1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetach [21]
3 years ago
7

What is the vertex of the graph of the function f(x)=x^2+8x-2

Mathematics
2 answers:
Contact [7]3 years ago
7 0

-8,-2

Step-by-step explanation:

Sveta_85 [38]3 years ago
5 0

Answer:

(-8,-2)

Step-by-step explanation:

You might be interested in
How many millimeters are in 100 cm
jeka94
1000 millimeters = 100 centimeters 
8 0
3 years ago
Read 2 more answers
Write 3.005 using words<br><br> first person is the brainliest
allochka39001 [22]

Answer:

three and five hundreths

5 0
3 years ago
Read 2 more answers
HELP ASAP PLZ IM TIMED
nasty-shy [4]

Answer:

70

Step-by-step explanation:

4 0
2 years ago
What is the solution to the inequality?
iVinArrow [24]

Answer:

B. x > 4

Step-by-step explanation:

12 < 8 + x

12-8 < 8-8 +x

12-8 < x

4 <x

x > 4

7 0
2 years ago
an inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a
viktelen [127]

Answer:

the rate of change of the water depth when the water depth is 10 ft is;  \mathbf{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

Step-by-step explanation:

Given that:

the inverted conical water tank with a height of 20 ft and a radius of 8 ft  is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.

We are meant to find the  rate of change of the water depth when the water depth is 10 ft.

The diagrammatic expression below clearly interprets the question.

From the image below, assuming h = the depth of the tank at  a time t and r = radius of the cone shaped at a time t

Then the similar triangles  ΔOCD and ΔOAB is as follows:

\dfrac{h}{r}= \dfrac{20}{8}    ( similar triangle property)

\dfrac{h}{r}= \dfrac{5}{2}

\dfrac{h}{r}= 2.5

h = 2.5r

r = \dfrac{h}{2.5}

The volume of the water in the tank is represented by the equation:

V = \dfrac{1}{3} \pi r^2 h

V = \dfrac{1}{3} \pi (\dfrac{h^2}{6.25}) h

V = \dfrac{1}{18.75} \pi \ h^3

The rate of change of the water depth  is :

\dfrac{dv}{dt}= \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

Since the water is drained  through a hole in the vertex (bottom) at a rate of 4 ft^3/sec

Then,

\dfrac{dv}{dt}= - 4  \ ft^3/sec

Therefore,

-4 = \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

the rate of change of the water at depth h = 10 ft is:

-4 = \dfrac{ 100 \ \pi }{6.25}\  \dfrac{dh}{dt}

100 \pi \dfrac{dh}{dt}  = -4 \times 6.25

100  \pi \dfrac{dh}{dt}  = -25

\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi}

Thus, the rate of change of the water depth when the water depth is 10 ft is;  \mathtt{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

4 0
3 years ago
Other questions:
  • How many feet is in a inch?
    6·2 answers
  • How do you write the sum of 7 times a number is equal to 9
    5·1 answer
  • Find the value of angle "A" and angle "B".​
    13·2 answers
  • I need help plssss ??! Anybody ?
    8·1 answer
  • this year,15 of the 40 computers in the math lab are not new. which representation is equivalent to the fraction of computers th
    6·1 answer
  • Lynn has 4 more books than Jose. If Lynn gives Jose 6 of her books, how many more will Jose have than Lynn?
    7·1 answer
  • Elizabeth wants to use a standard number cube to do a simulation for a scenario that
    10·1 answer
  • Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.
    11·1 answer
  • I Need help ASAP if you get right ill name you BRAINLEST
    12·2 answers
  • What is the solution of x+8=13
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!