The answers to all the parts are given below.
To find the answers using a function:The height equation is:
h(t) = - 16t^2 + 100t + 10
A) To find the maximum height, we must find the time where the velocity is 0, so we must derive it with respect to the time.
v(t) = - 2 * 16 * t + 100 = 0
t = 100/(2*16) = 3.125s
Now we put this time in our height equation:
h(3.125s) = -16*3.125^2 + 100*3.125 + 10 = 166.25 ft.
B) The lowest height of the potato will be h = 0ft when the potato hits the ground.
C) the lowest time that works for that function is t = 0s when the potato is fired by the gun.
D) the maximum time can be found when the potato hits the ground, after that point the equation does not work anymore, let's find it,
h(t) = 0 = -16t^2 +100t+10
we can solve it using Bhaskara's equation:
[tex]t=\frac{-100+-\sqrt{100^{2} +4*16*10} }{-2*16} =\frac{-100+-103.2}{-32}[/tex]
So the two solutions are:
t = 6.3s
t = -0.1s
We need to choose the positive time, as we already discussed that the minimum time that works for the equation is t = 0s.
so here the answer is t = 6.3s
E) the domain is 0s ≤ t ≤ 6.3s
The range is 0ft ≤ h ≤ 166.25 ft.
Therefore, the answers to all the parts are shown.
Know more about a function here:
https://brainly.com/question/78672
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PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY
Answer:
z=95
Step-by-step explanation:
z-28=67
+28 +28
x=95
all you have to do is make both side of the eqaution balanced
if you add 28 to one side you do it to the other side as well
Plz plz, help I don't understand 24 points !!! Will mark brainiest for correct answers only quick!!!
SPIRAL REVIEW - Find the value of the expression below.
96 ÷ 4² + (25×2) - 15 - 3
Answer:
38
Step-by-step explanation:
96/16
+(25)(2)−15−3
=6+(25)(2)−15−3
=6+50−15−3
=56−15−3
=41−3
=38
Hey, guys I need help :D
Answer:
D
Step-by-step explanation:
Dilating BC to B'C' by a factor of 1/2 makes each side of the triangle halved. Originally BC is 16, so when it's halved, it becomes 8
We know when triangle are similar and are changed only by a scale factor, the angle will not change. Angle A' = 28 degrees
The equation y+6=3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
o y = 1/2x-3
Oy=}x+9
yafe- ར ་
y=3x+3
Ginger the cat weighed 25lbs! The vet put Ginger on a diet and by the end of the month, Ginger weighed 20lbs. What percentage of her weight did Ginger loose? She lost of her weight.
Answer:
20%
Step-by-step explanation:
25 divided by 5 is 5 and in fractions 1/5 is 20 therefore 20% for every 5 pounds so if you lose 5 pounds you lost 20% of her weight.
Answer:
ana totta
Step-by-step explanation:
A right triangle has side lengths d, e, and f as shown below. Use these lengths to find sinx, tanx, and cosx.
Step-by-step explanation:
In the given triangle,
Perpendicular = d
Hypotenuse = e
Base = f
We need to find the values of sinx, tanx and cosx.
We know that,
[tex]\sin \theta=\dfrac{P}{H}\\\\\tan\theta=\dfrac{P}{B}\\\\\cos\theta=\dfrac{B}{H}[/tex],
We have, P = d, H = e and base = f
So,
[tex]\sin \theta=\dfrac{d}{e}\\\\\tan\theta=\dfrac{d}{f}\\\\\cos\theta=\dfrac{f}{e}[/tex]
Hence, this is the required solution.
Using the lengths given, the Trigonometry ratios of the right triangle are:
sin x = d/e cos x = f/etan x = d/fRecall:
In a right triangle where we are given a reference angle, ∅, with three sides, we can solve the triangle using the Trigonometry ratios given as: SOH CAH TOA.Given the following:
∅ = xOpposite = dHypotenuse = eAdjacent = fThus:
sin x = Opp/Hyp = d/e (SOH)
cos x = adj/Hypo = f/e (CAH)
tan x = Opp/Adj = d/f (TOA)
Therefore, using the lengths given, the Trigonometry ratios of the right triangle are:
sin x = d/e cos x = f/etan x = d/fLearn more about Trigonometry ratios on:
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A rectangle with length 3 1/2 ft and width 2 1/4 ft what is the area
Answer:
Step-by-step explanation:
Hope this helps
click link
Answer: 5 2/6
Step-by-step explanation:
PLS HELPP I WILL GIVE BRAINLIEST
Please find X ASAP. You’ll find it on the picture
Answer:
51°
Step-by-step explanation:
so lets all know that the sum of a trapezoid is 360°
so lets find x
360-83-115-111=51
so your answer is 51°
Hope this helped :)
Help please will give the brainliest
Answer:
Every angle of Square = 90°
diagonal bisects the angle in half.
=> angle FGI = 45°
=> 7x+3=45
=>7x=42
therefore, x=42/7=6
Evaluate -4 x (2 + -3).
Answer:
positive 4
Step-by-step explanation:
you first add the numbers in the numbers in the brackets
2+-3=-1
-4×-1=+4
Step-by-step explanation:
-4×(2+(-3) )
= -4×(2-3)
=-4×-1
= 4
Answer for brainliest
Step-by-step explanation:
The diameter is 6, so the square is also 6 feet by 6 feet. This means the square has an area of 36 feet.
Find the area of the circle:
3.14 * 3^2
3 ^ 2 = 9
3.14 * 9 = 28.26
Now find the area of the edges of the square.
36 - 28.26 = ~7.74 ft
can someone explain how to do this
Answer:
مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك
Step-by-step explanation:
Answer:
I recommend using GeoGebra to graph the coordinates
Step-by-step explanation:
I use that whenever someone asks if certain coordinates make a shape
Here's the link:
http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html
can anyone answe this?
Answer:
Corresponding
Step-by-step explanation:
HCF of 10,100,1000.
Answer:
So the greatest common factor 10 and 1000 is 10.
plz mark me as brainliest
Think of a favorite dance move, such as the Running Man. Determine whether there is periodicity associated with this dance move.
Answer:
I don't remember if Alan Walker can dance :/
Step-by-step explanation:
Dream did it better than me, you should see his answer.
Answer:
I don't know
Step-by-step explanation:
Write an equivalent expression by factoring for 6a + 15
You have $10 saved. Each week you receive $5 more. Fill in the table to show how much you will have each week. You keep filling out the table to see how much you will have at the end of 6 weeks.
Answer:
90
Step-by-step explanation:
You have 10 dollars saved and each week you recieve 5,multiply 10 x 5 and then multiple 15x6 and there you go
Determine whether these triangles are similar. If so, circle the appropriate reason below. Please show all work.
Answer:
Yes these triangles ate similar.
Step-by-step explanation:
The two triangles are similar if their third angle is equal. The sum of all angles of triangles must be equal to 180 degrees. The triangle 1 has sum of 180 degrees and triangle 2 has sum of 180 degrees. These triangles have third angle same which is 45 degrees.
someone answer this please!! make sure to consider the function f(x)=3x-1
Answer:
The answers go
2
-1
-4
4
Please help me giving brainliest
Answer:
90 degrees
Step-by-step explanation:
classmate is muy stupio
the non 90 degree angles are all congruent
which means each of them are 45 degrees
cuz triangle degree add up to 180
then
u use subtraction
cuz a line is 180 degrees
Kate got 2 out of the 3 questions correct on her pop quiz what is her grade
Answer:
0.6666666666etc but you have to round it to 67 because it is closer to 67
Step-by-step explanation:
Convert to 0,125km
to centimetres..........
Answer:
12500 cm
Step-by-step explanation:
0,125 km = 125 m (times 1000 because 1 km = 1000 m)
125 m = 12500 cm (times 100 because 1 m = 100 cm)
CAN SOMEONE HELP ME PLEASE
Answer:
[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]
For the diagram shown, find the measures of angles 4,
5, and 6.
m_4 =
degrees
m25 =
degrees
m26 =
degrees
Answer:
m∠4 = 57 degrees
m∠5 = 123 degrees
m∠6 = 35 degrees
Step-by-step explanation:
Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.
Answer:
x = 6
Step-by-step explanation:
If A, B and C lies on a straight line in order, then;
AB+BC = AC
x+12+2x-4 = 26
x+2x+12-4 =26
3x+8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Hence the value of x is 6
''This graph shows parabola y=ax^2+bx+c. What is the possible value of a?''
3. Sadie and Josie are asked to wrie an expression equivalent to 3(2x+3y).
Sadie writes the expression 6x+9y.
Josie writes the expression 18xy.
Who is correct and why?
A. Sadie is correct because 3(2x)+3(3y)=6x+9y.
B. Sadie is correct because 3+2x+3+3y=6x+9y.
C. Josie is correct because 3 2x 3y=18xy.
I
D. Josie is correct because 3(6xy)=18xy.
I will mark brain list to the person who got it correct
Answer:
-6
djdhhdhdxbxvsbsbvsshhsdh
-6 hehdbnfjenend
Step-by-step explanation:
hfea ehsusbshidbd