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3 years ago

Name 5 that are near, but not equivalent to, 4/12

1 answer:

7 0

4/12ths is 1/3 when simplified. 1/3 in decimal form is .33

1/5; 1/5 is .2

¼; ¼ is .25

5/25: 5/25 is .2

6/24; 6/24 is .25

all of these fractions are near .33 but aren't equivalent to it.

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What is the surface area of a sphere with a diameter of 16 cm?

Vilka [71]

Answer:

804.25 cm² (corrected to 2 decimal places)

Step-by-step explanation:

Radius = diameter / 2

= 16/ 2

=8 cm

Surface area of sphere = 4πr²

= 4π8²

=804.25 cm² (corrected to 2 decimal places)

6 0

3 years ago

Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: $P(t)=P_i(1+r)^t$

where $P(t)$ is the population at time "t",

$P_i$ is the initial (starting) population

$(1+r)$ is the common ratio,

and $r$ is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:

$P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\$

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

$1+r=1.155273\\r=1.155273-1=0.155273$

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0

3 years ago

The utility industry had 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year f

e-lub [12.9K]

Answer:

Utility's percent Change from 2010 to 2020 = 7%

Step-by-step explanation:

Jobs available at the utility industry in 2010= 428.5 thousand

Average rate of decline = 3 thousand

Years between 2010 and 2020

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

Total change in jobs:

There are 10 years between 2010 and 2020

Jobs decline at an average of 3 thousand per year

Total change in jobs= 10 years × 3 thousand

= 30 thousand

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

= 30 thousand / 428.5 thousand × 100

= 0.07 × 100

= 7%

Utility's percent Change from 2010 to 2020 = 7%

4 0

4 years ago

3. What is the slope of the line passing through (15,-5) and (3, -8)?

Andrej [43]

M= -8 - -5/ 3 - 15= -8+5/3-15= -3/-12 = 3/12 = 1/4

The slope is 1/4.
The slope formula is m=y2-y1/x2-x1. I plugged in -8=y2, -5=y1, 3=x2, and 15=x1. Then I solved it.

6 0

3 years ago

Read 2 more answers

A set has 62 proper subsets how many elements has it for?<br>

MrRissso [65]

Answer:

Step-by-step explanation:

Total number of subsets is given as

${2}^{n}$