliest !!!!!!!!!!!!!!!!!!
Answer: x= 15
Steps shown in image below
Answer:
x=15
Step-by-step explanation:
they are supplementary so they add up to 180.
7x-9+5x+9=180
simplify
12x=180
divide by 12
x=15