Answer:
45.9183 as the maximum height ............
Step-by-step explanation:
max height=v²/2g
=900/19.6
=45.9183 ................
Which point is a solution to this system of inequalities?
y ≤1/2x-3
y+2x greater than 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D)(4,1)
The point is a solution to this system of inequalities y ≤1/2x-3 and y+2x greater than 6 are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of imbalances y ≤ 1/2x - 3 and y + 2x > 6, we want to test each answer decision to check whether it fulfills the two disparities.
A) (7,- 8):
y ≤ 1/2(7) - 3 = 0.5
y + 2(7) > 6
This point doesn't fulfill the primary imbalance, so it's anything but an answer.
B) (2,- 3):
y ≤ 1/2(2) - 3 = - 2
y + 2(2) > 6
This point fulfills the two imbalances, so it is an answer.
C) (5,- 2):
y ≤ 1/2(5) - 3 = - 0.5
y + 2(5) > 6
This point doesn't fulfill the main imbalance, so it's anything but an answer.
D) (4,1):
y ≤ 1/2(4) - 3 = - 1
y + 2(4) > 6
This point fulfills the two imbalances, so it is an answer.
Accordingly, the answers for the arrangement of imbalances are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of disparities y ≤ 1/2x - 3 and y + 2x > 6, we really want to test each answer decision to check whether it fulfills the two imbalances. Just response decisions B) (2,- 3) and D) (4,1) fulfill the two imbalances, making them the arrangements.
To learn more about inequalities, refer:
https://brainly.com/question/28895822
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I need a good grade on this final for my pc lol
Answer:
no idea
Step-by-step explanation:
Jk the answers square
What is an area model of 15 times 11
Answer:
165
Step-by-step explanation:
you need to x it
Your social security number?
A) continuous
B) discrete
C)categorical
using the elimination method to solve the system of equations.
3x+6y =36
3x-6y=0
a. 3,6
b. 6,-3
c. 6,3
d. 3,-6
Answer:
c. (6, 3)
Step-by-step explanation:
subtract
3x + 6y = 36
3x - 6y = 0
12y = 36, y = 3
3x + 6(3) = 36
3x + 18 = 36
3x = 18, x = 6
x = 6, y = 3
Answer:
the answer is b good luck
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
Classify the triangle with side lengths of 16, 13, and 12 as acute, right, or obtuse
Answer:
16+13+12=41
Step-by-step explanation:
it is acute
Haley brought 4 boxes of candy canes at the santa store if each box of candy canes cost $2.65 and she paid with a twenty dollar bill how much change should get back
Answer: $9.04
Step-by-step explanation:
one box is $2.65 and $2.65x4=$10.09 and if there is a $20.00 then $20.00-$10.09=$9.04. :P
Find the sum.
(8b + 8) + (7m – 2) + (4n + 4)
(8b + 8) + (7m - 2) + (4n + 4) =
(Simplify your answer.)
Answer:
8b + 7m + 4n = -10
Step-by-step explanation:
(8b + 8) + (7m – 2) + (4n + 4)
First thing to do is to try to open the brackets, so we have
8b + 8 + 7m - 2 + 4n + 4 =
Next, we collect like terms, so that we have
8b + 7m + 4n + 8 - 2 + 4 =
8b + 7m + 4n + 10 =
And rearranging, we have that
8b + 7m + 4n = -10
What is the product?
Step-by-step explanation:
(-2a² + s)(5a² - 6s)
= (-2a²)(5a²) + (-2a²)(-6s) + (s)(5a²) + (s)(-6s)
= -10a⁴ + 12a²s + 5a²s - 6s²
= -10a⁴ + 17a²s - 6s². (1st option)
The rainfall for the month of July was above average. The water level in a small lake measured 834 feet at the beginning of the month. Due to all the rainfall, the water level rose 35 of a foot per week for the first three weeks, then the lake dropped 12 foot in the last week of the month.
What was the water level of the lake at the end of July?
A
979ft.
B
101120ft.
C
10120ft.
D
71120ft.
Answer:
927 ft so A
Step-by-step explanation:
Answer:
Step-by-step explanation:
9 7/9
helpppp
i need help quickly
Answer: 140?
I am not really sure but I think 140......
How can 14 x 50 help you find 14 x 49?
Answer/Explanation:
It might not help you figure out the exact answer, but it definitely helps you estimate. By knowing that 14x50=700, you can guess that 14x49 equals something close to 700.
Hope this helps! Have an amazing day ❤
Rewrite the following in the form log(c).
log(8) – log(2)
Answer:
log(c). log(8) - log(2)
Step-by-step explanation:
5.
16 yd)
14 yd
6 yd
are you looking for the perimeter or area or what
Which triangles are congruent by SAS???
Answer:
Triangle VTU and ABC are congruent by SAS
Step-by-step explanation:
You can tell that these triangles are the same because the lines on the sides and angle are the same.
Which points are on the graph of the equation −3 + 6 + 5 = −7 ? Select all that apply.
A.
(-3, 6)
B.
(-2, 0)
C.
(0, -2)
D.
(6, -3)
E.
(8, 2)
Answer:
i think is the A and D
i hope this hepl you
A.) what is the domain?
B.) what is the range?
C.) is this relation a function?
Answer:
The Domain is the set of all points over which a function is defined.
The range is the set of values the function takes on as output.
A constant volume of pizza dough is formed into a cylinder with a relatively small height and large radius. The dough is spun and tossed into the air in such a way that the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t=k, the height of the dough is 13 inch, the radius of the dough is 12 inches, and the radius of the dough is increasing at a rate of 2 inches per minute.
(a) At time t=k, at what rate is the area of the circular surface of the dough increasing with respect to time? Show the computations that lead to your answer. Indicate units of measure.
(b) At time t=k, at what rate is the height of the dough decreasing with respect to time? Show the computations that lead to your answer. Indicate units of measure. (The volume V of a cylinder with radius r and height h is given by V=πr2h.)
(c) Write an expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of height h and radius r.
Answer:
a) [tex]\frac{dA}{dt} = 48 \pi\frac{in^{2}}{min}[/tex]
b) [tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]
c) [tex]\frac{dh}{dt} = - 2\frac{h}{r} \frac {dr}{dt}[/tex]
Step-by-step explanation:
In order to solve this problem, we must first picture a cylinder of height h and radius r (see attached picture).
a) So, in order to find the rate at which the area of the circular surface of the dough is increasing with respect to time, we need to start by using the are formula for a circle:
[tex]A=\pi r^{2}[/tex]
So, to find the rate of change of the area, we can now take the derivative of this formula with respect to the radius r:
[tex]dA = \pi(2) r dr[/tex]
and divide both sides into dt so we get:
[tex]\frac{dA}{dr} = 2\pi r \frac{dr}{dt}[/tex]
and now we can substitute:
[tex]\frac{dA}{dr} = 2\pi(12in)(2\frac{in}{min})[/tex]
[tex]\frac{dA}{dt} = 48\pi\frac{in^{2}}{min}[/tex]
b) In order to solve part b, we can start with the formula for the volume:
[tex]V=\pi r^{2} h[/tex]
and solve the equation for h, so we get:
[tex]h=\frac{V}{\pi r^{2}}[/tex]
So now we can rewrite the equation so we get:
[tex]h=\frac{V}{\pi}r^{-2}[/tex]
and now we can take its derivative so we get:
[tex]dh=\frac{V}{\pi} (-2) r^{-3} dr[/tex]
we can rewrite the derivative so we get:
[tex]\frac{dh}{dt}=-2\frac{V}{\pi r^{3}}\frac{dr}{dt}[/tex]
we can take the original volume formula and substitute it into our current derivative, so we get:
[tex]\frac{dh}{dt}= -2\frac{\pi r^{2} h}{\pi r^{3}} \frac{dr}{dt}[/tex]
and simplify:
[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]
so now we can go ahead and substitute the values provided by the problem:
[tex]\frac{dh}{dt} =-2\frac{13in}{12in} (2\frac{in}{min})[/tex]
Which simplifies to:
[tex] \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}[/tex]
c)
Part c was explained as part of part b where we got the expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of the height h and the radius r:
[tex]\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}[/tex]
The rate of change of the height of the pizza with respect to (w.r.t.) time
can be found given that the volume of the pizza is constant.
(a) The rate of increase of the surface area with time is 4·π in.²/min(b) The rate at which the height of the dough is decreasing is [tex]\underline{4.\overline 3 \ in./min}[/tex](c) Rate of change the height of the dough with respect to the radius [tex]\dfrac{dh}{dr}[/tex], is [tex]\underline{-2 \cdot \dfrac{h}{r}}[/tex]Reasons:
The height of the dough when t = k is 13 inches
Radius of the dough = 12 inches
Rate at which the radius of the dough is increasing, [tex]\dfrac{dr}{dt}[/tex] = 2 in.²/min
(a) Required: The rate of increase of the surface area with time
Solution:
The circular surface area, A = π·r²
By chain rule of differentiation, we have;
[tex]\dfrac{dA}{dt} = \mathbf{\dfrac{dA}{dr} \times \dfrac{dr}{dt}}[/tex]
[tex]\dfrac{dA}{dt} = \dfrac{d ( \pi \cdot r^2)}{dr} \times \dfrac{dr}{dt} = 2 \cdot \pi \times 2 = 4 \cdot \pi[/tex]
The rate of increase of the surface area with time, [tex]\mathbf{\dfrac{dA}{dt}}[/tex] = 4·π in.²/min.
(b) Required: The rate of decrease of the height with respect to time
The volume of the pizza is constant, given by; V = π·r² ·h
Therefore;
[tex]h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}[/tex]
[tex]\dfrac{dh}{dt} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} \times \dfrac{dr}{dt} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} \times \dfrac{dr}{dt} = \mathbf{-2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt}}[/tex]
[tex]\dfrac{dh}{dt} = -2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt} = -2 \times \dfrac{13}{12} \times 2 = \dfrac{13}{3} = 4. \overline 3[/tex]
The rate at which the height of the dough is decreasing, [tex]\mathbf{\dfrac{dh}{dt}}[/tex]= [tex]\underline{4.\overline 3 \ in./min}[/tex]
(c) Required:]The expression for the rate of change the height of the dough with respect to the radius of the cone.
Solution:
[tex]\dfrac{dh}{dr} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} = -2 \cdot \dfrac{h}{r}[/tex]
[tex]\dfrac{dh}{dr} = \mathbf{ -2 \cdot \dfrac{h}{r}}[/tex]
The rate of change the height of the dough w.r.t. the radius is [tex]\underline{\dfrac{dh}{dr} = -2 \cdot \dfrac{h}{r}}[/tex]
Learn more here:
https://brainly.com/question/20489729
The number of water bottles used during a teams football practice varies directly with the temperature. If a team uses 75 water bottles when the temperature is 60 degrees, what is the temperature if they use 120 bottles?
Answer: If a team uses 75 water bottles when the temperature is 60 degrees, ( 75 - 15 = 60 )
I guess if they have 120 bottles, you'd have to take away 15 again, which = 105
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Sorry if i'm wrong
Im asking for you're help Citizen I have a question for you Me
Answer:
No idea
Step-by-step explanation:
No idea for that either
Hope this helps, have a good day
Step-by-step explanation:
1. The bag contains fewer than 10 carrots
2.catherin3 biked farther than 10 miles
3.the chair is shorter than 20 in
4.carlos scored over 20 points
second pictures of my last question
Answer:
you really did not give us the full pictuer
Step-by-step explanation:
Sora correctly solved this inequality.
-2. 1w> 12.81
w<-6.1
Which graph matches the inequality?
Answer: The third one
Step-by-step explanation: open circle, with crocodile sign pointing to right which means u have to go left! Have a nice day!!
Answer:
C) a number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded.
Step-by-step explanation:
Open circle means < or >
Closed circle means < or >
So has to be an open circle since the sign is <. it also says w < -6.1
so w has to be less than -6.1. So less than -6.1 would be -6.2, -6.3, -6.4etc.
In July, the average temperature in Florida was 104°F, while the average temperature in California was 5° cooler. What was the average temperature in California?
°
Answer:
99 degrees F
Step-by-step explanation:
subtract 5 from 104
Answer:
average 104 degrees F
Step-by-step explanation:
Beverly made a root beer float using 1/4 cup of vanilla ice cream for every 3/4 cup of root beer. how much ice cream would Beverly need for one cup of root beer?
Answer:
1/3 cup of ice icream
Step-by-step explanation:
This is a proportions question. Since we know that we need 1/4 cup of ice cream for every 3/4 cup of root beer, we need to find how many cups of ice cream we need for 1 cup of root bear.
We need to find out what times 3/4 makes 1. This can be done with:
(3/4)x = 1
x = 4/3
Now multiply that with 1/4 to get the amount of ice cream.
4/3 times 1/4 = 1/3
You go to Mellow Mushroom and your bill is $50.
You decide to leave a 20% tip.
What is your final cost?
What is the length of BC, given that figure ABCD is a rectangle?
PLZ Help
5. Identify the slope and the y-intercept in the follow
equation: *
(5 puntos)
y = 5x + 3
Escriba su respuesta
Answer:
Slope (m) = 5
Y-intercept (b) = 3
Step-by-step explanation:
The equation of a line is y = mx + b, where (m) is the slope and(b) is the y-int.
Knowing this, we see that the slope is 5 and the y-int is 3.
hope this helps!
Is this set of ordered pAirs a function
(0,2) (3,3) (8,7) (2,2) (3,9)
Answer:
No, not a function
Step-by-step explanation:
Functions cannot have two or more same domain and different range. (3,3) and (3,9) have same domain and different range.
c + 1/4c
please help me i need this done now
Answer:
[tex]1\frac{1}{4} c[/tex]
Step-by-step explanation:
[tex]c+\frac{1}{4}c[/tex]
Rewrite the expression
[tex]= 1c+\frac{1}{4} c[/tex]
Add
[tex]= 1\frac{1}{4} c[/tex]
Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].
I hope this helps!