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
oee [108]
3 years ago
14

Find all real zeros of the function. F(x)=-5x(x^2-25)(x-7)

Mathematics
1 answer:
Rudiy273 years ago
8 0

Answer:

x - intercepts: (-5,0), (5,0), (7,0)

I'm not sure if you would count these, but x and y also have the intercept of (0,0).

You might be interested in
Last year, elsa opened an investment account with 8500 . at the end of the year, the amount in the account had increased by 27.6
Dafna11 [192]
8500 + 27.6 = 8527 dollars and 60 cents
4 0
3 years ago
Alan is connecting three garden hoses to make one longer hose.The green hose is 6.25 feel long the orange hose is 5.755 feet lon
nevsk [136]

We will use addition to find the length of the new, longer hose.

6.25 feet + 5.755 feet + 6.5 feet = 18.505 feet is the length of the new longer hose.

8 0
4 years ago
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h
mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed  = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere  =\frac{2}{3}\pi r^3

Volume of a Cylinder =\pi r^2 h

Therefore:

The Volume of the Solid formed

=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Area of the Hemisphere =2\pi r^2

Curved Surface Area of the Cylinder =2\pi rh

Total Surface Area=

2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh

Cost of the Hemispherical Ends  = 2 X  Cost of the surface area of the sides.

Therefore total Cost, C

=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh

Recall: h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Therefore:

C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}

The minimum cost occurs at the point where the derivative equals zero.

C^{'}=\frac{-27840+32\pi r^3}{3r^2}

When \:C^{'}=0

-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518

Recall:

h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0
3 years ago
A circle of yellow tulips is planted in Cedarburg's central park. Pam measured the circle and calculated that is has a circumfer
lozanna [386]

Answer:

The circle's diameter is 4\ yd

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=\pi D

where

D is the diameter of the circle

In this problem we have

C=12.56\ yd

\pi=3.14

substitute the values and solve for D

12.56=(3.14)D

D=12.56/(3.14)=4\ yd

6 0
3 years ago
HELP i need help quickly please
guajiro [1.7K]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Whats the surface area of a cylinder with a base of 12in and hieght of 40in
    9·1 answer
  • For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le
    8·1 answer
  • Um what is the answer to this picture right here .
    15·1 answer
  • I NEED HELP ASAP!!!!
    8·1 answer
  • Beach Cruises prints brochures and fliers to advertise their dolphin watching tours. To print, the brochure requires three pages
    8·1 answer
  • Can someone help me with this?
    14·1 answer
  • The ratio of boys to girls in Mr. Yang's class is 4:3. If there are 16 boys in the class, how many girls are there? O A. 8 girls
    9·2 answers
  • What is the percent of 15 books to 21 books
    6·1 answer
  • Help me, please. This is past due. It's not that hard.
    8·1 answer
  • Find the exact solutions of x2 − 3x − 5 = 0 using the quadratic formula. Show all work! 75 points please help!!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!