Answer:
1. h = h₀ + u×t - 1/2×g×t²
2. 2.95 s
3. 152.14 ft
4. 3.07 s
Step-by-step explanation:
The given parameters are;
Vertical velocity of the balloon = 95 ft/s
Height from which the balloon is released = 12 feet
The function is h = h₀ + u×t - 1/2×g×t²
Where:
h = Height of the balloon at time t
h₀ = Initial height of the balloon = 12 feet
u = Initial upward velocity of the balloon = 95 ft/s
t = Time duration of motion
g = Acceleration due to gravity = 32.2 ft/s²
2. The time to maximum height is found from;
v = u - g·t
Where:
v = Final velocity = 0 m/s at maximum height
∴ 0 = 95 - 32.2 × t
32.2·t = 95
t = 95/32.2 = 2.95 s
Therefore, the time it will take to reach maximum height = 2.95 s
3. From h = h₀ + u×t - 1/2×g×t², we have;
h = 12 + 95×2.95 - 1/2×32.2×2.95² = 152.14 ft
4. Therefore;
152.14 = 0×t + 1/2 × 32.2 × t²
t² = 152.14/16.1 = 9.45 s
t = √9.45 = 3.07 s
Answer:
The function is: y(t) = 12 + 95*t - 16.085*t²
The time it'll take to reach the maximum height is: 2.95 s
The maximum height is: 152.27 ft
The time it'll take to hit the ground is: 12 s
Step-by-step explanation:
The water ballon is under the constant acceleration of gravity, therefore it's movement can be modelled by the equations that describe constant acceleration movement, as shown below:
y(t) = y(0) + v(0)*t - 0.5*g*t²
The acceleration is negative, because they are contrary to the movement. Applying the data form the problem, we have:
y(t) = 12 + 95*t - 0.5*32.17*t²
y(t) = 12 + 95*t - 16.085*t²
This equation describes a parabolla, therefore the time at which it achieves the maximum height is the "x" coordinate for the vertex, which can be found by using the formula below:
t = (-b)/[2*a]
t = (-95)/[2*(-16.085)] = -95/(-32.17) = 2.95 s
And the maximum height is:
y(2.95) = 12 + 95*2.95 - 16.085*(2.95)² = 152.27 ft
The time it'll take to reach the ground is:
y(0) = 12 + 95*0 - 16.085*(0)² = 12 s
Marta wants to go to college, but she's concerned about the cost. Which option would you recommend?
A
taking out a private loan and attending a state college
B
taking out a private loan and attending a private college
C
taking out a federal loan and attending a state college
D
taking out a federal loan and attending a private college
Answer:
A
Step-by-step explanation:
The option that would be recommended is C. taking out a federal loan and attending a state college.
From the information given, it was stated that Marta wants to go to college, but she's concerned about the cost. Based on the information, it's important to choose an affordable option for her. Therefore, the best option that will be recommended will be taking out a federal loan and attending a state college since it's cheaper.Learn more about loans on:
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What’s the area of this figure?
Answer:
13 sq cm.
Step-by-step explanation:
To find the area of this irregular figure, we will need to find the areas of a rectangle and triangle within this figure.
To find the area of the rectangle, we can simply do:
1 × 4= 4 sq cm.
Now, this is where it gets a little trickier. To find the area of the triangle, we will first need to determine the base and height.
We can see from the diagram that to find the base, we need to subtract:
7-4= 3 cm. This is the base of ONLY the triangle.
To find the height, we will need to do:
5+1= 6 cm. This is the total height of the entirety of the triangle.
We can now use the Triangle Area formula: [tex]\frac{1}{2}[/tex](bh), to calculate the area of the triangle.
[tex]\frac{1}{2}[/tex] (6*3)= 9 sq cm.
Finally, add the areas of the rectangle and triangle together, giving you:
9+4= 13 sq cm.
Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answers to the tenths place.
A rectangular prism has length 12.4 meters, height 9 meters, and width 7.8 meters. A smaller rectangular prism inside the larger prism has length 3 meters, width 1.8 meters, and height 9 meters.
a.
870.5 cube meters
c.
48.6 cube meters
b.
821.9 cube meters
d.
919.0 cube meters
Answer: 821.9 cube meters
Step-by-step explanation:
Hi, to answer this question we have to calculate both rectangular prisms volume:
Volume: Length x width x height
Replacing with the values given:
Large solid volume = 12.4 x 7.8 x9 =870.48 cubic meters
Small solid volume = 3 x 1.8 x 9 =48.6 cubic meters
Next, we have to subtract the smaller solid's volume to the large solid’s volume .
870.48-48.6 = 821.88 = 821.9 cubic meters
Feel free to ask for more if needed or if you did not understand something.
Answer:
the answer is b
Step-by-step explanation:
what metric unit you would use to measure the weigh of a teaspoon of flour
Factor this polynomial: x^2 + 6x + 9
(x+3)(x+3)
(x-3) (x-3)
(x-3) (x+3)
(x+3) (x-3)
Answer:
(x+3)(x+3)
Step-by-step explanation:
1) this polynomial is in the form of ax^2+bx+c
c=9
b=6
a=1
what*what=c(9)
and what+what=b(6)
3 is the answer to both questions:
now substitute "3x" in place of "6"
x^2+3x+3x+9
split in 2 groups:
group a) (x^2+3x)
gcf of group a=x
x(x+3)
group b) (3x+9)
gcf of group b=3
3(x+3)
combine the numbers OUTSIDE the parantheses
so
(x+3)(x+3)
Answer:
(x+3)(x+3)
Step-by-step explanation:
answer quick for brainliest...
Answer:
D. y=25
Step-by-step explanation:
Answer:
The answer is D.
Step-by-step explanation:
You have to substitute x = 5 into the equation of y :
[tex]y = 5x[/tex]
Let x = 5,
[tex]y = 5(5)[/tex]
[tex]y = 25[/tex]
A set of average city temperatures in July are normally distributed
with a mean of 23.5 degrees Celsius and a standard deviation of 2 degrees
Celsius. The average temperature of the City of Van Nuys is 23 degrees
Celsius.
What percentage of average city temperatures are higher than that of the
City of Van Nuys?
a) 59.87%
b) 44.04%
C) 55.96%
d) 40.13%
Answer:
a) 59.87%
Step-by-step explanation:
Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.
The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
The average temperature of the City of Van Nuys is 23 degrees. The z score is
[tex]z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25[/tex]
P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%
Help pls???!??!?!?!!?
Answer:
height = 6 cm
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )
Here V = 100.48 and r = 4, thus
[tex]\frac{1}{3}[/tex]π × 4²h = 100.48
Multiply both sides by 3 to clear the fraction
3.14 × 16h = 301.44 ( divide both sides by 3.14 × 16 )
h = [tex]\frac{301,44}{3.14(16)}[/tex] = 6 cm
N a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above the ground), t seconds after Sally kicked it, is modeled by: -2t^2+10t What is the height of the ball at the time it is kicked?
Answer:
At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.
Step-by-step explanation:
The height of the ball after t seconds is given by the following equation:
[tex]h(t) = -2t^{2} + 10t[/tex]
What is the height of the ball at the time it is kicked?
The ball is kicked at t = 0.
So we have to find h(0)
[tex]h(0) = -2*0^{2} + 10*0 = 0[/tex]
At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.
please help me out here! I’ll give you brainlist ! :)
Answer:
a=9 b=2 c=7 d=9
Step-by-step explanation:
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
0
O
2 units
4 units
8 units
16 units
0
Answer:
the answer is 8 units so that all i have to say.
The radius of a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2 is mathematically given as
r=4 units, Option B is correct
What is the radius of a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2?Question Parameters:
a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2
Generally, the equation for the circle is mathematically given as
(x + 5)^2 + (y - 3)^2 = 4^2
Therefore, its standard form of a circle equation is
(x-h)^2+(y-k)^2=r^2
In conclusion, Comparing both equations
r^2=4^2
r=4
Read more about Arithmetic
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Please help me with this!
Answer:
Step-by-step explanation:
DE = LK {given that length of DE & LK are equal}
EF = JK {given that length of EF & JK are 8 cm}
DF = LJ { given}
ΔDEF ≅ ΔLKJ by SSS congruent
Two similar cylinders have surface areas of 24 cm2 and 54 cm2. The volume of the smaller cylinder is 16 cm2.
What is the volume of the larger cylinder?
36 cm2
46 cm2
48 cm2
54 cm2
Answer:
54pie cm2 is the correct answer
Final answer:
The volume of the larger cylinder is 36 cm².
Explanation:
To find the volume of the larger cylinder, we need to compare the surface areas of the two cylinders. Let's assume that the surface area and volume of the smaller cylinder are represented by SA1 and V1 respectively, and the surface area and volume of the larger cylinder are represented by SA2 and V2 respectively.
Since the cylinders are similar, their surface areas and volumes are proportional. Therefore, we can set up the following ratio: SA1 / SA2 = V1 / V2. Plugging in the given values, we get: 24 / 54 = 16 / V2. Solving for V2, we find that the volume of the larger cylinder is 36 cm².
What is the surface area, in square centimeters, of the rectangular prism below?
Answer: A. 724
Step-by-step explanation:
Is c=4 a solution of the equation 50= 6c
Answer:
no
Step-by-step explanation:
50 = 6c
Substitute the value in for c and see if the equation is true
50 = 6*4
50 = 24
This is not true so c=4 is not a solution
Answer: 8 and 1/3
Step-by-step explanation:
6 times 8 equal 48
6 times 1/3 equal 2
48 plus 2 equal 50
I NEED HELP PLEASE!!!!
Answer: the answer is 13
Step-by-step explanation:
Mean means to find the average so add them all and divide by 4.
What is the value of x in the equation shown below?
x^3−5=59
Answer: This is an easy one, its either 21, 21 and a half, or 22, if not than its at least in the 20s.
Step-by-step explanation:
Convert the unit of capacity.
2 qt 1 cup = ___ fl oz
A.
40
B.
72
C.
80
D.
136
Answer: 72 US FLUID OUNCES
Answer:
The answer is B i think
Hope this helps :D
¯\_(ツ)_/¯ ☜(ﾟヮﾟ☜)
The five posters made for spirit week are being hung in the front hall. What is the probability the largest poster will be in the center in the next largest will be on its left?
Answer:
1/20 or 0.05
Step-by-step explanation:
Assuming that all five posters are different, the number of ways to randomly place those posters is given by:
[tex]N=5*4*3*2*1 = 120\ ways[/tex]
If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:
[tex]n=3*2*1*1*1=6\ ways[/tex]
Therefore, the probability is:
[tex]P=\frac{n}{N}=\frac{6}{120} =\frac{1}{20} =0.05[/tex]
The probability is 1/20 or 0.05.
Please HURRY Explain how to use guess and check reasoning to solve
for the unknown number.
The quotient of a number and seven is nine
I
Answer:
Step-by-step explanation:
This translates immediately into n/7 = 9. We can isolate (find) n by multiplying both sides of this equation by 7, obtaining n = 63.
Or we could guess and check: if the quotient is 9, we could round that up to 10, obtaining n/7 = 10, or n = approximately 70.
Answer:
Sample Answer: Quotient means the result of division. To use guess and check to solve, you would divide different numbers by 7 until you get 9. The result is 63 ÷ 7 = 9. The quotient of sixty-three and seven is nine.
Step-by-step explanation:
My Answer: Guess and check means you guess different numbers until you get the correct answer. For example, let’s start with the number 60. You will get a decimal if you do that problem, so that’s no the answer. Then you keep guessing. The correct answer is 63. 63 divided by 7 is 9.
which two features are present in a plant cell but not in an animal cell
Answer:
The two features present in a plant cell, but not in an animal cell are chloroplasts and a large central vacuole.
Step-by-step explanation:
The two features which are structures found in plant cells but are not present in animal cells are:
Cell WallChloroplastThere are features that differentiates a plant cell from an animal cell. Two of such features that are unique to plant cells are:
Cell Wall: This gives the firmness, strength and protects the plant.Chloroplast: This contains chlorophyll which aids photosynthesis in plants.These two plant cell features or structures are absent in an animal cell.
A plant cell and its various organelles/structure is shown in the image attached below.
Therefore, the two features which are structures found in plant cells but are not present in animal cells are:
Cell WallChloroplastLearn more here:
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Identify the Y intercept using the graph below
Answer:
-2 is the answer
Step-by-step explanation:
the x-axis is the horizontal line, while the y-axis is the vertical line. and the point is -2
Answer:
-2
Step-by-step explanation:
The y-intercept is where the line crosses the y axis.
The height of a tree increases by 60% each year. When planted the tree was 40cm tall.
How tall will the tree be in 5 years time.
Answer:
Step-by-step explanation:
divide 60% divided by 40 and then X five
The graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.
A graph shows the horizontal axis numbered 7.5 to x. The vertical axis is unnumbered. The graph shows an upward trend from 8 to 9.5 then a downward trend from 9.5 to 11.
Which weights are within 2 standard deviations of the mean? Select three options.
8.4 lbs
8.9 lbs
9.5 lbs
10.4 lbs
10.9 lbs
Please consider the graph.
We have been given that graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic. We are asked to choose the weights, which are within 2 standard deviations of the mean.
We can see from our graph that mean of the weights is 9.5 and standard deviation in 0.5.
The data point that would be below two standard deviation is: [tex]9.5-2\times 0.5[/tex] that is [tex]9.5-1=8.5[/tex].
The data point that would be above two standard deviation is: [tex]9.5+2\times 0.5[/tex] that is [tex]9.5+1=10.5[/tex].
Now we need to check the data points that lie within 8.5 and 10.5.
Upon looking at our given choices, we can see that 8.9, 9.5 and 10.4 pounds lie within 2 standard deviation of the mean.
Therefore, 8.9 lbs, 9.5 lbs and 10.4 lbs are correct choices.
Answer:
8.9, 9.5, 10.4
Step-by-step explanation:
got it right on ed2020
Which expressions are equivalent to 12x - 6? Select all that apply.
6(2x-1)
-6(2x+1)
-6(2x-1)
-6x(2x-1)
6x(2-1)
Step-by-step explanation:
12x - 6
-12x - 6
-12x + 6
-12x2 + 6x
12x - 6
Option A and E are the correct answer
The only expression equivalent to 12x - 6 is 6(2x-1). Hence first option is correct.
The question asks which expressions are equivalent to 12x - 6. Let's evaluate each given option:
6(2x-1): Distributing the 6 gives 12x - 6, which is equivalent to the original expression.
-6(2x+1): Distributing the -6 gives -12x - 6, which is not equivalent to the original expression.
-6(2x-1): Distributing the -6 gives -12x + 6, which is not equivalent to the original expression.
-6x(2x-1): This expression cannot be simplified to the form of a single term in x and a constant; thus, it's not equivalent.
6x(2-1): Simplifying inside the parentheses first gives 6x, which is not equivalent to the original expression.
Therefore, the only expression equivalent to 12x - 6 is 6(2x-1).
A spinner has red, green, blue and orange sections. The probability of landing on red is 2/3,on green 1/12, on blue is 1/12. What is the probability of landing on orange.
Answer: P(landing on orange)=1 - [2/3 + 1/12 + 1/12]
so =1/6
The probability of landing on orange is 1/6.
What is Probability ?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.
The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Probability Formula = f/n
where,
f is the number of times an event occurs
n is the total number of trials
It is given that
The probability of landing on red is 2/3, on green 1/12, on blue is 1/12.
The probability of happening a event is P , then Probability of not happening is 1-P
the probability of landing on orange
= 1- { (2/3) +(1/12)+(1/12)}
=1/6
Therefore the probability of landing on orange is 1/6.
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there are 24 flower in a bunch 15 of the flowers are tulips, 8 of the flowers are pink, 5 of the flowers are pink tulips... draw a Venn diagram to show this information.
WHAT IS THE RIGHT ANSWER I WIL GIVE YOU BRAINLIEST IF IT IS CORRECT
V = (3) squared (14)
V = pi (6) squared (14)
V = pi (3) squared (14)
V = pi (14) squared (6)
same as V = pi*3^2*14
========================================================
Work Shown:
V = volume of cylinder
V = (area of circular base)*(height)
V = (pi*r^2)*(h)
V = pi*r^2*h
V = pi*3^2*14 ..... radius 3 is half of diameter 6
We write "3^2" as a shorthand way of saying "3 squared" or "(3) squared".
The mass of the sphere is 800 lbs. Find the density of the sphere to the nearest tenth.
answer choices
7.8 lbs/ft3
21.2 lbs/ft3
28.3 lbs/ft3
7.1 lbs/ft3
Answer:
7.1 lbs / ft^3
Step-by-step explanation:
In this question, we are asked to calculate the density of the sphere in the diagram.
Firstly, to calculate the density , we apply a mathematical formula.
Mathematically, density = mass/volume
We have the mass already from the question but we will need to calculate what the volume is.
Mathematically, the volume of a sphere = 4/3 * pi * r^3
From the diagram, we can see that the radius of the sphere is 3 ft. Plugging this into the equation of the volume of a sphere, we have;
4/3 * 22/7 * 3^3
= 4/3 * 22/7 * 27
= 113.143 ft^3
Now, we substitute the volume into the density equation;
Recall, density = mass/volume
From the question, our mass is 800 lbs and from calculations, volume is 113.143 ft^3
Density = 800 lbs/ 113.143 ft^3 = 7.07 lbs/ ft^3 which is approximately 7.1 lbs/ ft^3
Find the distance between (0,10) and (12,1)
A. 12
B. 11
C. 15
D. 16
9514 1404 393
Answer:
C. 15
Step-by-step explanation:
The distance formula can be used for this.
d = √((x2 -x1)² +(y2 -y1)²) = √((12 -0)² +(1 -10)²) = √(144 +81) = √225
d = 15
The distance between the points is 15 units.
_____
Alternate solution
You may recognize that the slope of the line is -3/4, suggesting that this is some multiple of a 3-4-5 right triangle. That multiple is 9/3 = 12/4 = 3, so the hypotenuse of the triangle is 5×3 = 15 units.
Final answer:
The distance between the points (0,10) and (12,1) is 15 units.
Explanation:
The distance between the points (0,10) and (12,1) can be found using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given coordinates, the calculation becomes:
d = sqrt((12 - 0)^2 + (1 - 10)^2)
d = sqrt(12^2 + (-9)^2)
d = sqrt(144 + 81)
d = sqrt(225)
d = 15
Therefore, the distance between the two points is 15 units.