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2 years ago

Find the range of the data set shown in the table below. Data Set C 1.75 0.64 0.82 1.19 1.6 Answer: Submit Answer

Mathematics

1 answer:

weqwewe [10]2 years ago

8 0

Answer: 1.11

Step-by-step explanation:

To find the range of the data set all you have to do is subtract the higher number with the lowest number, so in this math problem, we will take 1.75- 0.64 and we get 1.11 :]

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`find the equatifindon of tangent and normal of parabola y²=16ax at point whose coordinate is -5a.

marusya05 [52]

Answer:

$\rm \displaystyle y _{ \rm tangent} = - \frac{8}{5} x - \frac{5}{2} a$

$\rm \displaystyle y _{ \rm normal} = \frac{5}{8} x - \frac{765}{128} a$

Step-by-step explanation:

we are given a equation of parabola and we want to find the equation of tangent and normal lines of the Parabola

finding the tangent line

equation of a line given by:

$\displaystyle y = mx + b$

where:

m is the slope
b is the y-intercept

to find m take derivative In both sides of the equation of parabola

$\displaystyle \frac{d}{dx} {y}^{2} = \frac{d}{dx} 16ax$

$\displaystyle 2y\frac{dy}{dx}= 16a$

divide both sides by 2y:

$\displaystyle \frac{dy}{dx}= \frac{16a}{2y}$

substitute the given value of y:

$\displaystyle \frac{dy}{dx}= \frac{16a}{2( - 5a)}$

simplify:

$\displaystyle \frac{dy}{dx}= - \frac{8}{5}$

therefore

$\displaystyle m_{ \rm tangent} = - \frac{8}{5}$

now we need to figure out the x coordinate to do so we can use the Parabola equation

$\displaystyle ( - 5a {)}^{2} = 16ax$

simplify:

$\displaystyle x = \frac{25}{16} a$

we'll use point-slope form of linear equation to get the equation and to get so substitute what we got

$\rm \displaystyle y - ( - 5a)= - \frac{8}{5} (x - \frac{25}{16} a)$

simplify which yields:

$\rm \displaystyle y = - \frac{8}{5} x - \frac{5}{2} a$

finding the equation of the normal line

normal line has negative reciprocal slope of tangent line therefore

$\displaystyle m_{ \rm normal} = \frac{5}{8}$

once again we'll use point-slope form of linear equation to get the equation and to get so substitute what we got

$\rm \displaystyle y - ( - 5a)= \frac{5}{8} (x - \frac{25}{16} a)$

simplify which yields:

$\rm \displaystyle y = \frac{5}{8} x - \frac{765}{128} a$

and we're done!

( please note that "a" can't be specified and for any value of "a" the equations fulfill the conditions)

8 0

3 years ago

Read 2 more answers

What does the phrase"between 7.2 and 7.6, inclusive" mean?

nalin [4]

The phrase gives you an interval where the extremes are included.

The intervals may be indicated in several ways.
7.2 ≤ x ≤ 7.6

3 0

3 years ago

Insert <,>,or = to make the following sentence true. square root of 17 and 4

JulijaS [17]

we can insert > to make the following sentence true that is $\sqrt{17}$ > 4

we have to solve the following sentence

$\sqrt{17}$ --- 4 ( insert <,>, = to make the following sentence true)

what is square root ?

The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is $\sqrt{}$ .

we know that

square root of 17 is 4.12310563

which is 4+ 0.12310563

that is if we add 4+0.12310563 we get 4.12310563

therefore square root of 17 is greater than 4

that is $\sqrt{17}$ > 4

since 4.12310563 > 4

hence, we can insert > to make the following sentence true that is $\sqrt{17}$ > 4

learn more about of square root here

brainly.com/question/1387049

#SPJ4

6 0

1 year ago

HELP ME ASAP ROCKY STYLES PLEASE BRO. Find the value of x and the length of each side.

Masteriza [31]

Answer:

x= 14 hope that helps you out good luck

6 0

3 years ago

Please answer the problem below

8_murik_8 [283]

Answer:

d) m<ADC=44°

Step-by-step explanation:

7x-19=9x-37

-19+37=9x-7

18=2x

x=9

m<ADC=9x-37=9(9)-37=81-37=44

8 0

3 years ago

Read 2 more answers