Answer:
0.0597in/s
Step-by-step explanation:
The volume of the spherical balloon V= 4/3πr³
r is the radius of the balloon
The rate at which the volume is changing dV/dt is expressed as;\
dV/dt = dV/dr*dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
dV/dt = 3 in³/s
Substitute inti the formula
3 = 16πdr/dt
dr/dt = 3/16π
dr/dt = 3/50.24
dr/dt = 0.0597in/s
Hence the balloon is increasing at the rate of 0.0597in/s
In 2003, 520,000 acres of farmland in a region were devoted to growing nuts. By 2012 ,the number of acres used to grow nuts had increased 820,000.Find the average rate of change in the number of acres in a region used to grow nuts from 2003 to 2012.
Answer:
Average rate of change = 33,333.33acre per year
Step-by-step explanation:
Given:
Farm land in 2003 = 520,000 acre
Farm land in 2012 = 820,000 acre
Find:
Average rate of change
Computation;
Number of year = 2012 - 2003
Number of year = 9 year
Average rate of change = [Farm land in 2012 - Farm land in 2003] / Number of year
Average rate of change = [820,000 - 520,000] / 9
Average rate of change = [300,000] / 9
Average rate of change = 33,333.33acre per year
Based on the family the graph below belongs to, which equation could represent the graph?
where is the graph????
Step-by-step explanation:
PLZ HELP ASAP!!!!!!!!!!!!!!
Answer:
AB = 5√55
Step-by-step explanation:
Part 1 = AD = 25
Hypotenuse = AC = 55
Leg 1 = AB = x
To find AB, apply the leg rule which is:
Hypotenuse/leg 1 = leg 1/part 1
Plug in the values
55/x = x/25
Cross multiply
x*x = 55*25
x² = 1,375
x = √1,375
x = 5√55
AB = 5√55
i need help! plz (listing BRAINLIST and giving points) :D
Answer:
4
Step-by-step explanation:
these are two similar triangles, so to solve for x, we create two similar ratios!
x/2 = 7/3.5
cross multiply.
14=3.5x
divide 14 by 3.5
x=4
In the school chorus,
5/25 of the students are fourth-graders.
In simplest form, what fraction of the students in the school chorus are fourth graders?
Answer:
1/5 of the students are 4th graders
Determine the value of "k" when the lines y=k3x+2 and y=14x+2 are perpendicular. Show your work. (3 marks/PS)
Answer:
[tex]k=-\frac{1}{42}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2)Given the equation [tex]y=14x+2[/tex], we can identify the slope (m) to be 14. This means that the slope of a perpendicular line would have to be [tex]-\frac{1}{14}[/tex] since that is its negative reciprocal.
In the equation [tex]y=k*3x+2[/tex], the slope would be 3k. 3k would be equal to [tex]-\frac{1}{14}[/tex]:
[tex]3k=-\frac{1}{14}[/tex]
Divide both sides by 3 to solve for k
[tex]k=-\frac{1}{42}[/tex]
I hope this helps!
37% of what number is 72?
Answer:
26.64
Step-by-step explanation:
37% of x = 72
0.37x = 72
isolate x
x = 72*0.37
x = 26.64
Can someone please help me with this problem?
Answer:
C 6
Step-by-step explanation:
Pythagoras
c² = a² + b²
117 = x² + (x+3)² = x² + x² + 6x + 9 = 2x² + 6x + 9
=>
108 = 2x² + 6x
54 = x² + 3x
0 = x² + 3x - 54 = (x-6)(x+9)
just think by what numbers can we divide 54 without any remainder (so that when multiplying we get 54) ? and which pair of these have a difference of 3 (so that with +/- combination we get "3x" in the multiplication)?
the solutions for x are the 2 numbers that would make one of the bracket expressions 0, as this turns the whole expression to 0.
x = 6 and x = -9
a negative number does not make any sense for a side length.
so, the only possible solution is x = 6
What is the value of the angle X in the following diagram ?
A)60 degree
B)100 degree
C)120 degree
D)140 degree
Any help ?! plz
Answer:
D
[tex]x + 40 \degree = 180\degree \\ x = 180\degree - 40\degree \\ x = 140\degree[/tex]
Answer:
x = 140°
Step-by-step explanation:
x and 40° are adjacent angles and sum to 180° , then
x + 40° = 180° ( subtract 40° from both sides )
x = 140°
find the value of x. round to the nearest tenth. 9,4, x
Answer:
Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!
Answer:
24.6° (nearest tenth) .
You are told that a random sample of 150 people from Manchester New Hampshire have been given cholesterol tests, and 60 of these people had levels over the "safe" count of 200. Construct a 95% confidence interval for the population proportion of people in New Hampshire with cholesterol levels over 200.
Answer:
The 95% confidence interval for the population proportion of people in New Hampshire with cholesterol levels over 200 is (0.3216, 0.4784).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
You are told that a random sample of 150 people from Manchester New Hampshire have been given cholesterol tests, and 60 of these people had levels over the "safe" count of 200.
This means that [tex]n = 150, \pi = \frac{60}{150} = 0.4[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.96\sqrt{\frac{0.4*0.6}{150}} = 0.3216[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.96\sqrt{\frac{0.4*0.6}{150}} = 0.4784[/tex]
The 95% confidence interval for the population proportion of people in New Hampshire with cholesterol levels over 200 is (0.3216, 0.4784).
A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.
This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.
What is ???
Answer:
37.71 hours
Step-by-step explanation:
Saphire
1garden/88hours
Varsha
1garden/ 66 hours
Together
1/88 + 1/66 = x
use 264 as common denominator
3/264 + 4/264 = 7/264
Together they can do 7 gardens in 264 hours
264/7 = 37.71 hours for 1 garden
-----------------------------------
Sometimes Brainly double types numbers
If you meant 6 hours and 8 hours
1/6 + 1/8 = x
4/24 + 3/24 = 7/24
24/7 = 3.43 hours
Which of the following is an example of a conditional statement?
Answer:
The correct answer is A, If I practice football, then I will improve.
please help i suck at math and i really need help i do anything just help
Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.
b) The number of coasters with a logo bought and the price of the coasters.
c) Is either coaster relationship proportional? Explain in writing how you know.
d) Explain what the unit rate of the line described by each equation means in the context of the coasters.
2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.
Answer:
a
Step-by-step explanation:
What is the surface area of the solid that this net can form?
8 mm
25 mm
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
O 875 square millimeters
O 1,000 square millimeters
O 1,444 square millimeters
Answer:
730
Step-by-step explanation:
separate each rectangle
use the formula to calculate the area of each rectangle.
1st rectangle
area = length ×breadth
length =5, breadth =8+25+8=41
A1=5×41=205
2nd rectangle
A2=8×25=200
....
A3=5×25=125
A4=8×25=200
Add all As and you have your ans 730
How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
I
Use 3.14 for it and round your answer to the nearest millimeter if necessary.
1. What is the height of the cone? Explain how you found the height.
Best complete answer will get mark brainiest
Step-by-step explanation:
the volume of the cone = ⅓×3.14×20²×h
8,792 = 1,256 h/3
=> h = 3×8,792/1,256
= 21 mm
the height of the cone = 21 mm
the slant s = √20²+21²=√400+441
=√941 = 29 mm
Adriana sold 50 shares of a company’s stock through a broker. The price per share on that day was $22.98. The broker charged her a 0.75% commission. What was Adriana’s real return after deducting the broker’s commission?
A.
$8.62
B.
$229.80
C.
$1,140.38
D.
$1,149.00
HELP!!! PLEASE!!!!!!!!!!
which of the following is equivalent to 2 stretching below? (14-9i)+(2+3i)..
Answer:
(14-9i)+(2+3i) = 16-6i
Step-by-step explanation:
We need to find the equivalent of (14-9i)+(2+3i).
We need to add the two expressions.
(14-9i)+(2+3i) = 14+2 -9i+3i
= 16-6i
Here, the real part is 16
The imaginary part is -6
Hence, the required answer is equal to 16-6i.
Please help!!
Will mark brainilest!!
Point of intersection is the solution of the system of equations.
Both of them intersect at point (-3,5)
So, (-3,5) is the solution of the system of equations.
OPTION B
Answer:
(-3,5)
Step-by-step explanation:
The solution to the system is where the two graphs intersect. They intersect at two points
(-3,5) and (1,-3)
The only solution listed as a choice is (-3,5)
area of a trapezium.
Answer:
Step-by-step explanation:
A= (a + b) * h/2
Answer:
what they said
Step-by-step explanation:
yeah what they said
Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?
Answer:
probably linear graph 'cause it's in a straight line
Answer:
Step-by-step explanation:
First graph is correct which satisfies the given informations.
The graph is attached below.
Given:
Becky made a graph to show how far she was from her house.
She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.
She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.
Learn more about distance here:
brainly.com/question/5993643
#SPJ1
Three lines intersect at point P, as shown in the diagram below. Find the measure of
Answer:
VPQ = 83°
Step-by-step explanation:
You can draw a circle around the point P, and a circle have 360°, so it means that the sum off all the angles have ro be 360°. Some of these angles have the same measure, because they're formed by the same lines segments, they are:
SPR = UPV; TPU = RPQ; TPS = VPQ
360 - SPR - UPV - RPQ - TPU = VPQ + TPS
As some of they are equal, we can just multiply they by 2:
360 - 2×SPR - 2×RPQ = 2× VPQ
360 - 2×35 - 2×62 = 2×VPQ
360 - 70 - 124 = 2×VPQ
2 VPQ = 166
VPQ = 166/2
VPQ = 83°
Please help x – 6 ≥ –7?
Answer:
x ≥ -1
Step-by-step explanation:
just add 6 to both sides.
Answer:
Inequality Form: x≥−1
Step-by-step explanation:
Suppose that it is reported in the news that 12% of the people living and working in Kokomo feel that their commute is too long. What is the travel time to work that separates the top 12% of people with the longest travel times and the lower 88%
Answer:
22.3 minutes
Step-by-step explanation:
The computation of the travel time is as follows:
Given that
[tex]\mu[/tex] = 17
And, the standard deviation is 4.5
P(X≤C) = 0.88
P( x - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] ≤ (C - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] = 0.88
(C - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] = 1.175
c = [tex]\mu[/tex] + 1.175 × [tex]\sigma[/tex]
= 17 + 1.175 × 4.5
= 22.3 minutes
Hence, the travel time is 22.3 minutes
6h+(−8.1d)−14+5d−2.5h
Answer:
3.5h-3.1d-14
Step-by-step explanation:
6h+(−8.1d)−14+5d−2.5h
Combine like terms
6h -2.5h -8.1d +5d -14
3.5h-3.1d-14
solve 3x²-2x-5=0 by factorization method
Answer:
Step-by-step explanation:
3x^2 -2x -5=0
3x^2 -(5-3)x -5=0
3x^2 -5x +3x -5=0
x(3x -5)+1(3x -5)=0
(x+1)(3x-5)=0
either (x+1)=0 OR, (3x-5)=0
x+1=0
x=0-1
x=-1
3x-5=0
3x=0+5
x=5/3
x=-1, 5/3
Which of the following points lies on the graph of the function y = 3 Superscript x?
a. (1, 0)
c. (3, 1)
b. (2, 9)
d. (0, 3)
Please select the best answer from the choices provided
A
B
C
D
Answer:
(2,9)
Step-by-step explanation:
I am assuming that you mean: [tex]y= 3^x[/tex]
I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.
This means that Option B is the correct answer.
See graph below.
Hope this helps.
Find the value of x.
Answer:
B I think because i did my math
Step-by-step explanation:
Solve for x in the equation x squared + 14 x + 17 = negative 96.
