Answer:
it is at 200 mph
Step-by-step explanation:
bc i did the test
The quadratic function which models the motion of the penny is h(t) = -4.9t² + 10.18t + 26.6 and the maximum height reached is 31.53 meters
The relationship can be expressed in the form :
h(t) = - 0.5gt² + vt + h (downward motion)
g = 9.8 m/s²
h = 26.6 m
v = ?
We can obtain v thus ;
h(t) = -0.5gt² + vt + 26.6
h(t) = - 4.9t² + vt + 26.6
Time when penny hits the ground ; t = 3.59
h(3.59) = 0
0 = -4.9(3.59)² + v(3.59) + 26.6
− 63.15169 + 3.59v + 26.6 = 0
3.59v = 36.55169
v = 36.55169 /3.59
v = 10.181 m/s
Equation becomes :
h(t) = -4.9t² + 10.18t + 26.6
2.) The maximum height of the penny above the ground ;
t = 0.77 secondsh(0.77) = -4.9(0.77^2)+ 10.18(0.77) + 26.6
Maximum height reached = 31.53 meters
Therefore, the maximum height reached is 31.53 meters
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Please help if u see this
[tex](f \circ g)(x) = x+12[/tex]
Domain = [-3, infinity)
==================================================
Work Shown:
[tex]f(x) = x^2 + 9\\\\f(g(x)) = (g(x))^2 + 9\\\\f(g(x)) = (\sqrt{x+3})^2 + 9\\\\f(g(x)) = x+3 + 9\\\\f(g(x)) = x+12\\\\(f \circ g)(x) = x+12\\\\[/tex]
In step 2, we replaced every x with g(x)
In step 3, we plugged in g(x) = sqrt(x+3)
The domain of g(x) is [-3, infinity), so this is the domain of [tex](f \circ g)(x)[/tex] as well since the composite function depends entirely on g(x). Put another way: the input of f(x) depends on the output of g(x), so that's why the domains match up.
3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
which of the following are true of linear functions?
Answer:
1. 3. 6.
Step-by-step explanation:
Answer:
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function has a constant rate of change.
Step-by-step explanation:
The slope of the line that passes through the points (0, 3) and (5, 13) Is
Answer:
The slope would be 2
Step-by-step explanation:
The Snells can spend 4 nights at a resort for $500 or 6 nights at the same resort for $750. Find the slope.
Answer:
///////////////////////
that is hard but the answer is 1,256 I think that is right
a PetSmart your dad is trying to decide which type of dog food to purchase. if he is solely trying to find the product with the cheapest cost per ounce, which item should be purchase? (these prices are accurate!)
can you tell me to 3148 nearest thousand
Answer:
3k or 3000
Step-by-step explanation:
Ask yourself this: "Is 3148 closer to 3000, or is it closer to 4000?"
The answer is 3000 since 3148-3000 = 148 while 4000-3148 = 852
Put another way, we round 3148 to 3000 since the next digit after the thousands place is not a 5 or larger. So we just drop the 148 and replace those digits with 0s.
fkkfjfcjcjjc ekkfjfjfhgfjfnfhfhfhrj
I- I'm speechless
Do you even have a question-
if I'm born in January 4th 2009 how old am I in 2020
Answer:
11
Step-by-step explanation:
i was born one year before you
I WILL MARK BRAINLIST
Answer:
I think it's B.
Step-by-step explanation:
Hope that helped! Have a great rest of your day!
MNO and MPO are isosceles triangles. Find angle t
Answer:
t = 20°
Step-by-step explanation:
Recall that the base angles of an isosceles ∆ are equal to each other.
This means that:
<NMO and <NOM of ∆MNO are congruent to each other.
Thus,
m<NMO = ½(180 - m<N) = ½(180 - 70)
m<NMO = ½(110)
m<NMO = 55°
Also, <PMO and <POM are congruent to each other. Thus:
m<PMO = ½(180 - m<P) = ½(180 - 110)
m<PMO = ½(70)
m<PMO = 35°
Therefore,
m<NMO = t + m<PMO (angle addition postulate)
55° = t + 35° (substitution)
Subtract 35 from each side
55° - 35° = t
20° = t
t = 20°
what is the function of this graph?
Answer:
-2 X3
Step-by-step explanation:
pls help thx , I’m behind ;(
5x - 4y + 8 ; x = 8 , y = 2.5
Answer:
38
Step-by-step explanation:
because u deleting this app
In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC
Answer:
hb=4√3
Step-by-step explanation:
Answer:
AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
To find AB:
∆ABC is an 30,60,90∆
Using the theorem, you can find AB = 2AC = 2*4 = 8
AB = 8
To find HB:
You need to find AH to subtract from AB
Construct CH, a perpendicular bisector to side AB
From before you can put together that m∠CAB = 60°
∆ACH is an 30,60,90∆
Using this method again, AH = AC/2 = 4/2 = 2
Then you subtract AH from AB = 8-2 = 6
HB = 6
To find the area of ∆ABC:
You use the (base*height)/2 method
base = AB = 8
to find the height, CH, you need to use the Pytha Theorem
and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]
then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]
calculate and get CH = 2[tex]\sqrt{3}[/tex]
then the height = CH = 2[tex]\sqrt{3}[/tex]
solve the area and get
Area of ∆ABC = 8[tex]\sqrt{3}[/tex]
(optional perimeter)
to find perimeter of ∆ABC:
you add AC + CB + AB
you find CB by using opposite to 30°
CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]
so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8
Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]
Hope this helps!!
help meeeeee plsssss
Wriye the equation Y=-4/5x-6
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = − 5Y/4 − 15/2
7 milloin 481 thousand 624in standard form
Answer:
7,481,624
Step-by-step explanation:
Answer:
7.48 x10^6
Step-by-step explanation:
Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?
Answer:
5 twenty's 1 five
Step-by-step explanation:
20 x 5 = 100
100 = 5 = 105
plz help me it makes nooo sense
Answer:
The triangle on the left for a is 79 degrees and the one to the right is 63 degrees
Step-by-step explanation:
A triangle is equal to 180 degrees and to find the missing side you subtract the two values that you have to get the missing one.
Determine the slope and y-intercept of each graph. Then, write the equation of the graph in slope-intercept form.
Answer:
slope= -2/1
y int= (0,2)
equation= Y= -2/1x+2
Step-by-step explanation:
Answer:
Slope: 1/3x (over one up three)
Y intercept: (0,2)
Equation: y=1/3x+2
Step-by-step explanation:
y=1/3x+2 is the equations...X is always the slope and the 2 is the y.
(0,2) is the Y intercept because that is where it crosses the Y axis.
slope: 1/3x (over one up three)
Hope this helps.
Consider a right-tailed test (upper tail) and a sample size of 40 at the 95% confidence level. The value of t is ________.
a. +2.023
b. -2.023
c. -1.685
d. +1.685
Answer:
The correct option is d.
Step-by-step explanation:
The directional hypothesis is:
[tex]H_{a}:\mu>\mu_{0}[/tex]
The sample size is, n = 40.
The significance level is:
[tex]\alpha =1-0.95=0.05[/tex]
Use the t-table to compute the right-tailed t-critical value as follows:
[tex]t_{\alpha,\ (n-1)}=t_{0.05, (40-1)}[/tex]
[tex]=t_{0.05, 39}\\\\\approx t_{0.05, 40}\\\\=1.684\\\\\approx 1.685[/tex]
The value is positive since the directional hypothesis suggests that the test is right tailed.
The correct option is d.
x-1/4(12-x)=x+3(4-x)-2x
A.) -20/7
B.) 20/7
C.) 7/20
D.) -7/20
Answer:
The answer is B
Step-by-step explanation:
hope this helps
The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side
Step-by-step explanation:
Given parameters:
Perimeter of triangle = 69cm;
Unknown:
Length of each side = ?
Solution:
Side a is 5cm shorter than side b;
b = a + 5 ----- i
Side c is 5 more than twice side b;
c = 2b + 5
The three sides of triangle are a, b and c;
Perimeter is the sum of sides of a body;
a + b + c = 69
From i;
a = b - 5
b
c = 2b + 5
so;
b - 5 + b + 2b + 5 = 69
4b = 69
b = 17.25cm
a = b -5 = 17.25 - 5 = 12.25cm
c = 2(17.25) + 5 = 39.5cm
PLEASE HELP!!!!! A jar contains 5 blue, 2 red and 3 green marbles Develop a probability model for randomly drawing a marble out of the jar.
Answer:
There is a 50% chance of a blue marble
20% chance of a red marble
30% chance of a blue marble
what number makes equation true enter the answer in the box
_ / 6 = 7
Answer:
42
Step-by-step explanation:
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Find the volume of the cylinder please
Answer:
105.m3
Step-by-step explanation:
Assume that math SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. If you scored 560, what percentage of those taking the test scored below you?
Answer:
89.2% scored below you
Step-by-step explanation:
500/560 = 0.892...
0.892 x100= 89.2%
x + 8x + 15 help me out with this plz
Answer:
3(3x + 5)
Step-by-step explanation:
x + 8x + 15 Combine liked terms
9x + 15
GCF: 3
3(3x +5) Factor
152. divided by 190.
