It would take about 3.4 seconds for the rocks to reach the ground.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the rock above the ground after t seconds. Given the equation:
h = -16t² + 186
The rock would reach the ground at h = 0, hence:
0 = -16t² + 186
16t² = 186
t = 3.4 seconds
It would take about 3.4 seconds for the rocks to reach the ground.
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Solve each pair of simulation equation.Giving both solutions. Multiply both equations by suitable numbers before adding/subtracting to elimination..
A) 6x-7y=9
3x+2y=54
B) 4x -5y =12
2x -3y =8
C)4x -2y=28
3x +3y=12
D)2x +5y =14
13x-11y=-83
Answer:
Step-by-step explanation:
I haven't got time to do all these by I'll give you the method in each case.
You have to make the x or y term equal (or 1 term + and other -) in both equations before adding or subtracting.
A . Multiply equation 2 by 2 and subtract (to eliminate x)
- don't forget to multiply EACH TERM by 2.
B. Multiply equation 2 by -2 and add.
C. Multiply equation 1 by 3 and equation 2 by 2 ( this will give -6y and +6y in the resulting equations ) so you then add to eliminate y.
D. Multiply equation 1 by 13 and equation and equation 2 by 2 to eliminate x then add.
answer the question with true or false:
Answer:
true
Step-by-step explanation:
PLS ANSWER IT I just need the answer
The y-intercept is (0,2)
you can find the y-intercept by finding the value of y when x = 0The slope is -5/2.
you can find the slope by using the equation below and any two points on the line, such as (0,2) and (2,-3)[tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0} =\frac{-5}{2}[/tex]
Hope that helps!
Write any two necessary condition for collinearity.
Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.
There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.
In general, three points A, B and C are collinear if the sum of the lengths of any two line segments among AB, BC and CA is equal to the length of the remaining line segment, that is, either AB + BC = AC or AC +CB = AB or BA + AC = BC.
In other words,
There points A, B and C are collinear if:
(i) AB + BC = AC i.e.,
Or, (ii) AB + AC = BC i.e. ,
Or, AC + BC = AB i.e.,
amount of money that is equal to 2 quarters.
1. 5 dimes
2 5 dimes 1 nickel
3.4 dimes
5.4 dimes 1 nickle
Answer:
1. 5 dimes
Step-by-step explanation:
5 dimes
Two quarters is $0.50.
1. 5 dimes = 5 * $0.10 = $0.50
2. 5 dimes + 1 nickel = 5 * $0.10 + $0.05 = $0.55
3. 4 dimes = 4 * $0.10 = $0.40
5. 4 dimes + 1 nickel = 4 * $0.10 + $0.05 = $0.45
The only amount of money that's equal to $0.50 is 1. 5 dimes
the quotient of m and 7
the quotient of m and 7 = m/7
50(17 + 5)
15(25 – 4)
40(39 + 14)
10(5 + 12)
22(14 – 3)
Answer:
Step-by-step explanation:
1)1100=50x22
2)315=15x21
3)2120=40x53
4)170=10x17
5)242=22x11
please rate and mask as brainlest.
Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
A sphere has a diameter of 3.8 centimeters.
The volume of the sphere is about
cm3
HELP ME PLSS I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Givens
pi = 3.14
d = 3.8
r = d/2
r = 3.8/2 = 1.9
Formula
V = (4/3) * pi * r^3
Solution
V = (4/3) * 3.14 * 1.9^3
V = 4/3 * 3.14 * 6.859
V = 28.7163
show your work please :(
Answer:
you cant see the picture
Step-by-step explanation:
can you please answer this, please show work
Answer:
6:8
Step-by-step explanation:
There are 6 squares and there are 8 triangles, just count them.
Answer:
3 : 4
Step-by-step explanation:
squares : triangles = 6 : 8 ( divide both parts by 2 )
= 3 : 4 ← in simplest form
Pls help me
What is the probability of a person randomly selecting a cheesecake, putting it back, and then selecting a cookie? Express your answer as a fraction, decimal, and percent.
3 are cookies
3 are cheesecake
4 are apple pie
The probability of selecting cheesecake and cookie is 9/100
What is probability?Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Total outcome = 3 + 3 + 4
Total outcome = 10
Pr(selecting cheesecake) = 3/10
Pr(selecting cookie) = 3/10
Pr(selectiing cheesecake and cookie) = 3/10 * 3/10
Pr(selectiing cheesecake and cookie) = 9/100
Hence the probability of selectiing cheesecake and cookie is 9/100
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Write y – 3 = (x – 6) in standard form.
Answer:
x-y=3
Step-by-step explanation:
Answer:
[tex]x - y = 3[/tex]
is
[tex]y - 3 = (x - 6)[/tex]
in standard form
The number of visitors p to a website in a given week over 1-year period is given by p(t)=119+(t-83)e^0.02t , where t is the week and t is greater than or equal 1 and less then or equal 52.a)over what interval of time during the 1-year period is the number of visitors decreasing?b)over what interval of time during the 1-year period is the number of visitors increasing?c)find the critical point, and interpret its meaning.
The function p(t) for the number of visitors over 1-year is an exponential function
The increasing interval is: [33,52]The decreasing interval is: [0, 33]There is no critical pointThe increasing and the decreasing intervalThe function is given as:
p(t) = 119 + (t-83)e^0.02t
Start by plotting the graph of the function p(t).
From the graph (see attachment), we have the parameters to be:
Increasing: [33,52]Decreasing: [0, 33]Critical point = NoneHence, the function has no critical point
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Answer number 8 please. Thank you.
Answer:
The answer is C. A triangle has a total angle of 180°, therefore C. is more than 180°
A quantity with an initial value of 200 grows continuously at a rate of 4% per second.
What is the value of the quantity after 1.55 minutes, to the nearest hundredth?
The growth of the quantity is an illustration of an exponential function
The value of the quantity after 1.55 minutes is 76759.22
How to determine the amount of the quantity?The given parameters are:
Initial value, a = 2000
Rate, r = 4%
An exponential growth function is represented as:
y = a(1 + r)^x
Substitute the value in the equation
y = 2000(1 + 4%)^x
After 1.55 minuted, x = 1.55 * 60
So, we have:
y = 2000(1 + 4%)^(1.55 * 60)
Evaluate the expression
y = 76759.22
Hence, the value of the quantity after 1.55 minutes is 76759.22
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Answer:
Step-by-step explanation:
9398.61
Write 16^1/4 as a power then evaluate
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2. To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16
Sandy is designing a circular garden as shown in this image. Her plan is to fill the rectangular region with hyacinths. She will need 78 square feet of space per hyacinth bulb. The hyacinth bulbs are sold in packages of 8.
What is the minimum number of packages Sandy must purchase to complete her plan?
Select from the drop-down menu to correctly complete the statement.
Sandy must purchase a minimum of _________
packages of hyacinth bulbs to complete her plan.
options are, 5,6,7,8
With one package (less actually) she can fill the 48ft^2 of the rectangular area.
How many packages does Sandy need?
We know that Sandy needs 7.8 square feet of space per hyacinth bulb, and the hyacinth bulbs are sold in packages of 8.
The rectangular region has a surface area of:
A = 8ft*6ft = 48 ft^2
The number of hyacinth bulbs that she can put in that surface is:
N = (48 ft^2/7.8 ft^2) = 6.15
So with 6 hyacinth bulbs, she can almost complete the rectangular area, and on each package there come 8 of them, so with one package she should be fine.
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Answer:
The answer is 7 PACKAGES
Step-by-step explanation:
I took the test!
What is the general equation of a cosine function with an amplitude of 3, a period of 4 pi, and a horizontal shift of negative pi? y = 4 pi cosine (3 (x minus pi)) y = 3 cosine (4 pi (x pi)) y = 3 cosine (0.5 (x pi)) y = 4 pi cosine (0.2 (x pi))
The general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].
What is a function?A function is a rule that relates two variables.
The parent function is:
[tex]f(x)=cosx[/tex]
We know the period of the parent function is 2π and the amplitude is 1.
For an amplitude of 3, we need to multiply the parent function by 3.
So, the function with amplitude 3 will be given by:
[tex]f(x) =3cosx[/tex]
For a period of 4π, we need to make the argument of the parent function half.
So, [tex]f(x) = 3cos(0.5x)[/tex]
A horizontal shift of negative π means, f(x) will become f(x+π)
So, [tex]f(x) =3cos(0.5x+\pi )[/tex].
Therefore, the general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].
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Answer:
Option C. y + 3cos (0.5(x+ pi))
:)
Write the term to term rule, position-to-term (nth term) and 20thterm of the sequence 3, -1 ,-5, -9, -13 ,....
It's a arithmetic sequence
First term=a=3common difference=d=-1-3=-4Nth term rule:-
[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]
[tex]\\ \rm\Rrightarrow a_n=3+(n-1)-4[/tex]
[tex]\\ \rm\Rrightarrow a_n=3-4n+4[/tex]
[tex]\\ \rm\Rrightarrow a_n=7-4n[/tex]
20th term
[tex]\\ \rm\Rrightarrow a_{20}=7-80=-73[/tex]
A store sells two cone-shaped funnels. What is the height of each funnel? Round your answer to the nearest tenth
(1 pt=28.875 in)
45 in
5 in
Volume 0.5 pint
Volume 1 pint
The height of the smaller funnel is about
inches.
The height of the larger funnel is about
inches.
Considering the volume of a cone, it is found that:
The height of the smaller funnel is about 2.72 inches.The height of the larger funnel is about 3.06 inches.What is the volume of a cone?
The volume of a cone of radius r and height h is given by:
[tex]V = \frac{\pi r^2h}{3}[/tex]
For cone 1, we have that V = 0.5 x 28.875 = 14.4375 in³ and r = 2.25 in(half the diameter), hence:
[tex]\frac{\pi (2.25)^2h}{3} = 14.4375[/tex]
[tex]h = \frac{14.4375 \times 3}{\pi \times (2.25)^2}[/tex]
[tex]h = 2.72[/tex]
For cone 2, we have that V = 28.875 in³ and r = 3 in, hence:
[tex]\frac{\pi (2.25)^2h}{3} = 28.875[/tex]
[tex]h = \frac{28.875 \times 3}{\pi \times (3)^2}[/tex]
[tex]h = 3.06[/tex]
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URGENT!
7. At what rate was an investment made that obtains $359.80 in interest compounded annually on $668 over five years?
[compound interest rate]
Answer:
Rate = 13.173% per year
Step-by-step explanation:
**Not 100% sure about this answer, but I think it's right.**
Calculation Steps:
Solving for rate r as a decimal
r = n[(A/P)^1/^nt - 1]
r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]
r = 0.131731
Then convert r to R as a percentage
R = r * 100
R = 0.131731 * 100
R = 13.173%/year
in the expansion of ( x^3 - 2/x^2 ) ^10 , find the coefficient of 1/x^5
Answer:
240
Step-by-step explanation:
We need to find the coeffeicent of the binomial expansion of
[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} [/tex]
Note that
[tex] - 2 {x}^{ - 2} = - \frac{2}{ {x}^{2} } [/tex]
The binomial theorem states that
[tex](x + y) {}^{n} = x {}^{n} y {}^{0} + \binom{n}{1} x {}^{n - 1} y + \binom{n}{2} x {}^{n - 2} y {}^{2} ....... + x {}^{0} y {}^{n} ( \binom{n}{n} )[/tex]
Using this, we let expand our series
[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} = x {}^{30} + \binom{10}{1} ( {x}^{27} 2 {x}^{ - 2} ) + \binom{10}{2} {x}^{24} 2x {}^{ - 4} + \binom{10}{3} {x}^{21} 2x {}^{ - 6} + \binom{10}{4} {x}^{18} 2x { }^{ - 8} + \binom{10}{5} x {}^{15} 2x {}^{ - 10} + \binom{10}{6} x {}^{12}2 x {}^{ - 12} + \binom{10}{7} x {}^{ 9} 2x {}^{ - 14} + \binom{10}{8} x {}^{ 6} 2x {}^{ - 16} + \binom{10}{9} ( {x}^{3} )2x {}^{ - 18} + 2x {}^{ - 20} [/tex]
[tex] \frac{1}{ {x}^{5} } = x {}^{ - 5} [/tex]
So what term in the series eqaul x^-5.
That term is the 10 choose 7 term.
[tex] \binom{10}{7} {x}^{9} 2x {}^{ - 14} [/tex]
Because
[tex] = \binom{10}{7} 2x {}^{ - 14} {x}^{9} = \binom{10}{7} 2 {x}^{ - 5} [/tex]
So we need to compute 10 choose 7.
That equals
10!/3!(7!)= 10×9×8/6= 720/6=120.
So we get
[tex]120(2) {x}^{ - 5} [/tex]
[tex]240 {x}^{ - 5} [/tex]
So the coeffceint u
is 240
The Width of a rectangle is a third as long as the length. If the perimeter is 24 inches, what is the area of the rectangle?
Answer:
27
Step-by-step explanation:
Width = w
length = l
w=1/3 * l
or, l=3w
perimeter=2l+2w=24
2(l+w)=24
2(3w+w)=24
2*4w=24
8w=24
w=3
l=9
Area=3*9=27
Does anyone know the answer to this ?? PLEASE HELP.
No links please, don’t answer if you don’t know it :,)
Answer:
2,365,200,000 times
Step-by-step explanation:
Given :
Average heartbeat rate = 60 times/minuteAvg. human lifespan = 75 yearsTo Find :
Number of heartbeats in lifetime of 75 yearsSolving :
Let the number we require be nn = average heartbeat rate x 60 x 24 x 365 x 75n = 60 x 60 x 24 x 365 x 75n = 3600 x 24 x 365 x 75n = 86400 x 365 x 75n = 31536000 x 75n = 2,365,200,000 timesAndy, Brenda, Carla, and Diego put their names in a hat and pull out two names.
If A represents Andy, B represents Brenda, C represents Carla, and D represents
Diego, what are all the different pairs of names they can pull out?
Answer:
A and B
A and C
A and D
B and C
B and D
C and D
good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answer:
3/5
Step-by-step explanation:
Hope that this helped :)
I need help with this math problem!
Answer:
the value is 120 i think and 2 x-intercepts for the graph of f
Step-by-step explanation:
sorry if it's wrong
Please help like right now
Answer:
hope this helps :)
Step-by-step explanation:
50 points, PLEASE HELP
i have a test in 2 hours i really need to know how to do this problem
25g^2 - 15gh - 28h^2
Answer:
the answer is (5g+4h)(5g-7h)
Step-by-step explanation:
25g^2-15gh-28h^2
=(25g^2+20gh)+(-35gh-28h^2)
=5g(5g+4h)-7h(5g+4h)
=(5g+4h)(5g-7h)
What is the least common denominator of
7/9 and 17/18?
Answer:
18
Step-by-step explanation:
9 can be multiped by 2 to get to 18 :)