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4 years ago

Help, thank you!

Mathematics

1 answer:

kaheart [24]4 years ago

8 0

Answer:

√357

Step-by-step explanation:

multiply all three numbers together and since 357 cannot be simplified it stays as a radical

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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustra

Rainbow [258]

Answer:

$x = t$

$y = 1 - t$

$z = 2t$

Step-by-step explanation:

Given

$x=t$

$y=e^{-t}$

$z=2t-t^2$

(0, 1, 0)

The vector equation is given as:

$r(t) = (x,y,z)$

Substitute values for x, y and z

$r(t) = (t,\ e^{-t},\ 2t - t^2)$

Differentiate:

$r'(t) = (1,\ -e^{-t},\ 2 - 2t)$

The parametric value that corresponds to (0, 1, 0) is:

$t = 0$

Substitute 0 for t in r'(t)

$r'(t) = (1,\ -e^{-t},\ 2 - 2t)$

$r'(0) = (1,\ -e^{-0},\ 2 - 2*0)$

$r'(0) = (1,\ -1,\ 2 - 0)$

$r'(0) = (1,\ -1,\ 2)$

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

$r(t) = a + tv$

Such that:

$a = (0,1,0)$ and $v = r'(0) = (1,-1,2)$

The equation becomes:

$r(t) = (0,1,0) + t(1,-1,2)$

$r(t) = (0,1,0) + (t,-t,2t)$

$r(t) = (0+t,1-t,0+2t)$

$r(t) = (t,1-t,2t)$

By comparison:

$r(t) = (x,y,z)$ and $r(t) = (t,1-t,2t)$

The parametric equations for the tangent line are:

$x = t$

$y = 1 - t$

$z = 2t$

7 0

3 years ago

Lisa is buying a computer for $1,500. The sales tax rate is 8.5%. Which expression should be used to calculate t, the total cost

Sveta_85 [38]

Answer:

Step-by-step explanation:

Step one:

given data

price of computer= $1500

sales tax= 8.5%

Step two

Let us compute the amount in tax

tax= 8.5/100*1500

=0.085*1500

=$127.5

Let the total cost be t

hence

t=1500+0.085*1500

t=1500+127.5

t=$1627.5

6 0

3 years ago

I don't get it like i don't even know what i'm looking at

Tatiana [17]

Answer:

Answer(s): <u>15m</u>

<u>20(m-0.25m)</u>

Step-by-step explanation:

5 0

3 years ago

The amount of money that college students spend on rent each month is usually between $300 and $600. However, there are a few st

miskamm [114]

Answer:

Inter quartile range.

Step-by-step explanation:

We have been given that the amount of money that college students spend on rent each month is usually between $300 and $600. However, there are a few students who spend $1,300.

We know that range, interquartile range, variance and standard deviation are the measures of spread.

Since $1300 is large valued outlier as mostly students spend between $300 and $600, so mean of our given data set will be grater than median and our given data is skewed to right.

Since range, variance and standard deviation are not good measure of spread for skewed data, therefore, inter-quartile range would be the most appropriate to measure the amount of money that college students spend on rent per month.

7 0

3 years ago

Select the answer choice that correctly describes the graph (on a number line) of the inequality: h > 7

Lerok [7]

Close circle at 7 with an arrow pointing

right.

hope it helps

6 0

3 years ago