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Fudgin [204]
3 years ago
7

Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

The value of a in terms of b is given as a = 8b^3

Given the equation solved by Leo expressed as b=\frac{1}{2}\sqrt[3]{a-1}

We are to solve the equation for the variable "a"

Given;

b=\frac{1}{2}\sqrt[3]{a-1}

Cross multiply

2b=\sqrt[3]{a-1}

Cube both sides of the equation:

(2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1

Add 1 to both sides of the equation:

8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3

Hence the value of a in terms of b is given as a = 8b^3

Learn more on subject of formula here: brainly.com/question/657646

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The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t
klio [65]
<h3>The projected amount the average American spent on health care in 2014  is $ 10075.91</h3>

<em><u>Solution:</u></em>

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

r = 5.8 \% = \frac{5.8}{100} = 0.058

t = 2011 to 2014 = 3 years

<em><u>Substituting the values, we get,</u></em>

y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91

Thus the projected amount the average American spent on health care in 2014  is $ 10075.91

4 0
4 years ago
(50 points)<br><br><br><br> NEED ANSWER ASAPPPP:)
Ann [662]
The first step is to simplify the absolute value. 0.8 - 3/5 is equal to 0.8 - 0.6 which is 0.2. Now we do order of operations. Since the absolute value of 0.2 is 0.2, we can now do PEMDAS and solve. First is multiplication. 0.2 * 10 is 2. Now we have to do 5 - 3 which gives us our answer of 3, or C.
3 0
3 years ago
Read 2 more answers
Can I have some help?
lisabon 2012 [21]

Answer:

x =  \sqrt{58}

Step-by-step explanation:

first, you should draw a line to separate the triangle from the rectangle

You can get the height if the triangle by saying 16-9

This will give you 7

The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal

Now that we have the measurements of the triangle we can use the Pythagorean theorem

{c}^{2}  =  {a}^{2}  +   {b}^{2}

{x}^{2}  =  {7}^{2}  +  {3}^{2}

{x}^{2}  = 49+ 9

{x}^{2}  = 58

x =  \sqrt{58}

3 0
3 years ago
1% of what number is 4?
Travka [436]

Answer:

400.

Step-by-step explanation:

4 x 100 = 400

4 0
3 years ago
I need help. Give an explanation, please!
AURORKA [14]

Answer:

y=35+x+15x/100. since x is the money earn so 15percent of x

3 0
3 years ago
Read 2 more answers
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