4 times 4 so your awnser is 12
Hope that helps :)
Answer:
16
Step-by-step explanation:
4+4+4+4
Mikala initially launches a toy rocket from a height of 3 feet above the ground. After 2 seconds, the rocket reaches its highest point of 11 ft and then returns to
the ground
.
• Create a model that can be used to determine the height of the toy rocket at a given time. Define your variables and show your work or explain how your
equation models the situation.
• Use the model to determine at what time the toy rocket will land on the ground. Show your work or explain your answer.
Enter your answers and explanations in the box.
[tex]y = -2x^2 + 8x + 3[/tex]
Using the model above, it is found that it lands on the ground after 4.35 seconds.The equation of a quadratic function of vertex (h,k) is given by:
[tex]y = a(x - h)^2 + k[/tex]
The vertex is the maximum point, which is (2,11), hence [tex]h = 2, k = 11[/tex]. Then:
[tex]y = a(x - 2)^2 + 11[/tex]
The initial height is of 3 feet, then when [tex]x = 0, y = 3[/tex], and this is used to find a.
[tex]y = a(x - 2)^2 + 11[/tex]
[tex]3 = 4a + 11[/tex]
[tex]4a = -8[/tex]
[tex]a = -\frac{8}{4}[/tex]
[tex]a = -2[/tex]
Then:
[tex]y = -2(x - 2)^2 + 11[/tex]
In standard format, the model is:
[tex]y = -2x^2 + 8x - 8 + 11[/tex]
[tex]y = -2x^2 + 8x + 3[/tex]
It hits the ground when [tex]y = 0[/tex], so:
[tex]-2x^2 + 8x + 3 = 0[/tex]
[tex]2x^2 - 8x - 3 = 0[/tex]
Which has coefficients [tex]a = 2, b = -8, c = -3[/tex]. So
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(-3) = 88[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + sqrt{88}}{4} = 4.35[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - sqrt{88}}{4} = -0.35[/tex]
Time is positive, so it lands on the ground after 4.35 seconds.
A similar problem is given at https://brainly.com/question/17987697
If 5x+ 3 = 10x– 17, what is the value of x?
A. 1
B. 2
C. 3
D. 4
E. 5
Answer:
D
Step-by-step explanation:
First, we will move the variable to the left-hand side and change its sign: 5x + 3 - 10x = -17
Next, we need to collect like terms: -5x = -20
Finally, we will divide both sides of the equation by -5 to give us the answer of x = 4.
Marci and Levi add 113.5 + 22.41
If the whole numbers are added, the sum would be
Answer:
113 + 22 = 135
113.5 + 22.41 = 135.91
The answer would be 135.91
Step-by-step explanation:
The PTA makes a $5.00 profit on each school sweatshirt they sell. If they made a
profit of $2,170.00, how many sweatshirts did they sell?
Answer:
434 sweatshirts were sold
Step-by-step explanation:
$2,170/$5 = 434
127% of 1958?
there's nothing else for the question so I'm just typing out this lol
I need help pleaseeeee
No links
Answer:
320
Step-by-step explanation:
2 times 64 plus 4 times 48 equals 320
Renee bakes cake pops. Each of her cake pops weigh 334
3
3
4
ounces. She needs to ship a dozen cake pops and will need to tell the shipping company the weight of the pops. What weight should she tell the shipping company for a dozen cake pops?
Answer:
Fraction 3 out of 3 /4
Step-by-step explanation:
Given the linear equation r=-2.5 t and t can only be a negative number, what quandrant will the r coordinate be located?
Answer:
quadrant 4 i think
Step-by-step explanation:
Answer:
Actually the correct answer is 2
Step-by-step explanation:
Evaluate 5x2 + 2(4x - 7) – 8x for x = 3. Show your work.
Answer:
31
Step-by-step explanation:
5x^2 + 2(4x - 7) - 8x =
5 * 3^2 + 2(4*3 -7) - 8*3 =
5 * 9 + 2(12-7) - 24 =
45 + 2 * 5 - 24 =
45 + 10 - 24 =
55 - 24 =
31
What is the image of the point (-9,-1) after a rotation of 270 counterclockwise about the origin?
Answer:
uhh I'm pretty sure it's (9,1) went from quadrant 3 to 2 which is all positives
Can someone help me plz!!
Answer:
RMT or TMR
Step-by-step explanation:
The angle between the sides is just the angle at which they meet. Since MR and TM meet at M, the resulting angle must include M as well as the ends of the angle, T and R.
a few questions here sryy
An airplane travels at a speed of 582 miles per hour to reach its destination in 4 hours. Determine the duration of the flight, if the airplane travels at a speed of 388 miles per hour.
(for the graph image)
write an equation for the given graph
T = d/14000
d = T/14000
14000 = T/d
T = 14000/d
T = 14000d
It takes 6 hours to reach the destination when traveling at 388 mph.
Speed is the ratio of total distance traveled to the total time taken It is given by:
Speed = distance/time
Given that it takes 4 hours to reach a destination when travelling at 582mph, hence the distance is:
582 = distance / 4
distance = 2328 miles
If travelling at 388 mph, the time is:
388 = 2328 / time
time = 6 hours
Hence it takes 6 hours to reach the destination when traveling at 388 mph.
Find out more at: https://brainly.com/question/22610586
THIS ABOUT TO BE OVERDUE PLS HELP ME
May I ask what’s this answer?
I wasn’t in class today:(
Answer:
Top box: 15
Bottom box: 480
Answer:
[tex]\left[\begin{array}{ccc}5&15&20\\120&360&480\end{array}\right][/tex]
Explanation:
For every 5 gallons, there's 120 miles. If we know we have 360 miles, we can see how many times 120 goes into 360, which is 3.
5 * 3 = 15.
Then just reverse the process
Which number has the greater value, 7*10^-9 or 6*10^-4
Answer:
6*10^-4 has a greater value.
Step-by-step explanation:
7*10^-9= 0.000000007
6*10^-4= 0.0006
How to solve this problem?
Answer:
x° = 35°
Step-by-step explanation:
at 125° to get the opposite angle
180° - 125° = 55°
then,
x° + 90° + 55° = 180°
x° = 180° - 145°
x° = 35°
Factor completely: 8x^2-4x-4
Answer:
4(2x+1)(x−1)
Step-by-step explanation:
8x2−4x−4
8x2−4x−4
=4(2x+1)(x−1)
please help with number 3 & 4 PLEASE !! will mark BRAINLIEST
Answer:
3 is -15/2 and 4 is -3/2
Step-by-step explanation:
If im not mistaken these are the awansers
Match the pairs of equivalent expressions.
i would say y + 2/5y is the equivalent expression of 7/5y and y - 2/5y is the quivalent expression of 3/5y but im not sure
What is the missing angle
55°
Step-by-step explanation:
110+15+x =180
x = 180 - 125
x = 55°
Answer:
Step-by-step explanation:
im kinda LayZai to do dis, help pleaseeeeeeeee
Answer: 2 hours 25 minutes
Step-by-step explanation:
Answer:
2 hours 25 minutes.
Step-by-step explanation:
12:15pm-9:50am=2:25.
Pretty much it, hope this helps!
Which of the following is a polynomial?
A.
(x - 2)
(x4 +3)
B. X2 - 1
C. A + x 4 + 16
D. 1/x +2
Answer:
A, B, C
Step-by-step explanation:
Assuming the choices are:
A. [tex](x-2)(x^{4}+3)[/tex]
B. [tex]x^{2} -1[/tex]
C. A+[tex]x^{4} +16[/tex]
D. [tex]\frac{1}{x} +2[/tex]
Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.
Choice A already has a variable raised to a power greater than 1 ([tex]x^{4}[/tex]), so no additional manipulation is needed.
Choice B also has a term that is already raised to a power greater than 1 ([tex]x^{2}[/tex]). It is the same for choice C ([tex]x^{4}[/tex]).
Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes [tex]x^{-1} +2[/tex]. Since -1 is less than 1, choice D is not a polynomial.
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto \dfrac{1}{x}+2[/tex]
Simplify
[tex]\\ \sf\longmapsto x^{-1}+2[/tex]
Degree is less than 1 .It's not a polynomial
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 23 feet up. The ladder makes an angle of 75^{\circ}
∘
with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.
The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.
The ladder forms a right triangle as it lies against the wall as shown in the image below.
Thus:
x = length of the ladder (hypothenuse)
Reference angle [tex](\theta) = 75^{\circ}[/tex]
25 ft = Opposite
Apply SOH:
Thus,
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
Plug in the values[tex]sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}[/tex]
Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.
Learn more here:
https://brainly.com/question/23973168
Answer:
x=32.09 feet long
Step-by-step explanation:
broborborogjdgjdsfjshfha
Answer:
waja
Step-by-step explanation:
Answer:
Not answerable
Step-by-step explanation:
What is the question?
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
you got the answer right there
Step-by-step explanation:
Answer:
-14/25
Step-by-step explanation:
7x +2 / 2 - 5x = -2 / 5
First you can cross multiply (shown in the picture):
Next, expand the brackets:
5(7x + 2) = -2(2 - 5x) → 35x + 10 = -4 + 10x
Now, simplify:
35x + 10 = -4 + 10x → 35x - 10x = -4 - 10 → 25x = -14 → x = -14/25
Hope this helps!
oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?
Answer:
8.25 feet
Step-by-step explanation:
3 2/3 times 2 1/4 equals 8.25
How Do i get the correct answer for this?
Simple way :-
If a function has co-ordinates (x,y) then it's inverse has co-ordinates (y,x)
Now
(0,4)->(4,0)(1,6)->(6,1)(2,8)->(8,2)(3,10)->(10,3)Someone plz help me :(
D.
I am so sorry if it is wrong
Simplify 14 to the fifteenth power over 14 to the fifth power.
Answer:
4^10
subtract 15-5 and leave the 14 be
Answer:
14 to the tenth power
Step-by-step explanation:
fifteen - fifth = ten. When you are working on exponential problems like this, remember to add or subtract the powers.
NEED SOME HELP HERE answer
Answer:
C, move (translate) 5 units left
Step-by-step explanation:
Sliding or moving is called translating, and MATH is to the right of M'A'T'H' (prime), so translate 5 units left.