Answer:
[tex]\frac{3}{25\pi}[/tex] meters per minute
Step-by-step explanation:
Given:
[tex]V=\pi r^2h[/tex]
[tex]r=5[/tex]
[tex]\frac{dV}{dt}=3[/tex]
[tex]\frac{dh}{dt}=?[/tex]
Substitute r=5:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi(5)^2h[/tex]
[tex]V=25\pi h[/tex]
Differentiate both sides:
[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]
[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]
Solve for dh/dt:
[tex]3=25\pi\frac{dh}{dt}[/tex]
[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]
Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.
Graph x≥2.
If you’re confused about the question pls don’t answer it just ask about it in the comment section
Answer:
The first graph is correct.
Step-by-step explanation:
Note that the equation states x ≥ 2. It includes the "equals" sign, so the graph line should include 2. This is indicated by the solid line, as opposed to the 4th graph, which shows it as a dashed line. The dashed line is correct for x>2, but not for x ≥ 2.
Robby took his dog to the pet grooming store. The service costs $30. He tips the groomer 25%.
How much in total does the groomer get?
CAN SOMEONE SHOW ME HOW TO DO THE WORK?
Answer: $37.50
Step-by-step explanation:
You multiply the $30 by the percentage tip so 25% in this case, first make it a decimal that would be 0.25. 30*.25=7.50 then you add the 7.50 to the 30 which is gives you the $37.50
Answer:
$37.50
Step-by-step explanation:
25% of 30 is 7.50 $7.50+$30=$37.50
For f(x) = x + 7, find f(x) when x = 3 and when x = -5.
Answer:
When x = 3
f(3) = 3 + 7 = 10
When x = -5
f(-5) = -5 + 7 = 2
please mark me the brainliest
What is -7w-4-5w+13 simplified?
You have at most $10 to spend on notebooks and markers. Markers cost $1 each, and
notebooks cost $1.25 each. You want to buy at least 5 items. Write an inequality that
represents this situation. Identify and interpret two solutions.
admission to the state fair costs $5 and each ride costs $0.75 if john and his three sons went to the fair and john spent a total of $56 how many rides did each person ride?
Answer:
t
Step-by-step explanation:
Examine the function f(x)=log2x.
Which point is the intersection of f(x) and the line y=1?
(1,2)
(12,1)
(2,1)
(1,1)
Answer:
Is the question worded properly?
I find the intersection of the two lines to be (5,1), which is not an answer option.
Step-by-step explanation:
We want the value of x that will produce a value of 1, which will be the point the curve crosses y = 1.
log (10) = 1
Therefore 2x = 1, and x = 5
(5,1)
A newspaper carrier can deliver 180 newspapers in three hours. How long would it take the newspaper carrier to deliver 120 newspapers?
Answer:
I think it's 2 hours.
Hope that helps you. x
Step-by-step explanation:
180 newspapers can be delivered in 3 hours,
60 minutes are in 1 hour.
180 divided by 3 = 60
60 x 2 = 120.
So 120 newspapers can be delivered in 2 hours.
David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted
income, Ai? (show equation).
HELPP PLEASEEE
Answer:
75081
Step-by-step explanation: multiply 80950 by 0.9275
what is (2i)^2? and is it a real or imaginary number?
Answer:
4i
Step-by-step explanation:
Distribute the 2, you get 4i.
It's imaginary because it has an i with it
Answer:
-4, real
Step-by-step explanation:
Hi there!
‘i’ is characterized as the sqrt of -1 or, alternatively, i^2= -1
If the problem is asking us to square i, then we know that it is going to equal -1. If we distribute the exponent, we would also square the 2, making it become 4. Now that we have done that, we multiply -1 and 4 to get a final answer of -4. This would be a real number as it is not imaginary.
I hope this can help!
✺༒Question༒✺
Refer to attachment
Nonsence answer will get report
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
(i) 64(ii) 729(iii) 121(iv) 625Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
REFER TO ATTACHMENT
I HOPE IT IS HELPFULEach unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.
The distance is about
miles.
The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)
The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.
We know the location of the stadium, [tex]S=(-6,6)[/tex]
The point of intersection can be obtained by solving the simultaneous equations
[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]
since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]
[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]
Substitute this value of [tex]x[/tex], into the equation for Pine avenue
[tex]y-2x-12\\=2(6)-12\\=0[/tex]
The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]
To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,
[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]
The distance is [tex]13.4miles[/tex]
Learn more about coordinate geometry here: https://brainly.com/question/15318780
15.21 x 0.72 can somebody help its an assignment
Answer:
10.9512
Step-by-step explanation:
Answer:
10.9512 (not sure if u have to round it)
Step-by-step explanation:
Please help!
A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 4 seconds, the rock is traveling 128 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answer:
Part A:
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
Part B:
s = 32t
s = 32 * 5 = 160 feet per second
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Height of the cliff = 500 feet
Speed after one second = 32 feet per second
Speed after four seconds = 128 feet per second
2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
3. Use the equation to determine the speed of the rock 5 seconds after is dropped.
s = 32t
s = 32 * 5 = 160 feet per second
f the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315
$
315
for rental car expenses. One rental car company charges $55
$
55
per day and $35
$
35
in taxes and fees. They also estimate that they will spend $15
$
15
per day on gas. Gabriela wrote the equation (55d+35)+15d=315
(
55
d
+
35
)
+
15
d
=
315
to determine the number of days the family can rent a car from this company.
How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?
Answer:
4 days
Step-by-step explanation:
55d+35+15d=315
70d=315-35
70d=280
d=280/70
d=4
What is the slope of the line through (2, -1) and (-2, -3)?
[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]
Answer:
Step-by-step explanation:
Using slope formula:
(y2-y1)/(x2-x1)
(-3 + 1) / (-2-2)
-2/-4
slope: 1/2
What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given
Answer:
18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)Step-by-step explanation:
Given - This is the start of the proof. Use this for the information given from the start.
Addition property of equality - Use this when adding terms on both sides of an equation.
Division property of equality - Use this when dividing terms on both sides of an equation.
What would be the equation of the midline of this graph?
Answer:
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
Haley is the head nurse at a hospital and must order supplies. If 1 4 of a package of bandages lasts 1 8 of the month, how many packages of bandages are needed for the entire month?
Answer:
2 Packages
Step-by-step explanation:
To last the whole month, we would need to multiply 1/4 by 8.
1 *8 = 8
4 * 1 = 4
8/4 = 2
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hello there! you did not put any question so i would not be able to answer your question :(
im so confused please help me quickly
Answer:
a
Step-by-step explanation:
5(2+(-9))+-25
HELP
PLZZ
Answer:
-115
Step-by-step explanation:
Using BODMAS
+(-9) = -9
2(-9) = -18
5(-18) = -90
(-90) + (-25) = -90 - 25 = -115
The table shows the prices for fruit items at a local farmer’s market. Katelyn purchased four pounds of apples, six navel oranges, two mangoes, and three watermelons. The farmer’s market charged a convenience fee of $3 per order. Katelyn paid with a $50 bill.
Fruit Price List
Item Price
Crispy Apples $1.79 (per pound)
Navel Oranges 4 for $5.00
Mango $1.50 each
Watermelon $5.99 each
How much change should Katelyn receive from the $50 bill?
F.$11.37
The change Katelyn should receive from the $50 bill is $11.37.
The first step is to determine the total cost of the purchase.
Total cost of the 4 pounds of apples = $1.79 x 4 = $7.16
Total cost of six navel oranges = ($5 / 4) x 6 = $7.50
Total cost of two mangoes = $1.50 x 2 = $3
Total cost of three watermelons = $5.99 x 3 = $17.97
Total cost of the fruits = $35.63
Total cost of the order = $35.63 + $3 = $38.63
Change = $50 - $38.63 = $11.37
To learn more about total cost, please check: https://brainly.com/question/25717996
A piecewise function is represented by the graph below.
On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?
x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1
A piecewise function is used that combines several functions at different intervals.
The domain of the function represented by f(x) = x + 1 is x > 1
The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)
The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1
So, the domain of f(x) = x + 1 is x > 1
Read more about piecewise functions at:
https://brainly.com/question/17966003
Answer:
D
Step-by-step explanation:
Correct on Edge
Select all values equal to the fraction below:
Why is it helpful to use the rational zero theorem in finding the zeros of polynomial function? Explain your answer.
Answer:
The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.
Hope that helps.
Answer:
Finding the Zeros of Polynomial Functions The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function. Given a polynomial functionuse synthetic division to find its zeros.
Step-by-step explanation:
i hope it helpful:)
3. If the diameter of “Frosty the Snowman’s” hat is ten inches, what’s the radius?
State what information is required to know that the triangles are congruent.
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The additional information needed to prove that the triangles are congruent is ~ A
[tex] \sf\angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]
Six grapefruit cost as much as a dozen oranges. The cost of a dozen grapefruit and two dozen oranges
is $12. If Susan purchased one orange and one grapefruit, how much did she spend? Show your
thinking.
a.Write System of equations for the above problem.
b. Solve the system of equations
c.Explain the meaning of the solution in the context of the problem.
Answer:
$0.73
Step-by-step explanation:
Let's say an orange costs O dollars and a grapefuit costs G dollars.
We add G dollars for each grapefuit and O dollars for each orange, so, for example, 12 grapefuit = G added 12 times = 12 *G = 12G
a.
6G = 10O
12G + 24O = 12
6 grapefuit = 6G = 10 oranges = 10O
b.
6G = 10O
12G + 24O = 12
We can solve this using substitution. First, we can solve the first equation for G. After that, we can plug that into the second to find O and go from there.
6G = 10O
divide both sides by 6 to remove the coefficient for G
G = (10/6)O
plug that into the second equation
12*(10/6)O + 24O = 12
20O + 24O = 12
44O = 12
divide both sides by 44 to solve for O
O=12/44 = 6/22
6G = 10O
6G = 60/22
divide both sides by 6 to solve for G
10/22 = G
c.
These solutions mean that an orange (O) costs 6/22 dollars and a grapefuit (G) costs 10/22, so 1O + 1G = 16/22 dollars ≈ $0.73. Note that O and G are kept as fractions because they are not exact dollar amounts, e.g. 0.27 repreating
in the equation 3/4y+1/2=31/4 the fractional cofficient
Answer:
The coefficient is 32.
Step-by-step explanation:
I hope I have helped you if not tell me.