4. Mr. Downey used the function f(x) = -3x2 + 12x to model the flight of a glider. In Mr. Downey's
functions, x is the amount of time that passes in minutes and f(x) is the glider's distance from the ground in
feet. After how many seconds will the glider reach its maximum distance from the ground?
Answers
Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
Answer:
After 2 seconds
Step-by-step explanation:
Here is the screenshot of the parabola that formed from the quadratic equation.
As you can see the maximum point of the parabola reaches 12 feet after 2 seconds.
Also as stated in the question " After how many seconds will the glider reach its maximum distance from the ground?" We are trying to see at how many seconds the glider reaches the maximum point, not how many seconds until it lands.
Thus, the answer would be 2 seconds
Related Questions
Pls help me. I will give you 10 points respond fast!
Answers
Answer:
plz tell first what is your answer
Step-by-step explanation:
GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.
Add a pic or something
I’ll give brainest just help
Answers
Answer:
B
Step-by-step explanation:
HELP ASAP
Briefly describe the relationship between the construction of a robotic arm and the stability of the robot.
Answers
Answer:
If the same tech in the robotic arm is used throughout the body then depending on whether the arm tech is good the stability of the body will be good or bad.
Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +6
1. 11 to the power of 16 x 11 to the power of 1=
2. a to the power of 6 x a to the power of 8 =
3. (-2) to the power of 12 x (-2) to the power of 1=
4. 1.1 to the power of 7 x 1.1 to the power of 9 =
5. 3 to the power of 4 x 5 to the power of 2 =
Answers
Step-by-step explanation:
1. 11 to the power of 16 x 11 to the power of 1
[tex]11^{16}*11^1=11^{16+1}=11^{17[/tex]2. a to the power of 6 x a to the power of 8
[tex]a^6*a^8=a^{6+8}=a^{14}[/tex]3. (-2) to the power of 12 x (-2) to the power of 1
[tex](-2)^{12}*(-2)^1=(-2)^{12+1}=(-2)^{13}[/tex]4. 1.1 to the power of 7 x 1.1 to the power of 9
[tex]1.1^7*1.1^9=1.1^{7+9}=1.1^{16}[/tex]5. 3 to the power of 4 x 5 to the power of 2
Assumed it is both 3 or 5, we take 3
[tex]3^4*3^2=3^{4+2}=3^6[/tex]On Tuesday at lunchtime, it was -10°C. By sunset, the
temperature had dropped 14°C.
Answers
Answer:
By sunset the temperature was -24
Step-by-step explanation:
The reason for this is you start off with -10, then the word dropping relates to subtraction, meaning that the equation is -10-14, and when you subtract a negative, you are actually adding to it, so you can drop the negative for now, and you have 10+14 which equals 24, then add the sign back in to get -24C.
Hope This Helps. I would know, figuring I am in High School Statistics.Find a second-degree polynomial P such that P(2)
9, P'(2) = 11, and p'(2) = 8.
Answers
Answer:
firfire is ur answer write this
The length of a rectangular sign is 5 times its width. If the sign’s perimeter is 24 inches, what is the sign’s area The sign's area is ___ square inches.
Answers
The sign's area is 80 square inches.
A rectangle is a quadrilateral. This means that a rectangle has four sides.
The area of a rectangle = length x width
Perimeter of a rectangle = 2 x ( length + width)
Let the width of the sign be represented with w
The length of the sign is 5x
Substitute these dimensions into the formula for the perimeter of a rectangle.
(x + 5x) = 24
6x = 24
x = 24/6
x = 4 inches
The length is 5 x 4 = 20 inches
Area of the sign = 20 x 4 = 80 inches²
To learn more about the perimeter of a rectangle, please check: brainly.com/question/18793958?referrer=searchResults
Lois is baking pies and cakes for a family party. The pie recipe calls for cups
of vegetable ol, and the cake recipe calls for 1 cups of vegetable oil. If Lois
wants to bake 2 pies and 2 cakes, how many cups of vegetable oil does she
need?
Answers
Answer:
the answer to your question is is 5 and more
WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four
Answers
Answer:
[tex]3x - 4[/tex] ÷ [tex]\frac{1}{2}[/tex]
Find the value of x.
Answers
Step-by-step explanation:
By using angle sum property
x-43+x-39+2x-18=180
4x=180+100
4x=280
x=280/4
x=70°
Simplify 11 square root 1215
Answers
Answer:
9 • sqrt(15)
Step-by-step explanation:
A car that travels 20 miles in 12hour at constant speed is traveling at the same speed as a car that travels 30 miles in 34 hour at a constant speed. Which of these explains or shows why? Select all that apply.Both cars are moving 10 miles in a quarter of an hour, so they are at the same speed.Both cars are moving a multiple of 10 miles.Both cars can travel 40 miles in an hour, so they are traveling at the same speed.Both cars have moved for less than an hour, so they are traveling at the same speed.
Answers
Answer:
wait I will give the answer in 2 minutes
Step-by-step explanation
Workout the picture below
Answers
Answer:
4 times
Step-by-step explanation:
Area of circle A
[tex]\pi \times {r}^{2} = area \: of \: a \: circle \\ \pi = 3.14 \\ 3.14 \times {8}^{2} \\ 3.14 \times 64 = 200.96 \: {cm}^{2} [/tex]
Area of circle B
[tex]\pi\times 4 (because \: radius \: is \: the \: half \: of \: diameter) \\ 3.14 \times 4 square = 50.24\: {cm}^{2} [/tex]
How many times larger is the area of circle A than circle B
[tex]200.96 \div 50.24 = 4[/tex]
therefore circle A is 4 times larger than circle B in accordance with its area
The perimeter of a rectangle window is 362 cm. If the length of the window is 97 cm, what is its width?
Answers
Answer:
w=84cm
Step-by-step explanation:
97
cm
P Perimeter
362
cm
Using the formula
P=2(l+w)
Solving forw
w=P
2﹣l=362
2﹣97=84cm
Sorry explanation is short, hope i helped u
Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?
Answers
Answer:
32.65
Step-by-step explanation:
Answer:
Total cost of purchase = $32.66
Step-by-step explanation:
$30.45 before tax
If sales tax = 7.25% or 0.0725, then: $30.45 × 0.0725 = $2.21
Add the sales tax of $2.21 to $30.45 = $32.657 or $32.66
Therefore, the total cost of his purchase is $32.66
(x+3)(x²-3x+9)-(54+x³)
Answers
Answer:
x² - 3x ≤ 54 m²
Step-by-step explanation:
Step-by-step explanation:
and ? what do we need to do with this ?
compress/simplify this ?
if that is true :
(x+3)(x²-3x+9)-(54+x³)
x³ - 3x² + 9x + 3x² - 9x + 27 - 54 - x³ = -27
Write the side length of the square as a square root. Is the side length a rational number? Explain. a= 121
Answers
Answer:
yes
Step-by-step explanation:
Note that [tex]121=11^2[/tex].
The side length of the square with an area of [tex]121=11^2[/tex] will be [tex]\sqrt{11^2}[/tex].
Recall that [tex]\sqrt{a^2}=a[/tex], so the side length is [tex]\sqrt{11^2}=11[/tex]. [tex]11[/tex] is clearly rational because it's an integer, so the answer is [tex]\boxed{yes}[/tex], it is rational.
Please help me solve this question.
Answers
Answer:
ZXY = KXH by reason SAA
Step-by-step explanation:
I believe that is the answer.
also, SAA stands for Side, Angle, Angle
It could also be AAS
Either one is right.
AAS or SAA
Please help me need help.
Answers
Answer:
On the image.
Step-by-step explanation:
On the image. Hope this helps!
7) Why must the amount of hot chocolate (50 ml) be the same in both cups for the experiment to work?
Answers
Because the amount of hot chocolate is an independent variable and needs to stay consistent throughout the experiment
Please answer this question
Answers
Step-by-step explanation:
a ) 19 + 7 = 26
26 ÷ 2 = 13
13 - 5 = 8 ans
b) (19+7/2)-5
[tex]( \frac{19 + 7}{2} ) - 5[/tex]
hope this answer helps you dear...
A
19 + 7 / 2 - 5
According to PEMDAS, division comes first, so we start by diving 7 by 2, which equals 3.5.
19 + 3.5 - 5 = 17.5
B
19 + 7 / 2 - 5
In order for this to equal 8, the brackets will be placed like this: (19 + 7)/2 - 5
It gives (26)/2 - 5
Then we divide 26 by 2 (according to PEMDAS once again)
We get 13 - 5 = 8
C
19 + 7 / 2 x 6 + 1
In order to get 2 as an answer, we place the brackets this way:
(19 + 7)/(2 x 6 + 1)
(26)/(12 + 1)
26/13 = 2
Hope it helps!!
Graph by using the slope and the y intercept.
Answers
1. a) equation of the line :
[tex]y = \dfrac{2}{5}x - 7[/tex]y - intercept = -7
so, it will pass through point (0, -7)
and if we plug the value of x as 5, we get
[tex]y = (\dfrac{2}{5} \times 5) - 7[/tex][tex]y = 2 - 7[/tex][tex] = - 5[/tex]so, it will pass through point (5, -5) too
now, just plot the points (0 , -7) and (5 , -5) and join them.
2. b) equation of line is :
[tex]y = - 3x + 5[/tex]here, y - intercept = 5
so the line passes through point (0 , 5)
now, Plugging the value of x = 1 we get :
[tex]y =( - 3 \times 1) + 5[/tex][tex]y = - 3 + 5[/tex][tex]y = 2[/tex]so, the given line passes through point (1 , 2)
plotting the points, we can get our required line.
Line L and m are prendicular with point of intersection P. Noah says that a 180 degree rotation with center p has the same effects on points in the plane as reflecting over line m. Do you agree with Noah? Explain your reasoning
Answers
The point of intersection is the point where two or more lines meet.
Noah's claim is incorrect
The given parameters are:
Line l, line m and point of intersection p
See attachment for illustration of the perpendicular lines l and m.
Figure 1 represents the original lineFigure 2 represents the line rotated 180 degreesFigure 3 represents the line reflected over line mUsing the attachment as a guide, we can see that both transformations do not have the same effect on the points on both lines.
This is so because, figures 2 and 3 can be transformed to one another by reflecting across line l.
Hence, Noah's claim is incorrect
Read more about transformations at:
https://brainly.com/question/13801312
The speed (v) of a gear varies inversely as the number of teeth (t). If a gear that has 48 teeth makes 20 revolutions per minute, how many revolutions per minute will a gear that has 30 teeth make?
I give Brainliest! Please show work too.
Answers
Answer:
80
Step-by-step explanation:
Help on this please will make brainliest
Answers
Answer:
help on what?
Step-by-step explanation:
Answer:
You need to post a question or a screenshot of the question so someone can help you!
Evaluating
70 points worth is it worth it. Also whoever get it right or to the closest answer gets an brainliest.
Answers
Answer:
1
Step-by-step explanation:
first, solve in the parentheses then solve from there:
1 + 4 = 5
50 - 5^2 / 25
50 - (5 x 5 ) /25
50 - 25 / 25
25 / 25
1
[tex]\\ \tt\longmapsto \dfrac{50-(1+4)^2}{25}[/tex]
[tex]\\ \tt\longmapsto \dfrac{50-5^2}{25}[/tex]
[tex]\\ \tt\longmapsto \dfrac{50-25}{25}[/tex]
[tex]\\ \tt\longmapsto \dfrac{25}{25}=1[/tex]
Consider the inequality.
What is the solution to inequality
Answers
Answer:
C, hope this helps :)
Answer:[tex]x\leq 2[/tex]
Step-by-step explanation:
Giving right answer a branleist
Answers
0.46 = .46/1 = 46/100 = 23/50
The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.
Answers
The linear function for the depth of water after t hours is given by:
[tex]d(t) = 17 - 1.5t[/tex]
The format of a linear function is given as follows:
[tex]d(t) = d(0) - at[/tex]
In which:
d(0) is the y-intercept, which is the initial value.a is the slope, which is the rate of change.The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour, which means that [tex]a = -1.75[/tex], thus:
[tex]d(t) = d(0) - 1.5t[/tex]
The depth after 6 hours of draining is 8 feet, which means that when [tex]t = 6, d(t) = 8[/tex]. This is used to find d(0).
[tex]d(t) = d(0) - 1.5t[/tex]
[tex]8 = d(0) - 1.5(6)[/tex]
[tex]d(0) = 17[/tex]
Then
[tex]d(t) = 17 - 1.5t[/tex]
A similar problem is given at https://brainly.com/question/16302622
at a toy store colton can buy a package of 6 mini footballa for $7.50. or a package of 8 mini footballs for $9.60. wich option has the lesser price per mini football
Answers
Answer:
The 6 pack
Step-by-step explanation:
i searched it up
The required option that has a lesser price per mini football is a package of 8.
Given that,
at a toy store, Colton can buy a package of 6 mini footballs for $7.50. or a package of 8 mini footballs for $9.60. wich option has the lesser price per mini football is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
For 6 package footballs the cost of a mini football = 7.50 / 6 = $1.25.
For 8 package footballs the cost of a mini football = 9.60 / 8 = $1.20.
Thus, the required option that has a lesser price per mini football is a package of 8.
Learn more about simplification here: https://brainly.com/question/12501526
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