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4 years ago

What is the volume of the sphere shown below? R=12

Mathematics

1 answer:

nataly862011 [7]4 years ago

7 0

The volume of a sphere is 4/3(pi)(r)^3.
4/3(pi)(12)^3 = 2304 x pi = about 7238.229

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The product of two positive consecutive odd integers is 2703. What are the positive numbers?

liberstina [14]

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

$x^2+2x-2703=0$

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

7 0

3 years ago

What is the value of a in the equation a=3a + 12?

likoan [24]

a = 3a + 12
- 3a - 3a
-2a = 12
-2 -2
a = -6

3 0

3 years ago

The table shows a proportional relationship between the number of pounds of bananas purchased and the total cost of bananas.

Liula [17]

Answer:

Choice A, C and E

Step-by-step explanation:

Your table is poorly presented

Given

x y

$\begin{array}{cc} {3} & {1.47} \ \\ {5} & {2.45} \ \\ {9} & {4.41} \ \ \end{array}$

First, we calculate the constant of proportionality (k)

$k = \frac{y}{x}$

For (3,1.47)

$k = \frac{1.47}{3}$

$k = 0.49$

For (5,2.45)

$k = \frac{2.45}{5}$

$k = 0.49$

For (9,4.41)

$k = \frac{4.41}{9}$

$k = 0.49$

From the above calculations, the constant of proportionality is 0.49.

So, the usable rows must also have 0.49 as their constant of proportionality

Choice A

$(x,y) = (2,0.98)$

$k = \frac{0.98}{2}$

$k = 0.49$ --- This is usable

Choice B

$(x,y) = (7,4.45)$

$k = \frac{4.45}{7}$

$k = 0.64$ --- This is not usable

Choice C

$(x,y) = (6,2.94)$

$k = \frac{2.94}{6}$

$k = 0.49$ --- This is usable

Choice D

$(x,y) = (1,0.54)$

$k = \frac{0.54}{1}$

$k = 0.54$ ---- This is not usable

Choice E

$(x,y) = (8,3.92)$

$k = \frac{3.92}{8}$

$k = 0.49$ --- This is usable

5 0

3 years ago

Which graph represents 4x + 7y < -21

allsm [11]

Answer:

Step-by-step explanation:

Since the sign is not $\leq$ , and it is <, then you'd choose the option with the dotted line showing it isn't inclusive.

3 0

3 years ago

I need help with both if you don’t mind

Anvisha [2.4K]

The first one is A and the second one is A

6 0

3 years ago