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3 years ago

A can of vegetables has radius 2.1 in. and height 5.1 in. Find

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer:

70.622 in³

Step-by-step explanation:

Volume of cylinder = $\pi r^2h$

= (3.14)(2.1^2)(5.1)

= 70.622 in³

You might be interested in

Select all expressions that are equivalent to 64. 2 to the sixth power 2 to the eighth power 4 to the third power 8 squared 16 t

andreyandreev [35.5K]

Answer:

2 to the sixth, 4 to the third, 8 squared

Step-by-step explanation: 2*2*2*2*2*2=64 because you would have 2, 4,8,16,32,64

4*4*4=64 because you would have 4,16,64

8*8=64

3 0

3 years ago

Does it matter what order you add the numbers in a problem? explain how chips and numbers lines support your answer.

Mrac [35]

Answer: No, it does not matter.

Step-by-step explanation:

In addition the order does not matter, this is because of the commutative property of the addition, that says that: A + B = B + A

and the associative property, that says that:

A + (B + C) = (A + B) + C

for example, if you have 4 chips and your friend gives you her 5 chips, now you have a total of 4 + 5 = 9 chips.

The case is the same if you have 5 chips and your friend gives you 4 chips, now you have 5 + 4 = 9 chips.

Other example is that:

5 chips + ( 2chips + 1 chip) = 5 chips + 3 chips = 8 chips

(5 chips + 2 chips) + 1 chip = 7 chips + 1 chip = 8 chips

You can see that the order does not matter.

4 0

3 years ago

[HELP PLEASE ALGEBRA] <br><br> Would the answer only be B?

Salsk061 [2.6K]

Hello,

|x+4|=3x-5
if x+4>=0 then
          |x+4|=x+4
          x+4=3x-5
          2x=9
            x=9/2
else
    x+4<0 : x<-4
    |x+4|=-(x+4)
     -(x+4)=3x-5
    -x-4=3x-5
    4x=1
    x=1/4 : to exclude since x<-4
end if

Only one solution : x=9/2
ANSWER B.

7 0

3 years ago

Use the parabola tool to graph the quadratic function f(x)=x2−12x+27. Graph the parabola by first plotting its vertex and then p

alina1380 [7]

Answer:

vertex is (6 , -9)

points are (9,0) and (3,0)

Step-by-step explanation:

Given quadratic function $f(x)=x^2-12x+27$

We have to plot the given quadratic function.

Consider the Given quadratic function $f(x)=x^2-12x+27$

The general form of quadratic function is given $f(x)=a(x-h)^2+k$

Where, (h, k) is vertex , given $h =\frac{-b}{2a}$ and $k = f(h)$

Thus, for given quadratic function $f(x)=x^2-12x+27$

a = 1 , b= -12 , c = 27

Thus,

$h =\frac{-b}{2a}=\frac{12}{2}=6$

$k = f(h)$ that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9

Thus, given quadratic function $f(x)=x^2-12x+27$ in standard form is $f(x)=(x-6)^2-9$

Thus, vertex is (6 , -9)

For second point put $f(x)=0$ , we get,

$f(x)=(x-6)^2-9=0$

$\Rightarrow (x-6)^2-9=0$

$\Rightarrow (x-6)^2=9$

$\Rightarrow (x-6)=\pm 3$

$\Rightarrow x= 6\pm 3$

Thus, $\Rightarrow x=6+3=9$ and $\Rightarrow x=6-3=3$

thus, points are (9,0) and (3,0)

Graph is attached below.

5 0

3 years ago

Please can someone show me how to work this out step by step without a calculator

Artyom0805 [142]

$2\sqrt8\times8\sqrt2=(2\times8)\sqrt{8\times2}=16\sqrt{16}=16\times4=64$

Alternatively, you can write radicals as rational exponents, so that you get

$2\sqrt8\times8\sqrt2=2\tiems8^{1/2}\times8\times2^{1/2}=2^{3/2}8^{3/2}$

Then recalling that $2^3=8$ , you have

$2^{3/2}8^{3/2}=2^{3/2}(2^3)^{3/2}=2^{3/2}2^{9/2}=2^{12/2}=2^6=64$

5 0

4 years ago