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3 years ago

Please help. I need a step by step explanation. Extra points will be given as well as brainiest!!!

Mathematics

1 answer:

Shalnov [3]3 years ago

3 0

Answer:

V =113.04

Step-by-step explanation:

A sphere has a surface area of 113.04

SA = 4 pi r^2

113.04 = 4 pi r^2

Let pi 3.14

113.04 = 4 *(3.14) r^2

113.04 = 12.56 r^2

Divide each side by 12.56

113.04/12.56 = r^2

9 = r^2

Take the square root of each side

3 =r

We want to find the volume

V = 4/3 pi r^3

V = 4/3 (3.14) 3^3

V =113.04

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When comparing answers on a group assignment, Jenny and Jeremy found that their answers did not match. Part 1: Who do you believ

vitfil [10]

PART 1:

Jeremy gives the correct answer.

The value of 0.41 [with a bar over the digit 4 and 1] shows that the digit 4 and 1 are reoccurring = 0.414141414141414141....

Jenny's assumption of 41/100 will give a decimal equivalency of 0.41 [without a bar over digit 4 and 1]. This value is not a reoccurring decimal value.

PART 2:

The long division method is shown in the picture below

PART 3:

As mentioned in PART 1, the result of converting 41/100 into a decimal is 0.41 [non-reoccuring decimal] while converting 41/99 into a decimal is 0.41414141... [re-occuring decimal]. The conjecture in PART 1 is correct

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3 years ago

Find the slope-intercept form of the equation of the line through the point (0, -4) and (1, 0).

Arisa [49]

Answer:

The Slope Intercept form of the equation through the point (0, -4) and

(1, 0) is y = 4 x - 1

Step-by-step explanation:

Here, the given points are A (0,-4) and B(1,0)

Now, slope of the equation with points (a,b) and (c,d) is given as

$m = \frac{d - b}{c -a}$

So, here the slope of the line AB is given as:

$m = \frac{0 - (-4)}{1-0} = \frac{4}{1} = 4$

⇒ m = 4

Now, by POINT SLOPE form:

The equation with slope m and point (x0 , y0) is represented as :

(y-y0) = m (x-x0)

⇒ The equation of AB is of the form with point (1,0) is

y - 0 = 4 (x -1)

or, y = 4 x - 1

Also, the SLOPE INTERCEPT form of an equation is of the form

y = m x + C ; m = slope and C = y -intercept

Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0) is y = 4 x - 1

4 0

3 years ago

Find the length of CV¯¯¯¯¯¯¯¯ A. 43.92 B. 33.1 C. 68.87 D. 41.45

Anni [7]

Answer: B. 33.1

Step-by-step explanation:

Use sin to solve (opposite/hypotenuse)

let x= length of CV

sin(37)=x/55

x=55sin(37)

x≈33.1

8 0

3 years ago

Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes

Vsevolod [243]

Answer:

CDs — $10,000
bonds — $80,000
stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

0.0275c +.045b +0.104s = 8555 . . . . . total income earned

-c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

.0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

.0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

s = 65000 -2c . . . . . . . expression we can substitute for s

0.0725c +0.104(65000 -2c) = 5405

-0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

c = 1355/.1355 = 10,000

s = 65000 -2×10000 = 45,000

b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

$\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]$

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3 years ago

What is the graph description for y=-10x

Serga [27]

Y = - 10x has a negative slope, m = -10, and a y-intercept of (0, 0).

The graph includes the following points:

{(-2, 20), (-1, 10), (0, 0), (1, -10), (2, -20)}.

Attached is a screenshot of the graph, where it includes the y-intercept crossing along the point of origin, (0, 0).

Please mark my answers as the Brainliest, if you find this helpful :)

8 0

2 years ago