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
hjlf
3 years ago
10

Which inequality is true?

Mathematics
1 answer:
Bond [772]3 years ago
6 0

Answer:

A) |−6| > −6

Step-by-step explanation:

Absolute value means take the non negative number

A) |−6| > −6 = 6> -6 true  

B) |12| < |−5| 12 < 5 false

C) |−8| < 8 8 < 8 false

D) 7 > |−10|  7 > 10 false

You might be interested in
I need help with number 5 please
JulsSmile [24]
C(t) = $2t + $8

This tells us that the basic cost of the pizza is $8, with no toppings, and that each topping costs an additional $2.

To graph this, plot a dot at (0,$8).  Now move y our pencil point 1 unit to the right and then 2 units up.  Plot a dot at this new location.  Now draw a straight line connection (0, $8) and this new location (which is   (1, $10)  ).

5 0
3 years ago
Write two numbers that multiply to the value on top and add to the value on bottom.
vova2212 [387]
Answer: -8 and 9
Explanation: -8 x 9 = -72 and -8 + 9 = 1
7 0
3 years ago
Help me out please!!
AleksAgata [21]

Step-by-step explanation:

1. (fg)' = f'g + fg' (chain rule)

2 f(x) = x^5\sin{x}

\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}

5 0
2 years ago
The table shows the location of four cites relative to sea level. Find the city that is closest to sea level.
STatiana [176]
The answer is C.
Because it is closest location relative to the sea!
4 0
3 years ago
Read 2 more answers
Diagram 5 shows a right cylinder with a diameter of 2xcm. Given that the total surface area of the cylinder is 96cm³.Find the ma
Paraphin [41]

Given:

The diameter of the right cylinder is 2x cm.

The total surface area is 96 cm cube.

The radius is calculated as,

\begin{gathered} r=\frac{d}{2} \\ r=\frac{2x}{2} \\ r=x\text{ cm} \end{gathered}

The total surface area is,

\begin{gathered} S=2\pi rh+2\pi(r)^2 \\ 96=2\pi xh+2\pi(x^2) \\ h=\frac{96-2\pi(x^2)}{2\pi x} \end{gathered}

Volume is,

\begin{gathered} V=\pi(r)^2h \\ =\pi(x^2)\frac{96-2\pi(x^2)}{2\pi x} \\ =\frac{x(96-2\pi(x^2)}{2} \end{gathered}

Now, differentiate with respect to x,

\begin{gathered} \frac{dV}{dx}^{}=\frac{d}{dx}(\frac{x(96-2\pi(x^2)}{2}) \\ =\frac{d}{dx}\mleft(x\mleft(-\pi x^2+48\mright)\mright) \\ =\frac{d}{dx}\mleft(x\mright)\mleft(-\pi x^2+48\mright)+\frac{d}{dx}\mleft(-\pi x^2+48\mright)x \\ =1\cdot\mleft(-\pi x^2+48\mright)+\mleft(-2\pi x\mright)x \\ =84-3\pi(x^2)\ldots\ldots\ldots\ldots\text{.}(1) \end{gathered}

Now,

\begin{gathered} \frac{dV}{dx}=0 \\ 84-3\pi(x^2)=0 \\ x^2=\frac{16}{\pi} \\ x=\sqrt[]{\frac{16}{\pi}} \end{gathered}

Now, differentiate (1) with respect to x again,

\begin{gathered} \frac{d^2V}{dx^2}=\frac{d}{dx}(84-3\pi(x^2)) \\ =-6\pi x \\ At\text{ x=}\sqrt[]{\frac{16}{\pi}} \\ \frac{d^2V}{dx^2}=-6\pi\sqrt[]{\frac{16}{\pi}}

Since, the double derivative is negative.

So,\text{ the volume is maximum at }\sqrt[]{\frac{16}{\pi}}

So, the volume becomes,

\begin{gathered} V=\pi(x^2)h \\ V=\pi(\sqrt[]{\frac{16}{\pi}})^2h \\ V=\frac{16h}{\pi} \end{gathered}

Answer: maximum volume of the cylinder is,

6 0
1 year ago
Other questions:
  • Barbara Bailey joined a bowling league. She paid a $18.00 entry fee plus $7.50 a week for 16 weeks. She purchased a bowling ball
    15·2 answers
  • He difference of two numbers is 50. twice one number equals three times the other. find the numbers.
    15·1 answer
  • Overnight, the temperature dropped 1.3 degrees every hour. How many hours did it take the temperature to drop 7.8 degrees?
    5·1 answer
  • Caleb bought groceries and paid $1.60 in sales tax. The sales tax rate is 2.5%.
    5·2 answers
  • 40% of Michelles monthly earnings goes to her rent payment .If Michelle is paid 3200 every month, how much does she pay in rent?
    10·1 answer
  • Help Please!! Struggling with this for a while
    12·1 answer
  • What is the value of x? If necessary leave your answer in the simplest radical form.
    11·1 answer
  • The difference of twice a number and 2 is at most 22
    6·1 answer
  • If you add 15 calls and multiple them by the total of 67 keeps and there is only one 1 Jeep subtract that by 56 and add 100 divi
    9·2 answers
  • Two new skyscrapers, North and South, are being built. The height. N, in feet of the xth floor above the ground floor for thr No
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!