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3 years ago

Find the volume of this sphere. Round to the nearest tenth. 16 ft [ ? ] ft3

Mathematics

1 answer:

erastovalidia [21]3 years ago

3 0

Answer:

Solution,

Diameter (d)=16 ft

Radius(r)=8 ft

Volume of sphere

 $= \frac{4}{3} \pi \: {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {8}^{3} \\ = \frac{4}{3} \times 3.14 \times 512 \\ = 2144.7 \: {ft}^{3}$ 

hope this helps..

Good luck on your assignment..

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Give the order of the matrix, and identify the given element of the matrix.

tigry1 [53]

Answer:

option D

2x4; -11

Step-by-step explanation:

Order of matrix is in form (m x n), here m is the row and n is the column of the matrix.

So this matrix have 2 rows and 4 columns

1)Order of matrix

2x4

2) $a_{12}$

here 1 is the row and 2 is the column

-11

Each elements of the matrix can be identity as below

$\left[\begin{array}{cccc}x_{11} &x_{12} &x_{13} &x_{14} \\x_{21} &x_{22} &x_{23} &x_{24} \\\end{array}\right]$

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4 years ago

What is the value of x in the equation 3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

Sedaia [141]

Answer:

-37/68

Step-by-step explanation:

3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4

(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4

10x+4=3/2x-5/8

37/8=-17/2x

37/8 (2)=-17/2x(2)

37/4=-17x

37/68=-x

-37/68=x

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3 years ago

Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a star

n200080 [17]

Answer:

x=25/16

Step-by-step explanation:

Approximate Roots of Functions:

We are required to find the root of

$\displaystyle 5^{-x}+7=\ 2x+4$

Let's construct a function

$\displaystyle f(x)=\ 5^{-x}+7-2x-4$

Reducing:

$\displaystyle f(x)= 5^{-x}-2x+3$

The equation will have a solution when f(x)=0. We'll start from the approximate crossing point given in the graph (x=1.5)

$\displaystyle f(1.5)=5^{-1.5}-2(1.5)+3\ =0.089$

We'll move up on x=1.52

$\displaystyle f(1.52)=5^{-1.52}-2(1.52)+3=\ 0.046$

We are closer to the solution, let's try some more up

$\displaystyle f(1.54)=5^{-1.54}-2(1.54)+3=\ 0.0038$

This value x=1.54 is close enough to the solution of the original equation

From the options given, $\frac{25}{16}$ is the closest to our solution

$\boxed{Answer:\ x=25/16}$

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4 years ago

If there’s 30 candies in 1.5 ounce bag how many candies are in a 4.2 ounce bag

mezya [45]

Answer:

84 candies in a 4.2 ounce bag

Step-by-step explanation:

30/1.5 = 20 candies per ounce

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